TSTP Solution File: GEO233+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO233+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n015.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 06:15:16 EDT 2022

% Result   : Theorem 0.23s 0.55s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   10 (   7 unt;   2 nHn;   9 RR)
%            Number of literals    :   16 (   0 equ;   9 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   10 (   2 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(37,axiom,
    ~ left_convergent_lines(X,Y),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag11) ).

cnf(52,negated_conjecture,
    unequally_directed_lines(reverse_line(reverse_line('SKOLEMAAAV1')),'SKOLEMAAAV1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(53,plain,
    ( ~ unequally_directed_lines(X,Y)
    | ~ unequally_directed_lines(X,reverse_line(Y)) ),
    inference('REWRITE',[status(thm)],[35,37]) ).

cnf(62,plain,
    ~ unequally_directed_lines(reverse_line(reverse_line('SKOLEMAAAV1')),reverse_line('SKOLEMAAAV1')),
    inference('UR-RESOLVE',[status(thm)],[53,52]) ).

cnf(67,plain,
    unequally_directed_lines('SKOLEMAAAV1',reverse_line(reverse_line('SKOLEMAAAV1'))),
    inference('UR-RESOLVE',[status(thm)],[31,52,30]) ).

cnf(83,plain,
    ~ unequally_directed_lines('SKOLEMAAAV1',reverse_line('SKOLEMAAAV1')),
    inference('UR-RESOLVE',[status(thm)],[53,67]) ).

cnf(89,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[31,83,67]),62]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : GEO233+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.08/0.15  % Command  : run-snark %s %d
% 0.16/0.37  % Computer : n015.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 600
% 0.16/0.37  % DateTime : Sat Jun 18 13:48:28 EDT 2022
% 0.16/0.37  % CPUTime  : 
% 0.23/0.49  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.50  * 
% 0.23/0.50  * 
% 0.23/0.50  #<PACKAGE "SNARK-USER">
% 0.23/0.50  * 
% 0.23/0.50  SNARK-TPTP-OPTIONS
% 0.23/0.50  * 
% 0.23/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.23/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.23/0.50   (USE-FACTORING :POS)
% 0.23/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.23/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.23/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.23/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.23/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.23/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.23/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.23/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.23/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.23/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.23/0.50  * 
% 0.23/0.50  "."
% 0.23/0.50  * 
% 0.23/0.50  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T13:48:28
% 0.23/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-06-18T13:48:28
% 0.23/0.55  
% 0.23/0.55  
% 0.23/0.55  #||
% 0.23/0.55  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.55  % SZS output start Refutation
% See solution above
% 0.23/0.55  ||#
% 0.23/0.55  
% 0.23/0.55  ; Summary of computation:
% 0.23/0.55  ;       140 formulas have been input or derived (from 43 formulas).
% 0.23/0.55  ;        89 (64%) were retained.  Of these,
% 0.23/0.55  ;           25 (28%) were simplified or subsumed later,
% 0.23/0.55  ;           64 (72%) are still being kept.
% 0.23/0.55  ; 
% 0.23/0.55  ; Run time in seconds:
% 0.23/0.55  ;     0.009  18%   Read assertion file          (1 call)
% 0.23/0.55  ;     0.002   4%   Assert                       (32 calls)
% 0.23/0.55  ;     0.008  16%   Process new row              (130 calls)
% 0.23/0.55  ;     0.003   6%   Resolution                   (84 calls)
% 0.23/0.55  ;     0.001   2%   Paramodulation               (42 calls)
% 0.23/0.55  ;     0.000   0%   Condensing                   (47 calls)
% 0.23/0.55  ;     0.001   2%   Forward subsumption          (47 calls)
% 0.23/0.55  ;     0.001   2%   Backward subsumption         (44 calls)
% 0.23/0.55  ;     0.000   0%   Clause clause subsumption    (52 calls)
% 0.23/0.55  ;     0.000   0%   Forward simplification       (130 calls)
% 0.23/0.55  ;     0.001   2%   Backward simplification      (88 calls)
% 0.23/0.55  ;     0.000   0%   Ordering                     (1 call)
% 0.23/0.55  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.23/0.55  ;     0.000   0%   Purity testing               (1 call)
% 0.23/0.55  ;     0.023  47%   Other
% 0.23/0.55  ;     0.049        Total
% 0.23/0.55  ;     0.050        Real time
% 0.23/0.55  ; 
% 0.23/0.55  ; Term-hash-array has 107 terms in all.
% 0.23/0.55  ; Feature-vector-row-index has 21 entries (32 at peak, 44 added, 23 deleted).
% 0.23/0.55  ; Feature-vector-row-index has 43 nodes (56 at peak, 86 added, 43 deleted).
% 0.23/0.55  ;  Retrieved 29 possibly forward subsuming rows in 47 calls.
% 0.23/0.55  ;  Retrieved 25 possibly backward subsumed rows in 44 calls.
% 0.23/0.55  ; Path-index has 92 entries (92 at peak, 111 added, 19 deleted).
% 0.23/0.55  ; Path-index has 242 nodes (242 at peak, 260 added, 18 deleted).
% 0.23/0.55  ; Trie-index has 92 entries (92 at peak, 111 added, 19 deleted).
% 0.23/0.55  ; Trie-index has 199 nodes (199 at peak, 226 added, 27 deleted).
% 0.23/0.55  ; Retrieved 159 generalization terms in 146 calls.
% 0.23/0.55  ; Retrieved 64 instance terms in 43 calls.
% 0.23/0.55  ; Retrieved 615 unifiable terms in 225 calls.
% 0.23/0.55  ; 
% 0.23/0.55  ; The agenda of rows to process has 2 entries:
% 0.23/0.55  ;     2 with value 12
% 0.23/0.55  ; The agenda of rows to give has 21 entries:
% 0.23/0.55  ;     1 with value (4 6)           6 with value (4 10)           2 with value (4 13)
% 0.23/0.55  ;     3 with value (4 9)           7 with value (4 12)           2 with value (4 15)
% 0.23/0.55  Evaluation took:
% 0.23/0.55    0.05 seconds of real time
% 0.23/0.55    0.046817 seconds of user run time
% 0.23/0.55    0.003332 seconds of system run time
% 0.23/0.55    0 calls to %EVAL
% 0.23/0.55    0 page faults and
% 0.23/0.55    2,804,192 bytes consed.
% 0.23/0.55  :PROOF-FOUND
% 0.23/0.55  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T13:48:28
% 0.23/0.55  :PROOF-FOUND
% 0.23/0.55  * 
%------------------------------------------------------------------------------