TSTP Solution File: SEU127+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU127+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : Tue Jul 19 14:19:18 EDT 2022

% Result   : Theorem 0.46s 0.64s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    8 (   5 unt;   1 nHn;   7 RR)
%            Number of literals    :   12 (   1 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    9 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(12,axiom,
    ( subset(X,Y)
    | in('SKOLEMAAAV3'(X,Y),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

cnf(13,axiom,
    ( subset(X,Y)
    | ~ in('SKOLEMAAAV3'(X,Y),Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

cnf(14,axiom,
    ( X != set_intersection2(Y,Z)
    | ~ in(U,X)
    | in(U,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).

cnf(29,negated_conjecture,
    ~ subset(set_intersection2('SKOLEMAAAV7','SKOLEMAAAV8'),'SKOLEMAAAV7'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_xboole_1) ).

cnf(50,plain,
    in('SKOLEMAAAV3'(set_intersection2('SKOLEMAAAV7','SKOLEMAAAV8'),'SKOLEMAAAV7'),set_intersection2('SKOLEMAAAV7','SKOLEMAAAV8')),
    inference('HYPERRESOLVE',[status(thm)],[29,12]) ).

cnf(51,plain,
    ~ in('SKOLEMAAAV3'(set_intersection2('SKOLEMAAAV7','SKOLEMAAAV8'),'SKOLEMAAAV7'),'SKOLEMAAAV7'),
    inference('UR-RESOLVE',[status(thm)],[13,29]) ).

cnf(179,plain,
    ~ in('SKOLEMAAAV3'(set_intersection2('SKOLEMAAAV7','SKOLEMAAAV8'),'SKOLEMAAAV7'),set_intersection2('SKOLEMAAAV7',X)),
    inference('UR-RESOLVE',[status(thm)],[14,51,theory(equality)]) ).

cnf(180,plain,
    $false,
    inference('REWRITE',[status(thm)],[50,179]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU127+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n005.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 : Sun Jun 19 13:35:08 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T13:35:08
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-19T13:35:08
% 0.19/0.48  
% 0.19/0.48  ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.19/0.48  ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.19/0.48  ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.19/0.48  ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.19/0.48  ; Declaring set_union2 to be commutative.
% 0.19/0.48  ; Declaring set_intersection2 to be commutative.
% 0.46/0.64  ; Declaring disjoint to be commutative.
% 0.46/0.64  
% 0.46/0.64  #||
% 0.46/0.64  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.64  % SZS output start Refutation
% See solution above
% 0.46/0.64  ||#
% 0.46/0.64  
% 0.46/0.64  ; Summary of computation:
% 0.46/0.64  ;      1531 formulas have been input or derived (from 66 formulas).
% 0.46/0.64  ;       180 (12%) were retained.  Of these,
% 0.46/0.64  ;            3 ( 2%) were simplified or subsumed later,
% 0.46/0.64  ;          177 (98%) are still being kept.
% 0.46/0.64  ; 
% 0.46/0.64  ; Run time in seconds:
% 0.46/0.64  ;     0.006   3%   Read assertion file          (1 call)
% 0.46/0.64  ;     0.002   1%   Assert                       (35 calls)
% 0.46/0.64  ;     0.018  10%   Process new row              (1,218 calls)
% 0.46/0.64  ;     0.038  22%   Resolution                   (130 calls)
% 0.46/0.64  ;     0.001   1%   Paramodulation               (65 calls)
% 0.46/0.64  ;     0.001   1%   Factoring                    (8 calls)
% 0.46/0.64  ;     0.015   9%   Condensing                   (741 calls)
% 0.46/0.64  ;     0.017  10%   Forward subsumption          (741 calls)
% 0.46/0.64  ;     0.007   4%   Backward subsumption         (112 calls)
% 0.46/0.64  ;     0.013   7%   Clause clause subsumption    (1,226 calls)
% 0.46/0.64  ;     0.021  12%   Forward simplification       (1,217 calls)
% 0.46/0.64  ;     0.002   1%   Backward simplification      (180 calls)
% 0.46/0.64  ;     0.003   2%   Ordering                     (2,278 calls)
% 0.46/0.64  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.46/0.64  ;     0.000   0%   Purity testing               (1 call)
% 0.46/0.64  ;     0.031  18%   Other
% 0.46/0.64  ;     0.175        Total
% 0.46/0.64  ;     0.181        Real time
% 0.46/0.64  ; 
% 0.46/0.64  ; Term-hash-array has 340 terms in all.
% 0.46/0.64  ; Feature-vector-row-index has 111 entries (111 at peak, 112 added, 1 deleted).
% 0.46/0.64  ; Feature-vector-row-index has 212 nodes (212 at peak, 212 added, 0 deleted).
% 0.46/0.64  ;  Retrieved 2,864 possibly forward subsuming rows in 741 calls.
% 0.46/0.64  ;  Retrieved 121 possibly backward subsumed rows in 112 calls.
% 0.46/0.64  ; Path-index has 341 entries (342 at peak, 345 added, 4 deleted).
% 0.46/0.64  ; Path-index has 351 nodes (351 at peak, 352 added, 1 deleted).
% 0.46/0.64  ; Trie-index has 341 entries (342 at peak, 345 added, 4 deleted).
% 0.46/0.64  ; Trie-index has 680 nodes (681 at peak, 682 added, 2 deleted).
% 0.46/0.64  ; Retrieved 2,509 generalization terms in 4,704 calls.
% 0.46/0.64  ; Retrieved 75 instance terms in 67 calls.
% 0.46/0.64  ; Retrieved 22,230 unifiable terms in 1,426 calls.
% 0.46/0.64  ; 
% 0.46/0.64  ; The agenda of rows to process has 19 entries:
% 0.46/0.64  ;     4 with value 14              5 with value 16              10 with value 18
% 0.46/0.64  ; The agenda of rows to give has 112 entries:
% 0.46/0.64  ;    20 with value (4 11)          4 with value (4 19)           2 with value (4 32)
% 0.46/0.64  ;     8 with value (4 12)          2 with value (4 20)           2 with value (4 33)
% 0.46/0.64  ;    11 with value (4 13)          4 with value (4 21)           4 with value (4 34)
% 0.46/0.64  ;     7 with value (4 14)          2 with value (4 22)           3 with value (4 39)
% 0.46/0.64  ;     4 with value (4 15)          2 with value (4 24)           3 with value (4 43)
% 0.46/0.64  ;     6 with value (4 16)          6 with value (4 26)           4 with value (4 44)
% 0.46/0.64  ;     3 with value (4 17)          2 with value (4 28)           1 with value (4 54)
% 0.46/0.64  ;     6 with value (4 18)          4 with value (4 31)           2 with value (4 55)
% 0.46/0.64  Evaluation took:
% 0.46/0.64    0.181 seconds of real time
% 0.46/0.64    0.164995 seconds of user run time
% 0.46/0.64    0.016166 seconds of system run time
% 0.46/0.64    [Run times include 0.005 seconds GC run time.]
% 0.46/0.64    0 calls to %EVAL
% 0.46/0.64    0 page faults and
% 0.46/0.64    12,521,624 bytes consed.
% 0.46/0.64  :PROOF-FOUND
% 0.46/0.64  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T13:35:08
% 0.46/0.64  :PROOF-FOUND
% 0.46/0.64  * 
%------------------------------------------------------------------------------