TSTP Solution File: SWV898-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV898-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n011.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 21:36:23 EDT 2022

% Result   : Unsatisfiable 17.82s 18.01s
% Output   : Refutation 17.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    9 (   8 unt;   0 nHn;   5 RR)
%            Number of literals    :   10 (   1 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-5 aty)
%            Number of variables   :   16 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_finite__dom__body_0,axiom,
    c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__dom__body_0) ).

cnf(cls_image__image_0,axiom,
    c_Set_Oimage(X,c_Set_Oimage(Y,Z,U,V),V,W) = c_Set_Oimage(c_COMBB(X,Y,V,W,U),Z,U,W),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__image_0) ).

cnf(cls_finite__imageI_0,axiom,
    ( c_Finite__Set_Ofinite(c_Set_Oimage(X,Y,Z,U),U)
    | ~ c_Finite__Set_Ofinite(Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__imageI_0) ).

cnf(cls_conjecture_3,negated_conjecture,
    ~ c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(566,plain,
    ~ c_Finite__Set_Ofinite(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
    inference('REWRITE',[status(thm)],[cls_conjecture_3,cls_image__image_0,theory(equality)]) ).

cnf(710,plain,
    c_Finite__Set_Ofinite(c_Set_Oimage(X,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,Y),Y),
    inference('HYPERRESOLVE',[status(thm)],[cls_finite__imageI_0,cls_finite__dom__body_0]) ).

cnf(1746,plain,
    ~ c_Finite__Set_Ofinite(c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom),
    inference('UR-RESOLVE',[status(thm)],[cls_finite__imageI_0,566]) ).

cnf(8451,plain,
    c_Finite__Set_Ofinite(c_Set_Oimage(X,c_Set_Oimage(Y,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,Z),Z,U),U),
    inference('HYPERRESOLVE',[status(thm)],[cls_finite__imageI_0,710]) ).

cnf(8452,plain,
    $false,
    inference('REWRITE',[status(thm)],[1746,8451]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV898-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n011.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jun 15 07:56:50 EDT 2022
% 0.12/0.34  % 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 2022-06-15T07:56:50
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-15T07:56:50
% 0.45/0.62  
% 0.45/0.62  WARNING:
% 0.45/0.62     |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.45/0.62  WARNING:
% 0.45/0.62     |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.45/0.62  WARNING:
% 0.45/0.62     |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.45/0.62  WARNING:
% 0.45/0.62     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 17.82/18.01  ; Recognized relation functionality assertion (OR (= ?X ?Y) (NOT (|c_Natural_Oevalc| ?Z ?U ?X)) (NOT (|c_Natural_Oevalc| ?Z ?U ?Y))).
% 17.82/18.01  
% 17.82/18.01  #||
% 17.82/18.01  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.82/18.01  % SZS output start Refutation
% See solution above
% 17.82/18.01  ||#
% 17.82/18.01  
% 17.82/18.01  ; Summary of computation:
% 17.82/18.01  ;     40470 formulas have been input or derived (from 729 formulas).
% 17.82/18.01  ;      8452 (21%) were retained.  Of these,
% 17.82/18.01  ;          992 (12%) were simplified or subsumed later,
% 17.82/18.01  ;         7460 (88%) are still being kept.
% 17.82/18.01  ; 
% 17.82/18.01  ; Run time in seconds:
% 17.82/18.01  ;     0.129   1%   Read assertion file          (1 call)
% 17.82/18.01  ;     0.011   0%   Assert                       (626 calls)
% 17.82/18.01  ;     1.339   8%   Process new row              (34,890 calls)
% 17.82/18.01  ;     2.145  12%   Resolution                   (1,456 calls)
% 17.82/18.01  ;     0.174   1%   Paramodulation               (728 calls)
% 17.82/18.01  ;     0.000   0%   Factoring                    (10 calls)
% 17.82/18.01  ;     0.134   1%   Condensing                   (10,097 calls)
% 17.82/18.01  ;     4.262  24%   Forward subsumption          (10,097 calls)
% 17.82/18.01  ;     0.303   2%   Backward subsumption         (3,798 calls)
% 17.82/18.01  ;     0.133   1%   Clause clause subsumption    (19,147 calls)
% 17.82/18.01  ;     3.432  20%   Forward simplification       (33,459 calls)
% 17.82/18.01  ;     0.256   1%   Backward simplification      (8,391 calls)
% 17.82/18.01  ;     5.031  29%   Ordering                     (258,314 calls)
% 17.82/18.01  ;     0.000   0%   Sortal reasoning             (32 calls)
% 17.82/18.01  ;     0.002   0%   Purity testing               (1 call)
% 17.82/18.01  ;     0.180   1%   Other
% 17.82/18.01  ;    17.531        Total
% 17.82/18.01  ;    17.536        Real time
% 17.82/18.01  ; 
% 17.82/18.01  ; Term-hash-array has 23,408 terms in all.
% 17.82/18.01  ; Feature-vector-row-index has 3,430 entries (3,430 at peak, 3,798 added, 368 deleted).
% 17.82/18.01  ; Feature-vector-row-index has 34,960 nodes (34,960 at peak, 38,607 added, 3,647 deleted).
% 17.82/18.01  ;  Retrieved 41,440 possibly forward subsuming rows in 10,097 calls.
% 17.82/18.01  ;  Retrieved 2,787 possibly backward subsumed rows in 3,798 calls.
% 17.82/18.01  ; Path-index has 21,598 entries (21,599 at peak, 23,858 added, 2,260 deleted).
% 17.82/18.01  ; Path-index has 67,998 nodes (68,004 at peak, 70,825 added, 2,827 deleted).
% 17.82/18.01  ; Trie-index has 21,598 entries (21,599 at peak, 23,858 added, 2,260 deleted).
% 17.82/18.01  ; Trie-index has 222,051 nodes (222,066 at peak, 244,304 added, 22,253 deleted).
% 17.82/18.01  ; Retrieved 380,447 generalization terms in 267,483 calls.
% 17.82/18.01  ; Retrieved 18,398 instance terms in 5,756 calls.
% 17.82/18.01  ; Retrieved 2,371,441 unifiable terms in 34,540 calls.
% 17.82/18.01  ; 
% 17.82/18.01  ; The agenda of rows to process has 1474 entries:
% 17.82/18.01  ;     4 with value 20             13 with value 54              32 with value 96
% 17.82/18.01  ;    14 with value 21              2 with value 55              32 with value 97
% 17.82/18.01  ;     9 with value 23              2 with value 56              32 with value 98
% 17.82/18.01  ;     1 with value 24             16 with value 57              52 with value 100
% 17.82/18.01  ;     1 with value 25              4 with value 58              16 with value 101
% 17.82/18.01  ;     6 with value 26              2 with value 60              32 with value 102
% 17.82/18.01  ;     2 with value 29              2 with value 61              16 with value 114
% 17.82/18.01  ;     4 with value 30              2 with value 62              96 with value 116
% 17.82/18.01  ;     6 with value 31              4 with value 63              16 with value 118
% 17.82/18.01  ;     1 with value 33             13 with value 64              16 with value 120
% 17.82/18.01  ;     6 with value 34              2 with value 66              16 with value 122
% 17.82/18.01  ;     1 with value 35             32 with value 69              16 with value 123
% 17.82/18.01  ;     8 with value 36              2 with value 73              16 with value 124
% 17.82/18.01  ;    10 with value 37              1 with value 74              96 with value 130
% 17.82/18.01  ;     6 with value 38             14 with value 75              16 with value 137
% 17.82/18.01  ;     1 with value 41             12 with value 78              48 with value 139
% 17.82/18.01  ;     6 with value 42             16 with value 79              16 with value 140
% 17.82/18.01  ;     2 with value 43             48 with value 80              48 with value 143
% 17.82/18.01  ;     6 with value 44             64 with value 81              16 with value 154
% 17.82/18.01  ;     2 with value 45             32 with value 84              48 with value 156
% 17.82/18.01  ;     2 with value 46             32 with value 86              96 with value 163
% 17.82/18.01  ;     2 with value 48              1 with value 87              16 with value 183
% 17.82/18.01  ;    12 with value 49             36 with value 89              64 with value 186
% 17.82/18.01  ;    12 with value 50             16 with value 90              48 with value 215
% 17.82/18.01  ;     2 with value 52             32 with value 93              48 with value 244
% 17.82/18.01  ; The agenda of rows to give has 6798 entries:
% 17.82/18.01  ;    78 with value (4 14)         64 with value (4 68)           6 with value (4 122)
% 17.82/18.01  ;   117 with value (4 15)         54 with value (4 69)           7 with value (4 123)
% 17.82/18.01  ;   112 with value (4 16)         86 with value (4 70)           5 with value (4 124)
% 17.82/18.01  ;   132 with value (4 17)        109 with value (4 71)           2 with value (4 125)
% 17.82/18.01  ;   213 with value (4 18)         47 with value (4 72)           1 with value (4 126)
% 17.82/18.01  ;   142 with value (4 19)         33 with value (4 73)           3 with value (4 127)
% 17.82/18.01  ;   155 with value (4 20)         42 with value (4 74)           1 with value (4 129)
% 17.82/18.01  ;   202 with value (4 21)         70 with value (4 75)           1 with value (4 130)
% 17.82/18.01  ;   121 with value (4 22)         74 with value (4 76)           2 with value (4 131)
% 17.82/18.01  ;   135 with value (4 23)         36 with value (4 77)           2 with value (4 132)
% 17.82/18.01  ;    78 with value (4 24)         56 with value (4 78)           1 with value (4 133)
% 17.82/18.01  ;    97 with value (4 25)         23 with value (4 79)           3 with value (4 134)
% 17.82/18.01  ;    89 with value (4 26)         47 with value (4 80)           3 with value (4 135)
% 17.82/18.01  ;   111 with value (4 27)         26 with value (4 81)          14 with value (4 136)
% 17.82/18.01  ;   140 with value (4 28)         39 with value (4 82)           2 with value (4 139)
% 17.82/18.01  ;   178 with value (4 29)         19 with value (4 83)           2 with value (4 140)
% 17.82/18.01  ;   142 with value (4 30)         20 with value (4 84)           4 with value (4 141)
% 17.82/18.01  ;   108 with value (4 31)         72 with value (4 85)           1 with value (4 143)
% 17.82/18.01  ;    88 with value (4 32)         25 with value (4 86)           4 with value (4 144)
% 17.82/18.01  ;    54 with value (4 33)          7 with value (4 87)           1 with value (4 149)
% 17.82/18.01  ;    79 with value (4 34)         32 with value (4 88)           5 with value (4 150)
% 17.82/18.01  ;    85 with value (4 35)         13 with value (4 89)           4 with value (4 151)
% 17.82/18.01  ;    89 with value (4 36)         12 with value (4 90)           3 with value (4 152)
% 17.82/18.01  ;   101 with value (4 37)         14 with value (4 91)           2 with value (4 153)
% 17.82/18.01  ;    89 with value (4 38)         40 with value (4 92)           8 with value (4 156)
% 17.82/18.01  ;    72 with value (4 39)          7 with value (4 93)           1 with value (4 157)
% 17.82/18.01  ;    66 with value (4 40)         16 with value (4 94)           2 with value (4 159)
% 17.82/18.01  ;    74 with value (4 41)         15 with value (4 95)           1 with value (4 160)
% 17.82/18.01  ;    88 with value (4 42)          6 with value (4 96)           2 with value (4 161)
% 17.82/18.01  ;    77 with value (4 43)         11 with value (4 97)           1 with value (4 165)
% 17.82/18.01  ;    92 with value (4 44)         10 with value (4 98)           1 with value (4 166)
% 17.82/18.01  ;    88 with value (4 45)          5 with value (4 99)           1 with value (4 167)
% 17.82/18.01  ;    90 with value (4 46)          2 with value (4 100)          5 with value (4 168)
% 17.82/18.01  ;    81 with value (4 47)          7 with value (4 101)          1 with value (4 169)
% 17.82/18.01  ;   138 with value (4 48)         15 with value (4 102)          4 with value (4 170)
% 17.82/18.01  ;    83 with value (4 49)         16 with value (4 103)          1 with value (4 177)
% 17.82/18.01  ;   108 with value (4 50)          8 with value (4 104)          1 with value (4 178)
% 17.82/18.01  ;    94 with value (4 51)          6 with value (4 105)          1 with value (4 183)
% 17.82/18.01  ;   109 with value (4 52)          8 with value (4 106)          8 with value (4 190)
% 17.82/18.01  ;    69 with value (4 53)          3 with value (4 107)          2 with value (4 193)
% 17.82/18.01  ;    68 with value (4 54)          2 with value (4 108)          8 with value (4 196)
% 17.82/18.01  ;    86 with value (4 55)          5 with value (4 109)          4 with value (4 200)
% 17.82/18.01  ;    77 with value (4 56)          5 with value (4 110)          4 with value (4 220)
% 17.82/18.01  ;    80 with value (4 57)         28 with value (4 111)         16 with value (4 221)
% 17.82/18.01  ;    95 with value (4 58)          2 with value (4 112)          4 with value (4 222)
% 17.82/18.01  ;    63 with value (4 59)          9 with value (4 113)          4 with value (4 234)
% 17.82/18.01  ;    61 with value (4 60)          1 with value (4 114)          4 with value (4 235)
% 17.82/18.01  ;    81 with value (4 61)          3 with value (4 115)          8 with value (4 252)
% 17.82/18.01  ;    74 with value (4 62)          5 with value (4 116)          4 with value (4 260)
% 17.82/18.01  ;    51 with value (4 63)          9 with value (4 117)          8 with value (4 267)
% 17.82/18.01  ;    47 with value (4 64)          5 with value (4 118)          4 with value (4 275)
% 17.82/18.01  ;    87 with value (4 65)          1 with value (4 119)          8 with value (4 297)
% 17.82/18.01  ;    70 with value (4 66)          2 with value (4 120)          4 with value (4 325)
% 17.82/18.01  ;    99 with value (4 67)         16 with value (4 121)          8 with value (4 372)
% 17.82/18.01  Evaluation took:
% 17.82/18.01    17.542 seconds of real time
% 17.82/18.01    16.704126 seconds of user run time
% 17.82/18.01    0.833202 seconds of system run time
% 17.82/18.01    [Run times include 2.825 seconds GC run time.]
% 17.82/18.01    0 calls to %EVAL
% 17.82/18.01    0 page faults and
% 17.82/18.01    1,251,740,784 bytes consed.
% 17.82/18.01  :PROOF-FOUND
% 17.82/18.01  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T07:57:08
% 17.82/18.01  :PROOF-FOUND
% 17.82/18.01  * 
%------------------------------------------------------------------------------