TSTP Solution File: GEO177+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO177+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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 06:14:31 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   11 (   7 unt;   3 nHn;   9 RR)
%            Number of literals    :   17 (   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    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   19 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ~ distinct_lines(X,X),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart2) ).

cnf(5,axiom,
    ( ~ distinct_lines(X,Y)
    | distinct_lines(X,Z)
    | distinct_lines(Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart5) ).

cnf(13,axiom,
    ( ~ apart_point_and_line(X,Y)
    | distinct_lines(Y,Z)
    | apart_point_and_line(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq2) ).

cnf(15,axiom,
    ( ~ distinct_lines(X,Y)
    | convergent_lines(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+1.ax',p1) ).

cnf(16,axiom,
    ~ convergent_lines(parallel_through_point(X,Y),X),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cp1) ).

cnf(17,axiom,
    ~ apart_point_and_line(X,parallel_through_point(Y,X)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cp2) ).

cnf(46,negated_conjecture,
    ( apart_point_and_line('SKOLEMAAAV1',line_connecting('SKOLEMAAAV3','SKOLEMAAAV4'))
    | apart_point_and_line('SKOLEMAAAV2',line_connecting('SKOLEMAAAV3','SKOLEMAAAV4')) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(49,plain,
    ~ distinct_lines(parallel_through_point(X,Y),X),
    inference('UR-RESOLVE',[status(thm)],[15,16]) ).

cnf(84,plain,
    ~ distinct_lines(X,parallel_through_point(X,Y)),
    inference('UR-RESOLVE',[status(thm)],[5,49,2]) ).

cnf(135,plain,
    ~ apart_point_and_line(X,Y),
    inference('UR-RESOLVE',[status(thm)],[13,84,17]) ).

cnf(136,plain,
    $false,
    inference('REWRITE',[status(thm)],[46,135]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : GEO177+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 03:23:16 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T03:23:16
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-18T03:23:16
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  #||
% 0.19/0.52  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52  % SZS output start Refutation
% See solution above
% 0.19/0.52  ||#
% 0.19/0.52  
% 0.19/0.52  ; Summary of computation:
% 0.19/0.52  ;       297 formulas have been input or derived (from 81 formulas).
% 0.19/0.52  ;       136 (46%) were retained.  Of these,
% 0.19/0.52  ;           40 (29%) were simplified or subsumed later,
% 0.19/0.52  ;           96 (71%) are still being kept.
% 0.19/0.52  ; 
% 0.19/0.52  ; Run time in seconds excluding printing time:
% 0.19/0.52  ;     0.011  17%   Read assertion file          (1 call)
% 0.19/0.52  ;     0.001   2%   Assert                       (36 calls)
% 0.19/0.52  ;     0.009  14%   Process new row              (267 calls)
% 0.19/0.52  ;     0.012  19%   Resolution                   (160 calls)
% 0.19/0.52  ;     0.000   0%   Paramodulation               (80 calls)
% 0.19/0.52  ;     0.000   0%   Factoring                    (9 calls)
% 0.19/0.52  ;     0.000   0%   Condensing                   (54 calls)
% 0.19/0.52  ;     0.000   0%   Forward subsumption          (54 calls)
% 0.19/0.52  ;     0.001   2%   Backward subsumption         (46 calls)
% 0.19/0.52  ;     0.001   2%   Clause clause subsumption    (35 calls)
% 0.19/0.52  ;     0.001   2%   Forward simplification       (267 calls)
% 0.19/0.52  ;     0.002   3%   Backward simplification      (136 calls)
% 0.19/0.52  ;     0.000   0%   Ordering                     (30 calls)
% 0.19/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.52  ;     0.025  40%   Other
% 0.19/0.52  ;     0.063        Total
% 0.19/0.52  ;     0.066        Real time
% 0.19/0.52  ; 
% 0.19/0.52  ; Term-hash-array has 165 terms in all.
% 0.19/0.52  ; Feature-vector-row-index has 32 entries (45 at peak, 46 added, 14 deleted).
% 0.19/0.52  ; Feature-vector-row-index has 62 nodes (113 at peak, 113 added, 51 deleted).
% 0.19/0.52  ;  Retrieved 25 possibly forward subsuming rows in 54 calls.
% 0.19/0.52  ;  Retrieved 15 possibly backward subsumed rows in 46 calls.
% 0.19/0.52  ; Path-index has 117 entries (169 at peak, 169 added, 52 deleted).
% 0.19/0.52  ; Path-index has 334 nodes (379 at peak, 379 added, 45 deleted).
% 0.19/0.52  ; Trie-index has 117 entries (169 at peak, 169 added, 52 deleted).
% 0.19/0.52  ; Trie-index has 269 nodes (390 at peak, 390 added, 121 deleted).
% 0.19/0.52  ; Retrieved 304 generalization terms in 334 calls.
% 0.19/0.52  ; Retrieved 142 instance terms in 89 calls.
% 0.19/0.52  ; Retrieved 4,818 unifiable terms in 1,154 calls.
% 0.19/0.52  ; 
% 0.19/0.52  ; The agenda of backward simplifiable rows to process has 6 entries:
% 0.19/0.52  ;     6 with value 0
% 0.19/0.53  ; The agenda of rows to process has 9 entries:
% 0.19/0.53  ;     1 with value 7               1 with value 12               3 with value 13
% 0.19/0.53  ;     4 with value 10
% 0.19/0.53  ; The agenda of rows to give has 38 entries:
% 0.19/0.53  ;     1 with value (4 7)           5 with value (4 11)           3 with value (4 13)
% 0.19/0.53  ;    10 with value (4 9)          12 with value (4 12)           2 with value (4 14)
% 0.19/0.53  ;     5 with value (4 10)
% 0.19/0.53  Evaluation took:
% 0.19/0.53    0.066 seconds of real time
% 0.19/0.53    0.055093 seconds of user run time
% 0.19/0.53    0.011198 seconds of system run time
% 0.19/0.53    0 calls to %EVAL
% 0.19/0.53    0 page faults and
% 0.19/0.53    3,508,840 bytes consed.
% 0.19/0.53  :PROOF-FOUND
% 0.19/0.53  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T03:23:16
% 0.19/0.53  :PROOF-FOUND
% 0.19/0.53  * 
%------------------------------------------------------------------------------