TSTP Solution File: SWW478_3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWW478_3 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 : Thu Jul 21 01:25:17 EDT 2022

% Result   : Theorem 1.81s 2.00s
% Output   : Refutation 1.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    5 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :  106 (   1 equ)
%            Maximal formula atoms :    1 (  21 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  101 ( 101 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   35 (  33 usr;  19 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    3 (   0 sgn   3   !;   0   ?;   3   :)

% Comments : 
%------------------------------------------------------------------------------
tff(2,axiom,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a)))),red(p))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_InitBlockRed_I1_J) ).

tff(1858,axiom,
    ! [X: fun_Pr243362283l_bool,Y: fun_Pr691271849l_bool,Z: produc1102272487on_val] : ( hAPP_P282169671l_bool(hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,X),Y),Z) = hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(X,Z),Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc_) ).

tff(1871,negated_conjecture,
    ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a)))),red(p))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(1872,plain,
    ~ hBOOL(hAPP_P282169671l_bool(hAPP_f2036784149l_bool(hAPP_f1720452391l_bool(cOMBC_1021753250l_bool,member773094996on_val),red(p)),hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))))),
    inference('REWRITE',[status(thm)],[1871,1858,theory(equality)]) ).

cnf(1918,plain,
    $false,
    inference('REWRITE',[status(thm)],[2,1872,1858,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWW478_3 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun  4 16:49:52 EDT 2022
% 0.13/0.34  % 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 2022-06-04T16:49:52
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-04T16:49:52
% 1.81/2.00  
% 1.81/2.00  
% 1.81/2.00  #||
% 1.81/2.00  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.81/2.00  % SZS output start Refutation
% See solution above
% 1.81/2.00  ||#
% 1.81/2.00  
% 1.81/2.00  ; Summary of computation:
% 1.81/2.00  ;      2348 formulas have been input or derived (from 1 formulas).
% 1.81/2.00  ;      1918 (82%) were retained.  Of these,
% 1.81/2.00  ;          240 (13%) were simplified or subsumed later,
% 1.81/2.00  ;         1678 (87%) are still being kept.
% 1.81/2.00  ; 
% 1.81/2.00  ; Run time in seconds excluding printing time:
% 1.81/2.00  ;     0.491  32%   Read assertion file          (1 call)
% 1.81/2.00  ;     0.050   3%   Assert                       (1,350 calls)
% 1.81/2.00  ;     0.343  23%   Process new row              (2,156 calls)
% 1.81/2.00  ;     0.025   2%   Condensing                   (1,762 calls)
% 1.81/2.00  ;     0.288  19%   Forward subsumption          (1,762 calls)
% 1.81/2.00  ;     0.144   9%   Backward subsumption         (1,530 calls)
% 1.81/2.00  ;     0.008   1%   Clause clause subsumption    (650 calls)
% 1.81/2.00  ;     0.073   5%   Forward simplification       (2,156 calls)
% 1.81/2.00  ;     0.048   3%   Backward simplification      (1,904 calls)
% 1.81/2.00  ;     0.009   1%   Ordering                     (843 calls)
% 1.81/2.00  ;     0.001   0%   Sortal reasoning             (983 calls)
% 1.81/2.00  ;     0.001   0%   Purity testing               (1 call)
% 1.81/2.00  ;     0.040   3%   Other
% 1.81/2.00  ;     1.521        Total
% 1.81/2.00  ;     1.537        Real time
% 1.81/2.01  ; 
% 1.81/2.01  ; Term-hash-array has 9,852 terms in all.
% 1.81/2.01  ; Feature-vector-row-index has 1,312 entries (1,448 at peak, 1,530 added, 218 deleted).
% 1.81/2.01  ; Feature-vector-row-index has 21,326 nodes (24,226 at peak, 25,906 added, 4,580 deleted).
% 1.81/2.01  ;  Retrieved 717 possibly forward subsuming rows in 1,762 calls.
% 1.81/2.01  ;  Retrieved 253 possibly backward subsumed rows in 1,530 calls.
% 1.81/2.01  ; Path-index has 9,115 entries (9,150 at peak, 10,264 added, 1,149 deleted).
% 1.81/2.01  ; Path-index has 61,966 nodes (61,966 at peak, 64,688 added, 2,722 deleted).
% 1.81/2.01  ; Trie-index has 9,115 entries (9,150 at peak, 10,264 added, 1,149 deleted).
% 1.81/2.01  ; Trie-index has 45,726 nodes (46,431 at peak, 50,922 added, 5,196 deleted).
% 1.81/2.01  ; Retrieved 513 generalization terms in 8,210 calls.
% 1.81/2.01  ; Retrieved 894 instance terms in 506 calls.
% 1.81/2.01  ; 
% 1.81/2.01  ; The agenda of backward simplifiable rows to process has 175 entries:
% 1.81/2.01  ;   175 with value 0
% 1.81/2.01  ; The agenda of input rows to give has 1677 entries:
% 1.81/2.01  ;     2 with value 3              17 with value 42               8 with value 80
% 1.81/2.01  ;     5 with value 4               7 with value 43               3 with value 81
% 1.81/2.01  ;     6 with value 6              32 with value 44               2 with value 82
% 1.81/2.01  ;     8 with value 7               1 with value 45               2 with value 83
% 1.81/2.01  ;     3 with value 8              28 with value 46               2 with value 84
% 1.81/2.01  ;    14 with value 9              11 with value 47               1 with value 85
% 1.81/2.01  ;    16 with value 10             12 with value 48              32 with value 86
% 1.81/2.01  ;    19 with value 11              3 with value 49               2 with value 87
% 1.81/2.01  ;     7 with value 12             37 with value 50               4 with value 88
% 1.81/2.01  ;    74 with value 13              3 with value 51               5 with value 89
% 1.81/2.01  ;     6 with value 14              4 with value 52               4 with value 90
% 1.81/2.01  ;    32 with value 15              2 with value 53               2 with value 91
% 1.81/2.01  ;    16 with value 16              4 with value 54               4 with value 92
% 1.81/2.01  ;   138 with value 17              7 with value 55               2 with value 93
% 1.81/2.01  ;   105 with value 18              5 with value 56               3 with value 94
% 1.81/2.01  ;    40 with value 19             20 with value 57               4 with value 95
% 1.81/2.01  ;    82 with value 20              7 with value 58               1 with value 96
% 1.81/2.01  ;    69 with value 21             14 with value 59               4 with value 97
% 1.81/2.01  ;    66 with value 22             13 with value 60               4 with value 98
% 1.81/2.01  ;   105 with value 23              9 with value 61               1 with value 99
% 1.81/2.01  ;    56 with value 24             62 with value 62               3 with value 100
% 1.81/2.01  ;    16 with value 25             11 with value 63               2 with value 102
% 1.81/2.01  ;    33 with value 26              4 with value 64               1 with value 103
% 1.81/2.01  ;    28 with value 27              7 with value 65               1 with value 104
% 1.81/2.01  ;     8 with value 28              5 with value 66               1 with value 105
% 1.81/2.01  ;    22 with value 29              3 with value 67               2 with value 106
% 1.81/2.01  ;     8 with value 30              4 with value 68               1 with value 107
% 1.81/2.01  ;    19 with value 31              1 with value 69               1 with value 108
% 1.81/2.01  ;    16 with value 32              1 with value 70               1 with value 109
% 1.81/2.01  ;    28 with value 33              4 with value 71               2 with value 110
% 1.81/2.01  ;    29 with value 34              8 with value 72               2 with value 111
% 1.81/2.01  ;    12 with value 35              3 with value 73               1 with value 114
% 1.81/2.01  ;     9 with value 36              4 with value 74               1 with value 120
% 1.81/2.01  ;     4 with value 37             15 with value 75               1 with value 126
% 1.81/2.01  ;    13 with value 38              1 with value 76               1 with value 133
% 1.81/2.01  ;    14 with value 39             16 with value 77               2 with value 140
% 1.81/2.01  ;     7 with value 40             15 with value 78               1 with value 207
% 1.81/2.01  ;    11 with value 41             17 with value 79
% 1.81/2.01  Evaluation took:
% 1.81/2.01    1.54 seconds of real time
% 1.81/2.01    1.451682 seconds of user run time
% 1.81/2.01    0.07283 seconds of system run time
% 1.81/2.01    [Run times include 0.232 seconds GC run time.]
% 1.81/2.01    0 calls to %EVAL
% 1.81/2.01    0 page faults and
% 1.81/2.01    137,551,216 bytes consed.
% 1.81/2.01  :PROOF-FOUND
% 1.81/2.01  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-04T16:49:54
% 1.81/2.01  :PROOF-FOUND
% 1.81/2.01  * 
%------------------------------------------------------------------------------