TSTP Solution File: GEO260+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO260+1 : TPTP v8.1.0. Bugfixed v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n032.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 0.44s 0.65s
% Output   : Refutation 0.44s
% 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/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(34,axiom,
    ( ~ line(X)
    | ~ line(Y)
    | unequally_directed_lines(X,Y)
    | unequally_directed_lines(X,reverse_line(Y)) ),
    file('/export/starexec/sandbox2/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/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(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(52,negated_conjecture,
    line('SKOLEMAAAM1'),
    file('/export/starexec/sandbox2/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('SKOLEMAAAM1',reverse_line('SKOLEMAAAM1')),
    inference('UR-RESOLVE',[status(thm)],[34,52,52,30]) ).

cnf(115,plain,
    ( unequally_directed_lines('SKOLEMAAAM1',X)
    | unequally_directed_lines(reverse_line('SKOLEMAAAM1'),X) ),
    inference('HYPERRESOLVE',[status(thm)],[31,90]) ).

cnf(183,plain,
    ( unequally_directed_lines('SKOLEMAAAM1',X)
    | unequally_directed_lines('SKOLEMAAAM1',reverse_line(X)) ),
    inference('HYPERRESOLVE',[status(thm)],[58,115,115]) ).

cnf(313,plain,
    ( unequally_directed_lines('SKOLEMAAAM1',X)
    | unequally_directed_lines('SKOLEMAAAM1',Y)
    | unequally_directed_lines(reverse_line(X),Y) ),
    inference('HYPERRESOLVE',[status(thm)],[31,183]) ).

cnf(1218,plain,
    unequally_directed_lines('SKOLEMAAAM1',line_connecting(X,X)),
    inference('UR-RESOLVE',[status(thm)],[313,79]) ).

cnf(1279,plain,
    ~ unequally_directed_lines('SKOLEMAAAM1',reverse_line(line_connecting(X,X))),
    inference('UR-RESOLVE',[status(thm)],[58,1218]) ).

cnf(1280,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[31,1218,48]),1279]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08  % Problem  : GEO260+1 : TPTP v8.1.0. Bugfixed v8.1.0.
% 0.04/0.08  % Command  : run-snark %s %d
% 0.07/0.27  % Computer : n032.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit : 300
% 0.07/0.27  % WCLimit  : 600
% 0.07/0.27  % DateTime : Sat Jun 18 05:52:16 EDT 2022
% 0.07/0.27  % CPUTime  : 
% 0.11/0.34  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.34  * 
% 0.11/0.34  * 
% 0.11/0.35  #<PACKAGE "SNARK-USER">
% 0.11/0.35  * 
% 0.11/0.35  SNARK-TPTP-OPTIONS
% 0.11/0.35  * 
% 0.11/0.35  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.11/0.35   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.11/0.35   (USE-FACTORING :POS)
% 0.11/0.35   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.11/0.35   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.11/0.35   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.11/0.35   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.11/0.35   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.11/0.35   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.11/0.35   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.11/0.35   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.11/0.35   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.11/0.35   (DECLARE-TPTP-SYMBOLS2))
% 0.11/0.35  * 
% 0.11/0.35  "."
% 0.11/0.35  * 
% 0.11/0.35  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T05:52:16
% 0.11/0.35  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-18T05:52:16
% 0.44/0.65  
% 0.44/0.65  
% 0.44/0.65  #||
% 0.44/0.65  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.44/0.65  % SZS output start Refutation
% See solution above
% 0.44/0.66  ||#
% 0.44/0.66  
% 0.44/0.66  ; Summary of computation:
% 0.44/0.66  ;      4599 formulas have been input or derived (from 286 formulas).
% 0.44/0.66  ;      1280 (28%) were retained.  Of these,
% 0.44/0.66  ;           48 ( 4%) were simplified or subsumed later,
% 0.44/0.66  ;         1232 (96%) are still being kept.
% 0.44/0.66  ; 
% 0.44/0.66  ; Run time in seconds excluding printing time:
% 0.44/0.66  ;     0.005   2%   Read assertion file          (1 call)
% 0.44/0.66  ;     0.000   0%   Assert                       (32 calls)
% 0.44/0.66  ;     0.072  24%   Process new row              (4,251 calls)
% 0.44/0.66  ;     0.058  19%   Resolution                   (570 calls)
% 0.44/0.66  ;     0.007   2%   Paramodulation               (285 calls)
% 0.44/0.66  ;     0.001   0%   Factoring                    (52 calls)
% 0.44/0.66  ;     0.008   3%   Condensing                   (1,054 calls)
% 0.44/0.66  ;     0.040  13%   Forward subsumption          (1,054 calls)
% 0.44/0.66  ;     0.014   5%   Backward subsumption         (550 calls)
% 0.44/0.66  ;     0.009   3%   Clause clause subsumption    (3,279 calls)
% 0.44/0.66  ;     0.042  14%   Forward simplification       (4,251 calls)
% 0.44/0.66  ;     0.009   3%   Backward simplification      (1,279 calls)
% 0.44/0.66  ;     0.003   1%   Ordering                     (2,309 calls)
% 0.44/0.66  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.44/0.66  ;     0.000   0%   Purity testing               (1 call)
% 0.44/0.66  ;     0.035  12%   Other
% 0.44/0.66  ;     0.303        Total
% 0.44/0.66  ;     0.311        Real time
% 0.44/0.66  ; 
% 0.44/0.66  ; Term-hash-array has 1,589 terms in all.
% 0.44/0.66  ; Feature-vector-row-index has 506 entries (506 at peak, 550 added, 44 deleted).
% 0.44/0.66  ; Feature-vector-row-index has 1,560 nodes (1,560 at peak, 1,697 added, 137 deleted).
% 0.44/0.66  ;  Retrieved 3,820 possibly forward subsuming rows in 1,054 calls.
% 0.44/0.66  ;  Retrieved 638 possibly backward subsumed rows in 550 calls.
% 0.44/0.66  ; Path-index has 1,554 entries (1,554 at peak, 1,604 added, 50 deleted).
% 0.44/0.66  ; Path-index has 1,323 nodes (1,323 at peak, 1,354 added, 31 deleted).
% 0.44/0.66  ; Trie-index has 1,554 entries (1,554 at peak, 1,604 added, 50 deleted).
% 0.44/0.66  ; Trie-index has 4,727 nodes (4,727 at peak, 4,803 added, 76 deleted).
% 0.44/0.66  ; Retrieved 10,008 generalization terms in 6,732 calls.
% 0.44/0.66  ; Retrieved 770 instance terms in 728 calls.
% 0.44/0.66  ; Retrieved 29,627 unifiable terms in 4,570 calls.
% 0.44/0.66  ; 
% 0.44/0.66  ; The agenda of rows to process has 18 entries:
% 0.44/0.66  ;     1 with value 15              2 with value 18               2 with value 21
% 0.44/0.66  ;     2 with value 16              4 with value 19               2 with value 22
% 0.44/0.66  ;     4 with value 17              1 with value 20
% 0.44/0.66  ; The agenda of rows to give has 949 entries:
% 0.44/0.66  ;     1 with value (4 13)         93 with value (4 22)          13 with value (4 29)
% 0.44/0.66  ;     1 with value (4 14)         88 with value (4 23)           1 with value (4 30)
% 0.44/0.66  ;     1 with value (4 15)         73 with value (4 24)          48 with value (4 31)
% 0.44/0.66  ;    56 with value (4 18)        108 with value (4 25)          36 with value (4 34)
% 0.44/0.66  ;    57 with value (4 19)         36 with value (4 26)          12 with value (4 35)
% 0.44/0.66  ;    94 with value (4 20)         81 with value (4 27)          12 with value (4 38)
% 0.44/0.66  ;   132 with value (4 21)          6 with value (4 28)
% 0.44/0.66  Evaluation took:
% 0.44/0.66    0.311 seconds of real time
% 0.44/0.66    0.274561 seconds of user run time
% 0.44/0.66    0.036819 seconds of system run time
% 0.44/0.66    [Run times include 0.016 seconds GC run time.]
% 0.44/0.66    0 calls to %EVAL
% 0.44/0.66    0 page faults and
% 0.44/0.66    25,771,776 bytes consed.
% 0.44/0.66  :PROOF-FOUND
% 0.44/0.66  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T05:52:17
% 0.44/0.66  :PROOF-FOUND
% 0.44/0.66  * 
%------------------------------------------------------------------------------