TSTP Solution File: GEO192+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO192+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 06:14:44 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   16 (  11 unt;   2 nHn;  14 RR)
%            Number of literals    :   25 (   0 equ;  14 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   14 (   0 sgn)

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

cnf(2,axiom,
    ~ distinct_lines(X,X),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart2) ).

cnf(5,axiom,
    ( ~ distinct_lines(X,Y)
    | distinct_lines(X,Z)
    | distinct_lines(Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart5) ).

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(13,axiom,
    ( ~ apart_point_and_line(X,Y)
    | distinct_lines(Y,Z)
    | apart_point_and_line(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',ceq2) ).

cnf(15,negated_conjecture,
    convergent_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(16,negated_conjecture,
    apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV3'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(17,negated_conjecture,
    ( ~ distinct_lines('SKOLEMAAAV1','SKOLEMAAAV3')
    | ~ distinct_lines('SKOLEMAAAV2','SKOLEMAAAV3') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(23,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[9,15,1]) ).

cnf(24,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV2'),
    inference('UR-RESOLVE',[status(thm)],[10,15,1]) ).

cnf(29,plain,
    distinct_lines('SKOLEMAAAV3','SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[13,23,16]) ).

cnf(30,plain,
    distinct_lines('SKOLEMAAAV1','SKOLEMAAAV3'),
    inference('UR-RESOLVE',[status(thm)],[5,29,2]) ).

cnf(31,plain,
    ~ distinct_lines('SKOLEMAAAV2','SKOLEMAAAV3'),
    inference('REWRITE',[status(thm)],[17,30]) ).

cnf(34,plain,
    ~ distinct_lines('SKOLEMAAAV3','SKOLEMAAAV2'),
    inference('UR-RESOLVE',[status(thm)],[5,31,2]) ).

cnf(37,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[13,34,16]),24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GEO192+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13  % 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 : Fri Jun 17 16:13:54 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T16:13:54
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-17T16:13:54
% 0.20/0.51  
% 0.20/0.51  
% 0.20/0.51  #||
% 0.20/0.51  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.51  % SZS output start Refutation
% See solution above
% 0.20/0.51  ||#
% 0.20/0.51  
% 0.20/0.51  ; Summary of computation:
% 0.20/0.51  ;        72 formulas have been input or derived (from 26 formulas).
% 0.20/0.51  ;        37 (51%) were retained.  Of these,
% 0.20/0.51  ;            1 ( 3%) were simplified or subsumed later,
% 0.20/0.51  ;           36 (97%) are still being kept.
% 0.20/0.51  ; 
% 0.20/0.51  ; Run time in seconds excluding printing time:
% 0.20/0.51  ;     0.004  12%   Read assertion file          (1 call)
% 0.20/0.51  ;     0.001   3%   Assert                       (13 calls)
% 0.20/0.51  ;     0.001   3%   Process new row              (70 calls)
% 0.20/0.51  ;     0.003   9%   Resolution                   (50 calls)
% 0.20/0.51  ;     0.000   0%   Paramodulation               (25 calls)
% 0.20/0.51  ;     0.001   3%   Condensing                   (19 calls)
% 0.20/0.51  ;     0.001   3%   Forward subsumption          (19 calls)
% 0.20/0.51  ;     0.000   0%   Backward subsumption         (17 calls)
% 0.20/0.51  ;     0.000   0%   Clause clause subsumption    (6 calls)
% 0.20/0.51  ;     0.000   0%   Forward simplification       (70 calls)
% 0.20/0.51  ;     0.001   3%   Backward simplification      (37 calls)
% 0.20/0.51  ;     0.000   0%   Ordering                     (7 calls)
% 0.20/0.51  ;     0.001   3%   Sortal reasoning             (32 calls)
% 0.20/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.51  ;     0.021  62%   Other
% 0.20/0.51  ;     0.034        Total
% 0.20/0.51  ;     0.037        Real time
% 0.20/0.51  ; 
% 0.20/0.51  ; Term-hash-array has 52 terms in all.
% 0.20/0.51  ; Feature-vector-row-index has 16 entries (16 at peak, 17 added, 1 deleted).
% 0.20/0.51  ; Feature-vector-row-index has 40 nodes (45 at peak, 46 added, 6 deleted).
% 0.20/0.51  ;  Retrieved 4 possibly forward subsuming rows in 19 calls.
% 0.20/0.51  ;  Retrieved 2 possibly backward subsumed rows in 17 calls.
% 0.20/0.51  ; Path-index has 55 entries (55 at peak, 56 added, 1 deleted).
% 0.20/0.51  ; Path-index has 75 nodes (75 at peak, 75 added, 0 deleted).
% 0.20/0.51  ; Trie-index has 55 entries (55 at peak, 56 added, 1 deleted).
% 0.20/0.51  ; Trie-index has 70 nodes (70 at peak, 71 added, 1 deleted).
% 0.20/0.51  ; Retrieved 80 generalization terms in 86 calls.
% 0.20/0.51  ; Retrieved 19 instance terms in 19 calls.
% 0.20/0.51  ; Retrieved 700 unifiable terms in 196 calls.
% 0.20/0.51  ; 
% 0.20/0.51  ; The agenda of rows to give has 11 entries:
% 0.20/0.51  ;     2 with value (4 6)           3 with value (4 9)            1 with value (4 11)
% 0.20/0.51  ;     1 with value (4 7)           1 with value (4 10)           2 with value (4 12)
% 0.20/0.51  ;     1 with value (4 8)
% 0.20/0.51  Evaluation took:
% 0.20/0.51    0.037 seconds of real time
% 0.20/0.51    0.025704 seconds of user run time
% 0.20/0.51    0.011063 seconds of system run time
% 0.20/0.51    0 calls to %EVAL
% 0.20/0.51    0 page faults and
% 0.20/0.51    2,501,784 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T16:13:54
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  * 
%------------------------------------------------------------------------------