TSTP Solution File: NUM410+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM410+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n004.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 14:10:18 EDT 2022

% Result   : Theorem 0.35s 0.53s
% Output   : Refutation 0.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of clauses     :    9 (   7 unt;   0 nHn;   8 RR)
%            Number of literals    :   16 (   0 equ;   8 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(11,axiom,
    ( ~ relation(X)
    | ~ function(X)
    | transfinite_sequence(X)
    | ~ ordinal(relation_dom(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_ordinal1) ).

cnf(13,axiom,
    ( ~ relation(X)
    | ~ function(X)
    | ~ transfinite_sequence(X)
    | transfinite_sequence_of(X,Y)
    | ~ subset(relation_rng(X),Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_ordinal1) ).

cnf(65,axiom,
    subset(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

cnf(70,negated_conjecture,
    relation('SKOLEMAAAV17'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_ordinal1) ).

cnf(71,negated_conjecture,
    function('SKOLEMAAAV17'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_ordinal1) ).

cnf(72,negated_conjecture,
    ordinal(relation_dom('SKOLEMAAAV17')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_ordinal1) ).

cnf(73,negated_conjecture,
    ~ transfinite_sequence_of('SKOLEMAAAV17',relation_rng('SKOLEMAAAV17')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_ordinal1) ).

cnf(115,plain,
    transfinite_sequence('SKOLEMAAAV17'),
    inference('HYPERRESOLVE',[status(thm)],[11,70,71,72]) ).

cnf(116,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[13,70,71,73,65]),115]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM410+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % 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 : Tue Jul  5 15:04:52 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 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 2022-07-05T15:04:53
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-05T15:04:53
% 0.20/0.50  WARNING:
% 0.20/0.50     |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50  WARNING:
% 0.20/0.51     |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.51  WARNING:
% 0.20/0.51     |with_non_empty_elements| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.51  WARNING:
% 0.20/0.51     |relation_non_empty| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.35/0.53  
% 0.35/0.53  
% 0.35/0.53  #||
% 0.35/0.53  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/0.53  % SZS output start Refutation
% See solution above
% 0.35/0.53  ||#
% 0.35/0.53  
% 0.35/0.53  ; Summary of computation:
% 0.35/0.53  ;       238 formulas have been input or derived (from 79 formulas).
% 0.35/0.53  ;       116 (49%) were retained.  Of these,
% 0.35/0.53  ;           24 (21%) were simplified or subsumed later,
% 0.35/0.53  ;           92 (79%) are still being kept.
% 0.35/0.53  ; 
% 0.35/0.53  ; Run time in seconds excluding printing time:
% 0.35/0.53  ;     0.008  17%   Read assertion file          (1 call)
% 0.35/0.53  ;     0.001   2%   Assert                       (45 calls)
% 0.35/0.53  ;     0.006  12%   Process new row              (222 calls)
% 0.35/0.53  ;     0.003   6%   Resolution                   (156 calls)
% 0.35/0.53  ;     0.000   0%   Paramodulation               (78 calls)
% 0.35/0.53  ;     0.001   2%   Condensing                   (32 calls)
% 0.35/0.53  ;     0.000   0%   Forward subsumption          (32 calls)
% 0.35/0.53  ;     0.000   0%   Backward subsumption         (32 calls)
% 0.35/0.53  ;     0.000   0%   Clause clause subsumption    (4 calls)
% 0.35/0.53  ;     0.002   4%   Forward simplification       (208 calls)
% 0.35/0.53  ;     0.000   0%   Backward simplification      (116 calls)
% 0.35/0.53  ;     0.001   2%   Ordering                     (8 calls)
% 0.35/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.35/0.53  ;     0.001   2%   Purity testing               (1 call)
% 0.35/0.53  ;     0.025  52%   Other
% 0.35/0.53  ;     0.048        Total
% 0.35/0.53  ;     0.050        Real time
% 0.35/0.53  ; 
% 0.35/0.53  ; Term-hash-array has 129 terms in all.
% 0.35/0.53  ; Feature-vector-row-index has 32 entries (32 at peak, 32 added, 0 deleted).
% 0.35/0.53  ; Feature-vector-row-index has 68 nodes (68 at peak, 68 added, 0 deleted).
% 0.35/0.53  ;  Retrieved 3 possibly forward subsuming rows in 32 calls.
% 0.35/0.53  ;  Retrieved 1 possibly backward subsumed row in 32 calls.
% 0.35/0.53  ; Path-index has 121 entries (121 at peak, 145 added, 24 deleted).
% 0.35/0.53  ; Path-index has 167 nodes (167 at peak, 191 added, 24 deleted).
% 0.35/0.53  ; Trie-index has 121 entries (121 at peak, 145 added, 24 deleted).
% 0.35/0.53  ; Trie-index has 169 nodes (169 at peak, 193 added, 24 deleted).
% 0.35/0.53  ; Retrieved 93 generalization terms in 189 calls.
% 0.35/0.53  ; Retrieved 86 instance terms in 83 calls.
% 0.35/0.53  ; Retrieved 1,366 unifiable terms in 649 calls.
% 0.35/0.53  ; 
% 0.35/0.53  ; The agenda of rows to process has 1 entry:
% 0.35/0.53  ;     1 with value 7
% 0.35/0.53  ; The agenda of rows to give has 25 entries:
% 0.35/0.53  ;     1 with value (4 4)          12 with value (4 6)            2 with value (4 9)
% 0.35/0.53  ;     5 with value (4 5)           4 with value (4 7)            1 with value (4 10)
% 0.35/0.53  Evaluation took:
% 0.35/0.53    0.05 seconds of real time
% 0.35/0.53    0.041938 seconds of user run time
% 0.35/0.53    0.00805 seconds of system run time
% 0.35/0.53    0 calls to %EVAL
% 0.35/0.53    0 page faults and
% 0.35/0.53    2,661,160 bytes consed.
% 0.35/0.53  :PROOF-FOUND
% 0.35/0.53  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T15:04:53
% 0.35/0.53  :PROOF-FOUND
% 0.35/0.53  * 
%------------------------------------------------------------------------------