TSTP Solution File: KLE009+4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KLE009+4 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n027.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 : Sun May  5 07:15:32 EDT 2024

% Result   : Theorem 0.60s 0.81s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   77 (  22 unt;   0 def)
%            Number of atoms       :  173 (  58 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  157 (  61   ~;  54   |;  27   &)
%                                         (   8 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   79 (  73   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f429,plain,
    $false,
    inference(avatar_sat_refutation,[],[f81,f415,f428]) ).

fof(f428,plain,
    spl3_2,
    inference(avatar_contradiction_clause,[],[f427]) ).

fof(f427,plain,
    ( $false
    | spl3_2 ),
    inference(subsumption_resolution,[],[f426,f60]) ).

fof(f60,plain,
    ! [X0] : addition(X0,X0) = X0,
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] : addition(X0,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.aE2CQrKIPr/Vampire---4.8_21635',additive_idempotence) ).

fof(f426,plain,
    ( one != addition(one,one)
    | spl3_2 ),
    inference(resolution,[],[f425,f57]) ).

fof(f57,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,[],[f29]) ).

fof(f29,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/tmp/tmp.aE2CQrKIPr/Vampire---4.8_21635',order) ).

fof(f425,plain,
    ( ~ leq(one,one)
    | spl3_2 ),
    inference(forward_demodulation,[],[f424,f405]) ).

fof(f405,plain,
    one = addition(sK0,c(sK0)),
    inference(resolution,[],[f99,f49]) ).

fof(f49,plain,
    test(sK0),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ( ( ~ leq(addition(addition(addition(multiplication(sK0,sK1),multiplication(sK0,c(sK1))),multiplication(c(sK0),sK1)),multiplication(c(sK0),c(sK1))),one)
      | ~ leq(one,addition(addition(addition(multiplication(sK0,sK1),multiplication(sK0,c(sK1))),multiplication(c(sK0),sK1)),multiplication(c(sK0),c(sK1)))) )
    & test(sK0)
    & test(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f31,f39]) ).

fof(f39,plain,
    ( ? [X0,X1] :
        ( ( ~ leq(addition(addition(addition(multiplication(X0,X1),multiplication(X0,c(X1))),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))),one)
          | ~ leq(one,addition(addition(addition(multiplication(X0,X1),multiplication(X0,c(X1))),multiplication(c(X0),X1)),multiplication(c(X0),c(X1)))) )
        & test(X0)
        & test(X1) )
   => ( ( ~ leq(addition(addition(addition(multiplication(sK0,sK1),multiplication(sK0,c(sK1))),multiplication(c(sK0),sK1)),multiplication(c(sK0),c(sK1))),one)
        | ~ leq(one,addition(addition(addition(multiplication(sK0,sK1),multiplication(sK0,c(sK1))),multiplication(c(sK0),sK1)),multiplication(c(sK0),c(sK1)))) )
      & test(sK0)
      & test(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f31,plain,
    ? [X0,X1] :
      ( ( ~ leq(addition(addition(addition(multiplication(X0,X1),multiplication(X0,c(X1))),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))),one)
        | ~ leq(one,addition(addition(addition(multiplication(X0,X1),multiplication(X0,c(X1))),multiplication(c(X0),X1)),multiplication(c(X0),c(X1)))) )
      & test(X0)
      & test(X1) ),
    inference(flattening,[],[f30]) ).

fof(f30,plain,
    ? [X0,X1] :
      ( ( ~ leq(addition(addition(addition(multiplication(X0,X1),multiplication(X0,c(X1))),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))),one)
        | ~ leq(one,addition(addition(addition(multiplication(X0,X1),multiplication(X0,c(X1))),multiplication(c(X0),X1)),multiplication(c(X0),c(X1)))) )
      & test(X0)
      & test(X1) ),
    inference(ennf_transformation,[],[f21]) ).

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

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

fof(f19,conjecture,
    ! [X3,X4] :
      ( ( test(X3)
        & test(X4) )
     => ( leq(addition(addition(addition(multiplication(X3,X4),multiplication(X3,c(X4))),multiplication(c(X3),X4)),multiplication(c(X3),c(X4))),one)
        & leq(one,addition(addition(addition(multiplication(X3,X4),multiplication(X3,c(X4))),multiplication(c(X3),X4)),multiplication(c(X3),c(X4)))) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.aE2CQrKIPr/Vampire---4.8_21635',goals) ).

fof(f99,plain,
    ! [X0] :
      ( ~ test(X0)
      | one = addition(X0,c(X0)) ),
    inference(forward_demodulation,[],[f98,f63]) ).

fof(f63,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/sandbox2/tmp/tmp.aE2CQrKIPr/Vampire---4.8_21635',additive_commutativity) ).

fof(f98,plain,
    ! [X0] :
      ( one = addition(c(X0),X0)
      | ~ test(X0) ),
    inference(resolution,[],[f55,f74]) ).

fof(f74,plain,
    ! [X0] :
      ( complement(X0,c(X0))
      | ~ test(X0) ),
    inference(equality_resolution,[],[f65]) ).

fof(f65,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,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ( c(X0) = X1
      <=> complement(X0,X1) )
      | ~ test(X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,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/sandbox2/tmp/tmp.aE2CQrKIPr/Vampire---4.8_21635',test_3) ).

fof(f55,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,[],[f24]) ).

fof(f24,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/sandbox2/tmp/tmp.aE2CQrKIPr/Vampire---4.8_21635',test_2) ).

fof(f424,plain,
    ( ~ leq(addition(sK0,c(sK0)),one)
    | spl3_2 ),
    inference(forward_demodulation,[],[f423,f72]) ).

fof(f72,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.aE2CQrKIPr/Vampire---4.8_21635',multiplicative_right_identity) ).

fof(f423,plain,
    ( ~ leq(multiplication(addition(sK0,c(sK0)),one),one)
    | spl3_2 ),
    inference(forward_demodulation,[],[f422,f404]) ).

fof(f404,plain,
    one = addition(sK1,c(sK1)),
    inference(resolution,[],[f99,f48]) ).

fof(f48,plain,
    test(sK1),
    inference(cnf_transformation,[],[f40]) ).

fof(f422,plain,
    ( ~ leq(multiplication(addition(sK0,c(sK0)),addition(sK1,c(sK1))),one)
    | spl3_2 ),
    inference(forward_demodulation,[],[f421,f58]) ).

fof(f58,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/sandbox2/tmp/tmp.aE2CQrKIPr/Vampire---4.8_21635',left_distributivity) ).

fof(f421,plain,
    ( ~ leq(addition(multiplication(sK0,addition(sK1,c(sK1))),multiplication(c(sK0),addition(sK1,c(sK1)))),one)
    | spl3_2 ),
    inference(forward_demodulation,[],[f420,f212]) ).

fof(f212,plain,
    ! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
    inference(superposition,[],[f62,f59]) ).

fof(f59,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/sandbox2/tmp/tmp.aE2CQrKIPr/Vampire---4.8_21635',right_distributivity) ).

fof(f62,plain,
    ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,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/sandbox2/tmp/tmp.aE2CQrKIPr/Vampire---4.8_21635',additive_associativity) ).

fof(f420,plain,
    ( ~ leq(addition(multiplication(sK0,sK1),addition(multiplication(sK0,c(sK1)),multiplication(c(sK0),addition(sK1,c(sK1))))),one)
    | spl3_2 ),
    inference(forward_demodulation,[],[f419,f116]) ).

fof(f116,plain,
    ! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
    inference(superposition,[],[f62,f63]) ).

fof(f419,plain,
    ( ~ leq(addition(multiplication(sK0,c(sK1)),addition(multiplication(c(sK0),addition(sK1,c(sK1))),multiplication(sK0,sK1))),one)
    | spl3_2 ),
    inference(forward_demodulation,[],[f418,f116]) ).

fof(f418,plain,
    ( ~ leq(addition(multiplication(c(sK0),addition(sK1,c(sK1))),addition(multiplication(sK0,sK1),multiplication(sK0,c(sK1)))),one)
    | spl3_2 ),
    inference(forward_demodulation,[],[f417,f212]) ).

fof(f417,plain,
    ( ~ leq(addition(multiplication(c(sK0),sK1),addition(multiplication(c(sK0),c(sK1)),addition(multiplication(sK0,sK1),multiplication(sK0,c(sK1))))),one)
    | spl3_2 ),
    inference(forward_demodulation,[],[f416,f116]) ).

fof(f416,plain,
    ( ~ leq(addition(multiplication(c(sK0),c(sK1)),addition(addition(multiplication(sK0,sK1),multiplication(sK0,c(sK1))),multiplication(c(sK0),sK1))),one)
    | spl3_2 ),
    inference(forward_demodulation,[],[f80,f63]) ).

fof(f80,plain,
    ( ~ leq(addition(addition(addition(multiplication(sK0,sK1),multiplication(sK0,c(sK1))),multiplication(c(sK0),sK1)),multiplication(c(sK0),c(sK1))),one)
    | spl3_2 ),
    inference(avatar_component_clause,[],[f79]) ).

fof(f79,plain,
    ( spl3_2
  <=> leq(addition(addition(addition(multiplication(sK0,sK1),multiplication(sK0,c(sK1))),multiplication(c(sK0),sK1)),multiplication(c(sK0),c(sK1))),one) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f415,plain,
    spl3_1,
    inference(avatar_contradiction_clause,[],[f414]) ).

fof(f414,plain,
    ( $false
    | spl3_1 ),
    inference(subsumption_resolution,[],[f413,f60]) ).

fof(f413,plain,
    ( one != addition(one,one)
    | spl3_1 ),
    inference(backward_demodulation,[],[f410,f405]) ).

fof(f410,plain,
    ( addition(sK0,c(sK0)) != addition(one,addition(sK0,c(sK0)))
    | spl3_1 ),
    inference(forward_demodulation,[],[f408,f72]) ).

fof(f408,plain,
    ( multiplication(addition(sK0,c(sK0)),one) != addition(one,multiplication(addition(sK0,c(sK0)),one))
    | spl3_1 ),
    inference(backward_demodulation,[],[f240,f404]) ).

fof(f240,plain,
    ( multiplication(addition(sK0,c(sK0)),addition(sK1,c(sK1))) != addition(one,multiplication(addition(sK0,c(sK0)),addition(sK1,c(sK1))))
    | spl3_1 ),
    inference(forward_demodulation,[],[f239,f63]) ).

fof(f239,plain,
    ( multiplication(addition(c(sK0),sK0),addition(sK1,c(sK1))) != addition(one,multiplication(addition(c(sK0),sK0),addition(sK1,c(sK1))))
    | spl3_1 ),
    inference(forward_demodulation,[],[f236,f58]) ).

fof(f236,plain,
    ( addition(multiplication(c(sK0),addition(sK1,c(sK1))),multiplication(sK0,addition(sK1,c(sK1)))) != addition(one,addition(multiplication(c(sK0),addition(sK1,c(sK1))),multiplication(sK0,addition(sK1,c(sK1)))))
    | spl3_1 ),
    inference(backward_demodulation,[],[f126,f212]) ).

fof(f126,plain,
    ( addition(multiplication(c(sK0),sK1),addition(multiplication(c(sK0),c(sK1)),multiplication(sK0,addition(sK1,c(sK1))))) != addition(one,addition(multiplication(c(sK0),sK1),addition(multiplication(c(sK0),c(sK1)),multiplication(sK0,addition(sK1,c(sK1))))))
    | spl3_1 ),
    inference(forward_demodulation,[],[f124,f63]) ).

fof(f124,plain,
    ( addition(multiplication(c(sK0),sK1),addition(multiplication(sK0,addition(sK1,c(sK1))),multiplication(c(sK0),c(sK1)))) != addition(one,addition(multiplication(c(sK0),sK1),addition(multiplication(sK0,addition(sK1,c(sK1))),multiplication(c(sK0),c(sK1)))))
    | spl3_1 ),
    inference(backward_demodulation,[],[f100,f116]) ).

fof(f100,plain,
    ( addition(multiplication(c(sK0),c(sK1)),addition(multiplication(c(sK0),sK1),multiplication(sK0,addition(sK1,c(sK1))))) != addition(one,addition(multiplication(c(sK0),c(sK1)),addition(multiplication(c(sK0),sK1),multiplication(sK0,addition(sK1,c(sK1))))))
    | spl3_1 ),
    inference(resolution,[],[f57,f84]) ).

fof(f84,plain,
    ( ~ leq(one,addition(multiplication(c(sK0),c(sK1)),addition(multiplication(c(sK0),sK1),multiplication(sK0,addition(sK1,c(sK1))))))
    | spl3_1 ),
    inference(forward_demodulation,[],[f83,f59]) ).

fof(f83,plain,
    ( ~ leq(one,addition(multiplication(c(sK0),c(sK1)),addition(multiplication(c(sK0),sK1),addition(multiplication(sK0,sK1),multiplication(sK0,c(sK1))))))
    | spl3_1 ),
    inference(forward_demodulation,[],[f82,f63]) ).

fof(f82,plain,
    ( ~ leq(one,addition(multiplication(c(sK0),c(sK1)),addition(addition(multiplication(sK0,sK1),multiplication(sK0,c(sK1))),multiplication(c(sK0),sK1))))
    | spl3_1 ),
    inference(forward_demodulation,[],[f77,f63]) ).

fof(f77,plain,
    ( ~ leq(one,addition(addition(addition(multiplication(sK0,sK1),multiplication(sK0,c(sK1))),multiplication(c(sK0),sK1)),multiplication(c(sK0),c(sK1))))
    | spl3_1 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f76,plain,
    ( spl3_1
  <=> leq(one,addition(addition(addition(multiplication(sK0,sK1),multiplication(sK0,c(sK1))),multiplication(c(sK0),sK1)),multiplication(c(sK0),c(sK1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f81,plain,
    ( ~ spl3_1
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f50,f79,f76]) ).

fof(f50,plain,
    ( ~ leq(addition(addition(addition(multiplication(sK0,sK1),multiplication(sK0,c(sK1))),multiplication(c(sK0),sK1)),multiplication(c(sK0),c(sK1))),one)
    | ~ leq(one,addition(addition(addition(multiplication(sK0,sK1),multiplication(sK0,c(sK1))),multiplication(c(sK0),sK1)),multiplication(c(sK0),c(sK1)))) ),
    inference(cnf_transformation,[],[f40]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : KLE009+4 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n027.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 21:23:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.aE2CQrKIPr/Vampire---4.8_21635
% 0.60/0.78  % (21830)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.60/0.78  % (21836)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.60/0.78  % (21836)Refutation not found, incomplete strategy% (21836)------------------------------
% 0.60/0.78  % (21836)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (21836)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (21836)Memory used [KB]: 984
% 0.60/0.78  % (21836)Time elapsed: 0.003 s
% 0.60/0.78  % (21836)Instructions burned: 3 (million)
% 0.60/0.78  % (21836)------------------------------
% 0.60/0.78  % (21836)------------------------------
% 0.60/0.78  % (21829)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.78  % (21831)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.78  % (21832)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.78  % (21833)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.78  % (21835)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.60/0.78  % (21834)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.78  % (21833)Refutation not found, incomplete strategy% (21833)------------------------------
% 0.60/0.78  % (21833)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (21833)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (21833)Memory used [KB]: 1056
% 0.60/0.78  % (21833)Time elapsed: 0.006 s
% 0.60/0.78  % (21834)Refutation not found, incomplete strategy% (21834)------------------------------
% 0.60/0.78  % (21834)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (21834)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (21834)Memory used [KB]: 1053
% 0.60/0.78  % (21834)Time elapsed: 0.006 s
% 0.60/0.78  % (21834)Instructions burned: 3 (million)
% 0.60/0.78  % (21833)Instructions burned: 3 (million)
% 0.60/0.78  % (21834)------------------------------
% 0.60/0.78  % (21834)------------------------------
% 0.60/0.78  % (21833)------------------------------
% 0.60/0.78  % (21833)------------------------------
% 0.60/0.78  % (21838)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.60/0.78  % (21829)Refutation not found, incomplete strategy% (21829)------------------------------
% 0.60/0.78  % (21829)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (21829)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (21829)Memory used [KB]: 1072
% 0.60/0.78  % (21829)Time elapsed: 0.006 s
% 0.60/0.78  % (21829)Instructions burned: 4 (million)
% 0.60/0.78  % (21832)Refutation not found, incomplete strategy% (21832)------------------------------
% 0.60/0.78  % (21832)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (21832)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (21829)------------------------------
% 0.60/0.78  % (21829)------------------------------
% 0.60/0.78  % (21832)Memory used [KB]: 1069
% 0.60/0.78  % (21832)Time elapsed: 0.007 s
% 0.60/0.78  % (21832)Instructions burned: 4 (million)
% 0.60/0.78  % (21832)------------------------------
% 0.60/0.78  % (21832)------------------------------
% 0.60/0.79  % (21839)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.60/0.79  % (21840)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.60/0.79  % (21841)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.60/0.79  % (21843)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.60/0.80  % (21830)Instruction limit reached!
% 0.60/0.80  % (21830)------------------------------
% 0.60/0.80  % (21830)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (21830)Termination reason: Unknown
% 0.60/0.81  % (21830)Termination phase: Saturation
% 0.60/0.81  
% 0.60/0.81  % (21830)Memory used [KB]: 1723
% 0.60/0.81  % (21830)Time elapsed: 0.031 s
% 0.60/0.81  % (21830)Instructions burned: 52 (million)
% 0.60/0.81  % (21830)------------------------------
% 0.60/0.81  % (21830)------------------------------
% 0.60/0.81  % (21841)First to succeed.
% 0.60/0.81  % (21846)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)
% 0.60/0.81  % (21841)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21798"
% 0.60/0.81  % (21838)Instruction limit reached!
% 0.60/0.81  % (21838)------------------------------
% 0.60/0.81  % (21838)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (21838)Termination reason: Unknown
% 0.60/0.81  % (21838)Termination phase: Saturation
% 0.60/0.81  
% 0.60/0.81  % (21838)Memory used [KB]: 1243
% 0.60/0.81  % (21838)Time elapsed: 0.030 s
% 0.60/0.81  % (21838)Instructions burned: 55 (million)
% 0.60/0.81  % (21838)------------------------------
% 0.60/0.81  % (21838)------------------------------
% 0.60/0.81  % (21841)Refutation found. Thanks to Tanya!
% 0.60/0.81  % SZS status Theorem for Vampire---4
% 0.60/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.81  % (21841)------------------------------
% 0.60/0.81  % (21841)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (21841)Termination reason: Refutation
% 0.60/0.81  
% 0.60/0.81  % (21841)Memory used [KB]: 1262
% 0.60/0.81  % (21841)Time elapsed: 0.023 s
% 0.60/0.81  % (21841)Instructions burned: 29 (million)
% 0.60/0.81  % (21798)Success in time 0.439 s
% 0.60/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------