TSTP Solution File: GEO182+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO182+3 : TPTP v8.1.0. Released v4.0.0.
% 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 06:14:36 EDT 2022

% Result   : Theorem 0.18s 0.53s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   16 (  11 unt;   3 nHn;  14 RR)
%            Number of literals    :   27 (   0 equ;  14 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   15 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ~ distinct_points(X,X),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart1) ).

cnf(4,axiom,
    ( ~ distinct_points(X,Y)
    | distinct_points(X,Z)
    | distinct_points(Y,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart4) ).

cnf(7,axiom,
    ( ~ distinct_points(X,Y)
    | ~ apart_point_and_line(X,line_connecting(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci1) ).

cnf(8,axiom,
    ( ~ distinct_points(X,Y)
    | ~ apart_point_and_line(Y,line_connecting(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci2) ).

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/sandbox/benchmark/Axioms/GEO006+0.ax',cu1) ).

cnf(13,axiom,
    ( ~ apart_point_and_line(X,Y)
    | distinct_lines(Y,Z)
    | apart_point_and_line(X,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq2) ).

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

cnf(45,negated_conjecture,
    apart_point_and_line('SKOLEMAAAV3',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(46,negated_conjecture,
    ~ apart_point_and_line('SKOLEMAAAV3',line_connecting('SKOLEMAAAV2','SKOLEMAAAV1')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(61,plain,
    ~ apart_point_and_line('SKOLEMAAAV1',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[7,44]) ).

cnf(62,plain,
    ~ apart_point_and_line('SKOLEMAAAV2',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[8,44]) ).

cnf(63,plain,
    distinct_points('SKOLEMAAAV2','SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[4,44,1]) ).

cnf(68,plain,
    distinct_lines(line_connecting('SKOLEMAAAV1','SKOLEMAAAV2'),line_connecting('SKOLEMAAAV2','SKOLEMAAAV1')),
    inference('UR-RESOLVE',[status(thm)],[13,45,46]) ).

cnf(74,plain,
    ~ apart_point_and_line('SKOLEMAAAV1',line_connecting('SKOLEMAAAV2','SKOLEMAAAV1')),
    inference('UR-RESOLVE',[status(thm)],[8,63]) ).

cnf(75,plain,
    ~ apart_point_and_line('SKOLEMAAAV2',line_connecting('SKOLEMAAAV2','SKOLEMAAAV1')),
    inference('UR-RESOLVE',[status(thm)],[7,63]) ).

cnf(128,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[11,75,63,62,61,74]),68]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO182+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % 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 03:42:04 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  * 
% 0.18/0.46  * 
% 0.18/0.47  #<PACKAGE "SNARK-USER">
% 0.18/0.47  * 
% 0.18/0.47  SNARK-TPTP-OPTIONS
% 0.18/0.47  * 
% 0.18/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47   (USE-FACTORING :POS)
% 0.18/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47  * 
% 0.18/0.47  "."
% 0.18/0.47  * 
% 0.18/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T03:42:04
% 0.18/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-18T03:42:04
% 0.18/0.53  
% 0.18/0.53  
% 0.18/0.53  #||
% 0.18/0.53  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.53  % SZS output start Refutation
% See solution above
% 0.18/0.53  ||#
% 0.18/0.53  
% 0.18/0.53  ; Summary of computation:
% 0.18/0.53  ;       262 formulas have been input or derived (from 77 formulas).
% 0.18/0.53  ;       128 (49%) were retained.  Of these,
% 0.18/0.53  ;            1 ( 1%) were simplified or subsumed later,
% 0.18/0.53  ;          127 (99%) are still being kept.
% 0.18/0.53  ; 
% 0.18/0.53  ; Run time in seconds excluding printing time:
% 0.18/0.53  ;     0.011  19%   Read assertion file          (1 call)
% 0.18/0.53  ;     0.002   3%   Assert                       (36 calls)
% 0.18/0.53  ;     0.009  15%   Process new row              (234 calls)
% 0.18/0.53  ;     0.011  19%   Resolution                   (152 calls)
% 0.18/0.53  ;     0.000   0%   Paramodulation               (76 calls)
% 0.18/0.53  ;     0.001   2%   Factoring                    (7 calls)
% 0.18/0.53  ;     0.001   2%   Condensing                   (52 calls)
% 0.18/0.53  ;     0.001   2%   Forward subsumption          (52 calls)
% 0.18/0.53  ;     0.001   2%   Backward subsumption         (45 calls)
% 0.18/0.53  ;     0.000   0%   Clause clause subsumption    (33 calls)
% 0.18/0.53  ;     0.001   2%   Forward simplification       (234 calls)
% 0.18/0.53  ;     0.000   0%   Backward simplification      (128 calls)
% 0.18/0.53  ;     0.000   0%   Ordering                     (22 calls)
% 0.18/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.53  ;     0.021  36%   Other
% 0.18/0.53  ;     0.059        Total
% 0.18/0.53  ;     0.061        Real time
% 0.18/0.53  ; 
% 0.18/0.53  ; Term-hash-array has 157 terms in all.
% 0.18/0.53  ; Feature-vector-row-index has 44 entries (44 at peak, 45 added, 1 deleted).
% 0.18/0.53  ; Feature-vector-row-index has 87 nodes (87 at peak, 87 added, 0 deleted).
% 0.18/0.53  ;  Retrieved 23 possibly forward subsuming rows in 52 calls.
% 0.18/0.53  ;  Retrieved 15 possibly backward subsumed rows in 45 calls.
% 0.18/0.53  ; Path-index has 160 entries (160 at peak, 160 added, 0 deleted).
% 0.18/0.53  ; Path-index has 352 nodes (352 at peak, 352 added, 0 deleted).
% 0.18/0.53  ; Trie-index has 160 entries (160 at peak, 160 added, 0 deleted).
% 0.18/0.53  ; Trie-index has 342 nodes (342 at peak, 342 added, 0 deleted).
% 0.18/0.53  ; Retrieved 274 generalization terms in 296 calls.
% 0.18/0.53  ; Retrieved 96 instance terms in 82 calls.
% 0.18/0.53  ; Retrieved 4,165 unifiable terms in 1,000 calls.
% 0.18/0.53  ; 
% 0.18/0.53  ; The agenda of rows to process has 7 entries:
% 0.18/0.53  ;     5 with value 12              2 with value 13
% 0.18/0.53  ; The agenda of rows to give has 50 entries:
% 0.18/0.53  ;    10 with value (4 9)           9 with value (4 11)           4 with value (4 13)
% 0.18/0.53  ;    10 with value (4 10)         15 with value (4 12)           2 with value (4 14)
% 0.18/0.53  Evaluation took:
% 0.18/0.53    0.062 seconds of real time
% 0.18/0.53    0.055821 seconds of user run time
% 0.18/0.53    0.006243 seconds of system run time
% 0.18/0.53    0 calls to %EVAL
% 0.18/0.53    0 page faults and
% 0.18/0.53    3,697,232 bytes consed.
% 0.18/0.53  :PROOF-FOUND
% 0.18/0.53  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T03:42:04
% 0.18/0.53  :PROOF-FOUND
% 0.18/0.53  * 
%------------------------------------------------------------------------------