TSTP Solution File: GEO226+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO226+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n010.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 06:15:12 EDT 2022

% Result   : Theorem 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   4 unt;   2 nHn;   7 RR)
%            Number of literals    :   14 (   0 equ;   8 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
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(41,axiom,
    ( incident_point_and_line(X,Y)
    | apart_point_and_line(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',a4) ).

cnf(46,negated_conjecture,
    convergent_lines('SKOLEMAAAU1','SKOLEMAAAU2'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(48,negated_conjecture,
    ( ~ incident_point_and_line(X,'SKOLEMAAAU1')
    | ~ incident_point_and_line(X,'SKOLEMAAAU2') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(64,plain,
    ( apart_point_and_line(X,'SKOLEMAAAU1')
    | apart_point_and_line(X,'SKOLEMAAAU2') ),
    inference('HYPERRESOLVE',[status(thm)],[48,41,41]) ).

cnf(69,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAU1','SKOLEMAAAU2'),'SKOLEMAAAU1'),
    inference('UR-RESOLVE',[status(thm)],[9,46]) ).

cnf(70,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAU1','SKOLEMAAAU2'),'SKOLEMAAAU2'),
    inference('UR-RESOLVE',[status(thm)],[10,46]) ).

cnf(143,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[64,69,70]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO226+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.12/0.32  % Computer : n010.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Sat Jun 18 02:33:53 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.18/0.43  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44  * 
% 0.18/0.44  * 
% 0.18/0.44  #<PACKAGE "SNARK-USER">
% 0.18/0.44  * 
% 0.18/0.44  SNARK-TPTP-OPTIONS
% 0.18/0.44  * 
% 0.18/0.44  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.44   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.44   (USE-FACTORING :POS)
% 0.18/0.44   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.44   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.44   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.44   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.44   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.44   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.44   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.44   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.44   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.44   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.44  * 
% 0.18/0.44  "."
% 0.18/0.44  * 
% 0.18/0.44  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T02:33:53
% 0.18/0.44  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-18T02:33:53
% 0.18/0.51  
% 0.18/0.51  
% 0.18/0.51  #||
% 0.18/0.51  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.51  % SZS output start Refutation
% See solution above
% 0.18/0.51  ||#
% 0.18/0.51  
% 0.18/0.51  ; Summary of computation:
% 0.18/0.51  ;       282 formulas have been input or derived (from 76 formulas).
% 0.18/0.51  ;       143 (51%) were retained.  Of these,
% 0.18/0.51  ;            5 ( 3%) were simplified or subsumed later,
% 0.18/0.51  ;          138 (97%) are still being kept.
% 0.18/0.51  ; 
% 0.18/0.51  ; Run time in seconds:
% 0.18/0.51  ;     0.011  17%   Read assertion file          (1 call)
% 0.18/0.51  ;     0.002   3%   Assert                       (36 calls)
% 0.18/0.51  ;     0.010  16%   Process new row              (263 calls)
% 0.18/0.51  ;     0.009  14%   Resolution                   (150 calls)
% 0.18/0.51  ;     0.001   2%   Paramodulation               (75 calls)
% 0.18/0.51  ;     0.000   0%   Factoring                    (7 calls)
% 0.18/0.51  ;     0.001   2%   Condensing                   (69 calls)
% 0.18/0.51  ;     0.003   5%   Forward subsumption          (69 calls)
% 0.18/0.51  ;     0.001   2%   Backward subsumption         (61 calls)
% 0.18/0.51  ;     0.000   0%   Clause clause subsumption    (119 calls)
% 0.18/0.51  ;     0.003   5%   Forward simplification       (263 calls)
% 0.18/0.51  ;     0.000   0%   Backward simplification      (143 calls)
% 0.18/0.51  ;     0.001   2%   Ordering                     (61 calls)
% 0.18/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.51  ;     0.022  34%   Other
% 0.18/0.51  ;     0.064        Total
% 0.18/0.51  ;     0.064        Real time
% 0.18/0.51  ; 
% 0.18/0.51  ; Term-hash-array has 168 terms in all.
% 0.18/0.51  ; Feature-vector-row-index has 56 entries (56 at peak, 61 added, 5 deleted).
% 0.18/0.51  ; Feature-vector-row-index has 92 nodes (92 at peak, 105 added, 13 deleted).
% 0.18/0.51  ;  Retrieved 80 possibly forward subsuming rows in 69 calls.
% 0.18/0.51  ;  Retrieved 46 possibly backward subsumed rows in 61 calls.
% 0.18/0.51  ; Path-index has 167 entries (167 at peak, 174 added, 7 deleted).
% 0.18/0.51  ; Path-index has 373 nodes (373 at peak, 382 added, 9 deleted).
% 0.18/0.51  ; Trie-index has 167 entries (167 at peak, 174 added, 7 deleted).
% 0.18/0.51  ; Trie-index has 365 nodes (365 at peak, 378 added, 13 deleted).
% 0.18/0.51  ; Retrieved 349 generalization terms in 377 calls.
% 0.18/0.51  ; Retrieved 96 instance terms in 81 calls.
% 0.18/0.51  ; Retrieved 3,943 unifiable terms in 840 calls.
% 0.18/0.51  ; 
% 0.18/0.51  ; The agenda of rows to process has 8 entries:
% 0.18/0.51  ;     4 with value 9               1 with value 12               2 with value 14
% 0.18/0.51  ;     1 with value 10
% 0.18/0.51  ; The agenda of rows to give has 62 entries:
% 0.18/0.51  ;    21 with value (4 9)          13 with value (4 11)           9 with value (4 13)
% 0.18/0.51  ;     3 with value (4 10)          9 with value (4 12)           7 with value (4 14)
% 0.18/0.51  Evaluation took:
% 0.18/0.51    0.066 seconds of real time
% 0.18/0.51    0.055526 seconds of user run time
% 0.18/0.51    0.009926 seconds of system run time
% 0.18/0.51    0 calls to %EVAL
% 0.18/0.51    0 page faults and
% 0.18/0.51    3,303,928 bytes consed.
% 0.18/0.51  :PROOF-FOUND
% 0.18/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T02:33:53
% 0.18/0.51  :PROOF-FOUND
% 0.18/0.51  * 
%------------------------------------------------------------------------------