TSTP Solution File: GEO087-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO087-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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 06:13:47 EDT 2022

% Result   : Unsatisfiable 0.44s 0.59s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   11 (   7 unt;   0 nHn;   9 RR)
%            Number of literals    :   18 (   0 equ;   9 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   14 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(part_of_defn_1,axiom,
    ( ~ part_of(X,Y)
    | ~ incident_c(Z,X)
    | incident_c(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_1) ).

cnf(inner_point_defn_21,axiom,
    ( ~ inner_point(X,Y)
    | incident_c(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',inner_point_defn_21) ).

cnf(inner_point_defn_22,axiom,
    ( ~ inner_point(X,Y)
    | ~ end_point(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',inner_point_defn_22) ).

cnf(meet_defn_26,axiom,
    ( ~ meet(X,Y,Z)
    | ~ incident_c(U,Y)
    | ~ incident_c(U,Z)
    | end_point(U,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',meet_defn_26) ).

cnf(c3_37,axiom,
    inner_point(ax0_sk8(X),X),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',c3_37) ).

cnf(corollary_2_9_67,negated_conjecture,
    part_of(sk14,sk15),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_9_67) ).

cnf(corollary_2_9_68,negated_conjecture,
    meet(sk16,sk14,sk15),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_9_68) ).

cnf(46,plain,
    incident_c(ax0_sk8(X),X),
    inference('HYPERRESOLVE',[status(thm)],[inner_point_defn_21,c3_37]) ).

cnf(47,plain,
    ~ end_point(ax0_sk8(X),X),
    inference('UR-RESOLVE',[status(thm)],[inner_point_defn_22,c3_37]) ).

cnf(164,plain,
    incident_c(ax0_sk8(sk14),sk15),
    inference('HYPERRESOLVE',[status(thm)],[part_of_defn_1,46,corollary_2_9_67]) ).

cnf(185,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[meet_defn_26,47,corollary_2_9_68,46]),164]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO087-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n029.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sat Jun 18 07:33:59 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 0.21/0.49  #<PACKAGE "SNARK-USER">
% 0.21/0.49  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49   (USE-FACTORING :POS)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49  * 
% 0.21/0.49  "."
% 0.21/0.49  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T07:33:59
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-18T07:33:59
% 0.44/0.59  
% 0.44/0.59  
% 0.44/0.59  #||
% 0.44/0.59  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.44/0.59  % SZS output start Refutation
% See solution above
% 0.44/0.59  ||#
% 0.44/0.59  
% 0.44/0.59  ; Summary of computation:
% 0.44/0.59  ;       429 formulas have been input or derived (from 56 formulas).
% 0.44/0.59  ;       185 (43%) were retained.  Of these,
% 0.44/0.59  ;           17 ( 9%) were simplified or subsumed later,
% 0.44/0.59  ;          168 (91%) are still being kept.
% 0.44/0.59  ; 
% 0.44/0.59  ; Run time in seconds excluding printing time:
% 0.44/0.59  ;     0.011  11%   Read assertion file          (1 call)
% 0.44/0.59  ;     0.002   2%   Assert                       (50 calls)
% 0.44/0.59  ;     0.019  18%   Process new row              (318 calls)
% 0.44/0.59  ;     0.019  18%   Resolution                   (110 calls)
% 0.44/0.59  ;     0.000   0%   Paramodulation               (55 calls)
% 0.44/0.59  ;     0.000   0%   Factoring                    (4 calls)
% 0.44/0.59  ;     0.006   6%   Condensing                   (196 calls)
% 0.44/0.59  ;     0.011  11%   Forward subsumption          (196 calls)
% 0.44/0.59  ;     0.003   3%   Backward subsumption         (139 calls)
% 0.44/0.59  ;     0.002   2%   Clause clause subsumption    (544 calls)
% 0.44/0.59  ;     0.005   5%   Forward simplification       (318 calls)
% 0.44/0.59  ;     0.001   1%   Backward simplification      (185 calls)
% 0.44/0.59  ;     0.002   2%   Ordering                     (993 calls)
% 0.44/0.59  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.44/0.59  ;     0.000   0%   Purity testing               (1 call)
% 0.44/0.59  ;     0.023  22%   Other
% 0.44/0.59  ;     0.104        Total
% 0.44/0.59  ;     0.105        Real time
% 0.44/0.59  ; 
% 0.44/0.59  ; Term-hash-array has 347 terms in all.
% 0.44/0.60  ; Feature-vector-row-index has 122 entries (126 at peak, 139 added, 17 deleted).
% 0.44/0.60  ; Feature-vector-row-index has 307 nodes (330 at peak, 388 added, 81 deleted).
% 0.44/0.60  ;  Retrieved 555 possibly forward subsuming rows in 196 calls.
% 0.44/0.60  ;  Retrieved 81 possibly backward subsumed rows in 139 calls.
% 0.44/0.60  ; Path-index has 331 entries (339 at peak, 368 added, 37 deleted).
% 0.44/0.60  ; Path-index has 701 nodes (706 at peak, 754 added, 53 deleted).
% 0.44/0.60  ; Trie-index has 331 entries (339 at peak, 368 added, 37 deleted).
% 0.44/0.60  ; Trie-index has 665 nodes (680 at peak, 759 added, 94 deleted).
% 0.44/0.60  ; Retrieved 198 generalization terms in 780 calls.
% 0.44/0.60  ; Retrieved 71 instance terms in 45 calls.
% 0.44/0.60  ; Retrieved 10,441 unifiable terms in 1,231 calls.
% 0.44/0.60  ; 
% 0.44/0.60  ; The agenda of rows to process has 7 entries:
% 0.44/0.60  ;     1 with value 8               2 with value 12               2 with value 14
% 0.44/0.60  ;     2 with value 11
% 0.44/0.60  ; The agenda of rows to give has 112 entries:
% 0.44/0.60  ;     5 with value (4 7)           2 with value (4 19)           3 with value (4 36)
% 0.44/0.60  ;     2 with value (4 8)           3 with value (4 20)           2 with value (4 38)
% 0.44/0.60  ;     4 with value (4 9)           5 with value (4 21)           3 with value (4 39)
% 0.44/0.60  ;    14 with value (4 10)          2 with value (4 23)           7 with value (4 40)
% 0.44/0.60  ;     2 with value (4 11)          4 with value (4 26)           6 with value (4 43)
% 0.44/0.60  ;     3 with value (4 12)          4 with value (4 29)           6 with value (4 46)
% 0.44/0.60  ;     3 with value (4 13)          4 with value (4 31)           1 with value (4 54)
% 0.44/0.60  ;     1 with value (4 14)          3 with value (4 32)           2 with value (4 55)
% 0.44/0.60  ;     6 with value (4 15)          6 with value (4 34)           6 with value (4 56)
% 0.44/0.60  ;     3 with value (4 16)
% 0.44/0.60  Evaluation took:
% 0.44/0.60    0.106 seconds of real time
% 0.44/0.60    0.089001 seconds of user run time
% 0.44/0.60    0.016839 seconds of system run time
% 0.44/0.60    0 calls to %EVAL
% 0.44/0.60    0 page faults and
% 0.44/0.60    5,667,272 bytes consed.
% 0.44/0.60  :PROOF-FOUND
% 0.44/0.60  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T07:33:59
% 0.44/0.60  :PROOF-FOUND
% 0.44/0.60  * 
%------------------------------------------------------------------------------