TSTP Solution File: GEO219+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO219+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n015.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 06:15:07 EDT 2022

% Result   : Theorem 0.21s 0.53s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   15 (   9 unt;   4 nHn;  11 RR)
%            Number of literals    :   24 (   0 equ;  10 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   14 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(6,axiom,
    ( ~ convergent_lines(X,Y)
    | convergent_lines(X,Z)
    | convergent_lines(Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ax6) ).

cnf(18,axiom,
    ( convergent_lines(X,Y)
    | unorthogonal_lines(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',occu1) ).

cnf(27,axiom,
    ( unorthogonal_lines(X,Y)
    | convergent_lines(X,Z)
    | ~ convergent_lines(Y,Z)
    | ~ unorthogonal_lines(Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+4.ax',cotno1) ).

cnf(38,axiom,
    ( ~ parallel_lines(X,Y)
    | ~ convergent_lines(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',a3) ).

cnf(42,axiom,
    ( ~ orthogonal_lines(X,Y)
    | ~ unorthogonal_lines(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',a5) ).

cnf(43,axiom,
    ( orthogonal_lines(X,Y)
    | unorthogonal_lines(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',a5) ).

cnf(44,negated_conjecture,
    orthogonal_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(45,negated_conjecture,
    parallel_lines('SKOLEMAAAV1','SKOLEMAAAV3'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(46,negated_conjecture,
    ~ orthogonal_lines('SKOLEMAAAV2','SKOLEMAAAV3'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(53,plain,
    ~ convergent_lines('SKOLEMAAAV1','SKOLEMAAAV3'),
    inference('UR-RESOLVE',[status(thm)],[38,45]) ).

cnf(58,plain,
    convergent_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
    inference('HYPERRESOLVE',[status(thm)],[42,44,18]) ).

cnf(59,plain,
    ~ unorthogonal_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
    inference('UR-RESOLVE',[status(thm)],[42,44]) ).

cnf(60,plain,
    unorthogonal_lines('SKOLEMAAAV2','SKOLEMAAAV3'),
    inference('UR-RESOLVE',[status(thm)],[43,46]) ).

cnf(73,plain,
    convergent_lines('SKOLEMAAAV2','SKOLEMAAAV3'),
    inference('UR-RESOLVE',[status(thm)],[6,58,53]) ).

cnf(82,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[27,60,59,53]),73]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO219+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n015.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sat Jun 18 10:16:28 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T10:16:28
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-06-18T10:16:28
% 0.21/0.53  
% 0.21/0.53  
% 0.21/0.53  #||
% 0.21/0.53  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.53  % SZS output start Refutation
% See solution above
% 0.21/0.53  ||#
% 0.21/0.53  
% 0.21/0.53  ; Summary of computation:
% 0.21/0.53  ;       141 formulas have been input or derived (from 54 formulas).
% 0.21/0.53  ;        82 (58%) were retained.  Of these,
% 0.21/0.53  ;            1 ( 1%) were simplified or subsumed later,
% 0.21/0.53  ;           81 (99%) are still being kept.
% 0.21/0.53  ; 
% 0.21/0.53  ; Run time in seconds excluding printing time:
% 0.21/0.53  ;     0.010  20%   Read assertion file          (1 call)
% 0.21/0.53  ;     0.002   4%   Assert                       (36 calls)
% 0.21/0.53  ;     0.004   8%   Process new row              (139 calls)
% 0.21/0.53  ;     0.003   6%   Resolution                   (106 calls)
% 0.21/0.53  ;     0.001   2%   Paramodulation               (53 calls)
% 0.21/0.53  ;     0.000   0%   Factoring                    (6 calls)
% 0.21/0.53  ;     0.000   0%   Condensing                   (42 calls)
% 0.21/0.53  ;     0.001   2%   Forward subsumption          (42 calls)
% 0.21/0.53  ;     0.000   0%   Backward subsumption         (39 calls)
% 0.21/0.53  ;     0.000   0%   Clause clause subsumption    (28 calls)
% 0.21/0.53  ;     0.003   6%   Forward simplification       (139 calls)
% 0.21/0.53  ;     0.001   2%   Backward simplification      (82 calls)
% 0.21/0.53  ;     0.001   2%   Ordering                     (19 calls)
% 0.21/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.21/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.53  ;     0.023  47%   Other
% 0.21/0.53  ;     0.049        Total
% 0.21/0.53  ;     0.051        Real time
% 0.21/0.53  ; 
% 0.21/0.53  ; Term-hash-array has 97 terms in all.
% 0.21/0.53  ; Feature-vector-row-index has 38 entries (38 at peak, 39 added, 1 deleted).
% 0.21/0.53  ; Feature-vector-row-index has 70 nodes (70 at peak, 70 added, 0 deleted).
% 0.21/0.53  ;  Retrieved 18 possibly forward subsuming rows in 42 calls.
% 0.21/0.53  ;  Retrieved 15 possibly backward subsumed rows in 39 calls.
% 0.21/0.53  ; Path-index has 100 entries (100 at peak, 100 added, 0 deleted).
% 0.21/0.53  ; Path-index has 203 nodes (203 at peak, 203 added, 0 deleted).
% 0.21/0.53  ; Trie-index has 100 entries (100 at peak, 100 added, 0 deleted).
% 0.21/0.53  ; Trie-index has 169 nodes (169 at peak, 169 added, 0 deleted).
% 0.21/0.53  ; Retrieved 167 generalization terms in 190 calls.
% 0.21/0.53  ; Retrieved 56 instance terms in 42 calls.
% 0.21/0.53  ; Retrieved 1,853 unifiable terms in 461 calls.
% 0.21/0.53  ; 
% 0.21/0.53  ; The agenda of rows to give has 27 entries:
% 0.21/0.53  ;     9 with value (4 6)           6 with value (4 9)            4 with value (4 10)
% 0.21/0.53  ;     8 with value (4 8)
% 0.21/0.53  Evaluation took:
% 0.21/0.53    0.051 seconds of real time
% 0.21/0.53    0.044789 seconds of user run time
% 0.21/0.53    0.006302 seconds of system run time
% 0.21/0.53    0 calls to %EVAL
% 0.21/0.53    0 page faults and
% 0.21/0.53    3,029,328 bytes consed.
% 0.21/0.53  :PROOF-FOUND
% 0.21/0.53  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T10:16:28
% 0.21/0.53  :PROOF-FOUND
% 0.21/0.53  * 
%------------------------------------------------------------------------------