TSTP Solution File: GEO259+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO259+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n008.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 06:15:31 EDT 2022

% Result   : Theorem 0.62s 0.86s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   16 (   9 unt;   6 nHn;  11 RR)
%            Number of literals    :   29 (   0 equ;  12 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   22 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(30,axiom,
    ~ unequally_directed_lines(X,X),
    file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO007+0.ax',oag6) ).

cnf(34,axiom,
    ( ~ line(X)
    | ~ line(Y)
    | unequally_directed_lines(X,Y)
    | unequally_directed_lines(X,reverse_line(Y)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag8) ).

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/sandbox/benchmark/Axioms/GEO007+0.ax',oag9) ).

cnf(37,axiom,
    ~ left_convergent_lines(X,Y),
    file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO007+0.ax',oagco9) ).

cnf(52,negated_conjecture,
    line('SKOLEMAAAV1'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(58,plain,
    ( ~ unequally_directed_lines(X,Y)
    | ~ unequally_directed_lines(X,reverse_line(Y)) ),
    inference('REWRITE',[status(thm)],[35,37]) ).

cnf(79,plain,
    ~ unequally_directed_lines(reverse_line(line_connecting(X,Y)),line_connecting(Y,X)),
    inference('UR-RESOLVE',[status(thm)],[31,30,48]) ).

cnf(90,plain,
    unequally_directed_lines('SKOLEMAAAV1',reverse_line('SKOLEMAAAV1')),
    inference('UR-RESOLVE',[status(thm)],[34,52,52,30]) ).

cnf(115,plain,
    ( unequally_directed_lines('SKOLEMAAAV1',X)
    | unequally_directed_lines(reverse_line('SKOLEMAAAV1'),X) ),
    inference('HYPERRESOLVE',[status(thm)],[31,90]) ).

cnf(185,plain,
    ( unequally_directed_lines('SKOLEMAAAV1',X)
    | unequally_directed_lines('SKOLEMAAAV1',reverse_line(X)) ),
    inference('HYPERRESOLVE',[status(thm)],[58,115,115]) ).

cnf(313,plain,
    ( unequally_directed_lines('SKOLEMAAAV1',X)
    | unequally_directed_lines('SKOLEMAAAV1',Y)
    | unequally_directed_lines(reverse_line(X),Y) ),
    inference('HYPERRESOLVE',[status(thm)],[31,185]) ).

cnf(1214,plain,
    unequally_directed_lines('SKOLEMAAAV1',line_connecting(X,X)),
    inference('UR-RESOLVE',[status(thm)],[313,79]) ).

cnf(1275,plain,
    ~ unequally_directed_lines('SKOLEMAAAV1',reverse_line(line_connecting(X,X))),
    inference('UR-RESOLVE',[status(thm)],[58,1214]) ).

cnf(1276,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[31,1214,48]),1275]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO259+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Fri Jun 17 23:42:07 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T23:42:07
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-17T23:42:07
% 0.62/0.86  
% 0.62/0.86  
% 0.62/0.86  #||
% 0.62/0.86  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.62/0.86  % SZS output start Refutation
% See solution above
% 0.70/0.87  ||#
% 0.70/0.87  
% 0.70/0.87  ; Summary of computation:
% 0.70/0.87  ;      4593 formulas have been input or derived (from 286 formulas).
% 0.70/0.87  ;      1276 (28%) were retained.  Of these,
% 0.70/0.87  ;           50 ( 4%) were simplified or subsumed later,
% 0.70/0.87  ;         1226 (96%) are still being kept.
% 0.70/0.87  ; 
% 0.70/0.87  ; Run time in seconds excluding printing time:
% 0.70/0.87  ;     0.008   2%   Read assertion file          (1 call)
% 0.70/0.87  ;     0.001   0%   Assert                       (32 calls)
% 0.70/0.87  ;     0.086  23%   Process new row              (4,250 calls)
% 0.70/0.87  ;     0.070  19%   Resolution                   (570 calls)
% 0.70/0.87  ;     0.002   1%   Paramodulation               (285 calls)
% 0.70/0.87  ;     0.000   0%   Factoring                    (52 calls)
% 0.70/0.87  ;     0.006   2%   Condensing                   (1,060 calls)
% 0.70/0.87  ;     0.048  13%   Forward subsumption          (1,060 calls)
% 0.70/0.87  ;     0.019   5%   Backward subsumption         (546 calls)
% 0.70/0.87  ;     0.014   4%   Clause clause subsumption    (3,353 calls)
% 0.70/0.87  ;     0.067  18%   Forward simplification       (4,250 calls)
% 0.70/0.87  ;     0.010   3%   Backward simplification      (1,275 calls)
% 0.70/0.87  ;     0.005   1%   Ordering                     (2,286 calls)
% 0.70/0.87  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.70/0.87  ;     0.000   0%   Purity testing               (1 call)
% 0.70/0.87  ;     0.033   9%   Other
% 0.70/0.87  ;     0.370        Total
% 0.70/0.87  ;     0.383        Real time
% 0.70/0.87  ; 
% 0.70/0.87  ; Term-hash-array has 1,591 terms in all.
% 0.70/0.87  ; Feature-vector-row-index has 500 entries (500 at peak, 546 added, 46 deleted).
% 0.70/0.87  ; Feature-vector-row-index has 1,553 nodes (1,553 at peak, 1,700 added, 147 deleted).
% 0.70/0.87  ;  Retrieved 3,917 possibly forward subsuming rows in 1,060 calls.
% 0.70/0.87  ;  Retrieved 652 possibly backward subsumed rows in 546 calls.
% 0.70/0.87  ; Path-index has 1,556 entries (1,556 at peak, 1,606 added, 50 deleted).
% 0.70/0.87  ; Path-index has 1,323 nodes (1,323 at peak, 1,354 added, 31 deleted).
% 0.70/0.87  ; Trie-index has 1,556 entries (1,556 at peak, 1,606 added, 50 deleted).
% 0.70/0.87  ; Trie-index has 4,729 nodes (4,729 at peak, 4,805 added, 76 deleted).
% 0.70/0.87  ; Retrieved 9,996 generalization terms in 6,719 calls.
% 0.70/0.87  ; Retrieved 770 instance terms in 728 calls.
% 0.70/0.87  ; Retrieved 29,616 unifiable terms in 4,574 calls.
% 0.70/0.87  ; 
% 0.70/0.87  ; The agenda of rows to process has 18 entries:
% 0.70/0.87  ;     1 with value 15              2 with value 18               2 with value 21
% 0.70/0.87  ;     2 with value 16              4 with value 19               2 with value 22
% 0.70/0.87  ;     4 with value 17              1 with value 20
% 0.70/0.87  ; The agenda of rows to give has 943 entries:
% 0.70/0.87  ;     1 with value (4 13)         93 with value (4 22)          13 with value (4 29)
% 0.70/0.87  ;     1 with value (4 14)         88 with value (4 23)           1 with value (4 30)
% 0.70/0.87  ;     1 with value (4 15)         73 with value (4 24)          48 with value (4 31)
% 0.70/0.87  ;    56 with value (4 18)        106 with value (4 25)          36 with value (4 34)
% 0.70/0.87  ;    57 with value (4 19)         36 with value (4 26)          12 with value (4 35)
% 0.70/0.87  ;    92 with value (4 20)         81 with value (4 27)          12 with value (4 38)
% 0.70/0.87  ;   130 with value (4 21)          6 with value (4 28)
% 0.70/0.87  Evaluation took:
% 0.70/0.87    0.383 seconds of real time
% 0.70/0.87    0.349184 seconds of user run time
% 0.70/0.87    0.034095 seconds of system run time
% 0.70/0.87    [Run times include 0.022 seconds GC run time.]
% 0.70/0.87    0 calls to %EVAL
% 0.70/0.87    0 page faults and
% 0.70/0.87    25,771,080 bytes consed.
% 0.70/0.87  :PROOF-FOUND
% 0.70/0.87  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T23:42:08
% 0.70/0.87  :PROOF-FOUND
% 0.70/0.87  * 
%------------------------------------------------------------------------------