TSTP Solution File: GEO218+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO218+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n028.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 06:15:06 EDT 2022

% Result   : Theorem 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   17 (  11 unt;   4 nHn;  13 RR)
%            Number of literals    :   26 (   0 equ;  12 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   15 (   0 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(18,axiom,
    ( convergent_lines(X,Y)
    | unorthogonal_lines(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',occu1) ).

cnf(26,axiom,
    ( convergent_lines(X,Y)
    | unorthogonal_lines(X,Z)
    | ~ convergent_lines(Y,Z)
    | ~ unorthogonal_lines(Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+4.ax',cotno1) ).

cnf(38,axiom,
    ( ~ parallel_lines(X,Y)
    | ~ convergent_lines(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',a3) ).

cnf(42,axiom,
    ( ~ orthogonal_lines(X,Y)
    | ~ unorthogonal_lines(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',a5) ).

cnf(43,axiom,
    ( orthogonal_lines(X,Y)
    | unorthogonal_lines(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',a5) ).

cnf(44,negated_conjecture,
    parallel_lines('SKOLEMAAAU1','SKOLEMAAAU2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(45,negated_conjecture,
    orthogonal_lines('SKOLEMAAAU1','SKOLEMAAAU3'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(46,negated_conjecture,
    ~ orthogonal_lines('SKOLEMAAAU2','SKOLEMAAAU3'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(53,plain,
    ~ convergent_lines('SKOLEMAAAU1','SKOLEMAAAU2'),
    inference('UR-RESOLVE',[status(thm)],[38,44]) ).

cnf(58,plain,
    convergent_lines('SKOLEMAAAU1','SKOLEMAAAU3'),
    inference('HYPERRESOLVE',[status(thm)],[42,45,18]) ).

cnf(59,plain,
    ~ unorthogonal_lines('SKOLEMAAAU1','SKOLEMAAAU3'),
    inference('UR-RESOLVE',[status(thm)],[42,45]) ).

cnf(60,plain,
    unorthogonal_lines('SKOLEMAAAU2','SKOLEMAAAU3'),
    inference('UR-RESOLVE',[status(thm)],[43,46]) ).

cnf(73,plain,
    convergent_lines('SKOLEMAAAU3','SKOLEMAAAU2'),
    inference('UR-RESOLVE',[status(thm)],[6,58,53]) ).

cnf(82,plain,
    ~ convergent_lines('SKOLEMAAAU2','SKOLEMAAAU3'),
    inference('UR-RESOLVE',[status(thm)],[26,60,53,59]) ).

cnf(99,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[6,73,3]),82]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : GEO218+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.11/0.33  % Computer : n028.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Sat Jun 18 04:31:29 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T04:31:29
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-18T04:31:29
% 0.18/0.51  
% 0.18/0.51  
% 0.18/0.51  #||
% 0.18/0.51  % SZS status Theorem for /export/starexec/sandbox2/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  ;       212 formulas have been input or derived (from 62 formulas).
% 0.18/0.51  ;        99 (47%) were retained.  Of these,
% 0.18/0.51  ;            1 ( 1%) were simplified or subsumed later,
% 0.18/0.51  ;           98 (99%) are still being kept.
% 0.18/0.51  ; 
% 0.18/0.51  ; Run time in seconds excluding printing time:
% 0.18/0.51  ;     0.011  22%   Read assertion file          (1 call)
% 0.18/0.51  ;     0.001   2%   Assert                       (36 calls)
% 0.18/0.51  ;     0.007  14%   Process new row              (188 calls)
% 0.18/0.51  ;     0.006  12%   Resolution                   (122 calls)
% 0.18/0.51  ;     0.000   0%   Paramodulation               (61 calls)
% 0.18/0.51  ;     0.000   0%   Factoring                    (6 calls)
% 0.18/0.51  ;     0.000   0%   Condensing                   (46 calls)
% 0.18/0.51  ;     0.000   0%   Forward subsumption          (46 calls)
% 0.18/0.51  ;     0.001   2%   Backward subsumption         (43 calls)
% 0.18/0.51  ;     0.000   0%   Clause clause subsumption    (29 calls)
% 0.18/0.51  ;     0.002   4%   Forward simplification       (188 calls)
% 0.18/0.51  ;     0.000   0%   Backward simplification      (99 calls)
% 0.18/0.51  ;     0.000   0%   Ordering                     (28 calls)
% 0.18/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.51  ;     0.001   2%   Purity testing               (1 call)
% 0.18/0.51  ;     0.022  43%   Other
% 0.18/0.51  ;     0.051        Total
% 0.18/0.51  ;     0.053        Real time
% 0.18/0.51  ; 
% 0.18/0.51  ; Term-hash-array has 119 terms in all.
% 0.18/0.51  ; Feature-vector-row-index has 42 entries (42 at peak, 43 added, 1 deleted).
% 0.18/0.51  ; Feature-vector-row-index has 83 nodes (83 at peak, 83 added, 0 deleted).
% 0.18/0.51  ;  Retrieved 19 possibly forward subsuming rows in 46 calls.
% 0.18/0.51  ;  Retrieved 15 possibly backward subsumed rows in 43 calls.
% 0.18/0.51  ; Path-index has 122 entries (122 at peak, 122 added, 0 deleted).
% 0.18/0.51  ; Path-index has 217 nodes (217 at peak, 217 added, 0 deleted).
% 0.18/0.51  ; Trie-index has 122 entries (122 at peak, 122 added, 0 deleted).
% 0.18/0.51  ; Trie-index has 202 nodes (202 at peak, 202 added, 0 deleted).
% 0.18/0.51  ; Retrieved 222 generalization terms in 247 calls.
% 0.18/0.51  ; Retrieved 69 instance terms in 55 calls.
% 0.18/0.51  ; Retrieved 2,608 unifiable terms in 668 calls.
% 0.18/0.51  ; 
% 0.18/0.51  ; The agenda of rows to process has 21 entries:
% 0.18/0.51  ;     2 with value 7               3 with value 11              12 with value 15
% 0.18/0.51  ;     4 with value 10
% 0.18/0.51  ; The agenda of rows to give has 36 entries:
% 0.18/0.51  ;     2 with value (4 6)           6 with value (4 9)            2 with value (4 11)
% 0.18/0.51  ;    10 with value (4 7)           6 with value (4 10)           2 with value (4 19)
% 0.18/0.51  ;     8 with value (4 8)
% 0.18/0.51  Evaluation took:
% 0.18/0.51    0.054 seconds of real time
% 0.18/0.51    0.043949 seconds of user run time
% 0.18/0.51    0.010029 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    3,291,544 bytes consed.
% 0.18/0.51  :PROOF-FOUND
% 0.18/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T04:31:29
% 0.18/0.51  :PROOF-FOUND
% 0.18/0.51  * 
%------------------------------------------------------------------------------