TSTP Solution File: GEO228+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO228+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n008.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 06:15:13 EDT 2022

% Result   : Theorem 0.21s 0.53s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   5 unt;   3 nHn;  11 RR)
%            Number of literals    :   19 (   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    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   10 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    ( ~ convergent_lines(X,Y)
    | unequally_directed_lines(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',con_def) ).

cnf(5,axiom,
    ( ~ convergent_lines(X,Y)
    | unequally_directed_lines(X,reverse_line(Y)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',con_def) ).

cnf(35,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/GEO007+0.ax',oag9) ).

cnf(37,axiom,
    ~ left_convergent_lines(X,Y),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag11) ).

cnf(52,negated_conjecture,
    ( convergent_lines('SKOLEMAAAV1','SKOLEMAAAV2')
    | unequally_directed_lines('SKOLEMAAAV1','SKOLEMAAAV2') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(53,negated_conjecture,
    ( convergent_lines('SKOLEMAAAV1','SKOLEMAAAV2')
    | unequally_directed_lines('SKOLEMAAAV1',reverse_line('SKOLEMAAAV2')) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(55,plain,
    ( ~ unequally_directed_lines(X,Y)
    | ~ unequally_directed_lines(X,reverse_line(Y)) ),
    inference('REWRITE',[status(thm)],[35,37]) ).

cnf(64,plain,
    convergent_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
    inference('HYPERRESOLVE',[status(thm)],[55,52,53]) ).

cnf(74,plain,
    unequally_directed_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
    inference('HYPERRESOLVE',[status(thm)],[4,64]) ).

cnf(75,plain,
    unequally_directed_lines('SKOLEMAAAV1',reverse_line('SKOLEMAAAV2')),
    inference('HYPERRESOLVE',[status(thm)],[5,64]) ).

cnf(79,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[55,74]),75]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO228+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.13/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n008.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
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 08:40:52 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 2022-06-18T08:40:52
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-18T08:40:52
% 0.21/0.53  
% 0.21/0.53  
% 0.21/0.53  #||
% 0.21/0.53  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.53  % SZS output start Refutation
% See solution above
% 0.21/0.53  ||#
% 0.21/0.53  
% 0.21/0.53  ; Summary of computation:
% 0.21/0.53  ;       110 formulas have been input or derived (from 37 formulas).
% 0.21/0.53  ;        79 (72%) were retained.  Of these,
% 0.21/0.53  ;           28 (35%) were simplified or subsumed later,
% 0.21/0.53  ;           51 (65%) are still being kept.
% 0.21/0.53  ; 
% 0.21/0.53  ; Run time in seconds:
% 0.21/0.53  ;     0.008  17%   Read assertion file          (1 call)
% 0.21/0.53  ;     0.002   4%   Assert                       (32 calls)
% 0.21/0.53  ;     0.002   4%   Process new row              (102 calls)
% 0.21/0.53  ;     0.001   2%   Resolution                   (72 calls)
% 0.21/0.53  ;     0.000   0%   Paramodulation               (36 calls)
% 0.21/0.53  ;     0.000   0%   Factoring                    (2 calls)
% 0.21/0.53  ;     0.001   2%   Condensing                   (48 calls)
% 0.21/0.53  ;     0.002   4%   Forward subsumption          (48 calls)
% 0.21/0.53  ;     0.001   2%   Backward subsumption         (46 calls)
% 0.21/0.53  ;     0.001   2%   Clause clause subsumption    (53 calls)
% 0.21/0.53  ;     0.003   6%   Forward simplification       (102 calls)
% 0.21/0.53  ;     0.000   0%   Backward simplification      (78 calls)
% 0.21/0.53  ;     0.000   0%   Ordering                     (4 calls)
% 0.21/0.53  ;     0.001   2%   Sortal reasoning             (32 calls)
% 0.21/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.53  ;     0.025  53%   Other
% 0.21/0.53  ;     0.047        Total
% 0.21/0.53  ;     0.047        Real time
% 0.21/0.53  ; 
% 0.21/0.53  ; Term-hash-array has 86 terms in all.
% 0.21/0.53  ; Feature-vector-row-index has 20 entries (32 at peak, 46 added, 26 deleted).
% 0.21/0.53  ; Feature-vector-row-index has 37 nodes (66 at peak, 99 added, 62 deleted).
% 0.21/0.53  ;  Retrieved 29 possibly forward subsuming rows in 48 calls.
% 0.21/0.53  ;  Retrieved 26 possibly backward subsumed rows in 46 calls.
% 0.21/0.53  ; Path-index has 72 entries (72 at peak, 94 added, 22 deleted).
% 0.21/0.53  ; Path-index has 200 nodes (200 at peak, 222 added, 22 deleted).
% 0.21/0.53  ; Trie-index has 72 entries (72 at peak, 94 added, 22 deleted).
% 0.21/0.53  ; Trie-index has 145 nodes (145 at peak, 177 added, 32 deleted).
% 0.21/0.53  ; Retrieved 122 generalization terms in 117 calls.
% 0.21/0.53  ; Retrieved 53 instance terms in 31 calls.
% 0.21/0.53  ; Retrieved 441 unifiable terms in 162 calls.
% 0.21/0.53  ; 
% 0.21/0.53  ; The agenda of rows to process has 1 entry:
% 0.21/0.53  ;     1 with value 11
% 0.21/0.53  ; The agenda of rows to give has 16 entries:
% 0.21/0.53  ;     4 with value (4 7)           3 with value (4 10)           2 with value (4 15)
% 0.21/0.53  ;     5 with value (4 8)           2 with value (4 12)
% 0.21/0.53  Evaluation took:
% 0.21/0.53    0.047 seconds of real time
% 0.21/0.53    0.042411 seconds of user run time
% 0.21/0.53    0.005085 seconds of system run time
% 0.21/0.53    0 calls to %EVAL
% 0.21/0.53    0 page faults and
% 0.21/0.53    2,816,232 bytes consed.
% 0.21/0.53  :PROOF-FOUND
% 0.21/0.53  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T08:40:52
% 0.21/0.53  :PROOF-FOUND
% 0.21/0.53  * 
%------------------------------------------------------------------------------