TSTP Solution File: GEO186+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO186+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n011.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 06:14:39 EDT 2022

% Result   : Theorem 0.37s 0.53s
% Output   : Refutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   13 (   9 unt;   2 nHn;  12 RR)
%            Number of literals    :   22 (   0 equ;  12 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 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(3,axiom,
    ~ convergent_lines(X,X),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart3) ).

cnf(9,axiom,
    ( ~ convergent_lines(X,Y)
    | ~ apart_point_and_line(intersection_point(X,Y),X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci3) ).

cnf(10,axiom,
    ( ~ convergent_lines(X,Y)
    | ~ apart_point_and_line(intersection_point(X,Y),Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci4) ).

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/sandbox/benchmark/Axioms/GEO006+0.ax',cu1) ).

cnf(14,axiom,
    ( ~ convergent_lines(X,Y)
    | distinct_lines(Y,Z)
    | convergent_lines(X,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq3) ).

cnf(16,negated_conjecture,
    convergent_lines('SKOLEMAAAV3','SKOLEMAAAV4'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

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

cnf(18,negated_conjecture,
    ~ apart_point_and_line('SKOLEMAAAV1','SKOLEMAAAV4'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(19,negated_conjecture,
    distinct_points('SKOLEMAAAV1',intersection_point('SKOLEMAAAV3','SKOLEMAAAV4')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(24,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV3'),
    inference('UR-RESOLVE',[status(thm)],[9,16]) ).

cnf(25,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV4'),
    inference('UR-RESOLVE',[status(thm)],[10,16]) ).

cnf(32,plain,
    distinct_lines('SKOLEMAAAV4','SKOLEMAAAV3'),
    inference('UR-RESOLVE',[status(thm)],[14,16,3]) ).

cnf(42,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,32,19]),24,25,17,18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO186+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Fri Jun 17 16:54:07 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.48  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49  * 
% 0.21/0.49  * 
% 0.21/0.49  #<PACKAGE "SNARK-USER">
% 0.21/0.49  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50   (USE-FACTORING :POS)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50  * 
% 0.21/0.50  "."
% 0.21/0.50  * 
% 0.21/0.50  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T16:54:07
% 0.21/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-17T16:54:07
% 0.37/0.53  
% 0.37/0.53  
% 0.37/0.53  #||
% 0.37/0.53  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.53  % SZS output start Refutation
% See solution above
% 0.37/0.53  ||#
% 0.37/0.53  
% 0.37/0.53  ; Summary of computation:
% 0.37/0.53  ;        65 formulas have been input or derived (from 23 formulas).
% 0.37/0.53  ;        42 (65%) were retained.  Of these,
% 0.37/0.53  ;           42 (100%) are still being kept.
% 0.37/0.53  ; 
% 0.37/0.53  ; Run time in seconds excluding printing time:
% 0.37/0.53  ;     0.004  11%   Read assertion file          (1 call)
% 0.37/0.53  ;     0.001   3%   Assert                       (15 calls)
% 0.37/0.53  ;     0.002   6%   Process new row              (63 calls)
% 0.37/0.53  ;     0.003   9%   Resolution                   (44 calls)
% 0.37/0.53  ;     0.000   0%   Paramodulation               (22 calls)
% 0.37/0.53  ;     0.001   3%   Condensing                   (20 calls)
% 0.37/0.53  ;     0.000   0%   Forward subsumption          (20 calls)
% 0.37/0.53  ;     0.000   0%   Backward subsumption         (18 calls)
% 0.37/0.53  ;     0.000   0%   Clause clause subsumption    (8 calls)
% 0.37/0.53  ;     0.001   3%   Forward simplification       (63 calls)
% 0.37/0.53  ;     0.000   0%   Backward simplification      (42 calls)
% 0.37/0.53  ;     0.000   0%   Ordering                     (7 calls)
% 0.37/0.53  ;     0.001   3%   Sortal reasoning             (32 calls)
% 0.37/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.37/0.53  ;     0.022  63%   Other
% 0.37/0.53  ;     0.035        Total
% 0.37/0.53  ;     0.037        Real time
% 0.37/0.53  ; 
% 0.37/0.53  ; Term-hash-array has 59 terms in all.
% 0.37/0.53  ; Feature-vector-row-index has 18 entries (18 at peak, 18 added, 0 deleted).
% 0.37/0.53  ; Feature-vector-row-index has 42 nodes (42 at peak, 42 added, 0 deleted).
% 0.37/0.53  ;  Retrieved 5 possibly forward subsuming rows in 20 calls.
% 0.37/0.53  ;  Retrieved 3 possibly backward subsumed rows in 18 calls.
% 0.37/0.53  ; Path-index has 63 entries (63 at peak, 63 added, 0 deleted).
% 0.37/0.53  ; Path-index has 97 nodes (97 at peak, 97 added, 0 deleted).
% 0.37/0.53  ; Trie-index has 63 entries (63 at peak, 63 added, 0 deleted).
% 0.37/0.53  ; Trie-index has 99 nodes (99 at peak, 99 added, 0 deleted).
% 0.37/0.53  ; Retrieved 69 generalization terms in 82 calls.
% 0.37/0.53  ; Retrieved 23 instance terms in 23 calls.
% 0.37/0.53  ; Retrieved 577 unifiable terms in 181 calls.
% 0.37/0.53  ; 
% 0.37/0.53  ; The agenda of rows to give has 19 entries:
% 0.37/0.53  ;     1 with value (4 6)           3 with value (4 10)           1 with value (4 12)
% 0.37/0.53  ;     5 with value (4 8)           1 with value (4 11)           1 with value (4 13)
% 0.37/0.53  ;     7 with value (4 9)
% 0.37/0.53  Evaluation took:
% 0.37/0.53    0.038 seconds of real time
% 0.37/0.53    0.02907 seconds of user run time
% 0.37/0.53    0.008163 seconds of system run time
% 0.37/0.53    0 calls to %EVAL
% 0.37/0.53    0 page faults and
% 0.37/0.53    2,341,912 bytes consed.
% 0.37/0.53  :PROOF-FOUND
% 0.37/0.53  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T16:54:07
% 0.37/0.53  :PROOF-FOUND
% 0.37/0.53  * 
%------------------------------------------------------------------------------