TSTP Solution File: NUM326+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM326+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : Mon Jul 18 14:07:50 EDT 2022

% Result   : Theorem 1.27s 1.47s
% Output   : Refutation 1.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   5 RR)
%            Number of literals    :    7 (   0 equ;   3 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-1 aty)
%            Number of variables   :    4 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(6,axiom,
    rdn_translate(n5,rdn_pos(rdnn(n5))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn5) ).

cnf(133,axiom,
    rdn_translate(nn5,rdn_neg(rdnn(n5))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn5) ).

cnf(295,axiom,
    ( ~ rdn_translate(X,rdn_pos(Y))
    | ~ rdn_translate(Z,rdn_neg(Y))
    | sum(X,Z,n0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',sum_entry_point_posx_negx) ).

cnf(407,negated_conjecture,
    ~ sum(X,nn5,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_what_nn5_n0) ).

cnf(16814,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[295,6,133,407]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : NUM326+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.13  % 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 : Wed Jul  6 09:39:38 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  * 
% 0.18/0.46  * 
% 0.18/0.47  #<PACKAGE "SNARK-USER">
% 0.18/0.47  * 
% 0.18/0.47  SNARK-TPTP-OPTIONS
% 0.18/0.47  * 
% 0.18/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47   (USE-FACTORING :POS)
% 0.18/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47  * 
% 0.18/0.47  "."
% 0.18/0.47  * 
% 0.18/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T09:39:38
% 0.18/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-06T09:39:38
% 0.37/0.54  
% 1.27/1.47  ; Recognized relation functionality assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?X ?Y ?U)) (= ?Z ?U)).
% 1.27/1.47  
% 1.27/1.47  #||
% 1.27/1.47  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.27/1.47  % SZS output start Refutation
% See solution above
% 1.27/1.47  ||#
% 1.27/1.47  
% 1.27/1.47  ; Summary of computation:
% 1.27/1.47  ;     33612 formulas have been input or derived (from 394 formulas).
% 1.27/1.47  ;     16814 (50%) were retained.  Of these,
% 1.27/1.47  ;        16814 (100%) are still being kept.
% 1.27/1.47  ; 
% 1.27/1.47  ; Run time in seconds excluding printing time:
% 1.27/1.47  ;     0.059   6%   Read assertion file          (1 call)
% 1.27/1.47  ;     0.005   0%   Assert                       (402 calls)
% 1.27/1.47  ;     0.510  51%   Process new row              (33,222 calls)
% 1.27/1.47  ;     0.162  16%   Resolution                   (786 calls)
% 1.27/1.47  ;     0.002   0%   Paramodulation               (393 calls)
% 1.27/1.47  ;     0.000   0%   Factoring                    (1 call)
% 1.27/1.47  ;     0.001   0%   Condensing                   (36 calls)
% 1.27/1.47  ;     0.001   0%   Forward subsumption          (36 calls)
% 1.27/1.47  ;     0.001   0%   Backward subsumption         (33 calls)
% 1.27/1.47  ;     0.000   0%   Clause clause subsumption    (12 calls)
% 1.27/1.47  ;     0.095   9%   Forward simplification       (33,222 calls)
% 1.27/1.47  ;     0.056   6%   Backward simplification      (16,814 calls)
% 1.27/1.47  ;     0.000   0%   Ordering                     (31 calls)
% 1.27/1.47  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.27/1.47  ;     0.000   0%   Purity testing               (1 call)
% 1.27/1.47  ;     0.113  11%   Other
% 1.27/1.47  ;     1.005        Total
% 1.27/1.47  ;     1.005        Real time
% 1.27/1.47  ; 
% 1.27/1.47  ; Term-hash-array has 17,272 terms in all.
% 1.27/1.47  ; Feature-vector-row-index has 33 entries (33 at peak, 33 added, 0 deleted).
% 1.27/1.47  ; Feature-vector-row-index has 155 nodes (155 at peak, 155 added, 0 deleted).
% 1.27/1.47  ;  Retrieved 9 possibly forward subsuming rows in 36 calls.
% 1.27/1.47  ;  Retrieved 3 possibly backward subsumed rows in 33 calls.
% 1.27/1.47  ; Path-index has 17,528 entries (17,528 at peak, 17,528 added, 0 deleted).
% 1.27/1.47  ; Path-index has 1,207 nodes (1,207 at peak, 1,207 added, 0 deleted).
% 1.27/1.47  ; Trie-index has 17,528 entries (17,528 at peak, 17,528 added, 0 deleted).
% 1.27/1.47  ; Trie-index has 20,123 nodes (20,123 at peak, 20,123 added, 0 deleted).
% 1.27/1.47  ; Retrieved 32,795 generalization terms in 33,292 calls.
% 1.27/1.47  ; Retrieved 16,786 instance terms in 16,780 calls.
% 1.27/1.47  ; Retrieved 106,815 unifiable terms in 21,290 calls.
% 1.27/1.47  ; 
% 1.27/1.47  ; The agenda of rows to process has 383 entries:
% 1.27/1.47  ;   254 with value 6              90 with value 13              28 with value 17
% 1.27/1.47  ;    11 with value 9
% 1.27/1.47  ; The agenda of input rows to give has 14 entries:
% 1.27/1.47  ;     2 with value 20              1 with value 32               1 with value 48
% 1.27/1.47  ;     1 with value 21              1 with value 33               1 with value 64
% 1.27/1.47  ;     2 with value 22              2 with value 35               1 with value 68
% 1.27/1.47  ;     2 with value 31
% 1.27/1.47  ; The agenda of rows to give has 16406 entries:
% 1.27/1.47  ; 16386 with value (4 5)           1 with value (4 13)           9 with value (4 15)
% 1.27/1.47  ;    10 with value (4 6)
% 1.27/1.47  Evaluation took:
% 1.27/1.47    1.006 seconds of real time
% 1.27/1.47    0.871613 seconds of user run time
% 1.27/1.47    0.134764 seconds of system run time
% 1.27/1.47    [Run times include 0.146 seconds GC run time.]
% 1.27/1.47    0 calls to %EVAL
% 1.27/1.47    0 page faults and
% 1.27/1.47    85,398,952 bytes consed.
% 1.27/1.47  :PROOF-FOUND
% 1.27/1.47  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T09:39:39
% 1.27/1.47  :PROOF-FOUND
% 1.27/1.47  * 
%------------------------------------------------------------------------------