TSTP Solution File: GEO185+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO185+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n026.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 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   7 unt;   2 nHn;  10 RR)
%            Number of literals    :   16 (   0 equ;   9 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   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(9,axiom,
    ( ~ convergent_lines(X,Y)
    | ~ apart_point_and_line(intersection_point(X,Y),X) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq1) ).

cnf(16,negated_conjecture,
    convergent_lines('SKOLEMAAAV3','SKOLEMAAAV4'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(17,negated_conjecture,
    ~ distinct_points('SKOLEMAAAV1',intersection_point('SKOLEMAAAV3','SKOLEMAAAV4')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(18,negated_conjecture,
    ( apart_point_and_line('SKOLEMAAAV1','SKOLEMAAAV3')
    | apart_point_and_line('SKOLEMAAAV1','SKOLEMAAAV4') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(21,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV3'),
    inference('UR-RESOLVE',[status(thm)],[9,16]) ).

cnf(22,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV4'),
    inference('UR-RESOLVE',[status(thm)],[10,16]) ).

cnf(40,plain,
    ~ apart_point_and_line('SKOLEMAAAV1','SKOLEMAAAV3'),
    inference('UR-RESOLVE',[status(thm)],[12,21,17]) ).

cnf(41,plain,
    apart_point_and_line('SKOLEMAAAV1','SKOLEMAAAV4'),
    inference('REWRITE',[status(thm)],[18,40]) ).

cnf(44,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[12,41,17]),22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : GEO185+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n026.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 17:21:10 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T17:21:10
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-18T17:21:10
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  #||
% 0.19/0.50  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50  % SZS output start Refutation
% See solution above
% 0.19/0.50  ||#
% 0.19/0.50  
% 0.19/0.50  ; Summary of computation:
% 0.19/0.50  ;        85 formulas have been input or derived (from 27 formulas).
% 0.19/0.50  ;        44 (52%) were retained.  Of these,
% 0.19/0.50  ;            3 ( 7%) were simplified or subsumed later,
% 0.19/0.50  ;           41 (93%) are still being kept.
% 0.19/0.50  ; 
% 0.19/0.50  ; Run time in seconds excluding printing time:
% 0.19/0.50  ;     0.005  14%   Read assertion file          (1 call)
% 0.19/0.50  ;     0.000   0%   Assert                       (15 calls)
% 0.19/0.50  ;     0.002   6%   Process new row              (72 calls)
% 0.19/0.50  ;     0.001   3%   Resolution                   (52 calls)
% 0.19/0.50  ;     0.000   0%   Paramodulation               (26 calls)
% 0.19/0.50  ;     0.000   0%   Factoring                    (1 call)
% 0.19/0.50  ;     0.000   0%   Condensing                   (26 calls)
% 0.19/0.50  ;     0.001   3%   Forward subsumption          (26 calls)
% 0.19/0.50  ;     0.001   3%   Backward subsumption         (21 calls)
% 0.19/0.50  ;     0.000   0%   Clause clause subsumption    (11 calls)
% 0.19/0.50  ;     0.003   9%   Forward simplification       (72 calls)
% 0.19/0.50  ;     0.000   0%   Backward simplification      (44 calls)
% 0.19/0.50  ;     0.000   0%   Ordering                     (13 calls)
% 0.19/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.50  ;     0.001   3%   Purity testing               (1 call)
% 0.19/0.50  ;     0.021  60%   Other
% 0.19/0.50  ;     0.035        Total
% 0.19/0.50  ;     0.037        Real time
% 0.19/0.50  ; 
% 0.19/0.50  ; Term-hash-array has 56 terms in all.
% 0.19/0.50  ; Feature-vector-row-index has 18 entries (19 at peak, 21 added, 3 deleted).
% 0.19/0.50  ; Feature-vector-row-index has 35 nodes (50 at peak, 54 added, 19 deleted).
% 0.19/0.50  ;  Retrieved 8 possibly forward subsuming rows in 26 calls.
% 0.19/0.50  ;  Retrieved 3 possibly backward subsumed rows in 21 calls.
% 0.19/0.50  ; Path-index has 60 entries (60 at peak, 63 added, 3 deleted).
% 0.19/0.50  ; Path-index has 87 nodes (87 at peak, 87 added, 0 deleted).
% 0.19/0.50  ; Trie-index has 60 entries (60 at peak, 63 added, 3 deleted).
% 0.19/0.50  ; Trie-index has 90 nodes (90 at peak, 93 added, 3 deleted).
% 0.19/0.50  ; Retrieved 73 generalization terms in 96 calls.
% 0.19/0.50  ; Retrieved 22 instance terms in 22 calls.
% 0.19/0.50  ; Retrieved 815 unifiable terms in 254 calls.
% 0.19/0.50  ; 
% 0.19/0.50  ; The agenda of rows to process has 3 entries:
% 0.19/0.50  ;     3 with value 9
% 0.19/0.50  ; The agenda of rows to give has 15 entries:
% 0.19/0.50  ;     1 with value (4 6)           9 with value (4 9)            2 with value (4 10)
% 0.19/0.50  ;     3 with value (4 8)
% 0.19/0.50  Evaluation took:
% 0.19/0.50    0.037 seconds of real time
% 0.19/0.50    0.029952 seconds of user run time
% 0.19/0.50    0.007155 seconds of system run time
% 0.19/0.50    0 calls to %EVAL
% 0.19/0.50    0 page faults and
% 0.19/0.50    2,280,920 bytes consed.
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T17:21:10
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  * 
%------------------------------------------------------------------------------