TSTP Solution File: SWW204+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWW204+1 : TPTP v8.1.0. Released v5.2.0.
% 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 01:24:41 EDT 2022

% Result   : Theorem 18.92s 19.10s
% Output   : Refutation 18.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   4 RR)
%            Number of literals    :   10 (   0 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :    7 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X))),v_r)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_assms) ).

cnf(8,axiom,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X),Y))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,Y),Z))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X),Z)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__le__trans) ).

cnf(25,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X)
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X,Y))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__ge__zero) ).

cnf(1448,axiom,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).

cnf(1533,negated_conjecture,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

cnf(2075,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X))),
    inference('HYPERRESOLVE',[status(thm)],[25,1448]) ).

cnf(7172,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[8,4,1533]),2075]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWW204+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n027.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sat Jun  4 10:41:07 EDT 2022
% 0.13/0.36  % CPUTime  : 
% 0.20/0.48  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.49  * 
% 0.20/0.49  * 
% 0.20/0.50  #<PACKAGE "SNARK-USER">
% 0.20/0.50  * 
% 0.20/0.50  SNARK-TPTP-OPTIONS
% 0.20/0.50  * 
% 0.20/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.50   (USE-FACTORING :POS)
% 0.20/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.50  * 
% 0.20/0.50  "."
% 0.20/0.50  * 
% 0.20/0.50  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-04T10:41:07
% 0.20/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-04T10:41:07
% 0.56/0.80  WARNING:
% 0.56/0.80     |class_Lattices_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.56/0.80  WARNING:
% 0.56/0.80     |class_Groups_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 18.92/19.10  
% 18.92/19.10  
% 18.92/19.10  #||
% 18.92/19.10  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.92/19.10  % SZS output start Refutation
% See solution above
% 18.92/19.11  ||#
% 18.92/19.11  
% 18.92/19.11  ; Summary of computation:
% 18.92/19.11  ;    237848 formulas have been input or derived (from 824 formulas).
% 18.92/19.11  ;      7172 ( 3%) were retained.  Of these,
% 18.92/19.11  ;          403 ( 6%) were simplified or subsumed later,
% 18.92/19.11  ;         6769 (94%) are still being kept.
% 18.92/19.11  ; 
% 18.92/19.11  ; Run time in seconds excluding printing time:
% 18.92/19.11  ;     0.256   1%   Read assertion file          (1 call)
% 18.92/19.11  ;     0.032   0%   Assert                       (1,264 calls)
% 18.92/19.11  ;     1.345   7%   Process new row              (228,671 calls)
% 18.92/19.11  ;     4.704  25%   Resolution                   (1,646 calls)
% 18.92/19.11  ;     0.128   1%   Paramodulation               (823 calls)
% 18.92/19.11  ;     0.000   0%   Factoring                    (15 calls)
% 18.92/19.11  ;     0.340   2%   Condensing                   (21,704 calls)
% 18.92/19.11  ;     1.663   9%   Forward subsumption          (21,704 calls)
% 18.92/19.11  ;     0.284   2%   Backward subsumption         (3,500 calls)
% 18.92/19.11  ;     0.308   2%   Clause clause subsumption    (27,136 calls)
% 18.92/19.11  ;     7.340  39%   Forward simplification       (224,968 calls)
% 18.92/19.11  ;     0.101   1%   Backward simplification      (7,124 calls)
% 18.92/19.11  ;     1.355   7%   Ordering                     (438,605 calls)
% 18.92/19.11  ;     0.001   0%   Sortal reasoning             (32 calls)
% 18.92/19.11  ;     0.004   0%   Purity testing               (1 call)
% 18.92/19.11  ;     0.745   4%   Other
% 18.92/19.11  ;    18.606        Total
% 18.92/19.11  ;    18.606        Real time
% 18.92/19.11  ; 
% 18.92/19.11  ; Term-hash-array has 20,002 terms in all.
% 18.92/19.11  ; Feature-vector-row-index has 3,261 entries (3,261 at peak, 3,500 added, 239 deleted).
% 18.92/19.11  ; Feature-vector-row-index has 29,855 nodes (29,855 at peak, 32,609 added, 2,754 deleted).
% 18.92/19.11  ;  Retrieved 98,474 possibly forward subsuming rows in 21,704 calls.
% 18.92/19.11  ;  Retrieved 2,584 possibly backward subsumed rows in 3,500 calls.
% 18.92/19.11  ; Path-index has 19,622 entries (19,622 at peak, 20,360 added, 738 deleted).
% 18.92/19.11  ; Path-index has 47,498 nodes (47,498 at peak, 48,274 added, 776 deleted).
% 18.92/19.11  ; Trie-index has 19,622 entries (19,622 at peak, 20,360 added, 738 deleted).
% 18.92/19.11  ; Trie-index has 108,290 nodes (108,290 at peak, 111,167 added, 2,877 deleted).
% 18.92/19.11  ; Retrieved 1,100,212 generalization terms in 2,082,270 calls.
% 18.92/19.11  ; Retrieved 7,447 instance terms in 5,160 calls.
% 18.92/19.11  ; Retrieved 5,362,957 unifiable terms in 63,919 calls.
% 18.92/19.11  ; 
% 18.92/19.11  ; The agenda of rows to process has 159 entries:
% 18.92/19.11  ;     7 with value 16              8 with value 22              16 with value 28
% 18.92/19.11  ;     5 with value 17             32 with value 23              24 with value 34
% 18.92/19.11  ;    10 with value 18              4 with value 24               2 with value 36
% 18.92/19.11  ;    17 with value 19             12 with value 25               2 with value 37
% 18.92/19.11  ;    12 with value 21              8 with value 27
% 18.92/19.11  ; The agenda of input rows to give has 643 entries:
% 18.92/19.11  ;    26 with value 27             22 with value 43               2 with value 60
% 18.92/19.11  ;    25 with value 28             15 with value 44               5 with value 63
% 18.92/19.11  ;    40 with value 29             32 with value 45               7 with value 64
% 18.92/19.11  ;    22 with value 30              9 with value 46               6 with value 65
% 18.92/19.11  ;    42 with value 31              8 with value 47               2 with value 66
% 18.92/19.11  ;    30 with value 32              6 with value 48               1 with value 67
% 18.92/19.11  ;    34 with value 33              4 with value 49               1 with value 68
% 18.92/19.11  ;    50 with value 34              5 with value 50               4 with value 69
% 18.92/19.11  ;    36 with value 35              3 with value 51               4 with value 70
% 18.92/19.11  ;    26 with value 36              7 with value 52               1 with value 71
% 18.92/19.11  ;    19 with value 37             10 with value 53               2 with value 72
% 18.92/19.11  ;    17 with value 38              4 with value 54               2 with value 85
% 18.92/19.11  ;    24 with value 39              8 with value 55               1 with value 87
% 18.92/19.11  ;    12 with value 40              2 with value 56               1 with value 102
% 18.92/19.11  ;    19 with value 41              4 with value 57               1 with value 103
% 18.92/19.11  ;    40 with value 42              2 with value 58
% 18.92/19.11  ; The agenda of rows to give has 5320 entries:
% 18.92/19.11  ;     1 with value (4 4)         190 with value (4 24)          83 with value (4 43)
% 18.92/19.11  ;     2 with value (4 5)         139 with value (4 25)          63 with value (4 44)
% 18.92/19.11  ;   160 with value (4 6)         228 with value (4 26)          25 with value (4 45)
% 18.92/19.11  ;    20 with value (4 7)         191 with value (4 27)          68 with value (4 46)
% 18.92/19.11  ;    10 with value (4 8)         210 with value (4 28)          22 with value (4 47)
% 18.92/19.11  ;     4 with value (4 9)         223 with value (4 29)          24 with value (4 48)
% 18.92/19.11  ;    23 with value (4 10)        257 with value (4 30)          11 with value (4 49)
% 18.92/19.11  ;    26 with value (4 11)        157 with value (4 31)          28 with value (4 50)
% 18.92/19.11  ;    58 with value (4 12)        155 with value (4 32)          27 with value (4 51)
% 18.92/19.11  ;    69 with value (4 13)        322 with value (4 33)          43 with value (4 52)
% 18.92/19.11  ;    60 with value (4 14)        330 with value (4 34)           2 with value (4 53)
% 18.92/19.11  ;    70 with value (4 15)        192 with value (4 35)          10 with value (4 54)
% 18.92/19.11  ;    34 with value (4 16)        147 with value (4 36)          10 with value (4 55)
% 18.92/19.11  ;    44 with value (4 17)         80 with value (4 37)           8 with value (4 56)
% 18.92/19.11  ;    79 with value (4 18)        202 with value (4 38)          14 with value (4 57)
% 18.92/19.11  ;   119 with value (4 19)        116 with value (4 39)          31 with value (4 58)
% 18.92/19.11  ;   105 with value (4 20)         88 with value (4 40)           2 with value (4 60)
% 18.92/19.11  ;   117 with value (4 21)         81 with value (4 41)           1 with value (4 61)
% 18.92/19.11  ;   131 with value (4 22)         91 with value (4 42)           2 with value (4 64)
% 18.92/19.11  ;   315 with value (4 23)
% 18.92/19.11  Evaluation took:
% 18.92/19.11    18.611 seconds of real time
% 18.92/19.11    17.06593 seconds of user run time
% 18.92/19.11    1.54618 seconds of system run time
% 18.92/19.11    [Run times include 2.215 seconds GC run time.]
% 18.92/19.11    0 calls to %EVAL
% 18.92/19.11    0 page faults and
% 18.92/19.11    1,361,975,800 bytes consed.
% 18.92/19.11  :PROOF-FOUND
% 18.92/19.11  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-04T10:41:25
% 18.92/19.11  :PROOF-FOUND
% 18.92/19.11  * 
%------------------------------------------------------------------------------