TSTP Solution File: GEO227+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO227+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n009.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 06:15:13 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   10 (   6 unt;   1 nHn;   9 RR)
%            Number of literals    :   14 (   0 equ;   7 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( unequally_directed_opposite_lines(X,Y)
    | ~ unequally_directed_lines(X,reverse_line(Y)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a1_defns) ).

cnf(7,axiom,
    ( ~ equally_directed_lines(X,Y)
    | ~ unequally_directed_lines(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a4_defns) ).

cnf(9,axiom,
    ( ~ equally_directed_opposite_lines(X,Y)
    | ~ unequally_directed_opposite_lines(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a5_defns) ).

cnf(42,axiom,
    ( unequally_directed_lines(X,Y)
    | unequally_directed_lines(X,reverse_line(Y)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax8_basics) ).

cnf(60,negated_conjecture,
    equally_directed_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(61,negated_conjecture,
    equally_directed_opposite_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(67,plain,
    ~ unequally_directed_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
    inference('UR-RESOLVE',[status(thm)],[7,60]) ).

cnf(70,plain,
    ~ unequally_directed_opposite_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
    inference('UR-RESOLVE',[status(thm)],[9,61]) ).

cnf(85,plain,
    unequally_directed_lines('SKOLEMAAAV1',reverse_line('SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[42,67]) ).

cnf(90,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[2,70]),85]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO227+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 14:34:38 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T14:34:38
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-06-18T14:34:38
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  #||
% 0.19/0.52  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52  % SZS output start Refutation
% See solution above
% 0.19/0.52  ||#
% 0.19/0.52  
% 0.19/0.52  ; Summary of computation:
% 0.19/0.52  ;       125 formulas have been input or derived (from 47 formulas).
% 0.19/0.52  ;        90 (72%) were retained.  Of these,
% 0.19/0.52  ;           23 (26%) were simplified or subsumed later,
% 0.19/0.52  ;           67 (74%) are still being kept.
% 0.19/0.52  ; 
% 0.19/0.52  ; Run time in seconds:
% 0.19/0.52  ;     0.009  19%   Read assertion file          (1 call)
% 0.19/0.52  ;     0.002   4%   Assert                       (37 calls)
% 0.19/0.52  ;     0.011  23%   Process new row              (121 calls)
% 0.19/0.52  ;     0.001   2%   Resolution                   (92 calls)
% 0.19/0.52  ;     0.000   0%   Paramodulation               (46 calls)
% 0.19/0.52  ;     0.000   0%   Factoring                    (3 calls)
% 0.19/0.52  ;     0.000   0%   Condensing                   (64 calls)
% 0.19/0.52  ;     0.000   0%   Forward subsumption          (64 calls)
% 0.19/0.52  ;     0.001   2%   Backward subsumption         (60 calls)
% 0.19/0.52  ;     0.000   0%   Clause clause subsumption    (45 calls)
% 0.19/0.52  ;     0.002   4%   Forward simplification       (121 calls)
% 0.19/0.52  ;     0.001   2%   Backward simplification      (89 calls)
% 0.19/0.52  ;     0.000   0%   Ordering                     (25 calls)
% 0.19/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.52  ;     0.001   2%   Purity testing               (1 call)
% 0.19/0.52  ;     0.020  42%   Other
% 0.19/0.52  ;     0.048        Total
% 0.19/0.52  ;     0.049        Real time
% 0.19/0.52  ; 
% 0.19/0.52  ; Term-hash-array has 90 terms in all.
% 0.19/0.52  ; Feature-vector-row-index has 39 entries (40 at peak, 60 added, 21 deleted).
% 0.19/0.52  ; Feature-vector-row-index has 73 nodes (73 at peak, 115 added, 42 deleted).
% 0.19/0.52  ;  Retrieved 29 possibly forward subsuming rows in 64 calls.
% 0.19/0.52  ;  Retrieved 22 possibly backward subsumed rows in 60 calls.
% 0.19/0.52  ; Path-index has 76 entries (76 at peak, 95 added, 19 deleted).
% 0.19/0.52  ; Path-index has 204 nodes (204 at peak, 222 added, 18 deleted).
% 0.19/0.52  ; Trie-index has 76 entries (76 at peak, 95 added, 19 deleted).
% 0.19/0.52  ; Trie-index has 141 nodes (141 at peak, 169 added, 28 deleted).
% 0.19/0.52  ; Retrieved 94 generalization terms in 101 calls.
% 0.19/0.52  ; Retrieved 54 instance terms in 28 calls.
% 0.19/0.52  ; Retrieved 473 unifiable terms in 190 calls.
% 0.19/0.52  ; 
% 0.19/0.52  ; The agenda of rows to give has 20 entries:
% 0.19/0.52  ;     4 with value (4 6)           1 with value (4 9)            3 with value (4 13)
% 0.19/0.52  ;     2 with value (4 7)           1 with value (4 10)           1 with value (4 15)
% 0.19/0.52  ;     4 with value (4 8)           3 with value (4 11)           1 with value (4 17)
% 0.19/0.52  Evaluation took:
% 0.19/0.52    0.049 seconds of real time
% 0.19/0.52    0.040496 seconds of user run time
% 0.19/0.52    0.009301 seconds of system run time
% 0.19/0.52    0 calls to %EVAL
% 0.19/0.52    0 page faults and
% 0.19/0.52    2,750,752 bytes consed.
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T14:34:38
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  * 
%------------------------------------------------------------------------------