TSTP Solution File: GEO188+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO188+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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 06:14:40 EDT 2022

% Result   : Theorem 0.21s 0.53s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   17 (  12 unt;   3 nHn;  15 RR)
%            Number of literals    :   28 (   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   :   15 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ~ distinct_points(X,X),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart1) ).

cnf(4,axiom,
    ( ~ distinct_points(X,Y)
    | distinct_points(X,Z)
    | distinct_points(Y,Z) ),
    file('/export/starexec/sandbox/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/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(13,axiom,
    ( ~ apart_point_and_line(X,Y)
    | distinct_lines(Y,Z)
    | apart_point_and_line(X,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq2) ).

cnf(15,negated_conjecture,
    distinct_points('SKOLEMAAAV1','SKOLEMAAAV2'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(17,negated_conjecture,
    distinct_points('SKOLEMAAAV2','SKOLEMAAAV3'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(18,negated_conjecture,
    ~ apart_point_and_line('SKOLEMAAAV3',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(19,negated_conjecture,
    apart_point_and_line('SKOLEMAAAV1',line_connecting('SKOLEMAAAV3','SKOLEMAAAV2')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(22,plain,
    ~ apart_point_and_line('SKOLEMAAAV1',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[7,15]) ).

cnf(25,plain,
    ~ apart_point_and_line('SKOLEMAAAV2',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[8,15]) ).

cnf(27,plain,
    distinct_points('SKOLEMAAAV3','SKOLEMAAAV2'),
    inference('UR-RESOLVE',[status(thm)],[4,17,1]) ).

cnf(36,plain,
    ~ apart_point_and_line('SKOLEMAAAV2',line_connecting('SKOLEMAAAV3','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[8,27]) ).

cnf(37,plain,
    ~ apart_point_and_line('SKOLEMAAAV3',line_connecting('SKOLEMAAAV3','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[7,27]) ).

cnf(41,plain,
    distinct_lines(line_connecting('SKOLEMAAAV3','SKOLEMAAAV2'),line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[13,22,19]) ).

cnf(54,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[11,37,27,18,36,25]),41]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO188+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sat Jun 18 10:55:02 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T10:55:02
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-18T10:55:02
% 0.21/0.53  
% 0.21/0.53  
% 0.21/0.53  #||
% 0.21/0.53  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.53  % SZS output start Refutation
% See solution above
% 0.21/0.53  ||#
% 0.21/0.53  
% 0.21/0.53  ; Summary of computation:
% 0.21/0.53  ;       148 formulas have been input or derived (from 36 formulas).
% 0.21/0.53  ;        54 (36%) were retained.  Of these,
% 0.21/0.53  ;           54 (100%) are still being kept.
% 0.21/0.53  ; 
% 0.21/0.53  ; Run time in seconds excluding printing time:
% 0.21/0.53  ;     0.004  10%   Read assertion file          (1 call)
% 0.21/0.53  ;     0.001   2%   Assert                       (15 calls)
% 0.21/0.53  ;     0.003   7%   Process new row              (112 calls)
% 0.21/0.53  ;     0.007  17%   Resolution                   (70 calls)
% 0.21/0.53  ;     0.001   2%   Paramodulation               (35 calls)
% 0.21/0.53  ;     0.000   0%   Factoring                    (3 calls)
% 0.21/0.53  ;     0.000   0%   Condensing                   (22 calls)
% 0.21/0.53  ;     0.001   2%   Forward subsumption          (22 calls)
% 0.21/0.53  ;     0.000   0%   Backward subsumption         (19 calls)
% 0.21/0.53  ;     0.000   0%   Clause clause subsumption    (10 calls)
% 0.21/0.53  ;     0.002   5%   Forward simplification       (112 calls)
% 0.21/0.53  ;     0.000   0%   Backward simplification      (54 calls)
% 0.21/0.53  ;     0.000   0%   Ordering                     (8 calls)
% 0.21/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.21/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.53  ;     0.022  54%   Other
% 0.21/0.53  ;     0.041        Total
% 0.21/0.53  ;     0.044        Real time
% 0.21/0.53  ; 
% 0.21/0.53  ; Term-hash-array has 70 terms in all.
% 0.21/0.53  ; Feature-vector-row-index has 19 entries (19 at peak, 19 added, 0 deleted).
% 0.21/0.53  ; Feature-vector-row-index has 46 nodes (46 at peak, 46 added, 0 deleted).
% 0.21/0.53  ;  Retrieved 8 possibly forward subsuming rows in 22 calls.
% 0.21/0.53  ;  Retrieved 2 possibly backward subsumed rows in 19 calls.
% 0.21/0.53  ; Path-index has 73 entries (73 at peak, 73 added, 0 deleted).
% 0.21/0.53  ; Path-index has 83 nodes (83 at peak, 83 added, 0 deleted).
% 0.21/0.53  ; Trie-index has 73 entries (73 at peak, 73 added, 0 deleted).
% 0.21/0.53  ; Trie-index has 117 nodes (117 at peak, 117 added, 0 deleted).
% 0.21/0.53  ; Retrieved 116 generalization terms in 131 calls.
% 0.21/0.53  ; Retrieved 34 instance terms in 34 calls.
% 0.21/0.53  ; Retrieved 2,984 unifiable terms in 761 calls.
% 0.21/0.53  ; 
% 0.21/0.53  ; The agenda of rows to process has 11 entries:
% 0.21/0.53  ;    11 with value 12
% 0.21/0.53  ; The agenda of rows to give has 18 entries:
% 0.21/0.53  ;     2 with value (4 9)           7 with value (4 12)           3 with value (4 14)
% 0.21/0.53  ;     6 with value (4 11)
% 0.21/0.53  Evaluation took:
% 0.21/0.53    0.044 seconds of real time
% 0.21/0.53    0.033188 seconds of user run time
% 0.21/0.53    0.010902 seconds of system run time
% 0.21/0.53    0 calls to %EVAL
% 0.21/0.53    0 page faults and
% 0.21/0.53    2,911,496 bytes consed.
% 0.21/0.53  :PROOF-FOUND
% 0.21/0.53  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T10:55:03
% 0.21/0.53  :PROOF-FOUND
% 0.21/0.53  * 
%------------------------------------------------------------------------------