TSTP Solution File: LCL806-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL806-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n026.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 14:26:17 EDT 2022

% Result   : Unsatisfiable 2.23s 2.40s
% Output   : Refutation 2.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    6 (   5 unt;   0 nHn;   6 RR)
%            Number of literals    :    9 (   0 equ;   4 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :    4 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Cons_I1_J_0,axiom,
    ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),X),Y)))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,Z),X),v_T____))
    | ~ hBOOL(hAPP(c_InductTermi_OIT,X))
    | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),Z),Y),v_T____)),v_b____),U)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Cons_I1_J_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_x),v_xc),v_T____)),v_b____),v_xa)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    hBOOL(hAPP(c_InductTermi_OIT,v_xb)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_x),v_xb),v_T____)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_3,negated_conjecture,
    ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),v_xb),v_xc))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(3249,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[cls_Cons_I1_J_0,cls_conjecture_3,cls_conjecture_2,cls_conjecture_1,cls_conjecture_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL806-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n026.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 : Mon Jul  4 11:58:22 EDT 2022
% 0.13/0.34  % 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 2022-07-04T11:58:22
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-04T11:58:22
% 0.19/0.59  
% 0.19/0.59  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.43/0.60  WARNING:
% 0.43/0.60     |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.60  WARNING:
% 0.43/0.60     |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.60  WARNING:
% 0.43/0.60     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.60  WARNING:
% 0.43/0.60     |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.60  WARNING:
% 0.43/0.60     |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.60  WARNING:
% 0.43/0.60     |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.60  WARNING:
% 0.43/0.60     |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 2.23/2.40  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 2.23/2.40  
% 2.23/2.40  #||
% 2.23/2.40  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.23/2.40  % SZS output start Refutation
% See solution above
% 2.23/2.40  ||#
% 2.23/2.40  
% 2.23/2.40  ; Summary of computation:
% 2.23/2.40  ;      7755 formulas have been input or derived (from 306 formulas).
% 2.23/2.40  ;      3249 (42%) were retained.  Of these,
% 2.23/2.40  ;           91 ( 3%) were simplified or subsumed later,
% 2.23/2.40  ;         3158 (97%) are still being kept.
% 2.23/2.40  ; 
% 2.23/2.40  ; Run time in seconds excluding printing time:
% 2.23/2.40  ;     0.106   5%   Read assertion file          (1 call)
% 2.23/2.40  ;     0.008   0%   Assert                       (411 calls)
% 2.23/2.40  ;     0.435  23%   Process new row              (6,970 calls)
% 2.23/2.40  ;     0.126   7%   Resolution                   (610 calls)
% 2.23/2.40  ;     0.063   3%   Paramodulation               (305 calls)
% 2.23/2.40  ;     0.000   0%   Factoring                    (8 calls)
% 2.23/2.40  ;     0.051   3%   Condensing                   (3,308 calls)
% 2.23/2.40  ;     0.407  21%   Forward subsumption          (3,308 calls)
% 2.23/2.40  ;     0.117   6%   Backward subsumption         (1,920 calls)
% 2.23/2.40  ;     0.055   3%   Clause clause subsumption    (9,820 calls)
% 2.23/2.40  ;     0.360  19%   Forward simplification       (6,940 calls)
% 2.23/2.40  ;     0.050   3%   Backward simplification      (3,235 calls)
% 2.23/2.40  ;     0.090   5%   Ordering                     (21,954 calls)
% 2.23/2.40  ;     0.000   0%   Sortal reasoning             (32 calls)
% 2.23/2.40  ;     0.001   0%   Purity testing               (1 call)
% 2.23/2.40  ;     0.062   3%   Other
% 2.23/2.40  ;     1.931        Total
% 2.23/2.40  ;     1.932        Real time
% 2.23/2.40  ; 
% 2.23/2.40  ; Term-hash-array has 11,884 terms in all.
% 2.23/2.40  ; Feature-vector-row-index has 1,897 entries (1,897 at peak, 1,920 added, 23 deleted).
% 2.23/2.40  ; Feature-vector-row-index has 17,371 nodes (17,371 at peak, 17,598 added, 227 deleted).
% 2.23/2.40  ;  Retrieved 16,148 possibly forward subsuming rows in 3,308 calls.
% 2.23/2.40  ;  Retrieved 1,078 possibly backward subsumed rows in 1,920 calls.
% 2.23/2.40  ; Path-index has 11,746 entries (11,746 at peak, 11,991 added, 245 deleted).
% 2.23/2.40  ; Path-index has 42,639 nodes (42,639 at peak, 42,907 added, 268 deleted).
% 2.23/2.40  ; Trie-index has 11,746 entries (11,746 at peak, 11,991 added, 245 deleted).
% 2.23/2.40  ; Trie-index has 71,810 nodes (71,810 at peak, 73,033 added, 1,223 deleted).
% 2.23/2.40  ; Retrieved 31,100 generalization terms in 58,605 calls.
% 2.23/2.40  ; Retrieved 3,215 instance terms in 1,882 calls.
% 2.23/2.40  ; Retrieved 164,357 unifiable terms in 3,662 calls.
% 2.23/2.40  ; 
% 2.23/2.40  ; The agenda of rows to process has 35 entries:
% 2.23/2.40  ;     1 with value 7               6 with value 63               1 with value 71
% 2.23/2.40  ;     1 with value 13              1 with value 64               2 with value 75
% 2.23/2.40  ;     4 with value 16              4 with value 65               2 with value 78
% 2.23/2.40  ;     1 with value 24              2 with value 66               2 with value 81
% 2.23/2.40  ;     2 with value 60              2 with value 67               1 with value 87
% 2.23/2.40  ;     1 with value 61              2 with value 68
% 2.23/2.40  ; The agenda of input rows to give has 6 entries:
% 2.23/2.40  ;     1 with value 59              1 with value 64               1 with value 1001
% 2.23/2.40  ;     1 with value 60              2 with value 72
% 2.23/2.40  ; The agenda of rows to give has 2846 entries:
% 2.23/2.40  ;     1 with value (4 6)          85 with value (4 36)           6 with value (4 66)
% 2.23/2.40  ;     4 with value (4 7)         106 with value (4 37)           7 with value (4 67)
% 2.23/2.40  ;     4 with value (4 8)          84 with value (4 38)           9 with value (4 68)
% 2.23/2.40  ;     9 with value (4 9)          65 with value (4 39)           9 with value (4 69)
% 2.23/2.40  ;     5 with value (4 10)         54 with value (4 40)           2 with value (4 70)
% 2.23/2.40  ;    10 with value (4 11)         64 with value (4 41)           2 with value (4 71)
% 2.23/2.40  ;     5 with value (4 12)         93 with value (4 42)           2 with value (4 72)
% 2.23/2.40  ;    14 with value (4 13)         68 with value (4 43)           3 with value (4 73)
% 2.23/2.40  ;    11 with value (4 14)         61 with value (4 44)           4 with value (4 74)
% 2.23/2.40  ;    26 with value (4 15)         57 with value (4 45)           1 with value (4 75)
% 2.23/2.40  ;    25 with value (4 16)         54 with value (4 46)           5 with value (4 76)
% 2.23/2.40  ;    21 with value (4 17)         36 with value (4 47)           1 with value (4 77)
% 2.23/2.40  ;    55 with value (4 18)         56 with value (4 48)           4 with value (4 78)
% 2.23/2.40  ;    32 with value (4 19)         37 with value (4 49)           2 with value (4 80)
% 2.23/2.40  ;    44 with value (4 20)         31 with value (4 50)           2 with value (4 81)
% 2.23/2.40  ;    65 with value (4 21)         38 with value (4 51)           5 with value (4 82)
% 2.23/2.40  ;    78 with value (4 22)         26 with value (4 52)           2 with value (4 83)
% 2.23/2.40  ;    55 with value (4 23)         34 with value (4 53)           1 with value (4 84)
% 2.23/2.40  ;    63 with value (4 24)         33 with value (4 54)           1 with value (4 86)
% 2.23/2.40  ;    85 with value (4 25)         27 with value (4 55)           4 with value (4 87)
% 2.23/2.40  ;   102 with value (4 26)         12 with value (4 56)           1 with value (4 88)
% 2.23/2.40  ;    61 with value (4 27)         18 with value (4 57)           4 with value (4 89)
% 2.23/2.40  ;    99 with value (4 28)         15 with value (4 58)           3 with value (4 90)
% 2.23/2.40  ;    91 with value (4 29)         17 with value (4 59)           1 with value (4 91)
% 2.23/2.40  ;    79 with value (4 30)         21 with value (4 60)           2 with value (4 92)
% 2.23/2.40  ;    74 with value (4 31)         13 with value (4 61)           2 with value (4 93)
% 2.23/2.40  ;    93 with value (4 32)         15 with value (4 62)           1 with value (4 94)
% 2.23/2.40  ;   106 with value (4 33)         13 with value (4 63)           2 with value (4 95)
% 2.23/2.40  ;    76 with value (4 34)         21 with value (4 64)           1 with value (4 96)
% 2.23/2.41  ;    90 with value (4 35)         19 with value (4 65)           1 with value (4 116)
% 2.23/2.41  Evaluation took:
% 2.23/2.41    1.934 seconds of real time
% 2.23/2.41    1.797443 seconds of user run time
% 2.23/2.41    0.137102 seconds of system run time
% 2.23/2.41    [Run times include 0.248 seconds GC run time.]
% 2.23/2.41    0 calls to %EVAL
% 2.23/2.41    0 page faults and
% 2.23/2.41    158,746,600 bytes consed.
% 2.23/2.41  :PROOF-FOUND
% 2.23/2.41  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T11:58:24
% 2.23/2.41  :PROOF-FOUND
% 2.23/2.41  * 
%------------------------------------------------------------------------------