↑ Up

SNARK---20120808r022.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO194+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 06:14:46 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   15 (  11 unt;   1 nHn;  15 RR)
%            Number of literals    :   25 (   0 equ;  12 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   13 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ~ distinct_points(X,X),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart1) ).

cnf(9,axiom,
    ( ~ convergent_lines(X,Y)
    | ~ apart_point_and_line(Z,X)
    | distinct_points(Z,intersection_point(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',con2) ).

cnf(10,axiom,
    ( ~ convergent_lines(X,Y)
    | ~ apart_point_and_line(Z,Y)
    | distinct_points(Z,intersection_point(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',con2) ).

cnf(11,axiom,
    ( ~ distinct_points(X,Y)
    | ~ distinct_lines(Z,U)
    | apart_point_and_line(X,Z)
    | apart_point_and_line(X,U)
    | apart_point_and_line(Y,Z)
    | apart_point_and_line(Y,U) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',cu1) ).

cnf(14,axiom,
    ( ~ convergent_lines(X,Y)
    | distinct_lines(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',ceq3) ).

cnf(15,negated_conjecture,
    convergent_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(17,negated_conjecture,
    convergent_lines('SKOLEMAAAV1','SKOLEMAAAV3'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(18,negated_conjecture,
    apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV3'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(19,negated_conjecture,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV3'),'SKOLEMAAAV2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(21,plain,
    distinct_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
    inference('HYPERRESOLVE',[status(thm)],[14,15]) ).

cnf(31,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV3'),'SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[9,17,1]) ).

cnf(32,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[9,15,1]) ).

cnf(36,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV2'),
    inference('UR-RESOLVE',[status(thm)],[10,15,1]) ).

cnf(38,plain,
    distinct_points(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),intersection_point('SKOLEMAAAV1','SKOLEMAAAV3')),
    inference('HYPERRESOLVE',[status(thm)],[10,17,18]) ).

cnf(53,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[11,36,21,32,31,19]),38]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO194+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n025.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 00:53:27 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T00:53:28
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-18T00:53:28
% 0.20/0.51  
% 0.20/0.51  
% 0.20/0.51  #||
% 0.20/0.51  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.51  % SZS output start Refutation
% See solution above
% 0.20/0.51  ||#
% 0.20/0.51  
% 0.20/0.51  ; Summary of computation:
% 0.20/0.51  ;       131 formulas have been input or derived (from 34 formulas).
% 0.20/0.51  ;        53 (40%) were retained.  Of these,
% 0.20/0.51  ;           53 (100%) are still being kept.
% 0.20/0.51  ; 
% 0.20/0.51  ; Run time in seconds excluding printing time:
% 0.20/0.51  ;     0.004  11%   Read assertion file          (1 call)
% 0.20/0.51  ;     0.001   3%   Assert                       (13 calls)
% 0.20/0.51  ;     0.005  13%   Process new row              (104 calls)
% 0.20/0.51  ;     0.002   5%   Resolution                   (66 calls)
% 0.20/0.51  ;     0.000   0%   Paramodulation               (33 calls)
% 0.20/0.51  ;     0.000   0%   Condensing                   (25 calls)
% 0.20/0.51  ;     0.001   3%   Forward subsumption          (25 calls)
% 0.20/0.51  ;     0.000   0%   Backward subsumption         (19 calls)
% 0.20/0.51  ;     0.000   0%   Clause clause subsumption    (10 calls)
% 0.20/0.51  ;     0.002   5%   Forward simplification       (104 calls)
% 0.20/0.51  ;     0.000   0%   Backward simplification      (53 calls)
% 0.20/0.51  ;     0.000   0%   Ordering                     (7 calls)
% 0.20/0.51  ;     0.001   3%   Sortal reasoning             (32 calls)
% 0.20/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.52  ;     0.022  58%   Other
% 0.20/0.52  ;     0.038        Total
% 0.20/0.52  ;     0.041        Real time
% 0.20/0.52  ; 
% 0.20/0.52  ; Term-hash-array has 71 terms in all.
% 0.20/0.52  ; Feature-vector-row-index has 19 entries (19 at peak, 19 added, 0 deleted).
% 0.20/0.52  ; Feature-vector-row-index has 45 nodes (45 at peak, 45 added, 0 deleted).
% 0.20/0.52  ;  Retrieved 8 possibly forward subsuming rows in 25 calls.
% 0.20/0.52  ;  Retrieved 2 possibly backward subsumed rows in 19 calls.
% 0.20/0.52  ; Path-index has 74 entries (74 at peak, 74 added, 0 deleted).
% 0.20/0.52  ; Path-index has 85 nodes (85 at peak, 85 added, 0 deleted).
% 0.20/0.52  ; Trie-index has 74 entries (74 at peak, 74 added, 0 deleted).
% 0.20/0.52  ; Trie-index has 99 nodes (99 at peak, 99 added, 0 deleted).
% 0.20/0.52  ; Retrieved 111 generalization terms in 126 calls.
% 0.20/0.52  ; Retrieved 33 instance terms in 33 calls.
% 0.20/0.52  ; Retrieved 1,803 unifiable terms in 430 calls.
% 0.20/0.52  ; 
% 0.20/0.52  ; The agenda of rows to process has 7 entries:
% 0.20/0.52  ;     3 with value 11              4 with value 12
% 0.20/0.52  ; The agenda of rows to give has 19 entries:
% 0.20/0.52  ;     1 with value (4 8)           5 with value (4 10)           2 with value (4 12)
% 0.20/0.52  ;     9 with value (4 9)           2 with value (4 11)
% 0.20/0.52  Evaluation took:
% 0.20/0.52    0.041 seconds of real time
% 0.20/0.52    0.035654 seconds of user run time
% 0.20/0.52    0.005164 seconds of system run time
% 0.20/0.52    0 calls to %EVAL
% 0.20/0.52    0 page faults and
% 0.20/0.52    2,657,432 bytes consed.
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T00:53:28
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  * 
%------------------------------------------------------------------------------