TSTP Solution File: GEO201+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO201+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n017.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 06:14:52 EDT 2022

% Result   : Theorem 0.35s 0.53s
% Output   : Refutation 0.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   17 (  11 unt;   4 nHn;  14 RR)
%            Number of literals    :   29 (   0 equ;  14 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   17 (   0 sgn)

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

cnf(6,axiom,
    ( ~ convergent_lines(X,Y)
    | convergent_lines(X,Z)
    | convergent_lines(Y,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ax6) ).

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

cnf(44,negated_conjecture,
    convergent_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(45,negated_conjecture,
    ~ equal_points(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),intersection_point('SKOLEMAAAV2','SKOLEMAAAV1')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(58,plain,
    distinct_points(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),intersection_point('SKOLEMAAAV2','SKOLEMAAAV1')),
    inference('HYPERRESOLVE',[status(thm)],[45,35]) ).

cnf(59,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[9,44]) ).

cnf(60,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV2'),
    inference('UR-RESOLVE',[status(thm)],[10,44]) ).

cnf(61,plain,
    convergent_lines('SKOLEMAAAV2','SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[6,44,3]) ).

cnf(65,plain,
    distinct_lines('SKOLEMAAAV2','SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[14,44,3]) ).

cnf(79,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV2','SKOLEMAAAV1'),'SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[10,61]) ).

cnf(80,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV2','SKOLEMAAAV1'),'SKOLEMAAAV2'),
    inference('UR-RESOLVE',[status(thm)],[9,61]) ).

cnf(142,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[11,80,65,60,59,79]),58]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO201+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jun 18 00:30:42 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-18T00:30:42
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-18T00:30:42
% 0.35/0.53  
% 0.35/0.53  
% 0.35/0.53  #||
% 0.35/0.53  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/0.53  % SZS output start Refutation
% See solution above
% 0.35/0.53  ||#
% 0.35/0.53  
% 0.35/0.53  ; Summary of computation:
% 0.35/0.53  ;       319 formulas have been input or derived (from 74 formulas).
% 0.35/0.53  ;       142 (45%) were retained.  Of these,
% 0.35/0.53  ;            1 ( 1%) were simplified or subsumed later,
% 0.35/0.53  ;          141 (99%) are still being kept.
% 0.35/0.53  ; 
% 0.35/0.53  ; Run time in seconds excluding printing time:
% 0.35/0.53  ;     0.010  15%   Read assertion file          (1 call)
% 0.35/0.53  ;     0.002   3%   Assert                       (36 calls)
% 0.35/0.53  ;     0.017  26%   Process new row              (298 calls)
% 0.35/0.53  ;     0.006   9%   Resolution                   (146 calls)
% 0.35/0.53  ;     0.000   0%   Paramodulation               (73 calls)
% 0.35/0.53  ;     0.000   0%   Factoring                    (9 calls)
% 0.35/0.53  ;     0.000   0%   Condensing                   (84 calls)
% 0.35/0.53  ;     0.004   6%   Forward subsumption          (84 calls)
% 0.35/0.53  ;     0.000   0%   Backward subsumption         (68 calls)
% 0.35/0.53  ;     0.000   0%   Clause clause subsumption    (181 calls)
% 0.35/0.53  ;     0.005   8%   Forward simplification       (298 calls)
% 0.35/0.53  ;     0.001   2%   Backward simplification      (142 calls)
% 0.35/0.53  ;     0.000   0%   Ordering                     (116 calls)
% 0.35/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.35/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.35/0.53  ;     0.021  32%   Other
% 0.35/0.53  ;     0.066        Total
% 0.35/0.53  ;     0.069        Real time
% 0.35/0.53  ; 
% 0.35/0.53  ; Term-hash-array has 163 terms in all.
% 0.35/0.53  ; Feature-vector-row-index has 67 entries (67 at peak, 68 added, 1 deleted).
% 0.35/0.53  ; Feature-vector-row-index has 127 nodes (127 at peak, 127 added, 0 deleted).
% 0.35/0.53  ;  Retrieved 141 possibly forward subsuming rows in 84 calls.
% 0.35/0.53  ;  Retrieved 52 possibly backward subsumed rows in 68 calls.
% 0.35/0.53  ; Path-index has 165 entries (165 at peak, 165 added, 0 deleted).
% 0.35/0.53  ; Path-index has 363 nodes (363 at peak, 363 added, 0 deleted).
% 0.35/0.53  ; Trie-index has 165 entries (165 at peak, 165 added, 0 deleted).
% 0.35/0.53  ; Trie-index has 331 nodes (331 at peak, 331 added, 0 deleted).
% 0.35/0.53  ; Retrieved 494 generalization terms in 502 calls.
% 0.35/0.53  ; Retrieved 87 instance terms in 73 calls.
% 0.35/0.53  ; Retrieved 4,593 unifiable terms in 938 calls.
% 0.35/0.53  ; 
% 0.35/0.53  ; The agenda of rows to process has 3 entries:
% 0.35/0.53  ;     3 with value 12
% 0.35/0.53  ; The agenda of rows to give has 67 entries:
% 0.35/0.53  ;    16 with value (4 9)          12 with value (4 12)           7 with value (4 18)
% 0.35/0.53  ;     6 with value (4 10)          9 with value (4 13)           1 with value (4 22)
% 0.35/0.53  ;     5 with value (4 11)         11 with value (4 14)
% 0.35/0.53  Evaluation took:
% 0.35/0.53    0.069 seconds of real time
% 0.35/0.53    0.060658 seconds of user run time
% 0.35/0.53    0.009193 seconds of system run time
% 0.35/0.53    0 calls to %EVAL
% 0.35/0.53    0 page faults and
% 0.35/0.53    4,061,504 bytes consed.
% 0.35/0.53  :PROOF-FOUND
% 0.35/0.53  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T00:30:42
% 0.35/0.53  :PROOF-FOUND
% 0.35/0.53  * 
%------------------------------------------------------------------------------