TSTP Solution File: GEO185+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO185+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n007.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 06:14:38 EDT 2022

% Result   : Theorem 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   15 (   8 unt;   3 nHn;  13 RR)
%            Number of literals    :   23 (   0 equ;  13 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   11 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(9,axiom,
    ( ~ convergent_lines(X,Y)
    | ~ apart_point_and_line(intersection_point(X,Y),X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci3) ).

cnf(10,axiom,
    ( ~ convergent_lines(X,Y)
    | ~ apart_point_and_line(intersection_point(X,Y),Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci4) ).

cnf(12,axiom,
    ( ~ apart_point_and_line(X,Y)
    | distinct_points(X,Z)
    | apart_point_and_line(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq1) ).

cnf(34,axiom,
    ( ~ equal_points(X,Y)
    | ~ distinct_points(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',ax1) ).

cnf(41,axiom,
    ( incident_point_and_line(X,Y)
    | apart_point_and_line(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',a4) ).

cnf(45,negated_conjecture,
    convergent_lines('SKOLEMAAAV3','SKOLEMAAAV4'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(46,negated_conjecture,
    equal_points('SKOLEMAAAV1',intersection_point('SKOLEMAAAV3','SKOLEMAAAV4')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(47,negated_conjecture,
    ( ~ incident_point_and_line('SKOLEMAAAV1','SKOLEMAAAV3')
    | ~ incident_point_and_line('SKOLEMAAAV1','SKOLEMAAAV4') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(53,plain,
    ~ distinct_points('SKOLEMAAAV1',intersection_point('SKOLEMAAAV3','SKOLEMAAAV4')),
    inference('UR-RESOLVE',[status(thm)],[34,46]) ).

cnf(62,plain,
    ( apart_point_and_line('SKOLEMAAAV1','SKOLEMAAAV3')
    | apart_point_and_line('SKOLEMAAAV1','SKOLEMAAAV4') ),
    inference('HYPERRESOLVE',[status(thm)],[47,41,41]) ).

cnf(65,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV3'),
    inference('UR-RESOLVE',[status(thm)],[9,45]) ).

cnf(66,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV4'),
    inference('UR-RESOLVE',[status(thm)],[10,45]) ).

cnf(128,plain,
    ~ apart_point_and_line('SKOLEMAAAV1','SKOLEMAAAV3'),
    inference('UR-RESOLVE',[status(thm)],[12,65,53]) ).

cnf(129,plain,
    apart_point_and_line('SKOLEMAAAV1','SKOLEMAAAV4'),
    inference('REWRITE',[status(thm)],[62,128]) ).

cnf(136,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[12,129,53]),66]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO185+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n007.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 Jun 18 16:58:58 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T16:58:58
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-18T16:58:58
% 0.20/0.54  
% 0.20/0.54  
% 0.20/0.54  #||
% 0.20/0.54  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.54  % SZS output start Refutation
% See solution above
% 0.20/0.54  ||#
% 0.20/0.54  
% 0.20/0.54  ; Summary of computation:
% 0.20/0.54  ;       267 formulas have been input or derived (from 74 formulas).
% 0.20/0.54  ;       136 (51%) were retained.  Of these,
% 0.20/0.54  ;            3 ( 2%) were simplified or subsumed later,
% 0.20/0.54  ;          133 (98%) are still being kept.
% 0.20/0.54  ; 
% 0.20/0.54  ; Run time in seconds excluding printing time:
% 0.20/0.54  ;     0.011  18%   Read assertion file          (1 call)
% 0.20/0.54  ;     0.002   3%   Assert                       (36 calls)
% 0.20/0.54  ;     0.009  15%   Process new row              (249 calls)
% 0.20/0.54  ;     0.007  11%   Resolution                   (146 calls)
% 0.20/0.54  ;     0.000   0%   Paramodulation               (73 calls)
% 0.20/0.54  ;     0.000   0%   Factoring                    (6 calls)
% 0.20/0.54  ;     0.001   2%   Condensing                   (70 calls)
% 0.20/0.54  ;     0.004   7%   Forward subsumption          (70 calls)
% 0.20/0.54  ;     0.000   0%   Backward subsumption         (60 calls)
% 0.20/0.54  ;     0.000   0%   Clause clause subsumption    (120 calls)
% 0.20/0.54  ;     0.003   5%   Forward simplification       (249 calls)
% 0.20/0.54  ;     0.000   0%   Backward simplification      (136 calls)
% 0.20/0.54  ;     0.000   0%   Ordering                     (65 calls)
% 0.20/0.54  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.54  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.54  ;     0.024  39%   Other
% 0.20/0.54  ;     0.061        Total
% 0.20/0.54  ;     0.064        Real time
% 0.20/0.54  ; 
% 0.20/0.54  ; Term-hash-array has 162 terms in all.
% 0.20/0.54  ; Feature-vector-row-index has 57 entries (59 at peak, 60 added, 3 deleted).
% 0.20/0.54  ; Feature-vector-row-index has 100 nodes (112 at peak, 112 added, 12 deleted).
% 0.20/0.54  ;  Retrieved 82 possibly forward subsuming rows in 70 calls.
% 0.20/0.54  ;  Retrieved 46 possibly backward subsumed rows in 60 calls.
% 0.20/0.54  ; Path-index has 165 entries (165 at peak, 167 added, 2 deleted).
% 0.20/0.54  ; Path-index has 380 nodes (380 at peak, 380 added, 0 deleted).
% 0.20/0.54  ; Trie-index has 165 entries (165 at peak, 167 added, 2 deleted).
% 0.20/0.54  ; Trie-index has 347 nodes (347 at peak, 349 added, 2 deleted).
% 0.20/0.54  ; Retrieved 332 generalization terms in 370 calls.
% 0.20/0.54  ; Retrieved 90 instance terms in 75 calls.
% 0.20/0.54  ; Retrieved 3,610 unifiable terms in 801 calls.
% 0.20/0.54  ; 
% 0.20/0.54  ; The agenda of rows to process has 2 entries:
% 0.20/0.54  ;     2 with value 10
% 0.20/0.54  ; The agenda of rows to give has 60 entries:
% 0.20/0.54  ;     2 with value (4 6)           3 with value (4 10)           9 with value (4 13)
% 0.20/0.54  ;     4 with value (4 8)           3 with value (4 11)           7 with value (4 14)
% 0.20/0.54  ;    22 with value (4 9)           9 with value (4 12)           1 with value (4 18)
% 0.20/0.54  Evaluation took:
% 0.20/0.54    0.064 seconds of real time
% 0.20/0.54    0.055767 seconds of user run time
% 0.20/0.54    0.008578 seconds of system run time
% 0.20/0.54    0 calls to %EVAL
% 0.20/0.54    0 page faults and
% 0.20/0.54    3,668,760 bytes consed.
% 0.20/0.54  :PROOF-FOUND
% 0.20/0.54  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T16:58:58
% 0.20/0.54  :PROOF-FOUND
% 0.20/0.54  * 
%------------------------------------------------------------------------------