TSTP Solution File: GEO189+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO189+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 06:14:42 EDT 2022

% Result   : Theorem 0.37s 0.55s
% Output   : Refutation 0.37s
% 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;  18 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 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(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(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,
    distinct_points('SKOLEMAAAV1','SKOLEMAAAV2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(45,negated_conjecture,
    distinct_points('SKOLEMAAAV1','SKOLEMAAAV3'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

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

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

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

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

cnf(65,plain,
    ~ apart_point_and_line('SKOLEMAAAV1',line_connecting('SKOLEMAAAV1','SKOLEMAAAV3')),
    inference('UR-RESOLVE',[status(thm)],[7,45]) ).

cnf(67,plain,
    ~ apart_point_and_line('SKOLEMAAAV1',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[7,44]) ).

cnf(68,plain,
    ~ apart_point_and_line('SKOLEMAAAV3',line_connecting('SKOLEMAAAV1','SKOLEMAAAV3')),
    inference('UR-RESOLVE',[status(thm)],[8,45]) ).

cnf(70,plain,
    ~ apart_point_and_line('SKOLEMAAAV2',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[8,44]) ).

cnf(71,plain,
    distinct_points('SKOLEMAAAV3','SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[4,45,1]) ).

cnf(119,plain,
    ~ distinct_lines(line_connecting('SKOLEMAAAV1','SKOLEMAAAV3'),line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[11,68,71,60,65,67]) ).

cnf(125,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[13,70,61]),119]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO189+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n027.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sat Jun 18 04:00:07 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.19/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48  * 
% 0.19/0.48  * 
% 0.19/0.49  #<PACKAGE "SNARK-USER">
% 0.19/0.49  * 
% 0.19/0.49  SNARK-TPTP-OPTIONS
% 0.19/0.49  * 
% 0.19/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.49   (USE-FACTORING :POS)
% 0.19/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.49  * 
% 0.19/0.49  "."
% 0.19/0.49  * 
% 0.19/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T04:00:07
% 0.19/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-18T04:00:07
% 0.37/0.55  
% 0.37/0.55  
% 0.37/0.55  #||
% 0.37/0.55  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.55  % SZS output start Refutation
% See solution above
% 0.37/0.55  ||#
% 0.37/0.55  
% 0.37/0.55  ; Summary of computation:
% 0.37/0.55  ;       258 formulas have been input or derived (from 77 formulas).
% 0.37/0.55  ;       125 (48%) were retained.  Of these,
% 0.37/0.55  ;            1 ( 1%) were simplified or subsumed later,
% 0.37/0.55  ;          124 (99%) are still being kept.
% 0.37/0.55  ; 
% 0.37/0.55  ; Run time in seconds excluding printing time:
% 0.37/0.55  ;     0.011  18%   Read assertion file          (1 call)
% 0.37/0.55  ;     0.001   2%   Assert                       (36 calls)
% 0.37/0.55  ;     0.006  10%   Process new row              (229 calls)
% 0.37/0.55  ;     0.009  15%   Resolution                   (152 calls)
% 0.37/0.55  ;     0.001   2%   Paramodulation               (76 calls)
% 0.37/0.55  ;     0.000   0%   Factoring                    (6 calls)
% 0.37/0.55  ;     0.001   2%   Condensing                   (50 calls)
% 0.37/0.55  ;     0.000   0%   Forward subsumption          (50 calls)
% 0.37/0.55  ;     0.000   0%   Backward subsumption         (44 calls)
% 0.37/0.55  ;     0.000   0%   Clause clause subsumption    (31 calls)
% 0.37/0.55  ;     0.005   8%   Forward simplification       (229 calls)
% 0.37/0.55  ;     0.000   0%   Backward simplification      (125 calls)
% 0.37/0.55  ;     0.001   2%   Ordering                     (25 calls)
% 0.37/0.55  ;     0.001   2%   Sortal reasoning             (32 calls)
% 0.37/0.55  ;     0.001   2%   Purity testing               (1 call)
% 0.37/0.55  ;     0.024  39%   Other
% 0.37/0.55  ;     0.061        Total
% 0.37/0.55  ;     0.065        Real time
% 0.37/0.55  ; 
% 0.37/0.55  ; Term-hash-array has 153 terms in all.
% 0.37/0.55  ; Feature-vector-row-index has 43 entries (43 at peak, 44 added, 1 deleted).
% 0.37/0.55  ; Feature-vector-row-index has 84 nodes (84 at peak, 84 added, 0 deleted).
% 0.37/0.55  ;  Retrieved 21 possibly forward subsuming rows in 50 calls.
% 0.37/0.55  ;  Retrieved 15 possibly backward subsumed rows in 44 calls.
% 0.37/0.55  ; Path-index has 156 entries (156 at peak, 156 added, 0 deleted).
% 0.37/0.55  ; Path-index has 321 nodes (321 at peak, 321 added, 0 deleted).
% 0.37/0.55  ; Trie-index has 156 entries (156 at peak, 156 added, 0 deleted).
% 0.37/0.55  ; Trie-index has 324 nodes (324 at peak, 324 added, 0 deleted).
% 0.37/0.55  ; Retrieved 258 generalization terms in 288 calls.
% 0.37/0.55  ; Retrieved 94 instance terms in 80 calls.
% 0.37/0.55  ; Retrieved 4,905 unifiable terms in 1,161 calls.
% 0.37/0.55  ; 
% 0.37/0.55  ; The agenda of rows to process has 8 entries:
% 0.37/0.55  ;     7 with value 11              1 with value 12
% 0.37/0.55  ; The agenda of rows to give has 47 entries:
% 0.37/0.55  ;     1 with value (4 8)           7 with value (4 11)           5 with value (4 13)
% 0.37/0.55  ;    21 with value (4 9)          11 with value (4 12)           1 with value (4 14)
% 0.37/0.55  ;     1 with value (4 10)
% 0.37/0.55  Evaluation took:
% 0.37/0.55    0.065 seconds of real time
% 0.37/0.55    0.05479 seconds of user run time
% 0.37/0.55    0.009928 seconds of system run time
% 0.37/0.55    0 calls to %EVAL
% 0.37/0.55    0 page faults and
% 0.37/0.55    4,029,352 bytes consed.
% 0.37/0.55  :PROOF-FOUND
% 0.37/0.55  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T04:00:08
% 0.37/0.55  :PROOF-FOUND
% 0.37/0.55  * 
%------------------------------------------------------------------------------