TSTP Solution File: GEO199+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO199+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 06:14:49 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   18 (  12 unt;   4 nHn;  15 RR)
%            Number of literals    :   31 (   0 equ;  15 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   :   18 (   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(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('SKOLEMAAAV1','SKOLEMAAAV2'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(18,negated_conjecture,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV3'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(19,negated_conjecture,
    apart_point_and_line(intersection_point('SKOLEMAAAV2','SKOLEMAAAV1'),'SKOLEMAAAV3'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(21,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[9,15]) ).

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

cnf(27,plain,
    convergent_lines('SKOLEMAAAV2','SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[6,15,3]) ).

cnf(32,plain,
    distinct_points(intersection_point('SKOLEMAAAV2','SKOLEMAAAV1'),intersection_point('SKOLEMAAAV1','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[12,19,18]) ).

cnf(36,plain,
    distinct_lines('SKOLEMAAAV2','SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[14,15,3]) ).

cnf(46,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV2','SKOLEMAAAV1'),'SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[10,27]) ).

cnf(47,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV2','SKOLEMAAAV1'),'SKOLEMAAAV2'),
    inference('UR-RESOLVE',[status(thm)],[9,27]) ).

cnf(76,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[11,47,36,46,24,21]),32]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO199+1 : 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 01:45:24 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 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/sandbox/benchmark/theBenchmark.p 2022-06-18T01:45:24
% 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 2022-06-18T01:45:24
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  #||
% 0.19/0.52  % SZS status Theorem for /export/starexec/sandbox/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  ;       196 formulas have been input or derived (from 45 formulas).
% 0.19/0.52  ;        76 (39%) were retained.  Of these,
% 0.19/0.52  ;           76 (100%) are still being kept.
% 0.19/0.52  ; 
% 0.19/0.52  ; Run time in seconds excluding printing time:
% 0.19/0.52  ;     0.004   9%   Read assertion file          (1 call)
% 0.19/0.52  ;     0.000   0%   Assert                       (15 calls)
% 0.19/0.52  ;     0.006  13%   Process new row              (166 calls)
% 0.19/0.52  ;     0.007  16%   Resolution                   (88 calls)
% 0.19/0.52  ;     0.000   0%   Paramodulation               (44 calls)
% 0.19/0.52  ;     0.000   0%   Factoring                    (6 calls)
% 0.19/0.52  ;     0.000   0%   Condensing                   (40 calls)
% 0.19/0.52  ;     0.000   0%   Forward subsumption          (40 calls)
% 0.19/0.52  ;     0.000   0%   Backward subsumption         (34 calls)
% 0.19/0.52  ;     0.000   0%   Clause clause subsumption    (37 calls)
% 0.19/0.52  ;     0.003   7%   Forward simplification       (166 calls)
% 0.19/0.52  ;     0.001   2%   Backward simplification      (76 calls)
% 0.19/0.52  ;     0.000   0%   Ordering                     (10 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  ;     0.023  51%   Other
% 0.19/0.52  ;     0.045        Total
% 0.19/0.52  ;     0.047        Real time
% 0.19/0.52  ; 
% 0.19/0.52  ; Term-hash-array has 82 terms in all.
% 0.19/0.52  ; Feature-vector-row-index has 34 entries (34 at peak, 34 added, 0 deleted).
% 0.19/0.52  ; Feature-vector-row-index has 68 nodes (68 at peak, 68 added, 0 deleted).
% 0.19/0.52  ;  Retrieved 32 possibly forward subsuming rows in 40 calls.
% 0.19/0.52  ;  Retrieved 5 possibly backward subsumed rows in 34 calls.
% 0.19/0.52  ; Path-index has 85 entries (85 at peak, 85 added, 0 deleted).
% 0.19/0.52  ; Path-index has 88 nodes (88 at peak, 88 added, 0 deleted).
% 0.19/0.52  ; Trie-index has 85 entries (85 at peak, 85 added, 0 deleted).
% 0.19/0.52  ; Trie-index has 122 nodes (122 at peak, 122 added, 0 deleted).
% 0.19/0.52  ; Retrieved 194 generalization terms in 209 calls.
% 0.19/0.52  ; Retrieved 41 instance terms in 41 calls.
% 0.19/0.52  ; Retrieved 2,752 unifiable terms in 722 calls.
% 0.19/0.52  ; 
% 0.19/0.52  ; The agenda of rows to process has 7 entries:
% 0.19/0.52  ;     7 with value 12
% 0.19/0.52  ; The agenda of rows to give has 31 entries:
% 0.19/0.52  ;     2 with value (4 9)           6 with value (4 11)           9 with value (4 14)
% 0.19/0.52  ;     7 with value (4 10)          7 with value (4 12)
% 0.19/0.52  Evaluation took:
% 0.19/0.52    0.047 seconds of real time
% 0.19/0.52    0.041111 seconds of user run time
% 0.19/0.52    0.006266 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    3,128,048 bytes consed.
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T01:45:24
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  * 
%------------------------------------------------------------------------------