TSTP Solution File: SCT002-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SCT002-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n019.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 : Mon Jul 18 22:10:15 EDT 2022

% Result   : Unsatisfiable 7.59s 7.79s
% Output   : Refutation 7.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    8 (   6 unt;   0 nHn;   8 RR)
%            Number of literals    :   11 (   2 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-4 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_trancl__id_0,axiom,
    ( c_Transitive__Closure_Otrancl(X,Y) = X
    | ~ c_Relation_Otrans(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trancl__id_0) ).

cnf(cls_r__r__into__trancl_0,axiom,
    ( hBOOL(c_in(c_Pair(X,Y,Z,Z),c_Transitive__Closure_Otrancl(U,Z),tc_prod(Z,Z)))
    | ~ hBOOL(c_in(c_Pair(V,Y,Z,Z),U,tc_prod(Z,Z)))
    | ~ hBOOL(c_in(c_Pair(X,V,Z,Z),U,tc_prod(Z,Z))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_r__r__into__trancl_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ hBOOL(c_in(c_Pair(X,X,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_3,negated_conjecture,
    hBOOL(c_in(c_Pair(v_y,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_conjecture_4,negated_conjecture,
    hBOOL(c_in(c_Pair(v_x,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(660,plain,
    c_Transitive__Closure_Otrancl(v_L,tc_Arrow__Order__Mirabelle_Oalt) = v_L,
    inference('HYPERRESOLVE',[status(thm)],[cls_trancl__id_0,cls_conjecture_1]) ).

cnf(6628,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_r__r__into__trancl_0,cls_conjecture_3,cls_conjecture_4]),cls_conjecture_2,660,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SCT002-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n019.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 : Sat Jul  2 07:11:53 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 2022-07-02T07:11:54
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-02T07:11:54
% 0.49/0.68  WARNING:
% 0.49/0.68     |c_Equiv__Relations_Ocongruent2| is a 6-ary relation that occurs only negatively; disabling rows that contain it.
% 0.49/0.68  WARNING:
% 0.49/0.68     |class_Orderings_Olinorder| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.49/0.68  WARNING:
% 0.49/0.68     |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.49/0.68  WARNING:
% 0.49/0.68     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.49/0.68  WARNING:
% 0.49/0.68     |c_Wellfounded_OwfP| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.49/0.68  WARNING:
% 0.49/0.68     |c_Equiv__Relations_Ocongruent| is a 4-ary relation that occurs only negatively; disabling rows that contain it.
% 7.59/7.79  
% 7.59/7.79  
% 7.59/7.79  #||
% 7.59/7.79  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.59/7.79  % SZS output start Refutation
% See solution above
% 7.59/7.79  ||#
% 7.59/7.79  
% 7.59/7.79  ; Summary of computation:
% 7.59/7.79  ;     14017 formulas have been input or derived (from 548 formulas).
% 7.59/7.79  ;      6628 (47%) were retained.  Of these,
% 7.59/7.79  ;         1693 (26%) were simplified or subsumed later,
% 7.59/7.79  ;         4935 (74%) are still being kept.
% 7.59/7.79  ; 
% 7.59/7.79  ; Run time in seconds:
% 7.59/7.79  ;     0.180   2%   Read assertion file          (1 call)
% 7.59/7.79  ;     0.014   0%   Assert                       (677 calls)
% 7.59/7.79  ;     1.338  18%   Process new row              (13,154 calls)
% 7.59/7.79  ;     0.398   5%   Resolution                   (1,094 calls)
% 7.59/7.79  ;     0.087   1%   Paramodulation               (547 calls)
% 7.59/7.79  ;     0.000   0%   Factoring                    (16 calls)
% 7.59/7.79  ;     0.099   1%   Condensing                   (4,732 calls)
% 7.59/7.79  ;     1.287  18%   Forward subsumption          (4,732 calls)
% 7.59/7.79  ;     0.305   4%   Backward subsumption         (3,532 calls)
% 7.59/7.79  ;     0.072   1%   Clause clause subsumption    (11,681 calls)
% 7.59/7.79  ;     1.163  16%   Forward simplification       (12,956 calls)
% 7.59/7.79  ;     0.575   8%   Backward simplification      (6,607 calls)
% 7.59/7.79  ;     1.725  24%   Ordering                     (100,971 calls)
% 7.59/7.79  ;     0.001   0%   Sortal reasoning             (32 calls)
% 7.59/7.79  ;     0.002   0%   Purity testing               (1 call)
% 7.59/7.79  ;     0.076   1%   Other
% 7.59/7.79  ;     7.322        Total
% 7.59/7.79  ;     7.326        Real time
% 7.59/7.79  ; 
% 7.59/7.80  ; Term-hash-array has 22,184 terms in all.
% 7.59/7.80  ; Feature-vector-row-index has 2,775 entries (2,783 at peak, 3,532 added, 757 deleted).
% 7.59/7.80  ; Feature-vector-row-index has 31,876 nodes (31,952 at peak, 38,189 added, 6,313 deleted).
% 7.59/7.80  ;  Retrieved 18,030 possibly forward subsuming rows in 4,732 calls.
% 7.59/7.80  ;  Retrieved 2,965 possibly backward subsumed rows in 3,532 calls.
% 7.59/7.80  ; Path-index has 18,021 entries (18,021 at peak, 23,405 added, 5,384 deleted).
% 7.59/7.80  ; Path-index has 111,393 nodes (111,393 at peak, 125,310 added, 13,917 deleted).
% 7.59/7.80  ; Trie-index has 18,021 entries (18,021 at peak, 23,405 added, 5,384 deleted).
% 7.59/7.80  ; Trie-index has 198,873 nodes (198,873 at peak, 276,292 added, 77,419 deleted).
% 7.59/7.80  ; Retrieved 177,237 generalization terms in 112,595 calls.
% 7.59/7.80  ; Retrieved 16,579 instance terms in 3,907 calls.
% 7.59/7.80  ; Retrieved 557,852 unifiable terms in 7,239 calls.
% 7.59/7.80  ; 
% 7.59/7.80  ; The agenda of rows to process has 144 entries:
% 7.59/7.80  ;     3 with value 17              2 with value 64               6 with value 88
% 7.59/7.80  ;     1 with value 19              2 with value 68               4 with value 89
% 7.59/7.80  ;     1 with value 20              6 with value 70               1 with value 92
% 7.59/7.80  ;     4 with value 31              4 with value 71               1 with value 93
% 7.59/7.80  ;     8 with value 35              2 with value 72               1 with value 95
% 7.59/7.80  ;     4 with value 36              2 with value 73               1 with value 97
% 7.59/7.80  ;     6 with value 39              7 with value 74               1 with value 99
% 7.59/7.80  ;     2 with value 45              2 with value 75               2 with value 101
% 7.59/7.80  ;     4 with value 48              4 with value 76               1 with value 107
% 7.59/7.80  ;     6 with value 49              2 with value 77               2 with value 109
% 7.59/7.80  ;     8 with value 53              3 with value 78               2 with value 110
% 7.59/7.80  ;     4 with value 56              4 with value 80               2 with value 115
% 7.59/7.80  ;     2 with value 57              1 with value 83               2 with value 116
% 7.59/7.80  ;     2 with value 59              4 with value 84               1 with value 123
% 7.59/7.80  ;     4 with value 60              2 with value 85               2 with value 124
% 7.59/7.80  ;     4 with value 62              2 with value 86               1 with value 125
% 7.59/7.80  ;     2 with value 63
% 7.59/7.80  ; The agenda of input rows to give has 66 entries:
% 7.59/7.80  ;     1 with value 44              1 with value 53               1 with value 64
% 7.59/7.80  ;     2 with value 45              1 with value 54               1 with value 68
% 7.59/7.80  ;    11 with value 46              2 with value 56               1 with value 69
% 7.59/7.80  ;     4 with value 47              1 with value 57               1 with value 70
% 7.59/7.80  ;    12 with value 48              1 with value 60               2 with value 72
% 7.59/7.80  ;     7 with value 49              1 with value 61               1 with value 77
% 7.59/7.80  ;     5 with value 50              1 with value 62               1 with value 151
% 7.59/7.80  ;     6 with value 51              2 with value 63
% 7.59/7.80  ; The agenda of rows to give has 4374 entries:
% 7.59/7.80  ;     4 with value (4 5)          63 with value (4 58)           6 with value (4 110)
% 7.59/7.80  ;     4 with value (4 6)          55 with value (4 59)           8 with value (4 111)
% 7.59/7.80  ;    13 with value (4 7)          63 with value (4 60)           9 with value (4 112)
% 7.59/7.80  ;     6 with value (4 8)          61 with value (4 61)          13 with value (4 113)
% 7.59/7.80  ;     3 with value (4 9)          55 with value (4 62)           4 with value (4 114)
% 7.59/7.80  ;     5 with value (4 10)         42 with value (4 63)           4 with value (4 115)
% 7.59/7.80  ;     9 with value (4 11)         38 with value (4 64)          11 with value (4 116)
% 7.59/7.80  ;    14 with value (4 12)         70 with value (4 65)          12 with value (4 117)
% 7.59/7.80  ;    18 with value (4 13)         50 with value (4 66)          10 with value (4 118)
% 7.59/7.80  ;    18 with value (4 14)         37 with value (4 67)           5 with value (4 119)
% 7.59/7.80  ;     8 with value (4 15)         22 with value (4 68)          11 with value (4 120)
% 7.59/7.80  ;    20 with value (4 16)         39 with value (4 69)          10 with value (4 121)
% 7.59/7.80  ;    16 with value (4 17)         48 with value (4 70)           2 with value (4 122)
% 7.59/7.80  ;    37 with value (4 18)         67 with value (4 71)           2 with value (4 123)
% 7.59/7.80  ;    21 with value (4 19)         66 with value (4 72)           1 with value (4 124)
% 7.59/7.80  ;    18 with value (4 20)         39 with value (4 73)           7 with value (4 125)
% 7.59/7.80  ;    39 with value (4 21)         27 with value (4 74)           4 with value (4 126)
% 7.59/7.80  ;    28 with value (4 22)         40 with value (4 75)           8 with value (4 127)
% 7.59/7.80  ;    44 with value (4 23)         34 with value (4 76)           5 with value (4 128)
% 7.59/7.80  ;    36 with value (4 24)         37 with value (4 77)           5 with value (4 129)
% 7.59/7.80  ;    39 with value (4 25)         40 with value (4 78)           5 with value (4 130)
% 7.59/7.80  ;    48 with value (4 26)         24 with value (4 79)           2 with value (4 131)
% 7.59/7.80  ;    45 with value (4 27)         27 with value (4 80)           9 with value (4 132)
% 7.59/7.80  ;    43 with value (4 28)         20 with value (4 81)           4 with value (4 133)
% 7.59/7.80  ;    76 with value (4 29)         30 with value (4 82)           3 with value (4 134)
% 7.59/7.80  ;    29 with value (4 30)         22 with value (4 83)           2 with value (4 136)
% 7.59/7.80  ;    72 with value (4 31)         35 with value (4 84)           2 with value (4 138)
% 7.59/7.80  ;    74 with value (4 32)         24 with value (4 85)           4 with value (4 139)
% 7.59/7.80  ;    51 with value (4 33)         37 with value (4 86)           5 with value (4 140)
% 7.59/7.80  ;    65 with value (4 34)         34 with value (4 87)           5 with value (4 141)
% 7.59/7.80  ;    94 with value (4 35)         27 with value (4 88)           7 with value (4 142)
% 7.59/7.80  ;    59 with value (4 36)          9 with value (4 89)           6 with value (4 143)
% 7.59/7.80  ;    74 with value (4 37)         20 with value (4 90)           1 with value (4 144)
% 7.59/7.80  ;    57 with value (4 38)         27 with value (4 91)           2 with value (4 145)
% 7.59/7.80  ;   100 with value (4 39)         19 with value (4 92)           1 with value (4 146)
% 7.59/7.80  ;    52 with value (4 40)          7 with value (4 93)           6 with value (4 147)
% 7.59/7.80  ;    50 with value (4 41)         24 with value (4 94)           2 with value (4 149)
% 7.59/7.80  ;    80 with value (4 42)         19 with value (4 95)           2 with value (4 150)
% 7.59/7.80  ;    77 with value (4 43)         21 with value (4 96)           2 with value (4 151)
% 7.59/7.80  ;   113 with value (4 44)         18 with value (4 97)           2 with value (4 152)
% 7.59/7.80  ;    81 with value (4 45)         19 with value (4 98)           2 with value (4 154)
% 7.59/7.80  ;    88 with value (4 46)         13 with value (4 99)           2 with value (4 156)
% 7.59/7.80  ;    73 with value (4 47)         15 with value (4 100)          4 with value (4 159)
% 7.59/7.80  ;    63 with value (4 48)         19 with value (4 101)          2 with value (4 161)
% 7.59/7.80  ;    95 with value (4 49)         10 with value (4 102)          1 with value (4 162)
% 7.59/7.80  ;    65 with value (4 50)         18 with value (4 103)          1 with value (4 164)
% 7.59/7.80  ;    64 with value (4 51)         16 with value (4 104)          4 with value (4 166)
% 7.59/7.80  ;    46 with value (4 52)          7 with value (4 105)          4 with value (4 168)
% 7.59/7.80  ;    55 with value (4 53)         13 with value (4 106)          3 with value (4 170)
% 7.59/7.80  ;    78 with value (4 54)         12 with value (4 107)          1 with value (4 175)
% 7.59/7.80  ;    72 with value (4 55)         13 with value (4 108)          1 with value (4 176)
% 7.59/7.80  ;    34 with value (4 56)          6 with value (4 109)          1 with value (4 250)
% 7.59/7.80  ;    68 with value (4 57)
% 7.59/7.80  Evaluation took:
% 7.59/7.80    7.329 seconds of real time
% 7.59/7.80    6.805686 seconds of user run time
% 7.59/7.80    0.519967 seconds of system run time
% 7.59/7.80    [Run times include 1.716 seconds GC run time.]
% 7.59/7.80    0 calls to %EVAL
% 7.59/7.80    0 page faults and
% 7.59/7.80    505,750,784 bytes consed.
% 7.59/7.80  :PROOF-FOUND
% 7.59/7.80  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T07:12:01
% 7.59/7.80  :PROOF-FOUND
% 7.59/7.80  * 
%------------------------------------------------------------------------------