TSTP Solution File: GEO183+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO183+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n013.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 06:14:36 EDT 2022

% Result   : Theorem 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   12 (   8 unt;   2 nHn;  11 RR)
%            Number of literals    :   19 (   0 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ~ distinct_points(X,X),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart1) ).

cnf(7,axiom,
    ( ~ distinct_points(X,Y)
    | ~ apart_point_and_line(Z,line_connecting(X,Y))
    | distinct_points(Z,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',con1) ).

cnf(8,axiom,
    ( ~ distinct_points(X,Y)
    | ~ apart_point_and_line(Z,line_connecting(X,Y))
    | distinct_points(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',con1) ).

cnf(13,axiom,
    ( ~ apart_point_and_line(X,Y)
    | distinct_lines(Y,Z)
    | apart_point_and_line(X,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',ceq2) ).

cnf(15,negated_conjecture,
    distinct_points('SKOLEMAAAV1','SKOLEMAAAV2'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(17,negated_conjecture,
    ~ distinct_lines('SKOLEMAAAV3',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(18,negated_conjecture,
    ( apart_point_and_line('SKOLEMAAAV1','SKOLEMAAAV3')
    | apart_point_and_line('SKOLEMAAAV2','SKOLEMAAAV3') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(28,plain,
    ~ apart_point_and_line('SKOLEMAAAV1',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[7,15,1]) ).

cnf(29,plain,
    ~ apart_point_and_line('SKOLEMAAAV2',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[8,15,1]) ).

cnf(43,plain,
    ~ apart_point_and_line('SKOLEMAAAV1','SKOLEMAAAV3'),
    inference('UR-RESOLVE',[status(thm)],[13,28,17]) ).

cnf(44,plain,
    apart_point_and_line('SKOLEMAAAV2','SKOLEMAAAV3'),
    inference('REWRITE',[status(thm)],[18,43]) ).

cnf(49,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[13,44,17]),29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO183+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n013.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sat Jun 18 08:45:29 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T08:45:29
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-18T08:45:29
% 0.21/0.52  
% 0.21/0.52  
% 0.21/0.52  #||
% 0.21/0.52  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.52  % SZS output start Refutation
% See solution above
% 0.21/0.52  ||#
% 0.21/0.52  
% 0.21/0.52  ; Summary of computation:
% 0.21/0.52  ;        94 formulas have been input or derived (from 27 formulas).
% 0.21/0.52  ;        49 (52%) were retained.  Of these,
% 0.21/0.52  ;            5 (10%) were simplified or subsumed later,
% 0.21/0.52  ;           44 (90%) are still being kept.
% 0.21/0.52  ; 
% 0.21/0.52  ; Run time in seconds excluding printing time:
% 0.21/0.52  ;     0.004  11%   Read assertion file          (1 call)
% 0.21/0.52  ;     0.000   0%   Assert                       (13 calls)
% 0.21/0.52  ;     0.002   6%   Process new row              (83 calls)
% 0.21/0.52  ;     0.005  14%   Resolution                   (52 calls)
% 0.21/0.52  ;     0.001   3%   Paramodulation               (26 calls)
% 0.21/0.52  ;     0.000   0%   Factoring                    (1 call)
% 0.21/0.52  ;     0.000   0%   Condensing                   (27 calls)
% 0.21/0.52  ;     0.001   3%   Forward subsumption          (27 calls)
% 0.21/0.52  ;     0.001   3%   Backward subsumption         (21 calls)
% 0.21/0.52  ;     0.000   0%   Clause clause subsumption    (12 calls)
% 0.21/0.52  ;     0.000   0%   Forward simplification       (83 calls)
% 0.21/0.52  ;     0.000   0%   Backward simplification      (49 calls)
% 0.21/0.52  ;     0.000   0%   Ordering                     (18 calls)
% 0.21/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.21/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.52  ;     0.022  61%   Other
% 0.21/0.52  ;     0.036        Total
% 0.21/0.52  ;     0.038        Real time
% 0.21/0.52  ; 
% 0.21/0.52  ; Term-hash-array has 62 terms in all.
% 0.21/0.52  ; Feature-vector-row-index has 16 entries (19 at peak, 21 added, 5 deleted).
% 0.21/0.52  ; Feature-vector-row-index has 33 nodes (58 at peak, 62 added, 29 deleted).
% 0.21/0.52  ;  Retrieved 9 possibly forward subsuming rows in 27 calls.
% 0.21/0.52  ;  Retrieved 3 possibly backward subsumed rows in 21 calls.
% 0.21/0.52  ; Path-index has 66 entries (66 at peak, 71 added, 5 deleted).
% 0.21/0.52  ; Path-index has 104 nodes (104 at peak, 108 added, 4 deleted).
% 0.21/0.52  ; Trie-index has 66 entries (66 at peak, 71 added, 5 deleted).
% 0.21/0.52  ; Trie-index has 105 nodes (105 at peak, 113 added, 8 deleted).
% 0.21/0.52  ; Retrieved 84 generalization terms in 109 calls.
% 0.21/0.52  ; Retrieved 27 instance terms in 27 calls.
% 0.21/0.52  ; Retrieved 870 unifiable terms in 233 calls.
% 0.21/0.52  ; 
% 0.21/0.52  ; The agenda of rows to process has 4 entries:
% 0.21/0.52  ;     4 with value 9
% 0.21/0.52  ; The agenda of rows to give has 18 entries:
% 0.21/0.52  ;     1 with value (4 6)          12 with value (4 9)            1 with value (4 10)
% 0.21/0.52  ;     4 with value (4 8)
% 0.21/0.52  Evaluation took:
% 0.21/0.52    0.038 seconds of real time
% 0.21/0.52    0.031744 seconds of user run time
% 0.21/0.52    0.006615 seconds of system run time
% 0.21/0.52    0 calls to %EVAL
% 0.21/0.52    0 page faults and
% 0.21/0.52    2,378,720 bytes consed.
% 0.21/0.52  :PROOF-FOUND
% 0.21/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T08:45:29
% 0.21/0.52  :PROOF-FOUND
% 0.21/0.52  * 
%------------------------------------------------------------------------------