TSTP Solution File: NUM842+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM842+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:02:32 EDT 2022

% Result   : Theorem 1.94s 0.61s
% Output   : Refutation 1.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  114 (  18 unt;   0 def)
%            Number of atoms       :  262 (  61 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  249 ( 101   ~; 118   |;  11   &)
%                                         (   8 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   5 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :  160 ( 153   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f979,plain,
    $false,
    inference(avatar_sat_refutation,[],[f233,f271,f305,f609,f809,f835,f978]) ).

fof(f978,plain,
    ( ~ spl4_4
    | ~ spl4_7 ),
    inference(avatar_contradiction_clause,[],[f977]) ).

fof(f977,plain,
    ( $false
    | ~ spl4_4
    | ~ spl4_7 ),
    inference(subsumption_resolution,[],[f876,f924]) ).

fof(f924,plain,
    ( ! [X0] : greater(vplus(vd353,X0),vplus(vd354,X0))
    | ~ spl4_4 ),
    inference(unit_resulting_resolution,[],[f231,f159]) ).

fof(f159,plain,
    ! [X2,X0,X1] :
      ( greater(vplus(X0,X1),vplus(X2,X1))
      | ~ greater(X0,X2) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X0,X1,X2] :
      ( ~ greater(X0,X2)
      | greater(vplus(X0,X1),vplus(X2,X1)) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1,X2] :
      ( greater(X0,X2)
     => greater(vplus(X0,X1),vplus(X2,X1)) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X7,X9,X8] :
      ( greater(X7,X8)
     => greater(vplus(X7,X9),vplus(X8,X9)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 2)') ).

fof(f231,plain,
    ( greater(vd353,vd354)
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f230,plain,
    ( spl4_4
  <=> greater(vd353,vd354) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f876,plain,
    ( ! [X0] : ~ greater(vplus(vd353,vplus(vd355,X0)),vplus(vd354,vplus(vd355,X0)))
    | ~ spl4_7 ),
    inference(forward_demodulation,[],[f235,f302]) ).

fof(f302,plain,
    ( vd355 = vd356
    | ~ spl4_7 ),
    inference(avatar_component_clause,[],[f300]) ).

fof(f300,plain,
    ( spl4_7
  <=> vd355 = vd356 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).

fof(f235,plain,
    ! [X0] : ~ greater(vplus(vd353,vplus(vd355,X0)),vplus(vd354,vplus(vd356,X0))),
    inference(forward_demodulation,[],[f234,f162]) ).

fof(f162,plain,
    ! [X2,X0,X1] : vplus(X1,vplus(X2,X0)) = vplus(vplus(X1,X2),X0),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0,X1,X2] : vplus(X1,vplus(X2,X0)) = vplus(vplus(X1,X2),X0),
    inference(rectify,[],[f65]) ).

fof(f65,plain,
    ! [X0,X2,X1] : vplus(vplus(X2,X1),X0) = vplus(X2,vplus(X1,X0)),
    inference(rectify,[],[f36]) ).

fof(f36,axiom,
    ! [X57,X56,X55] : vplus(vplus(X55,X56),X57) = vplus(X55,vplus(X56,X57)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).

fof(f234,plain,
    ! [X0] : ~ greater(vplus(vplus(vd353,vd355),X0),vplus(vd354,vplus(vd356,X0))),
    inference(forward_demodulation,[],[f210,f162]) ).

fof(f210,plain,
    ! [X0] : ~ greater(vplus(vplus(vd353,vd355),X0),vplus(vplus(vd354,vd356),X0)),
    inference(unit_resulting_resolution,[],[f189,f167]) ).

fof(f167,plain,
    ! [X2,X0,X1] :
      ( greater(X2,X0)
      | ~ greater(vplus(X2,X1),vplus(X0,X1)) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f125,plain,
    ! [X0,X1,X2] :
      ( greater(X2,X0)
      | ~ greater(vplus(X2,X1),vplus(X0,X1)) ),
    inference(rectify,[],[f87]) ).

fof(f87,plain,
    ! [X1,X2,X0] :
      ( greater(X0,X1)
      | ~ greater(vplus(X0,X2),vplus(X1,X2)) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X1,X2,X0] :
      ( greater(vplus(X0,X2),vplus(X1,X2))
     => greater(X0,X1) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X4,X5,X6] :
      ( greater(vplus(X4,X6),vplus(X5,X6))
     => greater(X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 2)') ).

fof(f189,plain,
    ~ greater(vplus(vd353,vd355),vplus(vd354,vd356)),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ~ greater(vplus(vd353,vd355),vplus(vd354,vd356)),
    inference(flattening,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ greater(vplus(vd353,vd355),vplus(vd354,vd356)),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    greater(vplus(vd353,vd355),vplus(vd354,vd356)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conseq(218), 361, 0)') ).

fof(f835,plain,
    ( spl4_2
    | spl4_4
    | spl4_7 ),
    inference(avatar_contradiction_clause,[],[f834]) ).

fof(f834,plain,
    ( $false
    | spl4_2
    | spl4_4
    | spl4_7 ),
    inference(subsumption_resolution,[],[f833,f832]) ).

fof(f832,plain,
    ( less(vplus(vd353,vd355),vplus(vd353,vd356))
    | spl4_4
    | spl4_7 ),
    inference(forward_demodulation,[],[f831,f336]) ).

fof(f336,plain,
    ( vd353 = vd354
    | spl4_4 ),
    inference(subsumption_resolution,[],[f332,f272]) ).

fof(f272,plain,
    geq(vd353,vd354),
    inference(subsumption_resolution,[],[f152,f187]) ).

fof(f187,plain,
    ! [X0,X1] :
      ( geq(X0,X1)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ( geq(X0,X1)
        | ( ~ greater(X0,X1)
          & X0 != X1 ) )
      & ( greater(X0,X1)
        | X0 = X1
        | ~ geq(X0,X1) ) ),
    inference(flattening,[],[f132]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( ( geq(X0,X1)
        | ( ~ greater(X0,X1)
          & X0 != X1 ) )
      & ( greater(X0,X1)
        | X0 = X1
        | ~ geq(X0,X1) ) ),
    inference(nnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( geq(X0,X1)
    <=> ( greater(X0,X1)
        | X0 = X1 ) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X28,X27] :
      ( ( X27 = X28
        | greater(X28,X27) )
    <=> geq(X28,X27) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)') ).

fof(f152,plain,
    ( greater(vd353,vd354)
    | geq(vd353,vd354) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( ( greater(vd355,vd356)
      & geq(vd353,vd354) )
    | ( greater(vd353,vd354)
      & geq(vd355,vd356) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dis(antec(218))') ).

fof(f332,plain,
    ( vd353 = vd354
    | ~ geq(vd353,vd354)
    | spl4_4 ),
    inference(resolution,[],[f232,f185]) ).

fof(f185,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ geq(X0,X1)
      | greater(X0,X1) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f232,plain,
    ( ~ greater(vd353,vd354)
    | spl4_4 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f831,plain,
    ( less(vplus(vd353,vd355),vplus(vd354,vd356))
    | spl4_4
    | spl4_7 ),
    inference(subsumption_resolution,[],[f830,f612]) ).

fof(f612,plain,
    ( ! [X0] : vplus(X0,vd355) != vplus(X0,vd356)
    | spl4_7 ),
    inference(unit_resulting_resolution,[],[f301,f171]) ).

fof(f171,plain,
    ! [X2,X0,X1] :
      ( X0 = X1
      | vplus(X2,X1) != vplus(X2,X0) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ! [X2] : vplus(X2,X1) != vplus(X2,X0) ),
    inference(ennf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X1,X0] :
      ( X0 != X1
     => ! [X2] : vplus(X2,X1) != vplus(X2,X0) ),
    inference(rectify,[],[f31]) ).

fof(f31,axiom,
    ! [X46,X45] :
      ( X45 != X46
     => ! [X47] : vplus(X47,X45) != vplus(X47,X46) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(81, 0), 0)') ).

fof(f301,plain,
    ( vd355 != vd356
    | spl4_7 ),
    inference(avatar_component_clause,[],[f300]) ).

fof(f830,plain,
    ( less(vplus(vd353,vd355),vplus(vd354,vd356))
    | vplus(vd353,vd355) = vplus(vd353,vd356)
    | spl4_4 ),
    inference(forward_demodulation,[],[f281,f336]) ).

fof(f281,plain,
    ( vplus(vd353,vd355) = vplus(vd354,vd356)
    | less(vplus(vd353,vd355),vplus(vd354,vd356)) ),
    inference(resolution,[],[f189,f145]) ).

fof(f145,plain,
    ! [X0,X1] :
      ( X0 = X1
      | greater(X1,X0)
      | less(X1,X0) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( X0 = X1
      | greater(X1,X0)
      | less(X1,X0) ),
    inference(rectify,[],[f70]) ).

fof(f70,plain,
    ! [X1,X0] :
      ( X0 = X1
      | greater(X0,X1)
      | less(X0,X1) ),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X33,X34] :
      ( less(X33,X34)
      | X33 = X34
      | greater(X33,X34) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).

fof(f833,plain,
    ( ~ less(vplus(vd353,vd355),vplus(vd353,vd356))
    | spl4_2
    | spl4_4 ),
    inference(forward_demodulation,[],[f222,f336]) ).

fof(f222,plain,
    ( ~ less(vplus(vd353,vd355),vplus(vd354,vd356))
    | spl4_2 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f221,plain,
    ( spl4_2
  <=> less(vplus(vd353,vd355),vplus(vd354,vd356)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f809,plain,
    ( ~ spl4_2
    | ~ spl4_3
    | spl4_4 ),
    inference(avatar_contradiction_clause,[],[f808]) ).

fof(f808,plain,
    ( $false
    | ~ spl4_2
    | ~ spl4_3
    | spl4_4 ),
    inference(subsumption_resolution,[],[f807,f205]) ).

fof(f205,plain,
    ! [X1] : ~ greater(X1,X1),
    inference(equality_resolution,[],[f176]) ).

fof(f176,plain,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | X0 != X1 ),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ! [X33,X34] :
      ( X33 != X34
      | ~ greater(X33,X34) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).

fof(f807,plain,
    ( greater(vplus(vd353,vplus(vd355,vd356)),vplus(vd353,vplus(vd355,vd356)))
    | ~ spl4_2
    | ~ spl4_3
    | spl4_4 ),
    inference(forward_demodulation,[],[f806,f160]) ).

fof(f160,plain,
    ! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
    inference(rectify,[],[f33]) ).

fof(f33,axiom,
    ! [X50,X51] : vplus(X51,X50) = vplus(X50,X51),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).

fof(f806,plain,
    ( greater(vplus(vd353,vplus(vd356,vd355)),vplus(vd353,vplus(vd355,vd356)))
    | ~ spl4_2
    | ~ spl4_3
    | spl4_4 ),
    inference(forward_demodulation,[],[f805,f162]) ).

fof(f805,plain,
    ( greater(vplus(vplus(vd353,vd356),vd355),vplus(vd353,vplus(vd355,vd356)))
    | ~ spl4_2
    | ~ spl4_3
    | spl4_4 ),
    inference(forward_demodulation,[],[f783,f162]) ).

fof(f783,plain,
    ( greater(vplus(vplus(vd353,vd356),vd355),vplus(vplus(vd353,vd355),vd356))
    | ~ spl4_2
    | ~ spl4_3
    | spl4_4 ),
    inference(unit_resulting_resolution,[],[f227,f397,f143]) ).

fof(f143,plain,
    ! [X2,X3,X0,X1] :
      ( greater(vplus(X0,X2),vplus(X1,X3))
      | ~ greater(X0,X1)
      | ~ greater(X2,X3) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X0,X1,X2,X3] :
      ( ~ greater(X2,X3)
      | ~ greater(X0,X1)
      | greater(vplus(X0,X2),vplus(X1,X3)) ),
    inference(rectify,[],[f99]) ).

fof(f99,plain,
    ! [X2,X0,X3,X1] :
      ( ~ greater(X3,X1)
      | ~ greater(X2,X0)
      | greater(vplus(X2,X3),vplus(X0,X1)) ),
    inference(flattening,[],[f98]) ).

fof(f98,plain,
    ! [X0,X3,X2,X1] :
      ( greater(vplus(X2,X3),vplus(X0,X1))
      | ~ greater(X3,X1)
      | ~ greater(X2,X0) ),
    inference(ennf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0,X3,X2,X1] :
      ( ( greater(X3,X1)
        & greater(X2,X0) )
     => greater(vplus(X2,X3),vplus(X0,X1)) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X1,X3,X0,X2] :
      ( ( greater(X2,X3)
        & greater(X0,X1) )
     => greater(vplus(X0,X2),vplus(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(209, 0), 0)') ).

fof(f397,plain,
    ( greater(vplus(vd353,vd356),vplus(vd353,vd355))
    | ~ spl4_2
    | spl4_4 ),
    inference(unit_resulting_resolution,[],[f339,f150]) ).

fof(f150,plain,
    ! [X0,X1] :
      ( greater(X0,X1)
      | ~ less(X1,X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( greater(X0,X1)
      | ~ less(X1,X0) ),
    inference(rectify,[],[f83]) ).

fof(f83,plain,
    ! [X1,X0] :
      ( greater(X1,X0)
      | ~ less(X0,X1) ),
    inference(ennf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( less(X0,X1)
     => greater(X1,X0) ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X29,X30] :
      ( less(X29,X30)
     => greater(X30,X29) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).

fof(f339,plain,
    ( less(vplus(vd353,vd355),vplus(vd353,vd356))
    | ~ spl4_2
    | spl4_4 ),
    inference(backward_demodulation,[],[f223,f336]) ).

fof(f223,plain,
    ( less(vplus(vd353,vd355),vplus(vd354,vd356))
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f227,plain,
    ( greater(vd355,vd356)
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f226,plain,
    ( spl4_3
  <=> greater(vd355,vd356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f609,plain,
    ( ~ spl4_7
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f607,f226,f300]) ).

fof(f607,plain,
    ( vd355 != vd356
    | ~ spl4_3 ),
    inference(superposition,[],[f206,f313]) ).

fof(f313,plain,
    ( vd355 = vplus(vd356,sK1(vd356,vd355))
    | ~ spl4_3 ),
    inference(unit_resulting_resolution,[],[f227,f157]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( ~ greater(X1,X0)
      | vplus(X0,sK1(X0,X1)) = X1 ),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( ( greater(X1,X0)
        | ! [X2] : vplus(X0,X2) != X1 )
      & ( vplus(X0,sK1(X0,X1)) = X1
        | ~ greater(X1,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f120,f121]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( ? [X3] : vplus(X0,X3) = X1
     => vplus(X0,sK1(X0,X1)) = X1 ),
    introduced(choice_axiom,[]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( ( greater(X1,X0)
        | ! [X2] : vplus(X0,X2) != X1 )
      & ( ? [X3] : vplus(X0,X3) = X1
        | ~ greater(X1,X0) ) ),
    inference(rectify,[],[f119]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( ( greater(X1,X0)
        | ! [X2] : vplus(X0,X2) != X1 )
      & ( ? [X2] : vplus(X0,X2) = X1
        | ~ greater(X1,X0) ) ),
    inference(nnf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
    <=> ? [X2] : vplus(X0,X2) = X1 ),
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ! [X38,X39] :
      ( greater(X39,X38)
    <=> ? [X40] : vplus(X38,X40) = X39 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).

fof(f206,plain,
    ! [X2,X0] : vplus(X0,X2) != X0,
    inference(equality_resolution,[],[f177]) ).

fof(f177,plain,
    ! [X2,X0,X1] :
      ( vplus(X0,X2) != X1
      | X0 != X1 ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ! [X2] : vplus(X0,X2) != X1
      | X0 != X1 ),
    inference(ennf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ ? [X2] : vplus(X0,X2) = X1 ),
    inference(rectify,[],[f30]) ).

fof(f30,axiom,
    ! [X42,X41] :
      ( X41 != X42
      | ~ ? [X43] : vplus(X42,X43) = X41 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 3)') ).

fof(f305,plain,
    ( spl4_7
    | spl4_3 ),
    inference(avatar_split_clause,[],[f304,f226,f300]) ).

fof(f304,plain,
    ( vd355 = vd356
    | spl4_3 ),
    inference(subsumption_resolution,[],[f291,f287]) ).

fof(f287,plain,
    ( geq(vd355,vd356)
    | spl4_3 ),
    inference(unit_resulting_resolution,[],[f228,f153]) ).

fof(f153,plain,
    ( geq(vd355,vd356)
    | greater(vd355,vd356) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f228,plain,
    ( ~ greater(vd355,vd356)
    | spl4_3 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f291,plain,
    ( vd355 = vd356
    | ~ geq(vd355,vd356)
    | spl4_3 ),
    inference(resolution,[],[f228,f185]) ).

fof(f271,plain,
    ( spl4_4
    | spl4_3 ),
    inference(avatar_split_clause,[],[f154,f226,f230]) ).

fof(f154,plain,
    ( greater(vd355,vd356)
    | greater(vd353,vd354) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f233,plain,
    ( ~ spl4_3
    | ~ spl4_4 ),
    inference(avatar_split_clause,[],[f211,f230,f226]) ).

fof(f211,plain,
    ( ~ greater(vd353,vd354)
    | ~ greater(vd355,vd356) ),
    inference(resolution,[],[f189,f143]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : NUM842+1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 08:57:32 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.53  % (19845)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)
% 0.20/0.53  % (19846)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)
% 0.20/0.53  % (19837)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)
% 0.20/0.54  % (19854)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)
% 0.20/0.54  % (19838)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)
% 0.20/0.54  % (19845)Instruction limit reached!
% 0.20/0.54  % (19845)------------------------------
% 0.20/0.54  % (19845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (19845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (19845)Termination reason: Unknown
% 0.20/0.54  % (19845)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (19845)Memory used [KB]: 6140
% 0.20/0.54  % (19845)Time elapsed: 0.106 s
% 0.20/0.54  % (19845)Instructions burned: 9 (million)
% 0.20/0.54  % (19845)------------------------------
% 0.20/0.54  % (19845)------------------------------
% 0.20/0.55  % (19855)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)
% 0.20/0.55  % (19834)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)
% 0.20/0.55  % (19853)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)
% 0.20/0.55  % (19835)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)
% 0.20/0.56  % (19853)Refutation not found, incomplete strategy% (19853)------------------------------
% 0.20/0.56  % (19853)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (19853)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (19853)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56  
% 0.20/0.56  % (19853)Memory used [KB]: 1535
% 0.20/0.56  % (19853)Time elapsed: 0.133 s
% 0.20/0.56  % (19853)Instructions burned: 4 (million)
% 0.20/0.56  % (19853)------------------------------
% 0.20/0.56  % (19853)------------------------------
% 0.20/0.56  % (19832)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)
% 0.20/0.56  % (19833)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)
% 0.20/0.56  % (19851)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)
% 0.20/0.56  % (19836)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)
% 0.20/0.57  % (19859)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)
% 0.20/0.57  % (19832)Instruction limit reached!
% 0.20/0.57  % (19832)------------------------------
% 0.20/0.57  % (19832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (19832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (19832)Termination reason: Unknown
% 0.20/0.57  % (19832)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (19832)Memory used [KB]: 1535
% 0.20/0.57  % (19847)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.57  % (19832)Time elapsed: 0.004 s
% 0.20/0.57  % (19832)Instructions burned: 3 (million)
% 0.20/0.57  % (19832)------------------------------
% 0.20/0.57  % (19832)------------------------------
% 0.20/0.57  % (19842)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)
% 0.20/0.57  % (19847)Instruction limit reached!
% 0.20/0.57  % (19847)------------------------------
% 0.20/0.57  % (19847)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (19847)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (19847)Termination reason: Unknown
% 0.20/0.57  % (19847)Termination phase: Finite model building preprocessing
% 0.20/0.57  
% 0.20/0.57  % (19847)Memory used [KB]: 6012
% 0.20/0.57  % (19847)Time elapsed: 0.003 s
% 0.20/0.57  % (19847)Instructions burned: 5 (million)
% 0.20/0.57  % (19847)------------------------------
% 0.20/0.57  % (19847)------------------------------
% 0.20/0.57  % (19840)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)
% 0.20/0.57  % (19857)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)
% 0.20/0.57  % (19858)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)
% 0.20/0.57  % (19831)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)
% 0.20/0.57  % (19858)Refutation not found, incomplete strategy% (19858)------------------------------
% 0.20/0.57  % (19858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (19858)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (19858)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57  
% 0.20/0.57  % (19858)Memory used [KB]: 6012
% 0.20/0.57  % (19858)Time elapsed: 0.169 s
% 0.20/0.57  % (19858)Instructions burned: 3 (million)
% 0.20/0.57  % (19858)------------------------------
% 0.20/0.57  % (19858)------------------------------
% 0.20/0.57  % (19841)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)
% 0.20/0.58  % (19831)Refutation not found, incomplete strategy% (19831)------------------------------
% 0.20/0.58  % (19831)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (19831)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (19831)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.58  
% 0.20/0.58  % (19831)Memory used [KB]: 6012
% 0.20/0.58  % (19831)Time elapsed: 0.122 s
% 0.20/0.58  % (19831)Instructions burned: 3 (million)
% 0.20/0.58  % (19831)------------------------------
% 0.20/0.58  % (19831)------------------------------
% 0.20/0.58  % (19848)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)
% 0.20/0.58  % (19852)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)
% 0.20/0.58  % (19839)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)
% 0.20/0.58  % (19843)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)
% 0.20/0.58  % (19850)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)
% 0.20/0.58  % (19830)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.58  % (19835)Refutation not found, incomplete strategy% (19835)------------------------------
% 0.20/0.58  % (19835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (19835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (19835)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.58  
% 0.20/0.58  % (19835)Memory used [KB]: 1535
% 0.20/0.58  % (19835)Time elapsed: 0.165 s
% 0.20/0.58  % (19835)Instructions burned: 4 (million)
% 0.20/0.58  % (19835)------------------------------
% 0.20/0.58  % (19835)------------------------------
% 0.20/0.58  % (19840)Instruction limit reached!
% 0.20/0.58  % (19840)------------------------------
% 0.20/0.58  % (19840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (19840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (19840)Termination reason: Unknown
% 0.20/0.58  % (19840)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (19840)Memory used [KB]: 6268
% 0.20/0.58  % (19840)Time elapsed: 0.174 s
% 0.20/0.58  % (19840)Instructions burned: 12 (million)
% 0.20/0.58  % (19840)------------------------------
% 0.20/0.58  % (19840)------------------------------
% 0.20/0.58  % (19848)Instruction limit reached!
% 0.20/0.58  % (19848)------------------------------
% 0.20/0.58  % (19848)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (19848)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (19848)Termination reason: Unknown
% 0.20/0.58  % (19848)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (19848)Memory used [KB]: 1407
% 0.20/0.58  % (19848)Time elapsed: 0.005 s
% 0.20/0.58  % (19848)Instructions burned: 2 (million)
% 0.20/0.58  % (19848)------------------------------
% 0.20/0.58  % (19848)------------------------------
% 0.20/0.58  % (19849)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)
% 0.20/0.58  % (19844)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)
% 0.20/0.58  % (19842)Refutation not found, incomplete strategy% (19842)------------------------------
% 0.20/0.58  % (19842)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (19842)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (19842)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.58  
% 0.20/0.58  % (19842)Memory used [KB]: 1535
% 0.20/0.58  % (19842)Time elapsed: 0.166 s
% 0.20/0.58  % (19842)Instructions burned: 4 (million)
% 0.20/0.58  % (19842)------------------------------
% 0.20/0.58  % (19842)------------------------------
% 0.20/0.58  % (19849)Instruction limit reached!
% 0.20/0.58  % (19849)------------------------------
% 0.20/0.58  % (19849)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (19849)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (19849)Termination reason: Unknown
% 0.20/0.58  % (19849)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (19849)Memory used [KB]: 6140
% 0.20/0.58  % (19849)Time elapsed: 0.171 s
% 0.20/0.58  % (19849)Instructions burned: 12 (million)
% 0.20/0.58  % (19849)------------------------------
% 0.20/0.58  % (19849)------------------------------
% 0.20/0.58  % (19856)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)
% 0.20/0.59  % (19834)Instruction limit reached!
% 0.20/0.59  % (19834)------------------------------
% 0.20/0.59  % (19834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (19834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (19834)Termination reason: Unknown
% 0.20/0.59  % (19834)Termination phase: Saturation
% 0.20/0.59  
% 0.20/0.59  % (19834)Memory used [KB]: 6140
% 0.20/0.59  % (19834)Time elapsed: 0.161 s
% 0.20/0.59  % (19834)Instructions burned: 13 (million)
% 0.20/0.59  % (19834)------------------------------
% 0.20/0.59  % (19834)------------------------------
% 0.20/0.60  % (19844)Instruction limit reached!
% 0.20/0.60  % (19844)------------------------------
% 0.20/0.60  % (19844)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (19844)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (19844)Termination reason: Unknown
% 0.20/0.60  % (19844)Termination phase: Property scanning
% 0.20/0.60  
% 0.20/0.60  % (19844)Memory used [KB]: 1535
% 0.20/0.60  % (19844)Time elapsed: 0.004 s
% 0.20/0.60  % (19844)Instructions burned: 3 (million)
% 0.20/0.60  % (19844)------------------------------
% 0.20/0.60  % (19844)------------------------------
% 1.94/0.60  % (19841)Instruction limit reached!
% 1.94/0.60  % (19841)------------------------------
% 1.94/0.60  % (19841)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.60  % (19841)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.60  % (19841)Termination reason: Unknown
% 1.94/0.60  % (19841)Termination phase: Saturation
% 1.94/0.60  
% 1.94/0.60  % (19841)Memory used [KB]: 6140
% 1.94/0.60  % (19841)Time elapsed: 0.171 s
% 1.94/0.60  % (19841)Instructions burned: 8 (million)
% 1.94/0.60  % (19841)------------------------------
% 1.94/0.60  % (19841)------------------------------
% 1.94/0.60  % (19839)Instruction limit reached!
% 1.94/0.60  % (19839)------------------------------
% 1.94/0.60  % (19839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.60  % (19839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.60  % (19839)Termination reason: Unknown
% 1.94/0.60  % (19839)Termination phase: Saturation
% 1.94/0.60  
% 1.94/0.60  % (19839)Memory used [KB]: 6396
% 1.94/0.60  % (19839)Time elapsed: 0.135 s
% 1.94/0.60  % (19839)Instructions burned: 33 (million)
% 1.94/0.60  % (19839)------------------------------
% 1.94/0.60  % (19839)------------------------------
% 1.94/0.60  % (19837)First to succeed.
% 1.94/0.61  % (19837)Refutation found. Thanks to Tanya!
% 1.94/0.61  % SZS status Theorem for theBenchmark
% 1.94/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.94/0.61  % (19837)------------------------------
% 1.94/0.61  % (19837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.61  % (19837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.61  % (19837)Termination reason: Refutation
% 1.94/0.61  
% 1.94/0.61  % (19837)Memory used [KB]: 6396
% 1.94/0.61  % (19837)Time elapsed: 0.159 s
% 1.94/0.61  % (19837)Instructions burned: 33 (million)
% 1.94/0.61  % (19837)------------------------------
% 1.94/0.61  % (19837)------------------------------
% 1.94/0.61  % (19829)Success in time 0.246 s
%------------------------------------------------------------------------------