TSTP Solution File: SWV244-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV244-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 21:32:17 EDT 2022

% Result   : Unsatisfiable 32.87s 33.02s
% Output   : Refutation 32.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (   8 unt;   1 nHn;   8 RR)
%            Number of literals    :   17 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-3 aty)
%            Number of variables   :   16 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Set_OUnCI_0,axiom,
    ( ~ c_in(X,Y,Z)
    | c_in(X,c_union(U,Y,Z),Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnCI_0) ).

cnf(cls_Set_OUnCI_1,axiom,
    ( ~ c_in(X,Y,Z)
    | c_in(X,c_union(Y,U,Z),Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnCI_1) ).

cnf(cls_Set_OUnE_0,axiom,
    ( ~ c_in(X,c_union(Y,Z,U),U)
    | c_in(X,Z,U)
    | c_in(X,Y,U) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnE_0) ).

cnf(cls_Message_Oanalz_OInj_0,axiom,
    ( ~ c_in(X,Y,tc_Message_Omsg)
    | c_in(X,c_Message_Oanalz(Y),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV004-0.ax',cls_Message_Oanalz_OInj_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_X,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(1496,plain,
    ~ c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Set_OUnCI_0,cls_conjecture_1]) ).

cnf(1497,plain,
    ~ c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    inference('UR-RESOLVE',[status(thm)],[cls_Set_OUnCI_1,cls_conjecture_1]) ).

cnf(2008,plain,
    c_in(v_X,v_H,tc_Message_Omsg),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Set_OUnE_0,cls_conjecture_0]),1496]) ).

cnf(3002,plain,
    c_in(v_X,c_union(X,v_H,tc_Message_Omsg),tc_Message_Omsg),
    inference('HYPERRESOLVE',[status(thm)],[cls_Set_OUnCI_0,2008]) ).

cnf(89843,plain,
    c_in(v_X,c_Message_Oanalz(c_union(X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    inference('HYPERRESOLVE',[status(thm)],[cls_Message_Oanalz_OInj_0,3002]) ).

cnf(89844,plain,
    $false,
    inference('REWRITE',[status(thm)],[1497,89843]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : SWV244-1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.15  % Command  : run-snark %s %d
% 0.16/0.36  % Computer : n025.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 600
% 0.16/0.36  % DateTime : Wed Jun 15 03:42:40 EDT 2022
% 0.16/0.37  % CPUTime  : 
% 0.23/0.50  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.51  * 
% 0.23/0.51  * 
% 0.23/0.51  #<PACKAGE "SNARK-USER">
% 0.23/0.51  * 
% 0.23/0.51  SNARK-TPTP-OPTIONS
% 0.23/0.51  * 
% 0.23/0.51  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.23/0.51   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.23/0.51   (USE-FACTORING :POS)
% 0.23/0.51   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.23/0.51   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.23/0.51   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.23/0.51   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.23/0.51   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.23/0.51   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.23/0.51   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.23/0.51   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.23/0.51   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.23/0.51   (DECLARE-TPTP-SYMBOLS2))
% 0.23/0.51  * 
% 0.23/0.51  "."
% 0.23/0.51  * 
% 0.23/0.52  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T03:42:40
% 0.23/0.52  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-15T03:42:40
% 0.49/0.68  
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.70  WARNING:
% 0.54/0.70     |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 32.73/32.96  ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 32.73/32.96  
% 32.73/32.96  #||
% 32.87/33.02  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.87/33.02  % SZS output start Refutation
% See solution above
% 32.87/33.02  ||#
% 32.87/33.02  
% 32.87/33.02  ; Summary of computation:
% 32.87/33.02  ;    177539 formulas have been input or derived (from 1017 formulas).
% 32.87/33.02  ;     89844 (51%) were retained.  Of these,
% 32.87/33.02  ;          707 ( 1%) were simplified or subsumed later,
% 32.87/33.02  ;        89137 (99%) are still being kept.
% 32.87/33.02  ; 
% 32.87/33.02  ; Run time in seconds excluding printing time:
% 32.87/33.02  ;     0.149   0%   Read assertion file          (1 call)
% 32.87/33.02  ;     0.020   0%   Assert                       (1,402 calls)
% 32.87/33.02  ;     7.611  23%   Process new row              (172,183 calls)
% 32.87/33.02  ;    21.292  66%   Resolution                   (2,032 calls)
% 32.87/33.02  ;     0.028   0%   Paramodulation               (1,016 calls)
% 32.87/33.02  ;     0.000   0%   Factoring                    (8 calls)
% 32.87/33.02  ;     0.014   0%   Condensing                   (1,548 calls)
% 32.87/33.02  ;     0.082   0%   Forward subsumption          (1,548 calls)
% 32.87/33.02  ;     0.051   0%   Backward subsumption         (1,487 calls)
% 32.87/33.02  ;     0.002   0%   Clause clause subsumption    (1,229 calls)
% 32.87/33.02  ;     1.882   6%   Forward simplification       (171,234 calls)
% 32.87/33.02  ;     0.766   2%   Backward simplification      (89,844 calls)
% 32.87/33.02  ;     0.015   0%   Ordering                     (2,526 calls)
% 32.87/33.02  ;     0.000   0%   Sortal reasoning             (32 calls)
% 32.87/33.02  ;     0.007   0%   Purity testing               (1 call)
% 32.87/33.02  ;     0.525   2%   Other
% 32.87/33.02  ;    32.444        Total
% 32.87/33.02  ;    32.506        Real time
% 32.87/33.03  ; 
% 32.87/33.03  ; Term-hash-array has 185,396 terms in all.
% 32.87/33.03  ; Feature-vector-row-index has 1,456 entries (1,456 at peak, 1,487 added, 31 deleted).
% 32.87/33.03  ; Feature-vector-row-index has 6,153 nodes (6,153 at peak, 6,326 added, 173 deleted).
% 32.87/33.03  ;  Retrieved 1,673 possibly forward subsuming rows in 1,548 calls.
% 32.87/33.03  ;  Retrieved 907 possibly backward subsumed rows in 1,487 calls.
% 32.87/33.03  ; Path-index has 184,077 entries (184,080 at peak, 185,487 added, 1,410 deleted).
% 32.87/33.03  ; Path-index has 69,204 nodes (69,211 at peak, 69,663 added, 459 deleted).
% 32.87/33.03  ; Trie-index has 184,077 entries (184,080 at peak, 185,487 added, 1,410 deleted).
% 32.87/33.03  ; Trie-index has 519,428 nodes (519,447 at peak, 525,288 added, 5,860 deleted).
% 32.87/33.03  ; Retrieved 91,789 generalization terms in 201,528 calls.
% 32.87/33.03  ; Retrieved 89,187 instance terms in 88,358 calls.
% 32.87/33.03  ; Retrieved 40,429,749 unifiable terms in 41,420 calls.
% 32.87/33.03  ; 
% 32.87/33.03  ; The agenda of rows to process has 230 entries:
% 32.87/33.03  ;     4 with value 14             18 with value 20               1 with value 26
% 32.87/33.03  ;     5 with value 15              9 with value 21               3 with value 27
% 32.87/33.03  ;    25 with value 16             11 with value 22               1 with value 28
% 32.87/33.03  ;    34 with value 17             15 with value 23               1 with value 31
% 32.87/33.03  ;    23 with value 18              5 with value 24               1 with value 36
% 32.87/33.03  ;    68 with value 19              6 with value 25
% 32.87/33.03  ; The agenda of rows to give has 88130 entries:
% 32.87/33.03  ;   185 with value (4 11)         60 with value (4 39)          14 with value (4 66)
% 32.87/33.03  ;   808 with value (4 12)         36 with value (4 40)           9 with value (4 67)
% 32.87/33.03  ;   984 with value (4 13)         23 with value (4 41)           2 with value (4 68)
% 32.87/33.03  ;  3007 with value (4 14)         23 with value (4 42)           2 with value (4 70)
% 32.87/33.03  ;  4119 with value (4 15)         29 with value (4 43)           8 with value (4 71)
% 32.87/33.03  ; 13031 with value (4 16)         62 with value (4 44)          36 with value (4 72)
% 32.87/33.03  ; 23168 with value (4 17)         65 with value (4 45)          26 with value (4 73)
% 32.87/33.03  ; 24675 with value (4 18)         67 with value (4 46)          18 with value (4 74)
% 32.87/33.03  ;  9474 with value (4 19)         40 with value (4 47)           6 with value (4 75)
% 32.87/33.03  ;  1761 with value (4 20)         19 with value (4 48)           5 with value (4 77)
% 32.87/33.03  ;  1141 with value (4 21)         12 with value (4 49)           2 with value (4 78)
% 32.87/33.03  ;  1304 with value (4 22)         12 with value (4 50)           4 with value (4 79)
% 32.87/33.03  ;   604 with value (4 23)         18 with value (4 51)           4 with value (4 80)
% 32.87/33.03  ;   491 with value (4 24)         14 with value (4 52)           4 with value (4 81)
% 32.87/33.03  ;   351 with value (4 25)         30 with value (4 53)           5 with value (4 82)
% 32.87/33.03  ;   233 with value (4 26)         16 with value (4 54)           7 with value (4 83)
% 32.87/33.03  ;   160 with value (4 27)         13 with value (4 55)          19 with value (4 84)
% 32.87/33.03  ;   188 with value (4 28)         18 with value (4 56)           4 with value (4 85)
% 32.87/33.03  ;   183 with value (4 29)         13 with value (4 57)           4 with value (4 90)
% 32.87/33.03  ;   200 with value (4 30)         28 with value (4 58)          16 with value (4 91)
% 32.87/33.03  ;   180 with value (4 31)         16 with value (4 59)           6 with value (4 92)
% 32.87/33.03  ;   185 with value (4 32)          8 with value (4 60)           4 with value (4 93)
% 32.87/33.03  ;   172 with value (4 33)          9 with value (4 61)           4 with value (4 99)
% 32.87/33.03  ;   159 with value (4 34)         12 with value (4 62)           4 with value (4 100)
% 32.87/33.03  ;   126 with value (4 35)         29 with value (4 63)           1 with value (4 102)
% 32.87/33.03  ;    91 with value (4 36)         56 with value (4 64)           2 with value (4 109)
% 32.87/33.03  ;    90 with value (4 37)         29 with value (4 65)           1 with value (4 116)
% 32.87/33.03  ;    86 with value (4 38)
% 32.87/33.03  Evaluation took:
% 32.87/33.03    32.512 seconds of real time
% 32.87/33.03    30.97446 seconds of user run time
% 32.87/33.03    1.533671 seconds of system run time
% 32.87/33.03    [Run times include 6.106 seconds GC run time.]
% 32.87/33.03    0 calls to %EVAL
% 32.87/33.03    0 page faults and
% 32.87/33.03    1,235,186,616 bytes consed.
% 32.87/33.03  :PROOF-FOUND
% 32.87/33.03  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T03:43:13
% 32.87/33.03  :PROOF-FOUND
% 32.87/33.03  * 
%------------------------------------------------------------------------------