TSTP Solution File: GEO187+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO187+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n003.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 06:14:39 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   20 (  14 unt;   4 nHn;  18 RR)
%            Number of literals    :   32 (   0 equ;  17 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    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   15 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ~ distinct_points(X,X),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart1) ).

cnf(4,axiom,
    ( ~ distinct_points(X,Y)
    | distinct_points(X,Z)
    | distinct_points(Y,Z) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq2) ).

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

cnf(16,negated_conjecture,
    distinct_points('SKOLEMAAAV3','SKOLEMAAAV4'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(17,negated_conjecture,
    ~ apart_point_and_line('SKOLEMAAAV1',line_connecting('SKOLEMAAAV3','SKOLEMAAAV4')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(18,negated_conjecture,
    ~ apart_point_and_line('SKOLEMAAAV2',line_connecting('SKOLEMAAAV3','SKOLEMAAAV4')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(19,negated_conjecture,
    ( apart_point_and_line('SKOLEMAAAV3',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2'))
    | apart_point_and_line('SKOLEMAAAV4',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(20,plain,
    ~ apart_point_and_line('SKOLEMAAAV3',line_connecting('SKOLEMAAAV3','SKOLEMAAAV4')),
    inference('UR-RESOLVE',[status(thm)],[7,16]) ).

cnf(21,plain,
    ~ apart_point_and_line('SKOLEMAAAV1',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[7,15]) ).

cnf(22,plain,
    ~ apart_point_and_line('SKOLEMAAAV4',line_connecting('SKOLEMAAAV3','SKOLEMAAAV4')),
    inference('UR-RESOLVE',[status(thm)],[8,16]) ).

cnf(23,plain,
    ~ apart_point_and_line('SKOLEMAAAV2',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[8,15]) ).

cnf(25,plain,
    distinct_points('SKOLEMAAAV2','SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[4,15,1]) ).

cnf(34,plain,
    ~ distinct_lines(line_connecting('SKOLEMAAAV1','SKOLEMAAAV2'),line_connecting('SKOLEMAAAV3','SKOLEMAAAV4')),
    inference('UR-RESOLVE',[status(thm)],[11,23,25,18,21,17]) ).

cnf(44,plain,
    ~ apart_point_and_line('SKOLEMAAAV3',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[13,34,20]) ).

cnf(45,plain,
    apart_point_and_line('SKOLEMAAAV4',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    inference('REWRITE',[status(thm)],[19,44]) ).

cnf(48,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[13,34,22]),45]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO187+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.14/0.33  % Computer : n003.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 600
% 0.14/0.33  % DateTime : Fri Jun 17 20:44:42 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T20:44:42
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-06-17T20:44:43
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  #||
% 0.19/0.50  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50  % SZS output start Refutation
% See solution above
% 0.19/0.50  ||#
% 0.19/0.50  
% 0.19/0.50  ; Summary of computation:
% 0.19/0.50  ;       119 formulas have been input or derived (from 33 formulas).
% 0.19/0.50  ;        48 (40%) were retained.  Of these,
% 0.19/0.50  ;            3 ( 6%) were simplified or subsumed later,
% 0.19/0.50  ;           45 (94%) are still being kept.
% 0.19/0.50  ; 
% 0.19/0.50  ; Run time in seconds excluding printing time:
% 0.19/0.50  ;     0.005  13%   Read assertion file          (1 call)
% 0.19/0.50  ;     0.000   0%   Assert                       (15 calls)
% 0.19/0.50  ;     0.004  11%   Process new row              (101 calls)
% 0.19/0.50  ;     0.002   5%   Resolution                   (64 calls)
% 0.19/0.50  ;     0.000   0%   Paramodulation               (32 calls)
% 0.19/0.50  ;     0.000   0%   Factoring                    (3 calls)
% 0.19/0.50  ;     0.001   3%   Condensing                   (22 calls)
% 0.19/0.50  ;     0.001   3%   Forward subsumption          (22 calls)
% 0.19/0.50  ;     0.000   0%   Backward subsumption         (20 calls)
% 0.19/0.50  ;     0.000   0%   Clause clause subsumption    (8 calls)
% 0.19/0.50  ;     0.002   5%   Forward simplification       (101 calls)
% 0.19/0.50  ;     0.000   0%   Backward simplification      (48 calls)
% 0.19/0.50  ;     0.001   3%   Ordering                     (12 calls)
% 0.19/0.50  ;     0.001   3%   Sortal reasoning             (32 calls)
% 0.19/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.50  ;     0.021  55%   Other
% 0.19/0.50  ;     0.038        Total
% 0.19/0.50  ;     0.040        Real time
% 0.19/0.50  ; 
% 0.19/0.50  ; Term-hash-array has 62 terms in all.
% 0.19/0.50  ; Feature-vector-row-index has 17 entries (18 at peak, 20 added, 3 deleted).
% 0.19/0.50  ; Feature-vector-row-index has 44 nodes (69 at peak, 81 added, 37 deleted).
% 0.19/0.50  ;  Retrieved 6 possibly forward subsuming rows in 22 calls.
% 0.19/0.50  ;  Retrieved 2 possibly backward subsumed rows in 20 calls.
% 0.19/0.50  ; Path-index has 66 entries (66 at peak, 70 added, 4 deleted).
% 0.19/0.50  ; Path-index has 95 nodes (95 at peak, 95 added, 0 deleted).
% 0.19/0.50  ; Trie-index has 66 entries (66 at peak, 70 added, 4 deleted).
% 0.19/0.50  ; Trie-index has 115 nodes (115 at peak, 121 added, 6 deleted).
% 0.19/0.50  ; Retrieved 102 generalization terms in 121 calls.
% 0.19/0.50  ; Retrieved 27 instance terms in 27 calls.
% 0.19/0.50  ; Retrieved 1,686 unifiable terms in 464 calls.
% 0.19/0.50  ; 
% 0.19/0.50  ; The agenda of rows to process has 5 entries:
% 0.19/0.50  ;     5 with value 12
% 0.19/0.50  ; The agenda of input rows to give has 1 entry:
% 0.19/0.50  ;     1 with value 7
% 0.19/0.50  ; The agenda of rows to give has 12 entries:
% 0.19/0.50  ;     1 with value (4 10)          8 with value (4 12)           2 with value (4 14)
% 0.19/0.50  ;     1 with value (4 11)
% 0.19/0.50  Evaluation took:
% 0.19/0.50    0.04 seconds of real time
% 0.19/0.50    0.035317 seconds of user run time
% 0.19/0.50    0.005219 seconds of system run time
% 0.19/0.50    0 calls to %EVAL
% 0.19/0.50    0 page faults and
% 0.19/0.50    3,065,976 bytes consed.
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T20:44:43
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  * 
%------------------------------------------------------------------------------