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SNARK---20120808r022.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU371+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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 : Tue Jul 19 14:22:02 EDT 2022

% Result   : Theorem 0.36s 0.62s
% Output   : Refutation 0.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   16 (  13 unt;   2 nHn;   5 RR)
%            Number of literals    :   25 (  10 equ;   9 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   2 con; 0-2 aty)
%            Number of variables   :   16 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(37,axiom,
    ( ~ rel_str(X)
    | bottom_of_relstr(X) = join_on_relstr(X,empty_set) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_yellow_0) ).

cnf(40,axiom,
    boole_POSet(X) = poset_of_lattice(boole_lattice(X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_yellow_1) ).

cnf(48,axiom,
    latt_str(boole_lattice(X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice3) ).

cnf(63,axiom,
    rel_str(boole_POSet(X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_yellow_1) ).

cnf(86,axiom,
    ~ empty_carrier(boole_lattice(X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_knaster) ).

cnf(93,axiom,
    lattice(boole_lattice(X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_knaster) ).

cnf(100,axiom,
    complete_latt_str(boole_lattice(X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_knaster) ).

cnf(264,negated_conjecture,
    bottom_of_relstr(boole_POSet('SKOLEMAAAV29')) != empty_set,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_yellow_1) ).

cnf(266,axiom,
    ( empty_carrier(X)
    | ~ lattice(X)
    | ~ complete_latt_str(X)
    | ~ latt_str(X)
    | join_of_latt_set(X,Y) = join_on_relstr(poset_of_lattice(X),Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_yellow_0) ).

cnf(271,axiom,
    bottom_of_semilattstr(boole_lattice(X)) = empty_set,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_lattice3) ).

cnf(275,axiom,
    ( empty_carrier(X)
    | ~ lattice(X)
    | ~ complete_latt_str(X)
    | ~ latt_str(X)
    | bottom_of_semilattstr(X) = join_of_latt_set(X,empty_set) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t50_lattice3) ).

cnf(338,plain,
    bottom_of_relstr(boole_POSet(X)) = join_on_relstr(boole_POSet(X),empty_set),
    inference('HYPERRESOLVE',[status(thm)],[37,63]) ).

cnf(552,plain,
    empty_set = join_of_latt_set(boole_lattice(X),empty_set),
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[275,86,93,100,48]),271,theory(equality)]) ).

cnf(612,plain,
    join_of_latt_set(boole_lattice(X),Y) = join_on_relstr(boole_POSet(X),Y),
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[266,86,93,100,48]),40,theory(equality)]) ).

cnf(614,plain,
    bottom_of_relstr(boole_POSet(X)) = empty_set,
    inference('REWRITE',[status(thm)],[338,552,612,theory(equality)]) ).

cnf(616,plain,
    $false,
    inference('REWRITE',[status(thm)],[264,614,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU371+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n029.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 : Sun Jun 19 05:26:59 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 2022-06-19T05:26:59
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-19T05:26:59
% 0.35/0.52  WARNING:
% 0.35/0.52     |relation| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.35/0.52  WARNING:
% 0.35/0.52     |modular_lattstr| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  
% 0.36/0.62  
% 0.36/0.62  #||
% 0.36/0.62  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.62  % SZS output start Refutation
% See solution above
% 0.36/0.62  ||#
% 0.36/0.62  
% 0.36/0.62  ; Summary of computation:
% 0.36/0.62  ;      1161 formulas have been input or derived (from 263 formulas).
% 0.36/0.62  ;       616 (53%) were retained.  Of these,
% 0.36/0.62  ;           25 ( 4%) were simplified or subsumed later,
% 0.36/0.62  ;          591 (96%) are still being kept.
% 0.36/0.62  ; 
% 0.36/0.62  ; Run time in seconds excluding printing time:
% 0.36/0.62  ;     0.032  22%   Read assertion file          (1 call)
% 0.36/0.62  ;     0.006   4%   Assert                       (115 calls)
% 0.36/0.62  ;     0.029  20%   Process new row              (1,112 calls)
% 0.36/0.62  ;     0.017  12%   Resolution                   (524 calls)
% 0.36/0.62  ;     0.000   0%   Paramodulation               (262 calls)
% 0.36/0.62  ;     0.000   0%   Factoring                    (2 calls)
% 0.36/0.62  ;     0.002   1%   Condensing                   (241 calls)
% 0.36/0.62  ;     0.006   4%   Forward subsumption          (241 calls)
% 0.36/0.62  ;     0.007   5%   Backward subsumption         (197 calls)
% 0.36/0.62  ;     0.002   1%   Clause clause subsumption    (172 calls)
% 0.36/0.62  ;     0.007   5%   Forward simplification       (1,103 calls)
% 0.36/0.62  ;     0.005   3%   Backward simplification      (616 calls)
% 0.36/0.62  ;     0.001   1%   Ordering                     (269 calls)
% 0.36/0.62  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.36/0.62  ;     0.002   1%   Purity testing               (1 call)
% 0.36/0.62  ;     0.028  19%   Other
% 0.36/0.62  ;     0.144        Total
% 0.36/0.62  ;     0.146        Real time
% 0.36/0.62  ; 
% 0.36/0.62  ; Term-hash-array has 977 terms in all.
% 0.36/0.62  ; Feature-vector-row-index has 191 entries (191 at peak, 197 added, 6 deleted).
% 0.36/0.62  ; Feature-vector-row-index has 721 nodes (721 at peak, 745 added, 24 deleted).
% 0.36/0.62  ;  Retrieved 215 possibly forward subsuming rows in 241 calls.
% 0.36/0.62  ;  Retrieved 57 possibly backward subsumed rows in 197 calls.
% 0.36/0.62  ; Path-index has 966 entries (986 at peak, 1,005 added, 39 deleted).
% 0.36/0.62  ; Path-index has 1,913 nodes (1,948 at peak, 1,965 added, 52 deleted).
% 0.36/0.62  ; Trie-index has 966 entries (986 at peak, 1,005 added, 39 deleted).
% 0.36/0.62  ; Trie-index has 2,711 nodes (2,811 at peak, 2,867 added, 156 deleted).
% 0.36/0.62  ; Retrieved 713 generalization terms in 1,837 calls.
% 0.36/0.62  ; Retrieved 428 instance terms in 418 calls.
% 0.36/0.62  ; Retrieved 11,638 unifiable terms in 5,200 calls.
% 0.36/0.62  ; 
% 0.36/0.62  ; The agenda of backward simplifiable rows to process has 5 entries:
% 0.36/0.62  ;     5 with value 0
% 0.36/0.62  ; The agenda of rows to process has 1 entry:
% 0.36/0.62  ;     1 with value 20
% 0.36/0.62  ; The agenda of input rows to give has 12 entries:
% 0.36/0.62  ;     1 with value 23              1 with value 28               1 with value 48
% 0.36/0.62  ;     3 with value 25              2 with value 45               3 with value 53
% 0.36/0.62  ;     1 with value 27
% 0.36/0.62  ; The agenda of rows to give has 320 entries:
% 0.36/0.62  ;    29 with value (4 4)          15 with value (4 12)           2 with value (4 20)
% 0.36/0.62  ;     3 with value (4 5)          15 with value (4 13)           2 with value (4 28)
% 0.36/0.62  ;    83 with value (4 6)          10 with value (4 14)           2 with value (4 31)
% 0.36/0.62  ;     5 with value (4 7)           2 with value (4 15)          24 with value (4 33)
% 0.36/0.62  ;    19 with value (4 8)           2 with value (4 16)          20 with value (4 36)
% 0.36/0.62  ;    33 with value (4 9)           1 with value (4 17)           4 with value (4 39)
% 0.36/0.62  ;    32 with value (4 10)          1 with value (4 18)           4 with value (4 41)
% 0.36/0.62  ;     8 with value (4 11)          2 with value (4 19)           2 with value (4 44)
% 0.36/0.62  Evaluation took:
% 0.36/0.62    0.146 seconds of real time
% 0.36/0.62    0.130234 seconds of user run time
% 0.36/0.62    0.016054 seconds of system run time
% 0.36/0.62    0 calls to %EVAL
% 0.36/0.62    0 page faults and
% 0.36/0.62    9,940,912 bytes consed.
% 0.36/0.62  :PROOF-FOUND
% 0.36/0.62  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T05:27:00
% 0.36/0.62  :PROOF-FOUND
% 0.36/0.62  * 
%------------------------------------------------------------------------------