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SNARK---20120808r022.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV910-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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 21:36:25 EDT 2022

% Result   : Unsatisfiable 0.77s 0.99s
% Output   : Refutation 0.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   14 (  14 unt;   0 nHn;   3 RR)
%            Number of literals    :   14 (   8 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;   6 con; 0-4 aty)
%            Number of variables   :   30 (  14 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Collect__def_0,axiom,
    c_Collect(X,Y) = X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Collect__def_0) ).

cnf(cls_singleton__conv_0,axiom,
    c_Collect(hAPP(c_COMBC(c_fequal(X),X,X,tc_bool),Y),X) = hAPP(hAPP(c_Set_Oinsert(X),Y),c_Orderings_Obot__class_Obot(tc_fun(X,tc_bool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__conv_0) ).

cnf(224,plain,
    hAPP(c_COMBC(c_fequal(X),X,X,tc_bool),Y) = hAPP(hAPP(c_Set_Oinsert(X),Y),c_Orderings_Obot__class_Obot(tc_fun(X,tc_bool))),
    inference('REWRITE',[status(thm)],[cls_singleton__conv_0,cls_Collect__def_0,theory(equality)]) ).

cnf(cls_empty__def_0,axiom,
    c_Orderings_Obot__class_Obot(tc_fun(X,tc_bool)) = c_Collect(c_COMBK(c_False,tc_bool,X),X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__def_0) ).

cnf(241,plain,
    c_Orderings_Obot__class_Obot(tc_fun(X,tc_bool)) = c_COMBK(c_False,tc_bool,X),
    inference('REWRITE',[status(thm)],[cls_empty__def_0,cls_Collect__def_0,theory(equality)]) ).

cnf(cls_falseE_0,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs(X,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(Y)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),Y),Z,U,Y)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(Y),tc_bool))),Y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_falseE_0) ).

cnf(338,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(X,hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(Y)),tc_Hoare__Mirabelle_Otriple(Y),tc_Hoare__Mirabelle_Otriple(Y),tc_bool),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ostate,tc_bool),Y),Z,U,Y)),Y),
    inference('REWRITE',[status(thm)],[cls_falseE_0,224,241,theory(equality)]) ).

cnf(cls_singleton__conv2_0,axiom,
    c_Collect(hAPP(c_fequal(X),Y),X) = hAPP(hAPP(c_Set_Oinsert(X),Y),c_Orderings_Obot__class_Obot(tc_fun(X,tc_bool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__conv2_0) ).

cnf(347,plain,
    hAPP(c_fequal(X),Y) = hAPP(hAPP(c_Set_Oinsert(X),Y),c_Orderings_Obot__class_Obot(tc_fun(X,tc_bool))),
    inference('REWRITE',[status(thm)],[cls_singleton__conv2_0,cls_Collect__def_0,theory(equality)]) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X,v_c,Y,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(450,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X,v_c,Y,t_a)),t_a),
    inference('REWRITE',[status(thm)],[cls_conjecture_1,347,theory(equality)]) ).

cnf(480,plain,
    hAPP(c_COMBC(c_fequal(X),X,X,tc_bool),Y) = hAPP(c_fequal(X),Y),
    inference('REWRITE',[status(thm)],[224,347,theory(equality)]) ).

cnf(484,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(X,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(Y)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ostate,tc_bool),Y),Z,U,Y)),Y),
    inference('REWRITE',[status(thm)],[338,480,theory(equality)]) ).

cnf(1426,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[450,484]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV910-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n021.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 : Thu Jun 16 03:57:44 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-16T03:57:44
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-16T03:57:44
% 0.38/0.62  WARNING:
% 0.38/0.62     |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.38/0.62  WARNING:
% 0.38/0.62     |class_Orderings_Olinorder| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.38/0.62  WARNING:
% 0.38/0.62     |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.77/0.99  
% 0.77/0.99  
% 0.77/0.99  #||
% 0.77/0.99  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.99  % SZS output start Refutation
% See solution above
% 0.77/0.99  ||#
% 0.77/0.99  
% 0.77/0.99  ; Summary of computation:
% 0.77/0.99  ;      2810 formulas have been input or derived (from 261 formulas).
% 0.77/0.99  ;      1426 (51%) were retained.  Of these,
% 0.77/0.99  ;          128 ( 9%) were simplified or subsumed later,
% 0.77/0.99  ;         1298 (91%) are still being kept.
% 0.77/0.99  ; 
% 0.77/0.99  ; Run time in seconds excluding printing time:
% 0.77/0.99  ;     0.125  24%   Read assertion file          (1 call)
% 0.77/0.99  ;     0.009   2%   Assert                       (498 calls)
% 0.77/0.99  ;     0.126  24%   Process new row              (2,428 calls)
% 0.77/0.99  ;     0.035   7%   Resolution                   (520 calls)
% 0.77/0.99  ;     0.022   4%   Paramodulation               (260 calls)
% 0.77/0.99  ;     0.000   0%   Factoring                    (2 calls)
% 0.77/0.99  ;     0.012   2%   Condensing                   (764 calls)
% 0.77/0.99  ;     0.025   5%   Forward subsumption          (764 calls)
% 0.77/0.99  ;     0.011   2%   Backward subsumption         (641 calls)
% 0.77/0.99  ;     0.020   4%   Clause clause subsumption    (662 calls)
% 0.77/0.99  ;     0.067  13%   Forward simplification       (2,405 calls)
% 0.77/0.99  ;     0.014   3%   Backward simplification      (1,363 calls)
% 0.77/0.99  ;     0.024   5%   Ordering                     (3,351 calls)
% 0.77/0.99  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.77/0.99  ;     0.001   0%   Purity testing               (1 call)
% 0.83/0.99  ;     0.026   5%   Other
% 0.83/0.99  ;     0.517        Total
% 0.83/0.99  ;     0.519        Real time
% 0.83/0.99  ; 
% 0.83/0.99  ; Term-hash-array has 3,989 terms in all.
% 0.83/0.99  ; Feature-vector-row-index has 617 entries (617 at peak, 641 added, 24 deleted).
% 0.83/0.99  ; Feature-vector-row-index has 4,308 nodes (4,308 at peak, 4,761 added, 453 deleted).
% 0.83/0.99  ;  Retrieved 604 possibly forward subsuming rows in 764 calls.
% 0.83/0.99  ;  Retrieved 189 possibly backward subsumed rows in 641 calls.
% 0.83/0.99  ; Path-index has 3,837 entries (3,837 at peak, 4,044 added, 207 deleted).
% 0.83/0.99  ; Path-index has 10,429 nodes (10,429 at peak, 10,925 added, 496 deleted).
% 0.83/0.99  ; Trie-index has 3,837 entries (3,837 at peak, 4,044 added, 207 deleted).
% 0.83/0.99  ; Trie-index has 16,751 nodes (16,751 at peak, 18,155 added, 1,404 deleted).
% 0.83/0.99  ; Retrieved 3,723 generalization terms in 9,697 calls.
% 0.83/0.99  ; Retrieved 1,289 instance terms in 836 calls.
% 0.83/0.99  ; Retrieved 40,217 unifiable terms in 2,036 calls.
% 0.83/0.99  ; 
% 0.83/0.99  ; The agenda of rows to process has 33 entries:
% 0.83/0.99  ;     1 with value 6              16 with value 27               1 with value 36
% 0.83/0.99  ;     1 with value 11              1 with value 33               1 with value 37
% 0.83/0.99  ;     4 with value 13              1 with value 34               1 with value 38
% 0.83/0.99  ;     1 with value 17              5 with value 35
% 0.83/0.99  ; The agenda of input rows to give has 133 entries:
% 0.83/0.99  ;     8 with value 27              1 with value 36               1 with value 48
% 0.83/0.99  ;     8 with value 28              8 with value 37               3 with value 50
% 0.83/0.99  ;     9 with value 29              9 with value 38               2 with value 52
% 0.83/0.99  ;    12 with value 30              1 with value 39               1 with value 57
% 0.83/0.99  ;    10 with value 31              4 with value 40               1 with value 58
% 0.83/0.99  ;    15 with value 32              3 with value 41               2 with value 60
% 0.83/0.99  ;     8 with value 33              4 with value 45               1 with value 63
% 0.83/0.99  ;     9 with value 34              8 with value 46               1 with value 81
% 0.83/0.99  ;     4 with value 35
% 0.83/0.99  ; The agenda of rows to give has 908 entries:
% 0.83/0.99  ;     1 with value (4 5)          46 with value (4 18)          42 with value (4 30)
% 0.83/0.99  ;     4 with value (4 6)          34 with value (4 19)          39 with value (4 31)
% 0.83/0.99  ;    13 with value (4 7)          31 with value (4 20)          46 with value (4 32)
% 0.83/0.99  ;     2 with value (4 8)          29 with value (4 21)          33 with value (4 33)
% 0.83/0.99  ;     2 with value (4 10)         37 with value (4 22)          20 with value (4 34)
% 0.83/0.99  ;     3 with value (4 11)         25 with value (4 23)          23 with value (4 35)
% 0.83/0.99  ;     8 with value (4 12)         50 with value (4 24)          10 with value (4 36)
% 0.83/0.99  ;    28 with value (4 13)         39 with value (4 25)          12 with value (4 37)
% 0.83/0.99  ;    31 with value (4 14)         54 with value (4 26)          15 with value (4 38)
% 0.83/0.99  ;    27 with value (4 15)         50 with value (4 27)           2 with value (4 39)
% 0.83/0.99  ;    37 with value (4 16)         42 with value (4 28)           4 with value (4 40)
% 0.83/0.99  ;    30 with value (4 17)         38 with value (4 29)           1 with value (4 41)
% 0.83/0.99  Evaluation took:
% 0.83/0.99    0.52 seconds of real time
% 0.83/0.99    0.490448 seconds of user run time
% 0.83/0.99    0.02901 seconds of system run time
% 0.83/0.99    [Run times include 0.027 seconds GC run time.]
% 0.83/0.99    0 calls to %EVAL
% 0.83/0.99    0 page faults and
% 0.83/0.99    35,958,664 bytes consed.
% 0.83/0.99  :PROOF-FOUND
% 0.83/0.99  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T03:57:45
% 0.83/0.99  :PROOF-FOUND
% 0.83/0.99  * 
%------------------------------------------------------------------------------