TSTP Solution File: LCL835-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL835-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 14:26:33 EDT 2022

% Result   : Unsatisfiable 0.92s 1.16s
% Output   : Refutation 0.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   5 RR)
%            Number of literals    :    7 (   0 equ;   3 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   18 (  18 usr;  13 con; 0-5 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_subject__reduction_0,axiom,
    ( c_Type_Otyping(X,Y,Z)
    | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,U),Y))
    | ~ c_Type_Otyping(X,U,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subject__reduction_0) ).

cnf(cls_T_0,axiom,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_T_0) ).

cnf(cls_CHAINED_0,axiom,
    hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(1705,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_subject__reduction_0,cls_conjecture_0,cls_T_0]),cls_CHAINED_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL835-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n025.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 : Sun Jul  3 03:42:10 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T03:42:10
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-07-03T03:42:10
% 0.42/0.60  
% 0.42/0.60  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.42/0.61  WARNING:
% 0.42/0.61     |class_Ring__and__Field_Oring__1__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.42/0.61  WARNING:
% 0.42/0.61     |c_OrderedGroup_Omonoid__add| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.42/0.61  WARNING:
% 0.42/0.61     |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.42/0.61  WARNING:
% 0.42/0.61     |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.42/0.61  WARNING:
% 0.42/0.61     |c_Groebner__Basis_Ogb__semiring| is a 6-ary relation that occurs only negatively; disabling rows that contain it.
% 0.42/0.61  WARNING:
% 0.42/0.61     |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.42/0.61  WARNING:
% 0.42/0.61     |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.42/0.61  WARNING:
% 0.42/0.61     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.92/1.16  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.92/1.16  
% 0.92/1.16  #||
% 0.92/1.16  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.92/1.16  % SZS output start Refutation
% See solution above
% 0.92/1.16  ||#
% 0.92/1.16  
% 0.92/1.16  ; Summary of computation:
% 0.92/1.16  ;      4117 formulas have been input or derived (from 250 formulas).
% 0.92/1.16  ;      1705 (41%) were retained.  Of these,
% 0.92/1.16  ;           32 ( 2%) were simplified or subsumed later,
% 0.92/1.16  ;         1673 (98%) are still being kept.
% 0.92/1.16  ; 
% 0.92/1.16  ; Run time in seconds excluding printing time:
% 0.92/1.16  ;     0.113  16%   Read assertion file          (1 call)
% 0.92/1.16  ;     0.014   2%   Assert                       (494 calls)
% 0.92/1.16  ;     0.170  24%   Process new row              (3,629 calls)
% 0.92/1.16  ;     0.072  10%   Resolution                   (498 calls)
% 0.92/1.16  ;     0.011   2%   Paramodulation               (249 calls)
% 0.92/1.16  ;     0.000   0%   Factoring                    (5 calls)
% 0.92/1.16  ;     0.019   3%   Condensing                   (1,142 calls)
% 0.92/1.16  ;     0.052   7%   Forward subsumption          (1,142 calls)
% 0.92/1.16  ;     0.015   2%   Backward subsumption         (657 calls)
% 0.92/1.16  ;     0.029   4%   Clause clause subsumption    (2,601 calls)
% 0.92/1.16  ;     0.100  14%   Forward simplification       (3,566 calls)
% 0.92/1.16  ;     0.012   2%   Backward simplification      (1,701 calls)
% 0.92/1.16  ;     0.038   5%   Ordering                     (7,036 calls)
% 0.92/1.16  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.92/1.16  ;     0.002   0%   Purity testing               (1 call)
% 0.92/1.16  ;     0.047   7%   Other
% 0.92/1.16  ;     0.694        Total
% 0.92/1.16  ;     0.696        Real time
% 0.92/1.16  ; 
% 0.92/1.16  ; Term-hash-array has 4,248 terms in all.
% 0.92/1.16  ; Feature-vector-row-index has 649 entries (649 at peak, 657 added, 8 deleted).
% 0.92/1.16  ; Feature-vector-row-index has 4,201 nodes (4,201 at peak, 4,248 added, 47 deleted).
% 0.92/1.16  ;  Retrieved 4,024 possibly forward subsuming rows in 1,142 calls.
% 0.92/1.16  ;  Retrieved 323 possibly backward subsumed rows in 657 calls.
% 0.92/1.16  ; Path-index has 4,217 entries (4,217 at peak, 4,284 added, 67 deleted).
% 0.92/1.16  ; Path-index has 8,095 nodes (8,095 at peak, 8,204 added, 109 deleted).
% 0.92/1.16  ; Trie-index has 4,217 entries (4,217 at peak, 4,284 added, 67 deleted).
% 0.92/1.16  ; Trie-index has 18,154 nodes (18,154 at peak, 18,463 added, 309 deleted).
% 0.92/1.16  ; Retrieved 10,558 generalization terms in 18,449 calls.
% 0.92/1.16  ; Retrieved 1,571 instance terms in 1,180 calls.
% 0.92/1.16  ; Retrieved 85,902 unifiable terms in 3,159 calls.
% 0.92/1.16  ; 
% 0.92/1.16  ; The agenda of rows to process has 1 entry:
% 0.92/1.16  ;     1 with value 38
% 0.92/1.16  ; The agenda of input rows to give has 89 entries:
% 0.92/1.16  ;    11 with value 26              8 with value 33               1 with value 45
% 0.92/1.16  ;    10 with value 27              2 with value 34               2 with value 47
% 0.92/1.16  ;    16 with value 28              4 with value 35               1 with value 48
% 0.92/1.16  ;     5 with value 29              4 with value 36               3 with value 52
% 0.92/1.16  ;     4 with value 30              3 with value 38               1 with value 55
% 0.92/1.16  ;     6 with value 31              1 with value 40               1 with value 67
% 0.92/1.16  ;     5 with value 32              1 with value 42
% 0.92/1.16  ; The agenda of rows to give has 1335 entries:
% 0.92/1.16  ;     1 with value (4 6)          66 with value (4 21)          11 with value (4 36)
% 0.92/1.16  ;     5 with value (4 7)          73 with value (4 22)          16 with value (4 37)
% 0.92/1.16  ;     1 with value (4 8)          95 with value (4 23)          10 with value (4 38)
% 0.92/1.16  ;     4 with value (4 9)          71 with value (4 24)          15 with value (4 39)
% 0.92/1.16  ;    12 with value (4 10)         60 with value (4 25)          16 with value (4 40)
% 0.92/1.16  ;    14 with value (4 11)         68 with value (4 26)          12 with value (4 41)
% 0.92/1.16  ;    14 with value (4 12)         32 with value (4 27)           2 with value (4 42)
% 0.92/1.16  ;    23 with value (4 13)         33 with value (4 28)           2 with value (4 43)
% 0.92/1.16  ;    25 with value (4 14)         47 with value (4 29)           8 with value (4 44)
% 0.92/1.16  ;    34 with value (4 15)         64 with value (4 30)           2 with value (4 45)
% 0.92/1.16  ;    37 with value (4 16)         40 with value (4 31)           5 with value (4 46)
% 0.92/1.16  ;    45 with value (4 17)         54 with value (4 32)           7 with value (4 48)
% 0.92/1.16  ;    56 with value (4 18)         54 with value (4 33)           1 with value (4 50)
% 0.92/1.16  ;    76 with value (4 19)         31 with value (4 34)           1 with value (4 57)
% 0.92/1.16  ;    62 with value (4 20)         26 with value (4 35)           4 with value (4 65)
% 0.92/1.16  Evaluation took:
% 0.92/1.16    0.697 seconds of real time
% 0.92/1.16    0.642746 seconds of user run time
% 0.92/1.16    0.052873 seconds of system run time
% 0.92/1.16    [Run times include 0.035 seconds GC run time.]
% 0.92/1.16    0 calls to %EVAL
% 0.92/1.16    0 page faults and
% 0.92/1.16    48,058,720 bytes consed.
% 0.92/1.16  :PROOF-FOUND
% 0.92/1.16  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T03:42:11
% 0.92/1.16  :PROOF-FOUND
% 0.92/1.16  * 
%------------------------------------------------------------------------------