TSTP Solution File: NUM306+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM306+1 : TPTP v8.2.0. 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 : n013.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 : Tue May 21 01:39:15 EDT 2024

% Result   : Theorem 0.78s 0.94s
% Output   : Refutation 0.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   61 (  29 unt;   0 def)
%            Number of atoms       :  178 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  226 ( 109   ~;  90   |;  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   :  160 ( 160   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f920,plain,
    $false,
    inference(subsumption_resolution,[],[f919,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/benchmark/theBenchmark.p',rdn_digit_add_n0_n0_n0_n0) ).

fof(f919,plain,
    ~ rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
    inference(resolution,[],[f918,f849]) ).

fof(f849,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(f918,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,[],[f917,f813]) ).

fof(f813,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(f917,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X0),rdnn(X1))
      | ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(n7),rdnn(X2))
      | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(n0),rdnn(n0)) ),
    inference(resolution,[],[f916,f829]) ).

fof(f829,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(f916,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rdn_digit_add(rdnn(n5),rdnn(X3),rdnn(n5),rdnn(n0))
      | ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X0),rdnn(X2))
      | ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(n7),rdnn(X1))
      | ~ rdn_digit_add(rdnn(X2),rdnn(X1),rdnn(X3),rdnn(n0)) ),
    inference(resolution,[],[f915,f802]) ).

fof(f802,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(f915,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(X4),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X3),rdnn(n0),rdnn(n7),rdnn(X1))
      | ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X3),rdnn(X0))
      | ~ rdn_digit_add(rdnn(X4),rdnn(X2),rdnn(n5),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(n0)) ),
    inference(resolution,[],[f914,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,[],[f464]) ).

fof(f464,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,[],[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(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/benchmark/theBenchmark.p',add_digit_digit_digit) ).

fof(f914,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rdn_add_with_carry(rdnn(X0),rdnn(n2),rdnn(n3),rdnn(n5))
      | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X0),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X3),rdnn(n0),rdnn(n7),rdnn(X2))
      | ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X3),rdnn(X1)) ),
    inference(subsumption_resolution,[],[f913,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/benchmark/theBenchmark.p',rdn_digit2) ).

fof(f913,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rdn_add_with_carry(rdnn(X0),rdnn(n2),rdnn(n3),rdnn(n5))
      | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X0),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X3),rdnn(n0),rdnn(n7),rdnn(X2))
      | ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X3),rdnn(X1))
      | ~ rdn_non_zero_digit(rdnn(n2)) ),
    inference(resolution,[],[f912,f753]) ).

fof(f753,plain,
    ! [X0] :
      ( rdn_non_zero(rdnn(X0))
      | ~ rdn_non_zero_digit(rdnn(X0)) ),
    inference(cnf_transformation,[],[f433]) ).

fof(f433,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/benchmark/theBenchmark.p',rdn_non_zero_by_digit) ).

fof(f912,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rdn_non_zero(rdnn(n2))
      | ~ rdn_add_with_carry(rdnn(X0),rdnn(n2),rdnn(n3),rdnn(n5))
      | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X0),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X3),rdnn(n0),rdnn(n7),rdnn(X2))
      | ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X3),rdnn(X1)) ),
    inference(subsumption_resolution,[],[f911,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/benchmark/theBenchmark.p',rdn_digit3) ).

fof(f911,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rdn_non_zero(rdnn(n2))
      | ~ rdn_add_with_carry(rdnn(X0),rdnn(n2),rdnn(n3),rdnn(n5))
      | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X0),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X3),rdnn(n0),rdnn(n7),rdnn(X2))
      | ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X3),rdnn(X1))
      | ~ rdn_non_zero_digit(rdnn(n3)) ),
    inference(resolution,[],[f910,f753]) ).

fof(f910,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rdn_non_zero(rdnn(n3))
      | ~ rdn_non_zero(rdnn(n2))
      | ~ rdn_add_with_carry(rdnn(X0),rdnn(n2),rdnn(n3),rdnn(n5))
      | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X0),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X3),rdnn(n0),rdnn(n7),rdnn(X2))
      | ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X3),rdnn(X1)) ),
    inference(subsumption_resolution,[],[f909,f735]) ).

fof(f735,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(f909,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rdn_non_zero(rdnn(n3))
      | ~ rdn_non_zero(rdnn(n2))
      | ~ rdn_add_with_carry(rdnn(X0),rdnn(n2),rdnn(n3),rdnn(n5))
      | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X0),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X3),rdnn(n0),rdnn(n7),rdnn(X2))
      | ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X3),rdnn(X1))
      | ~ rdn_non_zero_digit(rdnn(n5)) ),
    inference(resolution,[],[f904,f753]) ).

fof(f904,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rdn_non_zero(rdnn(n5))
      | ~ rdn_non_zero(rdnn(n3))
      | ~ rdn_non_zero(rdnn(n2))
      | ~ rdn_add_with_carry(rdnn(X0),rdnn(n2),rdnn(n3),rdnn(n5))
      | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X0),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X3),rdnn(n0),rdnn(n7),rdnn(X2))
      | ~ rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(X3),rdnn(X1)) ),
    inference(resolution,[],[f903,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,[],[f470]) ).

fof(f470,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,[],[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(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/benchmark/theBenchmark.p',add_rdn_rdn_rdn) ).

fof(f903,plain,
    ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n3),rdnn(n2)),rdn(rdnn(n4),rdnn(n3)),rdn(rdnn(n7),rdnn(n5))),
    inference(resolution,[],[f902,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/benchmark/theBenchmark.p',rdn23) ).

fof(f902,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,[],[f900,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/benchmark/theBenchmark.p',rdn34) ).

fof(f900,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,[],[f885,f532]) ).

fof(f532,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(f885,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_translate(n57,rdn_pos(X0))
      | ~ rdn_add_with_carry(rdnn(n0),X1,X2,X0)
      | ~ rdn_translate(n34,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,[],[f446]) ).

fof(f446,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,[],[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(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/benchmark/theBenchmark.p',sum_entry_point_pos_pos) ).

fof(f879,plain,
    ~ sum(n23,n34,n57),
    inference(cnf_transformation,[],[f425]) ).

fof(f425,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
% 0.08/0.13  % Problem    : NUM306+1 : TPTP v8.2.0. Released v3.1.0.
% 0.08/0.15  % 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
% 0.16/0.36  % Computer : n013.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Mon May 20 04:09:53 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37  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/benchmark/theBenchmark.p
% 0.74/0.92  % (5936)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.74/0.92  % (5931)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 theBenchmark for (2994ds/34Mi)
% 0.74/0.92  % (5934)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.74/0.92  % (5932)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 theBenchmark for (2994ds/51Mi)
% 0.74/0.92  % (5935)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 theBenchmark for (2994ds/34Mi)
% 0.74/0.92  % (5938)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.74/0.92  % (5937)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 theBenchmark for (2994ds/83Mi)
% 0.76/0.92  % (5934)Refutation not found, incomplete strategy% (5934)------------------------------
% 0.76/0.92  % (5934)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.92  % (5934)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.92  
% 0.76/0.92  % (5934)Memory used [KB]: 1298
% 0.76/0.92  % (5934)Time elapsed: 0.003 s
% 0.76/0.92  % (5934)Instructions burned: 4 (million)
% 0.76/0.92  % (5938)Refutation not found, incomplete strategy% (5938)------------------------------
% 0.76/0.92  % (5938)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.92  % (5936)Refutation not found, incomplete strategy% (5936)------------------------------
% 0.76/0.92  % (5936)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.92  % (5936)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.92  
% 0.76/0.92  % (5936)Memory used [KB]: 1307
% 0.76/0.92  % (5936)Time elapsed: 0.003 s
% 0.76/0.92  % (5936)Instructions burned: 4 (million)
% 0.76/0.92  % (5938)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.92  
% 0.76/0.92  % (5938)Memory used [KB]: 1306
% 0.76/0.92  % (5938)Time elapsed: 0.003 s
% 0.76/0.92  % (5933)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.76/0.92  % (5938)Instructions burned: 4 (million)
% 0.76/0.92  % (5934)------------------------------
% 0.76/0.92  % (5934)------------------------------
% 0.76/0.92  % (5931)Refutation not found, incomplete strategy% (5931)------------------------------
% 0.76/0.92  % (5931)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.92  % (5936)------------------------------
% 0.76/0.92  % (5936)------------------------------
% 0.76/0.92  % (5931)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.92  
% 0.76/0.92  % (5931)Memory used [KB]: 1305
% 0.76/0.92  % (5931)Time elapsed: 0.004 s
% 0.76/0.92  % (5931)Instructions burned: 5 (million)
% 0.76/0.92  % (5938)------------------------------
% 0.76/0.92  % (5938)------------------------------
% 0.76/0.92  % (5931)------------------------------
% 0.76/0.92  % (5931)------------------------------
% 0.76/0.93  % (5933)Refutation not found, incomplete strategy% (5933)------------------------------
% 0.76/0.93  % (5933)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.93  % (5933)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.93  
% 0.76/0.93  % (5933)Memory used [KB]: 1303
% 0.76/0.93  % (5933)Time elapsed: 0.003 s
% 0.76/0.93  % (5933)Instructions burned: 4 (million)
% 0.76/0.93  % (5933)------------------------------
% 0.76/0.93  % (5933)------------------------------
% 0.78/0.93  % (5941)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2994ds/208Mi)
% 0.78/0.93  % (5939)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 theBenchmark for (2994ds/55Mi)
% 0.78/0.93  % (5940)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 theBenchmark for (2994ds/50Mi)
% 0.78/0.93  % (5942)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 theBenchmark for (2994ds/52Mi)
% 0.78/0.93  % (5937)Refutation not found, incomplete strategy% (5937)------------------------------
% 0.78/0.93  % (5937)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.93  % (5937)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.93  
% 0.78/0.93  % (5937)Memory used [KB]: 1372
% 0.78/0.93  % (5937)Time elapsed: 0.008 s
% 0.78/0.93  % (5937)Instructions burned: 14 (million)
% 0.78/0.93  % (5937)------------------------------
% 0.78/0.93  % (5937)------------------------------
% 0.78/0.93  % (5939)Refutation not found, incomplete strategy% (5939)------------------------------
% 0.78/0.93  % (5939)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.93  % (5939)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.93  % (5943)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 theBenchmark for (2994ds/518Mi)
% 0.78/0.93  
% 0.78/0.93  % (5939)Memory used [KB]: 1296
% 0.78/0.93  % (5939)Time elapsed: 0.003 s
% 0.78/0.93  % (5941)Refutation not found, incomplete strategy% (5941)------------------------------
% 0.78/0.93  % (5941)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.93  % (5939)Instructions burned: 3 (million)
% 0.78/0.93  % (5941)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.93  
% 0.78/0.93  % (5941)Memory used [KB]: 1295
% 0.78/0.93  % (5941)Time elapsed: 0.003 s
% 0.78/0.93  % (5941)Instructions burned: 4 (million)
% 0.78/0.93  % (5939)------------------------------
% 0.78/0.93  % (5939)------------------------------
% 0.78/0.93  % (5941)------------------------------
% 0.78/0.93  % (5941)------------------------------
% 0.78/0.93  % (5935)Refutation not found, incomplete strategy% (5935)------------------------------
% 0.78/0.93  % (5935)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.93  % (5935)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.93  
% 0.78/0.93  % (5935)Memory used [KB]: 1444
% 0.78/0.93  % (5935)Time elapsed: 0.010 s
% 0.78/0.93  % (5935)Instructions burned: 22 (million)
% 0.78/0.93  % (5935)------------------------------
% 0.78/0.93  % (5935)------------------------------
% 0.78/0.93  % (5944)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 theBenchmark for (2994ds/42Mi)
% 0.78/0.93  % (5945)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 theBenchmark for (2994ds/243Mi)
% 0.78/0.93  % (5946)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2994ds/117Mi)
% 0.78/0.93  % (5943)Refutation not found, incomplete strategy% (5943)------------------------------
% 0.78/0.93  % (5943)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.93  % (5943)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.93  
% 0.78/0.93  % (5943)Memory used [KB]: 1369
% 0.78/0.93  % (5943)Time elapsed: 0.005 s
% 0.78/0.93  % (5943)Instructions burned: 9 (million)
% 0.78/0.93  % (5943)------------------------------
% 0.78/0.93  % (5943)------------------------------
% 0.78/0.93  % (5946)Refutation not found, incomplete strategy% (5946)------------------------------
% 0.78/0.93  % (5946)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.93  % (5947)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 theBenchmark for (2994ds/143Mi)
% 0.78/0.93  % (5946)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.94  
% 0.78/0.94  % (5946)Memory used [KB]: 1301
% 0.78/0.94  % (5946)Time elapsed: 0.003 s
% 0.78/0.94  % (5946)Instructions burned: 4 (million)
% 0.78/0.94  % (5946)------------------------------
% 0.78/0.94  % (5946)------------------------------
% 0.78/0.94  % (5940)First to succeed.
% 0.78/0.94  % (5940)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5909"
% 0.78/0.94  % (5948)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 theBenchmark for (2994ds/93Mi)
% 0.78/0.94  % (5940)Refutation found. Thanks to Tanya!
% 0.78/0.94  % SZS status Theorem for theBenchmark
% 0.78/0.94  % SZS output start Proof for theBenchmark
% See solution above
% 0.78/0.94  % (5940)------------------------------
% 0.78/0.94  % (5940)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.78/0.94  % (5940)Termination reason: Refutation
% 0.78/0.94  
% 0.78/0.94  % (5940)Memory used [KB]: 1531
% 0.78/0.94  % (5940)Time elapsed: 0.010 s
% 0.78/0.94  % (5940)Instructions burned: 23 (million)
% 0.78/0.94  % (5909)Success in time 0.564 s
% 0.78/0.94  % Vampire---4.8 exiting
%------------------------------------------------------------------------------