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 : n019.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 1.52s 1.75s
% Output   : Refutation 1.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   5 unt;   0 nHn;   4 RR)
%            Number of literals    :    5 (   1 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   29 (  29 usr;  15 con; 0-3 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(141,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) ).

cnf(2010,axiom,
    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_) ).

cnf(2023,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) ).

cnf(2024,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)],[2023,2010,theory(equality)]) ).

cnf(2070,plain,
    $false,
    inference('REWRITE',[status(thm)],[141,2024,2010,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWW478+3 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n019.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 11:30:10 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 2022-06-04T11:30:10
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-04T11:30:10
% 0.70/0.89  
% 0.72/0.91  ; Recognized associativity assertion (= (|map_ad325961431ar_val| ?X (|map_ad325961431ar_val| ?Y ?Z)) (|map_ad325961431ar_val| (|map_ad325961431ar_val| ?X ?Y) ?Z)).
% 0.72/0.92  ; Recognized commutativity assertion (= (|semila919158006r_bool| ?X ?Y) (|semila919158006r_bool| ?Y ?X)).
% 0.76/0.92  WARNING:
% 0.76/0.92     |is_fun1083000568p_bool| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.52/1.75  ; Declaring semila919158006r_bool to be commutative.
% 1.52/1.75  
% 1.52/1.75  #||
% 1.52/1.75  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.52/1.75  % SZS output start Refutation
% See solution above
% 1.52/1.75  ||#
% 1.52/1.75  
% 1.52/1.75  ; Summary of computation:
% 1.52/1.75  ;      2508 formulas have been input or derived (from 1 formulas).
% 1.52/1.75  ;      2070 (83%) were retained.  Of these,
% 1.52/1.75  ;          237 (11%) were simplified or subsumed later,
% 1.52/1.75  ;         1833 (89%) are still being kept.
% 1.52/1.75  ; 
% 1.52/1.75  ; Run time in seconds excluding printing time:
% 1.52/1.75  ;     0.372  29%   Read assertion file          (1 call)
% 1.52/1.75  ;     0.060   5%   Assert                       (1,491 calls)
% 1.52/1.75  ;     0.319  25%   Process new row              (2,319 calls)
% 1.52/1.75  ;     0.033   3%   Condensing                   (1,774 calls)
% 1.52/1.75  ;     0.257  20%   Forward subsumption          (1,774 calls)
% 1.52/1.75  ;     0.093   7%   Backward subsumption         (1,541 calls)
% 1.52/1.75  ;     0.011   1%   Clause clause subsumption    (643 calls)
% 1.52/1.75  ;     0.035   3%   Forward simplification       (2,311 calls)
% 1.52/1.75  ;     0.028   2%   Backward simplification      (2,057 calls)
% 1.52/1.75  ;     0.035   3%   Ordering                     (830 calls)
% 1.52/1.75  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.52/1.75  ;     0.002   0%   Purity testing               (1 call)
% 1.52/1.75  ;     0.035   3%   Other
% 1.52/1.75  ;     1.280        Total
% 1.52/1.75  ;     1.282        Real time
% 1.52/1.75  ; 
% 1.52/1.75  ; Term-hash-array has 9,945 terms in all.
% 1.52/1.75  ; Feature-vector-row-index has 1,325 entries (1,461 at peak, 1,541 added, 216 deleted).
% 1.52/1.75  ; Feature-vector-row-index has 21,794 nodes (24,542 at peak, 26,374 added, 4,580 deleted).
% 1.52/1.75  ;  Retrieved 1,738 possibly forward subsuming rows in 1,774 calls.
% 1.52/1.75  ;  Retrieved 637 possibly backward subsumed rows in 1,541 calls.
% 1.52/1.75  ; Path-index has 9,236 entries (9,270 at peak, 10,356 added, 1,120 deleted).
% 1.52/1.75  ; Path-index has 62,774 nodes (62,774 at peak, 65,489 added, 2,715 deleted).
% 1.52/1.75  ; Trie-index has 9,236 entries (9,270 at peak, 10,356 added, 1,120 deleted).
% 1.52/1.75  ; Trie-index has 46,293 nodes (46,998 at peak, 51,483 added, 5,190 deleted).
% 1.52/1.75  ; Retrieved 502 generalization terms in 8,441 calls.
% 1.52/1.75  ; Retrieved 1,029 instance terms in 647 calls.
% 1.52/1.75  ; 
% 1.52/1.75  ; The agenda of backward simplifiable rows to process has 173 entries:
% 1.52/1.75  ;   173 with value 0
% 1.52/1.75  ; The agenda of input rows to give has 1832 entries:
% 1.52/1.75  ;     6 with value 3              11 with value 41              17 with value 79
% 1.52/1.75  ;     5 with value 4              16 with value 42               8 with value 80
% 1.52/1.76  ;    11 with value 5               7 with value 43               3 with value 81
% 1.52/1.76  ;   127 with value 6              30 with value 44               2 with value 82
% 1.52/1.76  ;    10 with value 7               1 with value 45               2 with value 83
% 1.52/1.76  ;     2 with value 8              26 with value 46               2 with value 84
% 1.52/1.76  ;    19 with value 9              11 with value 47               1 with value 85
% 1.52/1.76  ;    17 with value 10             13 with value 48              32 with value 86
% 1.52/1.76  ;    28 with value 11              4 with value 49               2 with value 87
% 1.52/1.76  ;     7 with value 12             37 with value 50               4 with value 88
% 1.52/1.76  ;    74 with value 13              3 with value 51               5 with value 89
% 1.52/1.76  ;     6 with value 14             10 with value 52               4 with value 90
% 1.52/1.76  ;    34 with value 15              2 with value 53               2 with value 91
% 1.52/1.76  ;    16 with value 16              4 with value 54               4 with value 92
% 1.52/1.76  ;   138 with value 17              7 with value 55               2 with value 93
% 1.52/1.76  ;   101 with value 18              5 with value 56               3 with value 94
% 1.52/1.76  ;    40 with value 19             19 with value 57               4 with value 95
% 1.52/1.76  ;    79 with value 20              7 with value 58               1 with value 96
% 1.52/1.76  ;    69 with value 21             14 with value 59               4 with value 97
% 1.52/1.76  ;    64 with value 22             13 with value 60               4 with value 98
% 1.52/1.76  ;   107 with value 23              9 with value 61               1 with value 99
% 1.52/1.76  ;    58 with value 24             62 with value 62               3 with value 100
% 1.52/1.76  ;    16 with value 25             12 with value 63               2 with value 102
% 1.52/1.76  ;    34 with value 26              4 with value 64               1 with value 103
% 1.52/1.76  ;    28 with value 27              7 with value 65               1 with value 104
% 1.52/1.76  ;     9 with value 28              5 with value 66               1 with value 105
% 1.52/1.76  ;    22 with value 29              3 with value 67               2 with value 106
% 1.52/1.76  ;    10 with value 30              4 with value 68               1 with value 107
% 1.52/1.76  ;    19 with value 31              1 with value 69               1 with value 108
% 1.52/1.76  ;    16 with value 32              1 with value 70               1 with value 109
% 1.52/1.76  ;    28 with value 33              4 with value 71               2 with value 110
% 1.52/1.76  ;    28 with value 34              8 with value 72               2 with value 111
% 1.52/1.76  ;    12 with value 35              3 with value 73               1 with value 114
% 1.52/1.76  ;     9 with value 36              4 with value 74               1 with value 120
% 1.52/1.76  ;     5 with value 37             15 with value 75               1 with value 126
% 1.52/1.76  ;    13 with value 38              1 with value 76               1 with value 133
% 1.52/1.76  ;    13 with value 39             16 with value 77               2 with value 140
% 1.52/1.76  ;     7 with value 40             15 with value 78               1 with value 207
% 1.52/1.76  Evaluation took:
% 1.52/1.76    1.284 seconds of real time
% 1.52/1.76    1.220904 seconds of user run time
% 1.52/1.76    0.063108 seconds of system run time
% 1.52/1.76    [Run times include 0.202 seconds GC run time.]
% 1.52/1.76    0 calls to %EVAL
% 1.52/1.76    0 page faults and
% 1.52/1.76    128,282,832 bytes consed.
% 1.52/1.76  :PROOF-FOUND
% 1.52/1.76  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-04T11:30:11
% 1.52/1.76  :PROOF-FOUND
% 1.52/1.76  * 
%------------------------------------------------------------------------------