TSTP Solution File: GEO224+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO224+3 : TPTP v8.1.0. Released v4.0.0.
% 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 06:15:11 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   13 (   8 unt;   3 nHn;   9 RR)
%            Number of literals    :   20 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   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   :   19 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ~ convergent_lines(X,X),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart3) ).

cnf(6,axiom,
    ( ~ convergent_lines(X,Y)
    | convergent_lines(X,Z)
    | convergent_lines(Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ax6) ).

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/GEO006+0.ax',ceq2) ).

cnf(15,axiom,
    ( ~ distinct_lines(X,Y)
    | convergent_lines(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+1.ax',p1) ).

cnf(16,axiom,
    ~ convergent_lines(parallel_through_point(X,Y),X),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cp1) ).

cnf(17,axiom,
    ~ apart_point_and_line(X,parallel_through_point(Y,X)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cp2) ).

cnf(41,axiom,
    ( incident_point_and_line(X,Y)
    | apart_point_and_line(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',a4) ).

cnf(44,negated_conjecture,
    point('SKOLEMAAAV1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(46,negated_conjecture,
    ( ~ point(X)
    | ~ incident_point_and_line(X,'SKOLEMAAAV2') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(56,plain,
    apart_point_and_line('SKOLEMAAAV1','SKOLEMAAAV2'),
    inference('HYPERRESOLVE',[status(thm)],[46,41,44]) ).

cnf(60,plain,
    ~ convergent_lines(X,parallel_through_point(X,Y)),
    inference('UR-RESOLVE',[status(thm)],[6,3,16]) ).

cnf(65,plain,
    distinct_lines('SKOLEMAAAV2',parallel_through_point(X,'SKOLEMAAAV1')),
    inference('UR-RESOLVE',[status(thm)],[13,56,17]) ).

cnf(98,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[15,65,60]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO224+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % 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 : Fri Jun 17 15:38:54 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45  * 
% 0.20/0.45  * 
% 0.20/0.46  #<PACKAGE "SNARK-USER">
% 0.20/0.46  * 
% 0.20/0.46  SNARK-TPTP-OPTIONS
% 0.20/0.46  * 
% 0.20/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46   (USE-FACTORING :POS)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46  * 
% 0.20/0.46  "."
% 0.20/0.46  * 
% 0.20/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T15:38:54
% 0.20/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-17T15:38:54
% 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  ;       185 formulas have been input or derived (from 64 formulas).
% 0.20/0.51  ;        98 (53%) were retained.  Of these,
% 0.20/0.51  ;            1 ( 1%) were simplified or subsumed later,
% 0.20/0.51  ;           97 (99%) are still being kept.
% 0.20/0.51  ; 
% 0.20/0.51  ; Run time in seconds excluding printing time:
% 0.20/0.51  ;     0.010  20%   Read assertion file          (1 call)
% 0.20/0.51  ;     0.001   2%   Assert                       (36 calls)
% 0.20/0.51  ;     0.009  18%   Process new row              (166 calls)
% 0.20/0.51  ;     0.002   4%   Resolution                   (126 calls)
% 0.20/0.51  ;     0.000   0%   Paramodulation               (63 calls)
% 0.20/0.51  ;     0.000   0%   Factoring                    (6 calls)
% 0.20/0.51  ;     0.000   0%   Condensing                   (45 calls)
% 0.20/0.51  ;     0.000   0%   Forward subsumption          (45 calls)
% 0.20/0.51  ;     0.000   0%   Backward subsumption         (42 calls)
% 0.20/0.51  ;     0.000   0%   Clause clause subsumption    (28 calls)
% 0.20/0.51  ;     0.003   6%   Forward simplification       (166 calls)
% 0.20/0.51  ;     0.001   2%   Backward simplification      (98 calls)
% 0.20/0.51  ;     0.000   0%   Ordering                     (20 calls)
% 0.20/0.51  ;     0.001   2%   Sortal reasoning             (32 calls)
% 0.20/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.51  ;     0.024  47%   Other
% 0.20/0.51  ;     0.051        Total
% 0.20/0.51  ;     0.053        Real time
% 0.20/0.51  ; 
% 0.20/0.51  ; Term-hash-array has 127 terms in all.
% 0.20/0.51  ; Feature-vector-row-index has 41 entries (41 at peak, 42 added, 1 deleted).
% 0.20/0.51  ; Feature-vector-row-index has 73 nodes (73 at peak, 73 added, 0 deleted).
% 0.20/0.51  ;  Retrieved 18 possibly forward subsuming rows in 45 calls.
% 0.20/0.51  ;  Retrieved 15 possibly backward subsumed rows in 42 calls.
% 0.20/0.51  ; Path-index has 129 entries (129 at peak, 129 added, 0 deleted).
% 0.20/0.51  ; Path-index has 337 nodes (337 at peak, 337 added, 0 deleted).
% 0.20/0.51  ; Trie-index has 129 entries (129 at peak, 129 added, 0 deleted).
% 0.20/0.51  ; Trie-index has 280 nodes (280 at peak, 280 added, 0 deleted).
% 0.20/0.51  ; Retrieved 205 generalization terms in 216 calls.
% 0.20/0.51  ; Retrieved 68 instance terms in 55 calls.
% 0.20/0.51  ; Retrieved 2,207 unifiable terms in 601 calls.
% 0.20/0.51  ; 
% 0.20/0.51  ; The agenda of rows to process has 9 entries:
% 0.20/0.51  ;     1 with value 7               1 with value 14               1 with value 25
% 0.20/0.51  ;     6 with value 10
% 0.20/0.51  ; The agenda of rows to give has 33 entries:
% 0.20/0.51  ;     9 with value (4 9)           8 with value (4 11)           3 with value (4 13)
% 0.20/0.51  ;     3 with value (4 10)          9 with value (4 12)           1 with value (4 14)
% 0.20/0.51  Evaluation took:
% 0.20/0.51    0.054 seconds of real time
% 0.20/0.51    0.042539 seconds of user run time
% 0.20/0.51    0.010883 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    3,029,864 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T15:38:54
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  * 
%------------------------------------------------------------------------------