TSTP Solution File: NUM338+1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM338+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 14:07:54 EDT 2022

% Result   : Theorem 44.28s 44.48s
% Output   : Refutation 44.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   15 (  11 unt;   0 nHn;  15 RR)
%            Number of literals    :   24 (   2 equ;  11 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-1 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    rdn_translate(n2,rdn_pos(rdnn(n2))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn2) ).

cnf(4,axiom,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn3) ).

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

cnf(291,axiom,
    ( ~ rdn_translate(X,rdn_pos(Y))
    | ~ rdn_translate(Z,rdn_pos(U))
    | ~ rdn_add_with_carry(rdnn(n0),Y,U,V)
    | ~ rdn_translate(W,rdn_pos(V))
    | sum(X,Z,W) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',sum_entry_point_pos_pos) ).

cnf(299,axiom,
    ( ~ sum(X,Y,Z)
    | ~ sum(X,U,Z)
    | Y = U ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',unique_RHS) ).

cnf(301,axiom,
    ( sum(X,Y,Z)
    | ~ difference(Z,X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',minus_entry_point) ).

cnf(302,axiom,
    ( ~ rdn_digit_add(rdnn(X),rdnn(Y),rdnn(Z),rdnn(n0))
    | ~ rdn_digit_add(rdnn(Z),rdnn(U),rdnn(V),rdnn(n0))
    | rdn_add_with_carry(rdnn(U),rdnn(X),rdnn(Y),rdnn(V)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',add_digit_digit_digit) ).

cnf(339,axiom,
    rdn_digit_add(rdnn(n3),rdnn(n2),rdnn(n5),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n3_n2_n5_n0) ).

cnf(357,axiom,
    rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n5_n0_n5_n0) ).

cnf(407,negated_conjecture,
    difference(n5,n3,'SKOLEMAAAU1'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_n5_n3_only_n2) ).

cnf(408,negated_conjecture,
    'SKOLEMAAAU1' != n2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_n5_n3_only_n2) ).

cnf(420,plain,
    sum(n3,'SKOLEMAAAU1',n5),
    inference('HYPERRESOLVE',[status(thm)],[301,407]) ).

cnf(17116,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n3),rdnn(n2),rdnn(n5)),
    inference('HYPERRESOLVE',[status(thm)],[302,339,357]) ).

cnf(67569,plain,
    ~ sum(n3,n2,n5),
    inference('UR-RESOLVE',[status(thm)],[299,420,408]) ).

cnf(133439,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[291,67569,4,3,6]),17116]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM338+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n020.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jul  7 16:47:44 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T16:47:44
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-07T16:47:44
% 0.18/0.53  
% 44.28/44.48  ; Recognized relation functionality assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?X ?Y ?U)) (= ?Z ?U)).
% 44.28/44.48  
% 44.28/44.48  #||
% 44.28/44.48  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 44.28/44.48  % SZS output start Refutation
% See solution above
% 44.28/44.48  ||#
% 44.28/44.48  
% 44.28/44.48  ; Summary of computation:
% 44.28/44.48  ;    401130 formulas have been input or derived (from 66153 formulas).
% 44.28/44.48  ;    133439 (33%) were retained.  Of these,
% 44.28/44.48  ;       133439 (100%) are still being kept.
% 44.28/44.48  ; 
% 44.28/44.48  ; Run time in seconds excluding printing time:
% 44.28/44.48  ;     0.059   0%   Read assertion file          (1 call)
% 44.28/44.48  ;     0.006   0%   Assert                       (402 calls)
% 44.28/44.48  ;     5.414  12%   Process new row              (253,379 calls)
% 44.28/44.48  ;    34.225  78%   Resolution                   (132,304 calls)
% 44.28/44.48  ;     0.249   1%   Paramodulation               (66,152 calls)
% 44.28/44.48  ;     0.000   0%   Factoring                    (1 call)
% 44.28/44.48  ;     0.000   0%   Condensing                   (36 calls)
% 44.28/44.48  ;     0.000   0%   Forward subsumption          (36 calls)
% 44.28/44.48  ;     0.000   0%   Backward subsumption         (33 calls)
% 44.28/44.48  ;     0.000   0%   Clause clause subsumption    (12 calls)
% 44.28/44.48  ;     2.071   5%   Forward simplification       (253,379 calls)
% 44.28/44.48  ;     0.506   1%   Backward simplification      (133,439 calls)
% 44.28/44.48  ;     0.161   0%   Ordering                     (98,439 calls)
% 44.28/44.48  ;     0.000   0%   Sortal reasoning             (32 calls)
% 44.28/44.48  ;     0.001   0%   Purity testing               (1 call)
% 44.28/44.48  ;     1.328   3%   Other
% 44.28/44.48  ;    44.020        Total
% 44.28/44.48  ;    44.020        Real time
% 44.28/44.48  ; 
% 44.28/44.48  ; Term-hash-array has 133,901 terms in all.
% 44.28/44.48  ; Feature-vector-row-index has 33 entries (33 at peak, 33 added, 0 deleted).
% 44.28/44.48  ; Feature-vector-row-index has 155 nodes (155 at peak, 155 added, 0 deleted).
% 44.28/44.48  ;  Retrieved 9 possibly forward subsuming rows in 36 calls.
% 44.28/44.48  ;  Retrieved 3 possibly backward subsumed rows in 33 calls.
% 44.28/44.48  ; Path-index has 134,158 entries (134,158 at peak, 134,158 added, 0 deleted).
% 44.28/44.48  ; Path-index has 3,233 nodes (3,233 at peak, 3,233 added, 0 deleted).
% 44.28/44.48  ; Trie-index has 134,158 entries (134,158 at peak, 134,158 added, 0 deleted).
% 44.28/44.48  ; Trie-index has 175,731 nodes (175,731 at peak, 175,731 added, 0 deleted).
% 44.28/44.48  ; Retrieved 233,595 generalization terms in 301,795 calls.
% 44.28/44.48  ; Retrieved 133,411 instance terms in 133,405 calls.
% 44.28/44.48  ; Retrieved 39,117,784 unifiable terms in 7,217,478 calls.
% 44.28/44.48  ; 
% 44.28/44.48  ; The agenda of rows to give has 67286 entries:
% 44.28/44.48  ; 16656 with value (4 7)          40 with value (4 11)           9 with value (4 15)
% 44.28/44.48  ; 49437 with value (4 8)         220 with value (4 12)         831 with value (4 16)
% 44.28/44.48  ;    10 with value (4 9)          10 with value (4 13)          29 with value (4 23)
% 44.28/44.48  ;    44 with value (4 10)
% 44.28/44.48  Evaluation took:
% 44.28/44.48    44.021 seconds of real time
% 44.28/44.48    42.229156 seconds of user run time
% 44.28/44.48    1.793962 seconds of system run time
% 44.28/44.48    [Run times include 3.934 seconds GC run time.]
% 44.28/44.48    0 calls to %EVAL
% 44.28/44.48    0 page faults and
% 44.28/44.48    3,478,216,600 bytes consed.
% 44.28/44.48  :PROOF-FOUND
% 44.28/44.48  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T16:48:28
% 44.28/44.48  :PROOF-FOUND
% 44.28/44.48  * 
%------------------------------------------------------------------------------