TSTP Solution File: SWV263-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV263-1 : 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 21:32:24 EDT 2022

% Result   : Unsatisfiable 0.69s 0.87s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   7 RR)
%            Number of literals    :   10 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-1 aty)
%            Number of variables   :    6 (   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_Oparts_OInj_0,axiom,
    ( ~ c_in(X,Y,tc_Message_Omsg)
    | c_in(X,c_Message_Oparts(Y),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_lessequals(v_G,v_H,tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_in(v_X,v_G,tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

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

cnf(743,plain,
    ~ c_in(v_X,v_H,tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Message_Oparts_OInj_0,cls_conjecture_2]) ).

cnf(1487,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Set_OsubsetD_0,cls_conjecture_1,cls_conjecture_0]),743]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV263-1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % 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 16:53:01 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-14T16:53:01
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-06-14T16:53:01
% 0.42/0.63  
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.65  WARNING:
% 0.48/0.65     |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.66  WARNING:
% 0.48/0.66     |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.87  ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.69/0.87  
% 0.69/0.87  #||
% 0.69/0.87  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/0.87  % SZS output start Refutation
% See solution above
% 0.69/0.87  ||#
% 0.69/0.87  
% 0.69/0.87  ; Summary of computation:
% 0.69/0.87  ;      3941 formulas have been input or derived (from 449 formulas).
% 0.69/0.87  ;      1487 (38%) were retained.  Of these,
% 0.69/0.87  ;            3 ( 0%) were simplified or subsumed later,
% 0.69/0.87  ;         1484 (100%) are still being kept.
% 0.69/0.87  ; 
% 0.69/0.87  ; Run time in seconds excluding printing time:
% 0.69/0.87  ;     0.149  37%   Read assertion file          (1 call)
% 0.69/0.87  ;     0.018   4%   Assert                       (1,380 calls)
% 0.69/0.87  ;     0.101  25%   Process new row              (3,181 calls)
% 0.69/0.87  ;     0.043  11%   Resolution                   (896 calls)
% 0.69/0.87  ;     0.001   0%   Paramodulation               (448 calls)
% 0.69/0.87  ;     0.000   0%   Factoring                    (6 calls)
% 0.69/0.87  ;     0.004   1%   Condensing                   (493 calls)
% 0.69/0.87  ;     0.003   1%   Forward subsumption          (493 calls)
% 0.69/0.87  ;     0.008   2%   Backward subsumption         (473 calls)
% 0.69/0.87  ;     0.001   0%   Clause clause subsumption    (105 calls)
% 0.69/0.87  ;     0.017   4%   Forward simplification       (2,415 calls)
% 0.69/0.87  ;     0.010   2%   Backward simplification      (1,487 calls)
% 0.69/0.87  ;     0.000   0%   Ordering                     (214 calls)
% 0.69/0.87  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.69/0.87  ;     0.008   2%   Purity testing               (1 call)
% 0.69/0.87  ;     0.036   9%   Other
% 0.69/0.87  ;     0.400        Total
% 0.69/0.87  ;     0.401        Real time
% 0.69/0.87  ; 
% 0.69/0.87  ; Term-hash-array has 2,992 terms in all.
% 0.69/0.87  ; Feature-vector-row-index has 472 entries (472 at peak, 473 added, 1 deleted).
% 0.69/0.87  ; Feature-vector-row-index has 1,158 nodes (1,158 at peak, 1,163 added, 5 deleted).
% 0.69/0.87  ;  Retrieved 354 possibly forward subsuming rows in 493 calls.
% 0.69/0.87  ;  Retrieved 404 possibly backward subsumed rows in 473 calls.
% 0.69/0.87  ; Path-index has 3,010 entries (3,010 at peak, 3,016 added, 6 deleted).
% 0.69/0.87  ; Path-index has 10,694 nodes (10,694 at peak, 10,699 added, 5 deleted).
% 0.69/0.87  ; Trie-index has 3,010 entries (3,010 at peak, 3,016 added, 6 deleted).
% 0.69/0.87  ; Trie-index has 12,941 nodes (12,941 at peak, 12,954 added, 13 deleted).
% 0.69/0.87  ; Retrieved 1,036 generalization terms in 3,069 calls.
% 0.69/0.87  ; Retrieved 1,069 instance terms in 1,013 calls.
% 0.69/0.87  ; Retrieved 50,998 unifiable terms in 2,655 calls.
% 0.69/0.87  ; 
% 0.69/0.87  ; The agenda of rows to process has 82 entries:
% 0.69/0.87  ;     7 with value 6               2 with value 14               8 with value 23
% 0.69/0.87  ;     7 with value 8               3 with value 15               1 with value 24
% 0.69/0.87  ;     2 with value 9               1 with value 16               1 with value 25
% 0.69/0.87  ;    16 with value 10              1 with value 17               1 with value 27
% 0.69/0.87  ;    18 with value 11              1 with value 20               1 with value 28
% 0.69/0.87  ;     3 with value 12              4 with value 22               1 with value 31
% 0.69/0.87  ;     4 with value 13
% 0.69/0.87  ; The agenda of input rows to give has 127 entries:
% 0.69/0.87  ;    10 with value 17              2 with value 28               1 with value 42
% 0.69/0.87  ;     9 with value 18              5 with value 29               2 with value 46
% 0.69/0.87  ;    21 with value 19              1 with value 30               2 with value 56
% 0.69/0.87  ;     6 with value 20              2 with value 32               2 with value 62
% 0.69/0.87  ;    13 with value 21              2 with value 33               1 with value 65
% 0.69/0.87  ;     5 with value 22              1 with value 34               1 with value 82
% 0.69/0.87  ;     4 with value 23              3 with value 35               2 with value 85
% 0.69/0.87  ;     2 with value 24              4 with value 38               1 with value 88
% 0.69/0.87  ;     7 with value 26              3 with value 40               1 with value 90
% 0.69/0.87  ;     9 with value 27              5 with value 41
% 0.69/0.87  ; The agenda of rows to give has 908 entries:
% 0.69/0.87  ;     8 with value (4 6)          54 with value (4 13)          53 with value (4 19)
% 0.69/0.87  ;    12 with value (4 7)          78 with value (4 14)          52 with value (4 20)
% 0.69/0.87  ;    41 with value (4 8)          87 with value (4 15)          12 with value (4 21)
% 0.69/0.87  ;    25 with value (4 9)          73 with value (4 16)           1 with value (4 22)
% 0.69/0.87  ;   114 with value (4 10)         72 with value (4 17)           1 with value (4 23)
% 0.69/0.87  ;    24 with value (4 11)         65 with value (4 18)           1 with value (4 26)
% 0.69/0.87  ;   135 with value (4 12)
% 0.69/0.87  Evaluation took:
% 0.69/0.87    0.403 seconds of real time
% 0.69/0.87    0.370655 seconds of user run time
% 0.69/0.87    0.031759 seconds of system run time
% 0.69/0.87    [Run times include 0.027 seconds GC run time.]
% 0.69/0.87    0 calls to %EVAL
% 0.69/0.87    0 page faults and
% 0.69/0.87    27,236,056 bytes consed.
% 0.69/0.87  :PROOF-FOUND
% 0.69/0.87  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T16:53:02
% 0.69/0.87  :PROOF-FOUND
% 0.69/0.87  * 
%------------------------------------------------------------------------------