TSTP Solution File: GEO219+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO219+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 0.17s 0.46s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    9 (   6 unt;   3 nHn;   6 RR)
%            Number of literals    :   15 (   0 equ;   6 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    8 (   0 sgn)

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

cnf(15,axiom,
    ( convergent_lines(X,Y)
    | unorthogonal_lines(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+4.ax',coipo1) ).

cnf(18,axiom,
    ( unorthogonal_lines(X,Y)
    | convergent_lines(X,Z)
    | ~ convergent_lines(Y,Z)
    | ~ unorthogonal_lines(Y,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+4.ax',cotno1) ).

cnf(21,negated_conjecture,
    ~ unorthogonal_lines('SKOLEMAAAU1','SKOLEMAAAU2'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(22,negated_conjecture,
    ~ convergent_lines('SKOLEMAAAU1','SKOLEMAAAU3'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(23,negated_conjecture,
    unorthogonal_lines('SKOLEMAAAU2','SKOLEMAAAU3'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(24,plain,
    convergent_lines('SKOLEMAAAU1','SKOLEMAAAU2'),
    inference('HYPERRESOLVE',[status(thm)],[21,15]) ).

cnf(28,plain,
    ~ convergent_lines('SKOLEMAAAU2','SKOLEMAAAU3'),
    inference('UR-RESOLVE',[status(thm)],[18,21,22,23]) ).

cnf(31,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[6,24,22]),28]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : GEO219+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12  % Command  : run-snark %s %d
% 0.11/0.31  % Computer : n020.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 600
% 0.11/0.31  % DateTime : Sat Jun 18 13:34:33 EDT 2022
% 0.11/0.31  % CPUTime  : 
% 0.17/0.41  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42  * 
% 0.17/0.42  * 
% 0.17/0.42  #<PACKAGE "SNARK-USER">
% 0.17/0.42  * 
% 0.17/0.42  SNARK-TPTP-OPTIONS
% 0.17/0.42  * 
% 0.17/0.43  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.43   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.43   (USE-FACTORING :POS)
% 0.17/0.43   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.43   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.43   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.43   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.43   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.43   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.43   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.43   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.43   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.43   (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.43  * 
% 0.17/0.43  "."
% 0.17/0.43  * 
% 0.17/0.43  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T13:34:34
% 0.17/0.43  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-18T13:34:34
% 0.17/0.46  
% 0.17/0.46  
% 0.17/0.46  #||
% 0.17/0.46  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.46  % SZS output start Refutation
% See solution above
% 0.17/0.46  ||#
% 0.17/0.46  
% 0.17/0.46  ; Summary of computation:
% 0.17/0.46  ;        53 formulas have been input or derived (from 24 formulas).
% 0.17/0.46  ;        31 (58%) were retained.  Of these,
% 0.17/0.46  ;            1 ( 3%) were simplified or subsumed later,
% 0.17/0.46  ;           30 (97%) are still being kept.
% 0.17/0.46  ; 
% 0.17/0.46  ; Run time in seconds:
% 0.17/0.46  ;     0.005  15%   Read assertion file          (1 call)
% 0.17/0.46  ;     0.001   3%   Assert                       (18 calls)
% 0.17/0.46  ;     0.003   9%   Process new row              (40 calls)
% 0.17/0.46  ;     0.000   0%   Resolution                   (46 calls)
% 0.17/0.46  ;     0.000   0%   Paramodulation               (23 calls)
% 0.17/0.46  ;     0.000   0%   Factoring                    (1 call)
% 0.17/0.46  ;     0.001   3%   Condensing                   (17 calls)
% 0.17/0.46  ;     0.000   0%   Forward subsumption          (17 calls)
% 0.17/0.46  ;     0.000   0%   Backward subsumption         (17 calls)
% 0.17/0.46  ;     0.000   0%   Clause clause subsumption    (10 calls)
% 0.17/0.46  ;     0.001   3%   Forward simplification       (40 calls)
% 0.17/0.46  ;     0.000   0%   Backward simplification      (31 calls)
% 0.17/0.46  ;     0.001   3%   Ordering                     (9 calls)
% 0.17/0.46  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.17/0.46  ;     0.000   0%   Purity testing               (1 call)
% 0.17/0.46  ;     0.021  64%   Other
% 0.17/0.46  ;     0.033        Total
% 0.17/0.46  ;     0.033        Real time
% 0.17/0.46  ; 
% 0.17/0.46  ; Term-hash-array has 38 terms in all.
% 0.17/0.46  ; Feature-vector-row-index has 16 entries (16 at peak, 17 added, 1 deleted).
% 0.17/0.46  ; Feature-vector-row-index has 33 nodes (34 at peak, 36 added, 3 deleted).
% 0.17/0.46  ;  Retrieved 6 possibly forward subsuming rows in 17 calls.
% 0.17/0.46  ;  Retrieved 4 possibly backward subsumed rows in 17 calls.
% 0.17/0.46  ; Path-index has 41 entries (41 at peak, 41 added, 0 deleted).
% 0.17/0.46  ; Path-index has 62 nodes (62 at peak, 62 added, 0 deleted).
% 0.17/0.46  ; Trie-index has 41 entries (41 at peak, 41 added, 0 deleted).
% 0.17/0.46  ; Trie-index has 47 nodes (47 at peak, 47 added, 0 deleted).
% 0.17/0.46  ; Retrieved 46 generalization terms in 49 calls.
% 0.17/0.46  ; Retrieved 19 instance terms in 13 calls.
% 0.17/0.46  ; Retrieved 465 unifiable terms in 157 calls.
% 0.17/0.46  ; 
% 0.17/0.46  ; The agenda of rows to process has 11 entries:
% 0.17/0.46  ;     3 with value 6               3 with value 10               3 with value 14
% 0.17/0.46  ;     2 with value 9
% 0.17/0.46  ; The agenda of rows to give has 6 entries:
% 0.17/0.46  ;     4 with value (4 5)           2 with value (4 6)
% 0.17/0.46  Evaluation took:
% 0.17/0.46    0.034 seconds of real time
% 0.17/0.46    0.026504 seconds of user run time
% 0.17/0.46    0.00744 seconds of system run time
% 0.17/0.46    0 calls to %EVAL
% 0.17/0.46    0 page faults and
% 0.17/0.46    2,039,080 bytes consed.
% 0.17/0.46  :PROOF-FOUND
% 0.17/0.46  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T13:34:34
% 0.17/0.46  :PROOF-FOUND
% 0.17/0.46  * 
%------------------------------------------------------------------------------