TSTP Solution File: GEO184+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO184+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 06:14:37 EDT 2022

% Result   : Theorem 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   15 (  10 unt;   2 nHn;  14 RR)
%            Number of literals    :   24 (   0 equ;  13 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (   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(37,axiom,
    ( equal_lines(X,Y)
    | distinct_lines(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',ax2) ).

cnf(40,axiom,
    ( ~ incident_point_and_line(X,Y)
    | ~ apart_point_and_line(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',a4) ).

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

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

cnf(47,negated_conjecture,
    incident_point_and_line('SKOLEMAAAV2','SKOLEMAAAV3'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(48,negated_conjecture,
    ~ equal_lines('SKOLEMAAAV3',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(56,plain,
    distinct_lines('SKOLEMAAAV3',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    inference('HYPERRESOLVE',[status(thm)],[48,37]) ).

cnf(60,plain,
    ~ apart_point_and_line('SKOLEMAAAV1','SKOLEMAAAV3'),
    inference('UR-RESOLVE',[status(thm)],[40,46]) ).

cnf(61,plain,
    ~ apart_point_and_line('SKOLEMAAAV2','SKOLEMAAAV3'),
    inference('UR-RESOLVE',[status(thm)],[40,47]) ).

cnf(65,plain,
    ~ apart_point_and_line('SKOLEMAAAV1',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[7,44]) ).

cnf(66,plain,
    ~ apart_point_and_line('SKOLEMAAAV2',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[8,44]) ).

cnf(129,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,56,44]),66,61,65,60]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO184+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n027.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 15:38:53 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 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/sandbox/benchmark/theBenchmark.p 2022-06-18T15:38:53
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-18T15:38:53
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  #||
% 0.20/0.53  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.53  % SZS output start Refutation
% See solution above
% 0.20/0.53  ||#
% 0.20/0.53  
% 0.20/0.53  ; Summary of computation:
% 0.20/0.53  ;       248 formulas have been input or derived (from 69 formulas).
% 0.20/0.53  ;       129 (52%) were retained.  Of these,
% 0.20/0.53  ;            1 ( 1%) were simplified or subsumed later,
% 0.20/0.53  ;          128 (99%) are still being kept.
% 0.20/0.53  ; 
% 0.20/0.53  ; Run time in seconds excluding printing time:
% 0.20/0.53  ;     0.010  16%   Read assertion file          (1 call)
% 0.20/0.53  ;     0.000   0%   Assert                       (36 calls)
% 0.20/0.53  ;     0.007  11%   Process new row              (234 calls)
% 0.20/0.53  ;     0.009  15%   Resolution                   (136 calls)
% 0.20/0.53  ;     0.000   0%   Paramodulation               (68 calls)
% 0.20/0.53  ;     0.001   2%   Factoring                    (6 calls)
% 0.20/0.53  ;     0.001   2%   Condensing                   (70 calls)
% 0.20/0.53  ;     0.002   3%   Forward subsumption          (70 calls)
% 0.20/0.53  ;     0.001   2%   Backward subsumption         (61 calls)
% 0.20/0.53  ;     0.000   0%   Clause clause subsumption    (119 calls)
% 0.20/0.53  ;     0.003   5%   Forward simplification       (234 calls)
% 0.20/0.53  ;     0.000   0%   Backward simplification      (129 calls)
% 0.20/0.53  ;     0.000   0%   Ordering                     (62 calls)
% 0.20/0.53  ;     0.001   2%   Sortal reasoning             (32 calls)
% 0.20/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.53  ;     0.026  43%   Other
% 0.20/0.53  ;     0.061        Total
% 0.20/0.53  ;     0.064        Real time
% 0.20/0.53  ; 
% 0.20/0.53  ; Term-hash-array has 153 terms in all.
% 0.20/0.53  ; Feature-vector-row-index has 60 entries (60 at peak, 61 added, 1 deleted).
% 0.20/0.54  ; Feature-vector-row-index has 122 nodes (122 at peak, 122 added, 0 deleted).
% 0.20/0.54  ;  Retrieved 81 possibly forward subsuming rows in 70 calls.
% 0.20/0.54  ;  Retrieved 46 possibly backward subsumed rows in 61 calls.
% 0.20/0.54  ; Path-index has 157 entries (157 at peak, 157 added, 0 deleted).
% 0.20/0.54  ; Path-index has 340 nodes (340 at peak, 340 added, 0 deleted).
% 0.20/0.54  ; Trie-index has 157 entries (157 at peak, 157 added, 0 deleted).
% 0.20/0.54  ; Trie-index has 310 nodes (310 at peak, 310 added, 0 deleted).
% 0.20/0.54  ; Retrieved 328 generalization terms in 362 calls.
% 0.20/0.54  ; Retrieved 82 instance terms in 67 calls.
% 0.20/0.54  ; Retrieved 3,318 unifiable terms in 751 calls.
% 0.20/0.54  ; 
% 0.20/0.54  ; The agenda of rows to give has 59 entries:
% 0.20/0.54  ;    11 with value (4 8)           2 with value (4 11)           7 with value (4 14)
% 0.20/0.54  ;    18 with value (4 9)           5 with value (4 12)           1 with value (4 18)
% 0.20/0.54  ;     4 with value (4 10)         10 with value (4 13)           1 with value (4 24)
% 0.20/0.54  Evaluation took:
% 0.20/0.54    0.064 seconds of real time
% 0.20/0.54    0.057186 seconds of user run time
% 0.20/0.54    0.007173 seconds of system run time
% 0.20/0.54    0 calls to %EVAL
% 0.20/0.54    0 page faults and
% 0.20/0.54    3,591,056 bytes consed.
% 0.20/0.54  :PROOF-FOUND
% 0.20/0.54  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T15:38:53
% 0.20/0.54  :PROOF-FOUND
% 0.20/0.54  * 
%------------------------------------------------------------------------------