TSTP Solution File: GEO262+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO262+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n023.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 06:15:33 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 (   5 unt;   1 nHn;   9 RR)
%            Number of literals    :   15 (   0 equ;   7 neg)
%            Maximal clause size   :    4 (   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; 0-1 aty)
%            Number of variables   :   10 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    ( ~ convergent_lines(X,Y)
    | unequally_directed_lines(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',con_def) ).

cnf(5,axiom,
    ( ~ convergent_lines(X,Y)
    | unequally_directed_lines(X,reverse_line(Y)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',con_def) ).

cnf(35,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/sandbox/benchmark/Axioms/GEO007+0.ax',oag9) ).

cnf(37,axiom,
    ~ left_convergent_lines(X,Y),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag11) ).

cnf(55,negated_conjecture,
    convergent_lines('SKOLEMAAAV1','SKOLEMAAAV3'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(59,plain,
    ( ~ unequally_directed_lines(X,Y)
    | ~ unequally_directed_lines(X,reverse_line(Y)) ),
    inference('REWRITE',[status(thm)],[35,37]) ).

cnf(63,plain,
    unequally_directed_lines('SKOLEMAAAV1','SKOLEMAAAV3'),
    inference('HYPERRESOLVE',[status(thm)],[4,55]) ).

cnf(69,plain,
    unequally_directed_lines('SKOLEMAAAV1',reverse_line('SKOLEMAAAV3')),
    inference('HYPERRESOLVE',[status(thm)],[5,55]) ).

cnf(88,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[59,63]),69]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : GEO262+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 13:00:34 EDT 2022
% 0.18/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-18T13:00:34
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-18T13:00:34
% 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  ;       115 formulas have been input or derived (from 37 formulas).
% 0.18/0.51  ;        88 (77%) were retained.  Of these,
% 0.18/0.51  ;           27 (31%) were simplified or subsumed later,
% 0.18/0.51  ;           61 (69%) are still being kept.
% 0.18/0.51  ; 
% 0.18/0.51  ; Run time in seconds excluding printing time:
% 0.18/0.51  ;     0.008  17%   Read assertion file          (1 call)
% 0.18/0.51  ;     0.001   2%   Assert                       (32 calls)
% 0.18/0.51  ;     0.007  15%   Process new row              (111 calls)
% 0.18/0.51  ;     0.002   4%   Resolution                   (72 calls)
% 0.18/0.51  ;     0.000   0%   Paramodulation               (36 calls)
% 0.18/0.51  ;     0.001   2%   Condensing                   (49 calls)
% 0.18/0.51  ;     0.001   2%   Forward subsumption          (49 calls)
% 0.18/0.51  ;     0.000   0%   Backward subsumption         (47 calls)
% 0.18/0.51  ;     0.000   0%   Clause clause subsumption    (53 calls)
% 0.18/0.51  ;     0.003   7%   Forward simplification       (111 calls)
% 0.18/0.51  ;     0.000   0%   Backward simplification      (87 calls)
% 0.18/0.51  ;     0.000   0%   Ordering                     (7 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  48%   Other
% 0.18/0.51  ;     0.046        Total
% 0.18/0.51  ;     0.048        Real time
% 0.18/0.51  ; 
% 0.18/0.51  ; Term-hash-array has 103 terms in all.
% 0.18/0.51  ; Feature-vector-row-index has 24 entries (32 at peak, 47 added, 23 deleted).
% 0.18/0.51  ; Feature-vector-row-index has 53 nodes (56 at peak, 96 added, 43 deleted).
% 0.18/0.51  ;  Retrieved 29 possibly forward subsuming rows in 49 calls.
% 0.18/0.51  ;  Retrieved 26 possibly backward subsumed rows in 47 calls.
% 0.18/0.51  ; Path-index has 91 entries (91 at peak, 112 added, 21 deleted).
% 0.18/0.51  ; Path-index has 250 nodes (250 at peak, 271 added, 21 deleted).
% 0.18/0.51  ; Trie-index has 91 entries (91 at peak, 112 added, 21 deleted).
% 0.18/0.51  ; Trie-index has 192 nodes (192 at peak, 221 added, 29 deleted).
% 0.18/0.51  ; Retrieved 127 generalization terms in 129 calls.
% 0.18/0.51  ; Retrieved 62 instance terms in 39 calls.
% 0.18/0.51  ; Retrieved 457 unifiable terms in 170 calls.
% 0.18/0.51  ; 
% 0.18/0.51  ; The agenda of rows to process has 1 entry:
% 0.18/0.51  ;     1 with value 10
% 0.18/0.51  ; The agenda of rows to give has 24 entries:
% 0.18/0.51  ;     3 with value (4 5)           2 with value (4 8)            2 with value (4 12)
% 0.18/0.51  ;     2 with value (4 6)           3 with value (4 10)           2 with value (4 15)
% 0.18/0.51  ;     6 with value (4 7)           4 with value (4 11)
% 0.18/0.51  Evaluation took:
% 0.18/0.51    0.049 seconds of real time
% 0.18/0.51    0.042238 seconds of user run time
% 0.18/0.51    0.005819 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    2,714,784 bytes consed.
% 0.18/0.51  :PROOF-FOUND
% 0.18/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T13:00:34
% 0.18/0.51  :PROOF-FOUND
% 0.18/0.51  * 
%------------------------------------------------------------------------------