TSTP Solution File: SCT024-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SCT024-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n014.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 22:10:22 EDT 2022

% Result   : Unsatisfiable 13.21s 13.38s
% Output   : Refutation 13.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   10 (   8 unt;   1 nHn;   7 RR)
%            Number of literals    :   16 (   2 equ;   8 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-4 aty)
%            Number of variables   :   11 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_irrefl__def_0,axiom,
    ( ~ hBOOL(c_in(c_Pair(X,X,Y,Y),Z,tc_prod(Y,Y)))
    | ~ c_Relation_Oirrefl(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_irrefl__def_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_Relation_Otrans(hAPP(v_P,X),tc_Arrow__Order__Mirabelle_Oalt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_Relation_Oirrefl(hAPP(v_P,X),tc_Arrow__Order__Mirabelle_Oalt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,X),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_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),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_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(cls_conjecture_8,negated_conjecture,
    ( hBOOL(c_in(c_Pair(X,Y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(Z),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | ~ hBOOL(c_in(c_Pair(X,Y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(Z,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
    | X = Y
    | ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(Z,v_Pa(Z)),tc_Arrow__Order__Mirabelle_Oalt)
    | ~ c_Relation_Oirrefl(hAPP(Z,v_Pa(Z)),tc_Arrow__Order__Mirabelle_Oalt)
    | ~ c_Relation_Otrans(hAPP(Z,v_Pa(Z)),tc_Arrow__Order__Mirabelle_Oalt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).

cnf(833,plain,
    ~ hBOOL(c_in(c_Pair(X,X,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,Y),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
    inference('UR-RESOLVE',[status(thm)],[cls_irrefl__def_0,cls_conjecture_1]) ).

cnf(10273,plain,
    v_a = v_b,
    inference('UR-RESOLVE',[status(thm)],[cls_conjecture_8,cls_conjecture_4,cls_conjecture_3,cls_conjecture_2,cls_conjecture_1,cls_conjecture_0]) ).

cnf(10274,plain,
    $false,
    inference('REWRITE',[status(thm)],[cls_conjecture_3,833,10273,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SCT024-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n014.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 08:28:40 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T08:28:40
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-02T08:28:40
% 0.47/0.68  WARNING:
% 0.47/0.68     |c_Equiv__Relations_Ocongruent2| is a 6-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_Orderings_Olinorder| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.68  WARNING:
% 0.47/0.68     |c_Equiv__Relations_Ocongruent| is a 4-ary relation that occurs only negatively; disabling rows that contain it.
% 13.21/13.38  
% 13.21/13.38  
% 13.21/13.38  #||
% 13.21/13.38  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.21/13.38  % SZS output start Refutation
% See solution above
% 13.36/13.56  ||#
% 13.36/13.56  
% 13.36/13.56  ; Summary of computation:
% 13.36/13.56  ;     20051 formulas have been input or derived (from 596 formulas).
% 13.36/13.56  ;     10274 (51%) were retained.  Of these,
% 13.36/13.56  ;          399 ( 4%) were simplified or subsumed later,
% 13.36/13.56  ;         9875 (96%) are still being kept.
% 13.36/13.56  ; 
% 13.36/13.56  ; Run time in seconds excluding printing time:
% 13.36/13.56  ;     0.175   1%   Read assertion file          (1 call)
% 13.36/13.56  ;     0.014   0%   Assert                       (713 calls)
% 13.36/13.56  ;     1.991  15%   Process new row              (18,675 calls)
% 13.36/13.56  ;     0.683   5%   Resolution                   (1,190 calls)
% 13.36/13.56  ;     0.226   2%   Paramodulation               (595 calls)
% 13.36/13.56  ;     0.000   0%   Factoring                    (21 calls)
% 13.36/13.56  ;     0.261   2%   Condensing                   (8,085 calls)
% 13.36/13.56  ;     4.688  36%   Forward subsumption          (8,085 calls)
% 13.36/13.56  ;     0.535   4%   Backward subsumption         (6,294 calls)
% 13.36/13.56  ;     0.122   1%   Clause clause subsumption    (27,787 calls)
% 13.36/13.56  ;     1.542  12%   Forward simplification       (18,523 calls)
% 13.36/13.56  ;     0.274   2%   Backward simplification      (10,263 calls)
% 13.36/13.56  ;     2.291  18%   Ordering                     (129,158 calls)
% 13.36/13.56  ;     0.000   0%   Sortal reasoning             (32 calls)
% 13.36/13.56  ;     0.002   0%   Purity testing               (1 call)
% 13.36/13.56  ;     0.103   1%   Other
% 13.36/13.56  ;    12.907        Total
% 13.36/13.56  ;    13.090        Real time
% 13.36/13.57  ; 
% 13.36/13.57  ; Term-hash-array has 37,310 terms in all.
% 13.36/13.57  ; Feature-vector-row-index has 6,076 entries (6,189 at peak, 6,294 added, 218 deleted).
% 13.36/13.57  ; Feature-vector-row-index has 66,305 nodes (68,846 at peak, 69,927 added, 3,622 deleted).
% 13.36/13.57  ;  Retrieved 40,164 possibly forward subsuming rows in 8,085 calls.
% 13.36/13.57  ;  Retrieved 1,878 possibly backward subsumed rows in 6,294 calls.
% 13.36/13.57  ; Path-index has 36,076 entries (36,843 at peak, 37,522 added, 1,446 deleted).
% 13.36/13.57  ; Path-index has 133,538 nodes (134,299 at peak, 135,286 added, 1,748 deleted).
% 13.36/13.57  ; Trie-index has 36,076 entries (36,843 at peak, 37,522 added, 1,446 deleted).
% 13.36/13.57  ; Trie-index has 317,339 nodes (324,989 at peak, 330,730 added, 13,391 deleted).
% 13.36/13.57  ; Retrieved 147,822 generalization terms in 140,266 calls.
% 13.36/13.57  ; Retrieved 19,628 instance terms in 5,542 calls.
% 13.36/13.57  ; Retrieved 1,025,471 unifiable terms in 8,296 calls.
% 13.36/13.57  ; 
% 13.36/13.57  ; The agenda of backward simplifiable rows to process has 177 entries:
% 13.36/13.57  ;   177 with value 0
% 13.36/13.57  ; The agenda of rows to process has 296 entries:
% 13.36/13.57  ;     1 with value 20              1 with value 94              20 with value 129
% 13.36/13.57  ;     2 with value 42              5 with value 96               3 with value 130
% 13.36/13.57  ;     2 with value 47             25 with value 99               8 with value 140
% 13.36/13.57  ;     5 with value 50              3 with value 101              8 with value 141
% 13.36/13.57  ;     1 with value 58              8 with value 102              8 with value 142
% 13.36/13.57  ;     1 with value 59              1 with value 105              1 with value 146
% 13.36/13.57  ;     1 with value 60              1 with value 106              9 with value 148
% 13.36/13.57  ;     1 with value 62              8 with value 107              1 with value 149
% 13.36/13.57  ;     1 with value 66              2 with value 108              8 with value 151
% 13.36/13.57  ;     5 with value 69              6 with value 109              1 with value 159
% 13.36/13.57  ;    10 with value 72             10 with value 110              1 with value 163
% 13.36/13.57  ;    10 with value 77             10 with value 111              3 with value 166
% 13.36/13.57  ;     6 with value 80             14 with value 112              2 with value 167
% 13.36/13.57  ;     2 with value 81              1 with value 114              3 with value 170
% 13.36/13.57  ;     2 with value 82              1 with value 116              5 with value 173
% 13.36/13.57  ;     3 with value 87             14 with value 118              1 with value 181
% 13.36/13.57  ;     8 with value 88              4 with value 119              1 with value 204
% 13.36/13.57  ;     5 with value 89              4 with value 120              1 with value 216
% 13.36/13.57  ;     6 with value 90             10 with value 121              3 with value 224
% 13.36/13.57  ;     2 with value 91              6 with value 126              1 with value 231
% 13.36/13.57  ; The agenda of input rows to give has 4 entries:
% 13.36/13.57  ;     1 with value 68              1 with value 70               1 with value 72
% 13.36/13.57  ;     1 with value 69
% 13.36/13.57  ; The agenda of rows to give has 9284 entries:
% 13.36/13.57  ;     1 with value (4 5)         181 with value (4 55)          54 with value (4 104)
% 13.36/13.57  ;     2 with value (4 6)         162 with value (4 56)          40 with value (4 105)
% 13.36/13.57  ;    17 with value (4 7)         102 with value (4 57)          18 with value (4 106)
% 13.36/13.57  ;     8 with value (4 8)         101 with value (4 58)          19 with value (4 107)
% 13.36/13.57  ;     1 with value (4 10)        199 with value (4 59)          24 with value (4 108)
% 13.36/13.57  ;    10 with value (4 11)        196 with value (4 60)          18 with value (4 109)
% 13.36/13.57  ;    11 with value (4 12)        133 with value (4 61)          24 with value (4 110)
% 13.36/13.57  ;    22 with value (4 13)        141 with value (4 62)          29 with value (4 111)
% 13.36/13.57  ;    21 with value (4 14)        149 with value (4 63)          19 with value (4 112)
% 13.36/13.57  ;    22 with value (4 15)         96 with value (4 64)          23 with value (4 113)
% 13.36/13.57  ;    17 with value (4 16)        162 with value (4 65)          20 with value (4 114)
% 13.36/13.57  ;    13 with value (4 17)        153 with value (4 66)           6 with value (4 115)
% 13.36/13.57  ;    22 with value (4 18)        107 with value (4 67)           2 with value (4 116)
% 13.36/13.57  ;    27 with value (4 19)        113 with value (4 68)          17 with value (4 117)
% 13.36/13.57  ;    43 with value (4 20)        119 with value (4 69)          10 with value (4 118)
% 13.36/13.57  ;    53 with value (4 21)        117 with value (4 70)           2 with value (4 119)
% 13.36/13.57  ;    39 with value (4 22)         77 with value (4 71)          15 with value (4 121)
% 13.36/13.57  ;    63 with value (4 23)         85 with value (4 72)          12 with value (4 122)
% 13.36/13.57  ;    42 with value (4 24)        111 with value (4 73)           4 with value (4 123)
% 13.36/13.57  ;    81 with value (4 25)        109 with value (4 74)          12 with value (4 124)
% 13.36/13.57  ;    68 with value (4 26)         89 with value (4 75)           3 with value (4 125)
% 13.36/13.57  ;    80 with value (4 27)         89 with value (4 76)           7 with value (4 126)
% 13.36/13.57  ;    93 with value (4 28)        122 with value (4 77)          13 with value (4 127)
% 13.36/13.57  ;    85 with value (4 29)         90 with value (4 78)           6 with value (4 129)
% 13.36/13.57  ;   110 with value (4 30)         76 with value (4 79)           6 with value (4 130)
% 13.36/13.57  ;   127 with value (4 31)         54 with value (4 80)           6 with value (4 131)
% 13.36/13.57  ;   106 with value (4 32)         38 with value (4 81)           7 with value (4 132)
% 13.36/13.57  ;   119 with value (4 33)         90 with value (4 82)          10 with value (4 133)
% 13.36/13.57  ;   117 with value (4 34)         57 with value (4 83)          18 with value (4 134)
% 13.36/13.57  ;    98 with value (4 35)         44 with value (4 84)           4 with value (4 135)
% 13.36/13.57  ;    97 with value (4 36)         81 with value (4 85)          12 with value (4 136)
% 13.36/13.57  ;   192 with value (4 37)         74 with value (4 86)           8 with value (4 137)
% 13.36/13.57  ;   151 with value (4 38)         46 with value (4 87)           7 with value (4 139)
% 13.36/13.57  ;   108 with value (4 39)         62 with value (4 88)           1 with value (4 140)
% 13.36/13.57  ;   167 with value (4 40)         56 with value (4 89)           1 with value (4 145)
% 13.36/13.57  ;   160 with value (4 41)         70 with value (4 90)           4 with value (4 146)
% 13.36/13.57  ;   139 with value (4 42)         59 with value (4 91)          13 with value (4 147)
% 13.36/13.57  ;   117 with value (4 43)         41 with value (4 92)           6 with value (4 150)
% 13.36/13.57  ;   137 with value (4 44)         88 with value (4 93)           4 with value (4 151)
% 13.36/13.57  ;   125 with value (4 45)         36 with value (4 94)           2 with value (4 153)
% 13.36/13.57  ;   138 with value (4 46)         21 with value (4 95)           2 with value (4 155)
% 13.36/13.57  ;   209 with value (4 47)         45 with value (4 96)           1 with value (4 156)
% 13.36/13.57  ;   186 with value (4 48)         53 with value (4 97)           2 with value (4 159)
% 13.36/13.57  ;   139 with value (4 49)         36 with value (4 98)           2 with value (4 161)
% 13.36/13.57  ;   148 with value (4 50)         16 with value (4 99)           2 with value (4 162)
% 13.36/13.57  ;   136 with value (4 51)         28 with value (4 100)          1 with value (4 170)
% 13.36/13.57  ;   137 with value (4 52)         68 with value (4 101)          4 with value (4 176)
% 13.36/13.57  ;   243 with value (4 53)         34 with value (4 102)          2 with value (4 199)
% 13.36/13.57  ;   218 with value (4 54)         21 with value (4 103)
% 13.36/13.57  Evaluation took:
% 13.36/13.57    13.097 seconds of real time
% 13.36/13.57    12.344723 seconds of user run time
% 13.36/13.57    0.750919 seconds of system run time
% 13.36/13.57    [Run times include 3.343 seconds GC run time.]
% 13.36/13.57    0 calls to %EVAL
% 13.36/13.57    0 page faults and
% 13.36/13.57    1,020,960,824 bytes consed.
% 13.36/13.57  :PROOF-FOUND
% 13.36/13.57  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T08:28:53
% 13.36/13.57  :PROOF-FOUND
% 13.36/13.57  * 
%------------------------------------------------------------------------------