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

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SCT171+3 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 22:11:13 EDT 2022

% Result   : Theorem 1.29s 1.51s
% Output   : Refutation 1.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   6 unt;   0 nHn;   6 RR)
%            Number of literals    :    8 (   1 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :   13 (   3 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   45 (  45 usr;  19 con; 0-2 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(191,axiom,
    hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,c),d)),hAPP_f412050202t_bool(f,hAPP_f1740414619t_bool(cOMBS_1064524443t_bool(hAPP_f1842612975t_bool(cOMBS_131695599t_bool(hAPP_f586238575t_bool(cOMBB_2107911302e_indi(if_fun2098446489t_bool),hAPP_n821919323i_bool(hAPP_f446868133i_bool(cOMBC_1996607964t_bool,hAPP_f224734595t_bool(cOMBB_1883918730e_indi(ord_less_nat),h)),n))),hAPP_A1805174428t_bool(hAPP_f1808153265t_bool(cOMBC_1353880399t_bool,hAPP_f721938099t_bool(cOMBB_2032668066e_indi(arrow_1644373103_mktop),p)),e))),hAPP_f1740414619t_bool(cOMBS_1064524443t_bool(hAPP_f1842612975t_bool(cOMBS_131695599t_bool(hAPP_f586238575t_bool(cOMBB_2107911302e_indi(if_fun2098446489t_bool),hAPP_n821919323i_bool(hAPP_f446868133i_bool(cOMBC_1996607964t_bool,hAPP_f224734595t_bool(cOMBB_1883918730e_indi(fequal_nat),h)),n))),hAPP_A1805174428t_bool(hAPP_f1808153265t_bool(cOMBC_1353880399t_bool,hAPP_A1906441908t_bool(hAPP_f248867553t_bool(cOMBC_898791271t_bool,hAPP_f210227915t_bool(cOMBB_1769989562e_indi(arrow_230821333_above),p)),c)),e))),hAPP_A1805174428t_bool(hAPP_f1808153265t_bool(cOMBC_1353880399t_bool,hAPP_f721938099t_bool(cOMBB_2032668066e_indi(arrow_1495666017_mkbot),p)),e)))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).

cnf(192,axiom,
    ( hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,c),d)),hAPP_f412050202t_bool(f,p)))
    | ~ hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,c),d)),hAPP_f412050202t_bool(f,hAPP_f1740414619t_bool(cOMBS_1064524443t_bool(hAPP_f1842612975t_bool(cOMBS_131695599t_bool(hAPP_f586238575t_bool(cOMBB_2107911302e_indi(if_fun2098446489t_bool),hAPP_n821919323i_bool(hAPP_f446868133i_bool(cOMBC_1996607964t_bool,hAPP_f224734595t_bool(cOMBB_1883918730e_indi(ord_less_nat),h)),n))),hAPP_A1805174428t_bool(hAPP_f1808153265t_bool(cOMBC_1353880399t_bool,hAPP_f721938099t_bool(cOMBB_2032668066e_indi(arrow_1644373103_mktop),p)),e))),hAPP_f1740414619t_bool(cOMBS_1064524443t_bool(hAPP_f1842612975t_bool(cOMBS_131695599t_bool(hAPP_f586238575t_bool(cOMBB_2107911302e_indi(if_fun2098446489t_bool),hAPP_n821919323i_bool(hAPP_f446868133i_bool(cOMBC_1996607964t_bool,hAPP_f224734595t_bool(cOMBB_1883918730e_indi(fequal_nat),h)),n))),hAPP_A1805174428t_bool(hAPP_f1808153265t_bool(cOMBC_1353880399t_bool,hAPP_A1906441908t_bool(hAPP_f248867553t_bool(cOMBC_898791271t_bool,hAPP_f210227915t_bool(cOMBB_1769989562e_indi(arrow_230821333_above),p)),c)),e))),hAPP_A1805174428t_bool(hAPP_f1808153265t_bool(cOMBC_1353880399t_bool,hAPP_f721938099t_bool(cOMBB_2032668066e_indi(arrow_1495666017_mkbot),p)),e)))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_PW) ).

cnf(193,plain,
    hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,c),d)),hAPP_f412050202t_bool(f,p))),
    inference('REWRITE',[status(thm)],[192,191]) ).

cnf(1751,axiom,
    hAPP_P606313927t_bool(hAPP_f515126293t_bool(hAPP_f49469479t_bool(cOMBC_864945570l_bool,X),Y),Z) = hAPP_f592646513l_bool(hAPP_P229966473l_bool(X,Z),Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__prod_Itc__Arrow____Order____Mirabelle____tpnfnnbpuu_) ).

cnf(1777,negated_conjecture,
    ~ hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,c),d)),hAPP_f412050202t_bool(f,p))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

cnf(1778,plain,
    ~ hBOOL(hAPP_P606313927t_bool(hAPP_f515126293t_bool(hAPP_f49469479t_bool(cOMBC_864945570l_bool,member1441201108le_alt),hAPP_f412050202t_bool(f,p)),hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,c),d))),
    inference('REWRITE',[status(thm)],[1777,1751,theory(equality)]) ).

cnf(1881,plain,
    $false,
    inference('REWRITE',[status(thm)],[193,1778,1751,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SCT171+3 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jul  2 06:38:09 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T06:38:09
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-07-02T06:38:09
% 0.59/0.80  
% 0.68/0.85  ; Recognized left identity assertion (= (|hAPP_f800510211t_bool| |collect_nat| ?X) ?X).
% 0.68/0.85  ; Recognized left identity assertion (= (|hAPP_nat_nat| |size_size_nat| ?X) ?X).
% 1.29/1.51  ; Recognized left identity assertion (= (|hAPP_nat_nat| |cOMBI_nat| ?X) ?X).
% 1.29/1.51  
% 1.29/1.51  #||
% 1.29/1.51  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.29/1.51  % SZS output start Refutation
% See solution above
% 1.29/1.51  ||#
% 1.29/1.51  
% 1.29/1.51  ; Summary of computation:
% 1.29/1.51  ;      2750 formulas have been input or derived (from 1 formulas).
% 1.29/1.51  ;      1881 (68%) were retained.  Of these,
% 1.29/1.51  ;          442 (23%) were simplified or subsumed later,
% 1.29/1.51  ;         1439 (77%) are still being kept.
% 1.29/1.51  ; 
% 1.29/1.51  ; Run time in seconds excluding printing time:
% 1.29/1.51  ;     0.321  31%   Read assertion file          (1 call)
% 1.29/1.51  ;     0.053   5%   Assert                       (1,415 calls)
% 1.29/1.51  ;     0.172  16%   Process new row              (2,436 calls)
% 1.29/1.51  ;     0.018   2%   Condensing                   (2,053 calls)
% 1.29/1.51  ;     0.230  22%   Forward subsumption          (2,053 calls)
% 1.29/1.51  ;     0.077   7%   Backward subsumption         (1,486 calls)
% 1.29/1.51  ;     0.007   1%   Clause clause subsumption    (1,839 calls)
% 1.29/1.51  ;     0.045   4%   Forward simplification       (2,436 calls)
% 1.29/1.51  ;     0.031   3%   Backward simplification      (1,793 calls)
% 1.29/1.51  ;     0.052   5%   Ordering                     (869 calls)
% 1.29/1.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.29/1.51  ;     0.003   0%   Purity testing               (1 call)
% 1.29/1.51  ;     0.036   3%   Other
% 1.29/1.51  ;     1.045        Total
% 1.29/1.51  ;     1.046        Real time
% 1.29/1.51  ; 
% 1.29/1.51  ; Term-hash-array has 7,014 terms in all.
% 1.29/1.51  ; Feature-vector-row-index has 1,165 entries (1,288 at peak, 1,486 added, 321 deleted).
% 1.29/1.51  ; Feature-vector-row-index has 16,807 nodes (19,001 at peak, 22,923 added, 6,116 deleted).
% 1.29/1.51  ;  Retrieved 2,090 possibly forward subsuming rows in 2,053 calls.
% 1.29/1.51  ;  Retrieved 358 possibly backward subsumed rows in 1,486 calls.
% 1.29/1.51  ; Path-index has 6,272 entries (6,643 at peak, 7,291 added, 1,019 deleted).
% 1.29/1.51  ; Path-index has 21,617 nodes (21,617 at peak, 23,037 added, 1,420 deleted).
% 1.29/1.51  ; Trie-index has 6,272 entries (6,643 at peak, 7,291 added, 1,019 deleted).
% 1.29/1.51  ; Trie-index has 17,229 nodes (18,016 at peak, 20,741 added, 3,512 deleted).
% 1.29/1.51  ; Retrieved 3,939 generalization terms in 9,857 calls.
% 1.29/1.51  ; Retrieved 922 instance terms in 349 calls.
% 1.29/1.51  ; 
% 1.29/1.51  ; The agenda of backward simplifiable rows to process has 225 entries:
% 1.29/1.51  ;   225 with value 0
% 1.29/1.51  ; The agenda of input rows to give has 1438 entries:
% 1.29/1.51  ;    27 with value 3              47 with value 28               1 with value 60
% 1.29/1.51  ;     2 with value 4              11 with value 29               3 with value 61
% 1.29/1.51  ;     3 with value 5               8 with value 30               3 with value 62
% 1.29/1.51  ;    73 with value 6               6 with value 31               1 with value 64
% 1.29/1.51  ;     9 with value 7              34 with value 32               1 with value 65
% 1.29/1.51  ;     6 with value 8               3 with value 33               2 with value 68
% 1.29/1.51  ;    90 with value 9              29 with value 34               1 with value 69
% 1.29/1.51  ;    22 with value 10             27 with value 35               1 with value 70
% 1.29/1.51  ;    17 with value 11             81 with value 36               7 with value 72
% 1.29/1.51  ;    12 with value 12              3 with value 37               2 with value 73
% 1.29/1.51  ;    58 with value 13             83 with value 38               2 with value 74
% 1.29/1.51  ;    14 with value 14              4 with value 39               1 with value 76
% 1.29/1.51  ;    28 with value 15              2 with value 41               5 with value 77
% 1.29/1.51  ;    43 with value 16              3 with value 42               8 with value 84
% 1.29/1.51  ;    26 with value 17             80 with value 43               1 with value 85
% 1.29/1.51  ;    53 with value 18             81 with value 45               4 with value 89
% 1.29/1.51  ;     6 with value 19              3 with value 46               3 with value 92
% 1.29/1.51  ;    14 with value 20             87 with value 48               1 with value 96
% 1.29/1.51  ;    11 with value 21              2 with value 49               1 with value 101
% 1.29/1.51  ;    36 with value 22             85 with value 50               4 with value 110
% 1.29/1.51  ;    18 with value 23              1 with value 51               4 with value 112
% 1.29/1.51  ;    44 with value 24              1 with value 53               4 with value 123
% 1.29/1.51  ;     9 with value 25              7 with value 54               4 with value 124
% 1.29/1.51  ;     2 with value 26              2 with value 57               6 with value 132
% 1.29/1.51  ;    53 with value 27              2 with value 59
% 1.29/1.51  Evaluation took:
% 1.29/1.51    1.047 seconds of real time
% 1.29/1.51    0.997188 seconds of user run time
% 1.29/1.51    0.049534 seconds of system run time
% 1.29/1.51    [Run times include 0.107 seconds GC run time.]
% 1.29/1.51    0 calls to %EVAL
% 1.29/1.51    0 page faults and
% 1.29/1.51    104,889,112 bytes consed.
% 1.29/1.51  :PROOF-FOUND
% 1.29/1.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T06:38:10
% 1.29/1.51  :PROOF-FOUND
% 1.29/1.51  * 
%------------------------------------------------------------------------------