TSTP Solution File: SWV259-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV259-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 : Wed Jul 20 21:32:23 EDT 2022

% Result   : Unsatisfiable 26.65s 26.85s
% Output   : Refutation 26.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   6 unt;   0 nHn;   6 RR)
%            Number of literals    :   12 (   0 equ;   5 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    :    6 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :   13 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
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(cls_Set_Oinsert__subset_1,axiom,
    ( ~ c_lessequals(c_insert(X,Y,Z),U,tc_set(Z))
    | c_lessequals(Y,U,tc_set(Z)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Set_Oinsert__subset_1) ).

cnf(cls_Message_Oparts__subset__iff_0,axiom,
    ( ~ c_lessequals(c_Message_Oparts(X),c_Message_Oparts(Y),tc_set(tc_Message_Omsg))
    | c_lessequals(X,c_Message_Oparts(Y),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__subset__iff_0) ).

cnf(cls_Message_Oparts__subset__iff_1,axiom,
    ( ~ c_lessequals(X,c_Message_Oparts(Y),tc_set(tc_Message_Omsg))
    | c_lessequals(c_Message_Oparts(X),c_Message_Oparts(Y),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__subset__iff_1) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_lessequals(c_Message_Oparts(v_H),c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(5095,plain,
    c_lessequals(X,c_Message_Oparts(X),tc_set(tc_Message_Omsg)),
    inference('HYPERRESOLVE',[status(thm)],[cls_Message_Oparts__subset__iff_0,cls_Set_Osubset__refl_0]) ).

cnf(5098,plain,
    ~ c_lessequals(v_H,c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_Oparts__subset__iff_1,cls_conjecture_1]) ).

cnf(29942,plain,
    c_lessequals(X,c_Message_Oparts(c_insert(Y,X,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    inference('HYPERRESOLVE',[status(thm)],[cls_Set_Oinsert__subset_1,5095]) ).

cnf(29943,plain,
    $false,
    inference('REWRITE',[status(thm)],[5098,29942]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV259-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n022.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 : Wed Jun 15 08:51:48 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-15T08:51:48
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-15T08:51:48
% 0.65/0.82  
% 0.65/0.84  ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.69/0.86  ; Recognized right identity assertion (= (|c_NatArith_Oof__nat| ?X |tc_nat|) ?X).
% 0.69/0.86  ; Recognized left identity assertion (= (|c_Numeral_Obin__add| |c_Numeral_OPls| ?X) ?X).
% 0.69/0.88  WARNING:
% 0.69/0.88     |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.69/0.88  WARNING:
% 0.69/0.88     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.69/0.88  WARNING:
% 0.69/0.88     |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.69/0.88  WARNING:
% 0.69/0.88     |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.69/0.88  WARNING:
% 0.69/0.88     |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.88  WARNING:
% 0.69/0.88     |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.88  WARNING:
% 0.69/0.88     |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.88  WARNING:
% 0.69/0.88     |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.88  WARNING:
% 0.69/0.88     |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.88  WARNING:
% 0.69/0.88     |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.88  WARNING:
% 0.69/0.88     |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.88  WARNING:
% 0.69/0.88     |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.88  WARNING:
% 0.69/0.88     |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.69/0.88  WARNING:
% 0.69/0.88     |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.88  WARNING:
% 0.69/0.88     |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.88  WARNING:
% 0.69/0.88     |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.89  WARNING:
% 0.69/0.89     |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.89  WARNING:
% 0.69/0.89     |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 26.65/26.85  ; Recognized right identity assertion (= (|c_Numeral_Obin__add| ?X |c_Numeral_OPls|) ?X).
% 26.65/26.85  
% 26.65/26.85  #||
% 26.65/26.85  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.65/26.85  % SZS output start Refutation
% See solution above
% 26.65/26.85  ||#
% 26.65/26.85  
% 26.65/26.85  ; Summary of computation:
% 26.65/26.85  ;     62831 formulas have been input or derived (from 2413 formulas).
% 26.65/26.85  ;     29943 (48%) were retained.  Of these,
% 26.65/26.85  ;         3356 (11%) were simplified or subsumed later,
% 26.65/26.85  ;        26587 (89%) are still being kept.
% 26.65/26.85  ; 
% 26.65/26.85  ; Run time in seconds excluding printing time:
% 26.65/26.85  ;     0.343   1%   Read assertion file          (1 call)
% 26.65/26.85  ;     0.039   0%   Assert                       (2,779 calls)
% 26.65/26.85  ;     4.356  17%   Process new row              (55,609 calls)
% 26.65/26.85  ;    11.513  44%   Resolution                   (4,824 calls)
% 26.65/26.85  ;     0.211   1%   Paramodulation               (2,412 calls)
% 26.65/26.85  ;     0.000   0%   Factoring                    (74 calls)
% 26.65/26.85  ;     0.322   1%   Condensing                   (13,414 calls)
% 26.65/26.85  ;     3.406  13%   Forward subsumption          (13,414 calls)
% 26.65/26.85  ;     1.173   4%   Backward subsumption         (10,590 calls)
% 26.65/26.85  ;     0.086   0%   Clause clause subsumption    (18,199 calls)
% 26.65/26.85  ;     2.950  11%   Forward simplification       (54,244 calls)
% 26.65/26.85  ;     1.160   4%   Backward simplification      (29,800 calls)
% 26.65/26.85  ;     0.544   2%   Ordering                     (68,297 calls)
% 26.65/26.85  ;     0.000   0%   Sortal reasoning             (32 calls)
% 26.65/26.85  ;     0.016   0%   Purity testing               (1 call)
% 26.65/26.85  ;     0.256   1%   Other
% 26.65/26.85  ;    26.375        Total
% 26.65/26.85  ;    26.378        Real time
% 26.65/26.85  ; 
% 26.65/26.86  ; Term-hash-array has 79,847 terms in all.
% 26.65/26.86  ; Feature-vector-row-index has 8,742 entries (8,765 at peak, 10,590 added, 1,848 deleted).
% 26.65/26.86  ; Feature-vector-row-index has 73,188 nodes (73,407 at peak, 91,878 added, 18,690 deleted).
% 26.65/26.86  ;  Retrieved 31,410 possibly forward subsuming rows in 13,414 calls.
% 26.65/26.86  ;  Retrieved 6,885 possibly backward subsumed rows in 10,590 calls.
% 26.65/26.86  ; Path-index has 72,537 entries (72,661 at peak, 81,710 added, 9,173 deleted).
% 26.65/26.86  ; Path-index has 175,867 nodes (175,895 at peak, 187,856 added, 11,989 deleted).
% 26.65/26.86  ; Trie-index has 72,537 entries (72,661 at peak, 81,710 added, 9,173 deleted).
% 26.65/26.86  ; Trie-index has 519,662 nodes (520,416 at peak, 583,507 added, 63,845 deleted).
% 26.65/26.86  ; Retrieved 170,665 generalization terms in 425,085 calls.
% 26.65/26.86  ; Retrieved 29,837 instance terms in 19,765 calls.
% 26.65/26.86  ; Retrieved 12,962,295 unifiable terms in 58,721 calls.
% 26.65/26.86  ; 
% 26.65/26.86  ; The agenda of rows to process has 70 entries:
% 26.65/26.86  ;    11 with value 14             10 with value 20               1 with value 26
% 26.65/26.86  ;    17 with value 15              4 with value 21               2 with value 27
% 26.65/26.86  ;     2 with value 16              1 with value 22               3 with value 31
% 26.65/26.86  ;     1 with value 17              2 with value 23               1 with value 49
% 26.65/26.86  ;    10 with value 18              3 with value 24               1 with value 55
% 26.65/26.86  ;     1 with value 19
% 26.65/26.86  ; The agenda of rows to give has 24382 entries:
% 26.65/26.86  ;     1 with value (4 8)          98 with value (4 60)          10 with value (4 111)
% 26.65/26.86  ;    24 with value (4 9)          63 with value (4 61)          13 with value (4 112)
% 26.65/26.86  ;   278 with value (4 10)         86 with value (4 62)          13 with value (4 113)
% 26.65/26.86  ;   427 with value (4 11)         78 with value (4 63)           4 with value (4 114)
% 26.65/26.86  ;  1008 with value (4 12)         81 with value (4 64)           9 with value (4 115)
% 26.65/26.86  ;   930 with value (4 13)         58 with value (4 65)           5 with value (4 116)
% 26.65/26.86  ;  1377 with value (4 14)         85 with value (4 66)           3 with value (4 117)
% 26.65/26.86  ;   602 with value (4 15)        100 with value (4 67)           7 with value (4 118)
% 26.65/26.86  ;   952 with value (4 16)         74 with value (4 68)          11 with value (4 119)
% 26.65/26.86  ;   880 with value (4 17)         89 with value (4 69)           4 with value (4 120)
% 26.65/26.86  ;   985 with value (4 18)         83 with value (4 70)           2 with value (4 121)
% 26.65/26.86  ;   479 with value (4 19)         82 with value (4 71)           5 with value (4 122)
% 26.65/26.86  ;   643 with value (4 20)         76 with value (4 72)           2 with value (4 123)
% 26.65/26.86  ;   677 with value (4 21)         61 with value (4 73)           6 with value (4 124)
% 26.65/26.86  ;  1279 with value (4 22)         77 with value (4 74)           2 with value (4 125)
% 26.65/26.86  ;   784 with value (4 23)         67 with value (4 75)           2 with value (4 126)
% 26.65/26.86  ;   670 with value (4 24)         66 with value (4 76)           2 with value (4 127)
% 26.65/26.86  ;   778 with value (4 25)         79 with value (4 77)           3 with value (4 128)
% 26.65/26.86  ;   538 with value (4 26)         46 with value (4 78)           3 with value (4 129)
% 26.65/26.86  ;   534 with value (4 27)         66 with value (4 79)           2 with value (4 131)
% 26.65/26.86  ;   633 with value (4 28)         64 with value (4 80)           4 with value (4 133)
% 26.65/26.86  ;   461 with value (4 29)         44 with value (4 81)           5 with value (4 134)
% 26.65/26.86  ;   586 with value (4 30)         47 with value (4 82)           2 with value (4 137)
% 26.65/26.86  ;   446 with value (4 31)         33 with value (4 83)           2 with value (4 138)
% 26.65/26.86  ;   504 with value (4 32)         36 with value (4 84)           1 with value (4 140)
% 26.65/26.86  ;   387 with value (4 33)         46 with value (4 85)           2 with value (4 141)
% 26.65/26.86  ;   271 with value (4 34)         34 with value (4 86)           1 with value (4 142)
% 26.65/26.86  ;   364 with value (4 35)         41 with value (4 87)           1 with value (4 145)
% 26.65/26.86  ;   211 with value (4 36)         34 with value (4 88)           5 with value (4 152)
% 26.65/26.86  ;   260 with value (4 37)         21 with value (4 89)           2 with value (4 154)
% 26.65/26.86  ;   305 with value (4 38)         35 with value (4 90)           1 with value (4 157)
% 26.65/26.86  ;   461 with value (4 39)         27 with value (4 91)           3 with value (4 164)
% 26.65/26.86  ;   231 with value (4 40)         13 with value (4 92)           1 with value (4 165)
% 26.65/26.86  ;   365 with value (4 41)         43 with value (4 93)           1 with value (4 169)
% 26.65/26.86  ;   412 with value (4 42)         20 with value (4 94)           2 with value (4 171)
% 26.65/26.86  ;   281 with value (4 43)         23 with value (4 95)           2 with value (4 176)
% 26.65/26.86  ;   179 with value (4 44)         29 with value (4 96)           2 with value (4 178)
% 26.65/26.86  ;   137 with value (4 45)         23 with value (4 97)           4 with value (4 180)
% 26.65/26.86  ;   133 with value (4 46)         10 with value (4 98)           1 with value (4 185)
% 26.65/26.86  ;   116 with value (4 47)         27 with value (4 99)           2 with value (4 186)
% 26.65/26.86  ;   140 with value (4 48)         15 with value (4 100)          2 with value (4 195)
% 26.65/26.86  ;   191 with value (4 49)         15 with value (4 101)          1 with value (4 202)
% 26.65/26.86  ;   107 with value (4 50)          9 with value (4 102)          2 with value (4 203)
% 26.65/26.86  ;   107 with value (4 51)         13 with value (4 103)          2 with value (4 205)
% 26.65/26.86  ;   168 with value (4 52)         10 with value (4 104)          1 with value (4 208)
% 26.65/26.86  ;   105 with value (4 53)         24 with value (4 105)          2 with value (4 213)
% 26.65/26.86  ;   113 with value (4 54)          5 with value (4 106)          2 with value (4 220)
% 26.65/26.86  ;    87 with value (4 55)         10 with value (4 107)          1 with value (4 225)
% 26.65/26.86  ;   104 with value (4 56)         13 with value (4 108)          2 with value (4 244)
% 26.65/26.86  ;    66 with value (4 57)         17 with value (4 109)          2 with value (4 274)
% 26.65/26.86  ;    64 with value (4 58)         12 with value (4 110)          1 with value (4 321)
% 26.65/26.86  ;    63 with value (4 59)
% 26.65/26.86  Evaluation took:
% 26.65/26.86    26.388 seconds of real time
% 26.65/26.86    25.055567 seconds of user run time
% 26.65/26.86    1.331591 seconds of system run time
% 26.65/26.86    [Run times include 6.609 seconds GC run time.]
% 26.65/26.86    0 calls to %EVAL
% 26.65/26.86    0 page faults and
% 26.65/26.86    1,633,231,512 bytes consed.
% 26.65/26.86  :PROOF-FOUND
% 26.65/26.86  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T08:52:14
% 26.65/26.86  :PROOF-FOUND
% 26.65/26.86  * 
%------------------------------------------------------------------------------