TSTP Solution File: GEO213+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO213+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n014.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 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   14 (  10 unt;   3 nHn;  11 RR)
%            Number of literals    :   21 (   0 equ;  11 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   11 (   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(14,axiom,
    ( ~ convergent_lines(X,Y)
    | distinct_lines(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',ceq3) ).

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('SKOLEMAAAV1','SKOLEMAAAV2'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(26,negated_conjecture,
    ~ distinct_lines('SKOLEMAAAV1','SKOLEMAAAV3'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(27,negated_conjecture,
    ~ unorthogonal_lines('SKOLEMAAAV2','SKOLEMAAAV3'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(28,plain,
    ~ convergent_lines('SKOLEMAAAV1','SKOLEMAAAV3'),
    inference('UR-RESOLVE',[status(thm)],[14,26]) ).

cnf(29,plain,
    convergent_lines('SKOLEMAAAV2','SKOLEMAAAV3'),
    inference('HYPERRESOLVE',[status(thm)],[27,18]) ).

cnf(39,plain,
    ~ convergent_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
    inference('UR-RESOLVE',[status(thm)],[19,28,25,27]) ).

cnf(40,plain,
    ~ convergent_lines('SKOLEMAAAV3','SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[6,28,3]) ).

cnf(48,plain,
    ~ convergent_lines('SKOLEMAAAV2','SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[6,39,3]) ).

cnf(52,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[6,40,29]),48]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO213+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n014.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 13:54:04 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T13:54:04
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-18T13:54:04
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  #||
% 0.19/0.51  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51  % SZS output start Refutation
% See solution above
% 0.19/0.51  ||#
% 0.19/0.51  
% 0.19/0.51  ; Summary of computation:
% 0.19/0.51  ;        95 formulas have been input or derived (from 35 formulas).
% 0.19/0.51  ;        52 (55%) were retained.  Of these,
% 0.19/0.51  ;           52 (100%) are still being kept.
% 0.19/0.51  ; 
% 0.19/0.51  ; Run time in seconds excluding printing time:
% 0.19/0.51  ;     0.006  15%   Read assertion file          (1 call)
% 0.19/0.51  ;     0.001   3%   Assert                       (21 calls)
% 0.19/0.51  ;     0.002   5%   Process new row              (92 calls)
% 0.19/0.51  ;     0.002   5%   Resolution                   (68 calls)
% 0.19/0.51  ;     0.000   0%   Paramodulation               (34 calls)
% 0.19/0.51  ;     0.000   0%   Factoring                    (1 call)
% 0.19/0.51  ;     0.000   0%   Condensing                   (19 calls)
% 0.19/0.51  ;     0.000   0%   Forward subsumption          (19 calls)
% 0.19/0.51  ;     0.000   0%   Backward subsumption         (18 calls)
% 0.19/0.51  ;     0.000   0%   Clause clause subsumption    (9 calls)
% 0.19/0.51  ;     0.001   3%   Forward simplification       (92 calls)
% 0.19/0.51  ;     0.002   5%   Backward simplification      (52 calls)
% 0.19/0.51  ;     0.001   3%   Ordering                     (4 calls)
% 0.19/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.51  ;     0.024  62%   Other
% 0.19/0.51  ;     0.039        Total
% 0.19/0.51  ;     0.041        Real time
% 0.19/0.51  ; 
% 0.19/0.51  ; Term-hash-array has 73 terms in all.
% 0.19/0.51  ; Feature-vector-row-index has 18 entries (18 at peak, 18 added, 0 deleted).
% 0.19/0.51  ; Feature-vector-row-index has 38 nodes (38 at peak, 38 added, 0 deleted).
% 0.19/0.51  ;  Retrieved 6 possibly forward subsuming rows in 19 calls.
% 0.19/0.51  ;  Retrieved 3 possibly backward subsumed rows in 18 calls.
% 0.19/0.51  ; Path-index has 76 entries (76 at peak, 76 added, 0 deleted).
% 0.19/0.51  ; Path-index has 160 nodes (160 at peak, 160 added, 0 deleted).
% 0.19/0.51  ; Trie-index has 76 entries (76 at peak, 76 added, 0 deleted).
% 0.19/0.51  ; Trie-index has 134 nodes (134 at peak, 134 added, 0 deleted).
% 0.19/0.51  ; Retrieved 112 generalization terms in 117 calls.
% 0.19/0.51  ; Retrieved 41 instance terms in 33 calls.
% 0.19/0.51  ; Retrieved 900 unifiable terms in 254 calls.
% 0.19/0.51  ; 
% 0.19/0.51  ; The agenda of rows to process has 2 entries:
% 0.19/0.51  ;     2 with value 10
% 0.19/0.51  ; The agenda of rows to give has 17 entries:
% 0.19/0.51  ;     2 with value (4 6)           3 with value (4 8)            4 with value (4 10)
% 0.19/0.51  ;     2 with value (4 7)           4 with value (4 9)            2 with value (4 13)
% 0.19/0.51  Evaluation took:
% 0.19/0.51    0.041 seconds of real time
% 0.19/0.51    0.037075 seconds of user run time
% 0.19/0.51    0.004075 seconds of system run time
% 0.19/0.51    0 calls to %EVAL
% 0.19/0.51    0 page faults and
% 0.19/0.51    2,510,064 bytes consed.
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T13:54:04
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  * 
%------------------------------------------------------------------------------