TSTP Solution File: SET800+4 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET800+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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 05:12:14 EDT 2022

% Result   : Theorem 0.38s 0.58s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   12 (   8 unt;   0 nHn;  12 RR)
%            Number of literals    :   18 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   15 (   3 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(102,axiom,
    ( ~ lower_bound(X,Y,Z)
    | ~ member(U,Z)
    | apply(Y,X,U) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax',lower_bound) ).

cnf(129,axiom,
    ( ~ greatest_lower_bound(X,Y,Z,U)
    | member(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax',greatest_lower_bound) ).

cnf(130,axiom,
    ( ~ greatest_lower_bound(X,Y,Z,U)
    | lower_bound(X,Z,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax',greatest_lower_bound) ).

cnf(138,negated_conjecture,
    subset('SKOLEMAAAV22','SKOLEMAAAV23'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIV12) ).

cnf(139,negated_conjecture,
    greatest_lower_bound('SKOLEMAAAV24','SKOLEMAAAV22','SKOLEMAAAV20','SKOLEMAAAV21'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIV12) ).

cnf(140,negated_conjecture,
    greatest_lower_bound('SKOLEMAAAV25','SKOLEMAAAV23','SKOLEMAAAV20','SKOLEMAAAV21'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIV12) ).

cnf(141,negated_conjecture,
    ~ apply('SKOLEMAAAV20','SKOLEMAAAV25','SKOLEMAAAV24'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIV12) ).

cnf(151,plain,
    member('SKOLEMAAAV24','SKOLEMAAAV22'),
    inference('HYPERRESOLVE',[status(thm)],[129,139]) ).

cnf(162,plain,
    lower_bound('SKOLEMAAAV25','SKOLEMAAAV20','SKOLEMAAAV23'),
    inference('HYPERRESOLVE',[status(thm)],[130,140]) ).

cnf(231,plain,
    member('SKOLEMAAAV24','SKOLEMAAAV23'),
    inference('HYPERRESOLVE',[status(thm)],[1,151,138]) ).

cnf(303,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[102,162,141]),231]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET800+4 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n021.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sat Jul  9 23:18:37 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.46  #<PACKAGE "SNARK-USER">
% 0.20/0.46  * 
% 0.20/0.46  SNARK-TPTP-OPTIONS
% 0.20/0.46  * 
% 0.20/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46   (USE-FACTORING :POS)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T23:18:37
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-09T23:18:37
% 0.38/0.58  
% 0.38/0.58  
% 0.38/0.58  #||
% 0.38/0.58  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.58  % SZS output start Refutation
% See solution above
% 0.38/0.59  ||#
% 0.38/0.59  
% 0.38/0.59  ; Summary of computation:
% 0.38/0.59  ;       354 formulas have been input or derived (from 152 formulas).
% 0.38/0.59  ;       303 (86%) were retained.  Of these,
% 0.38/0.59  ;            2 ( 1%) were simplified or subsumed later,
% 0.38/0.59  ;          301 (99%) are still being kept.
% 0.38/0.59  ; 
% 0.38/0.59  ; Run time in seconds excluding printing time:
% 0.38/0.59  ;     0.008   7%   Read assertion file          (1 call)
% 0.38/0.59  ;     0.004   3%   Assert                       (22 calls)
% 0.38/0.59  ;     0.022  18%   Process new row              (339 calls)
% 0.38/0.59  ;     0.035  29%   Resolution                   (302 calls)
% 0.38/0.59  ;     0.001   1%   Paramodulation               (151 calls)
% 0.38/0.59  ;     0.000   0%   Factoring                    (24 calls)
% 0.38/0.59  ;     0.002   2%   Condensing                   (244 calls)
% 0.38/0.59  ;     0.008   7%   Forward subsumption          (244 calls)
% 0.38/0.59  ;     0.007   6%   Backward subsumption         (244 calls)
% 0.38/0.59  ;     0.000   0%   Clause clause subsumption    (101 calls)
% 0.38/0.59  ;     0.002   2%   Forward simplification       (339 calls)
% 0.38/0.59  ;     0.002   2%   Backward simplification      (303 calls)
% 0.38/0.59  ;     0.003   3%   Ordering                     (494 calls)
% 0.38/0.59  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.38/0.59  ;     0.001   1%   Purity testing               (1 call)
% 0.38/0.59  ;     0.023  19%   Other
% 0.38/0.59  ;     0.119        Total
% 0.38/0.59  ;     0.121        Real time
% 0.38/0.59  ; 
% 0.38/0.59  ; Term-hash-array has 468 terms in all.
% 0.38/0.59  ; Feature-vector-row-index has 242 entries (242 at peak, 244 added, 2 deleted).
% 0.38/0.59  ; Feature-vector-row-index has 797 nodes (797 at peak, 827 added, 30 deleted).
% 0.38/0.59  ;  Retrieved 138 possibly forward subsuming rows in 244 calls.
% 0.38/0.59  ;  Retrieved 70 possibly backward subsumed rows in 244 calls.
% 0.38/0.59  ; Path-index has 469 entries (469 at peak, 475 added, 6 deleted).
% 0.38/0.59  ; Path-index has 1,155 nodes (1,155 at peak, 1,164 added, 9 deleted).
% 0.38/0.59  ; Trie-index has 469 entries (469 at peak, 475 added, 6 deleted).
% 0.38/0.59  ; Trie-index has 1,154 nodes (1,154 at peak, 1,178 added, 24 deleted).
% 0.38/0.59  ; Retrieved 40 generalization terms in 552 calls.
% 0.38/0.59  ; Retrieved 62 instance terms in 58 calls.
% 0.38/0.59  ; Retrieved 37,138 unifiable terms in 1,820 calls.
% 0.38/0.59  ; 
% 0.38/0.59  ; The agenda of rows to process has 6 entries:
% 0.38/0.59  ;     1 with value 7               1 with value 16               1 with value 18
% 0.38/0.59  ;     2 with value 8               1 with value 17
% 0.38/0.59  ; The agenda of rows to give has 149 entries:
% 0.38/0.59  ;     9 with value (4 6)           2 with value (4 17)           1 with value (4 27)
% 0.38/0.59  ;    13 with value (4 7)           3 with value (4 18)          12 with value (4 28)
% 0.38/0.59  ;     8 with value (4 8)           3 with value (4 19)           2 with value (4 29)
% 0.38/0.59  ;    10 with value (4 9)           3 with value (4 20)           2 with value (4 30)
% 0.38/0.59  ;     8 with value (4 12)          2 with value (4 21)          12 with value (4 33)
% 0.38/0.59  ;     6 with value (4 13)          3 with value (4 23)           6 with value (4 38)
% 0.38/0.59  ;     4 with value (4 14)          1 with value (4 24)           2 with value (4 39)
% 0.38/0.59  ;    12 with value (4 15)          4 with value (4 25)           2 with value (4 40)
% 0.38/0.59  ;    10 with value (4 16)          9 with value (4 26)
% 0.38/0.59  Evaluation took:
% 0.38/0.59    0.121 seconds of real time
% 0.38/0.59    0.107884 seconds of user run time
% 0.38/0.59    0.013033 seconds of system run time
% 0.38/0.59    0 calls to %EVAL
% 0.38/0.59    0 page faults and
% 0.38/0.59    6,281,072 bytes consed.
% 0.38/0.59  :PROOF-FOUND
% 0.38/0.59  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T23:18:37
% 0.38/0.59  :PROOF-FOUND
% 0.38/0.59  * 
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