TSTP Solution File: SET689+4 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET689+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n017.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 05:11:34 EDT 2022

% Result   : Theorem 0.39s 0.62s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   13 (   9 unt;   1 nHn;  12 RR)
%            Number of literals    :   19 (   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    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ subset(X,Y)
    | ~ member(Z,X)
    | member(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).

cnf(2,axiom,
    ( subset(X,Y)
    | member('SKOLEMAAAW1'(X,Y),X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).

cnf(3,axiom,
    ( subset(X,Y)
    | ~ member('SKOLEMAAAW1'(X,Y),Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).

cnf(6,axiom,
    ( equal_set(X,Y)
    | ~ subset(X,Y)
    | ~ subset(Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',equal_set) ).

cnf(30,negated_conjecture,
    subset('SKOLEMAAAW4','SKOLEMAAAW5'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI05) ).

cnf(31,negated_conjecture,
    subset('SKOLEMAAAW5','SKOLEMAAAW6'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI05) ).

cnf(32,negated_conjecture,
    subset('SKOLEMAAAW6','SKOLEMAAAW4'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI05) ).

cnf(33,negated_conjecture,
    ~ equal_set('SKOLEMAAAW4','SKOLEMAAAW6'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI05) ).

cnf(45,plain,
    ~ subset('SKOLEMAAAW4','SKOLEMAAAW6'),
    inference('UR-RESOLVE',[status(thm)],[6,33,32]) ).

cnf(51,plain,
    member('SKOLEMAAAW1'('SKOLEMAAAW4','SKOLEMAAAW6'),'SKOLEMAAAW4'),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,2,32]),33]) ).

cnf(81,plain,
    ~ member('SKOLEMAAAW1'('SKOLEMAAAW4','SKOLEMAAAW6'),'SKOLEMAAAW6'),
    inference('UR-RESOLVE',[status(thm)],[3,45]) ).

cnf(335,plain,
    member('SKOLEMAAAW1'('SKOLEMAAAW4','SKOLEMAAAW6'),'SKOLEMAAAW5'),
    inference('HYPERRESOLVE',[status(thm)],[1,51,30]) ).

cnf(484,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[1,81,31]),335]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : SET689+4 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.15  % Command  : run-snark %s %d
% 0.14/0.36  % Computer : n017.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sat Jul  9 22:55:17 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.49  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.50  * 
% 0.21/0.50  * 
% 0.21/0.51  #<PACKAGE "SNARK-USER">
% 0.21/0.51  * 
% 0.21/0.51  SNARK-TPTP-OPTIONS
% 0.21/0.51  * 
% 0.21/0.51  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.51   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.51   (USE-FACTORING :POS)
% 0.21/0.51   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.51   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.51   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.51   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.51   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.51   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.51   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.51   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.51   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.51   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.51  * 
% 0.21/0.51  "."
% 0.21/0.51  * 
% 0.21/0.51  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T22:55:17
% 0.21/0.51  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-07-09T22:55:17
% 0.39/0.62  
% 0.39/0.62  
% 0.39/0.62  #||
% 0.39/0.62  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.62  % SZS output start Refutation
% See solution above
% 0.39/0.62  ||#
% 0.39/0.62  
% 0.39/0.62  ; Summary of computation:
% 0.39/0.62  ;       837 formulas have been input or derived (from 62 formulas).
% 0.39/0.62  ;       484 (58%) were retained.  Of these,
% 0.39/0.62  ;           23 ( 5%) were simplified or subsumed later,
% 0.39/0.62  ;          461 (95%) are still being kept.
% 0.39/0.62  ; 
% 0.39/0.62  ; Run time in seconds excluding printing time:
% 0.39/0.62  ;     0.004   4%   Read assertion file          (1 call)
% 0.39/0.62  ;     0.001   1%   Assert                       (12 calls)
% 0.39/0.62  ;     0.043  39%   Process new row              (747 calls)
% 0.39/0.62  ;     0.018  16%   Resolution                   (122 calls)
% 0.39/0.62  ;     0.002   2%   Paramodulation               (61 calls)
% 0.39/0.62  ;     0.000   0%   Factoring                    (2 calls)
% 0.39/0.62  ;     0.001   1%   Condensing                   (98 calls)
% 0.39/0.62  ;     0.002   2%   Forward subsumption          (98 calls)
% 0.39/0.62  ;     0.000   0%   Backward subsumption         (98 calls)
% 0.39/0.62  ;     0.000   0%   Clause clause subsumption    (97 calls)
% 0.39/0.62  ;     0.005   5%   Forward simplification       (747 calls)
% 0.39/0.62  ;     0.003   3%   Backward simplification      (484 calls)
% 0.39/0.62  ;     0.003   3%   Ordering                     (132 calls)
% 0.39/0.62  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.39/0.62  ;     0.001   1%   Purity testing               (1 call)
% 0.39/0.62  ;     0.028  25%   Other
% 0.39/0.62  ;     0.111        Total
% 0.39/0.62  ;     0.112        Real time
% 0.39/0.62  ; 
% 0.39/0.63  ; Term-hash-array has 966 terms in all.
% 0.39/0.63  ; Feature-vector-row-index has 93 entries (94 at peak, 98 added, 5 deleted).
% 0.39/0.63  ; Feature-vector-row-index has 321 nodes (343 at peak, 361 added, 40 deleted).
% 0.39/0.63  ;  Retrieved 74 possibly forward subsuming rows in 98 calls.
% 0.39/0.63  ;  Retrieved 29 possibly backward subsumed rows in 98 calls.
% 0.39/0.63  ; Path-index has 935 entries (935 at peak, 971 added, 36 deleted).
% 0.39/0.63  ; Path-index has 1,561 nodes (1,561 at peak, 1,582 added, 21 deleted).
% 0.39/0.63  ; Trie-index has 935 entries (935 at peak, 971 added, 36 deleted).
% 0.39/0.63  ; Trie-index has 2,272 nodes (2,272 at peak, 2,352 added, 80 deleted).
% 0.39/0.63  ; Retrieved 296 generalization terms in 823 calls.
% 0.39/0.63  ; Retrieved 432 instance terms in 385 calls.
% 0.39/0.63  ; Retrieved 17,137 unifiable terms in 748 calls.
% 0.39/0.63  ; 
% 0.39/0.63  ; The agenda of rows to process has 32 entries:
% 0.39/0.63  ;     1 with value 10              5 with value 13               1 with value 17
% 0.39/0.63  ;     1 with value 11              5 with value 14               2 with value 18
% 0.39/0.63  ;     9 with value 12              8 with value 15
% 0.39/0.63  ; The agenda of rows to give has 399 entries:
% 0.39/0.63  ;    23 with value (4 9)          13 with value (4 16)           7 with value (4 23)
% 0.39/0.63  ;    25 with value (4 10)          5 with value (4 17)           1 with value (4 24)
% 0.39/0.63  ;    53 with value (4 11)         10 with value (4 18)           2 with value (4 25)
% 0.39/0.63  ;    75 with value (4 12)          5 with value (4 19)           1 with value (4 26)
% 0.39/0.63  ;    92 with value (4 13)          3 with value (4 20)           1 with value (4 27)
% 0.39/0.63  ;    70 with value (4 14)          3 with value (4 21)           2 with value (4 30)
% 0.39/0.63  ;     5 with value (4 15)          3 with value (4 22)
% 0.39/0.63  Evaluation took:
% 0.39/0.63    0.112 seconds of real time
% 0.39/0.63    0.102287 seconds of user run time
% 0.39/0.63    0.010338 seconds of system run time
% 0.39/0.63    0 calls to %EVAL
% 0.39/0.63    0 page faults and
% 0.39/0.63    6,313,120 bytes consed.
% 0.39/0.63  :PROOF-FOUND
% 0.39/0.63  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T22:55:17
% 0.39/0.63  :PROOF-FOUND
% 0.39/0.63  * 
%------------------------------------------------------------------------------