TSTP Solution File: GEO214+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO214+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 06:15:02 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    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ~ convergent_lines(X,X),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart3) ).

cnf(6,axiom,
    ( ~ convergent_lines(X,Y)
    | convergent_lines(X,Z)
    | convergent_lines(Y,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart6) ).

cnf(18,axiom,
    ( convergent_lines(X,Y)
    | unorthogonal_lines(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',occu1) ).

cnf(19,axiom,
    ( ~ convergent_lines(X,Y)
    | ~ unorthogonal_lines(X,Y)
    | convergent_lines(X,Z)
    | unorthogonal_lines(Y,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',oac1) ).

cnf(25,negated_conjecture,
    unorthogonal_lines('SKOLEMAAAO1','SKOLEMAAAO2'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(26,negated_conjecture,
    ~ unorthogonal_lines('SKOLEMAAAO2','SKOLEMAAAO1'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(27,plain,
    convergent_lines('SKOLEMAAAO2','SKOLEMAAAO1'),
    inference('HYPERRESOLVE',[status(thm)],[26,18]) ).

cnf(35,plain,
    ~ convergent_lines('SKOLEMAAAO1','SKOLEMAAAO2'),
    inference('UR-RESOLVE',[status(thm)],[19,25,3,26]) ).

cnf(37,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[6,27,3]),35]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : GEO214+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.11  % Command  : run-snark %s %d
% 0.11/0.32  % Computer : n022.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Fri Jun 17 18:19:32 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43  * 
% 0.17/0.43  * 
% 0.17/0.44  #<PACKAGE "SNARK-USER">
% 0.17/0.44  * 
% 0.17/0.44  SNARK-TPTP-OPTIONS
% 0.17/0.44  * 
% 0.17/0.44  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.44   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.44   (USE-FACTORING :POS)
% 0.17/0.44   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.44   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.44   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.44   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.44   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.44   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.44   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.44   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.44   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.44   (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.44  * 
% 0.17/0.44  "."
% 0.17/0.44  * 
% 0.17/0.44  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T18:19:32
% 0.17/0.44  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-17T18:19:32
% 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  ;        61 formulas have been input or derived (from 28 formulas).
% 0.17/0.46  ;        37 (61%) were retained.  Of these,
% 0.17/0.46  ;           37 (100%) are still being kept.
% 0.17/0.46  ; 
% 0.17/0.46  ; Run time in seconds excluding printing time:
% 0.17/0.46  ;     0.003  14%   Read assertion file          (1 call)
% 0.17/0.46  ;     0.001   5%   Assert                       (21 calls)
% 0.17/0.46  ;     0.001   5%   Process new row              (54 calls)
% 0.17/0.46  ;     0.001   5%   Resolution                   (54 calls)
% 0.17/0.46  ;     0.000   0%   Paramodulation               (27 calls)
% 0.17/0.46  ;     0.000   0%   Factoring                    (1 call)
% 0.17/0.46  ;     0.000   0%   Condensing                   (18 calls)
% 0.17/0.46  ;     0.000   0%   Forward subsumption          (18 calls)
% 0.17/0.46  ;     0.000   0%   Backward subsumption         (17 calls)
% 0.17/0.46  ;     0.000   0%   Clause clause subsumption    (9 calls)
% 0.17/0.46  ;     0.001   5%   Forward simplification       (54 calls)
% 0.17/0.46  ;     0.000   0%   Backward simplification      (37 calls)
% 0.17/0.46  ;     0.000   0%   Ordering                     (2 calls)
% 0.17/0.46  ;     0.001   5%   Sortal reasoning             (32 calls)
% 0.17/0.46  ;     0.000   0%   Purity testing               (1 call)
% 0.17/0.46  ;     0.013  62%   Other
% 0.17/0.46  ;     0.021        Total
% 0.17/0.46  ;     0.023        Real time
% 0.17/0.46  ; 
% 0.17/0.46  ; Term-hash-array has 54 terms in all.
% 0.17/0.46  ; Feature-vector-row-index has 17 entries (17 at peak, 17 added, 0 deleted).
% 0.17/0.46  ; Feature-vector-row-index has 36 nodes (36 at peak, 36 added, 0 deleted).
% 0.17/0.46  ;  Retrieved 6 possibly forward subsuming rows in 18 calls.
% 0.17/0.46  ;  Retrieved 3 possibly backward subsumed rows in 17 calls.
% 0.17/0.46  ; Path-index has 56 entries (56 at peak, 56 added, 0 deleted).
% 0.17/0.46  ; Path-index has 137 nodes (137 at peak, 137 added, 0 deleted).
% 0.17/0.46  ; Trie-index has 56 entries (56 at peak, 56 added, 0 deleted).
% 0.17/0.46  ; Trie-index has 97 nodes (97 at peak, 97 added, 0 deleted).
% 0.17/0.46  ; Retrieved 64 generalization terms in 72 calls.
% 0.17/0.46  ; Retrieved 27 instance terms in 19 calls.
% 0.17/0.46  ; Retrieved 521 unifiable terms in 141 calls.
% 0.17/0.46  ; 
% 0.17/0.46  ; The agenda of rows to process has 6 entries:
% 0.17/0.46  ;     2 with value 9               1 with value 10               3 with value 14
% 0.17/0.46  ; The agenda of rows to give has 9 entries:
% 0.17/0.46  ;     2 with value (4 5)           3 with value (4 8)            2 with value (4 13)
% 0.17/0.46  ;     1 with value (4 6)           1 with value (4 10)
% 0.17/0.46  Evaluation took:
% 0.17/0.46    0.023 seconds of real time
% 0.17/0.46    0.018401 seconds of user run time
% 0.17/0.46    0.004241 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    2,129,248 bytes consed.
% 0.17/0.46  :PROOF-FOUND
% 0.17/0.46  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T18:19:32
% 0.17/0.46  :PROOF-FOUND
% 0.17/0.46  * 
%------------------------------------------------------------------------------