TSTP Solution File: NUM306+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM306+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n018.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 Aug 31 17:58:04 EDT 2022

% Result   : Theorem 2.49s 0.79s
% Output   : Refutation 2.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   64 (  29 unt;   0 def)
%            Number of atoms       :  194 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  252 ( 122   ~; 103   |;  20   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :  182 ( 182   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f935,plain,
    $false,
    inference(subsumption_resolution,[],[f934,f650]) ).

fof(f650,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/benchmark/theBenchmark.p',rdn_digit_add_n0_n0_n0_n0) ).

fof(f934,plain,
    ~ rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
    inference(resolution,[],[f933,f775]) ).

fof(f775,plain,
    rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
    inference(cnf_transformation,[],[f372]) ).

fof(f372,axiom,
    rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n7_n0_n7_n0) ).

fof(f933,plain,
    ! [X0] :
      ( ~ rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(X0))
      | ~ rdn_digit_add(rdnn(n0),rdnn(X0),rdnn(n0),rdnn(n0)) ),
    inference(resolution,[],[f932,f559]) ).

fof(f559,plain,
    rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(n7),rdnn(n0)),
    inference(cnf_transformation,[],[f336]) ).

fof(f336,axiom,
    rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(n7),rdnn(n0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n3_n4_n7_n0) ).

fof(f932,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X2),rdnn(X0))
      | ~ rdn_digit_add(rdnn(X2),rdnn(n0),rdnn(n7),rdnn(X1))
      | ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(n0),rdnn(n0)) ),
    inference(resolution,[],[f931,f570]) ).

fof(f570,plain,
    rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
    inference(cnf_transformation,[],[f352]) ).

fof(f352,axiom,
    rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n5_n0_n5_n0) ).

fof(f931,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rdn_digit_add(rdnn(n5),rdnn(X3),rdnn(n5),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
      | ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X0),rdnn(X1))
      | ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(n7),rdnn(X2)) ),
    inference(resolution,[],[f930,f761]) ).

fof(f761,plain,
    rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
    inference(cnf_transformation,[],[f325]) ).

fof(f325,axiom,
    rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n2_n3_n5_n0) ).

fof(f930,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(X4),rdnn(n0))
      | ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X3),rdnn(X0))
      | ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X4),rdnn(X2),rdnn(n5),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X3),rdnn(n0),rdnn(n7),rdnn(X1)) ),
    inference(resolution,[],[f929,f631]) ).

fof(f631,plain,
    ! [X2,X3,X0,X1,X4] :
      ( rdn_add_with_carry(rdnn(X3),rdnn(X1),rdnn(X4),rdnn(X0))
      | ~ rdn_digit_add(rdnn(X1),rdnn(X4),rdnn(X2),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X2),rdnn(X3),rdnn(X0),rdnn(n0)) ),
    inference(cnf_transformation,[],[f483]) ).

fof(f483,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ rdn_digit_add(rdnn(X1),rdnn(X4),rdnn(X2),rdnn(n0))
      | rdn_add_with_carry(rdnn(X3),rdnn(X1),rdnn(X4),rdnn(X0))
      | ~ rdn_digit_add(rdnn(X2),rdnn(X3),rdnn(X0),rdnn(n0)) ),
    inference(rectify,[],[f436]) ).

fof(f436,plain,
    ! [X1,X0,X2,X3,X4] :
      ( ~ rdn_digit_add(rdnn(X0),rdnn(X4),rdnn(X2),rdnn(n0))
      | rdn_add_with_carry(rdnn(X3),rdnn(X0),rdnn(X4),rdnn(X1))
      | ~ rdn_digit_add(rdnn(X2),rdnn(X3),rdnn(X1),rdnn(n0)) ),
    inference(flattening,[],[f435]) ).

fof(f435,plain,
    ! [X0,X2,X4,X1,X3] :
      ( rdn_add_with_carry(rdnn(X3),rdnn(X0),rdnn(X4),rdnn(X1))
      | ~ rdn_digit_add(rdnn(X0),rdnn(X4),rdnn(X2),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X2),rdnn(X3),rdnn(X1),rdnn(n0)) ),
    inference(ennf_transformation,[],[f407]) ).

fof(f407,plain,
    ! [X0,X2,X4,X1,X3] :
      ( ( rdn_digit_add(rdnn(X0),rdnn(X4),rdnn(X2),rdnn(n0))
        & rdn_digit_add(rdnn(X2),rdnn(X3),rdnn(X1),rdnn(n0)) )
     => rdn_add_with_carry(rdnn(X3),rdnn(X0),rdnn(X4),rdnn(X1)) ),
    inference(rectify,[],[f297]) ).

fof(f297,axiom,
    ! [X21,X23,X24,X20,X22] :
      ( ( rdn_digit_add(rdnn(X21),rdnn(X22),rdnn(X24),rdnn(n0))
        & rdn_digit_add(rdnn(X24),rdnn(X20),rdnn(X23),rdnn(n0)) )
     => rdn_add_with_carry(rdnn(X20),rdnn(X21),rdnn(X22),rdnn(X23)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_digit_digit_digit) ).

fof(f929,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rdn_add_with_carry(rdnn(X3),rdnn(n2),rdnn(n3),rdnn(n5))
      | ~ rdn_digit_add(rdnn(X2),rdnn(X1),rdnn(X3),rdnn(n0))
      | ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X0),rdnn(X2))
      | ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(n7),rdnn(X1)) ),
    inference(subsumption_resolution,[],[f928,f875]) ).

fof(f875,plain,
    rdn_non_zero_digit(rdnn(n2)),
    inference(cnf_transformation,[],[f258]) ).

fof(f258,axiom,
    rdn_non_zero_digit(rdnn(n2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit2) ).

fof(f928,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rdn_add_with_carry(rdnn(X3),rdnn(n2),rdnn(n3),rdnn(n5))
      | ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X0),rdnn(X2))
      | ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(n7),rdnn(X1))
      | ~ rdn_non_zero_digit(rdnn(n2))
      | ~ rdn_digit_add(rdnn(X2),rdnn(X1),rdnn(X3),rdnn(n0)) ),
    inference(resolution,[],[f927,f799]) ).

fof(f799,plain,
    ! [X0] :
      ( ~ rdn_non_zero_digit(rdnn(X0))
      | rdn_non_zero(rdnn(X0)) ),
    inference(cnf_transformation,[],[f431]) ).

fof(f431,plain,
    ! [X0] :
      ( ~ rdn_non_zero_digit(rdnn(X0))
      | rdn_non_zero(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/benchmark/theBenchmark.p',rdn_non_zero_by_digit) ).

fof(f927,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rdn_non_zero(rdnn(n2))
      | ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(n7),rdnn(X2))
      | ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X0),rdnn(X1))
      | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
      | ~ rdn_add_with_carry(rdnn(X3),rdnn(n2),rdnn(n3),rdnn(n5)) ),
    inference(subsumption_resolution,[],[f926,f838]) ).

fof(f838,plain,
    rdn_non_zero_digit(rdnn(n3)),
    inference(cnf_transformation,[],[f259]) ).

fof(f259,axiom,
    rdn_non_zero_digit(rdnn(n3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit3) ).

fof(f926,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rdn_add_with_carry(rdnn(X3),rdnn(n2),rdnn(n3),rdnn(n5))
      | ~ rdn_non_zero(rdnn(n2))
      | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
      | ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X0),rdnn(X1))
      | ~ rdn_non_zero_digit(rdnn(n3))
      | ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(n7),rdnn(X2)) ),
    inference(resolution,[],[f925,f799]) ).

fof(f925,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rdn_non_zero(rdnn(n3))
      | ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X1),rdnn(X3))
      | ~ rdn_digit_add(rdnn(X1),rdnn(n0),rdnn(n7),rdnn(X2))
      | ~ rdn_digit_add(rdnn(X3),rdnn(X2),rdnn(X0),rdnn(n0))
      | ~ rdn_non_zero(rdnn(n2))
      | ~ rdn_add_with_carry(rdnn(X0),rdnn(n2),rdnn(n3),rdnn(n5)) ),
    inference(subsumption_resolution,[],[f924,f750]) ).

fof(f750,plain,
    rdn_non_zero_digit(rdnn(n5)),
    inference(cnf_transformation,[],[f261]) ).

fof(f261,axiom,
    rdn_non_zero_digit(rdnn(n5)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit5) ).

fof(f924,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rdn_add_with_carry(rdnn(X0),rdnn(n2),rdnn(n3),rdnn(n5))
      | ~ rdn_digit_add(rdnn(X3),rdnn(X2),rdnn(X0),rdnn(n0))
      | ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X1),rdnn(X3))
      | ~ rdn_non_zero_digit(rdnn(n5))
      | ~ rdn_non_zero(rdnn(n2))
      | ~ rdn_digit_add(rdnn(X1),rdnn(n0),rdnn(n7),rdnn(X2))
      | ~ rdn_non_zero(rdnn(n3)) ),
    inference(resolution,[],[f916,f799]) ).

fof(f916,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rdn_non_zero(rdnn(n5))
      | ~ rdn_add_with_carry(rdnn(X2),rdnn(n2),rdnn(n3),rdnn(n5))
      | ~ rdn_digit_add(rdnn(X3),rdnn(n0),rdnn(n7),rdnn(X1))
      | ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(n0))
      | ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X3),rdnn(X0))
      | ~ rdn_non_zero(rdnn(n3))
      | ~ rdn_non_zero(rdnn(n2)) ),
    inference(resolution,[],[f915,f564]) ).

fof(f564,plain,
    ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ rdn_non_zero(X9)
      | rdn_add_with_carry(rdnn(X2),rdn(rdnn(X4),X9),rdn(rdnn(X10),X0),rdn(rdnn(X1),X3))
      | ~ rdn_digit_add(rdnn(X5),rdnn(X6),rdnn(X8),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X4),rdnn(X10),rdnn(X7),rdnn(X5))
      | ~ rdn_non_zero(X3)
      | ~ rdn_non_zero(X0)
      | ~ rdn_digit_add(rdnn(X7),rdnn(X2),rdnn(X1),rdnn(X6))
      | ~ rdn_add_with_carry(rdnn(X8),X9,X0,X3) ),
    inference(cnf_transformation,[],[f477]) ).

fof(f477,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( ~ rdn_digit_add(rdnn(X7),rdnn(X2),rdnn(X1),rdnn(X6))
      | ~ rdn_add_with_carry(rdnn(X8),X9,X0,X3)
      | rdn_add_with_carry(rdnn(X2),rdn(rdnn(X4),X9),rdn(rdnn(X10),X0),rdn(rdnn(X1),X3))
      | ~ rdn_non_zero(X9)
      | ~ rdn_non_zero(X3)
      | ~ rdn_non_zero(X0)
      | ~ rdn_digit_add(rdnn(X4),rdnn(X10),rdnn(X7),rdnn(X5))
      | ~ rdn_digit_add(rdnn(X5),rdnn(X6),rdnn(X8),rdnn(n0)) ),
    inference(rectify,[],[f459]) ).

fof(f459,plain,
    ! [X9,X6,X2,X4,X10,X7,X0,X1,X3,X5,X8] :
      ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X6),rdnn(X0))
      | ~ rdn_add_with_carry(rdnn(X3),X5,X9,X4)
      | rdn_add_with_carry(rdnn(X2),rdn(rdnn(X10),X5),rdn(rdnn(X8),X9),rdn(rdnn(X6),X4))
      | ~ rdn_non_zero(X5)
      | ~ rdn_non_zero(X4)
      | ~ rdn_non_zero(X9)
      | ~ rdn_digit_add(rdnn(X10),rdnn(X8),rdnn(X1),rdnn(X7))
      | ~ rdn_digit_add(rdnn(X7),rdnn(X0),rdnn(X3),rdnn(n0)) ),
    inference(flattening,[],[f458]) ).

fof(f458,plain,
    ! [X9,X0,X5,X10,X3,X4,X1,X6,X8,X7,X2] :
      ( rdn_add_with_carry(rdnn(X2),rdn(rdnn(X10),X5),rdn(rdnn(X8),X9),rdn(rdnn(X6),X4))
      | ~ rdn_non_zero(X5)
      | ~ rdn_add_with_carry(rdnn(X3),X5,X9,X4)
      | ~ rdn_digit_add(rdnn(X7),rdnn(X0),rdnn(X3),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X6),rdnn(X0))
      | ~ rdn_non_zero(X9)
      | ~ rdn_digit_add(rdnn(X10),rdnn(X8),rdnn(X1),rdnn(X7))
      | ~ rdn_non_zero(X4) ),
    inference(ennf_transformation,[],[f428]) ).

fof(f428,plain,
    ! [X9,X0,X5,X10,X3,X4,X1,X6,X8,X7,X2] :
      ( ( rdn_non_zero(X5)
        & rdn_add_with_carry(rdnn(X3),X5,X9,X4)
        & rdn_digit_add(rdnn(X7),rdnn(X0),rdnn(X3),rdnn(n0))
        & rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X6),rdnn(X0))
        & rdn_non_zero(X9)
        & rdn_digit_add(rdnn(X10),rdnn(X8),rdnn(X1),rdnn(X7))
        & rdn_non_zero(X4) )
     => rdn_add_with_carry(rdnn(X2),rdn(rdnn(X10),X5),rdn(rdnn(X8),X9),rdn(rdnn(X6),X4)) ),
    inference(rectify,[],[f300]) ).

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

fof(f915,plain,
    ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n3),rdnn(n2)),rdn(rdnn(n4),rdnn(n3)),rdn(rdnn(n7),rdnn(n5))),
    inference(resolution,[],[f914,f858]) ).

fof(f858,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/benchmark/theBenchmark.p',rdn23) ).

fof(f914,plain,
    ! [X0] :
      ( ~ rdn_translate(n23,rdn_pos(X0))
      | ~ rdn_add_with_carry(rdnn(n0),X0,rdn(rdnn(n4),rdnn(n3)),rdn(rdnn(n7),rdnn(n5))) ),
    inference(resolution,[],[f913,f596]) ).

fof(f596,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/benchmark/theBenchmark.p',rdn34) ).

fof(f913,plain,
    ! [X0,X1] :
      ( ~ rdn_translate(n34,rdn_pos(X1))
      | ~ rdn_add_with_carry(rdnn(n0),X0,X1,rdn(rdnn(n7),rdnn(n5)))
      | ~ rdn_translate(n23,rdn_pos(X0)) ),
    inference(resolution,[],[f904,f579]) ).

fof(f579,plain,
    rdn_translate(n57,rdn_pos(rdn(rdnn(n7),rdnn(n5)))),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,axiom,
    rdn_translate(n57,rdn_pos(rdn(rdnn(n7),rdnn(n5)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn57) ).

fof(f904,plain,
    ! [X3,X4,X5] :
      ( ~ rdn_translate(n57,rdn_pos(X4))
      | ~ rdn_translate(n23,rdn_pos(X3))
      | ~ rdn_translate(n34,rdn_pos(X5))
      | ~ rdn_add_with_carry(rdnn(n0),X3,X5,X4) ),
    inference(resolution,[],[f654,f742]) ).

fof(f742,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ rdn_translate(X0,rdn_pos(X2))
      | ~ rdn_translate(X1,rdn_pos(X5))
      | sum(X0,X4,X1)
      | ~ rdn_translate(X4,rdn_pos(X3))
      | ~ rdn_add_with_carry(rdnn(n0),X2,X3,X5) ),
    inference(cnf_transformation,[],[f494]) ).

fof(f494,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ rdn_add_with_carry(rdnn(n0),X2,X3,X5)
      | ~ rdn_translate(X4,rdn_pos(X3))
      | ~ rdn_translate(X1,rdn_pos(X5))
      | sum(X0,X4,X1)
      | ~ rdn_translate(X0,rdn_pos(X2)) ),
    inference(rectify,[],[f443]) ).

fof(f443,plain,
    ! [X2,X5,X1,X3,X4,X0] :
      ( ~ rdn_add_with_carry(rdnn(n0),X1,X3,X0)
      | ~ rdn_translate(X4,rdn_pos(X3))
      | ~ rdn_translate(X5,rdn_pos(X0))
      | sum(X2,X4,X5)
      | ~ rdn_translate(X2,rdn_pos(X1)) ),
    inference(flattening,[],[f442]) ).

fof(f442,plain,
    ! [X4,X0,X1,X5,X3,X2] :
      ( sum(X2,X4,X5)
      | ~ rdn_translate(X4,rdn_pos(X3))
      | ~ rdn_translate(X2,rdn_pos(X1))
      | ~ rdn_add_with_carry(rdnn(n0),X1,X3,X0)
      | ~ rdn_translate(X5,rdn_pos(X0)) ),
    inference(ennf_transformation,[],[f420]) ).

fof(f420,plain,
    ! [X4,X0,X1,X5,X3,X2] :
      ( ( rdn_translate(X4,rdn_pos(X3))
        & rdn_translate(X2,rdn_pos(X1))
        & rdn_add_with_carry(rdnn(n0),X1,X3,X0)
        & rdn_translate(X5,rdn_pos(X0)) )
     => sum(X2,X4,X5) ),
    inference(rectify,[],[f287]) ).

fof(f287,axiom,
    ! [X11,X9,X0,X10,X1,X2] :
      ( ( rdn_translate(X2,rdn_pos(X11))
        & rdn_add_with_carry(rdnn(n0),X9,X10,X11)
        & rdn_translate(X0,rdn_pos(X9))
        & rdn_translate(X1,rdn_pos(X10)) )
     => sum(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_entry_point_pos_pos) ).

fof(f654,plain,
    ~ sum(n23,n34,n57),
    inference(cnf_transformation,[],[f405]) ).

fof(f405,plain,
    ~ sum(n23,n34,n57),
    inference(flattening,[],[f403]) ).

fof(f403,negated_conjecture,
    ~ sum(n23,n34,n57),
    inference(negated_conjecture,[],[f402]) ).

fof(f402,conjecture,
    sum(n23,n34,n57),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_n23_n34_n57) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM306+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 06:24:40 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.56  % (16991)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.57  % (16991)Refutation not found, incomplete strategy% (16991)------------------------------
% 0.21/0.57  % (16991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (16991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (16991)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.57  
% 0.21/0.57  % (16991)Memory used [KB]: 6268
% 0.21/0.57  % (16991)Time elapsed: 0.121 s
% 0.21/0.57  % (16991)Instructions burned: 6 (million)
% 0.21/0.57  % (16991)------------------------------
% 0.21/0.57  % (16991)------------------------------
% 0.21/0.57  % (17000)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.57  % (16999)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.57  % (17007)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.57  % (16992)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.58  % (16992)Refutation not found, incomplete strategy% (16992)------------------------------
% 0.21/0.58  % (16992)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (16992)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (16992)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.58  
% 0.21/0.58  % (16992)Memory used [KB]: 6268
% 0.21/0.58  % (16992)Time elapsed: 0.119 s
% 0.21/0.58  % (16992)Instructions burned: 4 (million)
% 0.21/0.58  % (16992)------------------------------
% 0.21/0.58  % (16992)------------------------------
% 0.21/0.58  % (16999)Instruction limit reached!
% 0.21/0.58  % (16999)------------------------------
% 0.21/0.58  % (16999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (16999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (16999)Termination reason: Unknown
% 0.21/0.58  % (16999)Termination phase: Preprocessing 3
% 0.21/0.58  
% 0.21/0.58  % (16999)Memory used [KB]: 1791
% 0.21/0.58  % (16999)Time elapsed: 0.006 s
% 0.21/0.58  % (16999)Instructions burned: 3 (million)
% 0.21/0.58  % (16999)------------------------------
% 0.21/0.58  % (16999)------------------------------
% 0.21/0.59  % (17000)Instruction limit reached!
% 0.21/0.59  % (17000)------------------------------
% 0.21/0.59  % (17000)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59  % (17000)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59  % (17000)Termination reason: Unknown
% 0.21/0.59  % (17000)Termination phase: shuffling
% 0.21/0.59  
% 0.21/0.59  % (17000)Memory used [KB]: 1791
% 0.21/0.59  % (17000)Time elapsed: 0.008 s
% 0.21/0.59  % (17000)Instructions burned: 8 (million)
% 0.21/0.59  % (17000)------------------------------
% 0.21/0.59  % (17000)------------------------------
% 0.21/0.59  % (17008)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.21/0.62  % (16987)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.62  % (17008)Refutation not found, incomplete strategy% (17008)------------------------------
% 0.21/0.62  % (17008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.62  % (17008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.62  % (17008)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.62  
% 0.21/0.62  % (17008)Memory used [KB]: 1918
% 0.21/0.62  % (17008)Time elapsed: 0.161 s
% 0.21/0.62  % (17008)Instructions burned: 9 (million)
% 0.21/0.62  % (17008)------------------------------
% 0.21/0.62  % (17008)------------------------------
% 0.21/0.62  % (17005)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.21/0.62  % (17006)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.62  % (17011)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.72/0.63  % (17013)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.72/0.63  % (17014)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.72/0.63  % (16996)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.72/0.63  % (17003)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.72/0.63  % (17003)Instruction limit reached!
% 1.72/0.63  % (17003)------------------------------
% 1.72/0.63  % (17003)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.63  % (17003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.63  % (17003)Termination reason: Unknown
% 1.72/0.63  % (17003)Termination phase: SInE selection
% 1.72/0.63  
% 1.72/0.63  % (17003)Memory used [KB]: 1663
% 1.72/0.63  % (17003)Time elapsed: 0.003 s
% 1.72/0.63  % (17003)Instructions burned: 2 (million)
% 1.72/0.63  % (17003)------------------------------
% 1.72/0.63  % (17003)------------------------------
% 1.72/0.63  % (16989)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.72/0.63  % (17002)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.72/0.63  % (17002)Instruction limit reached!
% 1.72/0.63  % (17002)------------------------------
% 1.72/0.63  % (17002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.63  % (17002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.63  % (17002)Termination reason: Unknown
% 1.72/0.63  % (17002)Termination phase: Preprocessing 2
% 1.72/0.63  
% 1.72/0.63  % (17002)Memory used [KB]: 1791
% 1.72/0.63  % (17002)Time elapsed: 0.003 s
% 1.72/0.63  % (17002)Instructions burned: 3 (million)
% 1.72/0.63  % (17002)------------------------------
% 1.72/0.63  % (17002)------------------------------
% 1.72/0.63  % (16989)Refutation not found, incomplete strategy% (16989)------------------------------
% 1.72/0.63  % (16989)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.63  % (16989)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.63  % (16989)Termination reason: Refutation not found, incomplete strategy
% 1.72/0.63  
% 1.72/0.63  % (16989)Memory used [KB]: 6268
% 1.72/0.63  % (16989)Time elapsed: 0.180 s
% 1.72/0.63  % (16989)Instructions burned: 3 (million)
% 1.72/0.63  % (16989)------------------------------
% 1.72/0.63  % (16989)------------------------------
% 1.72/0.63  % (16998)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.72/0.63  % (16994)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.72/0.63  % (17012)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.72/0.64  % (16995)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.72/0.64  % (16990)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.72/0.64  % (16988)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.72/0.64  % (16995)Refutation not found, incomplete strategy% (16995)------------------------------
% 1.72/0.64  % (16995)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.64  % (16995)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.64  % (16995)Termination reason: Refutation not found, incomplete strategy
% 1.72/0.64  
% 1.72/0.64  % (16995)Memory used [KB]: 6268
% 1.72/0.64  % (16995)Time elapsed: 0.178 s
% 1.72/0.64  % (16995)Instructions burned: 4 (million)
% 1.72/0.64  % (16995)------------------------------
% 1.72/0.64  % (16995)------------------------------
% 1.72/0.64  % (16997)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.72/0.64  % (16987)Instruction limit reached!
% 1.72/0.64  % (16987)------------------------------
% 1.72/0.64  % (16987)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.64  % (16987)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.64  % (16987)Termination reason: Unknown
% 1.72/0.64  % (16987)Termination phase: Preprocessing 3
% 1.72/0.64  
% 1.72/0.64  % (16987)Memory used [KB]: 1791
% 1.72/0.64  % (16987)Time elapsed: 0.005 s
% 1.72/0.64  % (16987)Instructions burned: 3 (million)
% 1.72/0.64  % (16987)------------------------------
% 1.72/0.64  % (16987)------------------------------
% 1.72/0.64  % (16988)Refutation not found, incomplete strategy% (16988)------------------------------
% 1.72/0.64  % (16988)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.64  % (16990)Refutation not found, incomplete strategy% (16990)------------------------------
% 1.72/0.64  % (16990)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.64  % (16988)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.64  % (16988)Termination reason: Refutation not found, incomplete strategy
% 1.72/0.64  % (16990)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.64  
% 1.72/0.64  % (16990)Termination reason: Refutation not found, incomplete strategy
% 1.72/0.64  
% 1.72/0.64  % (16988)Memory used [KB]: 6268
% 1.72/0.64  % (16988)Time elapsed: 0.189 s
% 1.72/0.64  % (16990)Memory used [KB]: 1791
% 1.72/0.64  % (16988)Instructions burned: 3 (million)
% 1.72/0.64  % (16990)Time elapsed: 0.190 s
% 1.72/0.64  % (16988)------------------------------
% 1.72/0.64  % (16988)------------------------------
% 1.72/0.64  % (16990)Instructions burned: 3 (million)
% 1.72/0.64  % (16990)------------------------------
% 1.72/0.64  % (16990)------------------------------
% 1.72/0.64  % (17004)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 2.06/0.64  % (16986)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 2.06/0.64  % (17006)Refutation not found, incomplete strategy% (17006)------------------------------
% 2.06/0.64  % (17006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.65  % (16985)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 2.06/0.65  % (16996)Refutation not found, incomplete strategy% (16996)------------------------------
% 2.06/0.65  % (16996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.65  % (17010)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 2.06/0.65  % (17010)Refutation not found, incomplete strategy% (17010)------------------------------
% 2.06/0.65  % (17010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.65  % (17010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.65  % (17010)Termination reason: Refutation not found, incomplete strategy
% 2.06/0.65  
% 2.06/0.65  % (17010)Memory used [KB]: 6268
% 2.06/0.65  % (17010)Time elapsed: 0.159 s
% 2.06/0.65  % (17010)Instructions burned: 4 (million)
% 2.06/0.65  % (17010)------------------------------
% 2.06/0.65  % (17010)------------------------------
% 2.06/0.65  % (16996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.65  % (16996)Termination reason: Refutation not found, incomplete strategy
% 2.06/0.65  
% 2.06/0.65  % (16996)Memory used [KB]: 6268
% 2.06/0.65  % (16996)Time elapsed: 0.193 s
% 2.06/0.65  % (16996)Instructions burned: 4 (million)
% 2.06/0.65  % (16996)------------------------------
% 2.06/0.65  % (16996)------------------------------
% 2.06/0.65  % (16993)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 2.06/0.66  % (17001)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.06/0.66  % (17004)Instruction limit reached!
% 2.06/0.66  % (17004)------------------------------
% 2.06/0.66  % (17004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.66  % (16994)Refutation not found, incomplete strategy% (16994)------------------------------
% 2.06/0.66  % (16994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.66  % (16994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.66  % (16994)Termination reason: Refutation not found, incomplete strategy
% 2.06/0.66  
% 2.06/0.66  % (16994)Memory used [KB]: 6396
% 2.06/0.66  % (16994)Time elapsed: 0.172 s
% 2.06/0.66  % (16994)Instructions burned: 10 (million)
% 2.06/0.66  % (16994)------------------------------
% 2.06/0.66  % (16994)------------------------------
% 2.06/0.66  % (17004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.66  % (17004)Termination reason: Unknown
% 2.06/0.66  % (17004)Termination phase: Saturation
% 2.06/0.66  
% 2.06/0.66  % (17004)Memory used [KB]: 6396
% 2.06/0.66  % (17004)Time elapsed: 0.009 s
% 2.06/0.66  % (17004)Instructions burned: 11 (million)
% 2.06/0.66  % (17004)------------------------------
% 2.06/0.66  % (17004)------------------------------
% 2.06/0.66  % (16986)Refutation not found, incomplete strategy% (16986)------------------------------
% 2.06/0.66  % (16986)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.66  % (16986)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.66  % (16986)Termination reason: Refutation not found, incomplete strategy
% 2.06/0.66  
% 2.06/0.66  % (16997)Instruction limit reached!
% 2.06/0.66  % (16997)------------------------------
% 2.06/0.66  % (16997)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.66  % (16997)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.66  % (16997)Termination reason: Unknown
% 2.06/0.66  % (16997)Termination phase: Property scanning
% 2.06/0.66  
% 2.06/0.66  % (16997)Memory used [KB]: 1918
% 2.06/0.66  % (16997)Time elapsed: 0.011 s
% 2.06/0.66  % (16997)Instructions burned: 16 (million)
% 2.06/0.66  % (16997)------------------------------
% 2.06/0.66  % (16997)------------------------------
% 2.06/0.66  % (16986)Memory used [KB]: 6268
% 2.06/0.66  % (16986)Time elapsed: 0.156 s
% 2.06/0.66  % (16986)Instructions burned: 4 (million)
% 2.06/0.66  % (16986)------------------------------
% 2.06/0.66  % (16986)------------------------------
% 2.23/0.66  % (17013)Instruction limit reached!
% 2.23/0.66  % (17013)------------------------------
% 2.23/0.66  % (17013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.66  % (17013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.66  % (17013)Termination reason: Unknown
% 2.23/0.66  % (17013)Termination phase: Property scanning
% 2.23/0.66  
% 2.23/0.66  % (17013)Memory used [KB]: 1791
% 2.23/0.66  % (17013)Time elapsed: 0.007 s
% 2.23/0.66  % (17013)Instructions burned: 8 (million)
% 2.23/0.66  % (17013)------------------------------
% 2.23/0.66  % (17013)------------------------------
% 2.23/0.66  % (17009)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.23/0.67  % (17006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.67  % (17006)Termination reason: Refutation not found, incomplete strategy
% 2.23/0.67  
% 2.23/0.67  % (17006)Memory used [KB]: 6268
% 2.23/0.67  % (17006)Time elapsed: 0.191 s
% 2.23/0.67  % (17006)Instructions burned: 5 (million)
% 2.23/0.67  % (17006)------------------------------
% 2.23/0.67  % (17006)------------------------------
% 2.23/0.67  % (17012)Instruction limit reached!
% 2.23/0.67  % (17012)------------------------------
% 2.23/0.67  % (17012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.67  % (17012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.67  % (17012)Termination reason: Unknown
% 2.23/0.67  % (17012)Termination phase: Saturation
% 2.23/0.67  
% 2.23/0.67  % (17012)Memory used [KB]: 6524
% 2.23/0.67  % (17012)Time elapsed: 0.217 s
% 2.23/0.67  % (17012)Instructions burned: 25 (million)
% 2.23/0.67  % (17012)------------------------------
% 2.23/0.67  % (17012)------------------------------
% 2.23/0.68  % (16993)Refutation not found, incomplete strategy% (16993)------------------------------
% 2.23/0.68  % (16993)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.68  % (16993)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.68  % (16993)Termination reason: Refutation not found, incomplete strategy
% 2.23/0.68  
% 2.23/0.68  % (16993)Memory used [KB]: 6268
% 2.23/0.68  % (16993)Time elapsed: 0.222 s
% 2.23/0.68  % (16993)Instructions burned: 3 (million)
% 2.23/0.68  % (16993)------------------------------
% 2.23/0.68  % (16993)------------------------------
% 2.23/0.68  % (17007)Instruction limit reached!
% 2.23/0.68  % (17007)------------------------------
% 2.23/0.68  % (17007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.68  % (17007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.68  % (17007)Termination reason: Unknown
% 2.23/0.68  % (17007)Termination phase: Saturation
% 2.23/0.68  
% 2.23/0.68  % (17007)Memory used [KB]: 8315
% 2.23/0.68  % (17007)Time elapsed: 0.218 s
% 2.23/0.68  % (17007)Instructions burned: 82 (million)
% 2.23/0.68  % (17014)Instruction limit reached!
% 2.23/0.68  % (17014)------------------------------
% 2.23/0.68  % (17014)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.68  % (17014)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.68  % (17014)Termination reason: Unknown
% 2.23/0.68  % (17014)Termination phase: Saturation
% 2.23/0.68  
% 2.23/0.68  % (17014)Memory used [KB]: 6652
% 2.23/0.68  % (17014)Time elapsed: 0.235 s
% 2.23/0.68  % (17014)Instructions burned: 24 (million)
% 2.23/0.68  % (17014)------------------------------
% 2.23/0.68  % (17014)------------------------------
% 2.23/0.68  % (17007)------------------------------
% 2.23/0.68  % (17007)------------------------------
% 2.23/0.68  % (17011)Refutation not found, incomplete strategy% (17011)------------------------------
% 2.23/0.68  % (17011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.68  % (17011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.68  % (17011)Termination reason: Refutation not found, incomplete strategy
% 2.23/0.68  
% 2.23/0.68  % (17011)Memory used [KB]: 7419
% 2.23/0.68  % (17011)Time elapsed: 0.231 s
% 2.23/0.68  % (17011)Instructions burned: 24 (million)
% 2.23/0.68  % (17011)------------------------------
% 2.23/0.68  % (17011)------------------------------
% 2.23/0.69  % (17005)Instruction limit reached!
% 2.23/0.69  % (17005)------------------------------
% 2.23/0.69  % (17005)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.70  % (17020)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/7Mi)
% 2.23/0.71  % (17001)Refutation not found, incomplete strategy% (17001)------------------------------
% 2.23/0.71  % (17001)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.71  % (17005)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.71  % (17005)Termination reason: Unknown
% 2.23/0.71  % (17005)Termination phase: Saturation
% 2.23/0.71  
% 2.23/0.71  % (17005)Memory used [KB]: 6652
% 2.23/0.71  % (17005)Time elapsed: 0.244 s
% 2.23/0.71  % (17005)Instructions burned: 31 (million)
% 2.23/0.71  % (17005)------------------------------
% 2.23/0.71  % (17005)------------------------------
% 2.23/0.71  % (17020)Refutation not found, incomplete strategy% (17020)------------------------------
% 2.23/0.71  % (17020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.71  % (17020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.71  % (17020)Termination reason: Refutation not found, incomplete strategy
% 2.23/0.71  
% 2.23/0.71  % (17020)Memory used [KB]: 10746
% 2.23/0.71  % (17020)Time elapsed: 0.036 s
% 2.23/0.71  % (17020)Instructions burned: 4 (million)
% 2.23/0.71  % (17020)------------------------------
% 2.23/0.71  % (17020)------------------------------
% 2.45/0.72  % (17001)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.72  % (17001)Termination reason: Refutation not found, incomplete strategy
% 2.45/0.72  
% 2.45/0.72  % (17001)Memory used [KB]: 7419
% 2.45/0.72  % (17001)Time elapsed: 0.254 s
% 2.45/0.72  % (17001)Instructions burned: 23 (million)
% 2.45/0.72  % (17001)------------------------------
% 2.45/0.72  % (17001)------------------------------
% 2.45/0.72  % (17009)Instruction limit reached!
% 2.45/0.72  % (17009)------------------------------
% 2.45/0.72  % (17009)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.72  % (17009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.72  % (17009)Termination reason: Unknown
% 2.45/0.72  % (17009)Termination phase: Saturation
% 2.45/0.72  
% 2.45/0.72  % (17009)Memory used [KB]: 7036
% 2.45/0.72  % (17009)Time elapsed: 0.275 s
% 2.45/0.72  % (17009)Instructions burned: 52 (million)
% 2.45/0.72  % (17009)------------------------------
% 2.45/0.72  % (17009)------------------------------
% 2.45/0.74  % (17018)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/92Mi)
% 2.45/0.75  % (16998)Instruction limit reached!
% 2.45/0.75  % (16998)------------------------------
% 2.45/0.75  % (16998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.75  % (16998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.75  % (16998)Termination reason: Unknown
% 2.49/0.75  % (16998)Termination phase: Saturation
% 2.49/0.75  
% 2.49/0.75  % (16998)Memory used [KB]: 7291
% 2.49/0.75  % (16998)Time elapsed: 0.267 s
% 2.49/0.75  % (16998)Instructions burned: 51 (million)
% 2.49/0.75  % (16998)------------------------------
% 2.49/0.75  % (16998)------------------------------
% 2.49/0.76  % (17031)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/42Mi)
% 2.49/0.76  % (17032)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 2.49/0.76  % (17021)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/87Mi)
% 2.49/0.76  % (17021)Refutation not found, incomplete strategy% (17021)------------------------------
% 2.49/0.76  % (17021)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.76  % (17021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.76  % (17021)Termination reason: Refutation not found, incomplete strategy
% 2.49/0.76  
% 2.49/0.76  % (17021)Memory used [KB]: 6268
% 2.49/0.76  % (17021)Time elapsed: 0.141 s
% 2.49/0.76  % (17021)Instructions burned: 4 (million)
% 2.49/0.76  % (17021)------------------------------
% 2.49/0.76  % (17021)------------------------------
% 2.49/0.76  % (17035)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/84Mi)
% 2.49/0.76  % (17022)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/69Mi)
% 2.49/0.77  % (17018)Refutation not found, incomplete strategy% (17018)------------------------------
% 2.49/0.77  % (17018)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.77  % (17025)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/107Mi)
% 2.49/0.77  % (17018)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.77  % (17018)Termination reason: Refutation not found, incomplete strategy
% 2.49/0.77  
% 2.49/0.77  % (17018)Memory used [KB]: 6268
% 2.49/0.77  % (17018)Time elapsed: 0.153 s
% 2.49/0.77  % (17018)Instructions burned: 4 (million)
% 2.49/0.77  % (17018)------------------------------
% 2.49/0.77  % (17018)------------------------------
% 2.49/0.78  % (17033)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.49/0.78  % (17036)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/131Mi)
% 2.49/0.78  % (17040)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 2.49/0.78  % (17030)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/141Mi)
% 2.49/0.78  % (17040)Refutation not found, incomplete strategy% (17040)------------------------------
% 2.49/0.78  % (17040)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.78  % (17040)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.78  % (17040)Termination reason: Refutation not found, incomplete strategy
% 2.49/0.78  
% 2.49/0.78  % (17040)Memory used [KB]: 6268
% 2.49/0.78  % (17040)Time elapsed: 0.098 s
% 2.49/0.78  % (17040)Instructions burned: 3 (million)
% 2.49/0.78  % (17040)------------------------------
% 2.49/0.78  % (17040)------------------------------
% 2.49/0.79  % (17030)Refutation not found, incomplete strategy% (17030)------------------------------
% 2.49/0.79  % (17030)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.79  % (17030)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.79  % (17030)Termination reason: Refutation not found, incomplete strategy
% 2.49/0.79  
% 2.49/0.79  % (17030)Memory used [KB]: 6268
% 2.49/0.79  % (17030)Time elapsed: 0.117 s
% 2.49/0.79  % (17030)Instructions burned: 3 (million)
% 2.49/0.79  % (17030)------------------------------
% 2.49/0.79  % (17030)------------------------------
% 2.49/0.79  % (17035)Refutation not found, incomplete strategy% (17035)------------------------------
% 2.49/0.79  % (17035)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.79  % (17035)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.79  % (17035)Termination reason: Refutation not found, incomplete strategy
% 2.49/0.79  
% 2.49/0.79  % (17035)Memory used [KB]: 6268
% 2.49/0.79  % (17035)Time elapsed: 0.003 s
% 2.49/0.79  % (17035)Instructions burned: 3 (million)
% 2.49/0.79  % (17035)------------------------------
% 2.49/0.79  % (17035)------------------------------
% 2.49/0.79  % (17028)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/56Mi)
% 2.49/0.79  % (17032)Refutation not found, incomplete strategy% (17032)------------------------------
% 2.49/0.79  % (17032)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.79  % (17032)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.79  % (17032)Termination reason: Refutation not found, incomplete strategy
% 2.49/0.79  
% 2.49/0.79  % (17032)Memory used [KB]: 6524
% 2.49/0.79  % (17032)Time elapsed: 0.112 s
% 2.49/0.79  % (17032)Instructions burned: 19 (million)
% 2.49/0.79  % (17032)------------------------------
% 2.49/0.79  % (17032)------------------------------
% 2.49/0.79  % (17028)Refutation not found, incomplete strategy% (17028)------------------------------
% 2.49/0.79  % (17028)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.79  % (17028)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.79  % (17028)Termination reason: Refutation not found, incomplete strategy
% 2.49/0.79  
% 2.49/0.79  % (17028)Memory used [KB]: 6268
% 2.49/0.79  % (17028)Time elapsed: 0.120 s
% 2.49/0.79  % (17028)Instructions burned: 4 (million)
% 2.49/0.79  % (17028)------------------------------
% 2.49/0.79  % (17028)------------------------------
% 2.49/0.79  % (17022)First to succeed.
% 2.49/0.79  % (17038)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 2.49/0.79  % (17022)Refutation found. Thanks to Tanya!
% 2.49/0.79  % SZS status Theorem for theBenchmark
% 2.49/0.79  % SZS output start Proof for theBenchmark
% See solution above
% 2.49/0.79  % (17022)------------------------------
% 2.49/0.79  % (17022)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.79  % (17022)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.79  % (17022)Termination reason: Refutation
% 2.49/0.79  
% 2.49/0.79  % (17022)Memory used [KB]: 2430
% 2.49/0.79  % (17022)Time elapsed: 0.158 s
% 2.49/0.79  % (17022)Instructions burned: 27 (million)
% 2.49/0.79  % (17022)------------------------------
% 2.49/0.79  % (17022)------------------------------
% 2.49/0.79  % (16984)Success in time 0.437 s
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