TSTP Solution File: SET055-6 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET055-6 : TPTP v8.1.0. Released v1.0.0.
% 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 : Tue Jul 19 05:06:31 EDT 2022

% Result   : Unsatisfiable 0.69s 0.86s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   5 unt;   1 nHn;   8 RR)
%            Number of literals    :   15 (   0 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   10 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(transitivity,axiom,
    ( ~ equalish(X,Y)
    | ~ equalish(Y,Z)
    | equalish(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).

cnf(not_subclass_members1,axiom,
    ( member(not_subclass_element(X,Y),X)
    | subclass(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).

cnf(not_subclass_members2,axiom,
    ( ~ member(not_subclass_element(X,Y),Y)
    | subclass(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).

cnf(subclass_implies_equal,axiom,
    ( ~ subclass(X,Y)
    | ~ subclass(Y,X)
    | equalish(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).

cnf(prove_reflexivity,negated_conjecture,
    ~ equalish(x,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_reflexivity) ).

cnf(264,plain,
    ~ equalish(x,X),
    inference('UR-RESOLVE',[status(thm)],[transitivity,prove_reflexivity]) ).

cnf(1468,plain,
    ~ subclass(x,x),
    inference('UR-RESOLVE',[status(thm)],[subclass_implies_equal,264]) ).

cnf(1593,plain,
    member(not_subclass_element(x,x),x),
    inference('HYPERRESOLVE',[status(thm)],[1468,not_subclass_members1]) ).

cnf(1594,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[not_subclass_members2,1468]),1593]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SET055-6 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 04:56:44 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 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/sandbox2/benchmark/theBenchmark.p 2022-07-11T04:56:45
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-11T04:56:45
% 0.19/0.51  
% 0.19/0.52  ; Recognized commutativity assertion (OR (NOT (|equalish| ?X ?Y)) (|equalish| ?Y ?X)).
% 0.69/0.86  ; Declaring equalish to be commutative.
% 0.69/0.86  
% 0.69/0.86  #||
% 0.69/0.86  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.86  % SZS output start Refutation
% See solution above
% 0.69/0.87  ||#
% 0.69/0.87  
% 0.69/0.87  ; Summary of computation:
% 0.69/0.87  ;      5416 formulas have been input or derived (from 169 formulas).
% 0.69/0.87  ;      1594 (29%) were retained.  Of these,
% 0.69/0.87  ;            3 ( 0%) were simplified or subsumed later,
% 0.69/0.87  ;         1591 (100%) are still being kept.
% 0.69/0.87  ; 
% 0.69/0.87  ; Run time in seconds excluding printing time:
% 0.69/0.87  ;     0.029   7%   Read assertion file          (1 call)
% 0.69/0.87  ;     0.002   1%   Assert                       (159 calls)
% 0.69/0.87  ;     0.120  31%   Process new row              (3,112 calls)
% 0.69/0.87  ;     0.117  30%   Resolution                   (336 calls)
% 0.69/0.87  ;     0.002   1%   Paramodulation               (168 calls)
% 0.69/0.87  ;     0.000   0%   Factoring                    (3 calls)
% 0.69/0.87  ;     0.011   3%   Condensing                   (380 calls)
% 0.69/0.87  ;     0.014   4%   Forward subsumption          (379 calls)
% 0.69/0.87  ;     0.008   2%   Backward subsumption         (354 calls)
% 0.69/0.87  ;     0.001   0%   Clause clause subsumption    (415 calls)
% 0.69/0.87  ;     0.029   7%   Forward simplification       (3,112 calls)
% 0.69/0.87  ;     0.009   2%   Backward simplification      (1,594 calls)
% 0.69/0.87  ;     0.000   0%   Ordering                     (467 calls)
% 0.69/0.87  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.69/0.87  ;     0.000   0%   Purity testing               (1 call)
% 0.69/0.87  ;     0.049  13%   Other
% 0.69/0.87  ;     0.391        Total
% 0.69/0.87  ;     0.392        Real time
% 0.69/0.87  ; 
% 0.69/0.87  ; Term-hash-array has 4,202 terms in all.
% 0.69/0.87  ; Feature-vector-row-index has 354 entries (354 at peak, 354 added, 0 deleted).
% 0.69/0.87  ; Feature-vector-row-index has 1,893 nodes (1,893 at peak, 1,893 added, 0 deleted).
% 0.69/0.87  ;  Retrieved 338 possibly forward subsuming rows in 379 calls.
% 0.69/0.87  ;  Retrieved 117 possibly backward subsumed rows in 354 calls.
% 0.69/0.87  ; Path-index has 4,208 entries (4,208 at peak, 4,211 added, 3 deleted).
% 0.69/0.87  ; Path-index has 24,192 nodes (24,192 at peak, 24,192 added, 0 deleted).
% 0.69/0.87  ; Trie-index has 4,208 entries (4,208 at peak, 4,211 added, 3 deleted).
% 0.69/0.87  ; Trie-index has 22,358 nodes (22,358 at peak, 22,367 added, 9 deleted).
% 0.69/0.87  ; Retrieved 1,828 generalization terms in 3,501 calls.
% 0.69/0.87  ; Retrieved 1,702 instance terms in 1,239 calls.
% 0.69/0.87  ; Retrieved 91,597 unifiable terms in 5,666 calls.
% 0.69/0.87  ; 
% 0.69/0.87  ; The agenda of rows to process has 1 entry:
% 0.69/0.87  ;     1 with value 10
% 0.69/0.87  ; The agenda of rows to give has 1423 entries:
% 0.69/0.87  ;     4 with value (4 6)         125 with value (4 17)          39 with value (4 28)
% 0.69/0.87  ;     4 with value (4 7)         123 with value (4 18)           7 with value (4 29)
% 0.69/0.87  ;    17 with value (4 8)         127 with value (4 19)          23 with value (4 30)
% 0.69/0.87  ;    39 with value (4 9)         108 with value (4 20)           3 with value (4 31)
% 0.69/0.87  ;    29 with value (4 10)        100 with value (4 21)           1 with value (4 32)
% 0.69/0.87  ;    50 with value (4 11)         79 with value (4 22)           3 with value (4 34)
% 0.69/0.87  ;    38 with value (4 12)         26 with value (4 23)           2 with value (4 36)
% 0.69/0.87  ;    73 with value (4 13)         80 with value (4 24)           1 with value (4 39)
% 0.69/0.87  ;    53 with value (4 14)         10 with value (4 25)           1 with value (4 41)
% 0.69/0.87  ;    70 with value (4 15)         76 with value (4 26)           1 with value (4 43)
% 0.69/0.87  ;   105 with value (4 16)          5 with value (4 27)           1 with value (4 47)
% 0.69/0.87  Evaluation took:
% 0.69/0.87    0.393 seconds of real time
% 0.69/0.87    0.354477 seconds of user run time
% 0.69/0.87    0.038544 seconds of system run time
% 0.69/0.87    [Run times include 0.033 seconds GC run time.]
% 0.69/0.87    0 calls to %EVAL
% 0.69/0.87    0 page faults and
% 0.69/0.87    31,605,392 bytes consed.
% 0.69/0.87  :PROOF-FOUND
% 0.69/0.87  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T04:56:45
% 0.69/0.87  :PROOF-FOUND
% 0.69/0.87  * 
%------------------------------------------------------------------------------