TSTP Solution File: GEO173+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO173+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n004.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 06:14:28 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   10 (   7 unt;   1 nHn;  10 RR)
%            Number of literals    :   17 (   0 equ;  10 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   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
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(44,negated_conjecture,
    distinct_points('SKOLEMAAAV1','SKOLEMAAAV2'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

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

cnf(47,negated_conjecture,
    ~ apart_point_and_line('SKOLEMAAAV1','SKOLEMAAAV3'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(48,negated_conjecture,
    ~ apart_point_and_line('SKOLEMAAAV2','SKOLEMAAAV3'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(66,plain,
    ~ apart_point_and_line('SKOLEMAAAV1',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[7,44]) ).

cnf(67,plain,
    ~ apart_point_and_line('SKOLEMAAAV2',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[8,44]) ).

cnf(90,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,44,46]),67,48,66,47]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GEO173+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 10:15:08 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T10:15:09
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-18T10:15:09
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  #||
% 0.19/0.52  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52  % SZS output start Refutation
% See solution above
% 0.19/0.52  ||#
% 0.19/0.52  
% 0.19/0.52  ; Summary of computation:
% 0.19/0.52  ;       127 formulas have been input or derived (from 48 formulas).
% 0.19/0.52  ;        90 (71%) were retained.  Of these,
% 0.19/0.52  ;            1 ( 1%) were simplified or subsumed later,
% 0.19/0.52  ;           89 (99%) are still being kept.
% 0.19/0.52  ; 
% 0.19/0.52  ; Run time in seconds excluding printing time:
% 0.19/0.52  ;     0.011  22%   Read assertion file          (1 call)
% 0.19/0.52  ;     0.002   4%   Assert                       (36 calls)
% 0.19/0.52  ;     0.007  14%   Process new row              (127 calls)
% 0.19/0.52  ;     0.004   8%   Resolution                   (94 calls)
% 0.19/0.52  ;     0.000   0%   Paramodulation               (47 calls)
% 0.19/0.52  ;     0.000   0%   Factoring                    (6 calls)
% 0.19/0.52  ;     0.001   2%   Condensing                   (51 calls)
% 0.19/0.52  ;     0.000   0%   Forward subsumption          (51 calls)
% 0.19/0.52  ;     0.000   0%   Backward subsumption         (48 calls)
% 0.19/0.52  ;     0.000   0%   Clause clause subsumption    (51 calls)
% 0.19/0.52  ;     0.003   6%   Forward simplification       (127 calls)
% 0.19/0.52  ;     0.000   0%   Backward simplification      (90 calls)
% 0.19/0.52  ;     0.000   0%   Ordering                     (39 calls)
% 0.19/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.52  ;     0.022  44%   Other
% 0.19/0.52  ;     0.050        Total
% 0.19/0.52  ;     0.051        Real time
% 0.19/0.52  ; 
% 0.19/0.52  ; Term-hash-array has 109 terms in all.
% 0.19/0.52  ; Feature-vector-row-index has 47 entries (47 at peak, 48 added, 1 deleted).
% 0.19/0.52  ; Feature-vector-row-index has 107 nodes (107 at peak, 107 added, 0 deleted).
% 0.19/0.52  ;  Retrieved 35 possibly forward subsuming rows in 51 calls.
% 0.19/0.52  ;  Retrieved 21 possibly backward subsumed rows in 48 calls.
% 0.19/0.52  ; Path-index has 113 entries (113 at peak, 113 added, 0 deleted).
% 0.19/0.52  ; Path-index has 235 nodes (235 at peak, 235 added, 0 deleted).
% 0.19/0.52  ; Trie-index has 113 entries (113 at peak, 113 added, 0 deleted).
% 0.19/0.52  ; Trie-index has 201 nodes (201 at peak, 201 added, 0 deleted).
% 0.19/0.52  ; Retrieved 147 generalization terms in 186 calls.
% 0.19/0.52  ; Retrieved 53 instance terms in 41 calls.
% 0.19/0.52  ; Retrieved 1,497 unifiable terms in 308 calls.
% 0.19/0.52  ; 
% 0.19/0.52  ; The agenda of rows to give has 41 entries:
% 0.19/0.52  ;    11 with value (4 5)           1 with value (4 10)           6 with value (4 13)
% 0.19/0.52  ;    17 with value (4 8)           1 with value (4 12)           1 with value (4 23)
% 0.19/0.52  ;     4 with value (4 9)
% 0.19/0.52  Evaluation took:
% 0.19/0.52    0.051 seconds of real time
% 0.19/0.52    0.041899 seconds of user run time
% 0.19/0.52    0.009869 seconds of system run time
% 0.19/0.52    0 calls to %EVAL
% 0.19/0.52    0 page faults and
% 0.19/0.52    2,849,888 bytes consed.
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T10:15:09
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  * 
%------------------------------------------------------------------------------