TSTP Solution File: SWV277-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV277-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n016.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 21:32:30 EDT 2022

% Result   : Unsatisfiable 1.68s 1.85s
% Output   : Refutation 1.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   5 RR)
%            Number of literals    :   10 (   0 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-1 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Set_OsubsetD_0,axiom,
    ( ~ c_in(X,Y,Z)
    | ~ c_lessequals(Y,U,tc_set(Z))
    | c_in(X,U,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetD_0) ).

cnf(cls_Message_Oanalz__subset__parts_0,axiom,
    c_lessequals(c_Message_Oanalz(X),c_Message_Oparts(X),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__subset__parts_0) ).

cnf(cls_Message_OkeysFor__mono_0,axiom,
    ( ~ c_lessequals(X,Y,tc_set(tc_Message_Omsg))
    | c_lessequals(c_Message_OkeysFor(X),c_Message_OkeysFor(Y),tc_set(tc_nat)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OkeysFor__mono_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_3,negated_conjecture,
    c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(5252,plain,
    c_lessequals(c_Message_OkeysFor(c_Message_Oanalz(X)),c_Message_OkeysFor(c_Message_Oparts(X)),tc_set(tc_nat)),
    inference('HYPERRESOLVE',[status(thm)],[cls_Message_OkeysFor__mono_0,cls_Message_Oanalz__subset__parts_0]) ).

cnf(5341,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_Set_OsubsetD_0,cls_conjecture_3,cls_conjecture_2]),5252]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV277-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n016.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 : Tue Jun 14 14:42:46 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 2022-06-14T14:42:46
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-06-14T14:42:46
% 0.65/0.84  
% 0.68/0.85  ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.68/0.87  ; Recognized right identity assertion (= (|c_NatArith_Oof__nat| ?X |tc_nat|) ?X).
% 0.68/0.87  ; Recognized left identity assertion (= (|c_Numeral_Obin__add| |c_Numeral_OPls| ?X) ?X).
% 0.68/0.90  WARNING:
% 0.68/0.90     |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.68/0.90  WARNING:
% 0.68/0.90     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.68/0.90  WARNING:
% 0.68/0.90     |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.68/0.90  WARNING:
% 0.68/0.90     |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.68/0.90  WARNING:
% 0.68/0.90     |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.68/0.90  WARNING:
% 0.68/0.90     |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.68/0.90  WARNING:
% 0.68/0.90     |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.68/0.90  WARNING:
% 0.68/0.90     |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.68/0.90  WARNING:
% 0.68/0.90     |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.68/0.90  WARNING:
% 0.68/0.90     |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.68/0.90  WARNING:
% 0.68/0.90     |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.68/0.90  WARNING:
% 0.68/0.90     |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.68/0.90  WARNING:
% 0.68/0.90     |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.68/0.90  WARNING:
% 0.68/0.90     |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.68/0.90  WARNING:
% 0.68/0.90     |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.68/0.90  WARNING:
% 0.68/0.90     |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.68/0.90  WARNING:
% 0.68/0.90     |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.68/0.90  WARNING:
% 0.68/0.90     |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.68/1.85  ; Recognized right identity assertion (= (|c_Numeral_Obin__add| ?X |c_Numeral_OPls|) ?X).
% 1.68/1.85  
% 1.68/1.85  #||
% 1.68/1.85  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.68/1.85  % SZS output start Refutation
% See solution above
% 1.68/1.85  ||#
% 1.68/1.85  
% 1.68/1.85  ; Summary of computation:
% 1.68/1.85  ;     11293 formulas have been input or derived (from 1412 formulas).
% 1.68/1.85  ;      5341 (47%) were retained.  Of these,
% 1.68/1.85  ;          466 ( 9%) were simplified or subsumed later,
% 1.68/1.85  ;         4875 (91%) are still being kept.
% 1.68/1.85  ; 
% 1.68/1.85  ; Run time in seconds:
% 1.68/1.85  ;     0.355  26%   Read assertion file          (1 call)
% 1.68/1.85  ;     0.050   4%   Assert                       (2,899 calls)
% 1.68/1.85  ;     0.266  19%   Process new row              (9,477 calls)
% 1.68/1.85  ;     0.201  15%   Resolution                   (2,822 calls)
% 1.68/1.85  ;     0.103   7%   Paramodulation               (1,411 calls)
% 1.68/1.85  ;     0.000   0%   Factoring                    (29 calls)
% 1.68/1.85  ;     0.028   2%   Condensing                   (2,379 calls)
% 1.68/1.85  ;     0.040   3%   Forward subsumption          (2,379 calls)
% 1.68/1.85  ;     0.086   6%   Backward subsumption         (2,169 calls)
% 1.68/1.85  ;     0.009   1%   Clause clause subsumption    (1,104 calls)
% 1.68/1.85  ;     0.097   7%   Forward simplification       (8,878 calls)
% 1.68/1.85  ;     0.051   4%   Backward simplification      (5,195 calls)
% 1.68/1.85  ;     0.018   1%   Ordering                     (5,962 calls)
% 1.68/1.85  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.68/1.85  ;     0.009   1%   Purity testing               (1 call)
% 1.68/1.85  ;     0.068   5%   Other
% 1.68/1.85  ;     1.381        Total
% 1.68/1.85  ;     1.382        Real time
% 1.68/1.85  ; 
% 1.68/1.85  ; Term-hash-array has 10,401 terms in all.
% 1.68/1.85  ; Feature-vector-row-index has 1,973 entries (1,973 at peak, 2,169 added, 196 deleted).
% 1.68/1.85  ; Feature-vector-row-index has 7,425 nodes (7,425 at peak, 9,335 added, 1,910 deleted).
% 1.68/1.85  ;  Retrieved 2,583 possibly forward subsuming rows in 2,379 calls.
% 1.68/1.85  ;  Retrieved 2,113 possibly backward subsumed rows in 2,169 calls.
% 1.68/1.85  ; Path-index has 9,871 entries (9,871 at peak, 10,587 added, 716 deleted).
% 1.68/1.85  ; Path-index has 36,676 nodes (36,676 at peak, 38,244 added, 1,568 deleted).
% 1.68/1.85  ; Trie-index has 9,871 entries (9,871 at peak, 10,587 added, 716 deleted).
% 1.68/1.85  ; Trie-index has 43,637 nodes (43,637 at peak, 48,055 added, 4,418 deleted).
% 1.68/1.85  ; Retrieved 7,055 generalization terms in 23,361 calls.
% 1.68/1.85  ; Retrieved 3,716 instance terms in 3,079 calls.
% 1.68/1.85  ; Retrieved 259,587 unifiable terms in 8,229 calls.
% 1.68/1.85  ; 
% 1.68/1.85  ; The agenda of rows to process has 67 entries:
% 1.68/1.85  ;     7 with value 13              3 with value 20               1 with value 25
% 1.68/1.85  ;     3 with value 14              2 with value 21               4 with value 27
% 1.68/1.85  ;    10 with value 15              5 with value 22               1 with value 28
% 1.68/1.85  ;     2 with value 16              8 with value 23               4 with value 29
% 1.68/1.85  ;    13 with value 17              1 with value 24               1 with value 31
% 1.68/1.85  ;     2 with value 18
% 1.68/1.85  ; The agenda of input rows to give has 787 entries:
% 1.68/1.85  ;   109 with value 17             18 with value 32               2 with value 48
% 1.68/1.85  ;    64 with value 18             14 with value 33               5 with value 49
% 1.68/1.85  ;    61 with value 19             17 with value 34               1 with value 51
% 1.68/1.85  ;    54 with value 20              8 with value 35               1 with value 52
% 1.68/1.85  ;    40 with value 21             17 with value 36               1 with value 53
% 1.68/1.85  ;    50 with value 22              4 with value 37               6 with value 56
% 1.68/1.85  ;    76 with value 23             14 with value 38               1 with value 58
% 1.68/1.85  ;    24 with value 24              5 with value 39               2 with value 61
% 1.68/1.85  ;    17 with value 25             10 with value 40               4 with value 62
% 1.68/1.85  ;    29 with value 26              6 with value 41               1 with value 65
% 1.68/1.85  ;    31 with value 27              1 with value 42               1 with value 82
% 1.68/1.85  ;    23 with value 28              8 with value 43               2 with value 85
% 1.68/1.85  ;    24 with value 29              3 with value 44               1 with value 88
% 1.68/1.85  ;    11 with value 30              2 with value 45               1 with value 90
% 1.68/1.85  ;    16 with value 31              2 with value 46
% 1.68/1.85  ; The agenda of rows to give has 2698 entries:
% 1.68/1.85  ;     2 with value (4 4)         204 with value (4 15)           5 with value (4 26)
% 1.68/1.85  ;     8 with value (4 5)         304 with value (4 16)          27 with value (4 27)
% 1.68/1.85  ;    18 with value (4 6)         221 with value (4 17)          15 with value (4 28)
% 1.68/1.85  ;    13 with value (4 7)         167 with value (4 18)          16 with value (4 29)
% 1.68/1.85  ;    75 with value (4 8)         126 with value (4 19)           4 with value (4 30)
% 1.68/1.85  ;    68 with value (4 9)         122 with value (4 20)           3 with value (4 31)
% 1.68/1.85  ;   199 with value (4 10)         71 with value (4 21)          14 with value (4 32)
% 1.68/1.85  ;    82 with value (4 11)         28 with value (4 22)           8 with value (4 33)
% 1.68/1.85  ;   295 with value (4 12)         27 with value (4 23)           4 with value (4 34)
% 1.68/1.85  ;   175 with value (4 13)         13 with value (4 24)           4 with value (4 37)
% 1.68/1.85  ;   371 with value (4 14)          9 with value (4 25)
% 1.68/1.85  Evaluation took:
% 1.68/1.85    1.383 seconds of real time
% 1.68/1.85    1.281059 seconds of user run time
% 1.68/1.85    0.102151 seconds of system run time
% 1.68/1.85    [Run times include 0.181 seconds GC run time.]
% 1.68/1.85    0 calls to %EVAL
% 1.68/1.85    0 page faults and
% 1.68/1.85    103,227,576 bytes consed.
% 1.68/1.85  :PROOF-FOUND
% 1.68/1.85  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T14:42:47
% 1.68/1.85  :PROOF-FOUND
% 1.68/1.85  * 
%------------------------------------------------------------------------------