TSTP Solution File: NUM405+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM405+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n012.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 : Mon Jul 18 14:10:16 EDT 2022

% Result   : Theorem 0.17s 0.50s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   4 unt;   1 nHn;   6 RR)
%            Number of literals    :   15 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   10 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(30,axiom,
    ( ~ in(X,'SKOLEMAAAU15'(Y))
    | ordinal(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e2_43__ordinal1) ).

cnf(31,axiom,
    ( in(X,'SKOLEMAAAU15'(Y))
    | ~ in(X,Y)
    | ~ ordinal(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e2_43__ordinal1) ).

cnf(34,axiom,
    ( ~ in('SKOLEMAAAU16'(X),X)
    | ~ ordinal('SKOLEMAAAU16'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_ordinal1) ).

cnf(35,axiom,
    ( in('SKOLEMAAAU16'(X),X)
    | ordinal('SKOLEMAAAU16'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_ordinal1) ).

cnf(36,negated_conjecture,
    ( ~ ordinal(X)
    | in(X,'SKOLEMAAAU17') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_ordinal1) ).

cnf(63,plain,
    ordinal('SKOLEMAAAU16'('SKOLEMAAAU15'(X))),
    inference('HYPERRESOLVE',[status(thm)],[30,35]) ).

cnf(87,plain,
    in('SKOLEMAAAU16'('SKOLEMAAAU15'(X)),'SKOLEMAAAU17'),
    inference('HYPERRESOLVE',[status(thm)],[36,63]) ).

cnf(88,plain,
    ~ in('SKOLEMAAAU16'('SKOLEMAAAU15'(X)),'SKOLEMAAAU15'(X)),
    inference('UR-RESOLVE',[status(thm)],[34,63]) ).

cnf(127,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[31,88,87,63]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : NUM405+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.12/0.32  % Computer : n012.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Wed Jul  6 12:30:00 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.17/0.43  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44  * 
% 0.17/0.44  * 
% 0.17/0.45  #<PACKAGE "SNARK-USER">
% 0.17/0.45  * 
% 0.17/0.45  SNARK-TPTP-OPTIONS
% 0.17/0.45  * 
% 0.17/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.45   (USE-FACTORING :POS)
% 0.17/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.45  * 
% 0.17/0.45  "."
% 0.17/0.45  * 
% 0.17/0.45  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T12:30:00
% 0.17/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-06T12:30:00
% 0.17/0.46  WARNING:
% 0.17/0.46     |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.46  WARNING:
% 0.17/0.46     |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.46  WARNING:
% 0.17/0.46     |relation_non_empty| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.46  WARNING:
% 0.17/0.46     |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.46  WARNING:
% 0.17/0.46     |relation| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.50  
% 0.17/0.50  
% 0.17/0.50  #||
% 0.17/0.50  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.50  % SZS output start Refutation
% See solution above
% 0.17/0.50  ||#
% 0.17/0.50  
% 0.17/0.50  ; Summary of computation:
% 0.17/0.50  ;       389 formulas have been input or derived (from 91 formulas).
% 0.17/0.50  ;       127 (33%) were retained.  Of these,
% 0.17/0.50  ;           23 (18%) were simplified or subsumed later,
% 0.17/0.50  ;          104 (82%) are still being kept.
% 0.17/0.50  ; 
% 0.17/0.50  ; Run time in seconds:
% 0.17/0.50  ;     0.006  12%   Read assertion file          (1 call)
% 0.17/0.50  ;     0.000   0%   Assert                       (33 calls)
% 0.17/0.50  ;     0.009  17%   Process new row              (325 calls)
% 0.17/0.50  ;     0.005  10%   Resolution                   (180 calls)
% 0.17/0.50  ;     0.001   2%   Paramodulation               (90 calls)
% 0.17/0.50  ;     0.000   0%   Factoring                    (2 calls)
% 0.17/0.50  ;     0.001   2%   Condensing                   (22 calls)
% 0.17/0.50  ;     0.000   0%   Forward subsumption          (22 calls)
% 0.17/0.50  ;     0.000   0%   Backward subsumption         (22 calls)
% 0.17/0.50  ;     0.000   0%   Clause clause subsumption    (1 call)
% 0.17/0.50  ;     0.001   2%   Forward simplification       (287 calls)
% 0.17/0.50  ;     0.000   0%   Backward simplification      (127 calls)
% 0.17/0.50  ;     0.000   0%   Ordering                     (37 calls)
% 0.17/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.17/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.17/0.50  ;     0.029  56%   Other
% 0.17/0.50  ;     0.052        Total
% 0.17/0.50  ;     0.053        Real time
% 0.17/0.50  ; 
% 0.17/0.50  ; Term-hash-array has 148 terms in all.
% 0.17/0.50  ; Feature-vector-row-index has 22 entries (22 at peak, 22 added, 0 deleted).
% 0.17/0.50  ; Feature-vector-row-index has 53 nodes (53 at peak, 53 added, 0 deleted).
% 0.17/0.50  ;  Retrieved 1 possibly forward subsuming row in 22 calls.
% 0.17/0.50  ;  Retrieved 0 possibly backward subsumed rows in 22 calls.
% 0.17/0.50  ; Path-index has 134 entries (134 at peak, 158 added, 24 deleted).
% 0.17/0.50  ; Path-index has 175 nodes (175 at peak, 199 added, 24 deleted).
% 0.17/0.50  ; Trie-index has 134 entries (134 at peak, 158 added, 24 deleted).
% 0.17/0.50  ; Trie-index has 232 nodes (232 at peak, 261 added, 29 deleted).
% 0.17/0.50  ; Retrieved 162 generalization terms in 303 calls.
% 0.17/0.50  ; Retrieved 104 instance terms in 104 calls.
% 0.17/0.50  ; Retrieved 1,245 unifiable terms in 746 calls.
% 0.17/0.50  ; 
% 0.17/0.50  ; The agenda of rows to process has 7 entries:
% 0.17/0.50  ;     3 with value 10              2 with value 11               2 with value 13
% 0.17/0.50  ; The agenda of rows to give has 22 entries:
% 0.17/0.50  ;    12 with value (4 11)          3 with value (4 13)           1 with value (4 15)
% 0.17/0.50  ;     5 with value (4 12)          1 with value (4 14)
% 0.17/0.50  Evaluation took:
% 0.17/0.50    0.053 seconds of real time
% 0.17/0.50    0.048991 seconds of user run time
% 0.17/0.50    0.003978 seconds of system run time
% 0.17/0.50    0 calls to %EVAL
% 0.17/0.50    0 page faults and
% 0.17/0.50    2,828,744 bytes consed.
% 0.17/0.50  :PROOF-FOUND
% 0.17/0.50  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T12:30:00
% 0.17/0.50  :PROOF-FOUND
% 0.17/0.50  * 
%------------------------------------------------------------------------------