TSTP Solution File: GEO226+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO226+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 06:15:12 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    8 (   5 unt;   1 nHn;   7 RR)
%            Number of literals    :   13 (   0 equ;   7 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    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ~ distinct_points(X,X),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart1) ).

cnf(9,axiom,
    ( ~ convergent_lines(X,Y)
    | ~ apart_point_and_line(Z,X)
    | distinct_points(Z,intersection_point(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',con2) ).

cnf(10,axiom,
    ( ~ convergent_lines(X,Y)
    | ~ apart_point_and_line(Z,Y)
    | distinct_points(Z,intersection_point(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',con2) ).

cnf(21,negated_conjecture,
    convergent_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(23,negated_conjecture,
    ( apart_point_and_line(X,'SKOLEMAAAV1')
    | apart_point_and_line(X,'SKOLEMAAAV2') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(36,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[9,21,1]) ).

cnf(37,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV2'),
    inference('UR-RESOLVE',[status(thm)],[10,21,1]) ).

cnf(52,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[23,36]),37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO226+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n027.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 20:39:22 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 2022-06-17T20:39:22
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-17T20:39:22
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  #||
% 0.20/0.52  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.52  % SZS output start Refutation
% See solution above
% 0.20/0.52  ||#
% 0.20/0.52  
% 0.20/0.52  ; Summary of computation:
% 0.20/0.52  ;        81 formulas have been input or derived (from 31 formulas).
% 0.20/0.52  ;        52 (64%) were retained.  Of these,
% 0.20/0.52  ;            4 ( 8%) were simplified or subsumed later,
% 0.20/0.52  ;           48 (92%) are still being kept.
% 0.20/0.52  ; 
% 0.20/0.52  ; Run time in seconds:
% 0.20/0.52  ;     0.005  14%   Read assertion file          (1 call)
% 0.20/0.52  ;     0.000   0%   Assert                       (17 calls)
% 0.20/0.52  ;     0.003   8%   Process new row              (78 calls)
% 0.20/0.52  ;     0.003   8%   Resolution                   (60 calls)
% 0.20/0.52  ;     0.000   0%   Paramodulation               (30 calls)
% 0.20/0.52  ;     0.000   0%   Factoring                    (1 call)
% 0.20/0.52  ;     0.000   0%   Condensing                   (27 calls)
% 0.20/0.52  ;     0.000   0%   Forward subsumption          (27 calls)
% 0.20/0.52  ;     0.000   0%   Backward subsumption         (25 calls)
% 0.20/0.52  ;     0.000   0%   Clause clause subsumption    (10 calls)
% 0.20/0.52  ;     0.000   0%   Forward simplification       (78 calls)
% 0.20/0.52  ;     0.001   3%   Backward simplification      (52 calls)
% 0.20/0.52  ;     0.000   0%   Ordering                     (14 calls)
% 0.20/0.52  ;     0.001   3%   Sortal reasoning             (32 calls)
% 0.20/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.52  ;     0.024  65%   Other
% 0.20/0.52  ;     0.037        Total
% 0.20/0.52  ;     0.038        Real time
% 0.20/0.52  ; 
% 0.20/0.52  ; Term-hash-array has 82 terms in all.
% 0.20/0.52  ; Feature-vector-row-index has 21 entries (21 at peak, 25 added, 4 deleted).
% 0.20/0.52  ; Feature-vector-row-index has 48 nodes (48 at peak, 61 added, 13 deleted).
% 0.20/0.52  ;  Retrieved 7 possibly forward subsuming rows in 27 calls.
% 0.20/0.52  ;  Retrieved 3 possibly backward subsumed rows in 25 calls.
% 0.20/0.52  ; Path-index has 81 entries (81 at peak, 90 added, 9 deleted).
% 0.20/0.52  ; Path-index has 158 nodes (158 at peak, 171 added, 13 deleted).
% 0.20/0.52  ; Trie-index has 81 entries (81 at peak, 90 added, 9 deleted).
% 0.20/0.52  ; Trie-index has 151 nodes (151 at peak, 170 added, 19 deleted).
% 0.20/0.52  ; Retrieved 68 generalization terms in 91 calls.
% 0.20/0.52  ; Retrieved 28 instance terms in 26 calls.
% 0.20/0.52  ; Retrieved 594 unifiable terms in 181 calls.
% 0.20/0.52  ; 
% 0.20/0.52  ; The agenda of rows to process has 1 entry:
% 0.20/0.52  ;     1 with value 9
% 0.20/0.52  ; The agenda of rows to give has 17 entries:
% 0.20/0.52  ;     1 with value (4 8)           1 with value (4 10)           1 with value (4 12)
% 0.20/0.52  ;     3 with value (4 9)           8 with value (4 11)           3 with value (4 13)
% 0.20/0.52  Evaluation took:
% 0.20/0.52    0.038 seconds of real time
% 0.20/0.52    0.030198 seconds of user run time
% 0.20/0.52    0.008257 seconds of system run time
% 0.20/0.52    0 calls to %EVAL
% 0.20/0.52    0 page faults and
% 0.20/0.52    2,170,176 bytes consed.
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T20:39:22
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  * 
%------------------------------------------------------------------------------