TSTP Solution File: GEO215+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO215+2 : 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 06:15:03 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   12 (   8 unt;   1 nHn;  11 RR)
%            Number of literals    :   21 (   0 equ;  11 neg)
%            Maximal clause size   :    5 (   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   :   13 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ~ distinct_points(X,X),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart1) ).

cnf(9,axiom,
    ( ~ convergent_lines(X,Y)
    | ~ apart_point_and_line(Z,X)
    | distinct_points(Z,intersection_point(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',con2) ).

cnf(10,axiom,
    ( ~ convergent_lines(X,Y)
    | ~ apart_point_and_line(Z,Y)
    | distinct_points(Z,intersection_point(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',con2) ).

cnf(14,axiom,
    ( ~ convergent_lines(X,Y)
    | distinct_lines(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',ceq3) ).

cnf(24,axiom,
    ( ~ distinct_lines(X,Y)
    | apart_point_and_line(Z,X)
    | apart_point_and_line(Z,Y)
    | unorthogonal_lines(X,U)
    | unorthogonal_lines(Y,U) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',ouo1) ).

cnf(25,negated_conjecture,
    convergent_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(26,negated_conjecture,
    ~ unorthogonal_lines('SKOLEMAAAV1','SKOLEMAAAV3'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(27,negated_conjecture,
    ~ unorthogonal_lines('SKOLEMAAAV2','SKOLEMAAAV3'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(28,plain,
    distinct_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
    inference('HYPERRESOLVE',[status(thm)],[14,25]) ).

cnf(38,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[9,25,1]) ).

cnf(39,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV2'),
    inference('UR-RESOLVE',[status(thm)],[10,25,1]) ).

cnf(90,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[24,38,28,26,27]),39]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO215+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 14:18:54 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  * 
% 0.19/0.47  #<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 2022-06-18T14:18:55
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-18T14:18:55
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  #||
% 0.19/0.52  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52  % SZS output start Refutation
% See solution above
% 0.19/0.52  ||#
% 0.19/0.52  
% 0.19/0.52  ; Summary of computation:
% 0.19/0.52  ;       232 formulas have been input or derived (from 48 formulas).
% 0.19/0.52  ;        90 (39%) were retained.  Of these,
% 0.19/0.52  ;           90 (100%) are still being kept.
% 0.19/0.52  ; 
% 0.19/0.52  ; Run time in seconds excluding printing time:
% 0.19/0.52  ;     0.006  12%   Read assertion file          (1 call)
% 0.19/0.52  ;     0.001   2%   Assert                       (21 calls)
% 0.19/0.52  ;     0.009  18%   Process new row              (211 calls)
% 0.19/0.52  ;     0.002   4%   Resolution                   (94 calls)
% 0.19/0.52  ;     0.000   0%   Paramodulation               (47 calls)
% 0.19/0.52  ;     0.000   0%   Factoring                    (1 call)
% 0.19/0.52  ;     0.000   0%   Condensing                   (37 calls)
% 0.19/0.52  ;     0.001   2%   Forward subsumption          (37 calls)
% 0.19/0.52  ;     0.001   2%   Backward subsumption         (27 calls)
% 0.19/0.52  ;     0.000   0%   Clause clause subsumption    (18 calls)
% 0.19/0.52  ;     0.003   6%   Forward simplification       (211 calls)
% 0.19/0.52  ;     0.001   2%   Backward simplification      (90 calls)
% 0.19/0.52  ;     0.000   0%   Ordering                     (27 calls)
% 0.19/0.52  ;     0.001   2%   Sortal reasoning             (32 calls)
% 0.19/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.52  ;     0.024  49%   Other
% 0.19/0.52  ;     0.049        Total
% 0.19/0.52  ;     0.051        Real time
% 0.19/0.52  ; 
% 0.19/0.52  ; Term-hash-array has 123 terms in all.
% 0.19/0.52  ; Feature-vector-row-index has 27 entries (27 at peak, 27 added, 0 deleted).
% 0.19/0.52  ; Feature-vector-row-index has 58 nodes (58 at peak, 58 added, 0 deleted).
% 0.19/0.52  ;  Retrieved 15 possibly forward subsuming rows in 37 calls.
% 0.19/0.52  ;  Retrieved 3 possibly backward subsumed rows in 27 calls.
% 0.19/0.52  ; Path-index has 126 entries (126 at peak, 126 added, 0 deleted).
% 0.19/0.52  ; Path-index has 232 nodes (232 at peak, 232 added, 0 deleted).
% 0.19/0.52  ; Trie-index has 126 entries (126 at peak, 126 added, 0 deleted).
% 0.19/0.52  ; Trie-index has 238 nodes (238 at peak, 238 added, 0 deleted).
% 0.19/0.52  ; Retrieved 288 generalization terms in 314 calls.
% 0.19/0.52  ; Retrieved 70 instance terms in 62 calls.
% 0.19/0.52  ; Retrieved 3,369 unifiable terms in 741 calls.
% 0.19/0.52  ; 
% 0.19/0.52  ; The agenda of rows to process has 9 entries:
% 0.19/0.52  ;     1 with value 9               1 with value 11               6 with value 12
% 0.19/0.52  ;     1 with value 10
% 0.19/0.52  ; The agenda of rows to give has 42 entries:
% 0.19/0.52  ;     1 with value (4 8)           3 with value (4 11)           3 with value (4 14)
% 0.19/0.52  ;    16 with value (4 9)           5 with value (4 12)           1 with value (4 18)
% 0.19/0.52  ;     8 with value (4 10)          3 with value (4 13)           2 with value (4 19)
% 0.19/0.52  Evaluation took:
% 0.19/0.52    0.051 seconds of real time
% 0.19/0.52    0.048454 seconds of user run time
% 0.19/0.52    0.003276 seconds of system run time
% 0.19/0.52    0 calls to %EVAL
% 0.19/0.52    0 page faults and
% 0.19/0.52    2,906,992 bytes consed.
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T14:18:55
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  * 
%------------------------------------------------------------------------------