TSTP Solution File: NUM544+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM544+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n013.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 14:11:32 EDT 2022

% Result   : Theorem 0.72s 0.90s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   12 (   8 unt;   0 nHn;  12 RR)
%            Number of literals    :   19 (   0 equ;   9 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-1 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(51,axiom,
    ( ~ aElementOf0(X,szNzAzT0)
    | ~ aElementOf0(Y,szNzAzT0)
    | ~ sdtlseqdt0(X,Y)
    | sdtlseqdt0(szszuzczcdt0(X),szszuzczcdt0(Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccLess) ).

cnf(92,hypothesis,
    ( ~ aElementOf0(X,xS)
    | aElementOf0(X,szNzAzT0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1986) ).

cnf(97,negated_conjecture,
    aElementOf0(szmzazxdt0(xS),xS),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(98,negated_conjecture,
    ( ~ aElementOf0(X,xS)
    | sdtlseqdt0(X,szmzazxdt0(xS)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(102,negated_conjecture,
    ( aElementOf0(X,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
    | ~ aElementOf0(X,szNzAzT0)
    | ~ sdtlseqdt0(szszuzczcdt0(X),szszuzczcdt0(szmzazxdt0(xS))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(103,negated_conjecture,
    aElementOf0('SKOLEMAAAW11',xS),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(104,negated_conjecture,
    ~ aElementOf0('SKOLEMAAAW11',slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(115,plain,
    aElementOf0('SKOLEMAAAW11',szNzAzT0),
    inference('HYPERRESOLVE',[status(thm)],[92,103]) ).

cnf(116,plain,
    aElementOf0(szmzazxdt0(xS),szNzAzT0),
    inference('HYPERRESOLVE',[status(thm)],[92,97]) ).

cnf(130,plain,
    sdtlseqdt0('SKOLEMAAAW11',szmzazxdt0(xS)),
    inference('HYPERRESOLVE',[status(thm)],[98,103]) ).

cnf(572,plain,
    ~ sdtlseqdt0(szszuzczcdt0('SKOLEMAAAW11'),szszuzczcdt0(szmzazxdt0(xS))),
    inference('UR-RESOLVE',[status(thm)],[102,115,104]) ).

cnf(1018,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[51,130,115,116]),572]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM544+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.12/0.35  % Computer : n013.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 600
% 0.12/0.35  % DateTime : Tue Jul  5 02:56:44 EDT 2022
% 0.12/0.35  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T02:56:45
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-05T02:56:45
% 0.21/0.51  WARNING:
% 0.21/0.51     |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.72/0.90  
% 0.72/0.90  
% 0.72/0.90  #||
% 0.72/0.90  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.72/0.90  % SZS output start Refutation
% See solution above
% 0.72/0.90  ||#
% 0.72/0.90  
% 0.72/0.90  ; Summary of computation:
% 0.72/0.90  ;      1837 formulas have been input or derived (from 140 formulas).
% 0.72/0.90  ;      1018 (55%) were retained.  Of these,
% 0.72/0.90  ;           98 (10%) were simplified or subsumed later,
% 0.72/0.90  ;          920 (90%) are still being kept.
% 0.72/0.90  ; 
% 0.72/0.90  ; Run time in seconds excluding printing time:
% 0.72/0.90  ;     0.015   4%   Read assertion file          (1 call)
% 0.72/0.90  ;     0.003   1%   Assert                       (56 calls)
% 0.72/0.90  ;     0.084  21%   Process new row              (1,698 calls)
% 0.72/0.90  ;     0.170  42%   Resolution                   (278 calls)
% 0.72/0.90  ;     0.001   0%   Paramodulation               (139 calls)
% 0.72/0.90  ;     0.002   0%   Condensing                   (576 calls)
% 0.72/0.90  ;     0.042  10%   Forward subsumption          (576 calls)
% 0.72/0.90  ;     0.017   4%   Backward subsumption         (553 calls)
% 0.72/0.90  ;     0.000   0%   Clause clause subsumption    (182 calls)
% 0.72/0.90  ;     0.027   7%   Forward simplification       (1,697 calls)
% 0.72/0.90  ;     0.008   2%   Backward simplification      (1,018 calls)
% 0.72/0.90  ;     0.003   1%   Ordering                     (1,051 calls)
% 0.72/0.90  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.72/0.90  ;     0.001   0%   Purity testing               (1 call)
% 0.72/0.90  ;     0.033   8%   Other
% 0.72/0.90  ;     0.406        Total
% 0.72/0.90  ;     0.421        Real time
% 0.72/0.90  ; 
% 0.72/0.90  ; Term-hash-array has 1,693 terms in all.
% 0.72/0.90  ; Feature-vector-row-index has 480 entries (481 at peak, 553 added, 73 deleted).
% 0.72/0.90  ; Feature-vector-row-index has 4,164 nodes (4,180 at peak, 4,593 added, 429 deleted).
% 0.72/0.90  ;  Retrieved 166 possibly forward subsuming rows in 576 calls.
% 0.72/0.90  ;  Retrieved 84 possibly backward subsumed rows in 553 calls.
% 0.72/0.90  ; Path-index has 1,654 entries (1,654 at peak, 1,816 added, 162 deleted).
% 0.72/0.90  ; Path-index has 1,039 nodes (1,039 at peak, 1,071 added, 32 deleted).
% 0.72/0.90  ; Trie-index has 1,654 entries (1,654 at peak, 1,816 added, 162 deleted).
% 0.72/0.90  ; Trie-index has 3,699 nodes (3,699 at peak, 4,046 added, 347 deleted).
% 0.72/0.90  ; Retrieved 1,054 generalization terms in 5,034 calls.
% 0.72/0.90  ; Retrieved 464 instance terms in 464 calls.
% 0.72/0.90  ; Retrieved 316,710 unifiable terms in 18,324 calls.
% 0.72/0.90  ; 
% 0.72/0.90  ; The agenda of rows to process has 2 entries:
% 0.72/0.90  ;     2 with value 11
% 0.72/0.90  ; The agenda of rows to give has 780 entries:
% 0.72/0.90  ;    12 with value (4 7)           6 with value (4 23)           1 with value (4 39)
% 0.72/0.90  ;    54 with value (4 8)          20 with value (4 24)           4 with value (4 40)
% 0.72/0.90  ;    69 with value (4 9)          12 with value (4 25)          15 with value (4 42)
% 0.72/0.90  ;    72 with value (4 10)          1 with value (4 26)          10 with value (4 44)
% 0.72/0.90  ;    55 with value (4 11)          2 with value (4 27)          16 with value (4 45)
% 0.72/0.90  ;    43 with value (4 12)          6 with value (4 28)          15 with value (4 47)
% 0.72/0.90  ;    18 with value (4 13)          9 with value (4 29)           8 with value (4 48)
% 0.72/0.90  ;    25 with value (4 14)         28 with value (4 30)           3 with value (4 49)
% 0.72/0.90  ;    53 with value (4 15)         14 with value (4 31)           6 with value (4 51)
% 0.72/0.90  ;    29 with value (4 16)         22 with value (4 32)           2 with value (4 54)
% 0.72/0.90  ;    36 with value (4 17)         16 with value (4 33)           2 with value (4 55)
% 0.72/0.90  ;    16 with value (4 18)         11 with value (4 34)           3 with value (4 57)
% 0.72/0.90  ;     9 with value (4 19)          6 with value (4 35)           3 with value (4 59)
% 0.72/0.90  ;     6 with value (4 20)          3 with value (4 36)           6 with value (4 60)
% 0.72/0.90  ;    17 with value (4 21)          4 with value (4 38)           6 with value (4 65)
% 0.72/0.90  ;     6 with value (4 22)
% 0.72/0.90  Evaluation took:
% 0.72/0.90    0.422 seconds of real time
% 0.72/0.90    0.378557 seconds of user run time
% 0.72/0.90    0.029262 seconds of system run time
% 0.72/0.90    [Run times include 0.017 seconds GC run time.]
% 0.72/0.90    0 calls to %EVAL
% 0.72/0.90    0 page faults and
% 0.72/0.90    27,182,520 bytes consed.
% 0.72/0.90  :PROOF-FOUND
% 0.72/0.90  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T02:56:45
% 0.72/0.90  :PROOF-FOUND
% 0.72/0.90  * 
%------------------------------------------------------------------------------