TSTP Solution File: GEO255+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO255+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n009.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 : Sat Jul 16 06:15:29 EDT 2022

% Result   : Theorem 0.45s 0.60s
% Output   : Refutation 0.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   20 (  14 unt;   2 nHn;  17 RR)
%            Number of literals    :   27 (   0 equ;  12 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   17 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(7,axiom,
    ( ~ equally_directed_lines(X,Y)
    | ~ unequally_directed_lines(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a4_defns) ).

cnf(23,axiom,
    ( ~ before_on_line(X,Y,Z)
    | distinct_points(Y,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax4_defns) ).

cnf(26,axiom,
    ( ~ before_on_line(X,Y,Z)
    | equally_directed_lines(X,line_connecting(Y,Z)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax4_defns) ).

cnf(38,axiom,
    equally_directed_lines(X,X),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax5_basics) ).

cnf(39,axiom,
    ( ~ unequally_directed_lines(X,Y)
    | unequally_directed_lines(X,Z)
    | unequally_directed_lines(Y,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax6_basics) ).

cnf(42,axiom,
    ( unequally_directed_lines(X,Y)
    | unequally_directed_lines(X,reverse_line(Y)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax8_basics) ).

cnf(56,axiom,
    ( ~ distinct_points(X,Y)
    | equally_directed_lines(line_connecting(X,Y),reverse_line(line_connecting(Y,X))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax9_cons_objs) ).

cnf(60,negated_conjecture,
    before_on_line('SKOLEMAAAU1','SKOLEMAAAU2','SKOLEMAAAU3'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(61,negated_conjecture,
    before_on_line('SKOLEMAAAU1','SKOLEMAAAU3','SKOLEMAAAU2'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(67,plain,
    ~ unequally_directed_lines(X,X),
    inference('UR-RESOLVE',[status(thm)],[7,38]) ).

cnf(69,plain,
    distinct_points('SKOLEMAAAU2','SKOLEMAAAU3'),
    inference('HYPERRESOLVE',[status(thm)],[23,60]) ).

cnf(83,plain,
    equally_directed_lines('SKOLEMAAAU1',line_connecting('SKOLEMAAAU2','SKOLEMAAAU3')),
    inference('HYPERRESOLVE',[status(thm)],[26,60]) ).

cnf(84,plain,
    equally_directed_lines('SKOLEMAAAU1',line_connecting('SKOLEMAAAU3','SKOLEMAAAU2')),
    inference('HYPERRESOLVE',[status(thm)],[26,61]) ).

cnf(95,plain,
    equally_directed_lines(line_connecting('SKOLEMAAAU2','SKOLEMAAAU3'),reverse_line(line_connecting('SKOLEMAAAU3','SKOLEMAAAU2'))),
    inference('HYPERRESOLVE',[status(thm)],[56,69]) ).

cnf(112,plain,
    ~ unequally_directed_lines('SKOLEMAAAU1',line_connecting('SKOLEMAAAU2','SKOLEMAAAU3')),
    inference('UR-RESOLVE',[status(thm)],[7,83]) ).

cnf(113,plain,
    ~ unequally_directed_lines('SKOLEMAAAU1',line_connecting('SKOLEMAAAU3','SKOLEMAAAU2')),
    inference('UR-RESOLVE',[status(thm)],[7,84]) ).

cnf(134,plain,
    ~ unequally_directed_lines(line_connecting('SKOLEMAAAU2','SKOLEMAAAU3'),'SKOLEMAAAU1'),
    inference('UR-RESOLVE',[status(thm)],[39,112,67]) ).

cnf(141,plain,
    ~ unequally_directed_lines(line_connecting('SKOLEMAAAU3','SKOLEMAAAU2'),'SKOLEMAAAU1'),
    inference('UR-RESOLVE',[status(thm)],[39,113,67]) ).

cnf(198,plain,
    ~ unequally_directed_lines(line_connecting('SKOLEMAAAU2','SKOLEMAAAU3'),line_connecting('SKOLEMAAAU3','SKOLEMAAAU2')),
    inference('UR-RESOLVE',[status(thm)],[39,141,134]) ).

cnf(498,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,95,42]),198]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GEO255+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n009.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 : Sat Jun 18 14:37:07 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.20/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45  * 
% 0.20/0.45  * 
% 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  * 
% 0.20/0.46  "."
% 0.20/0.46  * 
% 0.20/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T14:37:08
% 0.20/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-06-18T14:37:08
% 0.45/0.60  
% 0.45/0.60  
% 0.45/0.60  #||
% 0.45/0.60  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.60  % SZS output start Refutation
% See solution above
% 0.45/0.60  ||#
% 0.45/0.60  
% 0.45/0.60  ; Summary of computation:
% 0.45/0.60  ;      1664 formulas have been input or derived (from 155 formulas).
% 0.45/0.60  ;       498 (30%) were retained.  Of these,
% 0.45/0.60  ;           36 ( 7%) were simplified or subsumed later,
% 0.45/0.60  ;          462 (93%) are still being kept.
% 0.45/0.60  ; 
% 0.45/0.60  ; Run time in seconds excluding printing time:
% 0.45/0.60  ;     0.009   6%   Read assertion file          (1 call)
% 0.45/0.60  ;     0.001   1%   Assert                       (37 calls)
% 0.45/0.60  ;     0.037  26%   Process new row              (1,593 calls)
% 0.45/0.60  ;     0.030  21%   Resolution                   (308 calls)
% 0.45/0.60  ;     0.000   0%   Paramodulation               (154 calls)
% 0.45/0.60  ;     0.000   0%   Factoring                    (16 calls)
% 0.45/0.60  ;     0.003   2%   Condensing                   (342 calls)
% 0.45/0.60  ;     0.004   3%   Forward subsumption          (342 calls)
% 0.45/0.60  ;     0.005   4%   Backward subsumption         (185 calls)
% 0.45/0.60  ;     0.002   1%   Clause clause subsumption    (1,461 calls)
% 0.45/0.60  ;     0.018  13%   Forward simplification       (1,593 calls)
% 0.45/0.60  ;     0.003   2%   Backward simplification      (497 calls)
% 0.45/0.60  ;     0.002   1%   Ordering                     (501 calls)
% 0.45/0.60  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.45/0.60  ;     0.000   0%   Purity testing               (1 call)
% 0.45/0.60  ;     0.025  18%   Other
% 0.45/0.60  ;     0.140        Total
% 0.45/0.60  ;     0.141        Real time
% 0.45/0.60  ; 
% 0.45/0.60  ; Term-hash-array has 535 terms in all.
% 0.45/0.60  ; Feature-vector-row-index has 156 entries (156 at peak, 185 added, 29 deleted).
% 0.45/0.60  ; Feature-vector-row-index has 211 nodes (211 at peak, 267 added, 56 deleted).
% 0.45/0.60  ;  Retrieved 1,591 possibly forward subsuming rows in 342 calls.
% 0.45/0.60  ;  Retrieved 396 possibly backward subsumed rows in 185 calls.
% 0.45/0.60  ; Path-index has 516 entries (516 at peak, 548 added, 32 deleted).
% 0.45/0.60  ; Path-index has 874 nodes (874 at peak, 897 added, 23 deleted).
% 0.45/0.60  ; Trie-index has 516 entries (516 at peak, 548 added, 32 deleted).
% 0.45/0.60  ; Trie-index has 1,187 nodes (1,187 at peak, 1,233 added, 46 deleted).
% 0.45/0.60  ; Retrieved 3,102 generalization terms in 2,048 calls.
% 0.45/0.60  ; Retrieved 385 instance terms in 311 calls.
% 0.45/0.60  ; Retrieved 10,205 unifiable terms in 1,616 calls.
% 0.45/0.60  ; 
% 0.45/0.60  ; The agenda of rows to process has 7 entries:
% 0.45/0.60  ;     3 with value 14              1 with value 18               2 with value 19
% 0.45/0.60  ;     1 with value 16
% 0.45/0.60  ; The agenda of rows to give has 311 entries:
% 0.45/0.60  ;     1 with value (4 12)         52 with value (4 15)          22 with value (4 18)
% 0.45/0.60  ;    70 with value (4 13)         39 with value (4 16)          27 with value (4 19)
% 0.45/0.60  ;    51 with value (4 14)         39 with value (4 17)          10 with value (4 20)
% 0.45/0.60  Evaluation took:
% 0.45/0.60    0.142 seconds of real time
% 0.45/0.60    0.118996 seconds of user run time
% 0.45/0.60    0.022963 seconds of system run time
% 0.45/0.60    0 calls to %EVAL
% 0.45/0.60    0 page faults and
% 0.45/0.60    8,730,208 bytes consed.
% 0.45/0.60  :PROOF-FOUND
% 0.45/0.60  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T14:37:08
% 0.45/0.60  :PROOF-FOUND
% 0.45/0.60  * 
%------------------------------------------------------------------------------