TSTP Solution File: SCT171_3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% 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 : n020.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 1.32s 1.48s
% Output   : Refutation 1.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    7 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :  196 (   1 equ)
%            Maximal formula atoms :    2 (  28 avg)
%            Number of connectives :    4 (   3   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  188 ( 188 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   51 (  49 usr;  23 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    3 (   0 sgn   3   !;   0   ?;   3   :)

% Comments : 
%------------------------------------------------------------------------------
tff(46,axiom,
    hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(ord_less_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1630265669_mktop),p)),e))),hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(fequal_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_A1889513822t_bool(hAPP_f2102110817t_bool(cOMBC_1486904681t_bool,hAPP_f1751344075t_bool(cOMBB_1876517692e_indi(arrow_216713899_above),p)),c)),e))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1481558583_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) ).

tff(47,axiom,
    ( hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,p)))
    | ~ hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(ord_less_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1630265669_mktop),p)),e))),hAPP_f1302887663t_bool(cOMBS_1181656689t_bool(hAPP_f1001205955t_bool(cOMBS_1925466437t_bool(hAPP_f668886383t_bool(cOMBB_1061985500e_indi(if_fun523439385t_bool),hAPP_n34002993i_bool(hAPP_f721434149i_bool(cOMBC_722552198t_bool,hAPP_f966656047t_bool(cOMBB_1869811296e_indi(fequal_nat),h)),n))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_A1889513822t_bool(hAPP_f2102110817t_bool(cOMBC_1486904681t_bool,hAPP_f1751344075t_bool(cOMBB_1876517692e_indi(arrow_216713899_above),p)),c)),e))),hAPP_A425126512t_bool(hAPP_f1631649925t_bool(cOMBC_1417338747t_bool,hAPP_f831214557t_bool(cOMBB_80760910e_indi(arrow_1481558583_mkbot),p)),e)))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_PW) ).

tff(48,plain,
    hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,p))),
    inference('REWRITE',[status(thm)],[47,46]) ).

tff(1401,axiom,
    ! [X: fun_Pr1085078251l_bool,Y: fun_Pr2067565481t_bool,Z: produc472769767le_alt] : ( hAPP_P1178790471t_bool(hAPP_f1356305429t_bool(hAPP_f1033183015t_bool(cOMBC_593569186l_bool,X),Y),Z) = hAPP_f52567537l_bool(hAPP_P38525833l_bool(X,Z),Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__prod_Itc__Arrow____Order____Mirabelle____effngqiqbs_) ).

tff(1426,negated_conjecture,
    ~ hBOOL(hAPP_f52567537l_bool(hAPP_P38525833l_bool(member1333168212le_alt,hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d)),hAPP_f2008608496t_bool(f,p))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(1427,plain,
    ~ hBOOL(hAPP_P1178790471t_bool(hAPP_f1356305429t_bool(hAPP_f1033183015t_bool(cOMBC_593569186l_bool,member1333168212le_alt),hAPP_f2008608496t_bool(f,p)),hAPP_A1299015393le_alt(hAPP_A1146194953le_alt(produc1590937303le_alt,c),d))),
    inference('REWRITE',[status(thm)],[1426,1401,theory(equality)]) ).

cnf(1547,plain,
    $false,
    inference('REWRITE',[status(thm)],[48,1427,1401,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SCT171_3 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.14/0.33  % Computer : n020.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 600
% 0.14/0.33  % DateTime : Sat Jul  2 00:37:30 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  * 
% 0.20/0.46  #<PACKAGE "SNARK-USER">
% 0.20/0.46  * 
% 0.20/0.46  SNARK-TPTP-OPTIONS
% 0.20/0.46  * 
% 0.20/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46   (USE-FACTORING :POS)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46  * 
% 0.20/0.46  "."
% 0.20/0.46  * 
% 0.20/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T00:37:30
% 0.20/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-02T00:37:30
% 1.32/1.48  
% 1.32/1.48  
% 1.32/1.48  #||
% 1.32/1.48  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.32/1.48  % SZS output start Refutation
% See solution above
% 1.32/1.48  ||#
% 1.32/1.48  
% 1.32/1.48  ; Summary of computation:
% 1.32/1.48  ;      2423 formulas have been input or derived (from 1 formulas).
% 1.32/1.48  ;      1547 (64%) were retained.  Of these,
% 1.32/1.48  ;          457 (30%) were simplified or subsumed later,
% 1.32/1.48  ;         1090 (70%) are still being kept.
% 1.32/1.48  ; 
% 1.32/1.48  ; Run time in seconds excluding printing time:
% 1.32/1.48  ;     0.387  38%   Read assertion file          (1 call)
% 1.32/1.48  ;     0.055   5%   Assert                       (1,279 calls)
% 1.32/1.48  ;     0.165  16%   Process new row              (2,108 calls)
% 1.32/1.48  ;     0.011   1%   Condensing                   (1,785 calls)
% 1.32/1.48  ;     0.191  19%   Forward subsumption          (1,785 calls)
% 1.32/1.48  ;     0.061   6%   Backward subsumption         (1,211 calls)
% 1.32/1.48  ;     0.014   1%   Clause clause subsumption    (1,892 calls)
% 1.32/1.48  ;     0.054   5%   Forward simplification       (2,108 calls)
% 1.32/1.48  ;     0.030   3%   Backward simplification      (1,458 calls)
% 1.32/1.48  ;     0.014   1%   Ordering                     (885 calls)
% 1.32/1.48  ;     0.001   0%   Sortal reasoning             (344 calls)
% 1.32/1.48  ;     0.001   0%   Purity testing               (1 call)
% 1.32/1.48  ;     0.030   3%   Other
% 1.32/1.48  ;     1.014        Total
% 1.32/1.48  ;     1.015        Real time
% 1.32/1.48  ; 
% 1.32/1.48  ; Term-hash-array has 6,629 terms in all.
% 1.32/1.48  ; Feature-vector-row-index has 878 entries (1,031 at peak, 1,211 added, 333 deleted).
% 1.32/1.48  ; Feature-vector-row-index has 13,576 nodes (15,849 at peak, 19,399 added, 5,823 deleted).
% 1.32/1.48  ;  Retrieved 2,840 possibly forward subsuming rows in 1,785 calls.
% 1.32/1.48  ;  Retrieved 776 possibly backward subsumed rows in 1,211 calls.
% 1.32/1.48  ; Path-index has 5,806 entries (6,167 at peak, 6,992 added, 1,186 deleted).
% 1.32/1.48  ; Path-index has 20,320 nodes (20,320 at peak, 21,977 added, 1,657 deleted).
% 1.32/1.48  ; Trie-index has 5,806 entries (6,167 at peak, 6,992 added, 1,186 deleted).
% 1.32/1.48  ; Trie-index has 16,140 nodes (16,897 at peak, 20,071 added, 3,931 deleted).
% 1.32/1.48  ; Retrieved 3,435 generalization terms in 8,083 calls.
% 1.32/1.48  ; Retrieved 881 instance terms in 289 calls.
% 1.32/1.48  ; 
% 1.32/1.48  ; The agenda of backward simplifiable rows to process has 225 entries:
% 1.32/1.48  ;   225 with value 0
% 1.32/1.48  ; The agenda of input rows to give has 1089 entries:
% 1.32/1.48  ;     3 with value 3              51 with value 27               1 with value 53
% 1.32/1.48  ;     2 with value 4              32 with value 28               3 with value 54
% 1.32/1.48  ;    11 with value 6              12 with value 29               3 with value 55
% 1.32/1.48  ;    13 with value 7               7 with value 30               4 with value 56
% 1.32/1.48  ;     5 with value 8               6 with value 31               3 with value 57
% 1.32/1.48  ;    49 with value 9              27 with value 32               2 with value 59
% 1.32/1.48  ;    48 with value 10              5 with value 33               5 with value 60
% 1.32/1.48  ;     8 with value 11             23 with value 34               2 with value 61
% 1.32/1.48  ;    11 with value 12             21 with value 35               1 with value 62
% 1.32/1.48  ;    46 with value 13              6 with value 36               5 with value 65
% 1.32/1.48  ;    10 with value 14              8 with value 37               1 with value 70
% 1.32/1.48  ;    20 with value 15              6 with value 38               4 with value 72
% 1.32/1.48  ;    21 with value 16              6 with value 39               1 with value 76
% 1.32/1.48  ;    26 with value 17              5 with value 41               4 with value 77
% 1.32/1.48  ;    45 with value 18              1 with value 42               1 with value 84
% 1.32/1.48  ;     1 with value 19             80 with value 43               1 with value 85
% 1.32/1.48  ;    15 with value 20             84 with value 45               1 with value 89
% 1.32/1.48  ;    13 with value 21              2 with value 46               4 with value 104
% 1.32/1.48  ;    51 with value 22             84 with value 48               4 with value 106
% 1.32/1.48  ;    17 with value 23              2 with value 49               4 with value 112
% 1.32/1.48  ;    39 with value 24             83 with value 50               4 with value 114
% 1.32/1.48  ;    12 with value 25              2 with value 51               6 with value 120
% 1.32/1.48  ;     5 with value 26              1 with value 52
% 1.32/1.48  Evaluation took:
% 1.32/1.48    1.017 seconds of real time
% 1.32/1.48    0.967603 seconds of user run time
% 1.32/1.48    0.049147 seconds of system run time
% 1.32/1.48    [Run times include 0.096 seconds GC run time.]
% 1.32/1.48    0 calls to %EVAL
% 1.32/1.48    0 page faults and
% 1.32/1.48    93,604,328 bytes consed.
% 1.32/1.48  :PROOF-FOUND
% 1.32/1.48  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T00:37:31
% 1.32/1.48  :PROOF-FOUND
% 1.32/1.48  * 
%------------------------------------------------------------------------------