TSTP Solution File: GEO261+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO261+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 06:15:32 EDT 2022

% Result   : Theorem 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   6 unt;   1 nHn;  11 RR)
%            Number of literals    :   18 (   0 equ;   9 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   12 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ unequally_directed_opposite_lines(X,Y)
    | unequally_directed_lines(X,reverse_line(Y)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a1_defns) ).

cnf(14,axiom,
    ( ~ convergent_lines(X,Y)
    | unequally_directed_lines(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a7_defns) ).

cnf(15,axiom,
    ( ~ convergent_lines(X,Y)
    | unequally_directed_opposite_lines(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a7_defns) ).

cnf(43,axiom,
    ( ~ unequally_directed_lines(X,Y)
    | ~ unequally_directed_lines(X,reverse_line(Y))
    | left_convergent_lines(X,Y)
    | left_convergent_lines(X,reverse_line(Y)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax9_basics) ).

cnf(45,axiom,
    ~ left_convergent_lines(X,Y),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax11_basics) ).

cnf(61,negated_conjecture,
    convergent_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(65,plain,
    ( ~ unequally_directed_lines(X,Y)
    | ~ unequally_directed_lines(X,reverse_line(Y)) ),
    inference('REWRITE',[status(thm)],[43,45]) ).

cnf(71,plain,
    unequally_directed_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
    inference('HYPERRESOLVE',[status(thm)],[14,61]) ).

cnf(72,plain,
    unequally_directed_opposite_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
    inference('HYPERRESOLVE',[status(thm)],[15,61]) ).

cnf(96,plain,
    ~ unequally_directed_lines('SKOLEMAAAV1',reverse_line('SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[65,71]) ).

cnf(99,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1,72]),96]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GEO261+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n010.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % 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 18:22:38 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T18:22:38
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-18T18:22:38
% 0.19/0.53  
% 0.19/0.53  
% 0.19/0.53  #||
% 0.19/0.53  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.53  % SZS output start Refutation
% See solution above
% 0.19/0.53  ||#
% 0.19/0.53  
% 0.19/0.53  ; Summary of computation:
% 0.19/0.53  ;       133 formulas have been input or derived (from 48 formulas).
% 0.19/0.53  ;        99 (74%) were retained.  Of these,
% 0.19/0.53  ;           24 (24%) were simplified or subsumed later,
% 0.19/0.53  ;           75 (76%) are still being kept.
% 0.19/0.53  ; 
% 0.19/0.53  ; Run time in seconds excluding printing time:
% 0.19/0.53  ;     0.009  18%   Read assertion file          (1 call)
% 0.19/0.53  ;     0.002   4%   Assert                       (37 calls)
% 0.19/0.53  ;     0.004   8%   Process new row              (123 calls)
% 0.19/0.53  ;     0.003   6%   Resolution                   (94 calls)
% 0.19/0.53  ;     0.000   0%   Paramodulation               (47 calls)
% 0.19/0.53  ;     0.000   0%   Factoring                    (3 calls)
% 0.19/0.53  ;     0.003   6%   Condensing                   (69 calls)
% 0.19/0.53  ;     0.001   2%   Forward subsumption          (69 calls)
% 0.19/0.53  ;     0.004   8%   Backward subsumption         (65 calls)
% 0.19/0.53  ;     0.000   0%   Clause clause subsumption    (47 calls)
% 0.19/0.53  ;     0.000   0%   Forward simplification       (123 calls)
% 0.19/0.53  ;     0.001   2%   Backward simplification      (98 calls)
% 0.19/0.53  ;     0.000   0%   Ordering                     (39 calls)
% 0.19/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.53  ;     0.023  46%   Other
% 0.19/0.53  ;     0.050        Total
% 0.19/0.53  ;     0.052        Real time
% 0.19/0.53  ; 
% 0.19/0.53  ; Term-hash-array has 100 terms in all.
% 0.19/0.53  ; Feature-vector-row-index has 44 entries (44 at peak, 65 added, 21 deleted).
% 0.19/0.53  ; Feature-vector-row-index has 91 nodes (91 at peak, 133 added, 42 deleted).
% 0.19/0.53  ;  Retrieved 30 possibly forward subsuming rows in 69 calls.
% 0.19/0.53  ;  Retrieved 23 possibly backward subsumed rows in 65 calls.
% 0.19/0.53  ; Path-index has 88 entries (88 at peak, 108 added, 20 deleted).
% 0.19/0.53  ; Path-index has 221 nodes (221 at peak, 242 added, 21 deleted).
% 0.19/0.53  ; Trie-index has 88 entries (88 at peak, 108 added, 20 deleted).
% 0.19/0.53  ; Trie-index has 162 nodes (162 at peak, 192 added, 30 deleted).
% 0.19/0.53  ; Retrieved 100 generalization terms in 105 calls.
% 0.19/0.53  ; Retrieved 57 instance terms in 32 calls.
% 0.19/0.53  ; Retrieved 547 unifiable terms in 209 calls.
% 0.19/0.53  ; 
% 0.19/0.53  ; The agenda of rows to process has 1 entry:
% 0.19/0.53  ;     1 with value 10
% 0.19/0.53  ; The agenda of rows to give has 27 entries:
% 0.19/0.53  ;     5 with value (4 6)           1 with value (4 9)            3 with value (4 13)
% 0.19/0.53  ;     2 with value (4 7)           2 with value (4 10)           1 with value (4 15)
% 0.19/0.53  ;     5 with value (4 8)           7 with value (4 11)           1 with value (4 17)
% 0.19/0.53  Evaluation took:
% 0.19/0.53    0.053 seconds of real time
% 0.19/0.53    0.043465 seconds of user run time
% 0.19/0.53    0.008841 seconds of system run time
% 0.19/0.53    0 calls to %EVAL
% 0.19/0.53    0 page faults and
% 0.19/0.53    2,927,320 bytes consed.
% 0.19/0.53  :PROOF-FOUND
% 0.19/0.53  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T18:22:38
% 0.19/0.53  :PROOF-FOUND
% 0.19/0.53  * 
%------------------------------------------------------------------------------