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SNARK---20120808r022.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO174+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n017.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 06:14:28 EDT 2022

% Result   : Theorem 0.41s 0.56s
% Output   : Refutation 0.41s
% 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(15,negated_conjecture,
    distinct_points('SKOLEMAAAV1','SKOLEMAAAV2'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(17,negated_conjecture,
    ( apart_point_and_line('SKOLEMAAAV1','SKOLEMAAAV3')
    | apart_point_and_line('SKOLEMAAAV2','SKOLEMAAAV3') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

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

cnf(19,plain,
    ~ apart_point_and_line('SKOLEMAAAV1',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[7,15]) ).

cnf(20,plain,
    ~ apart_point_and_line('SKOLEMAAAV2',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[8,15]) ).

cnf(42,plain,
    ~ apart_point_and_line('SKOLEMAAAV1','SKOLEMAAAV3'),
    inference('UR-RESOLVE',[status(thm)],[13,19,18]) ).

cnf(43,plain,
    apart_point_and_line('SKOLEMAAAV2','SKOLEMAAAV3'),
    inference('REWRITE',[status(thm)],[17,42]) ).

cnf(46,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[13,43,18]),20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : GEO174+1 : TPTP v8.1.0. Released v3.3.0.
% 0.14/0.15  % Command  : run-snark %s %d
% 0.22/0.37  % Computer : n017.cluster.edu
% 0.22/0.37  % Model    : x86_64 x86_64
% 0.22/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.37  % Memory   : 8042.1875MB
% 0.22/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.22/0.37  % CPULimit : 300
% 0.22/0.37  % WCLimit  : 600
% 0.22/0.37  % DateTime : Fri Jun 17 20:03:27 EDT 2022
% 0.22/0.37  % CPUTime  : 
% 0.23/0.51  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.52  * 
% 0.23/0.52  * 
% 0.23/0.53  #<PACKAGE "SNARK-USER">
% 0.23/0.53  * 
% 0.23/0.53  SNARK-TPTP-OPTIONS
% 0.23/0.53  * 
% 0.23/0.53  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.23/0.53   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.23/0.53   (USE-FACTORING :POS)
% 0.23/0.53   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.23/0.53   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.23/0.53   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.23/0.53   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.23/0.53   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.23/0.53   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.23/0.53   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.23/0.53   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.23/0.53   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.23/0.53   (DECLARE-TPTP-SYMBOLS2))
% 0.23/0.53  * 
% 0.23/0.53  "."
% 0.23/0.53  * 
% 0.23/0.53  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T20:03:27
% 0.23/0.53  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-17T20:03:27
% 0.41/0.56  
% 0.41/0.56  
% 0.41/0.56  #||
% 0.41/0.56  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.56  % SZS output start Refutation
% See solution above
% 0.41/0.56  ||#
% 0.41/0.56  
% 0.41/0.56  ; Summary of computation:
% 0.41/0.57  ;        78 formulas have been input or derived (from 25 formulas).
% 0.41/0.57  ;        46 (59%) were retained.  Of these,
% 0.41/0.57  ;            3 ( 7%) were simplified or subsumed later,
% 0.41/0.57  ;           43 (93%) are still being kept.
% 0.41/0.57  ; 
% 0.41/0.57  ; Run time in seconds excluding printing time:
% 0.41/0.57  ;     0.004  11%   Read assertion file          (1 call)
% 0.41/0.57  ;     0.001   3%   Assert                       (15 calls)
% 0.41/0.57  ;     0.007  19%   Process new row              (71 calls)
% 0.41/0.57  ;     0.000   0%   Resolution                   (48 calls)
% 0.41/0.57  ;     0.000   0%   Paramodulation               (24 calls)
% 0.41/0.57  ;     0.000   0%   Factoring                    (1 call)
% 0.41/0.57  ;     0.000   0%   Condensing                   (26 calls)
% 0.41/0.57  ;     0.000   0%   Forward subsumption          (26 calls)
% 0.41/0.57  ;     0.000   0%   Backward subsumption         (21 calls)
% 0.41/0.57  ;     0.000   0%   Clause clause subsumption    (11 calls)
% 0.41/0.57  ;     0.002   5%   Forward simplification       (71 calls)
% 0.41/0.57  ;     0.000   0%   Backward simplification      (46 calls)
% 0.41/0.57  ;     0.000   0%   Ordering                     (13 calls)
% 0.41/0.57  ;     0.001   3%   Sortal reasoning             (32 calls)
% 0.41/0.57  ;     0.000   0%   Purity testing               (1 call)
% 0.41/0.57  ;     0.022  59%   Other
% 0.41/0.57  ;     0.037        Total
% 0.41/0.57  ;     0.039        Real time
% 0.41/0.57  ; 
% 0.41/0.57  ; Term-hash-array has 58 terms in all.
% 0.41/0.57  ; Feature-vector-row-index has 18 entries (19 at peak, 21 added, 3 deleted).
% 0.41/0.57  ; Feature-vector-row-index has 35 nodes (50 at peak, 54 added, 19 deleted).
% 0.41/0.57  ;  Retrieved 8 possibly forward subsuming rows in 26 calls.
% 0.41/0.57  ;  Retrieved 3 possibly backward subsumed rows in 21 calls.
% 0.41/0.57  ; Path-index has 62 entries (62 at peak, 65 added, 3 deleted).
% 0.41/0.57  ; Path-index has 97 nodes (97 at peak, 97 added, 0 deleted).
% 0.41/0.57  ; Trie-index has 62 entries (62 at peak, 65 added, 3 deleted).
% 0.41/0.57  ; Trie-index has 97 nodes (97 at peak, 100 added, 3 deleted).
% 0.41/0.57  ; Retrieved 72 generalization terms in 95 calls.
% 0.41/0.57  ; Retrieved 24 instance terms in 24 calls.
% 0.41/0.57  ; Retrieved 606 unifiable terms in 199 calls.
% 0.41/0.57  ; 
% 0.41/0.57  ; The agenda of rows to process has 2 entries:
% 0.41/0.57  ;     2 with value 9
% 0.41/0.57  ; The agenda of rows to give has 19 entries:
% 0.41/0.57  ;     1 with value (4 6)          11 with value (4 9)            2 with value (4 10)
% 0.41/0.57  ;     5 with value (4 8)
% 0.41/0.57  Evaluation took:
% 0.41/0.57    0.039 seconds of real time
% 0.41/0.57    0.035061 seconds of user run time
% 0.41/0.57    0.004064 seconds of system run time
% 0.41/0.57    0 calls to %EVAL
% 0.41/0.57    0 page faults and
% 0.41/0.57    2,268,416 bytes consed.
% 0.41/0.57  :PROOF-FOUND
% 0.41/0.57  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T20:03:27
% 0.41/0.57  :PROOF-FOUND
% 0.41/0.57  * 
%------------------------------------------------------------------------------