TSTP Solution File: SCT171+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SCT171+2 : 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 0.86s 1.07s
% Output   : Refutation 0.86s
% 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    :   12 (   3 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   43 (  43 usr;  19 con; 0-2 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(182,axiom,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_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(183,axiom,
    ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p)))
    | ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(ord_less_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_312654597_mktop),p)),e)),cOMBS_178315313t_bool(cOMBS_995062533t_bool(hAPP_f1931036015t_bool(cOMBB_810329756e_indi(if_fun1158274329t_bool),hAPP_n1600508401i_bool(hAPP_f595617317i_bool(cOMBC_70761414t_bool,hAPP_f1882280879t_bool(cOMBB_552200224e_indi(fequal_nat),h)),n)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_A711952286t_bool(hAPP_f114580065t_bool(cOMBC_1377016489t_bool,hAPP_f1044120523t_bool(cOMBB_930893948e_indi(arrow_1046586475_above),p)),c)),e)),hAPP_A630236912t_bool(hAPP_f832306437t_bool(cOMBC_325526267t_bool,hAPP_f2027600413t_bool(cOMBB_640263118e_indi(arrow_163947511_mkbot),p)),e)))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_PW) ).

cnf(184,plain,
    hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p))),
    inference('REWRITE',[status(thm)],[183,182]) ).

cnf(958,axiom,
    hAPP_P1813625415t_bool(hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,X),Y),Z) = hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(X,Z),Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__prod_Itc__Arrow____Order____Mirabelle____wylsunqmtb_) ).

cnf(976,negated_conjecture,
    ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d)),hAPP_f1817389232t_bool(f,p))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

cnf(977,plain,
    ~ hBOOL(hAPP_P1813625415t_bool(hAPP_f137597973t_bool(hAPP_f1152614183t_bool(cOMBC_420816290l_bool,member720722004le_alt),hAPP_f1817389232t_bool(f,p)),hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,c),d))),
    inference('REWRITE',[status(thm)],[976,958,theory(equality)]) ).

cnf(1111,plain,
    $false,
    inference('REWRITE',[status(thm)],[184,977,958,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SCT171+2 : TPTP v8.1.0. Released v5.3.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n025.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sat Jul  2 02:44:39 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 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 2022-07-02T02:44:39
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-07-02T02:44:39
% 0.49/0.70  
% 0.86/1.07  ; Recognized left identity assertion (= (|hAPP_nat_nat| |cOMBI_nat| ?X) ?X).
% 0.86/1.07  
% 0.86/1.07  #||
% 0.86/1.07  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.86/1.07  % SZS output start Refutation
% See solution above
% 0.86/1.07  ||#
% 0.86/1.07  
% 0.86/1.07  ; Summary of computation:
% 0.86/1.07  ;      1678 formulas have been input or derived (from 1 formulas).
% 0.86/1.07  ;      1111 (66%) were retained.  Of these,
% 0.86/1.07  ;          362 (33%) were simplified or subsumed later,
% 0.86/1.07  ;          749 (67%) are still being kept.
% 0.86/1.07  ; 
% 0.86/1.07  ; Run time in seconds excluding printing time:
% 0.86/1.07  ;     0.184  31%   Read assertion file          (1 call)
% 0.86/1.07  ;     0.032   5%   Assert                       (885 calls)
% 0.86/1.07  ;     0.109  18%   Process new row              (1,461 calls)
% 0.86/1.07  ;     0.018   3%   Condensing                   (1,133 calls)
% 0.86/1.07  ;     0.106  18%   Forward subsumption          (1,133 calls)
% 0.86/1.07  ;     0.043   7%   Backward subsumption         (788 calls)
% 0.86/1.07  ;     0.006   1%   Clause clause subsumption    (803 calls)
% 0.86/1.07  ;     0.044   7%   Forward simplification       (1,461 calls)
% 0.86/1.07  ;     0.031   5%   Backward simplification      (1,041 calls)
% 0.86/1.07  ;     0.003   0%   Ordering                     (876 calls)
% 0.86/1.07  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.86/1.07  ;     0.002   0%   Purity testing               (1 call)
% 0.86/1.07  ;     0.024   4%   Other
% 0.86/1.07  ;     0.602        Total
% 0.86/1.07  ;     0.604        Real time
% 0.86/1.07  ; 
% 0.86/1.07  ; Term-hash-array has 3,036 terms in all.
% 0.86/1.07  ; Feature-vector-row-index has 532 entries (616 at peak, 788 added, 256 deleted).
% 0.86/1.07  ; Feature-vector-row-index has 6,770 nodes (7,824 at peak, 11,476 added, 4,706 deleted).
% 0.86/1.07  ;  Retrieved 1,461 possibly forward subsuming rows in 1,133 calls.
% 0.86/1.07  ;  Retrieved 434 possibly backward subsumed rows in 788 calls.
% 0.86/1.07  ; Path-index has 2,505 entries (2,606 at peak, 3,346 added, 841 deleted).
% 0.86/1.07  ; Path-index has 12,119 nodes (12,119 at peak, 13,601 added, 1,482 deleted).
% 0.86/1.07  ; Trie-index has 2,505 entries (2,606 at peak, 3,346 added, 841 deleted).
% 0.86/1.07  ; Trie-index has 7,743 nodes (7,786 at peak, 10,919 added, 3,176 deleted).
% 0.86/1.07  ; Retrieved 1,603 generalization terms in 6,112 calls.
% 0.86/1.07  ; Retrieved 714 instance terms in 298 calls.
% 0.86/1.07  ; 
% 0.86/1.07  ; The agenda of backward simplifiable rows to process has 146 entries:
% 0.86/1.07  ;   146 with value 0
% 0.86/1.07  ; The agenda of input rows to give has 748 entries:
% 0.86/1.07  ;    26 with value 3              39 with value 27               4 with value 59
% 0.86/1.07  ;     2 with value 4              22 with value 28               1 with value 60
% 0.86/1.07  ;     3 with value 5              11 with value 29               2 with value 61
% 0.86/1.07  ;    65 with value 6               6 with value 30               4 with value 63
% 0.86/1.07  ;     1 with value 7               5 with value 31               2 with value 64
% 0.86/1.07  ;    11 with value 8              15 with value 32               1 with value 65
% 0.86/1.07  ;    82 with value 9               1 with value 33               2 with value 68
% 0.86/1.07  ;    12 with value 10             28 with value 34               1 with value 69
% 0.86/1.07  ;     9 with value 11              6 with value 35               6 with value 72
% 0.86/1.07  ;    16 with value 12              6 with value 37               2 with value 73
% 0.86/1.07  ;    30 with value 13              8 with value 38               5 with value 77
% 0.86/1.07  ;    15 with value 14              2 with value 39               2 with value 78
% 0.86/1.07  ;    24 with value 15              5 with value 40               3 with value 80
% 0.86/1.07  ;    50 with value 16              1 with value 41               4 with value 84
% 0.86/1.07  ;    23 with value 17              6 with value 42               4 with value 89
% 0.86/1.07  ;    34 with value 18              3 with value 45               4 with value 90
% 0.86/1.07  ;     6 with value 19              2 with value 46               1 with value 96
% 0.86/1.07  ;     8 with value 20              4 with value 48               3 with value 98
% 0.86/1.07  ;    11 with value 21              1 with value 49               1 with value 101
% 0.86/1.07  ;    22 with value 22              2 with value 50               4 with value 116
% 0.86/1.07  ;    22 with value 23              1 with value 51               4 with value 118
% 0.86/1.07  ;    11 with value 24              1 with value 53               4 with value 129
% 0.86/1.07  ;     5 with value 25              7 with value 54               4 with value 130
% 0.86/1.07  ;     3 with value 26              1 with value 56               6 with value 138
% 0.86/1.07  Evaluation took:
% 0.86/1.07    0.605 seconds of real time
% 0.86/1.07    0.580317 seconds of user run time
% 0.86/1.07    0.023808 seconds of system run time
% 0.86/1.07    [Run times include 0.034 seconds GC run time.]
% 0.86/1.07    0 calls to %EVAL
% 0.86/1.07    0 page faults and
% 0.86/1.07    57,700,216 bytes consed.
% 0.86/1.07  :PROOF-FOUND
% 0.86/1.07  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T02:44:40
% 0.86/1.07  :PROOF-FOUND
% 0.86/1.07  * 
%------------------------------------------------------------------------------