TSTP Solution File: GEO258+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO258+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n005.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 06:15:30 EDT 2022

% Result   : Theorem 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   17 (   7 unt;   8 nHn;  17 RR)
%            Number of literals    :   33 (   0 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   24 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(20,axiom,
    ( ~ between_on_line(X,Y,Z,U)
    | before_on_line(X,Y,Z)
    | before_on_line(X,U,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',bet_def) ).

cnf(21,axiom,
    ( ~ between_on_line(X,Y,Z,U)
    | before_on_line(X,Y,Z)
    | before_on_line(X,Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',bet_def) ).

cnf(22,axiom,
    ( ~ between_on_line(X,Y,Z,U)
    | before_on_line(X,Z,U)
    | before_on_line(X,U,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',bet_def) ).

cnf(23,axiom,
    ( ~ between_on_line(X,Y,Z,U)
    | before_on_line(X,Z,U)
    | before_on_line(X,Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',bet_def) ).

cnf(24,axiom,
    ( between_on_line(X,Y,Z,U)
    | ~ before_on_line(X,Y,Z)
    | ~ before_on_line(X,Z,U) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',bet_def) ).

cnf(25,axiom,
    ( between_on_line(X,Y,Z,U)
    | ~ before_on_line(X,U,Z)
    | ~ before_on_line(X,Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',bet_def) ).

cnf(52,negated_conjecture,
    between_on_line('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3','SKOLEMAAAV4'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(53,negated_conjecture,
    ~ between_on_line('SKOLEMAAAV1','SKOLEMAAAV4','SKOLEMAAAV3','SKOLEMAAAV2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(71,plain,
    ( before_on_line('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3')
    | before_on_line('SKOLEMAAAV1','SKOLEMAAAV4','SKOLEMAAAV3') ),
    inference('HYPERRESOLVE',[status(thm)],[20,52]) ).

cnf(72,plain,
    ( before_on_line('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3')
    | before_on_line('SKOLEMAAAV1','SKOLEMAAAV3','SKOLEMAAAV2') ),
    inference('HYPERRESOLVE',[status(thm)],[21,52]) ).

cnf(73,plain,
    ( before_on_line('SKOLEMAAAV1','SKOLEMAAAV3','SKOLEMAAAV4')
    | before_on_line('SKOLEMAAAV1','SKOLEMAAAV4','SKOLEMAAAV3') ),
    inference('HYPERRESOLVE',[status(thm)],[22,52]) ).

cnf(74,plain,
    ( before_on_line('SKOLEMAAAV1','SKOLEMAAAV3','SKOLEMAAAV4')
    | before_on_line('SKOLEMAAAV1','SKOLEMAAAV3','SKOLEMAAAV2') ),
    inference('HYPERRESOLVE',[status(thm)],[23,52]) ).

cnf(93,plain,
    before_on_line('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3'),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[24,72,71]),53]) ).

cnf(95,plain,
    ~ before_on_line('SKOLEMAAAV1','SKOLEMAAAV3','SKOLEMAAAV4'),
    inference('UR-RESOLVE',[status(thm)],[25,93,53]) ).

cnf(96,plain,
    before_on_line('SKOLEMAAAV1','SKOLEMAAAV4','SKOLEMAAAV3'),
    inference('REWRITE',[status(thm)],[73,95]) ).

cnf(97,plain,
    before_on_line('SKOLEMAAAV1','SKOLEMAAAV3','SKOLEMAAAV2'),
    inference('REWRITE',[status(thm)],[74,95]) ).

cnf(100,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[24,96,53]),97]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GEO258+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.06/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n005.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 06:56:23 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T06:56:23
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-18T06:56:23
% 0.18/0.51  
% 0.18/0.51  
% 0.18/0.51  #||
% 0.18/0.51  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51  % SZS output start Refutation
% See solution above
% 0.18/0.51  ||#
% 0.18/0.51  
% 0.18/0.51  ; Summary of computation:
% 0.18/0.51  ;       179 formulas have been input or derived (from 52 formulas).
% 0.18/0.51  ;       100 (56%) were retained.  Of these,
% 0.18/0.51  ;           32 (32%) were simplified or subsumed later,
% 0.18/0.51  ;           68 (68%) are still being kept.
% 0.18/0.51  ; 
% 0.18/0.51  ; Run time in seconds excluding printing time:
% 0.18/0.51  ;     0.009  18%   Read assertion file          (1 call)
% 0.18/0.51  ;     0.002   4%   Assert                       (32 calls)
% 0.18/0.51  ;     0.008  16%   Process new row              (158 calls)
% 0.18/0.51  ;     0.000   0%   Resolution                   (102 calls)
% 0.18/0.51  ;     0.000   0%   Paramodulation               (51 calls)
% 0.18/0.51  ;     0.000   0%   Factoring                    (2 calls)
% 0.18/0.51  ;     0.001   2%   Condensing                   (52 calls)
% 0.18/0.51  ;     0.000   0%   Forward subsumption          (52 calls)
% 0.18/0.51  ;     0.003   6%   Backward subsumption         (50 calls)
% 0.18/0.51  ;     0.001   2%   Clause clause subsumption    (55 calls)
% 0.18/0.51  ;     0.003   6%   Forward simplification       (155 calls)
% 0.18/0.51  ;     0.002   4%   Backward simplification      (99 calls)
% 0.18/0.51  ;     0.000   0%   Ordering                     (29 calls)
% 0.18/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.51  ;     0.021  42%   Other
% 0.18/0.51  ;     0.050        Total
% 0.18/0.51  ;     0.053        Real time
% 0.18/0.51  ; 
% 0.18/0.51  ; Term-hash-array has 110 terms in all.
% 0.18/0.51  ; Feature-vector-row-index has 20 entries (32 at peak, 50 added, 30 deleted).
% 0.18/0.51  ; Feature-vector-row-index has 37 nodes (64 at peak, 107 added, 70 deleted).
% 0.18/0.51  ;  Retrieved 30 possibly forward subsuming rows in 52 calls.
% 0.18/0.51  ;  Retrieved 27 possibly backward subsumed rows in 50 calls.
% 0.18/0.51  ; Path-index has 97 entries (97 at peak, 120 added, 23 deleted).
% 0.18/0.51  ; Path-index has 253 nodes (253 at peak, 276 added, 23 deleted).
% 0.18/0.51  ; Trie-index has 97 entries (97 at peak, 120 added, 23 deleted).
% 0.18/0.51  ; Trie-index has 210 nodes (210 at peak, 244 added, 34 deleted).
% 0.18/0.51  ; Retrieved 218 generalization terms in 178 calls.
% 0.18/0.51  ; Retrieved 73 instance terms in 48 calls.
% 0.18/0.51  ; Retrieved 1,027 unifiable terms in 331 calls.
% 0.18/0.51  ; 
% 0.18/0.51  ; The agenda of rows to process has 3 entries:
% 0.18/0.51  ;     2 with value 8               1 with value 9
% 0.18/0.51  ; The agenda of rows to give has 18 entries:
% 0.18/0.51  ;     2 with value (4 6)           1 with value (4 10)           2 with value (4 13)
% 0.18/0.51  ;     1 with value (4 7)           1 with value (4 11)           2 with value (4 14)
% 0.18/0.51  ;     1 with value (4 8)           4 with value (4 12)           4 with value (4 15)
% 0.18/0.51  Evaluation took:
% 0.18/0.51    0.053 seconds of real time
% 0.18/0.51    0.044058 seconds of user run time
% 0.18/0.51    0.008947 seconds of system run time
% 0.18/0.51    0 calls to %EVAL
% 0.18/0.51    0 page faults and
% 0.18/0.51    3,652,312 bytes consed.
% 0.18/0.51  :PROOF-FOUND
% 0.18/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T06:56:24
% 0.18/0.51  :PROOF-FOUND
% 0.18/0.51  * 
%------------------------------------------------------------------------------