TSTP Solution File: GEO170+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO170+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n032.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 06:14:25 EDT 2022

% Result   : Theorem 0.14s 0.42s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   15 (  10 unt;   2 nHn;  14 RR)
%            Number of literals    :   24 (   0 equ;  13 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(7,axiom,
    ( ~ distinct_points(X,Y)
    | ~ apart_point_and_line(X,line_connecting(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci1) ).

cnf(8,axiom,
    ( ~ distinct_points(X,Y)
    | ~ apart_point_and_line(Y,line_connecting(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci2) ).

cnf(11,axiom,
    ( ~ distinct_points(X,Y)
    | ~ distinct_lines(Z,U)
    | apart_point_and_line(X,Z)
    | apart_point_and_line(X,U)
    | apart_point_and_line(Y,Z)
    | apart_point_and_line(Y,U) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',cu1) ).

cnf(37,axiom,
    ( equal_lines(X,Y)
    | distinct_lines(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',ax2) ).

cnf(40,axiom,
    ( ~ incident_point_and_line(X,Y)
    | ~ apart_point_and_line(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',a4) ).

cnf(44,negated_conjecture,
    distinct_points('SKOLEMAAAP1','SKOLEMAAAP2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(45,negated_conjecture,
    incident_point_and_line('SKOLEMAAAP1','SKOLEMAAAP3'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(46,negated_conjecture,
    incident_point_and_line('SKOLEMAAAP2','SKOLEMAAAP3'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(47,negated_conjecture,
    ~ equal_lines('SKOLEMAAAP3',line_connecting('SKOLEMAAAP1','SKOLEMAAAP2')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(55,plain,
    distinct_lines('SKOLEMAAAP3',line_connecting('SKOLEMAAAP1','SKOLEMAAAP2')),
    inference('HYPERRESOLVE',[status(thm)],[47,37]) ).

cnf(58,plain,
    ~ apart_point_and_line('SKOLEMAAAP1','SKOLEMAAAP3'),
    inference('UR-RESOLVE',[status(thm)],[40,45]) ).

cnf(59,plain,
    ~ apart_point_and_line('SKOLEMAAAP2','SKOLEMAAAP3'),
    inference('UR-RESOLVE',[status(thm)],[40,46]) ).

cnf(63,plain,
    ~ apart_point_and_line('SKOLEMAAAP1',line_connecting('SKOLEMAAAP1','SKOLEMAAAP2')),
    inference('UR-RESOLVE',[status(thm)],[7,44]) ).

cnf(64,plain,
    ~ apart_point_and_line('SKOLEMAAAP2',line_connecting('SKOLEMAAAP1','SKOLEMAAAP2')),
    inference('UR-RESOLVE',[status(thm)],[8,44]) ).

cnf(96,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,55,44]),64,59,63,58]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem  : GEO170+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.10  % Command  : run-snark %s %d
% 0.11/0.29  % Computer : n032.cluster.edu
% 0.11/0.29  % Model    : x86_64 x86_64
% 0.11/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29  % Memory   : 8042.1875MB
% 0.11/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29  % CPULimit : 300
% 0.11/0.29  % WCLimit  : 600
% 0.11/0.29  % DateTime : Sat Jun 18 15:44:32 EDT 2022
% 0.11/0.29  % CPUTime  : 
% 0.14/0.38  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.38  * 
% 0.14/0.38  * 
% 0.14/0.39  #<PACKAGE "SNARK-USER">
% 0.14/0.39  * 
% 0.14/0.39  SNARK-TPTP-OPTIONS
% 0.14/0.39  * 
% 0.14/0.39  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.14/0.39   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.14/0.39   (USE-FACTORING :POS)
% 0.14/0.39   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.14/0.39   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.14/0.39   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.14/0.39   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.14/0.39   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.14/0.39   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.14/0.39   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.14/0.39   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.14/0.39   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.14/0.39   (DECLARE-TPTP-SYMBOLS2))
% 0.14/0.39  * 
% 0.14/0.39  "."
% 0.14/0.39  * 
% 0.14/0.39  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T15:44:32
% 0.14/0.39  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-18T15:44:32
% 0.14/0.42  
% 0.14/0.42  
% 0.14/0.42  #||
% 0.14/0.42  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.42  % SZS output start Refutation
% See solution above
% 0.14/0.42  ||#
% 0.14/0.42  
% 0.14/0.42  ; Summary of computation:
% 0.14/0.42  ;       169 formulas have been input or derived (from 61 formulas).
% 0.14/0.42  ;        96 (57%) were retained.  Of these,
% 0.14/0.42  ;            1 ( 1%) were simplified or subsumed later,
% 0.14/0.42  ;           95 (99%) are still being kept.
% 0.14/0.42  ; 
% 0.14/0.42  ; Run time in seconds excluding printing time:
% 0.14/0.42  ;     0.007  21%   Read assertion file          (1 call)
% 0.14/0.42  ;     0.001   3%   Assert                       (36 calls)
% 0.14/0.42  ;     0.001   3%   Process new row              (162 calls)
% 0.14/0.42  ;     0.005  15%   Resolution                   (120 calls)
% 0.14/0.42  ;     0.000   0%   Paramodulation               (60 calls)
% 0.14/0.42  ;     0.000   0%   Factoring                    (6 calls)
% 0.14/0.42  ;     0.000   0%   Condensing                   (46 calls)
% 0.14/0.42  ;     0.000   0%   Forward subsumption          (46 calls)
% 0.14/0.42  ;     0.000   0%   Backward subsumption         (42 calls)
% 0.14/0.42  ;     0.000   0%   Clause clause subsumption    (29 calls)
% 0.14/0.42  ;     0.001   3%   Forward simplification       (162 calls)
% 0.14/0.42  ;     0.002   6%   Backward simplification      (96 calls)
% 0.14/0.42  ;     0.000   0%   Ordering                     (18 calls)
% 0.14/0.42  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.14/0.42  ;     0.000   0%   Purity testing               (1 call)
% 0.14/0.42  ;     0.016  48%   Other
% 0.14/0.42  ;     0.033        Total
% 0.14/0.42  ;     0.036        Real time
% 0.14/0.42  ; 
% 0.14/0.42  ; Term-hash-array has 120 terms in all.
% 0.14/0.42  ; Feature-vector-row-index has 41 entries (41 at peak, 42 added, 1 deleted).
% 0.14/0.42  ; Feature-vector-row-index has 86 nodes (86 at peak, 86 added, 0 deleted).
% 0.14/0.42  ;  Retrieved 19 possibly forward subsuming rows in 46 calls.
% 0.14/0.42  ;  Retrieved 15 possibly backward subsumed rows in 42 calls.
% 0.14/0.42  ; Path-index has 123 entries (123 at peak, 123 added, 0 deleted).
% 0.14/0.42  ; Path-index has 307 nodes (307 at peak, 307 added, 0 deleted).
% 0.14/0.42  ; Trie-index has 123 entries (123 at peak, 123 added, 0 deleted).
% 0.14/0.42  ; Trie-index has 258 nodes (258 at peak, 258 added, 0 deleted).
% 0.14/0.42  ; Retrieved 205 generalization terms in 222 calls.
% 0.14/0.42  ; Retrieved 66 instance terms in 53 calls.
% 0.14/0.42  ; Retrieved 2,122 unifiable terms in 576 calls.
% 0.14/0.42  ; 
% 0.14/0.42  ; The agenda of rows to give has 34 entries:
% 0.14/0.42  ;     7 with value (4 8)           2 with value (4 11)           1 with value (4 14)
% 0.14/0.42  ;    13 with value (4 9)           5 with value (4 12)           1 with value (4 24)
% 0.14/0.42  ;     1 with value (4 10)          4 with value (4 13)
% 0.14/0.42  Evaluation took:
% 0.14/0.42    0.036 seconds of real time
% 0.14/0.42    0.031265 seconds of user run time
% 0.14/0.42    0.004257 seconds of system run time
% 0.14/0.42    0 calls to %EVAL
% 0.14/0.42    0 page faults and
% 0.14/0.42    3,234,056 bytes consed.
% 0.14/0.42  :PROOF-FOUND
% 0.14/0.43  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T15:44:32
% 0.14/0.43  :PROOF-FOUND
% 0.14/0.43  * 
%------------------------------------------------------------------------------