TSTP Solution File: GEO196+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO196+3 : TPTP v8.1.0. Released v4.0.0.
% 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 06:14:48 EDT 2022

% Result   : Theorem 0.14s 0.45s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   13 (   8 unt;   3 nHn;   9 RR)
%            Number of literals    :   20 (   0 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   23 (   8 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(41,axiom,
    ( incident_point_and_line(X,Y)
    | apart_point_and_line(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',a4) ).

cnf(48,negated_conjecture,
    ( ~ incident_point_and_line(intersection_point('SKOLEMAAAO3','SKOLEMAAAO4'),'SKOLEMAAAO1')
    | ~ incident_point_and_line(intersection_point('SKOLEMAAAO3','SKOLEMAAAO4'),'SKOLEMAAAO2') ),
    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(129,plain,
    ~ distinct_lines(X,parallel_through_point(X,Y)),
    inference('UR-RESOLVE',[status(thm)],[5,49,2]) ).

cnf(224,plain,
    ~ apart_point_and_line(X,Y),
    inference('UR-RESOLVE',[status(thm)],[13,129,17]) ).

cnf(226,plain,
    incident_point_and_line(X,Y),
    inference('REWRITE',[status(thm)],[41,224]) ).

cnf(227,plain,
    $false,
    inference('REWRITE',[status(thm)],[48,226]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : GEO196+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.10  % Command  : run-snark %s %d
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit : 300
% 0.10/0.29  % WCLimit  : 600
% 0.10/0.29  % DateTime : Sat Jun 18 10:02:32 EDT 2022
% 0.10/0.30  % CPUTime  : 
% 0.14/0.38  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.39  * 
% 0.14/0.39  * 
% 0.14/0.39  #<PACKAGE "SNARK-USER">
% 0.14/0.39  * 
% 0.14/0.39  SNARK-TPTP-OPTIONS
% 0.14/0.39  * 
% 0.14/0.39  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.14/0.39   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.14/0.39   (USE-FACTORING :POS)
% 0.14/0.39   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.14/0.39   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.14/0.39   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.14/0.39   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.14/0.39   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.14/0.39   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.14/0.39   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.14/0.39   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.14/0.39   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.14/0.39   (DECLARE-TPTP-SYMBOLS2))
% 0.14/0.39  * 
% 0.14/0.39  "."
% 0.14/0.39  * 
% 0.14/0.39  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T10:02:32
% 0.14/0.39  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-18T10:02:32
% 0.14/0.45  
% 0.14/0.45  
% 0.14/0.45  #||
% 0.14/0.45  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.45  % SZS output start Refutation
% See solution above
% 0.14/0.45  ||#
% 0.14/0.45  
% 0.14/0.45  ; Summary of computation:
% 0.14/0.45  ;       564 formulas have been input or derived (from 97 formulas).
% 0.14/0.45  ;       227 (40%) were retained.  Of these,
% 0.14/0.45  ;           55 (24%) were simplified or subsumed later,
% 0.14/0.45  ;          172 (76%) are still being kept.
% 0.14/0.45  ; 
% 0.14/0.45  ; Run time in seconds:
% 0.14/0.45  ;     0.007  12%   Read assertion file          (1 call)
% 0.14/0.45  ;     0.001   2%   Assert                       (36 calls)
% 0.14/0.45  ;     0.007  12%   Process new row              (505 calls)
% 0.14/0.45  ;     0.010  17%   Resolution                   (192 calls)
% 0.14/0.45  ;     0.000   0%   Paramodulation               (96 calls)
% 0.14/0.45  ;     0.000   0%   Factoring                    (12 calls)
% 0.14/0.45  ;     0.001   2%   Condensing                   (141 calls)
% 0.14/0.45  ;     0.006  10%   Forward subsumption          (141 calls)
% 0.14/0.45  ;     0.001   2%   Backward subsumption         (112 calls)
% 0.14/0.45  ;     0.000   0%   Clause clause subsumption    (470 calls)
% 0.14/0.45  ;     0.004   7%   Forward simplification       (505 calls)
% 0.14/0.45  ;     0.003   5%   Backward simplification      (227 calls)
% 0.14/0.45  ;     0.000   0%   Ordering                     (231 calls)
% 0.14/0.45  ;     0.001   2%   Sortal reasoning             (32 calls)
% 0.14/0.45  ;     0.000   0%   Purity testing               (1 call)
% 0.14/0.45  ;     0.017  29%   Other
% 0.14/0.45  ;     0.058        Total
% 0.14/0.45  ;     0.058        Real time
% 0.14/0.45  ; 
% 0.14/0.45  ; Term-hash-array has 239 terms in all.
% 0.14/0.45  ; Feature-vector-row-index has 95 entries (110 at peak, 112 added, 17 deleted).
% 0.14/0.45  ; Feature-vector-row-index has 167 nodes (219 at peak, 220 added, 53 deleted).
% 0.14/0.45  ;  Retrieved 370 possibly forward subsuming rows in 141 calls.
% 0.14/0.45  ;  Retrieved 119 possibly backward subsumed rows in 112 calls.
% 0.14/0.45  ; Path-index has 172 entries (243 at peak, 244 added, 72 deleted).
% 0.14/0.45  ; Path-index has 369 nodes (417 at peak, 418 added, 49 deleted).
% 0.14/0.45  ; Trie-index has 172 entries (243 at peak, 244 added, 72 deleted).
% 0.14/0.45  ; Trie-index has 350 nodes (458 at peak, 459 added, 109 deleted).
% 0.14/0.45  ; Retrieved 890 generalization terms in 915 calls.
% 0.14/0.45  ; Retrieved 183 instance terms in 114 calls.
% 0.14/0.45  ; Retrieved 8,354 unifiable terms in 1,594 calls.
% 0.14/0.45  ; 
% 0.14/0.45  ; The agenda of backward simplifiable rows to process has 7 entries:
% 0.14/0.45  ;     7 with value 0
% 0.14/0.45  ; The agenda of rows to process has 25 entries:
% 0.14/0.45  ;     1 with value 7               1 with value 12               3 with value 13
% 0.14/0.45  ;    20 with value 10
% 0.14/0.45  ; The agenda of input rows to give has 2 entries:
% 0.14/0.45  ;     1 with value 4               1 with value 12
% 0.14/0.45  ; The agenda of rows to give has 100 entries:
% 0.14/0.45  ;     1 with value (4 7)           5 with value (4 11)          20 with value (4 14)
% 0.14/0.45  ;    18 with value (4 9)          12 with value (4 12)          24 with value (4 18)
% 0.14/0.45  ;     5 with value (4 10)         15 with value (4 13)
% 0.14/0.45  Evaluation took:
% 0.14/0.45    0.059 seconds of real time
% 0.14/0.45    0.051845 seconds of user run time
% 0.14/0.45    0.007076 seconds of system run time
% 0.14/0.45    0 calls to %EVAL
% 0.14/0.45    0 page faults and
% 0.14/0.45    4,954,352 bytes consed.
% 0.14/0.45  :PROOF-FOUND
% 0.14/0.45  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T10:02:32
% 0.14/0.45  :PROOF-FOUND
% 0.14/0.45  * 
%------------------------------------------------------------------------------