TSTP Solution File: NUM309+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM309+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n017.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  : 300s
% DateTime : Wed May  1 03:28:24 EDT 2024

% Result   : Theorem 0.61s 0.83s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   61 (  28 unt;   0 def)
%            Number of atoms       :  182 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  234 ( 113   ~;  94   |;  20   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   6 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :  179 ( 177   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f936,plain,
    $false,
    inference(subsumption_resolution,[],[f486,f935]) ).

fof(f935,plain,
    ! [X0] : ~ rdn_translate(X0,rdn_pos(rdn(rdnn(n1),rdnn(n1)))),
    inference(subsumption_resolution,[],[f934,f731]) ).

fof(f731,plain,
    rdn_non_zero_digit(rdnn(n1)),
    inference(cnf_transformation,[],[f257]) ).

fof(f257,axiom,
    rdn_non_zero_digit(rdnn(n1)),
    file('/export/starexec/sandbox2/tmp/tmp.N66MMScO9T/Vampire---4.8_30131',rdn_digit1) ).

fof(f934,plain,
    ! [X0] :
      ( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(n1),rdnn(n1))))
      | ~ rdn_non_zero_digit(rdnn(n1)) ),
    inference(resolution,[],[f932,f753]) ).

fof(f753,plain,
    ! [X0] :
      ( rdn_non_zero(rdnn(X0))
      | ~ rdn_non_zero_digit(rdnn(X0)) ),
    inference(cnf_transformation,[],[f432]) ).

fof(f432,plain,
    ! [X0] :
      ( rdn_non_zero(rdnn(X0))
      | ~ rdn_non_zero_digit(rdnn(X0)) ),
    inference(ennf_transformation,[],[f279]) ).

fof(f279,axiom,
    ! [X0] :
      ( rdn_non_zero_digit(rdnn(X0))
     => rdn_non_zero(rdnn(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.N66MMScO9T/Vampire---4.8_30131',rdn_non_zero_by_digit) ).

fof(f932,plain,
    ! [X0] :
      ( ~ rdn_non_zero(rdnn(n1))
      | ~ rdn_translate(X0,rdn_pos(rdn(rdnn(n1),rdnn(n1)))) ),
    inference(resolution,[],[f931,f800]) ).

fof(f800,plain,
    rdn_digit_add(rdnn(n2),rdnn(n1),rdnn(n3),rdnn(n0)),
    inference(cnf_transformation,[],[f323]) ).

fof(f323,axiom,
    rdn_digit_add(rdnn(n2),rdnn(n1),rdnn(n3),rdnn(n0)),
    file('/export/starexec/sandbox2/tmp/tmp.N66MMScO9T/Vampire---4.8_30131',rdn_digit_add_n2_n1_n3_n0) ).

fof(f931,plain,
    ! [X0,X1] :
      ( ~ rdn_digit_add(rdnn(n2),rdnn(X1),rdnn(n3),rdnn(n0))
      | ~ rdn_non_zero(rdnn(X1))
      | ~ rdn_translate(X0,rdn_pos(rdn(rdnn(n1),rdnn(X1)))) ),
    inference(resolution,[],[f929,f809]) ).

fof(f809,plain,
    rdn_digit_add(rdnn(n3),rdnn(n0),rdnn(n3),rdnn(n0)),
    inference(cnf_transformation,[],[f332]) ).

fof(f332,axiom,
    rdn_digit_add(rdnn(n3),rdnn(n0),rdnn(n3),rdnn(n0)),
    file('/export/starexec/sandbox2/tmp/tmp.N66MMScO9T/Vampire---4.8_30131',rdn_digit_add_n3_n0_n3_n0) ).

fof(f929,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_digit_add(rdnn(X2),rdnn(n0),rdnn(n3),rdnn(n0))
      | ~ rdn_translate(X1,rdn_pos(rdn(rdnn(n1),rdnn(X0))))
      | ~ rdn_non_zero(rdnn(X0))
      | ~ rdn_digit_add(rdnn(n2),rdnn(X0),rdnn(X2),rdnn(n0)) ),
    inference(resolution,[],[f918,f774]) ).

fof(f774,plain,
    ! [X2,X3,X0,X1,X4] :
      ( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
      | ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0)) ),
    inference(cnf_transformation,[],[f463]) ).

fof(f463,plain,
    ! [X0,X1,X2,X3,X4] :
      ( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
      | ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0)) ),
    inference(flattening,[],[f462]) ).

fof(f462,plain,
    ! [X0,X1,X2,X3,X4] :
      ( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
      | ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0)) ),
    inference(ennf_transformation,[],[f420]) ).

fof(f420,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0))
        & rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0)) )
     => rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3)) ),
    inference(rectify,[],[f297]) ).

fof(f297,axiom,
    ! [X20,X21,X22,X23,X24] :
      ( ( rdn_digit_add(rdnn(X24),rdnn(X20),rdnn(X23),rdnn(n0))
        & rdn_digit_add(rdnn(X21),rdnn(X22),rdnn(X24),rdnn(n0)) )
     => rdn_add_with_carry(rdnn(X20),rdnn(X21),rdnn(X22),rdnn(X23)) ),
    file('/export/starexec/sandbox2/tmp/tmp.N66MMScO9T/Vampire---4.8_30131',add_digit_digit_digit) ).

fof(f918,plain,
    ! [X0,X1] :
      ( ~ rdn_add_with_carry(rdnn(n0),rdnn(n2),X0,rdnn(n3))
      | ~ rdn_non_zero(X0)
      | ~ rdn_translate(X1,rdn_pos(rdn(rdnn(n1),X0))) ),
    inference(resolution,[],[f917,f779]) ).

fof(f779,plain,
    rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
    inference(cnf_transformation,[],[f302]) ).

fof(f302,axiom,
    rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
    file('/export/starexec/sandbox2/tmp/tmp.N66MMScO9T/Vampire---4.8_30131',rdn_digit_add_n0_n0_n0_n0) ).

fof(f917,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(X0),rdnn(n0))
      | ~ rdn_add_with_carry(rdnn(X0),rdnn(n2),X1,rdnn(n3))
      | ~ rdn_non_zero(X1)
      | ~ rdn_translate(X2,rdn_pos(rdn(rdnn(n1),X1))) ),
    inference(resolution,[],[f915,f810]) ).

fof(f810,plain,
    rdn_digit_add(rdnn(n3),rdnn(n1),rdnn(n4),rdnn(n0)),
    inference(cnf_transformation,[],[f333]) ).

fof(f333,axiom,
    rdn_digit_add(rdnn(n3),rdnn(n1),rdnn(n4),rdnn(n0)),
    file('/export/starexec/sandbox2/tmp/tmp.N66MMScO9T/Vampire---4.8_30131',rdn_digit_add_n3_n1_n4_n0) ).

fof(f915,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ rdn_digit_add(rdnn(n3),rdnn(X1),rdnn(n4),rdnn(X4))
      | ~ rdn_add_with_carry(rdnn(X3),rdnn(n2),X2,rdnn(n3))
      | ~ rdn_digit_add(rdnn(X4),rdnn(n0),rdnn(X3),rdnn(n0))
      | ~ rdn_non_zero(X2)
      | ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2))) ),
    inference(resolution,[],[f909,f819]) ).

fof(f819,plain,
    rdn_digit_add(rdnn(n4),rdnn(n0),rdnn(n4),rdnn(n0)),
    inference(cnf_transformation,[],[f342]) ).

fof(f342,axiom,
    rdn_digit_add(rdnn(n4),rdnn(n0),rdnn(n4),rdnn(n0)),
    file('/export/starexec/sandbox2/tmp/tmp.N66MMScO9T/Vampire---4.8_30131',rdn_digit_add_n4_n0_n4_n0) ).

fof(f909,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ rdn_digit_add(rdnn(X6),rdnn(n0),rdnn(n4),rdnn(X5))
      | ~ rdn_translate(X1,rdn_pos(rdn(rdnn(X2),X0)))
      | ~ rdn_add_with_carry(rdnn(X3),rdnn(n2),X0,rdnn(n3))
      | ~ rdn_digit_add(rdnn(X4),rdnn(X5),rdnn(X3),rdnn(n0))
      | ~ rdn_non_zero(X0)
      | ~ rdn_digit_add(rdnn(n3),rdnn(X2),rdnn(X6),rdnn(X4)) ),
    inference(subsumption_resolution,[],[f908,f732]) ).

fof(f732,plain,
    rdn_non_zero_digit(rdnn(n2)),
    inference(cnf_transformation,[],[f258]) ).

fof(f258,axiom,
    rdn_non_zero_digit(rdnn(n2)),
    file('/export/starexec/sandbox2/tmp/tmp.N66MMScO9T/Vampire---4.8_30131',rdn_digit2) ).

fof(f908,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ rdn_non_zero(X0)
      | ~ rdn_translate(X1,rdn_pos(rdn(rdnn(X2),X0)))
      | ~ rdn_add_with_carry(rdnn(X3),rdnn(n2),X0,rdnn(n3))
      | ~ rdn_digit_add(rdnn(X4),rdnn(X5),rdnn(X3),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X6),rdnn(n0),rdnn(n4),rdnn(X5))
      | ~ rdn_digit_add(rdnn(n3),rdnn(X2),rdnn(X6),rdnn(X4))
      | ~ rdn_non_zero_digit(rdnn(n2)) ),
    inference(resolution,[],[f900,f753]) ).

fof(f900,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ rdn_non_zero(rdnn(n2))
      | ~ rdn_non_zero(X2)
      | ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2)))
      | ~ rdn_add_with_carry(rdnn(X3),rdnn(n2),X2,rdnn(n3))
      | ~ rdn_digit_add(rdnn(X4),rdnn(X5),rdnn(X3),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X6),rdnn(n0),rdnn(n4),rdnn(X5))
      | ~ rdn_digit_add(rdnn(n3),rdnn(X1),rdnn(X6),rdnn(X4)) ),
    inference(subsumption_resolution,[],[f899,f733]) ).

fof(f733,plain,
    rdn_non_zero_digit(rdnn(n3)),
    inference(cnf_transformation,[],[f259]) ).

fof(f259,axiom,
    rdn_non_zero_digit(rdnn(n3)),
    file('/export/starexec/sandbox2/tmp/tmp.N66MMScO9T/Vampire---4.8_30131',rdn_digit3) ).

fof(f899,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2)))
      | ~ rdn_non_zero(X2)
      | ~ rdn_non_zero(rdnn(n2))
      | ~ rdn_add_with_carry(rdnn(X3),rdnn(n2),X2,rdnn(n3))
      | ~ rdn_digit_add(rdnn(X4),rdnn(X5),rdnn(X3),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X6),rdnn(n0),rdnn(n4),rdnn(X5))
      | ~ rdn_digit_add(rdnn(n3),rdnn(X1),rdnn(X6),rdnn(X4))
      | ~ rdn_non_zero_digit(rdnn(n3)) ),
    inference(resolution,[],[f890,f753]) ).

fof(f890,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ rdn_non_zero(rdnn(n3))
      | ~ rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2)))
      | ~ rdn_non_zero(X2)
      | ~ rdn_non_zero(rdnn(n2))
      | ~ rdn_add_with_carry(rdnn(X3),rdnn(n2),X2,rdnn(n3))
      | ~ rdn_digit_add(rdnn(X4),rdnn(X5),rdnn(X3),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X6),rdnn(n0),rdnn(n4),rdnn(X5))
      | ~ rdn_digit_add(rdnn(n3),rdnn(X1),rdnn(X6),rdnn(X4)) ),
    inference(resolution,[],[f888,f777]) ).

fof(f777,plain,
    ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( rdn_add_with_carry(rdnn(X0),rdn(rdnn(X1),X2),rdn(rdnn(X3),X4),rdn(rdnn(X5),X6))
      | ~ rdn_non_zero(X6)
      | ~ rdn_non_zero(X4)
      | ~ rdn_non_zero(X2)
      | ~ rdn_add_with_carry(rdnn(X10),X2,X4,X6)
      | ~ rdn_digit_add(rdnn(X8),rdnn(X9),rdnn(X10),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X7),rdnn(X0),rdnn(X5),rdnn(X9))
      | ~ rdn_digit_add(rdnn(X1),rdnn(X3),rdnn(X7),rdnn(X8)) ),
    inference(cnf_transformation,[],[f469]) ).

fof(f469,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( rdn_add_with_carry(rdnn(X0),rdn(rdnn(X1),X2),rdn(rdnn(X3),X4),rdn(rdnn(X5),X6))
      | ~ rdn_non_zero(X6)
      | ~ rdn_non_zero(X4)
      | ~ rdn_non_zero(X2)
      | ~ rdn_add_with_carry(rdnn(X10),X2,X4,X6)
      | ~ rdn_digit_add(rdnn(X8),rdnn(X9),rdnn(X10),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X7),rdnn(X0),rdnn(X5),rdnn(X9))
      | ~ rdn_digit_add(rdnn(X1),rdnn(X3),rdnn(X7),rdnn(X8)) ),
    inference(flattening,[],[f468]) ).

fof(f468,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( rdn_add_with_carry(rdnn(X0),rdn(rdnn(X1),X2),rdn(rdnn(X3),X4),rdn(rdnn(X5),X6))
      | ~ rdn_non_zero(X6)
      | ~ rdn_non_zero(X4)
      | ~ rdn_non_zero(X2)
      | ~ rdn_add_with_carry(rdnn(X10),X2,X4,X6)
      | ~ rdn_digit_add(rdnn(X8),rdnn(X9),rdnn(X10),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X7),rdnn(X0),rdnn(X5),rdnn(X9))
      | ~ rdn_digit_add(rdnn(X1),rdnn(X3),rdnn(X7),rdnn(X8)) ),
    inference(ennf_transformation,[],[f423]) ).

fof(f423,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ( rdn_non_zero(X6)
        & rdn_non_zero(X4)
        & rdn_non_zero(X2)
        & rdn_add_with_carry(rdnn(X10),X2,X4,X6)
        & rdn_digit_add(rdnn(X8),rdnn(X9),rdnn(X10),rdnn(n0))
        & rdn_digit_add(rdnn(X7),rdnn(X0),rdnn(X5),rdnn(X9))
        & rdn_digit_add(rdnn(X1),rdnn(X3),rdnn(X7),rdnn(X8)) )
     => rdn_add_with_carry(rdnn(X0),rdn(rdnn(X1),X2),rdn(rdnn(X3),X4),rdn(rdnn(X5),X6)) ),
    inference(rectify,[],[f300]) ).

fof(f300,axiom,
    ! [X20,X21,X30,X22,X27,X23,X28,X24,X25,X26,X31] :
      ( ( rdn_non_zero(X28)
        & rdn_non_zero(X27)
        & rdn_non_zero(X30)
        & rdn_add_with_carry(rdnn(X31),X30,X27,X28)
        & rdn_digit_add(rdnn(X25),rdnn(X26),rdnn(X31),rdnn(n0))
        & rdn_digit_add(rdnn(X24),rdnn(X20),rdnn(X23),rdnn(X26))
        & rdn_digit_add(rdnn(X21),rdnn(X22),rdnn(X24),rdnn(X25)) )
     => rdn_add_with_carry(rdnn(X20),rdn(rdnn(X21),X30),rdn(rdnn(X22),X27),rdn(rdnn(X23),X28)) ),
    file('/export/starexec/sandbox2/tmp/tmp.N66MMScO9T/Vampire---4.8_30131',add_rdn_rdn_rdn) ).

fof(f888,plain,
    ! [X0,X1] :
      ( ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n3),rdnn(n2)),X1,rdn(rdnn(n4),rdnn(n3)))
      | ~ rdn_translate(X0,rdn_pos(X1)) ),
    inference(resolution,[],[f887,f498]) ).

fof(f498,plain,
    rdn_translate(n23,rdn_pos(rdn(rdnn(n3),rdnn(n2)))),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,axiom,
    rdn_translate(n23,rdn_pos(rdn(rdnn(n3),rdnn(n2)))),
    file('/export/starexec/sandbox2/tmp/tmp.N66MMScO9T/Vampire---4.8_30131',rdn23) ).

fof(f887,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_translate(n23,rdn_pos(X0))
      | ~ rdn_translate(X2,rdn_pos(X1))
      | ~ rdn_add_with_carry(rdnn(n0),X0,X1,rdn(rdnn(n4),rdnn(n3))) ),
    inference(resolution,[],[f885,f509]) ).

fof(f509,plain,
    rdn_translate(n34,rdn_pos(rdn(rdnn(n4),rdnn(n3)))),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,axiom,
    rdn_translate(n34,rdn_pos(rdn(rdnn(n4),rdnn(n3)))),
    file('/export/starexec/sandbox2/tmp/tmp.N66MMScO9T/Vampire---4.8_30131',rdn34) ).

fof(f885,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rdn_translate(n34,rdn_pos(X0))
      | ~ rdn_add_with_carry(rdnn(n0),X1,X2,X0)
      | ~ rdn_translate(X3,rdn_pos(X2))
      | ~ rdn_translate(n23,rdn_pos(X1)) ),
    inference(resolution,[],[f879,f763]) ).

fof(f763,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( sum(X0,X1,X2)
      | ~ rdn_translate(X2,rdn_pos(X5))
      | ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
      | ~ rdn_translate(X1,rdn_pos(X4))
      | ~ rdn_translate(X0,rdn_pos(X3)) ),
    inference(cnf_transformation,[],[f445]) ).

fof(f445,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( sum(X0,X1,X2)
      | ~ rdn_translate(X2,rdn_pos(X5))
      | ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
      | ~ rdn_translate(X1,rdn_pos(X4))
      | ~ rdn_translate(X0,rdn_pos(X3)) ),
    inference(flattening,[],[f444]) ).

fof(f444,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( sum(X0,X1,X2)
      | ~ rdn_translate(X2,rdn_pos(X5))
      | ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
      | ~ rdn_translate(X1,rdn_pos(X4))
      | ~ rdn_translate(X0,rdn_pos(X3)) ),
    inference(ennf_transformation,[],[f411]) ).

fof(f411,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( rdn_translate(X2,rdn_pos(X5))
        & rdn_add_with_carry(rdnn(n0),X3,X4,X5)
        & rdn_translate(X1,rdn_pos(X4))
        & rdn_translate(X0,rdn_pos(X3)) )
     => sum(X0,X1,X2) ),
    inference(rectify,[],[f287]) ).

fof(f287,axiom,
    ! [X0,X1,X2,X9,X10,X11] :
      ( ( rdn_translate(X2,rdn_pos(X11))
        & rdn_add_with_carry(rdnn(n0),X9,X10,X11)
        & rdn_translate(X1,rdn_pos(X10))
        & rdn_translate(X0,rdn_pos(X9)) )
     => sum(X0,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.N66MMScO9T/Vampire---4.8_30131',sum_entry_point_pos_pos) ).

fof(f879,plain,
    ! [X0] : ~ sum(n23,X0,n34),
    inference(cnf_transformation,[],[f471]) ).

fof(f471,plain,
    ! [X0] : ~ sum(n23,X0,n34),
    inference(ennf_transformation,[],[f403]) ).

fof(f403,negated_conjecture,
    ~ ? [X0] : sum(n23,X0,n34),
    inference(negated_conjecture,[],[f402]) ).

fof(f402,conjecture,
    ? [X0] : sum(n23,X0,n34),
    file('/export/starexec/sandbox2/tmp/tmp.N66MMScO9T/Vampire---4.8_30131',sum_n23_something_n34) ).

fof(f486,plain,
    rdn_translate(n11,rdn_pos(rdn(rdnn(n1),rdnn(n1)))),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,axiom,
    rdn_translate(n11,rdn_pos(rdn(rdnn(n1),rdnn(n1)))),
    file('/export/starexec/sandbox2/tmp/tmp.N66MMScO9T/Vampire---4.8_30131',rdn11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : NUM309+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36  % Computer : n017.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 16:28:49 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.N66MMScO9T/Vampire---4.8_30131
% 0.61/0.81  % (30318)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.81  % (30315)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.81  % (30313)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.81  % (30316)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.81  % (30314)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.61/0.81  % (30317)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.81  % (30319)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.61/0.81  % (30320)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.61/0.81  % (30315)Refutation not found, incomplete strategy% (30315)------------------------------
% 0.61/0.81  % (30315)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (30316)Refutation not found, incomplete strategy% (30316)------------------------------
% 0.61/0.81  % (30316)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (30316)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (30316)Memory used [KB]: 1274
% 0.61/0.81  % (30316)Time elapsed: 0.004 s
% 0.61/0.81  % (30316)Instructions burned: 4 (million)
% 0.61/0.81  % (30316)------------------------------
% 0.61/0.81  % (30316)------------------------------
% 0.61/0.81  % (30315)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  % (30318)Refutation not found, incomplete strategy% (30318)------------------------------
% 0.61/0.81  % (30318)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (30318)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (30318)Memory used [KB]: 1282
% 0.61/0.81  % (30318)Time elapsed: 0.004 s
% 0.61/0.81  % (30318)Instructions burned: 4 (million)
% 0.61/0.81  % (30318)------------------------------
% 0.61/0.81  % (30318)------------------------------
% 0.61/0.81  
% 0.61/0.81  % (30315)Memory used [KB]: 1279
% 0.61/0.81  % (30315)Time elapsed: 0.004 s
% 0.61/0.81  % (30315)Instructions burned: 4 (million)
% 0.61/0.81  % (30315)------------------------------
% 0.61/0.81  % (30315)------------------------------
% 0.61/0.81  % (30320)Refutation not found, incomplete strategy% (30320)------------------------------
% 0.61/0.81  % (30320)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (30320)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (30320)Memory used [KB]: 1279
% 0.61/0.81  % (30320)Time elapsed: 0.004 s
% 0.61/0.81  % (30320)Instructions burned: 4 (million)
% 0.61/0.81  % (30320)------------------------------
% 0.61/0.81  % (30320)------------------------------
% 0.61/0.81  % (30313)Refutation not found, incomplete strategy% (30313)------------------------------
% 0.61/0.81  % (30313)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (30313)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (30313)Memory used [KB]: 1280
% 0.61/0.81  % (30313)Time elapsed: 0.004 s
% 0.61/0.81  % (30313)Instructions burned: 5 (million)
% 0.61/0.81  % (30313)------------------------------
% 0.61/0.81  % (30313)------------------------------
% 0.61/0.82  % (30321)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.61/0.82  % (30325)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.61/0.82  % (30323)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.61/0.82  % (30322)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.61/0.82  % (30324)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.61/0.82  % (30321)Refutation not found, incomplete strategy% (30321)------------------------------
% 0.61/0.82  % (30321)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (30321)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  % (30321)Memory used [KB]: 1271
% 0.61/0.82  % (30321)Time elapsed: 0.003 s
% 0.61/0.82  % (30321)Instructions burned: 3 (million)
% 0.61/0.82  % (30321)------------------------------
% 0.61/0.82  % (30321)------------------------------
% 0.61/0.82  % (30319)Refutation not found, incomplete strategy% (30319)------------------------------
% 0.61/0.82  % (30319)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (30319)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  % (30319)Memory used [KB]: 1357
% 0.61/0.82  % (30319)Time elapsed: 0.010 s
% 0.61/0.82  % (30319)Instructions burned: 16 (million)
% 0.61/0.82  % (30319)------------------------------
% 0.61/0.82  % (30319)------------------------------
% 0.61/0.82  % (30323)Refutation not found, incomplete strategy% (30323)------------------------------
% 0.61/0.82  % (30323)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (30323)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  % (30323)Memory used [KB]: 1270
% 0.61/0.82  % (30323)Time elapsed: 0.004 s
% 0.61/0.82  % (30323)Instructions burned: 4 (million)
% 0.61/0.82  % (30323)------------------------------
% 0.61/0.82  % (30323)------------------------------
% 0.61/0.82  % (30317)Refutation not found, incomplete strategy% (30317)------------------------------
% 0.61/0.82  % (30317)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (30317)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  % (30317)Memory used [KB]: 1436
% 0.61/0.82  % (30325)Refutation not found, incomplete strategy% (30325)------------------------------
% 0.61/0.82  % (30325)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (30317)Time elapsed: 0.012 s
% 0.61/0.82  % (30317)Instructions burned: 22 (million)
% 0.61/0.82  % (30317)------------------------------
% 0.61/0.82  % (30317)------------------------------
% 0.61/0.82  % (30325)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  % (30325)Memory used [KB]: 1343
% 0.61/0.82  % (30325)Time elapsed: 0.005 s
% 0.61/0.82  % (30325)Instructions burned: 8 (million)
% 0.61/0.82  % (30325)------------------------------
% 0.61/0.82  % (30325)------------------------------
% 0.61/0.82  % (30326)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.61/0.82  % (30327)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.61/0.82  % (30328)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.61/0.83  % (30329)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.61/0.83  % (30328)Refutation not found, incomplete strategy% (30328)------------------------------
% 0.61/0.83  % (30328)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83  % (30328)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83  
% 0.61/0.83  % (30328)Memory used [KB]: 1274
% 0.61/0.83  % (30328)Time elapsed: 0.003 s
% 0.61/0.83  % (30328)Instructions burned: 4 (million)
% 0.61/0.83  % (30328)------------------------------
% 0.61/0.83  % (30328)------------------------------
% 0.61/0.83  % (30330)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.61/0.83  % (30322)First to succeed.
% 0.61/0.83  % (30332)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.61/0.83  % (30327)Refutation not found, incomplete strategy% (30327)------------------------------
% 0.61/0.83  % (30327)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83  % (30327)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83  
% 0.61/0.83  % (30327)Memory used [KB]: 1364
% 0.61/0.83  % (30327)Time elapsed: 0.008 s
% 0.61/0.83  % (30327)Instructions burned: 13 (million)
% 0.61/0.83  % (30327)------------------------------
% 0.61/0.83  % (30327)------------------------------
% 0.61/0.83  % (30322)Refutation found. Thanks to Tanya!
% 0.61/0.83  % SZS status Theorem for Vampire---4
% 0.61/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.83  % (30322)------------------------------
% 0.61/0.83  % (30322)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83  % (30322)Termination reason: Refutation
% 0.61/0.83  
% 0.61/0.83  % (30322)Memory used [KB]: 1555
% 0.61/0.83  % (30322)Time elapsed: 0.015 s
% 0.61/0.83  % (30322)Instructions burned: 26 (million)
% 0.61/0.83  % (30322)------------------------------
% 0.61/0.83  % (30322)------------------------------
% 0.61/0.83  % (30267)Success in time 0.462 s
% 0.61/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------