TSTP Solution File: GEO212+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO212+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n018.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 06:15:01 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   12 (   9 unt;   3 nHn;   9 RR)
%            Number of literals    :   18 (   0 equ;   8 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ~ convergent_lines(X,X),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart3) ).

cnf(6,axiom,
    ( ~ convergent_lines(X,Y)
    | convergent_lines(X,Z)
    | convergent_lines(Y,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart6) ).

cnf(18,axiom,
    ( convergent_lines(X,Y)
    | unorthogonal_lines(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',occu1) ).

cnf(19,axiom,
    ( ~ convergent_lines(X,Y)
    | ~ unorthogonal_lines(X,Y)
    | convergent_lines(X,Z)
    | unorthogonal_lines(Y,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',oac1) ).

cnf(25,negated_conjecture,
    unorthogonal_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(26,negated_conjecture,
    ~ convergent_lines('SKOLEMAAAV1','SKOLEMAAAV3'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(27,negated_conjecture,
    ~ unorthogonal_lines('SKOLEMAAAV2','SKOLEMAAAV3'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(28,plain,
    convergent_lines('SKOLEMAAAV2','SKOLEMAAAV3'),
    inference('HYPERRESOLVE',[status(thm)],[27,18]) ).

cnf(33,plain,
    ~ convergent_lines('SKOLEMAAAV3','SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[6,3,26]) ).

cnf(40,plain,
    ~ convergent_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
    inference('UR-RESOLVE',[status(thm)],[19,25,26,27]) ).

cnf(47,plain,
    convergent_lines('SKOLEMAAAV2','SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[6,33,28]) ).

cnf(50,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[6,40,3]),47]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : GEO212+2 : TPTP v8.1.0. Released v3.3.0.
% 0.13/0.12  % Command  : run-snark %s %d
% 0.14/0.33  % Computer : n018.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 600
% 0.14/0.33  % DateTime : Sat Jun 18 01:48:47 EDT 2022
% 0.14/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-18T01:48:47
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-18T01:48:47
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  #||
% 0.19/0.50  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50  % SZS output start Refutation
% See solution above
% 0.19/0.50  ||#
% 0.19/0.50  
% 0.19/0.50  ; Summary of computation:
% 0.19/0.50  ;        85 formulas have been input or derived (from 33 formulas).
% 0.19/0.50  ;        50 (59%) were retained.  Of these,
% 0.19/0.50  ;           50 (100%) are still being kept.
% 0.19/0.50  ; 
% 0.19/0.50  ; Run time in seconds excluding printing time:
% 0.19/0.50  ;     0.007  19%   Read assertion file          (1 call)
% 0.19/0.50  ;     0.001   3%   Assert                       (21 calls)
% 0.19/0.50  ;     0.004  11%   Process new row              (82 calls)
% 0.19/0.50  ;     0.000   0%   Resolution                   (64 calls)
% 0.19/0.50  ;     0.000   0%   Paramodulation               (32 calls)
% 0.19/0.50  ;     0.000   0%   Factoring                    (1 call)
% 0.19/0.50  ;     0.000   0%   Condensing                   (19 calls)
% 0.19/0.50  ;     0.000   0%   Forward subsumption          (19 calls)
% 0.19/0.50  ;     0.000   0%   Backward subsumption         (18 calls)
% 0.19/0.50  ;     0.000   0%   Clause clause subsumption    (9 calls)
% 0.19/0.50  ;     0.003   8%   Forward simplification       (82 calls)
% 0.19/0.50  ;     0.000   0%   Backward simplification      (50 calls)
% 0.19/0.50  ;     0.000   0%   Ordering                     (4 calls)
% 0.19/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.50  ;     0.022  59%   Other
% 0.19/0.50  ;     0.037        Total
% 0.19/0.50  ;     0.039        Real time
% 0.19/0.50  ; 
% 0.19/0.50  ; Term-hash-array has 71 terms in all.
% 0.19/0.50  ; Feature-vector-row-index has 18 entries (18 at peak, 18 added, 0 deleted).
% 0.19/0.50  ; Feature-vector-row-index has 38 nodes (38 at peak, 38 added, 0 deleted).
% 0.19/0.50  ;  Retrieved 6 possibly forward subsuming rows in 19 calls.
% 0.19/0.50  ;  Retrieved 3 possibly backward subsumed rows in 18 calls.
% 0.19/0.50  ; Path-index has 74 entries (74 at peak, 74 added, 0 deleted).
% 0.19/0.50  ; Path-index has 157 nodes (157 at peak, 157 added, 0 deleted).
% 0.19/0.50  ; Trie-index has 74 entries (74 at peak, 74 added, 0 deleted).
% 0.19/0.50  ; Trie-index has 131 nodes (131 at peak, 131 added, 0 deleted).
% 0.19/0.50  ; Retrieved 100 generalization terms in 107 calls.
% 0.19/0.50  ; Retrieved 41 instance terms in 31 calls.
% 0.19/0.50  ; Retrieved 806 unifiable terms in 226 calls.
% 0.19/0.50  ; 
% 0.19/0.50  ; The agenda of rows to process has 2 entries:
% 0.19/0.50  ;     2 with value 9
% 0.19/0.50  ; The agenda of rows to give has 17 entries:
% 0.19/0.50  ;     4 with value (4 6)           4 with value (4 9)            2 with value (4 13)
% 0.19/0.50  ;     5 with value (4 8)           2 with value (4 10)
% 0.19/0.50  Evaluation took:
% 0.19/0.50    0.039 seconds of real time
% 0.19/0.50    0.031204 seconds of user run time
% 0.19/0.50    0.008041 seconds of system run time
% 0.19/0.50    0 calls to %EVAL
% 0.19/0.50    0 page faults and
% 0.19/0.50    2,374,112 bytes consed.
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T01:48:48
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  * 
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