TSTP Solution File: KLE027+4 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : KLE027+4 : TPTP v8.1.0. Released v4.0.0.
% 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 : n021.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 17:27:43 EDT 2022

% Result   : Theorem 2.19s 0.64s
% Output   : Refutation 2.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  112 (  41 unt;   0 def)
%            Number of atoms       :  248 (  88 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  227 (  91   ~;  79   |;  37   &)
%                                         (  10 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :  152 ( 127   !;  25   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1352,plain,
    $false,
    inference(avatar_sat_refutation,[],[f139,f1339,f1351]) ).

fof(f1351,plain,
    ( ~ spl6_1
    | spl6_2 ),
    inference(avatar_contradiction_clause,[],[f1350]) ).

fof(f1350,plain,
    ( $false
    | ~ spl6_1
    | spl6_2 ),
    inference(subsumption_resolution,[],[f1349,f1344]) ).

fof(f1344,plain,
    ( ~ leq(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)),addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)))
    | spl6_2 ),
    inference(forward_demodulation,[],[f1343,f948]) ).

fof(f948,plain,
    ! [X0] : multiplication(sK4,multiplication(sK4,X0)) = multiplication(sK4,X0),
    inference(superposition,[],[f76,f886]) ).

fof(f886,plain,
    sK4 = multiplication(sK4,sK4),
    inference(backward_demodulation,[],[f258,f874]) ).

fof(f874,plain,
    sK4 = c(c(sK4)),
    inference(unit_resulting_resolution,[],[f216,f864,f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ~ complement(X0,X1)
      | c(X0) = X1
      | ~ test(X0) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ~ test(X0)
      | ( ( complement(X0,X1)
          | c(X0) != X1 )
        & ( c(X0) = X1
          | ~ complement(X0,X1) ) ) ),
    inference(nnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( ~ test(X0)
      | ( complement(X0,X1)
      <=> c(X0) = X1 ) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X1,X0] :
      ( test(X0)
     => ( complement(X0,X1)
      <=> c(X0) = X1 ) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X3,X4] :
      ( test(X3)
     => ( complement(X3,X4)
      <=> c(X3) = X4 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_3) ).

fof(f864,plain,
    complement(c(sK4),sK4),
    inference(unit_resulting_resolution,[],[f217,f219,f458,f73]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( complement(X0,X1)
      | zero != multiplication(X0,X1)
      | zero != multiplication(X1,X0)
      | addition(X1,X0) != one ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ( complement(X0,X1)
        | zero != multiplication(X1,X0)
        | zero != multiplication(X0,X1)
        | addition(X1,X0) != one )
      & ( ( zero = multiplication(X1,X0)
          & zero = multiplication(X0,X1)
          & addition(X1,X0) = one )
        | ~ complement(X0,X1) ) ),
    inference(rectify,[],[f54]) ).

fof(f54,plain,
    ! [X1,X0] :
      ( ( complement(X1,X0)
        | zero != multiplication(X0,X1)
        | zero != multiplication(X1,X0)
        | addition(X0,X1) != one )
      & ( ( zero = multiplication(X0,X1)
          & zero = multiplication(X1,X0)
          & addition(X0,X1) = one )
        | ~ complement(X1,X0) ) ),
    inference(flattening,[],[f53]) ).

fof(f53,plain,
    ! [X1,X0] :
      ( ( complement(X1,X0)
        | zero != multiplication(X0,X1)
        | zero != multiplication(X1,X0)
        | addition(X0,X1) != one )
      & ( ( zero = multiplication(X0,X1)
          & zero = multiplication(X1,X0)
          & addition(X0,X1) = one )
        | ~ complement(X1,X0) ) ),
    inference(nnf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X1,X0] :
      ( complement(X1,X0)
    <=> ( zero = multiplication(X0,X1)
        & zero = multiplication(X1,X0)
        & addition(X0,X1) = one ) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X3,X4] :
      ( ( zero = multiplication(X4,X3)
        & zero = multiplication(X3,X4)
        & one = addition(X3,X4) )
    <=> complement(X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_2) ).

fof(f458,plain,
    one = addition(sK4,c(sK4)),
    inference(superposition,[],[f77,f220]) ).

fof(f220,plain,
    one = addition(c(sK4),sK4),
    inference(resolution,[],[f121,f70]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( ~ complement(X0,X1)
      | addition(X1,X0) = one ),
    inference(cnf_transformation,[],[f55]) ).

fof(f121,plain,
    complement(sK4,c(sK4)),
    inference(forward_demodulation,[],[f115,f82]) ).

fof(f82,plain,
    ! [X0] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] : multiplication(one,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).

fof(f115,plain,
    complement(sK4,multiplication(one,c(sK4))),
    inference(unit_resulting_resolution,[],[f82,f62,f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( complement(X0,X1)
      | c(X0) != X1
      | ~ test(X0) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f62,plain,
    test(sK4),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ( test(sK4)
    & test(sK3)
    & ( ~ leq(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)),addition(multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2))),multiplication(c(sK4),sK0)))
      | ~ leq(addition(multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2))),multiplication(c(sK4),sK0)),addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0))) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f43,f44]) ).

fof(f44,plain,
    ( ? [X0,X1,X2,X3,X4] :
        ( test(X4)
        & test(X3)
        & ( ~ leq(addition(multiplication(X4,X1),multiplication(c(X4),X0)),addition(multiplication(X4,addition(multiplication(X4,X1),multiplication(c(X4),X2))),multiplication(c(X4),X0)))
          | ~ leq(addition(multiplication(X4,addition(multiplication(X4,X1),multiplication(c(X4),X2))),multiplication(c(X4),X0)),addition(multiplication(X4,X1),multiplication(c(X4),X0))) ) )
   => ( test(sK4)
      & test(sK3)
      & ( ~ leq(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)),addition(multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2))),multiplication(c(sK4),sK0)))
        | ~ leq(addition(multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2))),multiplication(c(sK4),sK0)),addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0))) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f43,plain,
    ? [X0,X1,X2,X3,X4] :
      ( test(X4)
      & test(X3)
      & ( ~ leq(addition(multiplication(X4,X1),multiplication(c(X4),X0)),addition(multiplication(X4,addition(multiplication(X4,X1),multiplication(c(X4),X2))),multiplication(c(X4),X0)))
        | ~ leq(addition(multiplication(X4,addition(multiplication(X4,X1),multiplication(c(X4),X2))),multiplication(c(X4),X0)),addition(multiplication(X4,X1),multiplication(c(X4),X0))) ) ),
    inference(rectify,[],[f39]) ).

fof(f39,plain,
    ? [X2,X0,X3,X4,X1] :
      ( test(X1)
      & test(X4)
      & ( ~ leq(addition(multiplication(X1,X0),multiplication(c(X1),X2)),addition(multiplication(X1,addition(multiplication(X1,X0),multiplication(c(X1),X3))),multiplication(c(X1),X2)))
        | ~ leq(addition(multiplication(X1,addition(multiplication(X1,X0),multiplication(c(X1),X3))),multiplication(c(X1),X2)),addition(multiplication(X1,X0),multiplication(c(X1),X2))) ) ),
    inference(flattening,[],[f38]) ).

fof(f38,plain,
    ? [X1,X2,X4,X0,X3] :
      ( ( ~ leq(addition(multiplication(X1,X0),multiplication(c(X1),X2)),addition(multiplication(X1,addition(multiplication(X1,X0),multiplication(c(X1),X3))),multiplication(c(X1),X2)))
        | ~ leq(addition(multiplication(X1,addition(multiplication(X1,X0),multiplication(c(X1),X3))),multiplication(c(X1),X2)),addition(multiplication(X1,X0),multiplication(c(X1),X2))) )
      & test(X4)
      & test(X1) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,plain,
    ~ ! [X1,X2,X4,X0,X3] :
        ( ( test(X4)
          & test(X1) )
       => ( leq(addition(multiplication(X1,addition(multiplication(X1,X0),multiplication(c(X1),X3))),multiplication(c(X1),X2)),addition(multiplication(X1,X0),multiplication(c(X1),X2)))
          & leq(addition(multiplication(X1,X0),multiplication(c(X1),X2)),addition(multiplication(X1,addition(multiplication(X1,X0),multiplication(c(X1),X3))),multiplication(c(X1),X2))) ) ),
    inference(rectify,[],[f20]) ).

fof(f20,negated_conjecture,
    ~ ! [X3,X6,X5,X4,X7] :
        ( ( test(X7)
          & test(X6) )
       => ( leq(addition(multiplication(X6,X3),multiplication(c(X6),X5)),addition(multiplication(X6,addition(multiplication(X6,X3),multiplication(c(X6),X4))),multiplication(c(X6),X5)))
          & leq(addition(multiplication(X6,addition(multiplication(X6,X3),multiplication(c(X6),X4))),multiplication(c(X6),X5)),addition(multiplication(X6,X3),multiplication(c(X6),X5))) ) ),
    inference(negated_conjecture,[],[f19]) ).

fof(f19,conjecture,
    ! [X3,X6,X5,X4,X7] :
      ( ( test(X7)
        & test(X6) )
     => ( leq(addition(multiplication(X6,X3),multiplication(c(X6),X5)),addition(multiplication(X6,addition(multiplication(X6,X3),multiplication(c(X6),X4))),multiplication(c(X6),X5)))
        & leq(addition(multiplication(X6,addition(multiplication(X6,X3),multiplication(c(X6),X4))),multiplication(c(X6),X5)),addition(multiplication(X6,X3),multiplication(c(X6),X5))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f77,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ! [X1,X0] : addition(X0,X1) = addition(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).

fof(f219,plain,
    zero = multiplication(c(sK4),sK4),
    inference(resolution,[],[f121,f72]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ~ complement(X0,X1)
      | zero = multiplication(X1,X0) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f217,plain,
    zero = multiplication(sK4,c(sK4)),
    inference(unit_resulting_resolution,[],[f121,f71]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ~ complement(X0,X1)
      | zero = multiplication(X0,X1) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f216,plain,
    test(c(sK4)),
    inference(unit_resulting_resolution,[],[f121,f68]) ).

fof(f68,plain,
    ! [X2,X0] :
      ( ~ complement(X2,X0)
      | test(X0) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0] :
      ( ( complement(sK5(X0),X0)
        | ~ test(X0) )
      & ( test(X0)
        | ! [X2] : ~ complement(X2,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f50,f51]) ).

fof(f51,plain,
    ! [X0] :
      ( ? [X1] : complement(X1,X0)
     => complement(sK5(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f50,plain,
    ! [X0] :
      ( ( ? [X1] : complement(X1,X0)
        | ~ test(X0) )
      & ( test(X0)
        | ! [X2] : ~ complement(X2,X0) ) ),
    inference(rectify,[],[f49]) ).

fof(f49,plain,
    ! [X0] :
      ( ( ? [X1] : complement(X1,X0)
        | ~ test(X0) )
      & ( test(X0)
        | ! [X1] : ~ complement(X1,X0) ) ),
    inference(nnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0] :
      ( ? [X1] : complement(X1,X0)
    <=> test(X0) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X3] :
      ( ? [X4] : complement(X4,X3)
    <=> test(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_1) ).

fof(f258,plain,
    c(c(sK4)) = multiplication(c(c(sK4)),c(c(sK4))),
    inference(forward_demodulation,[],[f235,f79]) ).

fof(f79,plain,
    ! [X0] : addition(X0,X0) = X0,
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] : addition(X0,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).

fof(f235,plain,
    c(addition(c(sK4),c(sK4))) = multiplication(c(c(sK4)),c(c(sK4))),
    inference(unit_resulting_resolution,[],[f216,f216,f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ~ test(X1)
      | ~ test(X0)
      | multiplication(c(X0),c(X1)) = c(addition(X0,X1)) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( multiplication(c(X0),c(X1)) = c(addition(X0,X1))
      | ~ test(X1)
      | ~ test(X0) ),
    inference(rectify,[],[f42]) ).

fof(f42,plain,
    ! [X1,X0] :
      ( multiplication(c(X1),c(X0)) = c(addition(X1,X0))
      | ~ test(X0)
      | ~ test(X1) ),
    inference(flattening,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( multiplication(c(X1),c(X0)) = c(addition(X1,X0))
      | ~ test(X1)
      | ~ test(X0) ),
    inference(ennf_transformation,[],[f26]) ).

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

fof(f17,axiom,
    ! [X4,X3] :
      ( ( test(X3)
        & test(X4) )
     => c(addition(X3,X4)) = multiplication(c(X3),c(X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_deMorgan1) ).

fof(f76,plain,
    ! [X2,X0,X1] : multiplication(X1,multiplication(X0,X2)) = multiplication(multiplication(X1,X0),X2),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0,X1,X2] : multiplication(X1,multiplication(X0,X2)) = multiplication(multiplication(X1,X0),X2),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X1,X0,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).

fof(f1343,plain,
    ( ~ leq(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)),addition(multiplication(sK4,multiplication(sK4,sK1)),multiplication(c(sK4),sK0)))
    | spl6_2 ),
    inference(forward_demodulation,[],[f1342,f1325]) ).

fof(f1325,plain,
    ! [X1] : addition(zero,X1) = X1,
    inference(superposition,[],[f77,f75]) ).

fof(f75,plain,
    ! [X0] : addition(X0,zero) = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : addition(X0,zero) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).

fof(f1342,plain,
    ( ~ leq(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)),addition(multiplication(sK4,multiplication(sK4,sK1)),addition(zero,multiplication(c(sK4),sK0))))
    | spl6_2 ),
    inference(forward_demodulation,[],[f1341,f64]) ).

fof(f64,plain,
    ! [X2,X0,X1] : addition(X2,addition(X0,X1)) = addition(addition(X2,X0),X1),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1,X2] : addition(X2,addition(X0,X1)) = addition(addition(X2,X0),X1),
    inference(rectify,[],[f25]) ).

fof(f25,plain,
    ! [X0,X2,X1] : addition(X1,addition(X0,X2)) = addition(addition(X1,X0),X2),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X1,X0,X2] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).

fof(f1341,plain,
    ( ~ leq(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)),addition(addition(multiplication(sK4,multiplication(sK4,sK1)),zero),multiplication(c(sK4),sK0)))
    | spl6_2 ),
    inference(forward_demodulation,[],[f1340,f77]) ).

fof(f1340,plain,
    ( ~ leq(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)),addition(multiplication(c(sK4),sK0),addition(multiplication(sK4,multiplication(sK4,sK1)),zero)))
    | spl6_2 ),
    inference(forward_demodulation,[],[f138,f439]) ).

fof(f439,plain,
    ! [X0] : zero = multiplication(sK4,multiplication(c(sK4),X0)),
    inference(forward_demodulation,[],[f438,f57]) ).

fof(f57,plain,
    ! [X0] : zero = multiplication(zero,X0),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] : zero = multiplication(zero,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).

fof(f438,plain,
    ! [X0] : multiplication(zero,X0) = multiplication(sK4,multiplication(c(sK4),X0)),
    inference(superposition,[],[f76,f217]) ).

fof(f138,plain,
    ( ~ leq(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)),addition(multiplication(c(sK4),sK0),addition(multiplication(sK4,multiplication(sK4,sK1)),multiplication(sK4,multiplication(c(sK4),sK2)))))
    | spl6_2 ),
    inference(avatar_component_clause,[],[f136]) ).

fof(f136,plain,
    ( spl6_2
  <=> leq(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)),addition(multiplication(c(sK4),sK0),addition(multiplication(sK4,multiplication(sK4,sK1)),multiplication(sK4,multiplication(c(sK4),sK2))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).

fof(f1349,plain,
    ( leq(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)),addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)))
    | ~ spl6_1 ),
    inference(forward_demodulation,[],[f1348,f948]) ).

fof(f1348,plain,
    ( leq(addition(multiplication(sK4,multiplication(sK4,sK1)),multiplication(c(sK4),sK0)),addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)))
    | ~ spl6_1 ),
    inference(forward_demodulation,[],[f1347,f1325]) ).

fof(f1347,plain,
    ( leq(addition(multiplication(sK4,multiplication(sK4,sK1)),addition(zero,multiplication(c(sK4),sK0))),addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)))
    | ~ spl6_1 ),
    inference(forward_demodulation,[],[f1346,f64]) ).

fof(f1346,plain,
    ( leq(addition(addition(multiplication(sK4,multiplication(sK4,sK1)),zero),multiplication(c(sK4),sK0)),addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)))
    | ~ spl6_1 ),
    inference(forward_demodulation,[],[f1345,f77]) ).

fof(f1345,plain,
    ( leq(addition(multiplication(c(sK4),sK0),addition(multiplication(sK4,multiplication(sK4,sK1)),zero)),addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)))
    | ~ spl6_1 ),
    inference(forward_demodulation,[],[f133,f439]) ).

fof(f133,plain,
    ( leq(addition(multiplication(c(sK4),sK0),addition(multiplication(sK4,multiplication(sK4,sK1)),multiplication(sK4,multiplication(c(sK4),sK2)))),addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)))
    | ~ spl6_1 ),
    inference(avatar_component_clause,[],[f132]) ).

fof(f132,plain,
    ( spl6_1
  <=> leq(addition(multiplication(c(sK4),sK0),addition(multiplication(sK4,multiplication(sK4,sK1)),multiplication(sK4,multiplication(c(sK4),sK2)))),addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

fof(f1339,plain,
    spl6_1,
    inference(avatar_contradiction_clause,[],[f1338]) ).

fof(f1338,plain,
    ( $false
    | spl6_1 ),
    inference(subsumption_resolution,[],[f1334,f79]) ).

fof(f1334,plain,
    ( addition(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)),addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0))) != addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0))
    | spl6_1 ),
    inference(backward_demodulation,[],[f953,f1325]) ).

fof(f953,plain,
    ( addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)) != addition(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)),addition(multiplication(sK4,sK1),addition(zero,multiplication(c(sK4),sK0))))
    | spl6_1 ),
    inference(backward_demodulation,[],[f447,f948]) ).

fof(f447,plain,
    ( addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)) != addition(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)),addition(multiplication(sK4,multiplication(sK4,sK1)),addition(zero,multiplication(c(sK4),sK0))))
    | spl6_1 ),
    inference(forward_demodulation,[],[f446,f64]) ).

fof(f446,plain,
    ( addition(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)),addition(addition(multiplication(sK4,multiplication(sK4,sK1)),zero),multiplication(c(sK4),sK0))) != addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0))
    | spl6_1 ),
    inference(forward_demodulation,[],[f440,f77]) ).

fof(f440,plain,
    ( addition(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)),addition(multiplication(c(sK4),sK0),addition(multiplication(sK4,multiplication(sK4,sK1)),zero))) != addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0))
    | spl6_1 ),
    inference(backward_demodulation,[],[f374,f439]) ).

fof(f374,plain,
    ( addition(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)),addition(multiplication(c(sK4),sK0),addition(multiplication(sK4,multiplication(sK4,sK1)),multiplication(sK4,multiplication(c(sK4),sK2))))) != addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0))
    | spl6_1 ),
    inference(superposition,[],[f140,f77]) ).

fof(f140,plain,
    ( addition(addition(multiplication(c(sK4),sK0),addition(multiplication(sK4,multiplication(sK4,sK1)),multiplication(sK4,multiplication(c(sK4),sK2)))),addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0))) != addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0))
    | spl6_1 ),
    inference(unit_resulting_resolution,[],[f134,f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | addition(X0,X1) != X1 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | addition(X0,X1) != X1 ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( addition(X0,X1) = X1
     => leq(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( leq(X0,X1)
    <=> addition(X0,X1) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).

fof(f134,plain,
    ( ~ leq(addition(multiplication(c(sK4),sK0),addition(multiplication(sK4,multiplication(sK4,sK1)),multiplication(sK4,multiplication(c(sK4),sK2)))),addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)))
    | spl6_1 ),
    inference(avatar_component_clause,[],[f132]) ).

fof(f139,plain,
    ( ~ spl6_1
    | ~ spl6_2 ),
    inference(avatar_split_clause,[],[f86,f136,f132]) ).

fof(f86,plain,
    ( ~ leq(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)),addition(multiplication(c(sK4),sK0),addition(multiplication(sK4,multiplication(sK4,sK1)),multiplication(sK4,multiplication(c(sK4),sK2)))))
    | ~ leq(addition(multiplication(c(sK4),sK0),addition(multiplication(sK4,multiplication(sK4,sK1)),multiplication(sK4,multiplication(c(sK4),sK2)))),addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0))) ),
    inference(forward_demodulation,[],[f85,f63]) ).

fof(f63,plain,
    ! [X2,X0,X1] : multiplication(X0,addition(X2,X1)) = addition(multiplication(X0,X2),multiplication(X0,X1)),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1,X2] : multiplication(X0,addition(X2,X1)) = addition(multiplication(X0,X2),multiplication(X0,X1)),
    inference(rectify,[],[f27]) ).

fof(f27,plain,
    ! [X2,X1,X0] : multiplication(X2,addition(X0,X1)) = addition(multiplication(X2,X0),multiplication(X2,X1)),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X1,X2,X0] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).

fof(f85,plain,
    ( ~ leq(addition(multiplication(c(sK4),sK0),addition(multiplication(sK4,multiplication(sK4,sK1)),multiplication(sK4,multiplication(c(sK4),sK2)))),addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)))
    | ~ leq(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)),addition(multiplication(c(sK4),sK0),multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2))))) ),
    inference(forward_demodulation,[],[f84,f63]) ).

fof(f84,plain,
    ( ~ leq(addition(multiplication(c(sK4),sK0),multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2)))),addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)))
    | ~ leq(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)),addition(multiplication(c(sK4),sK0),multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2))))) ),
    inference(forward_demodulation,[],[f83,f77]) ).

fof(f83,plain,
    ( ~ leq(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)),addition(multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2))),multiplication(c(sK4),sK0)))
    | ~ leq(addition(multiplication(c(sK4),sK0),multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2)))),addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0))) ),
    inference(forward_demodulation,[],[f60,f77]) ).

fof(f60,plain,
    ( ~ leq(addition(multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2))),multiplication(c(sK4),sK0)),addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)))
    | ~ leq(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK0)),addition(multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2))),multiplication(c(sK4),sK0))) ),
    inference(cnf_transformation,[],[f45]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : KLE027+4 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.14  % 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 : n021.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 00:19:25 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  % (22424)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)
% 0.21/0.50  % (22449)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)
% 0.21/0.50  % (22432)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)
% 0.21/0.51  % (22433)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)
% 0.21/0.51  % (22432)Instruction limit reached!
% 0.21/0.51  % (22432)------------------------------
% 0.21/0.51  % (22432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (22432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (22432)Termination reason: Unknown
% 0.21/0.51  % (22432)Termination phase: Saturation
% 0.21/0.51  
% 0.21/0.51  % (22432)Memory used [KB]: 6012
% 0.21/0.51  % (22432)Time elapsed: 0.100 s
% 0.21/0.51  % (22432)Instructions burned: 7 (million)
% 0.21/0.51  % (22432)------------------------------
% 0.21/0.51  % (22432)------------------------------
% 0.21/0.51  % (22433)Refutation not found, incomplete strategy% (22433)------------------------------
% 0.21/0.51  % (22433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (22433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (22433)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51  
% 0.21/0.51  % (22433)Memory used [KB]: 1407
% 0.21/0.51  % (22433)Time elapsed: 0.104 s
% 0.21/0.51  % (22433)Instructions burned: 3 (million)
% 0.21/0.51  % (22433)------------------------------
% 0.21/0.51  % (22433)------------------------------
% 0.21/0.51  % (22434)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)
% 0.21/0.51  % (22422)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)
% 0.21/0.52  % (22450)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)
% 0.21/0.52  % (22425)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)
% 0.21/0.52  % (22427)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)
% 0.21/0.52  % (22446)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)
% 0.21/0.53  % (22425)Instruction limit reached!
% 0.21/0.53  % (22425)------------------------------
% 0.21/0.53  % (22425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (22444)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)
% 0.21/0.53  % (22436)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)
% 0.21/0.53  % (22429)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)
% 0.21/0.53  % (22438)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)
% 0.21/0.53  % (22421)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.53  % (22448)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)
% 0.21/0.53  % (22450)Instruction limit reached!
% 0.21/0.53  % (22450)------------------------------
% 0.21/0.53  % (22450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (22423)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)
% 0.21/0.53  % (22425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (22425)Termination reason: Unknown
% 0.21/0.53  % (22425)Termination phase: Saturation
% 0.21/0.53  
% 0.21/0.53  % (22425)Memory used [KB]: 6140
% 0.21/0.53  % (22425)Time elapsed: 0.119 s
% 0.21/0.53  % (22425)Instructions burned: 13 (million)
% 0.21/0.53  % (22425)------------------------------
% 0.21/0.53  % (22425)------------------------------
% 0.21/0.53  % (22443)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)
% 0.21/0.53  % (22423)Instruction limit reached!
% 0.21/0.53  % (22423)------------------------------
% 0.21/0.53  % (22423)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (22423)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (22423)Termination reason: Unknown
% 0.21/0.53  % (22423)Termination phase: Saturation
% 0.21/0.53  
% 0.21/0.53  % (22423)Memory used [KB]: 5884
% 0.21/0.53  % (22423)Time elapsed: 0.003 s
% 0.21/0.53  % (22423)Instructions burned: 3 (million)
% 0.21/0.53  % (22423)------------------------------
% 0.21/0.53  % (22423)------------------------------
% 0.21/0.53  % (22450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (22442)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)
% 0.21/0.53  % (22450)Termination reason: Unknown
% 0.21/0.53  % (22450)Termination phase: Saturation
% 0.21/0.53  
% 0.21/0.53  % (22450)Memory used [KB]: 6140
% 0.21/0.53  % (22450)Time elapsed: 0.131 s
% 0.21/0.53  % (22450)Instructions burned: 9 (million)
% 0.21/0.53  % (22450)------------------------------
% 0.21/0.53  % (22450)------------------------------
% 0.21/0.53  % (22426)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)
% 0.21/0.54  % (22449)Instruction limit reached!
% 0.21/0.54  % (22449)------------------------------
% 0.21/0.54  % (22449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (22442)Refutation not found, incomplete strategy% (22442)------------------------------
% 0.21/0.54  % (22442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (22442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (22442)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54  
% 0.21/0.54  % (22442)Memory used [KB]: 6012
% 0.21/0.54  % (22442)Time elapsed: 0.145 s
% 0.21/0.54  % (22442)Instructions burned: 6 (million)
% 0.21/0.54  % (22442)------------------------------
% 0.21/0.54  % (22442)------------------------------
% 0.21/0.54  % (22445)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)
% 0.21/0.54  % (22451)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)
% 0.21/0.54  % (22431)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)
% 0.21/0.54  % (22428)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)
% 0.21/0.54  % (22430)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)
% 0.21/0.54  % (22422)Instruction limit reached!
% 0.21/0.54  % (22422)------------------------------
% 0.21/0.54  % (22422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (22422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (22422)Termination reason: Unknown
% 0.21/0.54  % (22422)Termination phase: Saturation
% 0.21/0.54  
% 0.21/0.54  % (22422)Memory used [KB]: 6140
% 0.21/0.54  % (22422)Time elapsed: 0.112 s
% 0.21/0.54  % (22422)Instructions burned: 14 (million)
% 0.21/0.54  % (22422)------------------------------
% 0.21/0.54  % (22422)------------------------------
% 0.21/0.55  % (22446)Refutation not found, incomplete strategy% (22446)------------------------------
% 0.21/0.55  % (22446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (22446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (22446)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.55  
% 0.21/0.55  % (22446)Memory used [KB]: 6012
% 0.21/0.55  % (22447)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)
% 0.21/0.55  % (22446)Time elapsed: 0.127 s
% 0.21/0.55  % (22446)Instructions burned: 4 (million)
% 0.21/0.55  % (22446)------------------------------
% 0.21/0.55  % (22446)------------------------------
% 0.21/0.55  % (22449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (22449)Termination reason: Unknown
% 0.21/0.55  % (22449)Termination phase: Saturation
% 0.21/0.55  
% 0.21/0.55  % (22449)Memory used [KB]: 6268
% 0.21/0.55  % (22449)Time elapsed: 0.130 s
% 0.21/0.55  % (22436)Instruction limit reached!
% 0.21/0.55  % (22436)------------------------------
% 0.21/0.55  % (22436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (22436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (22436)Termination reason: Unknown
% 0.21/0.55  % (22436)Termination phase: Saturation
% 0.21/0.55  
% 0.21/0.55  % (22436)Memory used [KB]: 6012
% 0.21/0.55  % (22436)Time elapsed: 0.093 s
% 0.21/0.55  % (22436)Instructions burned: 7 (million)
% 0.21/0.55  % (22436)------------------------------
% 0.21/0.55  % (22436)------------------------------
% 0.21/0.55  % (22439)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.55  % (22441)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)
% 0.21/0.55  % (22440)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)
% 0.21/0.55  % (22440)Instruction limit reached!
% 0.21/0.55  % (22440)------------------------------
% 0.21/0.55  % (22440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (22440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (22440)Termination reason: Unknown
% 0.21/0.55  % (22440)Termination phase: Saturation
% 0.21/0.55  
% 0.21/0.55  % (22440)Memory used [KB]: 1407
% 0.21/0.55  % (22440)Time elapsed: 0.003 s
% 0.21/0.55  % (22440)Instructions burned: 2 (million)
% 0.21/0.55  % (22440)------------------------------
% 0.21/0.55  % (22440)------------------------------
% 0.21/0.55  % (22426)Instruction limit reached!
% 0.21/0.55  % (22426)------------------------------
% 0.21/0.55  % (22426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (22426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (22426)Termination reason: Unknown
% 0.21/0.55  % (22426)Termination phase: Saturation
% 0.21/0.55  
% 0.21/0.55  % (22426)Memory used [KB]: 1663
% 0.21/0.55  % (22426)Time elapsed: 0.141 s
% 0.21/0.55  % (22426)Instructions burned: 15 (million)
% 0.21/0.55  % (22426)------------------------------
% 0.21/0.55  % (22426)------------------------------
% 0.21/0.55  % (22449)Instructions burned: 25 (million)
% 0.21/0.55  % (22449)------------------------------
% 0.21/0.55  % (22449)------------------------------
% 0.21/0.56  % (22435)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)
% 0.21/0.56  % (22431)Refutation not found, incomplete strategy% (22431)------------------------------
% 0.21/0.56  % (22431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (22431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (22431)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.56  
% 0.21/0.56  % (22431)Memory used [KB]: 5884
% 0.21/0.56  % (22431)Time elapsed: 0.155 s
% 0.21/0.56  % (22431)Instructions burned: 2 (million)
% 0.21/0.56  % (22431)------------------------------
% 0.21/0.56  % (22431)------------------------------
% 0.21/0.56  % (22435)Instruction limit reached!
% 0.21/0.56  % (22435)------------------------------
% 0.21/0.56  % (22435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (22435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (22435)Termination reason: Unknown
% 0.21/0.56  % (22435)Termination phase: Saturation
% 0.21/0.56  
% 0.21/0.56  % (22435)Memory used [KB]: 5884
% 0.21/0.56  % (22435)Time elapsed: 0.004 s
% 0.21/0.56  % (22435)Instructions burned: 3 (million)
% 0.21/0.56  % (22441)Refutation not found, incomplete strategy% (22441)------------------------------
% 0.21/0.56  % (22441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (22441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (22441)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.56  
% 0.21/0.56  % (22441)Memory used [KB]: 5884
% 0.21/0.56  % (22441)Time elapsed: 0.156 s
% 0.21/0.56  % (22441)Instructions burned: 3 (million)
% 0.21/0.56  % (22441)------------------------------
% 0.21/0.56  % (22441)------------------------------
% 0.21/0.56  % (22435)------------------------------
% 0.21/0.56  % (22435)------------------------------
% 0.21/0.56  % (22439)Instruction limit reached!
% 0.21/0.56  % (22439)------------------------------
% 0.21/0.56  % (22439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (22439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (22439)Termination reason: Unknown
% 0.21/0.56  % (22439)Termination phase: Finite model building preprocessing
% 0.21/0.56  
% 0.21/0.56  % (22439)Memory used [KB]: 1407
% 0.21/0.56  % (22439)Time elapsed: 0.003 s
% 0.21/0.56  % (22439)Instructions burned: 3 (million)
% 0.21/0.56  % (22439)------------------------------
% 0.21/0.56  % (22439)------------------------------
% 1.75/0.58  % (22424)Instruction limit reached!
% 1.75/0.58  % (22424)------------------------------
% 1.75/0.58  % (22424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.58  % (22424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.58  % (22424)Termination reason: Unknown
% 1.75/0.58  % (22424)Termination phase: Saturation
% 1.75/0.58  
% 1.75/0.58  % (22424)Memory used [KB]: 6652
% 1.75/0.58  % (22424)Time elapsed: 0.177 s
% 1.75/0.58  % (22424)Instructions burned: 51 (million)
% 1.75/0.58  % (22424)------------------------------
% 1.75/0.58  % (22424)------------------------------
% 1.75/0.59  % (22445)Instruction limit reached!
% 1.75/0.59  % (22445)------------------------------
% 1.75/0.59  % (22445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.59  % (22445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.59  % (22445)Termination reason: Unknown
% 1.75/0.59  % (22445)Termination phase: Saturation
% 1.75/0.59  
% 1.75/0.59  % (22445)Memory used [KB]: 2046
% 1.75/0.59  % (22445)Time elapsed: 0.154 s
% 1.75/0.59  % (22445)Instructions burned: 46 (million)
% 1.75/0.59  % (22445)------------------------------
% 1.75/0.59  % (22445)------------------------------
% 1.75/0.59  % (22434)Instruction limit reached!
% 1.75/0.59  % (22434)------------------------------
% 1.75/0.59  % (22434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.59  % (22434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.59  % (22434)Termination reason: Unknown
% 1.75/0.59  % (22434)Termination phase: Saturation
% 1.75/0.59  
% 1.75/0.59  % (22434)Memory used [KB]: 6780
% 1.75/0.59  % (22434)Time elapsed: 0.174 s
% 1.75/0.59  % (22434)Instructions burned: 52 (million)
% 1.75/0.59  % (22434)------------------------------
% 1.75/0.59  % (22434)------------------------------
% 1.75/0.59  % (22427)Instruction limit reached!
% 1.75/0.59  % (22427)------------------------------
% 1.75/0.59  % (22427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.59  % (22427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.59  % (22427)Termination reason: Unknown
% 1.75/0.59  % (22427)Termination phase: Saturation
% 1.75/0.59  
% 1.75/0.59  % (22427)Memory used [KB]: 6652
% 1.75/0.59  % (22427)Time elapsed: 0.162 s
% 1.75/0.59  % (22427)Instructions burned: 41 (million)
% 1.75/0.59  % (22427)------------------------------
% 1.75/0.59  % (22427)------------------------------
% 1.87/0.60  % (22428)Instruction limit reached!
% 1.87/0.60  % (22428)------------------------------
% 1.87/0.60  % (22428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.60  % (22428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.60  % (22428)Termination reason: Unknown
% 1.87/0.60  % (22428)Termination phase: Saturation
% 1.87/0.60  
% 1.87/0.60  % (22428)Memory used [KB]: 6396
% 1.87/0.60  % (22428)Time elapsed: 0.153 s
% 1.87/0.60  % (22428)Instructions burned: 39 (million)
% 1.87/0.60  % (22428)------------------------------
% 1.87/0.60  % (22428)------------------------------
% 1.87/0.60  % (22451)Instruction limit reached!
% 1.87/0.60  % (22451)------------------------------
% 1.87/0.60  % (22451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.60  % (22451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.60  % (22451)Termination reason: Unknown
% 1.87/0.60  % (22451)Termination phase: Saturation
% 1.87/0.60  
% 1.87/0.60  % (22451)Memory used [KB]: 6396
% 1.87/0.60  % (22451)Time elapsed: 0.173 s
% 1.87/0.60  % (22451)Instructions burned: 25 (million)
% 1.87/0.60  % (22451)------------------------------
% 1.87/0.60  % (22451)------------------------------
% 1.87/0.61  % (22527)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 (2998ds/92Mi)
% 1.87/0.62  % (22430)Instruction limit reached!
% 1.87/0.62  % (22430)------------------------------
% 1.87/0.62  % (22430)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.62  % (22430)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.62  % (22430)Termination reason: Unknown
% 1.87/0.62  % (22430)Termination phase: Saturation
% 1.87/0.62  
% 1.87/0.62  % (22430)Memory used [KB]: 6396
% 1.87/0.62  % (22430)Time elapsed: 0.219 s
% 1.87/0.62  % (22430)Instructions burned: 34 (million)
% 1.87/0.62  % (22430)------------------------------
% 1.87/0.62  % (22430)------------------------------
% 2.15/0.63  % (22429)Instruction limit reached!
% 2.15/0.63  % (22429)------------------------------
% 2.15/0.63  % (22429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.63  % (22443)First to succeed.
% 2.19/0.63  % (22527)Refutation not found, incomplete strategy% (22527)------------------------------
% 2.19/0.63  % (22527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.63  % (22527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.63  % (22527)Termination reason: Refutation not found, incomplete strategy
% 2.19/0.63  
% 2.19/0.63  % (22527)Memory used [KB]: 5884
% 2.19/0.63  % (22527)Time elapsed: 0.081 s
% 2.19/0.63  % (22527)Instructions burned: 1 (million)
% 2.19/0.63  % (22527)------------------------------
% 2.19/0.63  % (22527)------------------------------
% 2.19/0.63  % (22429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.63  % (22429)Termination reason: Unknown
% 2.19/0.63  % (22429)Termination phase: Saturation
% 2.19/0.63  
% 2.19/0.63  % (22429)Memory used [KB]: 6524
% 2.19/0.63  % (22429)Time elapsed: 0.227 s
% 2.19/0.63  % (22429)Instructions burned: 49 (million)
% 2.19/0.63  % (22429)------------------------------
% 2.19/0.63  % (22429)------------------------------
% 2.19/0.64  % (22444)Instruction limit reached!
% 2.19/0.64  % (22444)------------------------------
% 2.19/0.64  % (22444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.64  % (22443)Refutation found. Thanks to Tanya!
% 2.19/0.64  % SZS status Theorem for theBenchmark
% 2.19/0.64  % SZS output start Proof for theBenchmark
% See solution above
% 2.19/0.65  % (22443)------------------------------
% 2.19/0.65  % (22443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.65  % (22443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.65  % (22443)Termination reason: Refutation
% 2.19/0.65  
% 2.19/0.65  % (22443)Memory used [KB]: 6524
% 2.19/0.65  % (22443)Time elapsed: 0.229 s
% 2.19/0.65  % (22443)Instructions burned: 65 (million)
% 2.19/0.65  % (22443)------------------------------
% 2.19/0.65  % (22443)------------------------------
% 2.19/0.65  % (22417)Success in time 0.28 s
%------------------------------------------------------------------------------