TSTP Solution File: GEO194+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO194+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 06:14:45 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   17 (  12 unt;   3 nHn;  15 RR)
%            Number of literals    :   28 (   0 equ;  14 neg)
%            Maximal clause size   :    6 (   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   :   15 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ~ convergent_lines(X,X),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart3) ).

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(11,axiom,
    ( ~ distinct_points(X,Y)
    | ~ distinct_lines(Z,U)
    | apart_point_and_line(X,Z)
    | apart_point_and_line(X,U)
    | apart_point_and_line(Y,Z)
    | apart_point_and_line(Y,U) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',cu1) ).

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(14,axiom,
    ( ~ convergent_lines(X,Y)
    | distinct_lines(Y,Z)
    | convergent_lines(X,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq3) ).

cnf(15,negated_conjecture,
    convergent_lines('SKOLEMAAAU1','SKOLEMAAAU2'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(17,negated_conjecture,
    convergent_lines('SKOLEMAAAU1','SKOLEMAAAU3'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(18,negated_conjecture,
    apart_point_and_line(intersection_point('SKOLEMAAAU1','SKOLEMAAAU2'),'SKOLEMAAAU3'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(19,negated_conjecture,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAU1','SKOLEMAAAU3'),'SKOLEMAAAU2'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(20,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAU1','SKOLEMAAAU3'),'SKOLEMAAAU1'),
    inference('UR-RESOLVE',[status(thm)],[9,17]) ).

cnf(21,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAU1','SKOLEMAAAU2'),'SKOLEMAAAU1'),
    inference('UR-RESOLVE',[status(thm)],[9,15]) ).

cnf(23,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAU1','SKOLEMAAAU3'),'SKOLEMAAAU3'),
    inference('UR-RESOLVE',[status(thm)],[10,17]) ).

cnf(24,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAU1','SKOLEMAAAU2'),'SKOLEMAAAU2'),
    inference('UR-RESOLVE',[status(thm)],[10,15]) ).

cnf(35,plain,
    distinct_lines('SKOLEMAAAU2','SKOLEMAAAU1'),
    inference('UR-RESOLVE',[status(thm)],[14,15,3]) ).

cnf(56,plain,
    distinct_points(intersection_point('SKOLEMAAAU1','SKOLEMAAAU2'),intersection_point('SKOLEMAAAU1','SKOLEMAAAU3')),
    inference('UR-RESOLVE',[status(thm)],[12,23,18]) ).

cnf(57,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[11,24,35,21,19,20]),56]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GEO194+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12  % 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 11:41:24 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 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/sandbox/benchmark/theBenchmark.p 2022-06-18T11:41:24
% 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 2022-06-18T11:41:24
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  #||
% 0.19/0.50  % SZS status Theorem for /export/starexec/sandbox/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  ;       129 formulas have been input or derived (from 34 formulas).
% 0.19/0.50  ;        57 (44%) were retained.  Of these,
% 0.19/0.50  ;           57 (100%) are still being kept.
% 0.19/0.50  ; 
% 0.19/0.50  ; Run time in seconds excluding printing time:
% 0.19/0.50  ;     0.004  11%   Read assertion file          (1 call)
% 0.19/0.50  ;     0.001   3%   Assert                       (15 calls)
% 0.19/0.50  ;     0.002   5%   Process new row              (106 calls)
% 0.19/0.50  ;     0.006  16%   Resolution                   (66 calls)
% 0.19/0.50  ;     0.000   0%   Paramodulation               (33 calls)
% 0.19/0.50  ;     0.000   0%   Condensing                   (31 calls)
% 0.19/0.50  ;     0.003   8%   Forward subsumption          (31 calls)
% 0.19/0.50  ;     0.000   0%   Backward subsumption         (25 calls)
% 0.19/0.50  ;     0.000   0%   Clause clause subsumption    (16 calls)
% 0.19/0.50  ;     0.000   0%   Forward simplification       (106 calls)
% 0.19/0.50  ;     0.000   0%   Backward simplification      (57 calls)
% 0.19/0.50  ;     0.000   0%   Ordering                     (7 calls)
% 0.19/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.50  ;     0.021  57%   Other
% 0.19/0.50  ;     0.037        Total
% 0.19/0.50  ;     0.039        Real time
% 0.19/0.50  ; 
% 0.19/0.50  ; Term-hash-array has 68 terms in all.
% 0.19/0.50  ; Feature-vector-row-index has 25 entries (25 at peak, 25 added, 0 deleted).
% 0.19/0.50  ; Feature-vector-row-index has 50 nodes (50 at peak, 50 added, 0 deleted).
% 0.19/0.50  ;  Retrieved 11 possibly forward subsuming rows in 31 calls.
% 0.19/0.50  ;  Retrieved 5 possibly backward subsumed rows in 25 calls.
% 0.19/0.50  ; Path-index has 71 entries (71 at peak, 71 added, 0 deleted).
% 0.19/0.50  ; Path-index has 83 nodes (83 at peak, 83 added, 0 deleted).
% 0.19/0.50  ; Trie-index has 71 entries (71 at peak, 71 added, 0 deleted).
% 0.19/0.50  ; Trie-index has 96 nodes (96 at peak, 96 added, 0 deleted).
% 0.19/0.50  ; Retrieved 116 generalization terms in 131 calls.
% 0.19/0.50  ; Retrieved 31 instance terms in 31 calls.
% 0.19/0.50  ; Retrieved 1,542 unifiable terms in 427 calls.
% 0.19/0.50  ; 
% 0.19/0.50  ; The agenda of rows to process has 7 entries:
% 0.19/0.50  ;     3 with value 11              4 with value 12
% 0.19/0.50  ; The agenda of rows to give has 23 entries:
% 0.19/0.50  ;     1 with value (4 8)           6 with value (4 10)           2 with value (4 12)
% 0.19/0.50  ;    12 with value (4 9)           2 with value (4 11)
% 0.19/0.50  Evaluation took:
% 0.19/0.50    0.039 seconds of real time
% 0.19/0.50    0.028903 seconds of user run time
% 0.19/0.50    0.01031 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    2,796,448 bytes consed.
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T11:41:24
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  * 
%------------------------------------------------------------------------------