TSTP Solution File: GEO197+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO197+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n011.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 06:14:48 EDT 2022

% Result   : Theorem 0.18s 0.54s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   21 (  14 unt;   4 nHn;  18 RR)
%            Number of literals    :   34 (   0 equ;  17 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   :   19 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ~ convergent_lines(X,X),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart3) ).

cnf(9,axiom,
    ( ~ convergent_lines(X,Y)
    | ~ apart_point_and_line(intersection_point(X,Y),X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci3) ).

cnf(10,axiom,
    ( ~ convergent_lines(X,Y)
    | ~ apart_point_and_line(intersection_point(X,Y),Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci4) ).

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(12,axiom,
    ( ~ apart_point_and_line(X,Y)
    | distinct_points(X,Z)
    | apart_point_and_line(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq1) ).

cnf(14,axiom,
    ( ~ convergent_lines(X,Y)
    | distinct_lines(Y,Z)
    | convergent_lines(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq3) ).

cnf(40,axiom,
    ( ~ incident_point_and_line(X,Y)
    | ~ apart_point_and_line(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',a4) ).

cnf(41,axiom,
    ( incident_point_and_line(X,Y)
    | apart_point_and_line(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',a4) ).

cnf(44,negated_conjecture,
    convergent_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(45,negated_conjecture,
    convergent_lines('SKOLEMAAAV3','SKOLEMAAAV2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(47,negated_conjecture,
    incident_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV3'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(48,negated_conjecture,
    ~ incident_point_and_line(intersection_point('SKOLEMAAAV3','SKOLEMAAAV2'),'SKOLEMAAAV1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(60,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV3'),
    inference('UR-RESOLVE',[status(thm)],[40,47]) ).

cnf(61,plain,
    apart_point_and_line(intersection_point('SKOLEMAAAV3','SKOLEMAAAV2'),'SKOLEMAAAV1'),
    inference('HYPERRESOLVE',[status(thm)],[48,41]) ).

cnf(66,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[9,44]) ).

cnf(67,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV3','SKOLEMAAAV2'),'SKOLEMAAAV3'),
    inference('UR-RESOLVE',[status(thm)],[9,45]) ).

cnf(69,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV2'),
    inference('UR-RESOLVE',[status(thm)],[10,44]) ).

cnf(70,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV3','SKOLEMAAAV2'),'SKOLEMAAAV2'),
    inference('UR-RESOLVE',[status(thm)],[10,45]) ).

cnf(81,plain,
    distinct_lines('SKOLEMAAAV2','SKOLEMAAAV3'),
    inference('UR-RESOLVE',[status(thm)],[14,45,3]) ).

cnf(185,plain,
    distinct_points(intersection_point('SKOLEMAAAV3','SKOLEMAAAV2'),intersection_point('SKOLEMAAAV1','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[12,66,61]) ).

cnf(196,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[11,70,81,67,69,60]),185]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO197+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n011.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 : Fri Jun 17 17:15:07 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-17T17:15:07
% 0.18/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-17T17:15:07
% 0.18/0.54  
% 0.18/0.54  
% 0.18/0.54  #||
% 0.18/0.54  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.54  % SZS output start Refutation
% See solution above
% 0.18/0.55  ||#
% 0.18/0.55  
% 0.18/0.55  ; Summary of computation:
% 0.18/0.55  ;       426 formulas have been input or derived (from 89 formulas).
% 0.18/0.55  ;       196 (46%) were retained.  Of these,
% 0.18/0.55  ;            1 ( 1%) were simplified or subsumed later,
% 0.18/0.55  ;          195 (99%) are still being kept.
% 0.18/0.55  ; 
% 0.18/0.55  ; Run time in seconds excluding printing time:
% 0.18/0.55  ;     0.011  14%   Read assertion file          (1 call)
% 0.18/0.55  ;     0.001   1%   Assert                       (36 calls)
% 0.18/0.55  ;     0.010  13%   Process new row              (393 calls)
% 0.18/0.55  ;     0.020  26%   Resolution                   (176 calls)
% 0.18/0.55  ;     0.002   3%   Paramodulation               (88 calls)
% 0.18/0.55  ;     0.000   0%   Factoring                    (6 calls)
% 0.18/0.55  ;     0.000   0%   Condensing                   (110 calls)
% 0.18/0.55  ;     0.004   5%   Forward subsumption          (110 calls)
% 0.18/0.55  ;     0.000   0%   Backward subsumption         (95 calls)
% 0.18/0.55  ;     0.002   3%   Clause clause subsumption    (295 calls)
% 0.18/0.55  ;     0.002   3%   Forward simplification       (393 calls)
% 0.18/0.55  ;     0.001   1%   Backward simplification      (196 calls)
% 0.18/0.55  ;     0.001   1%   Ordering                     (151 calls)
% 0.18/0.55  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.55  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.55  ;     0.022  29%   Other
% 0.18/0.55  ;     0.076        Total
% 0.18/0.55  ;     0.079        Real time
% 0.18/0.55  ; 
% 0.18/0.55  ; Term-hash-array has 199 terms in all.
% 0.18/0.55  ; Feature-vector-row-index has 94 entries (94 at peak, 95 added, 1 deleted).
% 0.18/0.55  ; Feature-vector-row-index has 146 nodes (146 at peak, 146 added, 0 deleted).
% 0.18/0.55  ;  Retrieved 201 possibly forward subsuming rows in 110 calls.
% 0.18/0.55  ;  Retrieved 108 possibly backward subsumed rows in 95 calls.
% 0.18/0.55  ; Path-index has 202 entries (202 at peak, 202 added, 0 deleted).
% 0.18/0.55  ; Path-index has 359 nodes (359 at peak, 359 added, 0 deleted).
% 0.18/0.55  ; Trie-index has 202 entries (202 at peak, 202 added, 0 deleted).
% 0.18/0.55  ; Trie-index has 378 nodes (378 at peak, 378 added, 0 deleted).
% 0.18/0.55  ; Retrieved 578 generalization terms in 632 calls.
% 0.18/0.55  ; Retrieved 117 instance terms in 100 calls.
% 0.18/0.55  ; Retrieved 6,527 unifiable terms in 1,324 calls.
% 0.18/0.55  ; 
% 0.18/0.55  ; The agenda of rows to process has 7 entries:
% 0.18/0.55  ;     3 with value 11              4 with value 12
% 0.18/0.55  ; The agenda of rows to give has 106 entries:
% 0.18/0.55  ;     7 with value (4 8)          13 with value (4 11)          19 with value (4 14)
% 0.18/0.55  ;    27 with value (4 9)           7 with value (4 12)           3 with value (4 18)
% 0.18/0.55  ;     7 with value (4 10)         23 with value (4 13)
% 0.18/0.55  Evaluation took:
% 0.18/0.55    0.079 seconds of real time
% 0.18/0.55    0.066903 seconds of user run time
% 0.18/0.55    0.012804 seconds of system run time
% 0.18/0.55    0 calls to %EVAL
% 0.18/0.55    0 page faults and
% 0.18/0.55    4,728,944 bytes consed.
% 0.18/0.55  :PROOF-FOUND
% 0.18/0.55  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T17:15:07
% 0.18/0.55  :PROOF-FOUND
% 0.18/0.55  * 
%------------------------------------------------------------------------------