TSTP Solution File: SET355+4 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET355+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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 05:09:12 EDT 2022

% Result   : Theorem 0.44s 0.61s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    8 (   5 unt;   1 nHn;   7 RR)
%            Number of literals    :   12 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( subset(X,Y)
    | member('SKOLEMAAAV1'(X,Y),X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).

cnf(3,axiom,
    ( subset(X,Y)
    | ~ member('SKOLEMAAAV1'(X,Y),Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).

cnf(26,axiom,
    ( member(X,sum(Y))
    | ~ member(Z,Y)
    | ~ member(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',sum) ).

cnf(30,negated_conjecture,
    member('SKOLEMAAAV5','SKOLEMAAAV4'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI43) ).

cnf(31,negated_conjecture,
    ~ subset('SKOLEMAAAV5',sum('SKOLEMAAAV4')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI43) ).

cnf(37,plain,
    member('SKOLEMAAAV1'('SKOLEMAAAV5',sum('SKOLEMAAAV4')),'SKOLEMAAAV5'),
    inference('HYPERRESOLVE',[status(thm)],[31,2]) ).

cnf(39,plain,
    ~ member('SKOLEMAAAV1'('SKOLEMAAAV5',sum('SKOLEMAAAV4')),sum('SKOLEMAAAV4')),
    inference('UR-RESOLVE',[status(thm)],[3,31]) ).

cnf(721,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[26,37,30]),39]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET355+4 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n024.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 : Sun Jul 10 03:10:43 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 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 2022-07-10T03:10:44
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-10T03:10:44
% 0.44/0.61  
% 0.44/0.61  
% 0.44/0.61  #||
% 0.44/0.61  % SZS status Theorem for /export/starexec/sandbox2/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  ;      1326 formulas have been input or derived (from 88 formulas).
% 0.44/0.61  ;       721 (54%) were retained.  Of these,
% 0.44/0.61  ;            2 ( 0%) were simplified or subsumed later,
% 0.44/0.61  ;          719 (100%) are still being kept.
% 0.44/0.61  ; 
% 0.44/0.61  ; Run time in seconds excluding printing time:
% 0.44/0.61  ;     0.004   3%   Read assertion file          (1 call)
% 0.44/0.61  ;     0.001   1%   Assert                       (12 calls)
% 0.44/0.61  ;     0.051  38%   Process new row              (1,173 calls)
% 0.44/0.61  ;     0.030  22%   Resolution                   (174 calls)
% 0.44/0.61  ;     0.001   1%   Paramodulation               (87 calls)
% 0.44/0.61  ;     0.000   0%   Factoring                    (2 calls)
% 0.44/0.61  ;     0.001   1%   Condensing                   (106 calls)
% 0.44/0.61  ;     0.002   1%   Forward subsumption          (106 calls)
% 0.44/0.61  ;     0.003   2%   Backward subsumption         (106 calls)
% 0.44/0.61  ;     0.000   0%   Clause clause subsumption    (115 calls)
% 0.44/0.61  ;     0.012   9%   Forward simplification       (1,173 calls)
% 0.44/0.61  ;     0.006   4%   Backward simplification      (721 calls)
% 0.44/0.61  ;     0.001   1%   Ordering                     (142 calls)
% 0.44/0.61  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.44/0.61  ;     0.000   0%   Purity testing               (1 call)
% 0.44/0.61  ;     0.024  18%   Other
% 0.44/0.61  ;     0.136        Total
% 0.44/0.61  ;     0.138        Real time
% 0.44/0.61  ; 
% 0.44/0.61  ; Term-hash-array has 1,342 terms in all.
% 0.44/0.61  ; Feature-vector-row-index has 105 entries (105 at peak, 106 added, 1 deleted).
% 0.44/0.61  ; Feature-vector-row-index has 350 nodes (350 at peak, 355 added, 5 deleted).
% 0.44/0.61  ;  Retrieved 82 possibly forward subsuming rows in 106 calls.
% 0.44/0.61  ;  Retrieved 33 possibly backward subsumed rows in 106 calls.
% 0.44/0.61  ; Path-index has 1,342 entries (1,342 at peak, 1,345 added, 3 deleted).
% 0.44/0.61  ; Path-index has 2,073 nodes (2,073 at peak, 2,076 added, 3 deleted).
% 0.44/0.61  ; Trie-index has 1,342 entries (1,342 at peak, 1,345 added, 3 deleted).
% 0.44/0.61  ; Trie-index has 3,463 nodes (3,463 at peak, 3,473 added, 10 deleted).
% 0.44/0.61  ; Retrieved 487 generalization terms in 1,262 calls.
% 0.44/0.61  ; Retrieved 641 instance terms in 614 calls.
% 0.44/0.61  ; Retrieved 23,890 unifiable terms in 1,120 calls.
% 0.44/0.61  ; 
% 0.44/0.61  ; The agenda of rows to process has 53 entries:
% 0.44/0.61  ;    16 with value 13              1 with value 18               2 with value 22
% 0.44/0.61  ;    17 with value 14              4 with value 19               1 with value 26
% 0.44/0.61  ;     4 with value 15              8 with value 20
% 0.44/0.61  ; The agenda of rows to give has 631 entries:
% 0.44/0.61  ;     1 with value (4 6)          32 with value (4 15)           3 with value (4 22)
% 0.44/0.61  ;     1 with value (4 8)          11 with value (4 16)           8 with value (4 23)
% 0.44/0.61  ;     4 with value (4 9)           4 with value (4 17)           1 with value (4 24)
% 0.44/0.61  ;    65 with value (4 10)         15 with value (4 18)           6 with value (4 25)
% 0.44/0.61  ;    86 with value (4 11)         10 with value (4 19)           1 with value (4 26)
% 0.44/0.61  ;   122 with value (4 12)         11 with value (4 20)           1 with value (4 27)
% 0.44/0.61  ;    97 with value (4 13)          2 with value (4 21)           2 with value (4 30)
% 0.44/0.61  ;   148 with value (4 14)
% 0.44/0.61  Evaluation took:
% 0.44/0.61    0.139 seconds of real time
% 0.44/0.61    0.12643 seconds of user run time
% 0.44/0.61    0.012001 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    7,734,288 bytes consed.
% 0.44/0.61  :PROOF-FOUND
% 0.44/0.61  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T03:10:44
% 0.44/0.61  :PROOF-FOUND
% 0.44/0.61  * 
%------------------------------------------------------------------------------