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

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO230+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n003.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 06:15:14 EDT 2022

% Result   : Theorem 1.43s 1.57s
% Output   : Refutation 1.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   20 (  11 unt;   7 nHn;  15 RR)
%            Number of literals    :   42 (   0 equ;  16 neg)
%            Maximal clause size   :   10 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   33 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(30,axiom,
    ~ unequally_directed_lines(X,X),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag5) ).

cnf(31,axiom,
    ( ~ unequally_directed_lines(X,Y)
    | unequally_directed_lines(X,Z)
    | unequally_directed_lines(Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag6) ).

cnf(35,axiom,
    ( ~ unequally_directed_lines(X,Y)
    | ~ unequally_directed_lines(X,reverse_line(Y))
    | left_convergent_lines(X,Y)
    | left_convergent_lines(X,reverse_line(Y)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag9) ).

cnf(36,axiom,
    ~ left_apart_point(X,Y),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag10) ).

cnf(37,axiom,
    ~ left_convergent_lines(X,Y),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag11) ).

cnf(48,axiom,
    ~ unequally_directed_lines(line_connecting(X,Y),reverse_line(line_connecting(Y,X))),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oagco9) ).

cnf(50,axiom,
    ( ~ distinct_points(X,Y)
    | ~ distinct_lines(Z,U)
    | left_apart_point(X,Z)
    | left_apart_point(Y,Z)
    | left_apart_point(X,U)
    | left_apart_point(Y,U)
    | left_apart_point(X,reverse_line(Z))
    | left_apart_point(Y,reverse_line(Z))
    | left_apart_point(X,reverse_line(U))
    | left_apart_point(Y,reverse_line(U)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oaguc1) ).

cnf(51,plain,
    ( ~ distinct_points(X,Y)
    | ~ distinct_lines(Z,U) ),
    inference('REWRITE',[status(thm)],[50,36]) ).

cnf(52,negated_conjecture,
    distinct_points('SKOLEMAAAU1','SKOLEMAAAU2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(53,negated_conjecture,
    ( distinct_lines(line_connecting('SKOLEMAAAU1','SKOLEMAAAU2'),line_connecting('SKOLEMAAAU2','SKOLEMAAAU1'))
    | unequally_directed_lines(line_connecting('SKOLEMAAAU2','SKOLEMAAAU1'),line_connecting('SKOLEMAAAU1','SKOLEMAAAU2')) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(54,plain,
    ( ~ unequally_directed_lines(X,Y)
    | ~ unequally_directed_lines(X,reverse_line(Y)) ),
    inference('REWRITE',[status(thm)],[35,37]) ).

cnf(60,plain,
    ~ distinct_lines(X,Y),
    inference('UR-RESOLVE',[status(thm)],[51,52]) ).

cnf(61,plain,
    unequally_directed_lines(line_connecting('SKOLEMAAAU2','SKOLEMAAAU1'),line_connecting('SKOLEMAAAU1','SKOLEMAAAU2')),
    inference('REWRITE',[status(thm)],[53,60]) ).

cnf(73,plain,
    ~ unequally_directed_lines(reverse_line(line_connecting(X,Y)),line_connecting(Y,X)),
    inference('UR-RESOLVE',[status(thm)],[31,30,48]) ).

cnf(76,plain,
    ( unequally_directed_lines(line_connecting('SKOLEMAAAU2','SKOLEMAAAU1'),X)
    | unequally_directed_lines(line_connecting('SKOLEMAAAU1','SKOLEMAAAU2'),X) ),
    inference('HYPERRESOLVE',[status(thm)],[31,61]) ).

cnf(195,plain,
    ( unequally_directed_lines(line_connecting('SKOLEMAAAU1','SKOLEMAAAU2'),X)
    | unequally_directed_lines(line_connecting('SKOLEMAAAU2','SKOLEMAAAU1'),Y)
    | unequally_directed_lines(X,Y) ),
    inference('HYPERRESOLVE',[status(thm)],[31,76]) ).

cnf(1221,plain,
    ( unequally_directed_lines(line_connecting('SKOLEMAAAU2','SKOLEMAAAU1'),X)
    | unequally_directed_lines(Y,X)
    | unequally_directed_lines(line_connecting('SKOLEMAAAU2','SKOLEMAAAU1'),reverse_line(Y)) ),
    inference('HYPERRESOLVE',[status(thm)],[54,195,76]) ).

cnf(3447,plain,
    unequally_directed_lines(line_connecting('SKOLEMAAAU2','SKOLEMAAAU1'),reverse_line(line_connecting(X,X))),
    inference('UR-RESOLVE',[status(thm)],[1221,48]) ).

cnf(3572,plain,
    ~ unequally_directed_lines(line_connecting('SKOLEMAAAU2','SKOLEMAAAU1'),line_connecting(X,X)),
    inference('UR-RESOLVE',[status(thm)],[54,3447]) ).

cnf(3573,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[31,3447,73]),3572]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO230+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n003.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 18:29:28 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45  * 
% 0.20/0.45  * 
% 0.20/0.46  #<PACKAGE "SNARK-USER">
% 0.20/0.46  * 
% 0.20/0.46  SNARK-TPTP-OPTIONS
% 0.20/0.46  * 
% 0.20/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46   (USE-FACTORING :POS)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46  * 
% 0.20/0.46  "."
% 0.20/0.46  * 
% 0.20/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T18:29:28
% 0.20/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-06-18T18:29:28
% 1.43/1.57  
% 1.43/1.57  
% 1.43/1.57  #||
% 1.43/1.57  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.43/1.57  % SZS output start Refutation
% See solution above
% 1.43/1.58  ||#
% 1.43/1.58  
% 1.43/1.58  ; Summary of computation:
% 1.43/1.58  ;     19849 formulas have been input or derived (from 678 formulas).
% 1.43/1.58  ;      3573 (18%) were retained.  Of these,
% 1.43/1.58  ;           44 ( 1%) were simplified or subsumed later,
% 1.43/1.58  ;         3529 (99%) are still being kept.
% 1.43/1.58  ; 
% 1.43/1.58  ; Run time in seconds excluding printing time:
% 1.43/1.59  ;     0.009   1%   Read assertion file          (1 call)
% 1.43/1.59  ;     0.002   0%   Assert                       (32 calls)
% 1.43/1.59  ;     0.248  22%   Process new row              (18,332 calls)
% 1.43/1.59  ;     0.305  27%   Resolution                   (1,354 calls)
% 1.43/1.59  ;     0.037   3%   Paramodulation               (677 calls)
% 1.43/1.59  ;     0.000   0%   Factoring                    (73 calls)
% 1.43/1.59  ;     0.018   2%   Condensing                   (1,691 calls)
% 1.43/1.59  ;     0.111  10%   Forward subsumption          (1,691 calls)
% 1.43/1.59  ;     0.033   3%   Backward subsumption         (733 calls)
% 1.43/1.59  ;     0.044   4%   Clause clause subsumption    (26,707 calls)
% 1.43/1.59  ;     0.167  15%   Forward simplification       (18,332 calls)
% 1.43/1.59  ;     0.030   3%   Backward simplification      (3,572 calls)
% 1.43/1.59  ;     0.022   2%   Ordering                     (9,143 calls)
% 1.43/1.59  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.43/1.59  ;     0.000   0%   Purity testing               (1 call)
% 1.43/1.59  ;     0.087   8%   Other
% 1.43/1.59  ;     1.113        Total
% 1.43/1.59  ;     1.123        Real time
% 1.43/1.59  ; 
% 1.43/1.59  ; Term-hash-array has 3,915 terms in all.
% 1.43/1.59  ; Feature-vector-row-index has 693 entries (693 at peak, 733 added, 40 deleted).
% 1.43/1.59  ; Feature-vector-row-index has 1,185 nodes (1,185 at peak, 1,336 added, 151 deleted).
% 1.43/1.59  ;  Retrieved 34,157 possibly forward subsuming rows in 1,691 calls.
% 1.43/1.59  ;  Retrieved 6,176 possibly backward subsumed rows in 733 calls.
% 1.43/1.59  ; Path-index has 3,894 entries (3,894 at peak, 3,936 added, 42 deleted).
% 1.43/1.59  ; Path-index has 3,962 nodes (3,962 at peak, 4,004 added, 42 deleted).
% 1.43/1.59  ; Trie-index has 3,894 entries (3,894 at peak, 3,936 added, 42 deleted).
% 1.43/1.59  ; Trie-index has 17,755 nodes (17,755 at peak, 17,856 added, 101 deleted).
% 1.43/1.59  ; Retrieved 33,688 generalization terms in 23,578 calls.
% 1.43/1.59  ; Retrieved 2,901 instance terms in 2,838 calls.
% 1.43/1.59  ; Retrieved 145,080 unifiable terms in 16,775 calls.
% 1.43/1.59  ; 
% 1.43/1.59  ; The agenda of rows to process has 47 entries:
% 1.43/1.59  ;     6 with value 16              4 with value 20               5 with value 24
% 1.43/1.59  ;     3 with value 17              4 with value 21               2 with value 25
% 1.43/1.59  ;     4 with value 18              4 with value 22               2 with value 27
% 1.43/1.59  ;     4 with value 19              8 with value 23               1 with value 28
% 1.43/1.59  ; The agenda of rows to give has 2854 entries:
% 1.43/1.59  ;     3 with value (4 14)        248 with value (4 29)           8 with value (4 38)
% 1.43/1.59  ;     1 with value (4 17)        172 with value (4 30)           9 with value (4 39)
% 1.43/1.59  ;     2 with value (4 21)        158 with value (4 31)           6 with value (4 40)
% 1.43/1.59  ;   108 with value (4 22)        113 with value (4 32)          10 with value (4 41)
% 1.43/1.59  ;   222 with value (4 23)        106 with value (4 33)           6 with value (4 42)
% 1.43/1.59  ;   236 with value (4 24)         88 with value (4 34)          18 with value (4 43)
% 1.43/1.59  ;   305 with value (4 25)        111 with value (4 35)           6 with value (4 44)
% 1.43/1.59  ;   309 with value (4 26)          4 with value (4 36)          10 with value (4 45)
% 1.43/1.59  ;   316 with value (4 27)         12 with value (4 37)           2 with value (4 47)
% 1.43/1.59  ;   265 with value (4 28)
% 1.43/1.59  Evaluation took:
% 1.43/1.59    1.124 seconds of real time
% 1.43/1.59    0.993925 seconds of user run time
% 1.43/1.59    0.129877 seconds of system run time
% 1.43/1.59    [Run times include 0.074 seconds GC run time.]
% 1.43/1.59    0 calls to %EVAL
% 1.43/1.59    0 page faults and
% 1.43/1.59    88,170,184 bytes consed.
% 1.43/1.59  :PROOF-FOUND
% 1.43/1.59  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T18:29:29
% 1.43/1.59  :PROOF-FOUND
% 1.43/1.59  * 
%------------------------------------------------------------------------------