TSTP Solution File: KLE011+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KLE011+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n007.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 03:02:39 EDT 2024

% Result   : Theorem 1.56s 0.95s
% Output   : Refutation 1.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  131 (  73 unt;   0 def)
%            Number of atoms       :  227 ( 126 equ)
%            Maximal formula atoms :    8 (   1 avg)
%            Number of connectives :  144 (  48   ~;  54   |;  26   &)
%                                         (   6 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   2 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;  13 con; 0-2 aty)
%            Number of variables   :   98 (  92   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4926,plain,
    $false,
    inference(avatar_sat_refutation,[],[f4372,f4923]) ).

fof(f4923,plain,
    ~ spl16_1,
    inference(avatar_contradiction_clause,[],[f4922]) ).

fof(f4922,plain,
    ( $false
    | ~ spl16_1 ),
    inference(subsumption_resolution,[],[f4910,f75]) ).

fof(f75,plain,
    ~ sP6(one),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).

fof(f4910,plain,
    ( sP6(one)
    | ~ spl16_1 ),
    inference(backward_demodulation,[],[f87,f4908]) ).

fof(f4908,plain,
    ( one = sF15
    | ~ spl16_1 ),
    inference(forward_demodulation,[],[f4897,f86]) ).

fof(f86,plain,
    addition(sF13,sF14) = sF15,
    introduced(function_definition,[new_symbols(definition,[sF15])]) ).

fof(f4897,plain,
    ( one = addition(sF13,sF14)
    | ~ spl16_1 ),
    inference(superposition,[],[f4568,f46]) ).

fof(f46,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    file('/export/starexec/sandbox/tmp/tmp.QIPp1GDMRg/Vampire---4.8_28888',additive_commutativity) ).

fof(f4568,plain,
    ( one = addition(sF14,sF13)
    | ~ spl16_1 ),
    inference(backward_demodulation,[],[f4472,f463]) ).

fof(f463,plain,
    sF14 = c(sF13),
    inference(forward_demodulation,[],[f462,f85]) ).

fof(f85,plain,
    multiplication(sF10,sF7) = sF14,
    introduced(function_definition,[new_symbols(definition,[sF14])]) ).

fof(f462,plain,
    multiplication(sF10,sF7) = c(sF13),
    inference(forward_demodulation,[],[f461,f140]) ).

fof(f140,plain,
    sF13 = addition(sK1,sK2),
    inference(backward_demodulation,[],[f120,f138]) ).

fof(f138,plain,
    sK1 = sF9,
    inference(forward_demodulation,[],[f137,f52]) ).

fof(f52,plain,
    ! [X0] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] : multiplication(one,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.QIPp1GDMRg/Vampire---4.8_28888',multiplicative_left_identity) ).

fof(f137,plain,
    sF9 = multiplication(one,sK1),
    inference(backward_demodulation,[],[f80,f135]) ).

fof(f135,plain,
    one = sF8,
    inference(forward_demodulation,[],[f131,f79]) ).

fof(f79,plain,
    addition(sK2,sF7) = sF8,
    introduced(function_definition,[new_symbols(definition,[sF8])]) ).

fof(f131,plain,
    one = addition(sK2,sF7),
    inference(superposition,[],[f111,f46]) ).

fof(f111,plain,
    one = addition(sF7,sK2),
    inference(resolution,[],[f61,f90]) ).

fof(f90,plain,
    complement(sK2,sF7),
    inference(subsumption_resolution,[],[f88,f68]) ).

fof(f68,plain,
    test(sK2),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ( one != addition(addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(addition(sK1,c(sK1)),sK2)),multiplication(c(sK1),c(sK2)))
    & test(sK1)
    & test(sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f36,f44]) ).

fof(f44,plain,
    ( ? [X0,X1] :
        ( one != addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1)))
        & test(X0)
        & test(X1) )
   => ( one != addition(addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(addition(sK1,c(sK1)),sK2)),multiplication(c(sK1),c(sK2)))
      & test(sK1)
      & test(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f36,plain,
    ? [X0,X1] :
      ( one != addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1)))
      & test(X0)
      & test(X1) ),
    inference(flattening,[],[f35]) ).

fof(f35,plain,
    ? [X0,X1] :
      ( one != addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1)))
      & test(X0)
      & test(X1) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,plain,
    ~ ! [X0,X1] :
        ( ( test(X0)
          & test(X1) )
       => one = addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1))) ),
    inference(rectify,[],[f20]) ).

fof(f20,negated_conjecture,
    ~ ! [X3,X4] :
        ( ( test(X3)
          & test(X4) )
       => one = addition(addition(multiplication(addition(X4,c(X4)),X3),multiplication(addition(X3,c(X3)),X4)),multiplication(c(X3),c(X4))) ),
    inference(negated_conjecture,[],[f19]) ).

fof(f19,conjecture,
    ! [X3,X4] :
      ( ( test(X3)
        & test(X4) )
     => one = addition(addition(multiplication(addition(X4,c(X4)),X3),multiplication(addition(X3,c(X3)),X4)),multiplication(c(X3),c(X4))) ),
    file('/export/starexec/sandbox/tmp/tmp.QIPp1GDMRg/Vampire---4.8_28888',goals) ).

fof(f88,plain,
    ( complement(sK2,sF7)
    | ~ test(sK2) ),
    inference(superposition,[],[f77,f78]) ).

fof(f78,plain,
    c(sK2) = sF7,
    introduced(function_definition,[new_symbols(definition,[sF7])]) ).

fof(f77,plain,
    ! [X0] :
      ( complement(X0,c(X0))
      | ~ test(X0) ),
    inference(equality_resolution,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( complement(X0,X1)
      | c(X0) != X1
      | ~ test(X0) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ( ( c(X0) = X1
          | ~ complement(X0,X1) )
        & ( complement(X0,X1)
          | c(X0) != X1 ) )
      | ~ test(X0) ),
    inference(nnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ( c(X0) = X1
      <=> complement(X0,X1) )
      | ~ test(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( test(X0)
     => ( c(X0) = X1
      <=> complement(X0,X1) ) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X3,X4] :
      ( test(X3)
     => ( c(X3) = X4
      <=> complement(X3,X4) ) ),
    file('/export/starexec/sandbox/tmp/tmp.QIPp1GDMRg/Vampire---4.8_28888',test_3) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ complement(X1,X0)
      | addition(X0,X1) = one ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ( complement(X1,X0)
        | addition(X0,X1) != one
        | zero != multiplication(X1,X0)
        | zero != multiplication(X0,X1) )
      & ( ( addition(X0,X1) = one
          & zero = multiplication(X1,X0)
          & zero = multiplication(X0,X1) )
        | ~ complement(X1,X0) ) ),
    inference(flattening,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ( complement(X1,X0)
        | addition(X0,X1) != one
        | zero != multiplication(X1,X0)
        | zero != multiplication(X0,X1) )
      & ( ( addition(X0,X1) = one
          & zero = multiplication(X1,X0)
          & zero = multiplication(X0,X1) )
        | ~ complement(X1,X0) ) ),
    inference(nnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( complement(X1,X0)
    <=> ( addition(X0,X1) = one
        & zero = multiplication(X1,X0)
        & zero = multiplication(X0,X1) ) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X3,X4] :
      ( complement(X4,X3)
    <=> ( one = addition(X3,X4)
        & zero = multiplication(X4,X3)
        & zero = multiplication(X3,X4) ) ),
    file('/export/starexec/sandbox/tmp/tmp.QIPp1GDMRg/Vampire---4.8_28888',test_2) ).

fof(f80,plain,
    multiplication(sF8,sK1) = sF9,
    introduced(function_definition,[new_symbols(definition,[sF9])]) ).

fof(f120,plain,
    sF13 = addition(sF9,sK2),
    inference(backward_demodulation,[],[f84,f119]) ).

fof(f119,plain,
    sK2 = sF12,
    inference(forward_demodulation,[],[f118,f52]) ).

fof(f118,plain,
    sF12 = multiplication(one,sK2),
    inference(backward_demodulation,[],[f83,f116]) ).

fof(f116,plain,
    one = sF11,
    inference(forward_demodulation,[],[f112,f82]) ).

fof(f82,plain,
    addition(sK1,sF10) = sF11,
    introduced(function_definition,[new_symbols(definition,[sF11])]) ).

fof(f112,plain,
    one = addition(sK1,sF10),
    inference(superposition,[],[f110,f46]) ).

fof(f110,plain,
    one = addition(sF10,sK1),
    inference(resolution,[],[f61,f91]) ).

fof(f91,plain,
    complement(sK1,sF10),
    inference(subsumption_resolution,[],[f89,f69]) ).

fof(f69,plain,
    test(sK1),
    inference(cnf_transformation,[],[f45]) ).

fof(f89,plain,
    ( complement(sK1,sF10)
    | ~ test(sK1) ),
    inference(superposition,[],[f77,f81]) ).

fof(f81,plain,
    c(sK1) = sF10,
    introduced(function_definition,[new_symbols(definition,[sF10])]) ).

fof(f83,plain,
    multiplication(sF11,sK2) = sF12,
    introduced(function_definition,[new_symbols(definition,[sF12])]) ).

fof(f84,plain,
    addition(sF9,sF12) = sF13,
    introduced(function_definition,[new_symbols(definition,[sF13])]) ).

fof(f461,plain,
    multiplication(sF10,sF7) = c(addition(sK1,sK2)),
    inference(forward_demodulation,[],[f455,f81]) ).

fof(f455,plain,
    c(addition(sK1,sK2)) = multiplication(c(sK1),sF7),
    inference(resolution,[],[f351,f69]) ).

fof(f351,plain,
    ! [X0] :
      ( ~ test(X0)
      | c(addition(X0,sK2)) = multiplication(c(X0),sF7) ),
    inference(forward_demodulation,[],[f347,f78]) ).

fof(f347,plain,
    ! [X0] :
      ( c(addition(X0,sK2)) = multiplication(c(X0),c(sK2))
      | ~ test(X0) ),
    inference(resolution,[],[f66,f68]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ~ test(X1)
      | c(addition(X0,X1)) = multiplication(c(X0),c(X1))
      | ~ test(X0) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( c(addition(X0,X1)) = multiplication(c(X0),c(X1))
      | ~ test(X1)
      | ~ test(X0) ),
    inference(flattening,[],[f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( c(addition(X0,X1)) = multiplication(c(X0),c(X1))
      | ~ test(X1)
      | ~ test(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ( test(X1)
        & test(X0) )
     => c(addition(X0,X1)) = multiplication(c(X0),c(X1)) ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X3,X4] :
      ( ( test(X4)
        & test(X3) )
     => c(addition(X3,X4)) = multiplication(c(X3),c(X4)) ),
    file('/export/starexec/sandbox/tmp/tmp.QIPp1GDMRg/Vampire---4.8_28888',test_deMorgan1) ).

fof(f4472,plain,
    ( one = addition(c(sF13),sF13)
    | ~ spl16_1 ),
    inference(resolution,[],[f467,f108]) ).

fof(f108,plain,
    ! [X0] :
      ( ~ test(X0)
      | one = addition(c(X0),X0) ),
    inference(resolution,[],[f61,f77]) ).

fof(f467,plain,
    ( test(sF13)
    | ~ spl16_1 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f466,plain,
    ( spl16_1
  <=> test(sF13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).

fof(f87,plain,
    sP6(sF15),
    inference(definition_folding,[],[f76,f86,f85,f78,f81,f84,f83,f82,f81,f80,f79,f78]) ).

fof(f76,plain,
    sP6(addition(addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(addition(sK1,c(sK1)),sK2)),multiplication(c(sK1),c(sK2)))),
    inference(inequality_splitting,[],[f70,f75]) ).

fof(f70,plain,
    one != addition(addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(addition(sK1,c(sK1)),sK2)),multiplication(c(sK1),c(sK2))),
    inference(cnf_transformation,[],[f45]) ).

fof(f4372,plain,
    spl16_1,
    inference(avatar_contradiction_clause,[],[f4371]) ).

fof(f4371,plain,
    ( $false
    | spl16_1 ),
    inference(subsumption_resolution,[],[f4326,f75]) ).

fof(f4326,plain,
    ( sP6(one)
    | spl16_1 ),
    inference(backward_demodulation,[],[f521,f4310]) ).

fof(f4310,plain,
    ( one = sF13
    | spl16_1 ),
    inference(forward_demodulation,[],[f4309,f3488]) ).

fof(f3488,plain,
    one = addition(sF13,sF7),
    inference(backward_demodulation,[],[f416,f3461]) ).

fof(f3461,plain,
    one = addition(sK1,one),
    inference(superposition,[],[f160,f117]) ).

fof(f117,plain,
    one = addition(sK1,sF10),
    inference(backward_demodulation,[],[f82,f116]) ).

fof(f160,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
    inference(superposition,[],[f47,f49]) ).

fof(f49,plain,
    ! [X0] : addition(X0,X0) = X0,
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] : addition(X0,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.QIPp1GDMRg/Vampire---4.8_28888',additive_idempotence) ).

fof(f47,plain,
    ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
    file('/export/starexec/sandbox/tmp/tmp.QIPp1GDMRg/Vampire---4.8_28888',additive_associativity) ).

fof(f416,plain,
    addition(sK1,one) = addition(sF13,sF7),
    inference(superposition,[],[f166,f136]) ).

fof(f136,plain,
    one = addition(sK2,sF7),
    inference(backward_demodulation,[],[f79,f135]) ).

fof(f166,plain,
    ! [X0] : addition(sK1,addition(sK2,X0)) = addition(sF13,X0),
    inference(superposition,[],[f47,f140]) ).

fof(f4309,plain,
    ( sF13 = addition(sF13,sF7)
    | spl16_1 ),
    inference(forward_demodulation,[],[f4308,f51]) ).

fof(f51,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox/tmp/tmp.QIPp1GDMRg/Vampire---4.8_28888',multiplicative_right_identity) ).

fof(f4308,plain,
    ( addition(sF13,sF7) = multiplication(sF13,one)
    | spl16_1 ),
    inference(forward_demodulation,[],[f4218,f443]) ).

fof(f443,plain,
    one = addition(one,sF7),
    inference(forward_demodulation,[],[f437,f136]) ).

fof(f437,plain,
    addition(sK2,sF7) = addition(one,sF7),
    inference(superposition,[],[f167,f49]) ).

fof(f167,plain,
    ! [X0] : addition(one,X0) = addition(sK2,addition(sF7,X0)),
    inference(superposition,[],[f47,f136]) ).

fof(f4218,plain,
    ( addition(sF13,sF7) = multiplication(sF13,addition(one,sF7))
    | spl16_1 ),
    inference(superposition,[],[f212,f2246]) ).

fof(f2246,plain,
    ( sF7 = multiplication(sF13,sF7)
    | spl16_1 ),
    inference(forward_demodulation,[],[f2245,f52]) ).

fof(f2245,plain,
    ( multiplication(one,sF7) = multiplication(sF13,sF7)
    | spl16_1 ),
    inference(forward_demodulation,[],[f2241,f326]) ).

fof(f326,plain,
    ! [X0] : multiplication(addition(sK2,X0),sF7) = multiplication(X0,sF7),
    inference(forward_demodulation,[],[f292,f92]) ).

fof(f92,plain,
    ! [X0] : addition(zero,X0) = X0,
    inference(superposition,[],[f46,f48]) ).

fof(f48,plain,
    ! [X0] : addition(X0,zero) = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : addition(X0,zero) = X0,
    file('/export/starexec/sandbox/tmp/tmp.QIPp1GDMRg/Vampire---4.8_28888',additive_identity) ).

fof(f292,plain,
    ! [X0] : multiplication(addition(sK2,X0),sF7) = addition(zero,multiplication(X0,sF7)),
    inference(superposition,[],[f54,f107]) ).

fof(f107,plain,
    zero = multiplication(sK2,sF7),
    inference(resolution,[],[f60,f90]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ~ complement(X1,X0)
      | zero = multiplication(X1,X0) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f54,plain,
    ! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.QIPp1GDMRg/Vampire---4.8_28888',left_distributivity) ).

fof(f2241,plain,
    ( multiplication(sF13,sF7) = multiplication(addition(sK2,one),sF7)
    | spl16_1 ),
    inference(superposition,[],[f527,f2221]) ).

fof(f2221,plain,
    addition(sK2,one) = addition(sF13,sF10),
    inference(superposition,[],[f168,f117]) ).

fof(f168,plain,
    ! [X0] : addition(sF13,X0) = addition(sK2,addition(sK1,X0)),
    inference(superposition,[],[f47,f139]) ).

fof(f139,plain,
    sF13 = addition(sK2,sK1),
    inference(backward_demodulation,[],[f121,f138]) ).

fof(f121,plain,
    sF13 = addition(sK2,sF9),
    inference(superposition,[],[f120,f46]) ).

fof(f527,plain,
    ( ! [X0] : multiplication(X0,sF7) = multiplication(addition(X0,sF10),sF7)
    | spl16_1 ),
    inference(forward_demodulation,[],[f512,f48]) ).

fof(f512,plain,
    ( ! [X0] : addition(multiplication(X0,sF7),zero) = multiplication(addition(X0,sF10),sF7)
    | spl16_1 ),
    inference(backward_demodulation,[],[f308,f503]) ).

fof(f503,plain,
    ( zero = sF14
    | spl16_1 ),
    inference(forward_demodulation,[],[f501,f463]) ).

fof(f501,plain,
    ( zero = c(sF13)
    | spl16_1 ),
    inference(resolution,[],[f468,f65]) ).

fof(f65,plain,
    ! [X0] :
      ( test(X0)
      | zero = c(X0) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0] :
      ( zero = c(X0)
      | test(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0] :
      ( ~ test(X0)
     => zero = c(X0) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X3] :
      ( ~ test(X3)
     => zero = c(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.QIPp1GDMRg/Vampire---4.8_28888',test_4) ).

fof(f468,plain,
    ( ~ test(sF13)
    | spl16_1 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f308,plain,
    ! [X0] : multiplication(addition(X0,sF10),sF7) = addition(multiplication(X0,sF7),sF14),
    inference(superposition,[],[f54,f85]) ).

fof(f212,plain,
    ! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
    inference(superposition,[],[f53,f51]) ).

fof(f53,plain,
    ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    file('/export/starexec/sandbox/tmp/tmp.QIPp1GDMRg/Vampire---4.8_28888',right_distributivity) ).

fof(f521,plain,
    ( sP6(sF13)
    | spl16_1 ),
    inference(backward_demodulation,[],[f87,f520]) ).

fof(f520,plain,
    ( sF13 = sF15
    | spl16_1 ),
    inference(forward_demodulation,[],[f505,f48]) ).

fof(f505,plain,
    ( sF15 = addition(sF13,zero)
    | spl16_1 ),
    inference(backward_demodulation,[],[f86,f503]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : KLE011+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n007.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 Apr 30 18:31:48 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.QIPp1GDMRg/Vampire---4.8_28888
% 0.59/0.75  % (29138)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 (2996ds/83Mi)
% 0.59/0.76  % (29132)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 (2996ds/34Mi)
% 0.59/0.76  % (29134)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.76  % (29133)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 (2996ds/51Mi)
% 0.59/0.76  % (29135)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.59/0.76  % (29136)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 (2996ds/34Mi)
% 0.59/0.76  % (29137)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.59/0.76  % (29136)Refutation not found, incomplete strategy% (29136)------------------------------
% 0.59/0.76  % (29136)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76  % (29136)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (29136)Memory used [KB]: 1067
% 0.59/0.76  % (29136)Time elapsed: 0.003 s
% 0.59/0.76  % (29136)Instructions burned: 3 (million)
% 0.59/0.76  % (29136)------------------------------
% 0.59/0.76  % (29136)------------------------------
% 0.59/0.76  % (29137)Refutation not found, incomplete strategy% (29137)------------------------------
% 0.59/0.76  % (29137)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76  % (29139)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 (2996ds/56Mi)
% 0.59/0.76  % (29132)Refutation not found, incomplete strategy% (29132)------------------------------
% 0.59/0.76  % (29132)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76  % (29132)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (29132)Memory used [KB]: 1069
% 0.59/0.76  % (29132)Time elapsed: 0.004 s
% 0.59/0.76  % (29132)Instructions burned: 4 (million)
% 0.59/0.76  % (29132)------------------------------
% 0.59/0.76  % (29132)------------------------------
% 0.59/0.76  % (29137)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (29137)Memory used [KB]: 1051
% 0.59/0.76  % (29137)Time elapsed: 0.003 s
% 0.59/0.76  % (29137)Instructions burned: 4 (million)
% 0.59/0.76  % (29137)------------------------------
% 0.59/0.76  % (29137)------------------------------
% 0.59/0.76  % (29135)Refutation not found, incomplete strategy% (29135)------------------------------
% 0.59/0.76  % (29135)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76  % (29135)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (29135)Memory used [KB]: 1065
% 0.59/0.76  % (29135)Time elapsed: 0.004 s
% 0.59/0.76  % (29135)Instructions burned: 4 (million)
% 0.59/0.76  % (29135)------------------------------
% 0.59/0.76  % (29135)------------------------------
% 0.59/0.76  % (29139)Refutation not found, incomplete strategy% (29139)------------------------------
% 0.59/0.76  % (29139)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76  % (29139)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (29139)Memory used [KB]: 984
% 0.59/0.76  % (29139)Time elapsed: 0.003 s
% 0.59/0.76  % (29139)Instructions burned: 2 (million)
% 0.59/0.76  % (29139)------------------------------
% 0.59/0.76  % (29139)------------------------------
% 0.59/0.76  % (29140)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 (2996ds/55Mi)
% 0.59/0.76  % (29141)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 (2996ds/50Mi)
% 0.59/0.76  % (29142)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 (2996ds/208Mi)
% 0.59/0.76  % (29143)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 (2996ds/52Mi)
% 0.59/0.76  % (29144)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 (2996ds/518Mi)
% 0.59/0.78  % (29138)Instruction limit reached!
% 0.59/0.78  % (29138)------------------------------
% 0.59/0.78  % (29138)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78  % (29138)Termination reason: Unknown
% 0.59/0.78  % (29138)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (29138)Memory used [KB]: 1939
% 0.59/0.78  % (29138)Time elapsed: 0.026 s
% 0.59/0.78  % (29138)Instructions burned: 84 (million)
% 0.59/0.78  % (29138)------------------------------
% 0.59/0.78  % (29138)------------------------------
% 0.59/0.78  % (29145)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)
% 0.59/0.78  % (29145)Refutation not found, incomplete strategy% (29145)------------------------------
% 0.59/0.78  % (29145)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78  % (29145)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78  
% 0.59/0.78  % (29145)Memory used [KB]: 1053
% 0.59/0.78  % (29145)Time elapsed: 0.002 s
% 0.59/0.78  % (29145)Instructions burned: 3 (million)
% 0.59/0.78  % (29145)------------------------------
% 0.59/0.78  % (29145)------------------------------
% 0.59/0.78  % (29133)Instruction limit reached!
% 0.59/0.78  % (29133)------------------------------
% 0.59/0.78  % (29133)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78  % (29133)Termination reason: Unknown
% 0.59/0.78  % (29133)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (29133)Memory used [KB]: 1669
% 0.59/0.78  % (29133)Time elapsed: 0.030 s
% 0.59/0.78  % (29133)Instructions burned: 51 (million)
% 0.59/0.78  % (29133)------------------------------
% 0.59/0.78  % (29133)------------------------------
% 0.59/0.79  % (29146)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)
% 0.59/0.79  % (29147)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)
% 0.59/0.79  % (29141)Instruction limit reached!
% 0.59/0.79  % (29141)------------------------------
% 0.59/0.79  % (29141)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.79  % (29141)Termination reason: Unknown
% 0.59/0.79  % (29141)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (29141)Memory used [KB]: 1325
% 0.59/0.79  % (29141)Time elapsed: 0.027 s
% 0.59/0.79  % (29141)Instructions burned: 50 (million)
% 0.59/0.79  % (29141)------------------------------
% 0.59/0.79  % (29141)------------------------------
% 0.59/0.79  % (29143)Instruction limit reached!
% 0.59/0.79  % (29143)------------------------------
% 0.59/0.79  % (29143)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.79  % (29147)Refutation not found, incomplete strategy% (29147)------------------------------
% 0.59/0.79  % (29147)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.79  % (29147)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.79  
% 0.59/0.79  % (29147)Memory used [KB]: 984
% 0.59/0.79  % (29147)Time elapsed: 0.003 s
% 0.59/0.79  % (29147)Instructions burned: 3 (million)
% 0.59/0.79  % (29147)------------------------------
% 0.59/0.79  % (29147)------------------------------
% 0.59/0.79  % (29143)Termination reason: Unknown
% 0.59/0.79  % (29143)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (29143)Memory used [KB]: 1510
% 0.59/0.79  % (29143)Time elapsed: 0.028 s
% 0.59/0.79  % (29143)Instructions burned: 53 (million)
% 0.59/0.79  % (29143)------------------------------
% 0.59/0.79  % (29143)------------------------------
% 0.59/0.79  % (29140)Instruction limit reached!
% 0.59/0.79  % (29140)------------------------------
% 0.59/0.79  % (29140)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.79  % (29140)Termination reason: Unknown
% 0.59/0.79  % (29140)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (29140)Memory used [KB]: 1224
% 0.59/0.79  % (29140)Time elapsed: 0.030 s
% 0.59/0.79  % (29140)Instructions burned: 55 (million)
% 0.59/0.79  % (29140)------------------------------
% 0.59/0.79  % (29140)------------------------------
% 0.59/0.79  % (29148)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)
% 0.59/0.79  % (29149)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)
% 0.59/0.79  % (29150)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)
% 0.59/0.79  % (29151)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.59/0.80  % (29148)Refutation not found, incomplete strategy% (29148)------------------------------
% 0.59/0.80  % (29148)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.80  % (29148)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80  
% 0.59/0.80  % (29148)Memory used [KB]: 1073
% 0.59/0.80  % (29148)Time elapsed: 0.005 s
% 0.59/0.80  % (29148)Instructions burned: 6 (million)
% 0.59/0.80  % (29148)------------------------------
% 0.59/0.80  % (29148)------------------------------
% 0.77/0.80  % (29134)Instruction limit reached!
% 0.77/0.80  % (29134)------------------------------
% 0.77/0.80  % (29134)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.77/0.80  % (29134)Termination reason: Unknown
% 0.77/0.80  % (29134)Termination phase: Saturation
% 0.77/0.80  
% 0.77/0.80  % (29134)Memory used [KB]: 1637
% 0.77/0.80  % (29134)Time elapsed: 0.045 s
% 0.77/0.80  % (29134)Instructions burned: 78 (million)
% 0.77/0.80  % (29134)------------------------------
% 0.77/0.80  % (29134)------------------------------
% 0.77/0.80  % (29152)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.77/0.80  % (29153)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2995ds/55Mi)
% 0.77/0.81  % (29151)Instruction limit reached!
% 0.77/0.81  % (29151)------------------------------
% 0.77/0.81  % (29151)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.77/0.81  % (29151)Termination reason: Unknown
% 0.77/0.81  % (29151)Termination phase: Saturation
% 0.77/0.81  
% 0.77/0.81  % (29151)Memory used [KB]: 1339
% 0.77/0.81  % (29151)Time elapsed: 0.019 s
% 0.77/0.81  % (29151)Instructions burned: 32 (million)
% 0.77/0.81  % (29151)------------------------------
% 0.77/0.81  % (29151)------------------------------
% 0.77/0.82  % (29154)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2995ds/53Mi)
% 0.77/0.83  % (29150)Instruction limit reached!
% 0.77/0.83  % (29150)------------------------------
% 0.77/0.83  % (29150)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.77/0.83  % (29150)Termination reason: Unknown
% 0.77/0.83  % (29150)Termination phase: Saturation
% 0.77/0.83  
% 0.77/0.83  % (29150)Memory used [KB]: 1810
% 0.77/0.83  % (29150)Time elapsed: 0.034 s
% 0.77/0.83  % (29150)Instructions burned: 62 (million)
% 0.77/0.83  % (29150)------------------------------
% 0.77/0.83  % (29150)------------------------------
% 0.77/0.83  % (29155)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2995ds/46Mi)
% 0.77/0.83  % (29155)Refutation not found, incomplete strategy% (29155)------------------------------
% 0.77/0.83  % (29155)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.77/0.83  % (29155)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.83  
% 0.77/0.83  % (29155)Memory used [KB]: 1066
% 0.77/0.83  % (29155)Time elapsed: 0.003 s
% 0.77/0.83  % (29155)Instructions burned: 3 (million)
% 0.77/0.83  % (29155)------------------------------
% 0.77/0.83  % (29155)------------------------------
% 0.77/0.83  % (29153)Instruction limit reached!
% 0.77/0.83  % (29153)------------------------------
% 0.77/0.83  % (29153)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.77/0.83  % (29153)Termination reason: Unknown
% 0.77/0.83  % (29153)Termination phase: Saturation
% 0.77/0.83  
% 0.77/0.83  % (29153)Memory used [KB]: 2063
% 0.77/0.83  % (29153)Time elapsed: 0.031 s
% 0.77/0.83  % (29153)Instructions burned: 56 (million)
% 0.77/0.83  % (29153)------------------------------
% 0.77/0.83  % (29153)------------------------------
% 0.77/0.84  % (29156)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2995ds/102Mi)
% 0.77/0.84  % (29157)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2995ds/35Mi)
% 0.92/0.85  % (29154)Instruction limit reached!
% 0.92/0.85  % (29154)------------------------------
% 0.92/0.85  % (29154)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.85  % (29154)Termination reason: Unknown
% 0.92/0.85  % (29154)Termination phase: Saturation
% 0.92/0.85  
% 0.92/0.85  % (29154)Memory used [KB]: 1558
% 0.92/0.85  % (29154)Time elapsed: 0.031 s
% 0.92/0.85  % (29154)Instructions burned: 53 (million)
% 0.92/0.85  % (29154)------------------------------
% 0.92/0.85  % (29154)------------------------------
% 0.92/0.85  % (29149)Instruction limit reached!
% 0.92/0.85  % (29149)------------------------------
% 0.92/0.85  % (29149)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.85  % (29149)Termination reason: Unknown
% 0.92/0.85  % (29149)Termination phase: Saturation
% 0.92/0.85  
% 0.92/0.85  % (29149)Memory used [KB]: 2068
% 0.92/0.85  % (29149)Time elapsed: 0.054 s
% 0.92/0.85  % (29149)Instructions burned: 93 (million)
% 0.92/0.85  % (29149)------------------------------
% 0.92/0.85  % (29149)------------------------------
% 0.92/0.85  % (29158)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 0.92/0.85  % (29159)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2995ds/109Mi)
% 0.92/0.86  % (29146)Instruction limit reached!
% 0.92/0.86  % (29146)------------------------------
% 0.92/0.86  % (29146)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.86  % (29146)Termination reason: Unknown
% 0.92/0.86  % (29146)Termination phase: Saturation
% 0.92/0.86  
% 0.92/0.86  % (29146)Memory used [KB]: 2856
% 0.92/0.86  % (29146)Time elapsed: 0.069 s
% 0.92/0.86  % (29146)Instructions burned: 243 (million)
% 0.92/0.86  % (29146)------------------------------
% 0.92/0.86  % (29146)------------------------------
% 0.92/0.86  % (29157)Instruction limit reached!
% 0.92/0.86  % (29157)------------------------------
% 0.92/0.86  % (29157)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.86  % (29157)Termination reason: Unknown
% 0.92/0.86  % (29157)Termination phase: Saturation
% 0.92/0.86  
% 0.92/0.86  % (29157)Memory used [KB]: 1191
% 0.92/0.86  % (29157)Time elapsed: 0.043 s
% 0.92/0.86  % (29157)Instructions burned: 35 (million)
% 0.92/0.86  % (29157)------------------------------
% 0.92/0.86  % (29157)------------------------------
% 0.92/0.86  % (29160)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2995ds/161Mi)
% 0.92/0.86  % (29160)Refutation not found, incomplete strategy% (29160)------------------------------
% 0.92/0.86  % (29160)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.86  % (29160)Termination reason: Refutation not found, incomplete strategy
% 0.92/0.86  
% 0.92/0.86  % (29160)Memory used [KB]: 1051
% 0.92/0.86  % (29160)Time elapsed: 0.002 s
% 0.92/0.86  % (29160)Instructions burned: 3 (million)
% 0.92/0.86  % (29160)------------------------------
% 0.92/0.86  % (29160)------------------------------
% 0.92/0.86  % (29161)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2995ds/69Mi)
% 0.92/0.86  % (29162)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2995ds/40Mi)
% 0.92/0.86  % (29161)Refutation not found, incomplete strategy% (29161)------------------------------
% 0.92/0.86  % (29161)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.86  % (29161)Termination reason: Refutation not found, incomplete strategy
% 0.92/0.86  
% 0.92/0.86  % (29161)Memory used [KB]: 1077
% 0.92/0.86  % (29161)Time elapsed: 0.028 s
% 0.92/0.86  % (29161)Instructions burned: 5 (million)
% 0.92/0.86  % (29161)------------------------------
% 0.92/0.86  % (29161)------------------------------
% 0.92/0.87  % (29163)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2994ds/360Mi)
% 0.92/0.88  % (29162)Instruction limit reached!
% 0.92/0.88  % (29162)------------------------------
% 0.92/0.88  % (29162)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.88  % (29162)Termination reason: Unknown
% 0.92/0.88  % (29162)Termination phase: Saturation
% 0.92/0.88  
% 0.92/0.88  % (29162)Memory used [KB]: 1490
% 0.92/0.88  % (29162)Time elapsed: 0.038 s
% 0.92/0.88  % (29162)Instructions burned: 41 (million)
% 0.92/0.88  % (29162)------------------------------
% 0.92/0.88  % (29162)------------------------------
% 0.92/0.88  % (29142)Instruction limit reached!
% 0.92/0.88  % (29142)------------------------------
% 0.92/0.88  % (29142)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.88  % (29142)Termination reason: Unknown
% 0.92/0.88  % (29142)Termination phase: Saturation
% 0.92/0.88  
% 0.92/0.88  % (29142)Memory used [KB]: 2773
% 0.92/0.88  % (29142)Time elapsed: 0.117 s
% 0.92/0.88  % (29142)Instructions burned: 209 (million)
% 0.92/0.88  % (29142)------------------------------
% 0.92/0.88  % (29142)------------------------------
% 0.92/0.88  % (29164)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2994ds/161Mi)
% 0.92/0.88  % (29165)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2994ds/80Mi)
% 0.92/0.89  % (29158)Instruction limit reached!
% 0.92/0.89  % (29158)------------------------------
% 0.92/0.89  % (29158)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.89  % (29158)Termination reason: Unknown
% 0.92/0.89  % (29158)Termination phase: Saturation
% 0.92/0.89  
% 0.92/0.89  % (29158)Memory used [KB]: 1621
% 0.92/0.89  % (29158)Time elapsed: 0.065 s
% 0.92/0.89  % (29158)Instructions burned: 87 (million)
% 0.92/0.89  % (29158)------------------------------
% 0.92/0.89  % (29158)------------------------------
% 0.92/0.89  % (29156)Instruction limit reached!
% 0.92/0.89  % (29156)------------------------------
% 0.92/0.89  % (29156)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.89  % (29156)Termination reason: Unknown
% 0.92/0.89  % (29166)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2994ds/37Mi)
% 0.92/0.89  % (29156)Termination phase: Saturation
% 0.92/0.89  
% 0.92/0.89  % (29156)Memory used [KB]: 2442
% 0.92/0.89  % (29156)Time elapsed: 0.080 s
% 0.92/0.89  % (29156)Instructions burned: 102 (million)
% 0.92/0.89  % (29156)------------------------------
% 0.92/0.89  % (29156)------------------------------
% 0.92/0.90  % (29167)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2994ds/55Mi)
% 0.92/0.90  % (29165)Instruction limit reached!
% 0.92/0.90  % (29165)------------------------------
% 0.92/0.90  % (29165)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.90  % (29165)Termination reason: Unknown
% 0.92/0.90  % (29165)Termination phase: Saturation
% 0.92/0.90  
% 0.92/0.90  % (29165)Memory used [KB]: 1636
% 0.92/0.90  % (29165)Time elapsed: 0.025 s
% 0.92/0.90  % (29165)Instructions burned: 81 (million)
% 0.92/0.90  % (29165)------------------------------
% 0.92/0.90  % (29165)------------------------------
% 0.92/0.91  % (29168)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on Vampire---4 for (2994ds/47Mi)
% 0.92/0.91  % (29166)Instruction limit reached!
% 0.92/0.91  % (29166)------------------------------
% 0.92/0.91  % (29166)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.91  % (29166)Termination reason: Unknown
% 0.92/0.91  % (29166)Termination phase: Saturation
% 0.92/0.91  
% 0.92/0.91  % (29166)Memory used [KB]: 1501
% 0.92/0.91  % (29166)Time elapsed: 0.016 s
% 0.92/0.91  % (29166)Instructions burned: 37 (million)
% 0.92/0.91  % (29166)------------------------------
% 0.92/0.91  % (29166)------------------------------
% 0.92/0.91  % (29159)Instruction limit reached!
% 0.92/0.91  % (29159)------------------------------
% 0.92/0.91  % (29159)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.91  % (29159)Termination reason: Unknown
% 0.92/0.91  % (29159)Termination phase: Saturation
% 0.92/0.91  
% 0.92/0.91  % (29159)Memory used [KB]: 1870
% 0.92/0.91  % (29159)Time elapsed: 0.082 s
% 0.92/0.91  % (29159)Instructions burned: 110 (million)
% 0.92/0.91  % (29159)------------------------------
% 0.92/0.91  % (29159)------------------------------
% 0.92/0.91  % (29169)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2994ds/32Mi)
% 0.92/0.91  % (29169)Refutation not found, incomplete strategy% (29169)------------------------------
% 0.92/0.91  % (29169)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.91  % (29169)Termination reason: Refutation not found, incomplete strategy
% 0.92/0.91  
% 0.92/0.91  % (29169)Memory used [KB]: 1068
% 0.92/0.91  % (29169)Time elapsed: 0.002 s
% 0.92/0.91  % (29169)Instructions burned: 4 (million)
% 0.92/0.91  % (29169)------------------------------
% 0.92/0.91  % (29169)------------------------------
% 0.92/0.91  % (29170)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on Vampire---4 for (2994ds/132Mi)
% 0.92/0.91  % (29171)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on Vampire---4 for (2994ds/54Mi)
% 0.92/0.91  % (29170)Refutation not found, incomplete strategy% (29170)------------------------------
% 0.92/0.91  % (29170)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.91  % (29171)Refutation not found, incomplete strategy% (29171)------------------------------
% 0.92/0.91  % (29171)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.91  % (29170)Termination reason: Refutation not found, incomplete strategy
% 0.92/0.91  
% 0.92/0.91  % (29170)Memory used [KB]: 1064
% 0.92/0.91  % (29170)Time elapsed: 0.004 s
% 0.92/0.91  % (29170)Instructions burned: 4 (million)
% 0.92/0.91  % (29170)------------------------------
% 0.92/0.91  % (29170)------------------------------
% 0.92/0.91  % (29171)Termination reason: Refutation not found, incomplete strategy
% 0.92/0.91  
% 0.92/0.91  % (29171)Memory used [KB]: 985
% 0.92/0.91  % (29171)Time elapsed: 0.001 s
% 0.92/0.91  % (29171)Instructions burned: 2 (million)
% 0.92/0.91  % (29171)------------------------------
% 0.92/0.91  % (29171)------------------------------
% 0.92/0.92  % (29167)Instruction limit reached!
% 0.92/0.92  % (29167)------------------------------
% 0.92/0.92  % (29167)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.92  % (29167)Termination reason: Unknown
% 0.92/0.92  % (29167)Termination phase: Saturation
% 0.92/0.92  
% 0.92/0.92  % (29167)Memory used [KB]: 1677
% 0.92/0.92  % (29167)Time elapsed: 0.020 s
% 0.92/0.92  % (29167)Instructions burned: 55 (million)
% 0.92/0.92  % (29167)------------------------------
% 0.92/0.92  % (29167)------------------------------
% 0.92/0.92  % (29172)lrs+1011_1:2_to=lpo:drc=off:sil=2000:sp=const_min:urr=on:lcm=predicate:nwc=16.7073:updr=off:newcnf=on:i=82:av=off:rawr=on:ss=included:st=5.0:erd=off:flr=on_0 on Vampire---4 for (2994ds/82Mi)
% 0.92/0.92  % (29174)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=177:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on Vampire---4 for (2994ds/177Mi)
% 0.92/0.92  % (29168)Refutation not found, incomplete strategy% (29168)------------------------------
% 0.92/0.92  % (29168)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.92  % (29168)Termination reason: Refutation not found, incomplete strategy
% 0.92/0.92  
% 0.92/0.92  % (29168)Memory used [KB]: 1265
% 0.92/0.92  % (29168)Time elapsed: 0.012 s
% 0.92/0.92  % (29168)Instructions burned: 40 (million)
% 0.92/0.92  % (29168)------------------------------
% 0.92/0.92  % (29168)------------------------------
% 0.92/0.92  % (29173)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=119:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on Vampire---4 for (2994ds/119Mi)
% 0.92/0.92  % (29175)lrs+1002_263:262144_sfv=off:to=lpo:drc=encompass:sil=2000:tgt=full:fde=none:bsd=on:sp=const_frequency:spb=units:fd=preordered:nwc=12.504039574721643:lwlo=on:i=117:awrs=converge:awrsf=1360:bsdmm=3:bd=off:nm=11:fsd=on:amm=off:uhcvi=on:afr=on:rawr=on:fsdmm=1:updr=off:sac=on:fdi=16_0 on Vampire---4 for (2994ds/117Mi)
% 0.92/0.92  % (29164)Instruction limit reached!
% 0.92/0.92  % (29164)------------------------------
% 0.92/0.92  % (29164)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.92/0.92  % (29164)Termination reason: Unknown
% 0.92/0.92  % (29164)Termination phase: Saturation
% 0.92/0.92  
% 0.92/0.92  % (29164)Memory used [KB]: 2437
% 0.92/0.92  % (29164)Time elapsed: 0.044 s
% 0.92/0.92  % (29164)Instructions burned: 162 (million)
% 0.92/0.92  % (29164)------------------------------
% 0.92/0.92  % (29164)------------------------------
% 0.92/0.94  % (29178)dis+1011_1:128_sil=2000:plsq=on:sp=frequency:plsql=on:nicw=on:i=49:kws=precedence:bd=off:fsr=off:ss=axioms:sgt=64:sd=3_0 on Vampire---4 for (2994ds/49Mi)
% 1.56/0.94  % (29163)First to succeed.
% 1.56/0.95  % (29163)Refutation found. Thanks to Tanya!
% 1.56/0.95  % SZS status Theorem for Vampire---4
% 1.56/0.95  % SZS output start Proof for Vampire---4
% See solution above
% 1.56/0.95  % (29163)------------------------------
% 1.56/0.95  % (29163)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.56/0.95  % (29163)Termination reason: Refutation
% 1.56/0.95  
% 1.56/0.95  % (29163)Memory used [KB]: 2054
% 1.56/0.95  % (29163)Time elapsed: 0.079 s
% 1.56/0.95  % (29163)Instructions burned: 214 (million)
% 1.56/0.95  % (29163)------------------------------
% 1.56/0.95  % (29163)------------------------------
% 1.56/0.95  % (29128)Success in time 0.585 s
% 1.56/0.95  % Vampire---4.8 exiting
%------------------------------------------------------------------------------