TSTP Solution File: SWV880-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV880-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n028.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 21:36:20 EDT 2022

% Result   : Unsatisfiable 9.72s 9.95s
% Output   : Refutation 9.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   16 (  12 unt;   0 nHn;  11 RR)
%            Number of literals    :   21 (   1 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-4 aty)
%            Number of variables   :   22 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_insert__subset_2,axiom,
    ( c_lessequals(c_Set_Oinsert(X,Y,Z),U,tc_fun(Z,tc_bool))
    | ~ c_lessequals(Y,U,tc_fun(Z,tc_bool))
    | ~ c_in(X,U,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_2) ).

cnf(cls_empty__subsetI_0,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X,tc_bool)),Y,tc_fun(X,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).

cnf(cls_mem__def_1,axiom,
    ( c_in(X,Y,Z)
    | ~ hBOOL(hAPP(Y,X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).

cnf(cls_mem__def_0,axiom,
    ( hBOOL(hAPP(X,Y))
    | ~ c_in(Y,X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).

cnf(cls_rev__image__eqI_0,axiom,
    ( ~ c_in(X,Y,Z)
    | c_in(hAPP(U,X),c_Set_Oimage(U,Y,Z,V),V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__image__eqI_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    v_G = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_in(v_pn,v_U,tc_Com_Opname),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_3,negated_conjecture,
    ~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(382,plain,
    ~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool)),
    inference('REWRITE',[status(thm)],[cls_conjecture_3,cls_conjecture_1,theory(equality)]) ).

cnf(443,plain,
    hBOOL(hAPP(v_U,v_pn)),
    inference('HYPERRESOLVE',[status(thm)],[cls_mem__def_0,cls_conjecture_2]) ).

cnf(837,plain,
    ~ c_in(hAPP(v_mgt__call,v_pn),v_G,t_a),
    inference('UR-RESOLVE',[status(thm)],[cls_insert__subset_2,382,cls_empty__subsetI_0]) ).

cnf(3058,plain,
    c_in(v_pn,v_U,X),
    inference('HYPERRESOLVE',[status(thm)],[cls_mem__def_1,443]) ).

cnf(3069,plain,
    c_in(hAPP(X,v_pn),c_Set_Oimage(X,v_U,Y,Z),Z),
    inference('HYPERRESOLVE',[status(thm)],[cls_rev__image__eqI_0,3058]) ).

cnf(3178,plain,
    ~ hBOOL(hAPP(v_G,hAPP(v_mgt__call,v_pn))),
    inference('UR-RESOLVE',[status(thm)],[cls_mem__def_1,837]) ).

cnf(4275,plain,
    ~ c_in(hAPP(v_mgt__call,v_pn),v_G,X),
    inference('UR-RESOLVE',[status(thm)],[cls_mem__def_0,3178]) ).

cnf(6872,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3069,cls_conjecture_1,theory(equality)]),4275]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV880-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n028.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Thu Jun 16 05:52:11 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.18/0.43  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44  * 
% 0.18/0.44  * 
% 0.18/0.45  #<PACKAGE "SNARK-USER">
% 0.18/0.45  * 
% 0.18/0.45  SNARK-TPTP-OPTIONS
% 0.18/0.45  * 
% 0.18/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45   (USE-FACTORING :POS)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45  * 
% 0.18/0.45  "."
% 0.18/0.45  * 
% 0.18/0.45  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T05:52:11
% 0.18/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-16T05:52:11
% 0.37/0.60  WARNING:
% 0.37/0.60     |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.37/0.60  WARNING:
% 0.37/0.60     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.37/0.60  WARNING:
% 0.37/0.60     |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.37/0.60  WARNING:
% 0.37/0.60     |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 9.72/9.95  
% 9.72/9.95  
% 9.72/9.95  #||
% 9.72/9.95  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.72/9.95  % SZS output start Refutation
% See solution above
% 9.72/9.95  ||#
% 9.72/9.95  
% 9.72/9.95  ; Summary of computation:
% 9.72/9.95  ;     20177 formulas have been input or derived (from 557 formulas).
% 9.72/9.95  ;      6872 (34%) were retained.  Of these,
% 9.72/9.95  ;          723 (11%) were simplified or subsumed later,
% 9.72/9.95  ;         6149 (89%) are still being kept.
% 9.72/9.95  ; 
% 9.72/9.95  ; Run time in seconds excluding printing time:
% 9.72/9.95  ;     0.123   1%   Read assertion file          (1 call)
% 9.72/9.95  ;     0.009   0%   Assert                       (507 calls)
% 9.72/9.95  ;     1.348  14%   Process new row              (18,066 calls)
% 9.72/9.95  ;     0.877   9%   Resolution                   (1,112 calls)
% 9.72/9.95  ;     0.063   1%   Paramodulation               (556 calls)
% 9.72/9.95  ;     0.000   0%   Factoring                    (19 calls)
% 9.72/9.95  ;     0.131   1%   Condensing                   (6,270 calls)
% 9.72/9.95  ;     2.268  24%   Forward subsumption          (6,270 calls)
% 9.72/9.95  ;     0.365   4%   Backward subsumption         (4,620 calls)
% 9.72/9.95  ;     0.113   1%   Clause clause subsumption    (19,046 calls)
% 9.72/9.95  ;     1.408  15%   Forward simplification       (17,910 calls)
% 9.72/9.95  ;     0.205   2%   Backward simplification      (6,868 calls)
% 9.72/9.95  ;     2.487  26%   Ordering                     (133,734 calls)
% 9.72/9.95  ;     0.000   0%   Sortal reasoning             (32 calls)
% 9.72/9.95  ;     0.001   0%   Purity testing               (1 call)
% 9.72/9.95  ;     0.098   1%   Other
% 9.72/9.95  ;     9.496        Total
% 9.72/9.95  ;     9.498        Real time
% 9.72/9.95  ; 
% 9.78/9.96  ; Term-hash-array has 19,690 terms in all.
% 9.78/9.96  ; Feature-vector-row-index has 4,279 entries (4,279 at peak, 4,620 added, 341 deleted).
% 9.78/9.96  ; Feature-vector-row-index has 56,963 nodes (56,963 at peak, 61,517 added, 4,554 deleted).
% 9.78/9.96  ;  Retrieved 28,824 possibly forward subsuming rows in 6,270 calls.
% 9.78/9.96  ;  Retrieved 3,201 possibly backward subsumed rows in 4,620 calls.
% 9.78/9.96  ; Path-index has 18,073 entries (18,073 at peak, 20,012 added, 1,939 deleted).
% 9.78/9.96  ; Path-index has 47,334 nodes (47,334 at peak, 49,435 added, 2,101 deleted).
% 9.78/9.96  ; Trie-index has 18,073 entries (18,073 at peak, 20,012 added, 1,939 deleted).
% 9.78/9.96  ; Trie-index has 167,992 nodes (167,992 at peak, 181,983 added, 13,991 deleted).
% 9.78/9.96  ; Retrieved 150,355 generalization terms in 133,048 calls.
% 9.78/9.96  ; Retrieved 13,123 instance terms in 2,581 calls.
% 9.78/9.96  ; Retrieved 1,210,877 unifiable terms in 24,216 calls.
% 9.78/9.96  ; 
% 9.78/9.96  ; The agenda of rows to process has 236 entries:
% 9.78/9.96  ;     1 with value 13             11 with value 29               4 with value 45
% 9.78/9.96  ;     8 with value 16              8 with value 30               1 with value 46
% 9.78/9.96  ;     3 with value 17             12 with value 31               7 with value 48
% 9.78/9.96  ;     2 with value 18              7 with value 32               8 with value 49
% 9.78/9.96  ;    14 with value 19              2 with value 34               6 with value 50
% 9.78/9.96  ;    13 with value 20              5 with value 35               5 with value 51
% 9.78/9.96  ;     1 with value 21             21 with value 36               2 with value 52
% 9.78/9.96  ;     8 with value 22              4 with value 37               6 with value 53
% 9.78/9.96  ;    10 with value 23              4 with value 38               2 with value 54
% 9.78/9.96  ;     3 with value 24              2 with value 39               2 with value 56
% 9.78/9.96  ;     2 with value 25              1 with value 40               2 with value 58
% 9.78/9.96  ;    17 with value 26              5 with value 42               1 with value 59
% 9.78/9.96  ;     8 with value 27              1 with value 43               2 with value 60
% 9.78/9.96  ;    11 with value 28              2 with value 44               2 with value 64
% 9.78/9.96  ; The agenda of rows to give has 5618 entries:
% 9.78/9.96  ;    52 with value (4 15)         28 with value (4 79)           6 with value (4 143)
% 9.78/9.96  ;    60 with value (4 16)         22 with value (4 80)           4 with value (4 144)
% 9.78/9.96  ;    45 with value (4 17)         35 with value (4 81)           3 with value (4 145)
% 9.78/9.96  ;    56 with value (4 18)         25 with value (4 82)           1 with value (4 146)
% 9.78/9.96  ;    92 with value (4 19)         22 with value (4 83)           4 with value (4 147)
% 9.78/9.96  ;    78 with value (4 20)         26 with value (4 84)           6 with value (4 148)
% 9.78/9.96  ;   130 with value (4 21)         30 with value (4 85)           4 with value (4 149)
% 9.78/9.96  ;   104 with value (4 22)         36 with value (4 86)           4 with value (4 150)
% 9.78/9.96  ;   103 with value (4 23)         21 with value (4 87)           4 with value (4 151)
% 9.78/9.96  ;   106 with value (4 24)         15 with value (4 88)          12 with value (4 152)
% 9.78/9.96  ;    92 with value (4 25)         16 with value (4 89)           2 with value (4 153)
% 9.78/9.96  ;    86 with value (4 26)         33 with value (4 90)           8 with value (4 155)
% 9.78/9.96  ;    72 with value (4 27)         25 with value (4 91)          13 with value (4 156)
% 9.78/9.96  ;   102 with value (4 28)         26 with value (4 92)           2 with value (4 157)
% 9.78/9.96  ;    71 with value (4 29)         16 with value (4 93)           8 with value (4 159)
% 9.78/9.96  ;    69 with value (4 30)         18 with value (4 94)           4 with value (4 160)
% 9.78/9.96  ;    62 with value (4 31)         22 with value (4 95)           4 with value (4 161)
% 9.78/9.96  ;    69 with value (4 32)         16 with value (4 96)           1 with value (4 164)
% 9.78/9.96  ;    75 with value (4 33)         23 with value (4 97)           7 with value (4 165)
% 9.78/9.96  ;    70 with value (4 34)         22 with value (4 98)           1 with value (4 166)
% 9.78/9.96  ;    83 with value (4 35)         28 with value (4 99)           9 with value (4 168)
% 9.78/9.96  ;    80 with value (4 36)         41 with value (4 100)          8 with value (4 169)
% 9.78/9.96  ;    58 with value (4 37)         35 with value (4 101)          4 with value (4 170)
% 9.78/9.96  ;    74 with value (4 38)         19 with value (4 102)         10 with value (4 172)
% 9.78/9.96  ;    56 with value (4 39)         18 with value (4 103)          6 with value (4 173)
% 9.78/9.96  ;    73 with value (4 40)         19 with value (4 104)          6 with value (4 174)
% 9.78/9.96  ;    69 with value (4 41)         25 with value (4 105)          1 with value (4 179)
% 9.78/9.96  ;    64 with value (4 42)         18 with value (4 106)          2 with value (4 180)
% 9.78/9.96  ;    77 with value (4 43)         20 with value (4 107)          5 with value (4 181)
% 9.78/9.96  ;    79 with value (4 44)         18 with value (4 108)          6 with value (4 182)
% 9.78/9.96  ;    75 with value (4 45)         19 with value (4 109)          2 with value (4 183)
% 9.78/9.96  ;    86 with value (4 46)         16 with value (4 110)         10 with value (4 184)
% 9.78/9.96  ;    64 with value (4 47)         15 with value (4 111)          4 with value (4 185)
% 9.78/9.96  ;    74 with value (4 48)          9 with value (4 112)          4 with value (4 186)
% 9.78/9.96  ;    83 with value (4 49)         12 with value (4 113)          4 with value (4 191)
% 9.78/9.96  ;   112 with value (4 50)         26 with value (4 114)          4 with value (4 192)
% 9.78/9.96  ;    69 with value (4 51)         12 with value (4 115)          1 with value (4 193)
% 9.78/9.96  ;    54 with value (4 52)          9 with value (4 116)          1 with value (4 194)
% 9.78/9.96  ;    76 with value (4 53)         15 with value (4 117)          3 with value (4 196)
% 9.78/9.96  ;    68 with value (4 54)          7 with value (4 118)          4 with value (4 198)
% 9.78/9.96  ;    98 with value (4 55)         14 with value (4 119)          4 with value (4 200)
% 9.78/9.96  ;    57 with value (4 56)          7 with value (4 120)          5 with value (4 201)
% 9.78/9.96  ;    72 with value (4 57)          6 with value (4 121)          1 with value (4 206)
% 9.78/9.96  ;    78 with value (4 58)         14 with value (4 122)          8 with value (4 208)
% 9.78/9.96  ;    66 with value (4 59)         15 with value (4 123)          2 with value (4 209)
% 9.78/9.96  ;    59 with value (4 60)         19 with value (4 124)          2 with value (4 210)
% 9.78/9.96  ;    73 with value (4 61)         11 with value (4 125)          6 with value (4 213)
% 9.78/9.96  ;    49 with value (4 62)         12 with value (4 126)          4 with value (4 214)
% 9.78/9.96  ;    49 with value (4 63)         10 with value (4 127)          1 with value (4 217)
% 9.78/9.96  ;    51 with value (4 64)          7 with value (4 128)          1 with value (4 222)
% 9.78/9.96  ;    31 with value (4 65)         11 with value (4 129)          2 with value (4 223)
% 9.78/9.96  ;    52 with value (4 66)          7 with value (4 130)          2 with value (4 226)
% 9.78/9.96  ;    55 with value (4 67)         12 with value (4 131)          6 with value (4 227)
% 9.78/9.96  ;    35 with value (4 68)          4 with value (4 132)          2 with value (4 230)
% 9.78/9.96  ;    43 with value (4 69)          9 with value (4 133)          1 with value (4 237)
% 9.78/9.96  ;    55 with value (4 70)         10 with value (4 134)          2 with value (4 240)
% 9.78/9.96  ;    35 with value (4 71)          3 with value (4 135)          2 with value (4 243)
% 9.78/9.96  ;    44 with value (4 72)         11 with value (4 136)          2 with value (4 244)
% 9.78/9.96  ;    36 with value (4 73)          5 with value (4 137)          2 with value (4 252)
% 9.78/9.96  ;    20 with value (4 74)         21 with value (4 138)          2 with value (4 257)
% 9.78/9.96  ;    43 with value (4 75)          6 with value (4 139)          2 with value (4 268)
% 9.78/9.96  ;    44 with value (4 76)          7 with value (4 140)          2 with value (4 280)
% 9.78/9.96  ;    22 with value (4 77)          1 with value (4 141)          2 with value (4 296)
% 9.78/9.96  ;    26 with value (4 78)         22 with value (4 142)
% 9.78/9.96  Evaluation took:
% 9.78/9.96    9.504 seconds of real time
% 9.78/9.96    8.938815 seconds of user run time
% 9.78/9.96    0.564889 seconds of system run time
% 9.78/9.96    [Run times include 1.518 seconds GC run time.]
% 9.78/9.96    0 calls to %EVAL
% 9.78/9.96    0 page faults and
% 9.78/9.96    677,941,768 bytes consed.
% 9.78/9.96  :PROOF-FOUND
% 9.78/9.96  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T05:52:20
% 9.78/9.96  :PROOF-FOUND
% 9.78/9.96  * 
%------------------------------------------------------------------------------