TSTP Solution File: GEO094-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO094-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n023.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 06:13:50 EDT 2022

% Result   : Unsatisfiable 0.39s 0.62s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   23 (  14 unt;   2 nHn;  21 RR)
%            Number of literals    :   42 (   0 equ;  22 neg)
%            Maximal clause size   :    7 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   28 (   4 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(end_point_defn_14,axiom,
    ( ~ end_point(X,Y)
    | ~ part_of(Z,Y)
    | ~ part_of(U,Y)
    | ~ incident_c(X,Z)
    | ~ incident_c(X,U)
    | part_of(Z,U)
    | part_of(U,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',end_point_defn_14) ).

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_24,axiom,
    ( ~ meet(X,Y,Z)
    | incident_c(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',meet_defn_24) ).

cnf(meet_defn_25,axiom,
    ( ~ meet(X,Y,Z)
    | incident_c(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',meet_defn_25) ).

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(meet_defn_27,axiom,
    ( ~ meet(X,Y,Z)
    | ~ incident_c(U,Y)
    | ~ incident_c(U,Z)
    | end_point(U,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',meet_defn_27) ).

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

cnf(proposition_2_14_3_67,negated_conjecture,
    meet(sk17,sk15,sk16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proposition_2_14_3_67) ).

cnf(proposition_2_14_3_68,negated_conjecture,
    part_of(sk15,sk14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proposition_2_14_3_68) ).

cnf(proposition_2_14_3_69,negated_conjecture,
    part_of(sk16,sk14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proposition_2_14_3_69) ).

cnf(proposition_2_14_3_70,negated_conjecture,
    end_point(sk17,sk14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proposition_2_14_3_70) ).

cnf(51,plain,
    incident_c(ax0_sk8(X),X),
    inference('HYPERRESOLVE',[status(thm)],[inner_point_defn_21,c3_37]) ).

cnf(53,plain,
    ~ end_point(ax0_sk8(X),X),
    inference('UR-RESOLVE',[status(thm)],[inner_point_defn_22,c3_37]) ).

cnf(54,plain,
    incident_c(sk17,sk15),
    inference('HYPERRESOLVE',[status(thm)],[meet_defn_24,proposition_2_14_3_67]) ).

cnf(55,plain,
    incident_c(sk17,sk16),
    inference('HYPERRESOLVE',[status(thm)],[meet_defn_25,proposition_2_14_3_67]) ).

cnf(172,plain,
    ( part_of(sk16,sk15)
    | part_of(sk15,sk16) ),
    inference('HYPERRESOLVE',[status(thm)],[end_point_defn_14,55,proposition_2_14_3_70,proposition_2_14_3_69,proposition_2_14_3_68,54]) ).

cnf(218,plain,
    ~ incident_c(ax0_sk8(sk15),sk16),
    inference('UR-RESOLVE',[status(thm)],[meet_defn_26,53,proposition_2_14_3_67,51]) ).

cnf(219,plain,
    ~ incident_c(ax0_sk8(sk16),sk15),
    inference('UR-RESOLVE',[status(thm)],[meet_defn_27,53,proposition_2_14_3_67,51]) ).

cnf(289,plain,
    ~ part_of(sk15,sk16),
    inference('UR-RESOLVE',[status(thm)],[part_of_defn_1,218,51]) ).

cnf(290,plain,
    part_of(sk16,sk15),
    inference('REWRITE',[status(thm)],[172,289]) ).

cnf(301,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[part_of_defn_1,290,51]),219]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : GEO094-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n023.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 : Fri Jun 17 22:52:04 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 2022-06-17T22:52:04
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-17T22:52:04
% 0.39/0.62  
% 0.39/0.62  
% 0.39/0.62  #||
% 0.39/0.62  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.62  % SZS output start Refutation
% See solution above
% 0.39/0.62  ||#
% 0.39/0.62  
% 0.39/0.62  ; Summary of computation:
% 0.39/0.62  ;      1403 formulas have been input or derived (from 77 formulas).
% 0.39/0.62  ;       301 (21%) were retained.  Of these,
% 0.39/0.62  ;           29 (10%) were simplified or subsumed later,
% 0.39/0.62  ;          272 (90%) are still being kept.
% 0.39/0.62  ; 
% 0.39/0.62  ; Run time in seconds excluding printing time:
% 0.39/0.62  ;     0.012   8%   Read assertion file          (1 call)
% 0.39/0.62  ;     0.002   1%   Assert                       (52 calls)
% 0.39/0.62  ;     0.020  12%   Process new row              (880 calls)
% 0.39/0.62  ;     0.052  32%   Resolution                   (152 calls)
% 0.39/0.62  ;     0.000   0%   Paramodulation               (76 calls)
% 0.39/0.62  ;     0.000   0%   Factoring                    (5 calls)
% 0.39/0.62  ;     0.012   8%   Condensing                   (294 calls)
% 0.39/0.62  ;     0.011   7%   Forward subsumption          (294 calls)
% 0.39/0.62  ;     0.003   2%   Backward subsumption         (179 calls)
% 0.39/0.62  ;     0.004   2%   Clause clause subsumption    (664 calls)
% 0.39/0.62  ;     0.013   8%   Forward simplification       (880 calls)
% 0.39/0.62  ;     0.004   2%   Backward simplification      (301 calls)
% 0.39/0.62  ;     0.004   2%   Ordering                     (1,183 calls)
% 0.39/0.62  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.39/0.62  ;     0.000   0%   Purity testing               (1 call)
% 0.39/0.62  ;     0.023  14%   Other
% 0.39/0.62  ;     0.160        Total
% 0.39/0.62  ;     0.162        Real time
% 0.39/0.62  ; 
% 0.39/0.62  ; Term-hash-array has 503 terms in all.
% 0.39/0.62  ; Feature-vector-row-index has 150 entries (151 at peak, 179 added, 29 deleted).
% 0.39/0.62  ; Feature-vector-row-index has 460 nodes (465 at peak, 579 added, 119 deleted).
% 0.39/0.62  ;  Retrieved 802 possibly forward subsuming rows in 294 calls.
% 0.39/0.62  ;  Retrieved 92 possibly backward subsumed rows in 179 calls.
% 0.39/0.62  ; Path-index has 483 entries (483 at peak, 542 added, 59 deleted).
% 0.39/0.62  ; Path-index has 857 nodes (857 at peak, 906 added, 49 deleted).
% 0.39/0.62  ; Trie-index has 483 entries (483 at peak, 542 added, 59 deleted).
% 0.39/0.62  ; Trie-index has 1,041 nodes (1,041 at peak, 1,170 added, 129 deleted).
% 0.39/0.62  ; Retrieved 889 generalization terms in 2,511 calls.
% 0.39/0.62  ; Retrieved 156 instance terms in 121 calls.
% 0.39/0.62  ; Retrieved 45,807 unifiable terms in 5,413 calls.
% 0.39/0.62  ; 
% 0.39/0.62  ; The agenda of rows to process has 60 entries:
% 0.39/0.62  ;     3 with value 10              1 with value 17               8 with value 29
% 0.39/0.62  ;     1 with value 11              4 with value 18               5 with value 34
% 0.39/0.62  ;     1 with value 14              2 with value 21               1 with value 41
% 0.39/0.62  ;     6 with value 15             28 with value 22
% 0.39/0.62  ; The agenda of rows to give has 195 entries:
% 0.39/0.62  ;     4 with value (4 7)           4 with value (4 18)           6 with value (4 34)
% 0.39/0.62  ;     5 with value (4 8)           8 with value (4 19)           3 with value (4 36)
% 0.39/0.62  ;    14 with value (4 9)           3 with value (4 20)           2 with value (4 38)
% 0.39/0.62  ;    29 with value (4 10)          5 with value (4 21)           3 with value (4 39)
% 0.39/0.62  ;    10 with value (4 11)          1 with value (4 22)           7 with value (4 40)
% 0.39/0.62  ;     7 with value (4 12)          2 with value (4 23)           6 with value (4 43)
% 0.39/0.62  ;    19 with value (4 13)          5 with value (4 26)           6 with value (4 46)
% 0.39/0.62  ;     4 with value (4 14)          4 with value (4 27)           1 with value (4 54)
% 0.39/0.62  ;     8 with value (4 15)          4 with value (4 29)           2 with value (4 55)
% 0.39/0.62  ;     6 with value (4 16)          4 with value (4 31)           6 with value (4 56)
% 0.39/0.62  ;     1 with value (4 17)          6 with value (4 32)
% 0.39/0.62  Evaluation took:
% 0.39/0.62    0.163 seconds of real time
% 0.39/0.62    0.143411 seconds of user run time
% 0.39/0.62    0.019686 seconds of system run time
% 0.39/0.62    0 calls to %EVAL
% 0.39/0.62    0 page faults and
% 0.39/0.62    10,302,744 bytes consed.
% 0.39/0.62  :PROOF-FOUND
% 0.39/0.62  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T22:52:04
% 0.39/0.62  :PROOF-FOUND
% 0.39/0.62  * 
%------------------------------------------------------------------------------