TSTP Solution File: NUM605+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM605+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n005.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 14:12:07 EDT 2022

% Result   : Theorem 0.44s 0.61s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   12 (  10 unt;   0 nHn;  12 RR)
%            Number of literals    :   17 (   7 equ;   6 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(42,axiom,
    aElementOf0(sz00,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).

cnf(86,axiom,
    slbdtrb0(sz00) = slcrc0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegZero) ).

cnf(94,axiom,
    ( ~ aElementOf0(X,szNzAzT0)
    | sbrdtbr0(slbdtrb0(X)) = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardSeg) ).

cnf(97,axiom,
    ( ~ aSet0(X)
    | ~ aElementOf0(Y,szNzAzT0)
    | Z != slbdtsldtrb0(X,Y)
    | ~ aElementOf0(U,Z)
    | sbrdtbr0(U) = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).

cnf(140,hypothesis,
    aElementOf0(xK,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3418) ).

cnf(150,hypothesis,
    xK != sz00,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3462) ).

cnf(187,hypothesis,
    aSet0(xO),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4891) ).

cnf(194,hypothesis,
    aElementOf0(xQ,slbdtsldtrb0(xO,xK)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5078) ).

cnf(195,negated_conjecture,
    xQ = slcrc0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(196,plain,
    aElementOf0(slcrc0,slbdtsldtrb0(xO,xK)),
    inference('REWRITE',[status(thm)],[194,195,theory(equality)]) ).

cnf(259,plain,
    sbrdtbr0(slcrc0) = sz00,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[94,42]),86,theory(equality)]) ).

cnf(351,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[97,187,140,196,theory(equality)]),150,259,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : NUM605+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n005.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 : Tue Jul  5 09:14:07 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T09:14:07
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-05T09:14:07
% 0.44/0.61  
% 0.44/0.61  
% 0.44/0.61  #||
% 0.44/0.61  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/0.61  % SZS output start Refutation
% See solution above
% 0.44/0.61  ||#
% 0.44/0.61  
% 0.44/0.61  ; Summary of computation:
% 0.44/0.61  ;       520 formulas have been input or derived (from 132 formulas).
% 0.44/0.61  ;       351 (68%) were retained.  Of these,
% 0.44/0.61  ;            3 ( 1%) were simplified or subsumed later,
% 0.44/0.61  ;          348 (99%) are still being kept.
% 0.44/0.61  ; 
% 0.44/0.61  ; Run time in seconds excluding printing time:
% 0.44/0.61  ;     0.026  19%   Read assertion file          (1 call)
% 0.44/0.61  ;     0.006   4%   Assert                       (100 calls)
% 0.44/0.61  ;     0.032  23%   Process new row              (498 calls)
% 0.44/0.61  ;     0.020  15%   Resolution                   (262 calls)
% 0.44/0.61  ;     0.002   1%   Paramodulation               (131 calls)
% 0.44/0.61  ;     0.003   2%   Condensing                   (209 calls)
% 0.44/0.61  ;     0.007   5%   Forward subsumption          (209 calls)
% 0.44/0.61  ;     0.004   3%   Backward subsumption         (203 calls)
% 0.44/0.61  ;     0.000   0%   Clause clause subsumption    (48 calls)
% 0.44/0.61  ;     0.007   5%   Forward simplification       (498 calls)
% 0.44/0.61  ;     0.002   1%   Backward simplification      (349 calls)
% 0.44/0.61  ;     0.000   0%   Ordering                     (144 calls)
% 0.44/0.61  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.44/0.61  ;     0.001   1%   Purity testing               (1 call)
% 0.44/0.61  ;     0.027  20%   Other
% 0.44/0.61  ;     0.137        Total
% 0.44/0.61  ;     0.138        Real time
% 0.44/0.61  ; 
% 0.44/0.61  ; Term-hash-array has 597 terms in all.
% 0.44/0.61  ; Feature-vector-row-index has 203 entries (203 at peak, 203 added, 0 deleted).
% 0.44/0.61  ; Feature-vector-row-index has 1,209 nodes (1,209 at peak, 1,209 added, 0 deleted).
% 0.44/0.61  ;  Retrieved 73 possibly forward subsuming rows in 209 calls.
% 0.44/0.61  ;  Retrieved 13 possibly backward subsumed rows in 203 calls.
% 0.44/0.61  ; Path-index has 610 entries (610 at peak, 612 added, 2 deleted).
% 0.44/0.61  ; Path-index has 1,375 nodes (1,375 at peak, 1,379 added, 4 deleted).
% 0.44/0.61  ; Trie-index has 610 entries (610 at peak, 612 added, 2 deleted).
% 0.44/0.61  ; Trie-index has 1,422 nodes (1,422 at peak, 1,428 added, 6 deleted).
% 0.44/0.61  ; Retrieved 230 generalization terms in 1,078 calls.
% 0.44/0.61  ; Retrieved 145 instance terms in 145 calls.
% 0.44/0.61  ; Retrieved 41,564 unifiable terms in 2,637 calls.
% 0.44/0.61  ; 
% 0.44/0.61  ; The agenda of rows to process has 1 entry:
% 0.44/0.61  ;     1 with value 24
% 0.44/0.61  ; The agenda of input rows to give has 62 entries:
% 0.44/0.61  ;     5 with value 24              2 with value 32               3 with value 41
% 0.44/0.61  ;    10 with value 25              3 with value 33               1 with value 42
% 0.44/0.61  ;     1 with value 26              2 with value 34               4 with value 43
% 0.44/0.61  ;     2 with value 27              4 with value 35               1 with value 44
% 0.44/0.61  ;     6 with value 28              1 with value 36               1 with value 47
% 0.44/0.61  ;     2 with value 29              1 with value 37               1 with value 48
% 0.44/0.61  ;     3 with value 30              2 with value 39               1 with value 56
% 0.44/0.61  ;     5 with value 31              1 with value 40
% 0.44/0.61  ; The agenda of rows to give has 154 entries:
% 0.44/0.61  ;     8 with value (4 4)           2 with value (4 10)          17 with value (4 15)
% 0.44/0.61  ;    17 with value (4 5)          14 with value (4 11)           2 with value (4 16)
% 0.44/0.61  ;    12 with value (4 6)          11 with value (4 12)           1 with value (4 17)
% 0.44/0.61  ;    46 with value (4 7)           2 with value (4 13)           4 with value (4 18)
% 0.44/0.61  ;     4 with value (4 8)           5 with value (4 14)           1 with value (4 19)
% 0.44/0.61  ;     8 with value (4 9)
% 0.44/0.61  Evaluation took:
% 0.44/0.61    0.138 seconds of real time
% 0.44/0.61    0.1221 seconds of user run time
% 0.44/0.61    0.015904 seconds of system run time
% 0.44/0.61    0 calls to %EVAL
% 0.44/0.61    0 page faults and
% 0.44/0.61    7,300,632 bytes consed.
% 0.44/0.61  :PROOF-FOUND
% 0.44/0.61  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T09:14:07
% 0.44/0.61  :PROOF-FOUND
% 0.44/0.61  * 
%------------------------------------------------------------------------------