TSTP Solution File: NUM561+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM561+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n010.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 14:11:42 EDT 2022

% Result   : Theorem 0.41s 0.57s
% Output   : Refutation 0.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    9 (   6 unt;   0 nHn;   9 RR)
%            Number of literals    :   16 (   2 equ;   9 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(13,axiom,
    ( ~ aSet0(X)
    | aSubsetOf0(X,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).

cnf(108,axiom,
    ( ~ aFunction0(X)
    | aSet0(szDzozmdt0(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDomSet) ).

cnf(121,axiom,
    ( ~ aFunction0(X)
    | ~ aSubsetOf0(Y,szDzozmdt0(X))
    | Z != sdtlcdtrc0(X,Y)
    | aElementOf0(U,Z)
    | ~ aElementOf0(V,Y)
    | sdtlpdtrp0(X,V) != U ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSImg) ).

cnf(125,hypothesis,
    aFunction0(xF),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2911) ).

cnf(126,hypothesis,
    aElementOf0(xx,szDzozmdt0(xF)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2911_02) ).

cnf(127,negated_conjecture,
    ~ aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(135,plain,
    aSet0(szDzozmdt0(xF)),
    inference('HYPERRESOLVE',[status(thm)],[108,125]) ).

cnf(150,plain,
    ~ aSubsetOf0(szDzozmdt0(xF),szDzozmdt0(xF)),
    inference('UR-RESOLVE',[status(thm)],[121,125,127,126,theory(equality),theory(equality)]) ).

cnf(260,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[13,135]),150]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : NUM561+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n010.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jul  5 18:40:47 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45  * 
% 0.20/0.45  * 
% 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 2022-07-05T18:40:47
% 0.20/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-07-05T18:40:47
% 0.20/0.48  WARNING:
% 0.20/0.48     |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.41/0.57  
% 0.41/0.57  
% 0.41/0.57  #||
% 0.41/0.57  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.57  % SZS output start Refutation
% See solution above
% 0.41/0.57  ||#
% 0.41/0.57  
% 0.41/0.57  ; Summary of computation:
% 0.41/0.57  ;       520 formulas have been input or derived (from 138 formulas).
% 0.41/0.57  ;       260 (50%) were retained.  Of these,
% 0.41/0.57  ;           17 ( 7%) were simplified or subsumed later,
% 0.41/0.57  ;          243 (93%) are still being kept.
% 0.41/0.57  ; 
% 0.41/0.57  ; Run time in seconds excluding printing time:
% 0.41/0.57  ;     0.012  11%   Read assertion file          (1 call)
% 0.41/0.57  ;     0.004   4%   Assert                       (71 calls)
% 0.41/0.57  ;     0.017  15%   Process new row              (391 calls)
% 0.41/0.57  ;     0.042  37%   Resolution                   (274 calls)
% 0.41/0.57  ;     0.004   4%   Paramodulation               (137 calls)
% 0.41/0.57  ;     0.007   6%   Condensing                   (167 calls)
% 0.41/0.57  ;     0.001   1%   Forward subsumption          (167 calls)
% 0.41/0.57  ;     0.002   2%   Backward subsumption         (159 calls)
% 0.41/0.57  ;     0.000   0%   Clause clause subsumption    (49 calls)
% 0.41/0.57  ;     0.004   4%   Forward simplification       (390 calls)
% 0.41/0.57  ;     0.004   4%   Backward simplification      (260 calls)
% 0.41/0.57  ;     0.000   0%   Ordering                     (173 calls)
% 0.41/0.57  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.41/0.57  ;     0.000   0%   Purity testing               (1 call)
% 0.41/0.57  ;     0.016  14%   Other
% 0.41/0.57  ;     0.113        Total
% 0.41/0.57  ;     0.114        Real time
% 0.41/0.57  ; 
% 0.41/0.57  ; Term-hash-array has 414 terms in all.
% 0.41/0.57  ; Feature-vector-row-index has 150 entries (150 at peak, 159 added, 9 deleted).
% 0.41/0.57  ; Feature-vector-row-index has 865 nodes (865 at peak, 923 added, 58 deleted).
% 0.41/0.57  ;  Retrieved 66 possibly forward subsuming rows in 167 calls.
% 0.41/0.57  ;  Retrieved 23 possibly backward subsumed rows in 159 calls.
% 0.41/0.57  ; Path-index has 409 entries (409 at peak, 432 added, 23 deleted).
% 0.41/0.57  ; Path-index has 883 nodes (883 at peak, 899 added, 16 deleted).
% 0.41/0.57  ; Trie-index has 409 entries (409 at peak, 432 added, 23 deleted).
% 0.41/0.57  ; Trie-index has 1,007 nodes (1,007 at peak, 1,066 added, 59 deleted).
% 0.41/0.57  ; Retrieved 203 generalization terms in 791 calls.
% 0.41/0.57  ; Retrieved 100 instance terms in 100 calls.
% 0.41/0.57  ; Retrieved 67,384 unifiable terms in 4,840 calls.
% 0.41/0.57  ; 
% 0.41/0.57  ; The agenda of rows to process has 94 entries:
% 0.41/0.57  ;     2 with value 9               2 with value 21               9 with value 34
% 0.41/0.57  ;     6 with value 10              4 with value 24               6 with value 35
% 0.41/0.57  ;     9 with value 11              1 with value 26               1 with value 36
% 0.41/0.57  ;     1 with value 12              1 with value 28               6 with value 37
% 0.41/0.57  ;     3 with value 13              9 with value 30               3 with value 39
% 0.41/0.57  ;     1 with value 15              4 with value 31               2 with value 41
% 0.41/0.57  ;     3 with value 17              4 with value 32               2 with value 42
% 0.41/0.57  ;     2 with value 18              8 with value 33               4 with value 47
% 0.41/0.57  ;     1 with value 20
% 0.41/0.57  ; The agenda of rows to give has 105 entries:
% 0.41/0.57  ;     1 with value (4 5)           1 with value (4 14)           1 with value (4 23)
% 0.41/0.57  ;     3 with value (4 6)           4 with value (4 15)           3 with value (4 24)
% 0.41/0.57  ;     9 with value (4 7)           1 with value (4 16)           4 with value (4 25)
% 0.41/0.57  ;    17 with value (4 8)           2 with value (4 17)           2 with value (4 26)
% 0.41/0.57  ;    13 with value (4 9)           2 with value (4 18)           1 with value (4 27)
% 0.41/0.57  ;    12 with value (4 10)          1 with value (4 19)           1 with value (4 28)
% 0.41/0.57  ;     7 with value (4 11)          2 with value (4 20)           2 with value (4 30)
% 0.41/0.57  ;     8 with value (4 12)          2 with value (4 21)           3 with value (4 32)
% 0.41/0.57  ;     1 with value (4 13)          1 with value (4 22)           1 with value (4 35)
% 0.41/0.57  Evaluation took:
% 0.41/0.57    0.114 seconds of real time
% 0.41/0.57    0.102794 seconds of user run time
% 0.41/0.57    0.01199 seconds of system run time
% 0.41/0.57    0 calls to %EVAL
% 0.41/0.57    0 page faults and
% 0.41/0.57    7,333,080 bytes consed.
% 0.41/0.57  :PROOF-FOUND
% 0.41/0.57  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T18:40:47
% 0.41/0.57  :PROOF-FOUND
% 0.41/0.57  * 
%------------------------------------------------------------------------------