TSTP Solution File: SET025+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET025+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n028.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 05:06:02 EDT 2022

% Result   : Theorem 0.53s 0.75s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    8 (   7 unt;   0 nHn;   4 RR)
%            Number of literals    :   10 (   1 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   11 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ subclass(X,Y)
    | ~ member(Z,X)
    | member(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',subclass_defn) ).

cnf(4,axiom,
    subclass(X,universal_class),
    file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',class_elements_are_sets) ).

cnf(11,axiom,
    member(unordered_pair(X,Y),universal_class),
    file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',unordered_pair) ).

cnf(13,axiom,
    ordered_pair(X,Y) = unordered_pair(singleton(X),unordered_pair(X,singleton(Y))),
    file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',ordered_pair_defn) ).

cnf(92,negated_conjecture,
    ~ member(ordered_pair('SKOLEMAAAV8','SKOLEMAAAV9'),universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair_is_set) ).

cnf(165,plain,
    ~ member(ordered_pair('SKOLEMAAAV8','SKOLEMAAAV9'),X),
    inference('UR-RESOLVE',[status(thm)],[1,4,92]) ).

cnf(270,plain,
    member(ordered_pair(X,Y),universal_class),
    inference('PARAMODULATE',[status(thm)],[11,13,theory(equality)]) ).

cnf(1238,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[165,270]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SET025+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul 11 09:28:43 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T09:28:43
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-07-11T09:28:43
% 0.53/0.75  
% 0.53/0.75  
% 0.53/0.75  #||
% 0.53/0.75  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.75  % SZS output start Refutation
% See solution above
% 0.53/0.75  ||#
% 0.53/0.75  
% 0.53/0.75  ; Summary of computation:
% 0.53/0.75  ;      2640 formulas have been input or derived (from 128 formulas).
% 0.53/0.75  ;      1238 (47%) were retained.  Of these,
% 0.53/0.75  ;           41 ( 3%) were simplified or subsumed later,
% 0.53/0.75  ;         1197 (97%) are still being kept.
% 0.53/0.75  ; 
% 0.53/0.75  ; Run time in seconds excluding printing time:
% 0.53/0.75  ;     0.010   4%   Read assertion file          (1 call)
% 0.53/0.75  ;     0.003   1%   Assert                       (44 calls)
% 0.53/0.75  ;     0.091  32%   Process new row              (2,271 calls)
% 0.53/0.75  ;     0.051  18%   Resolution                   (254 calls)
% 0.53/0.75  ;     0.006   2%   Paramodulation               (127 calls)
% 0.53/0.75  ;     0.000   0%   Factoring                    (6 calls)
% 0.53/0.75  ;     0.005   2%   Condensing                   (646 calls)
% 0.53/0.75  ;     0.020   7%   Forward subsumption          (646 calls)
% 0.53/0.75  ;     0.020   7%   Backward subsumption         (585 calls)
% 0.53/0.75  ;     0.002   1%   Clause clause subsumption    (1,333 calls)
% 0.53/0.75  ;     0.032  11%   Forward simplification       (2,184 calls)
% 0.53/0.75  ;     0.008   3%   Backward simplification      (1,235 calls)
% 0.53/0.75  ;     0.004   1%   Ordering                     (1,334 calls)
% 0.53/0.75  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.53/0.75  ;     0.001   0%   Purity testing               (1 call)
% 0.53/0.75  ;     0.031  11%   Other
% 0.53/0.75  ;     0.284        Total
% 0.53/0.75  ;     0.285        Real time
% 0.53/0.75  ; 
% 0.53/0.75  ; Term-hash-array has 2,442 terms in all.
% 0.53/0.75  ; Feature-vector-row-index has 571 entries (571 at peak, 585 added, 14 deleted).
% 0.53/0.75  ; Feature-vector-row-index has 2,128 nodes (2,128 at peak, 2,184 added, 56 deleted).
% 0.53/0.75  ;  Retrieved 1,223 possibly forward subsuming rows in 646 calls.
% 0.53/0.75  ;  Retrieved 615 possibly backward subsumed rows in 585 calls.
% 0.53/0.75  ; Path-index has 2,403 entries (2,403 at peak, 2,466 added, 63 deleted).
% 0.53/0.75  ; Path-index has 3,501 nodes (3,501 at peak, 3,566 added, 65 deleted).
% 0.53/0.75  ; Trie-index has 2,403 entries (2,403 at peak, 2,466 added, 63 deleted).
% 0.53/0.75  ; Trie-index has 6,942 nodes (6,942 at peak, 7,086 added, 144 deleted).
% 0.53/0.75  ; Retrieved 1,546 generalization terms in 5,173 calls.
% 0.53/0.75  ; Retrieved 675 instance terms in 649 calls.
% 0.53/0.75  ; Retrieved 79,644 unifiable terms in 2,480 calls.
% 0.53/0.75  ; 
% 0.53/0.75  ; The agenda of rows to process has 212 entries:
% 0.53/0.75  ;     6 with value 6              28 with value 15              11 with value 22
% 0.53/0.75  ;    10 with value 9              46 with value 16               1 with value 23
% 0.53/0.75  ;     5 with value 10             18 with value 17               2 with value 24
% 0.53/0.75  ;    13 with value 11             24 with value 18               1 with value 25
% 0.53/0.75  ;     1 with value 12              5 with value 19               1 with value 41
% 0.53/0.75  ;     1 with value 13             14 with value 20               2 with value 42
% 0.53/0.75  ;    18 with value 14              5 with value 21
% 0.53/0.75  ; The agenda of rows to give has 1073 entries:
% 0.53/0.75  ;    19 with value (4 8)          57 with value (4 20)           4 with value (4 32)
% 0.53/0.75  ;    38 with value (4 9)          45 with value (4 21)           2 with value (4 33)
% 0.53/0.75  ;    67 with value (4 10)         28 with value (4 22)           1 with value (4 34)
% 0.53/0.75  ;    71 with value (4 11)         21 with value (4 23)           2 with value (4 35)
% 0.53/0.75  ;    54 with value (4 12)         12 with value (4 24)           3 with value (4 38)
% 0.53/0.75  ;    75 with value (4 13)         11 with value (4 25)           6 with value (4 39)
% 0.53/0.75  ;   122 with value (4 14)          6 with value (4 26)           1 with value (4 40)
% 0.53/0.75  ;   121 with value (4 15)          4 with value (4 27)           4 with value (4 41)
% 0.53/0.75  ;    67 with value (4 16)          6 with value (4 28)           4 with value (4 42)
% 0.53/0.75  ;    55 with value (4 17)          2 with value (4 29)           2 with value (4 44)
% 0.53/0.75  ;    63 with value (4 18)          2 with value (4 30)           4 with value (4 45)
% 0.53/0.75  ;    93 with value (4 19)          1 with value (4 31)
% 0.53/0.75  Evaluation took:
% 0.53/0.75    0.286 seconds of real time
% 0.53/0.75    0.262091 seconds of user run time
% 0.53/0.75    0.024095 seconds of system run time
% 0.53/0.75    [Run times include 0.012 seconds GC run time.]
% 0.53/0.75    0 calls to %EVAL
% 0.53/0.75    0 page faults and
% 0.53/0.75    18,650,632 bytes consed.
% 0.53/0.75  :PROOF-FOUND
% 0.53/0.75  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T09:28:44
% 0.53/0.75  :PROOF-FOUND
% 0.53/0.75  * 
%------------------------------------------------------------------------------