TSTP Solution File: GEO190+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO190+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n017.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 06:14:42 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% 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    :   29 (   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   :   17 (   0 sgn)

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

cnf(4,axiom,
    ( ~ distinct_points(X,Y)
    | distinct_points(X,Z)
    | distinct_points(Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart4) ).

cnf(7,axiom,
    ( ~ distinct_points(X,Y)
    | ~ apart_point_and_line(Z,line_connecting(X,Y))
    | distinct_points(Z,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',con1) ).

cnf(8,axiom,
    ( ~ distinct_points(X,Y)
    | ~ apart_point_and_line(Z,line_connecting(X,Y))
    | distinct_points(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',con1) ).

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(13,axiom,
    ( ~ apart_point_and_line(X,Y)
    | distinct_lines(Y,Z)
    | apart_point_and_line(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',ceq2) ).

cnf(15,negated_conjecture,
    distinct_points('SKOLEMAAAU1','SKOLEMAAAU2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(18,negated_conjecture,
    ~ apart_point_and_line('SKOLEMAAAU3',line_connecting('SKOLEMAAAU1','SKOLEMAAAU2')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(19,negated_conjecture,
    apart_point_and_line('SKOLEMAAAU3',line_connecting('SKOLEMAAAU2','SKOLEMAAAU1')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(22,plain,
    distinct_points('SKOLEMAAAU2','SKOLEMAAAU1'),
    inference('UR-RESOLVE',[status(thm)],[4,15,1]) ).

cnf(27,plain,
    distinct_lines(line_connecting('SKOLEMAAAU2','SKOLEMAAAU1'),line_connecting('SKOLEMAAAU1','SKOLEMAAAU2')),
    inference('UR-RESOLVE',[status(thm)],[13,19,18]) ).

cnf(31,plain,
    ~ apart_point_and_line('SKOLEMAAAU1',line_connecting('SKOLEMAAAU1','SKOLEMAAAU2')),
    inference('UR-RESOLVE',[status(thm)],[7,15,1]) ).

cnf(34,plain,
    ~ apart_point_and_line('SKOLEMAAAU2',line_connecting('SKOLEMAAAU1','SKOLEMAAAU2')),
    inference('UR-RESOLVE',[status(thm)],[8,15,1]) ).

cnf(39,plain,
    ~ apart_point_and_line('SKOLEMAAAU1',line_connecting('SKOLEMAAAU2','SKOLEMAAAU1')),
    inference('UR-RESOLVE',[status(thm)],[8,22,1]) ).

cnf(40,plain,
    ~ apart_point_and_line('SKOLEMAAAU2',line_connecting('SKOLEMAAAU2','SKOLEMAAAU1')),
    inference('UR-RESOLVE',[status(thm)],[7,22,1]) ).

cnf(60,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[11,40,22,34,39,31]),27]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO190+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n017.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 06:14:27 EDT 2022
% 0.12/0.34  % 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 2022-06-18T06:14:27
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-18T06:14:27
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  #||
% 0.19/0.51  % SZS status Theorem for /export/starexec/sandbox2/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  ;       168 formulas have been input or derived (from 38 formulas).
% 0.19/0.51  ;        60 (36%) were retained.  Of these,
% 0.19/0.51  ;           60 (100%) are still being kept.
% 0.19/0.51  ; 
% 0.19/0.51  ; Run time in seconds excluding printing time:
% 0.19/0.51  ;     0.004  10%   Read assertion file          (1 call)
% 0.19/0.51  ;     0.001   2%   Assert                       (13 calls)
% 0.19/0.51  ;     0.007  17%   Process new row              (134 calls)
% 0.19/0.51  ;     0.006  15%   Resolution                   (74 calls)
% 0.19/0.51  ;     0.000   0%   Paramodulation               (37 calls)
% 0.19/0.51  ;     0.000   0%   Factoring                    (3 calls)
% 0.19/0.51  ;     0.000   0%   Condensing                   (22 calls)
% 0.19/0.51  ;     0.000   0%   Forward subsumption          (22 calls)
% 0.19/0.51  ;     0.000   0%   Backward subsumption         (19 calls)
% 0.19/0.51  ;     0.000   0%   Clause clause subsumption    (10 calls)
% 0.19/0.51  ;     0.000   0%   Forward simplification       (134 calls)
% 0.19/0.51  ;     0.000   0%   Backward simplification      (60 calls)
% 0.19/0.51  ;     0.000   0%   Ordering                     (8 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  ;     0.023  56%   Other
% 0.19/0.51  ;     0.041        Total
% 0.19/0.51  ;     0.043        Real time
% 0.19/0.51  ; 
% 0.19/0.51  ; Term-hash-array has 77 terms in all.
% 0.19/0.51  ; Feature-vector-row-index has 19 entries (19 at peak, 19 added, 0 deleted).
% 0.19/0.51  ; Feature-vector-row-index has 46 nodes (46 at peak, 46 added, 0 deleted).
% 0.19/0.51  ;  Retrieved 8 possibly forward subsuming rows in 22 calls.
% 0.19/0.51  ;  Retrieved 2 possibly backward subsumed rows in 19 calls.
% 0.19/0.51  ; Path-index has 80 entries (80 at peak, 80 added, 0 deleted).
% 0.19/0.51  ; Path-index has 83 nodes (83 at peak, 83 added, 0 deleted).
% 0.19/0.51  ; Trie-index has 80 entries (80 at peak, 80 added, 0 deleted).
% 0.19/0.51  ; Trie-index has 128 nodes (128 at peak, 128 added, 0 deleted).
% 0.19/0.51  ; Retrieved 143 generalization terms in 158 calls.
% 0.19/0.51  ; Retrieved 40 instance terms in 40 calls.
% 0.19/0.51  ; Retrieved 4,371 unifiable terms in 916 calls.
% 0.19/0.51  ; 
% 0.19/0.51  ; The agenda of rows to process has 7 entries:
% 0.19/0.51  ;     7 with value 12
% 0.19/0.51  ; The agenda of rows to give has 22 entries:
% 0.19/0.51  ;     1 with value (4 10)         12 with value (4 12)           3 with value (4 14)
% 0.19/0.51  ;     6 with value (4 11)
% 0.19/0.51  Evaluation took:
% 0.19/0.51    0.044 seconds of real time
% 0.19/0.51    0.035543 seconds of user run time
% 0.19/0.51    0.007942 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    2,996,712 bytes consed.
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T06:14:27
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  * 
%------------------------------------------------------------------------------