TSTP Solution File: GEO262+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO262+3 : TPTP v8.1.0. Released v4.0.0.
% 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 06:15:33 EDT 2022

% Result   : Theorem 0.42s 0.58s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   6 unt;   1 nHn;  11 RR)
%            Number of literals    :   18 (   0 equ;   9 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   12 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ unequally_directed_opposite_lines(X,Y)
    | unequally_directed_lines(X,reverse_line(Y)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a1_defns) ).

cnf(14,axiom,
    ( ~ convergent_lines(X,Y)
    | unequally_directed_lines(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a7_defns) ).

cnf(15,axiom,
    ( ~ convergent_lines(X,Y)
    | unequally_directed_opposite_lines(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a7_defns) ).

cnf(43,axiom,
    ( ~ unequally_directed_lines(X,Y)
    | ~ unequally_directed_lines(X,reverse_line(Y))
    | left_convergent_lines(X,Y)
    | left_convergent_lines(X,reverse_line(Y)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax9_basics) ).

cnf(45,axiom,
    ~ left_convergent_lines(X,Y),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax11_basics) ).

cnf(63,negated_conjecture,
    convergent_lines('SKOLEMAAAW1','SKOLEMAAAW3'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(68,plain,
    ( ~ unequally_directed_lines(X,Y)
    | ~ unequally_directed_lines(X,reverse_line(Y)) ),
    inference('REWRITE',[status(thm)],[43,45]) ).

cnf(74,plain,
    unequally_directed_lines('SKOLEMAAAW1','SKOLEMAAAW3'),
    inference('HYPERRESOLVE',[status(thm)],[14,63]) ).

cnf(77,plain,
    unequally_directed_opposite_lines('SKOLEMAAAW1','SKOLEMAAAW3'),
    inference('HYPERRESOLVE',[status(thm)],[15,63]) ).

cnf(103,plain,
    ~ unequally_directed_lines('SKOLEMAAAW1',reverse_line('SKOLEMAAAW3')),
    inference('UR-RESOLVE',[status(thm)],[68,74]) ).

cnf(116,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1,77]),103]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : GEO262+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.15  % Command  : run-snark %s %d
% 0.16/0.37  % Computer : n013.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 600
% 0.16/0.37  % DateTime : Sat Jun 18 04:22:14 EDT 2022
% 0.16/0.37  % CPUTime  : 
% 0.23/0.51  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.52  * 
% 0.23/0.52  * 
% 0.23/0.52  #<PACKAGE "SNARK-USER">
% 0.23/0.52  * 
% 0.23/0.52  SNARK-TPTP-OPTIONS
% 0.23/0.52  * 
% 0.23/0.52  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.23/0.52   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.23/0.52   (USE-FACTORING :POS)
% 0.23/0.52   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.23/0.52   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.23/0.52   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.23/0.52   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.23/0.52   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.23/0.52   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.23/0.52   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.23/0.52   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.23/0.52   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.23/0.52   (DECLARE-TPTP-SYMBOLS2))
% 0.23/0.52  * 
% 0.23/0.52  "."
% 0.23/0.52  * 
% 0.23/0.52  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T04:22:14
% 0.23/0.52  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-18T04:22:14
% 0.42/0.58  
% 0.42/0.58  
% 0.42/0.58  #||
% 0.42/0.58  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.58  % SZS output start Refutation
% See solution above
% 0.42/0.58  ||#
% 0.42/0.58  
% 0.42/0.58  ; Summary of computation:
% 0.42/0.58  ;       160 formulas have been input or derived (from 54 formulas).
% 0.42/0.58  ;       116 (72%) were retained.  Of these,
% 0.42/0.58  ;           23 (20%) were simplified or subsumed later,
% 0.42/0.58  ;           93 (80%) are still being kept.
% 0.42/0.58  ; 
% 0.42/0.58  ; Run time in seconds excluding printing time:
% 0.42/0.58  ;     0.009  16%   Read assertion file          (1 call)
% 0.42/0.58  ;     0.003   5%   Assert                       (37 calls)
% 0.42/0.58  ;     0.006  11%   Process new row              (150 calls)
% 0.42/0.58  ;     0.004   7%   Resolution                   (106 calls)
% 0.42/0.58  ;     0.000   0%   Paramodulation               (53 calls)
% 0.42/0.58  ;     0.000   0%   Factoring                    (3 calls)
% 0.42/0.58  ;     0.002   4%   Condensing                   (71 calls)
% 0.42/0.58  ;     0.002   4%   Forward subsumption          (71 calls)
% 0.42/0.58  ;     0.002   4%   Backward subsumption         (67 calls)
% 0.42/0.58  ;     0.000   0%   Clause clause subsumption    (47 calls)
% 0.42/0.58  ;     0.002   4%   Forward simplification       (150 calls)
% 0.42/0.58  ;     0.001   2%   Backward simplification      (115 calls)
% 0.42/0.58  ;     0.000   0%   Ordering                     (41 calls)
% 0.42/0.58  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.42/0.58  ;     0.000   0%   Purity testing               (1 call)
% 0.42/0.58  ;     0.024  44%   Other
% 0.42/0.58  ;     0.055        Total
% 0.42/0.58  ;     0.056        Real time
% 0.42/0.58  ; 
% 0.42/0.58  ; Term-hash-array has 121 terms in all.
% 0.42/0.58  ; Feature-vector-row-index has 46 entries (46 at peak, 67 added, 21 deleted).
% 0.42/0.58  ; Feature-vector-row-index has 98 nodes (98 at peak, 140 added, 42 deleted).
% 0.42/0.58  ;  Retrieved 30 possibly forward subsuming rows in 71 calls.
% 0.42/0.58  ;  Retrieved 23 possibly backward subsumed rows in 67 calls.
% 0.42/0.58  ; Path-index has 111 entries (111 at peak, 130 added, 19 deleted).
% 0.42/0.58  ; Path-index has 263 nodes (263 at peak, 281 added, 18 deleted).
% 0.42/0.58  ; Trie-index has 111 entries (111 at peak, 130 added, 19 deleted).
% 0.42/0.58  ; Trie-index has 207 nodes (207 at peak, 234 added, 27 deleted).
% 0.42/0.58  ; Retrieved 126 generalization terms in 134 calls.
% 0.42/0.58  ; Retrieved 73 instance terms in 47 calls.
% 0.42/0.58  ; Retrieved 696 unifiable terms in 274 calls.
% 0.42/0.58  ; 
% 0.42/0.58  ; The agenda of rows to process has 1 entry:
% 0.42/0.58  ;     1 with value 10
% 0.42/0.58  ; The agenda of rows to give has 39 entries:
% 0.42/0.58  ;     2 with value (4 5)           1 with value (4 9)            3 with value (4 13)
% 0.42/0.58  ;     9 with value (4 6)           4 with value (4 10)           1 with value (4 15)
% 0.42/0.58  ;     2 with value (4 7)           7 with value (4 11)           1 with value (4 17)
% 0.42/0.58  ;     9 with value (4 8)
% 0.42/0.58  Evaluation took:
% 0.42/0.58    0.056 seconds of real time
% 0.42/0.58    0.049378 seconds of user run time
% 0.42/0.58    0.006943 seconds of system run time
% 0.42/0.58    0 calls to %EVAL
% 0.42/0.58    0 page faults and
% 0.42/0.58    3,029,568 bytes consed.
% 0.42/0.58  :PROOF-FOUND
% 0.42/0.58  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T04:22:14
% 0.42/0.58  :PROOF-FOUND
% 0.42/0.58  * 
%------------------------------------------------------------------------------