TSTP Solution File: NUM294+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM294+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 14:07:40 EDT 2022

% Result   : Theorem 1.52s 1.70s
% Output   : Refutation 1.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    8 (   6 unt;   0 nHn;   6 RR)
%            Number of literals    :   12 (   0 equ;   5 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   11 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(13,axiom,
    rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn12) ).

cnf(21,axiom,
    rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn20) ).

cnf(267,axiom,
    rdn_positive_less(rdnn(n1),rdnn(n2)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less12) ).

cnf(276,axiom,
    ( ~ rdn_positive_less(X,Y)
    | rdn_positive_less(rdn(rdnn(Z),X),rdn(rdnn(U),Y)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_multi_digit_high) ).

cnf(281,axiom,
    ( ~ rdn_translate(X,rdn_pos(Y))
    | ~ rdn_translate(Z,rdn_pos(U))
    | ~ rdn_positive_less(Y,U)
    | less(X,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',less_entry_point_pos_pos) ).

cnf(407,negated_conjecture,
    ~ less(n12,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n12_less_something) ).

cnf(428,plain,
    rdn_positive_less(rdn(rdnn(X),rdnn(n1)),rdn(rdnn(Y),rdnn(n2))),
    inference('HYPERRESOLVE',[status(thm)],[276,267]) ).

cnf(17040,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[281,13,21,407]),428]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM294+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n020.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Fri Jul  8 00:06:14 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T00:06:14
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-08T00:06:14
% 0.37/0.54  
% 1.52/1.70  ; Recognized relation functionality assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?X ?Y ?U)) (= ?Z ?U)).
% 1.52/1.70  
% 1.52/1.70  #||
% 1.52/1.70  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.52/1.70  % SZS output start Refutation
% See solution above
% 1.52/1.70  ||#
% 1.52/1.70  
% 1.52/1.70  ; Summary of computation:
% 1.52/1.70  ;     33767 formulas have been input or derived (from 395 formulas).
% 1.52/1.70  ;     17040 (50%) were retained.  Of these,
% 1.52/1.70  ;        17040 (100%) are still being kept.
% 1.52/1.70  ; 
% 1.52/1.70  ; Run time in seconds:
% 1.52/1.70  ;     0.060   5%   Read assertion file          (1 call)
% 1.52/1.70  ;     0.006   0%   Assert                       (402 calls)
% 1.52/1.70  ;     0.446  36%   Process new row              (33,586 calls)
% 1.52/1.70  ;     0.375  30%   Resolution                   (788 calls)
% 1.52/1.70  ;     0.007   1%   Paramodulation               (394 calls)
% 1.52/1.70  ;     0.001   0%   Factoring                    (1 call)
% 1.52/1.70  ;     0.003   0%   Condensing                   (38 calls)
% 1.52/1.70  ;     0.001   0%   Forward subsumption          (38 calls)
% 1.52/1.70  ;     0.000   0%   Backward subsumption         (34 calls)
% 1.52/1.70  ;     0.000   0%   Clause clause subsumption    (13 calls)
% 1.52/1.70  ;     0.190  15%   Forward simplification       (33,586 calls)
% 1.52/1.70  ;     0.046   4%   Backward simplification      (17,040 calls)
% 1.52/1.70  ;     0.000   0%   Ordering                     (33 calls)
% 1.52/1.70  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.52/1.70  ;     0.001   0%   Purity testing               (1 call)
% 1.52/1.70  ;     0.103   8%   Other
% 1.52/1.70  ;     1.239        Total
% 1.52/1.70  ;     1.240        Real time
% 1.52/1.70  ; 
% 1.52/1.70  ; Term-hash-array has 17,500 terms in all.
% 1.52/1.70  ; Feature-vector-row-index has 34 entries (34 at peak, 34 added, 0 deleted).
% 1.52/1.70  ; Feature-vector-row-index has 158 nodes (158 at peak, 158 added, 0 deleted).
% 1.52/1.70  ;  Retrieved 10 possibly forward subsuming rows in 38 calls.
% 1.52/1.70  ;  Retrieved 3 possibly backward subsumed rows in 34 calls.
% 1.52/1.70  ; Path-index has 17,756 entries (17,756 at peak, 17,756 added, 0 deleted).
% 1.52/1.70  ; Path-index has 1,481 nodes (1,481 at peak, 1,481 added, 0 deleted).
% 1.52/1.70  ; Trie-index has 17,756 entries (17,756 at peak, 17,756 added, 0 deleted).
% 1.52/1.70  ; Trie-index has 20,639 nodes (20,639 at peak, 20,639 added, 0 deleted).
% 1.52/1.70  ; Retrieved 32,943 generalization terms in 33,657 calls.
% 1.52/1.70  ; Retrieved 17,012 instance terms in 17,005 calls.
% 1.52/1.70  ; Retrieved 266,460 unifiable terms in 70,990 calls.
% 1.52/1.70  ; 
% 1.52/1.70  ; The agenda of rows to process has 47 entries:
% 1.52/1.70  ;    19 with value 15             28 with value 19
% 1.52/1.70  ; The agenda of input rows to give has 13 entries:
% 1.52/1.70  ;     1 with value 20              1 with value 32               1 with value 48
% 1.52/1.70  ;     1 with value 21              1 with value 33               1 with value 64
% 1.52/1.70  ;     2 with value 22              2 with value 35               1 with value 68
% 1.52/1.70  ;     2 with value 31
% 1.52/1.70  ; The agenda of rows to give has 16632 entries:
% 1.52/1.70  ; 16395 with value (4 5)          10 with value (4 9)            1 with value (4 13)
% 1.52/1.70  ;   136 with value (4 6)          10 with value (4 12)          79 with value (4 15)
% 1.52/1.70  ;     1 with value (4 7)
% 1.52/1.70  Evaluation took:
% 1.52/1.70    1.241 seconds of real time
% 1.52/1.70    1.08797 seconds of user run time
% 1.52/1.70    0.151772 seconds of system run time
% 1.52/1.70    [Run times include 0.22 seconds GC run time.]
% 1.52/1.70    0 calls to %EVAL
% 1.52/1.70    0 page faults and
% 1.52/1.70    106,420,184 bytes consed.
% 1.52/1.70  :PROOF-FOUND
% 1.52/1.70  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T00:06:15
% 1.52/1.70  :PROOF-FOUND
% 1.52/1.70  * 
%------------------------------------------------------------------------------