TSTP Solution File: GEO174+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO174+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n016.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 06:14:29 EDT 2022

% Result   : Theorem 0.37s 0.53s
% Output   : Refutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   7 unt;   2 nHn;  10 RR)
%            Number of literals    :   16 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   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   :    7 (   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(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(44,negated_conjecture,
    distinct_points('SKOLEMAAAV1','SKOLEMAAAV2'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

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

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

cnf(62,plain,
    ~ apart_point_and_line('SKOLEMAAAV1',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[7,44]) ).

cnf(63,plain,
    ~ apart_point_and_line('SKOLEMAAAV2',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[8,44]) ).

cnf(129,plain,
    ~ apart_point_and_line('SKOLEMAAAV1','SKOLEMAAAV3'),
    inference('UR-RESOLVE',[status(thm)],[13,62,47]) ).

cnf(130,plain,
    apart_point_and_line('SKOLEMAAAV2','SKOLEMAAAV3'),
    inference('REWRITE',[status(thm)],[46,129]) ).

cnf(138,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[13,130,47]),63]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO174+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n016.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 11:36:22 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 2022-06-18T11:36:22
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-06-18T11:36:22
% 0.37/0.53  
% 0.37/0.53  
% 0.37/0.53  #||
% 0.37/0.53  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.53  % SZS output start Refutation
% See solution above
% 0.37/0.53  ||#
% 0.37/0.53  
% 0.37/0.53  ; Summary of computation:
% 0.37/0.53  ;       261 formulas have been input or derived (from 72 formulas).
% 0.37/0.53  ;       138 (53%) were retained.  Of these,
% 0.37/0.53  ;            4 ( 3%) were simplified or subsumed later,
% 0.37/0.53  ;          134 (97%) are still being kept.
% 0.37/0.53  ; 
% 0.37/0.53  ; Run time in seconds excluding printing time:
% 0.37/0.53  ;     0.011  18%   Read assertion file          (1 call)
% 0.37/0.53  ;     0.001   2%   Assert                       (36 calls)
% 0.37/0.53  ;     0.007  11%   Process new row              (247 calls)
% 0.37/0.53  ;     0.008  13%   Resolution                   (142 calls)
% 0.37/0.53  ;     0.001   2%   Paramodulation               (71 calls)
% 0.37/0.53  ;     0.001   2%   Factoring                    (7 calls)
% 0.37/0.54  ;     0.001   2%   Condensing                   (74 calls)
% 0.37/0.54  ;     0.000   0%   Forward subsumption          (74 calls)
% 0.37/0.54  ;     0.001   2%   Backward subsumption         (63 calls)
% 0.37/0.54  ;     0.000   0%   Clause clause subsumption    (121 calls)
% 0.37/0.54  ;     0.006  10%   Forward simplification       (247 calls)
% 0.37/0.54  ;     0.002   3%   Backward simplification      (138 calls)
% 0.37/0.54  ;     0.000   0%   Ordering                     (74 calls)
% 0.37/0.54  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.37/0.54  ;     0.000   0%   Purity testing               (1 call)
% 0.37/0.54  ;     0.023  37%   Other
% 0.37/0.54  ;     0.062        Total
% 0.37/0.54  ;     0.064        Real time
% 0.37/0.54  ; 
% 0.37/0.54  ; Term-hash-array has 158 terms in all.
% 0.37/0.54  ; Feature-vector-row-index has 59 entries (60 at peak, 63 added, 4 deleted).
% 0.37/0.54  ; Feature-vector-row-index has 104 nodes (118 at peak, 122 added, 18 deleted).
% 0.37/0.54  ;  Retrieved 83 possibly forward subsuming rows in 74 calls.
% 0.37/0.54  ;  Retrieved 46 possibly backward subsumed rows in 63 calls.
% 0.37/0.54  ; Path-index has 162 entries (162 at peak, 164 added, 2 deleted).
% 0.37/0.54  ; Path-index has 373 nodes (373 at peak, 373 added, 0 deleted).
% 0.37/0.54  ; Trie-index has 162 entries (162 at peak, 164 added, 2 deleted).
% 0.37/0.54  ; Trie-index has 339 nodes (339 at peak, 341 added, 2 deleted).
% 0.37/0.54  ; Retrieved 337 generalization terms in 376 calls.
% 0.37/0.54  ; Retrieved 88 instance terms in 74 calls.
% 0.37/0.54  ; Retrieved 3,220 unifiable terms in 700 calls.
% 0.37/0.54  ; 
% 0.37/0.54  ; The agenda of rows to process has 2 entries:
% 0.37/0.54  ;     2 with value 9
% 0.37/0.54  ; The agenda of rows to give has 63 entries:
% 0.37/0.54  ;     1 with value (4 5)           3 with value (4 10)           9 with value (4 13)
% 0.37/0.54  ;     1 with value (4 6)           4 with value (4 11)           7 with value (4 14)
% 0.37/0.54  ;    10 with value (4 8)           8 with value (4 12)           1 with value (4 18)
% 0.37/0.54  ;    19 with value (4 9)
% 0.37/0.54  Evaluation took:
% 0.37/0.54    0.065 seconds of real time
% 0.37/0.54    0.053695 seconds of user run time
% 0.37/0.54    0.011011 seconds of system run time
% 0.37/0.54    0 calls to %EVAL
% 0.37/0.54    0 page faults and
% 0.37/0.54    3,394,512 bytes consed.
% 0.37/0.54  :PROOF-FOUND
% 0.37/0.54  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T11:36:22
% 0.37/0.54  :PROOF-FOUND
% 0.37/0.54  * 
%------------------------------------------------------------------------------