TSTP Solution File: ANA045-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ANA045-1 : TPTP v8.1.0. Released v3.2.0.
% 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 : Thu Jul 14 19:27:01 EDT 2022

% Result   : Unsatisfiable 23.90s 24.06s
% Output   : Refutation 23.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   10 (   7 unt;   0 nHn;   6 RR)
%            Number of literals    :   14 (   2 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-3 aty)
%            Number of variables   :   11 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Ring__and__Field_Omult__cancel__left1_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X)
    | c_0 = c_times(c_0,Y,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Ring__and__Field_Omult__cancel__left1_1) ).

cnf(cls_SetInterval_OlessThan__subset__iff_0,axiom,
    ( ~ class_Orderings_Olinorder(X)
    | ~ c_lessequals(c_SetInterval_OlessThan(Y,X),c_SetInterval_OlessThan(Z,X),tc_set(X))
    | c_lessequals(Y,Z,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OlessThan__subset__iff_0) ).

cnf(cls_Set_Osubset__refl_0,axiom,
    c_lessequals(X,X,tc_set(Y)),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__refl_0) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_33,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X)
    | class_Orderings_Olinorder(X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_33) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_lessequals(c_0,c_times(X,c_HOL_Oabs(v_g(v_x(X)),t_b),t_b),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(tfree_tcs,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).

cnf(2726,plain,
    class_Orderings_Olinorder(t_b),
    inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_33,tfree_tcs]) ).

cnf(2947,plain,
    c_0 = c_times(c_0,X,t_b),
    inference('HYPERRESOLVE',[status(thm)],[cls_Ring__and__Field_Omult__cancel__left1_1,tfree_tcs]) ).

cnf(18396,plain,
    c_lessequals(X,X,t_b),
    inference('HYPERRESOLVE',[status(thm)],[cls_SetInterval_OlessThan__subset__iff_0,2726,cls_Set_Osubset__refl_0]) ).

cnf(29513,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_conjecture_0,2947,theory(equality)]),18396]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : ANA045-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n029.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 : Fri Jul  8 02:59:14 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-08T02:59:14
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-08T02:59:14
% 0.60/0.80  
% 0.60/0.82  ; Recognized right identity assertion (= (|c_NatArith_Oof__nat| ?X |tc_nat|) ?X).
% 0.60/0.82  ; Recognized left identity assertion (= (|c_Numeral_Obin__add| |c_Numeral_OPls| ?X) ?X).
% 0.68/0.83  ; Recognized right identity assertion (= (|c_Numeral_Obin__add| ?X |c_Numeral_OPls|) ?X).
% 0.68/0.86  WARNING:
% 0.68/0.86     |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.68/0.86  WARNING:
% 0.68/0.86     |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.68/0.86  WARNING:
% 0.68/0.86     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.68/0.86  WARNING:
% 0.68/0.86     |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.68/0.86  WARNING:
% 0.68/0.86     |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.68/0.86  WARNING:
% 0.68/0.86     |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.68/0.86  WARNING:
% 0.68/0.86     |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.68/0.86  WARNING:
% 0.68/0.86     |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.68/0.86  WARNING:
% 0.68/0.86     |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 23.90/24.06  ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 23.90/24.06  
% 23.90/24.06  #||
% 23.90/24.06  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.90/24.06  % SZS output start Refutation
% See solution above
% 23.90/24.06  ||#
% 23.90/24.06  
% 23.90/24.06  ; Summary of computation:
% 23.90/24.06  ;     57836 formulas have been input or derived (from 2801 formulas).
% 23.90/24.06  ;     29513 (51%) were retained.  Of these,
% 23.90/24.06  ;         3808 (13%) were simplified or subsumed later,
% 23.90/24.06  ;        25705 (87%) are still being kept.
% 23.90/24.06  ; 
% 23.90/24.06  ; Run time in seconds:
% 23.90/24.06  ;     0.333   1%   Read assertion file          (1 call)
% 23.90/24.06  ;     0.038   0%   Assert                       (2,784 calls)
% 23.90/24.06  ;     4.640  20%   Process new row              (54,128 calls)
% 23.90/24.06  ;     5.149  22%   Resolution                   (5,600 calls)
% 23.90/24.06  ;     0.165   1%   Paramodulation               (2,800 calls)
% 23.90/24.06  ;     0.001   0%   Factoring                    (74 calls)
% 23.90/24.06  ;     0.447   2%   Condensing                   (19,810 calls)
% 23.90/24.06  ;     5.948  25%   Forward subsumption          (19,810 calls)
% 23.90/24.06  ;     2.234   9%   Backward subsumption         (16,777 calls)
% 23.90/24.06  ;     0.221   1%   Clause clause subsumption    (25,253 calls)
% 23.90/24.06  ;     2.902  12%   Forward simplification       (53,074 calls)
% 23.90/24.06  ;     0.526   2%   Backward simplification      (29,369 calls)
% 23.90/24.06  ;     0.695   3%   Ordering                     (87,333 calls)
% 23.90/24.06  ;     0.000   0%   Sortal reasoning             (32 calls)
% 23.90/24.06  ;     0.012   0%   Purity testing               (1 call)
% 23.90/24.06  ;     0.288   1%   Other
% 23.90/24.06  ;    23.599        Total
% 23.90/24.06  ;    23.599        Real time
% 23.90/24.06  ; 
% 23.90/24.07  ; Term-hash-array has 72,220 terms in all.
% 23.90/24.07  ; Feature-vector-row-index has 14,466 entries (14,466 at peak, 16,777 added, 2,311 deleted).
% 23.90/24.07  ; Feature-vector-row-index has 103,838 nodes (103,838 at peak, 125,750 added, 21,912 deleted).
% 23.90/24.07  ;  Retrieved 39,489 possibly forward subsuming rows in 19,810 calls.
% 23.90/24.07  ;  Retrieved 12,013 possibly backward subsumed rows in 16,777 calls.
% 23.90/24.07  ; Path-index has 64,527 entries (64,527 at peak, 74,499 added, 9,972 deleted).
% 23.90/24.07  ; Path-index has 156,559 nodes (156,559 at peak, 168,571 added, 12,012 deleted).
% 23.90/24.07  ; Trie-index has 64,527 entries (64,527 at peak, 74,499 added, 9,972 deleted).
% 23.90/24.07  ; Trie-index has 462,692 nodes (462,705 at peak, 529,274 added, 66,582 deleted).
% 23.90/24.07  ; Retrieved 152,734 generalization terms in 411,698 calls.
% 23.90/24.07  ; Retrieved 21,357 instance terms in 13,118 calls.
% 23.90/24.07  ; Retrieved 6,086,196 unifiable terms in 48,467 calls.
% 23.90/24.07  ; 
% 23.90/24.07  ; The agenda of rows to process has 14 entries:
% 23.90/24.07  ;     3 with value 10              3 with value 17               8 with value 33
% 23.90/24.07  ; The agenda of rows to give has 23106 entries:
% 23.90/24.07  ;    93 with value (4 9)         113 with value (4 62)          10 with value (4 115)
% 23.90/24.07  ;   306 with value (4 10)        109 with value (4 63)           7 with value (4 116)
% 23.90/24.07  ;   471 with value (4 11)        112 with value (4 64)           5 with value (4 117)
% 23.90/24.07  ;   613 with value (4 12)         77 with value (4 65)           7 with value (4 118)
% 23.90/24.07  ;   800 with value (4 13)        109 with value (4 66)          11 with value (4 119)
% 23.90/24.07  ;   567 with value (4 14)        137 with value (4 67)          10 with value (4 120)
% 23.90/24.07  ;   414 with value (4 15)         87 with value (4 68)           4 with value (4 121)
% 23.90/24.07  ;   487 with value (4 16)        111 with value (4 69)           5 with value (4 122)
% 23.90/24.07  ;   488 with value (4 17)        116 with value (4 70)           2 with value (4 123)
% 23.90/24.07  ;   470 with value (4 18)        112 with value (4 71)          12 with value (4 124)
% 23.90/24.07  ;   415 with value (4 19)        112 with value (4 72)           6 with value (4 125)
% 23.90/24.07  ;   436 with value (4 20)         85 with value (4 73)           2 with value (4 126)
% 23.90/24.07  ;   514 with value (4 21)        104 with value (4 74)           2 with value (4 127)
% 23.90/24.07  ;   529 with value (4 22)        119 with value (4 75)           3 with value (4 128)
% 23.90/24.07  ;   581 with value (4 23)         82 with value (4 76)           3 with value (4 129)
% 23.90/24.07  ;   587 with value (4 24)         81 with value (4 77)           2 with value (4 131)
% 23.90/24.07  ;   592 with value (4 25)         53 with value (4 78)           4 with value (4 133)
% 23.90/24.07  ;   477 with value (4 26)         94 with value (4 79)           5 with value (4 134)
% 23.90/24.07  ;   519 with value (4 27)         88 with value (4 80)           2 with value (4 137)
% 23.90/24.07  ;   477 with value (4 28)         77 with value (4 81)           2 with value (4 138)
% 23.90/24.07  ;   617 with value (4 29)         73 with value (4 82)           1 with value (4 140)
% 23.90/24.07  ;   638 with value (4 30)         62 with value (4 83)           2 with value (4 141)
% 23.90/24.07  ;   549 with value (4 31)         58 with value (4 84)           4 with value (4 142)
% 23.90/24.07  ;   641 with value (4 32)         57 with value (4 85)           3 with value (4 143)
% 23.90/24.07  ;   504 with value (4 33)         40 with value (4 86)           1 with value (4 145)
% 23.90/24.07  ;   505 with value (4 34)         53 with value (4 87)           2 with value (4 147)
% 23.90/24.07  ;   444 with value (4 35)         48 with value (4 88)           2 with value (4 148)
% 23.90/24.07  ;   349 with value (4 36)         28 with value (4 89)           3 with value (4 149)
% 23.90/24.07  ;   410 with value (4 37)         38 with value (4 90)           1 with value (4 150)
% 23.90/24.07  ;   435 with value (4 38)         49 with value (4 91)           5 with value (4 152)
% 23.90/24.07  ;   484 with value (4 39)         22 with value (4 92)           1 with value (4 153)
% 23.90/24.07  ;   387 with value (4 40)         47 with value (4 93)           3 with value (4 154)
% 23.90/24.07  ;   399 with value (4 41)         38 with value (4 94)           1 with value (4 157)
% 23.90/24.07  ;   371 with value (4 42)         40 with value (4 95)           3 with value (4 164)
% 23.90/24.07  ;   255 with value (4 43)         35 with value (4 96)           1 with value (4 165)
% 23.90/24.07  ;   228 with value (4 44)         24 with value (4 97)           1 with value (4 169)
% 23.90/24.07  ;   223 with value (4 45)         20 with value (4 98)           2 with value (4 171)
% 23.90/24.07  ;   197 with value (4 46)         35 with value (4 99)           2 with value (4 176)
% 23.90/24.07  ;   168 with value (4 47)         32 with value (4 100)          2 with value (4 178)
% 23.90/24.07  ;   215 with value (4 48)         21 with value (4 101)          4 with value (4 180)
% 23.90/24.07  ;   236 with value (4 49)         11 with value (4 102)          1 with value (4 185)
% 23.90/24.07  ;   186 with value (4 50)         18 with value (4 103)          2 with value (4 186)
% 23.90/24.07  ;   209 with value (4 51)         14 with value (4 104)          2 with value (4 195)
% 23.90/24.07  ;   232 with value (4 52)         26 with value (4 105)          1 with value (4 202)
% 23.90/24.07  ;   171 with value (4 53)          7 with value (4 106)          2 with value (4 203)
% 23.90/24.07  ;   162 with value (4 54)         10 with value (4 107)          2 with value (4 205)
% 23.90/24.07  ;   139 with value (4 55)         13 with value (4 108)          1 with value (4 208)
% 23.90/24.07  ;   137 with value (4 56)         25 with value (4 109)          2 with value (4 213)
% 23.90/24.07  ;   125 with value (4 57)         14 with value (4 110)          2 with value (4 220)
% 23.90/24.07  ;   144 with value (4 58)         10 with value (4 111)          1 with value (4 225)
% 23.90/24.07  ;   113 with value (4 59)         19 with value (4 112)          2 with value (4 244)
% 23.90/24.07  ;   136 with value (4 60)         16 with value (4 113)          2 with value (4 274)
% 23.90/24.07  ;   105 with value (4 61)          6 with value (4 114)          1 with value (4 321)
% 23.90/24.07  Evaluation took:
% 23.90/24.07    23.612 seconds of real time
% 23.90/24.07    22.34811 seconds of user run time
% 23.90/24.07    1.264914 seconds of system run time
% 23.90/24.07    [Run times include 6.616 seconds GC run time.]
% 23.90/24.07    0 calls to %EVAL
% 23.90/24.07    0 page faults and
% 23.90/24.07    1,535,328,992 bytes consed.
% 23.90/24.07  :PROOF-FOUND
% 23.90/24.07  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T02:59:38
% 23.90/24.07  :PROOF-FOUND
% 23.90/24.07  * 
%------------------------------------------------------------------------------