TSTP Solution File: GEO206+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO206+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n014.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 06:14:55 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of clauses     :    9 (   7 unt;   2 nHn;   7 RR)
%            Number of literals    :   14 (   0 equ;   7 neg)
%            Maximal clause size   :    4 (   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   :   11 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(6,axiom,
    ( ~ convergent_lines(X,Y)
    | convergent_lines(X,Z)
    | convergent_lines(Y,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ax6) ).

cnf(15,axiom,
    ~ convergent_lines(parallel_through_point(X,Y),X),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax',cp1) ).

cnf(16,axiom,
    ~ apart_point_and_line(X,parallel_through_point(Y,X)),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax',cp2) ).

cnf(17,axiom,
    ( ~ distinct_lines(X,Y)
    | apart_point_and_line(Z,X)
    | apart_point_and_line(Z,Y)
    | convergent_lines(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax',cup1) ).

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

cnf(19,negated_conjecture,
    ~ convergent_lines('SKOLEMAAAV2','SKOLEMAAAV3'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(20,negated_conjecture,
    distinct_lines('SKOLEMAAAV2',parallel_through_point('SKOLEMAAAV3','SKOLEMAAAV1')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(24,plain,
    ~ convergent_lines('SKOLEMAAAV2',parallel_through_point('SKOLEMAAAV3',X)),
    inference('UR-RESOLVE',[status(thm)],[6,19,15]) ).

cnf(29,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[17,20,18,16]),24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO206+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n014.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
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sat Jun 18 02:10:49 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T02:10:49
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-18T02:10:49
% 0.20/0.51  
% 0.20/0.51  
% 0.20/0.51  #||
% 0.20/0.51  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51  % SZS output start Refutation
% See solution above
% 0.20/0.51  ||#
% 0.20/0.51  
% 0.20/0.51  ; Summary of computation:
% 0.20/0.51  ;        47 formulas have been input or derived (from 20 formulas).
% 0.20/0.51  ;        29 (62%) were retained.  Of these,
% 0.20/0.51  ;           29 (100%) are still being kept.
% 0.20/0.51  ; 
% 0.20/0.51  ; Run time in seconds excluding printing time:
% 0.20/0.51  ;     0.005  16%   Read assertion file          (1 call)
% 0.20/0.51  ;     0.001   3%   Assert                       (18 calls)
% 0.20/0.51  ;     0.002   6%   Process new row              (44 calls)
% 0.20/0.51  ;     0.001   3%   Resolution                   (38 calls)
% 0.20/0.51  ;     0.000   0%   Paramodulation               (19 calls)
% 0.20/0.51  ;     0.000   0%   Condensing                   (13 calls)
% 0.20/0.51  ;     0.000   0%   Forward subsumption          (13 calls)
% 0.20/0.51  ;     0.000   0%   Backward subsumption         (13 calls)
% 0.20/0.51  ;     0.000   0%   Clause clause subsumption    (4 calls)
% 0.20/0.51  ;     0.000   0%   Forward simplification       (44 calls)
% 0.20/0.51  ;     0.002   6%   Backward simplification      (29 calls)
% 0.20/0.51  ;     0.000   0%   Ordering                     (2 calls)
% 0.20/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.51  ;     0.021  66%   Other
% 0.20/0.51  ;     0.032        Total
% 0.20/0.51  ;     0.034        Real time
% 0.20/0.51  ; 
% 0.20/0.51  ; Term-hash-array has 46 terms in all.
% 0.20/0.51  ; Feature-vector-row-index has 13 entries (13 at peak, 13 added, 0 deleted).
% 0.20/0.51  ; Feature-vector-row-index has 32 nodes (32 at peak, 32 added, 0 deleted).
% 0.20/0.51  ;  Retrieved 2 possibly forward subsuming rows in 13 calls.
% 0.20/0.51  ;  Retrieved 2 possibly backward subsumed rows in 13 calls.
% 0.20/0.51  ; Path-index has 49 entries (49 at peak, 49 added, 0 deleted).
% 0.20/0.51  ; Path-index has 88 nodes (88 at peak, 88 added, 0 deleted).
% 0.20/0.51  ; Trie-index has 49 entries (49 at peak, 49 added, 0 deleted).
% 0.20/0.51  ; Trie-index has 75 nodes (75 at peak, 75 added, 0 deleted).
% 0.20/0.51  ; Retrieved 53 generalization terms in 53 calls.
% 0.20/0.51  ; Retrieved 16 instance terms in 15 calls.
% 0.20/0.51  ; Retrieved 311 unifiable terms in 94 calls.
% 0.20/0.51  ; 
% 0.20/0.51  ; The agenda of rows to process has 3 entries:
% 0.20/0.51  ;     1 with value 10              1 with value 13               1 with value 19
% 0.20/0.51  ; The agenda of input rows to give has 1 entry:
% 0.20/0.51  ;     1 with value 24
% 0.20/0.51  ; The agenda of rows to give has 8 entries:
% 0.20/0.51  ;     1 with value (4 5)           1 with value (4 10)           1 with value (4 12)
% 0.20/0.51  ;     5 with value (4 8)
% 0.20/0.51  Evaluation took:
% 0.20/0.51    0.035 seconds of real time
% 0.20/0.51    0.032507 seconds of user run time
% 0.20/0.51    0.00191 seconds of system run time
% 0.20/0.51    0 calls to %EVAL
% 0.20/0.51    0 page faults and
% 0.20/0.51    2,006,088 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T02:10:49
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  * 
%------------------------------------------------------------------------------