TSTP Solution File: PRO005+4 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : PRO005+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n008.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 08:47:32 EDT 2024

% Result   : Theorem 2.20s 0.65s
% Output   : Refutation 2.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   39
%            Number of leaves      :   49
% Syntax   : Number of formulae    :  282 ( 100 unt;   0 def)
%            Number of atoms       :  809 (  29 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  810 ( 283   ~; 264   |; 192   &)
%                                         (  21 <=>;  50  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   23 (  21 usr;   1 prp; 0-3 aty)
%            Number of functors    :   19 (  19 usr;   6 con; 0-3 aty)
%            Number of variables   :  534 ( 453   !;  81   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10768,plain,
    $false,
    inference(subsumption_resolution,[],[f10767,f5079]) ).

fof(f5079,plain,
    ~ occurrence_of(sK10(sK6(sK4)),tptp3),
    inference(unit_resulting_resolution,[],[f202,f4964,f261]) ).

fof(f261,plain,
    ! [X2,X0,X1] :
      ( ~ occurrence_of(X0,X2)
      | X1 = X2
      | ~ occurrence_of(X0,X1) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1) ),
    inference(flattening,[],[f122]) ).

fof(f122,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1) ),
    inference(ennf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1,X2] :
      ( ( occurrence_of(X0,X2)
        & occurrence_of(X0,X1) )
     => X1 = X2 ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X28,X29,X30] :
      ( ( occurrence_of(X28,X30)
        & occurrence_of(X28,X29) )
     => X29 = X30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).

fof(f4964,plain,
    occurrence_of(sK10(sK6(sK4)),tptp1),
    inference(unit_resulting_resolution,[],[f348,f2120,f2087,f2088,f225]) ).

fof(f225,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | occurrence_of(sK10(X0),tptp1)
      | ~ occurrence_of(X1,tptp0) ),
    inference(cnf_transformation,[],[f160]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( ( next_subocc(X0,sK10(X0),tptp0)
        & occurrence_of(sK10(X0),tptp1) )
      | leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f106,f159]) ).

fof(f159,plain,
    ! [X0] :
      ( ? [X2] :
          ( next_subocc(X0,X2,tptp0)
          & occurrence_of(X2,tptp1) )
     => ( next_subocc(X0,sK10(X0),tptp0)
        & occurrence_of(sK10(X0),tptp1) ) ),
    introduced(choice_axiom,[]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( next_subocc(X0,X2,tptp0)
          & occurrence_of(X2,tptp1) )
      | leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0) ),
    inference(flattening,[],[f105]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( next_subocc(X0,X2,tptp0)
          & occurrence_of(X2,tptp1) )
      | leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0) ),
    inference(ennf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ( ~ leaf_occ(X0,X1)
        & arboreal(X0)
        & subactivity_occurrence(X0,X1)
        & occurrence_of(X1,tptp0) )
     => ? [X2] :
          ( next_subocc(X0,X2,tptp0)
          & occurrence_of(X2,tptp1) ) ),
    inference(rectify,[],[f47]) ).

fof(f47,axiom,
    ! [X106,X107] :
      ( ( ~ leaf_occ(X106,X107)
        & arboreal(X106)
        & subactivity_occurrence(X106,X107)
        & occurrence_of(X107,tptp0) )
     => ? [X108] :
          ( next_subocc(X106,X108,tptp0)
          & occurrence_of(X108,tptp1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_46) ).

fof(f2088,plain,
    occurrence_of(sK18(sK12(tptp0,sK6(sK4)),sK6(sK4),tptp0),tptp0),
    inference(unit_resulting_resolution,[],[f2023,f254]) ).

fof(f254,plain,
    ! [X2,X0,X1] :
      ( ~ sP2(X0,X1,X2)
      | occurrence_of(sK18(X0,X1,X2),X2) ),
    inference(cnf_transformation,[],[f187]) ).

fof(f187,plain,
    ! [X0,X1,X2] :
      ( ( subactivity_occurrence(X0,sK18(X0,X1,X2))
        & subactivity_occurrence(X1,sK18(X0,X1,X2))
        & occurrence_of(sK18(X0,X1,X2),X2) )
      | ~ sP2(X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f185,f186]) ).

fof(f186,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( subactivity_occurrence(X0,X3)
          & subactivity_occurrence(X1,X3)
          & occurrence_of(X3,X2) )
     => ( subactivity_occurrence(X0,sK18(X0,X1,X2))
        & subactivity_occurrence(X1,sK18(X0,X1,X2))
        & occurrence_of(sK18(X0,X1,X2),X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f185,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( subactivity_occurrence(X0,X3)
          & subactivity_occurrence(X1,X3)
          & occurrence_of(X3,X2) )
      | ~ sP2(X0,X1,X2) ),
    inference(rectify,[],[f184]) ).

fof(f184,plain,
    ! [X2,X1,X0] :
      ( ? [X3] :
          ( subactivity_occurrence(X2,X3)
          & subactivity_occurrence(X1,X3)
          & occurrence_of(X3,X0) )
      | ~ sP2(X2,X1,X0) ),
    inference(nnf_transformation,[],[f143]) ).

fof(f143,plain,
    ! [X2,X1,X0] :
      ( ? [X3] :
          ( subactivity_occurrence(X2,X3)
          & subactivity_occurrence(X1,X3)
          & occurrence_of(X3,X0) )
      | ~ sP2(X2,X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f2023,plain,
    sP2(sK12(tptp0,sK6(sK4)),sK6(sK4),tptp0),
    inference(unit_resulting_resolution,[],[f2006,f257]) ).

fof(f257,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X1,X2,X0)
      | sP2(X2,X1,X0) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ! [X0,X1,X2] :
      ( sP2(X2,X1,X0)
      | ~ min_precedes(X1,X2,X0) ),
    inference(definition_folding,[],[f115,f143]) ).

fof(f115,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( subactivity_occurrence(X2,X3)
          & subactivity_occurrence(X1,X3)
          & occurrence_of(X3,X0) )
      | ~ min_precedes(X1,X2,X0) ),
    inference(ennf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0,X1,X2] :
      ( min_precedes(X1,X2,X0)
     => ? [X3] :
          ( subactivity_occurrence(X2,X3)
          & subactivity_occurrence(X1,X3)
          & occurrence_of(X3,X0) ) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X21,X22,X23] :
      ( min_precedes(X22,X23,X21)
     => ? [X24] :
          ( subactivity_occurrence(X23,X24)
          & subactivity_occurrence(X22,X24)
          & occurrence_of(X24,X21) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).

fof(f2006,plain,
    min_precedes(sK6(sK4),sK12(tptp0,sK6(sK4)),tptp0),
    inference(unit_resulting_resolution,[],[f460,f582,f231]) ).

fof(f231,plain,
    ! [X0,X1] :
      ( ~ root(X1,X0)
      | min_precedes(X1,sK12(X0,X1),X0)
      | sP1(X0,X1) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( ( sP1(X0,X1)
        | min_precedes(X1,sK12(X0,X1),X0)
        | ( ! [X3] : ~ min_precedes(X3,X1,X0)
          & ~ root(X1,X0) ) )
      & ( ( ! [X4] : ~ min_precedes(X1,X4,X0)
          & ( min_precedes(sK13(X0,X1),X1,X0)
            | root(X1,X0) ) )
        | ~ sP1(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f165,f167,f166]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( ? [X2] : min_precedes(X1,X2,X0)
     => min_precedes(X1,sK12(X0,X1),X0) ),
    introduced(choice_axiom,[]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( ? [X5] : min_precedes(X5,X1,X0)
     => min_precedes(sK13(X0,X1),X1,X0) ),
    introduced(choice_axiom,[]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( ( sP1(X0,X1)
        | ? [X2] : min_precedes(X1,X2,X0)
        | ( ! [X3] : ~ min_precedes(X3,X1,X0)
          & ~ root(X1,X0) ) )
      & ( ( ! [X4] : ~ min_precedes(X1,X4,X0)
          & ( ? [X5] : min_precedes(X5,X1,X0)
            | root(X1,X0) ) )
        | ~ sP1(X0,X1) ) ),
    inference(rectify,[],[f164]) ).

fof(f164,plain,
    ! [X1,X0] :
      ( ( sP1(X1,X0)
        | ? [X2] : min_precedes(X0,X2,X1)
        | ( ! [X3] : ~ min_precedes(X3,X0,X1)
          & ~ root(X0,X1) ) )
      & ( ( ! [X2] : ~ min_precedes(X0,X2,X1)
          & ( ? [X3] : min_precedes(X3,X0,X1)
            | root(X0,X1) ) )
        | ~ sP1(X1,X0) ) ),
    inference(flattening,[],[f163]) ).

fof(f163,plain,
    ! [X1,X0] :
      ( ( sP1(X1,X0)
        | ? [X2] : min_precedes(X0,X2,X1)
        | ( ! [X3] : ~ min_precedes(X3,X0,X1)
          & ~ root(X0,X1) ) )
      & ( ( ! [X2] : ~ min_precedes(X0,X2,X1)
          & ( ? [X3] : min_precedes(X3,X0,X1)
            | root(X0,X1) ) )
        | ~ sP1(X1,X0) ) ),
    inference(nnf_transformation,[],[f141]) ).

fof(f141,plain,
    ! [X1,X0] :
      ( sP1(X1,X0)
    <=> ( ! [X2] : ~ min_precedes(X0,X2,X1)
        & ( ? [X3] : min_precedes(X3,X0,X1)
          | root(X0,X1) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f582,plain,
    root(sK6(sK4),tptp0),
    inference(superposition,[],[f400,f521]) ).

fof(f521,plain,
    tptp0 = sK15(sK6(sK4),sK4),
    inference(unit_resulting_resolution,[],[f194,f386,f261]) ).

fof(f386,plain,
    occurrence_of(sK4,sK15(sK6(sK4),sK4)),
    inference(unit_resulting_resolution,[],[f309,f240]) ).

fof(f240,plain,
    ! [X0,X1] :
      ( ~ root_occ(X0,X1)
      | occurrence_of(X1,sK15(X0,X1)) ),
    inference(cnf_transformation,[],[f177]) ).

fof(f177,plain,
    ! [X0,X1] :
      ( ( root_occ(X0,X1)
        | ! [X2] :
            ( ~ root(X0,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ occurrence_of(X1,X2) ) )
      & ( ( root(X0,sK15(X0,X1))
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,sK15(X0,X1)) )
        | ~ root_occ(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f175,f176]) ).

fof(f176,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( root(X0,X3)
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,X3) )
     => ( root(X0,sK15(X0,X1))
        & subactivity_occurrence(X0,X1)
        & occurrence_of(X1,sK15(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f175,plain,
    ! [X0,X1] :
      ( ( root_occ(X0,X1)
        | ! [X2] :
            ( ~ root(X0,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ occurrence_of(X1,X2) ) )
      & ( ? [X3] :
            ( root(X0,X3)
            & subactivity_occurrence(X0,X1)
            & occurrence_of(X1,X3) )
        | ~ root_occ(X0,X1) ) ),
    inference(rectify,[],[f174]) ).

fof(f174,plain,
    ! [X0,X1] :
      ( ( root_occ(X0,X1)
        | ! [X2] :
            ( ~ root(X0,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ occurrence_of(X1,X2) ) )
      & ( ? [X2] :
            ( root(X0,X2)
            & subactivity_occurrence(X0,X1)
            & occurrence_of(X1,X2) )
        | ~ root_occ(X0,X1) ) ),
    inference(nnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( root_occ(X0,X1)
    <=> ? [X2] :
          ( root(X0,X2)
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,X2) ) ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X58,X59] :
      ( root_occ(X58,X59)
    <=> ? [X60] :
          ( root(X58,X60)
          & subactivity_occurrence(X58,X59)
          & occurrence_of(X59,X60) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_19) ).

fof(f309,plain,
    root_occ(sK6(sK4),sK4),
    inference(unit_resulting_resolution,[],[f285,f209]) ).

fof(f209,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | root_occ(sK6(X0),X0) ),
    inference(cnf_transformation,[],[f153]) ).

fof(f153,plain,
    ! [X0] :
      ( ( next_subocc(sK6(X0),sK7(X0),tptp0)
        & leaf_occ(sK7(X0),X0)
        & ( occurrence_of(sK7(X0),tptp2)
          | occurrence_of(sK7(X0),tptp3) )
        & root_occ(sK6(X0),X0)
        & occurrence_of(sK6(X0),tptp4) )
      | ~ sP0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f151,f152]) ).

fof(f152,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( next_subocc(X1,X2,tptp0)
          & leaf_occ(X2,X0)
          & ( occurrence_of(X2,tptp2)
            | occurrence_of(X2,tptp3) )
          & root_occ(X1,X0)
          & occurrence_of(X1,tptp4) )
     => ( next_subocc(sK6(X0),sK7(X0),tptp0)
        & leaf_occ(sK7(X0),X0)
        & ( occurrence_of(sK7(X0),tptp2)
          | occurrence_of(sK7(X0),tptp3) )
        & root_occ(sK6(X0),X0)
        & occurrence_of(sK6(X0),tptp4) ) ),
    introduced(choice_axiom,[]) ).

fof(f151,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( next_subocc(X1,X2,tptp0)
          & leaf_occ(X2,X0)
          & ( occurrence_of(X2,tptp2)
            | occurrence_of(X2,tptp3) )
          & root_occ(X1,X0)
          & occurrence_of(X1,tptp4) )
      | ~ sP0(X0) ),
    inference(nnf_transformation,[],[f139]) ).

fof(f139,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( next_subocc(X1,X2,tptp0)
          & leaf_occ(X2,X0)
          & ( occurrence_of(X2,tptp2)
            | occurrence_of(X2,tptp3) )
          & root_occ(X1,X0)
          & occurrence_of(X1,tptp4) )
      | ~ sP0(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f285,plain,
    sP0(sK4),
    inference(unit_resulting_resolution,[],[f194,f213]) ).

fof(f213,plain,
    ! [X0] :
      ( ~ occurrence_of(X0,tptp0)
      | sP0(X0) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f140,plain,
    ! [X0] :
      ( sP0(X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(definition_folding,[],[f94,f139]) ).

fof(f94,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( next_subocc(X1,X2,tptp0)
          & leaf_occ(X2,X0)
          & ( occurrence_of(X2,tptp2)
            | occurrence_of(X2,tptp3) )
          & root_occ(X1,X0)
          & occurrence_of(X1,tptp4) )
      | ~ occurrence_of(X0,tptp0) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X0] :
      ( occurrence_of(X0,tptp0)
     => ? [X1,X2] :
          ( next_subocc(X1,X2,tptp0)
          & leaf_occ(X2,X0)
          & ( occurrence_of(X2,tptp2)
            | occurrence_of(X2,tptp3) )
          & root_occ(X1,X0)
          & occurrence_of(X1,tptp4) ) ),
    inference(rectify,[],[f33]) ).

fof(f33,axiom,
    ! [X101] :
      ( occurrence_of(X101,tptp0)
     => ? [X102,X103] :
          ( next_subocc(X102,X103,tptp0)
          & leaf_occ(X103,X101)
          & ( occurrence_of(X103,tptp2)
            | occurrence_of(X103,tptp3) )
          & root_occ(X102,X101)
          & occurrence_of(X102,tptp4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).

fof(f194,plain,
    occurrence_of(sK4,tptp0),
    inference(cnf_transformation,[],[f148]) ).

fof(f148,plain,
    occurrence_of(sK4,tptp0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f51,f147]) ).

fof(f147,plain,
    ( ? [X0] : occurrence_of(X0,tptp0)
   => occurrence_of(sK4,tptp0) ),
    introduced(choice_axiom,[]) ).

fof(f51,plain,
    ? [X0] : occurrence_of(X0,tptp0),
    inference(flattening,[],[f50]) ).

fof(f50,plain,
    ~ ~ ? [X0] : occurrence_of(X0,tptp0),
    inference(rectify,[],[f49]) ).

fof(f49,negated_conjecture,
    ~ ~ ? [X109] : occurrence_of(X109,tptp0),
    inference(negated_conjecture,[],[f48]) ).

fof(f48,conjecture,
    ~ ? [X109] : occurrence_of(X109,tptp0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f400,plain,
    root(sK6(sK4),sK15(sK6(sK4),sK4)),
    inference(unit_resulting_resolution,[],[f309,f242]) ).

fof(f242,plain,
    ! [X0,X1] :
      ( ~ root_occ(X0,X1)
      | root(X0,sK15(X0,X1)) ),
    inference(cnf_transformation,[],[f177]) ).

fof(f460,plain,
    ~ sP1(tptp0,sK6(sK4)),
    inference(unit_resulting_resolution,[],[f453,f230]) ).

fof(f230,plain,
    ! [X0,X1,X4] :
      ( ~ min_precedes(X1,X4,X0)
      | ~ sP1(X0,X1) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f453,plain,
    min_precedes(sK6(sK4),sK7(sK4),tptp0),
    inference(unit_resulting_resolution,[],[f451,f262]) ).

fof(f262,plain,
    ! [X2,X0,X1] :
      ( ~ sP3(X0,X1,X2)
      | min_precedes(X2,X1,X0) ),
    inference(cnf_transformation,[],[f192]) ).

fof(f192,plain,
    ! [X0,X1,X2] :
      ( ( sP3(X0,X1,X2)
        | ( min_precedes(sK19(X0,X1,X2),X1,X0)
          & min_precedes(X2,sK19(X0,X1,X2),X0) )
        | ~ min_precedes(X2,X1,X0) )
      & ( ( ! [X4] :
              ( ~ min_precedes(X4,X1,X0)
              | ~ min_precedes(X2,X4,X0) )
          & min_precedes(X2,X1,X0) )
        | ~ sP3(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f190,f191]) ).

fof(f191,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( min_precedes(X3,X1,X0)
          & min_precedes(X2,X3,X0) )
     => ( min_precedes(sK19(X0,X1,X2),X1,X0)
        & min_precedes(X2,sK19(X0,X1,X2),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f190,plain,
    ! [X0,X1,X2] :
      ( ( sP3(X0,X1,X2)
        | ? [X3] :
            ( min_precedes(X3,X1,X0)
            & min_precedes(X2,X3,X0) )
        | ~ min_precedes(X2,X1,X0) )
      & ( ( ! [X4] :
              ( ~ min_precedes(X4,X1,X0)
              | ~ min_precedes(X2,X4,X0) )
          & min_precedes(X2,X1,X0) )
        | ~ sP3(X0,X1,X2) ) ),
    inference(rectify,[],[f189]) ).

fof(f189,plain,
    ! [X2,X1,X0] :
      ( ( sP3(X2,X1,X0)
        | ? [X3] :
            ( min_precedes(X3,X1,X2)
            & min_precedes(X0,X3,X2) )
        | ~ min_precedes(X0,X1,X2) )
      & ( ( ! [X3] :
              ( ~ min_precedes(X3,X1,X2)
              | ~ min_precedes(X0,X3,X2) )
          & min_precedes(X0,X1,X2) )
        | ~ sP3(X2,X1,X0) ) ),
    inference(flattening,[],[f188]) ).

fof(f188,plain,
    ! [X2,X1,X0] :
      ( ( sP3(X2,X1,X0)
        | ? [X3] :
            ( min_precedes(X3,X1,X2)
            & min_precedes(X0,X3,X2) )
        | ~ min_precedes(X0,X1,X2) )
      & ( ( ! [X3] :
              ( ~ min_precedes(X3,X1,X2)
              | ~ min_precedes(X0,X3,X2) )
          & min_precedes(X0,X1,X2) )
        | ~ sP3(X2,X1,X0) ) ),
    inference(nnf_transformation,[],[f145]) ).

fof(f145,plain,
    ! [X2,X1,X0] :
      ( sP3(X2,X1,X0)
    <=> ( ! [X3] :
            ( ~ min_precedes(X3,X1,X2)
            | ~ min_precedes(X0,X3,X2) )
        & min_precedes(X0,X1,X2) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f451,plain,
    sP3(tptp0,sK7(sK4),sK6(sK4)),
    inference(unit_resulting_resolution,[],[f371,f266]) ).

fof(f266,plain,
    ! [X2,X0,X1] :
      ( ~ next_subocc(X0,X1,X2)
      | sP3(X2,X1,X0) ),
    inference(cnf_transformation,[],[f193]) ).

fof(f193,plain,
    ! [X0,X1,X2] :
      ( ( next_subocc(X0,X1,X2)
        | ~ sP3(X2,X1,X0) )
      & ( sP3(X2,X1,X0)
        | ~ next_subocc(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f146]) ).

fof(f146,plain,
    ! [X0,X1,X2] :
      ( next_subocc(X0,X1,X2)
    <=> sP3(X2,X1,X0) ),
    inference(definition_folding,[],[f124,f145]) ).

fof(f124,plain,
    ! [X0,X1,X2] :
      ( next_subocc(X0,X1,X2)
    <=> ( ! [X3] :
            ( ~ min_precedes(X3,X1,X2)
            | ~ min_precedes(X0,X3,X2) )
        & min_precedes(X0,X1,X2) ) ),
    inference(ennf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1,X2] :
      ( next_subocc(X0,X1,X2)
    <=> ( ~ ? [X3] :
              ( min_precedes(X3,X1,X2)
              & min_precedes(X0,X3,X2) )
        & min_precedes(X0,X1,X2) ) ),
    inference(rectify,[],[f27]) ).

fof(f27,axiom,
    ! [X78,X79,X80] :
      ( next_subocc(X78,X79,X80)
    <=> ( ~ ? [X81] :
              ( min_precedes(X81,X79,X80)
              & min_precedes(X78,X81,X80) )
        & min_precedes(X78,X79,X80) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_26) ).

fof(f371,plain,
    next_subocc(sK6(sK4),sK7(sK4),tptp0),
    inference(unit_resulting_resolution,[],[f285,f212]) ).

fof(f212,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | next_subocc(sK6(X0),sK7(X0),tptp0) ),
    inference(cnf_transformation,[],[f153]) ).

fof(f2087,plain,
    subactivity_occurrence(sK6(sK4),sK18(sK12(tptp0,sK6(sK4)),sK6(sK4),tptp0)),
    inference(unit_resulting_resolution,[],[f2023,f255]) ).

fof(f255,plain,
    ! [X2,X0,X1] :
      ( ~ sP2(X0,X1,X2)
      | subactivity_occurrence(X1,sK18(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f187]) ).

fof(f2120,plain,
    ~ leaf_occ(sK6(sK4),sK18(sK12(tptp0,sK6(sK4)),sK6(sK4),tptp0)),
    inference(unit_resulting_resolution,[],[f456,f2088,f278]) ).

fof(f278,plain,
    ! [X2,X0,X1] :
      ( ~ sP21(X2,X1)
      | ~ occurrence_of(X0,X2)
      | ~ leaf_occ(X1,X0) ),
    inference(general_splitting,[],[f260,f277_D]) ).

fof(f277,plain,
    ! [X2,X3,X1] :
      ( ~ min_precedes(X1,X3,X2)
      | sP21(X2,X1) ),
    inference(cnf_transformation,[],[f277_D]) ).

fof(f277_D,plain,
    ! [X1,X2] :
      ( ! [X3] : ~ min_precedes(X1,X3,X2)
    <=> ~ sP21(X2,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP21])]) ).

fof(f260,plain,
    ! [X2,X3,X0,X1] :
      ( ~ min_precedes(X1,X3,X2)
      | ~ leaf_occ(X1,X0)
      | ~ occurrence_of(X0,X2) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ! [X0,X1,X2] :
      ( ! [X3] : ~ min_precedes(X1,X3,X2)
      | ~ leaf_occ(X1,X0)
      | ~ occurrence_of(X0,X2) ),
    inference(flattening,[],[f120]) ).

fof(f120,plain,
    ! [X0,X1,X2] :
      ( ! [X3] : ~ min_precedes(X1,X3,X2)
      | ~ leaf_occ(X1,X0)
      | ~ occurrence_of(X0,X2) ),
    inference(ennf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1,X2] :
      ( ( leaf_occ(X1,X0)
        & occurrence_of(X0,X2) )
     => ~ ? [X3] : min_precedes(X1,X3,X2) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X31,X32,X33] :
      ( ( leaf_occ(X32,X31)
        & occurrence_of(X31,X33) )
     => ~ ? [X34] : min_precedes(X32,X34,X33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_09) ).

fof(f456,plain,
    sP21(tptp0,sK6(sK4)),
    inference(unit_resulting_resolution,[],[f453,f277]) ).

fof(f348,plain,
    arboreal(sK6(sK4)),
    inference(unit_resulting_resolution,[],[f199,f297,f221]) ).

fof(f221,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X0,X1)
      | ~ atomic(X1)
      | arboreal(X0) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f156,plain,
    ! [X0,X1] :
      ( ( ( arboreal(X0)
          | ~ atomic(X1) )
        & ( atomic(X1)
          | ~ arboreal(X0) ) )
      | ~ occurrence_of(X0,X1) ),
    inference(nnf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( ( arboreal(X0)
      <=> atomic(X1) )
      | ~ occurrence_of(X0,X1) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( occurrence_of(X0,X1)
     => ( arboreal(X0)
      <=> atomic(X1) ) ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X51,X52] :
      ( occurrence_of(X51,X52)
     => ( arboreal(X51)
      <=> atomic(X52) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_16) ).

fof(f297,plain,
    occurrence_of(sK6(sK4),tptp4),
    inference(unit_resulting_resolution,[],[f285,f208]) ).

fof(f208,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | occurrence_of(sK6(X0),tptp4) ),
    inference(cnf_transformation,[],[f153]) ).

fof(f199,plain,
    atomic(tptp4),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,axiom,
    atomic(tptp4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).

fof(f202,plain,
    tptp3 != tptp1,
    inference(cnf_transformation,[],[f43]) ).

fof(f43,axiom,
    tptp3 != tptp1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_42) ).

fof(f10767,plain,
    occurrence_of(sK10(sK6(sK4)),tptp3),
    inference(forward_demodulation,[],[f10766,f9609]) ).

fof(f9609,plain,
    sK10(sK6(sK4)) = sK7(sK11(sK10(sK6(sK4)),tptp0)),
    inference(unit_resulting_resolution,[],[f8392,f8643,f8714,f8345,f8482,f284]) ).

fof(f284,plain,
    ! [X2,X0,X1,X4] :
      ( ~ sP24(X0,X2,X1)
      | X2 = X4
      | ~ subactivity_occurrence(X2,X1)
      | ~ leaf_occ(X4,X1)
      | ~ occurrence_of(X1,X0)
      | min_precedes(X2,X4,X0) ),
    inference(general_splitting,[],[f274,f283_D]) ).

fof(f283,plain,
    ! [X2,X3,X0,X1] :
      ( ~ min_precedes(X3,X2,X0)
      | ~ root_occ(X3,X1)
      | sP24(X0,X2,X1) ),
    inference(cnf_transformation,[],[f283_D]) ).

fof(f283_D,plain,
    ! [X1,X2,X0] :
      ( ! [X3] :
          ( ~ min_precedes(X3,X2,X0)
          | ~ root_occ(X3,X1) )
    <=> ~ sP24(X0,X2,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP24])]) ).

fof(f274,plain,
    ! [X2,X3,X0,X1,X4] :
      ( min_precedes(X2,X4,X0)
      | X2 = X4
      | ~ min_precedes(X3,X2,X0)
      | ~ subactivity_occurrence(X2,X1)
      | ~ leaf_occ(X4,X1)
      | ~ root_occ(X3,X1)
      | ~ occurrence_of(X1,X0) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f138,plain,
    ! [X0,X1,X2,X3,X4] :
      ( min_precedes(X2,X4,X0)
      | X2 = X4
      | ~ min_precedes(X3,X2,X0)
      | ~ subactivity_occurrence(X2,X1)
      | ~ leaf_occ(X4,X1)
      | ~ root_occ(X3,X1)
      | ~ occurrence_of(X1,X0) ),
    inference(flattening,[],[f137]) ).

fof(f137,plain,
    ! [X0,X1,X2,X3,X4] :
      ( min_precedes(X2,X4,X0)
      | X2 = X4
      | ~ min_precedes(X3,X2,X0)
      | ~ subactivity_occurrence(X2,X1)
      | ~ leaf_occ(X4,X1)
      | ~ root_occ(X3,X1)
      | ~ occurrence_of(X1,X0) ),
    inference(ennf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( X2 != X4
        & min_precedes(X3,X2,X0)
        & subactivity_occurrence(X2,X1)
        & leaf_occ(X4,X1)
        & root_occ(X3,X1)
        & occurrence_of(X1,X0) )
     => min_precedes(X2,X4,X0) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X3,X4,X5,X6,X7] :
      ( ( X5 != X7
        & min_precedes(X6,X5,X3)
        & subactivity_occurrence(X5,X4)
        & leaf_occ(X7,X4)
        & root_occ(X6,X4)
        & occurrence_of(X4,X3) )
     => min_precedes(X5,X7,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).

fof(f8482,plain,
    leaf_occ(sK7(sK11(sK10(sK6(sK4)),tptp0)),sK11(sK10(sK6(sK4)),tptp0)),
    inference(unit_resulting_resolution,[],[f8429,f211]) ).

fof(f211,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | leaf_occ(sK7(X0),X0) ),
    inference(cnf_transformation,[],[f153]) ).

fof(f8429,plain,
    sP0(sK11(sK10(sK6(sK4)),tptp0)),
    inference(unit_resulting_resolution,[],[f8392,f213]) ).

fof(f8345,plain,
    ! [X0] : ~ min_precedes(sK10(sK6(sK4)),X0,tptp0),
    inference(unit_resulting_resolution,[],[f8336,f277]) ).

fof(f8336,plain,
    ~ sP21(tptp0,sK10(sK6(sK4))),
    inference(unit_resulting_resolution,[],[f7709,f8310,f278]) ).

fof(f8310,plain,
    leaf_occ(sK10(sK6(sK4)),sK18(sK10(sK6(sK4)),sK6(sK4),tptp0)),
    inference(subsumption_resolution,[],[f8309,f7709]) ).

fof(f8309,plain,
    ( leaf_occ(sK10(sK6(sK4)),sK18(sK10(sK6(sK4)),sK6(sK4),tptp0))
    | ~ occurrence_of(sK18(sK10(sK6(sK4)),sK6(sK4),tptp0),tptp0) ),
    inference(subsumption_resolution,[],[f8308,f7827]) ).

fof(f7827,plain,
    ~ root_occ(sK10(sK6(sK4)),sK18(sK10(sK6(sK4)),sK6(sK4),tptp0)),
    inference(unit_resulting_resolution,[],[f7613,f7709,f276]) ).

fof(f276,plain,
    ! [X2,X0,X1] :
      ( ~ sP20(X2,X1)
      | ~ occurrence_of(X0,X2)
      | ~ root_occ(X1,X0) ),
    inference(general_splitting,[],[f259,f275_D]) ).

fof(f275,plain,
    ! [X2,X3,X1] :
      ( ~ min_precedes(X3,X1,X2)
      | sP20(X2,X1) ),
    inference(cnf_transformation,[],[f275_D]) ).

fof(f275_D,plain,
    ! [X1,X2] :
      ( ! [X3] : ~ min_precedes(X3,X1,X2)
    <=> ~ sP20(X2,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP20])]) ).

fof(f259,plain,
    ! [X2,X3,X0,X1] :
      ( ~ min_precedes(X3,X1,X2)
      | ~ root_occ(X1,X0)
      | ~ occurrence_of(X0,X2) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,plain,
    ! [X0,X1,X2] :
      ( ! [X3] : ~ min_precedes(X3,X1,X2)
      | ~ root_occ(X1,X0)
      | ~ occurrence_of(X0,X2) ),
    inference(flattening,[],[f118]) ).

fof(f118,plain,
    ! [X0,X1,X2] :
      ( ! [X3] : ~ min_precedes(X3,X1,X2)
      | ~ root_occ(X1,X0)
      | ~ occurrence_of(X0,X2) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0,X1,X2] :
      ( ( root_occ(X1,X0)
        & occurrence_of(X0,X2) )
     => ~ ? [X3] : min_precedes(X3,X1,X2) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X35,X36,X37] :
      ( ( root_occ(X36,X35)
        & occurrence_of(X35,X37) )
     => ~ ? [X38] : min_precedes(X38,X36,X37) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).

fof(f7613,plain,
    sP20(tptp0,sK10(sK6(sK4))),
    inference(unit_resulting_resolution,[],[f7593,f275]) ).

fof(f7593,plain,
    min_precedes(sK6(sK4),sK10(sK6(sK4)),tptp0),
    inference(unit_resulting_resolution,[],[f7584,f262]) ).

fof(f7584,plain,
    sP3(tptp0,sK10(sK6(sK4)),sK6(sK4)),
    inference(unit_resulting_resolution,[],[f7480,f266]) ).

fof(f7480,plain,
    next_subocc(sK6(sK4),sK10(sK6(sK4)),tptp0),
    inference(forward_demodulation,[],[f7421,f3549]) ).

fof(f3549,plain,
    sK6(sK4) = sK17(sK7(sK4),tptp0),
    inference(forward_demodulation,[],[f3539,f2311]) ).

fof(f2311,plain,
    sK6(sK4) = sK9(tptp0,sK4),
    inference(unit_resulting_resolution,[],[f289,f309,f2260,f282]) ).

fof(f282,plain,
    ! [X2,X0,X1] :
      ( ~ root_occ(X1,X2)
      | X0 = X1
      | ~ root_occ(X0,X2)
      | ~ sP23(X2) ),
    inference(general_splitting,[],[f270,f281_D]) ).

fof(f281,plain,
    ! [X2,X3] :
      ( ~ occurrence_of(X2,X3)
      | sP23(X2) ),
    inference(cnf_transformation,[],[f281_D]) ).

fof(f281_D,plain,
    ! [X2] :
      ( ! [X3] : ~ occurrence_of(X2,X3)
    <=> ~ sP23(X2) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP23])]) ).

fof(f270,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X1
      | ~ root_occ(X1,X2)
      | ~ root_occ(X0,X2)
      | ~ occurrence_of(X2,X3) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ! [X0,X1,X2,X3] :
      ( X0 = X1
      | ~ root_occ(X1,X2)
      | ~ root_occ(X0,X2)
      | ~ occurrence_of(X2,X3) ),
    inference(flattening,[],[f129]) ).

fof(f129,plain,
    ! [X0,X1,X2,X3] :
      ( X0 = X1
      | ~ root_occ(X1,X2)
      | ~ root_occ(X0,X2)
      | ~ occurrence_of(X2,X3) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0,X1,X2,X3] :
      ( ( root_occ(X1,X2)
        & root_occ(X0,X2)
        & occurrence_of(X2,X3) )
     => X0 = X1 ),
    inference(rectify,[],[f30]) ).

fof(f30,axiom,
    ! [X90,X91,X92,X93] :
      ( ( root_occ(X91,X92)
        & root_occ(X90,X92)
        & occurrence_of(X92,X93) )
     => X90 = X91 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_29) ).

fof(f2260,plain,
    root_occ(sK9(tptp0,sK4),sK4),
    inference(unit_resulting_resolution,[],[f194,f785,f886,f243]) ).

fof(f243,plain,
    ! [X2,X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | ~ root(X0,X2)
      | root_occ(X0,X1)
      | ~ occurrence_of(X1,X2) ),
    inference(cnf_transformation,[],[f177]) ).

fof(f886,plain,
    subactivity_occurrence(sK9(tptp0,sK4),sK4),
    inference(forward_demodulation,[],[f885,f517]) ).

fof(f517,plain,
    tptp0 = sK5(sK4),
    inference(unit_resulting_resolution,[],[f194,f291,f261]) ).

fof(f291,plain,
    occurrence_of(sK4,sK5(sK4)),
    inference(unit_resulting_resolution,[],[f287,f207]) ).

fof(f207,plain,
    ! [X0] :
      ( ~ activity_occurrence(X0)
      | occurrence_of(X0,sK5(X0)) ),
    inference(cnf_transformation,[],[f150]) ).

fof(f150,plain,
    ! [X0] :
      ( occurrence_of(X0,sK5(X0))
      | ~ activity_occurrence(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f93,f149]) ).

fof(f149,plain,
    ! [X0] :
      ( ? [X1] : occurrence_of(X0,X1)
     => occurrence_of(X0,sK5(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f93,plain,
    ! [X0] :
      ( ? [X1] : occurrence_of(X0,X1)
      | ~ activity_occurrence(X0) ),
    inference(ennf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X0] :
      ( activity_occurrence(X0)
     => ? [X1] : occurrence_of(X0,X1) ),
    inference(pure_predicate_removal,[],[f53]) ).

fof(f53,plain,
    ! [X0] :
      ( activity_occurrence(X0)
     => ? [X1] :
          ( occurrence_of(X0,X1)
          & activity(X1) ) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X41] :
      ( activity_occurrence(X41)
     => ? [X42] :
          ( occurrence_of(X41,X42)
          & activity(X42) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12) ).

fof(f287,plain,
    activity_occurrence(sK4),
    inference(unit_resulting_resolution,[],[f194,f219]) ).

fof(f219,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X1,X0)
      | activity_occurrence(X1) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( activity_occurrence(X1)
      | ~ occurrence_of(X1,X0) ),
    inference(ennf_transformation,[],[f89]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( occurrence_of(X1,X0)
     => activity_occurrence(X1) ),
    inference(pure_predicate_removal,[],[f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( occurrence_of(X1,X0)
     => ( activity_occurrence(X1)
        & activity(X0) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X12,X13] :
      ( occurrence_of(X13,X12)
     => ( activity_occurrence(X13)
        & activity(X12) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).

fof(f885,plain,
    subactivity_occurrence(sK9(sK5(sK4),sK4),sK4),
    inference(forward_demodulation,[],[f884,f522]) ).

fof(f522,plain,
    sK5(sK4) = sK15(sK6(sK4),sK4),
    inference(unit_resulting_resolution,[],[f291,f386,f261]) ).

fof(f884,plain,
    subactivity_occurrence(sK9(sK15(sK6(sK4),sK4),sK4),sK4),
    inference(forward_demodulation,[],[f868,f527]) ).

fof(f527,plain,
    sK15(sK6(sK4),sK4) = sK16(sK7(sK4),sK4),
    inference(unit_resulting_resolution,[],[f386,f424,f261]) ).

fof(f424,plain,
    occurrence_of(sK4,sK16(sK7(sK4),sK4)),
    inference(unit_resulting_resolution,[],[f311,f244]) ).

fof(f244,plain,
    ! [X0,X1] :
      ( ~ leaf_occ(X0,X1)
      | occurrence_of(X1,sK16(X0,X1)) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f181,plain,
    ! [X0,X1] :
      ( ( leaf_occ(X0,X1)
        | ! [X2] :
            ( ~ leaf(X0,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ occurrence_of(X1,X2) ) )
      & ( ( leaf(X0,sK16(X0,X1))
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,sK16(X0,X1)) )
        | ~ leaf_occ(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f179,f180]) ).

fof(f180,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( leaf(X0,X3)
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,X3) )
     => ( leaf(X0,sK16(X0,X1))
        & subactivity_occurrence(X0,X1)
        & occurrence_of(X1,sK16(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f179,plain,
    ! [X0,X1] :
      ( ( leaf_occ(X0,X1)
        | ! [X2] :
            ( ~ leaf(X0,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ occurrence_of(X1,X2) ) )
      & ( ? [X3] :
            ( leaf(X0,X3)
            & subactivity_occurrence(X0,X1)
            & occurrence_of(X1,X3) )
        | ~ leaf_occ(X0,X1) ) ),
    inference(rectify,[],[f178]) ).

fof(f178,plain,
    ! [X0,X1] :
      ( ( leaf_occ(X0,X1)
        | ! [X2] :
            ( ~ leaf(X0,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ occurrence_of(X1,X2) ) )
      & ( ? [X2] :
            ( leaf(X0,X2)
            & subactivity_occurrence(X0,X1)
            & occurrence_of(X1,X2) )
        | ~ leaf_occ(X0,X1) ) ),
    inference(nnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
    <=> ? [X2] :
          ( leaf(X0,X2)
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,X2) ) ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X55,X56] :
      ( leaf_occ(X55,X56)
    <=> ? [X57] :
          ( leaf(X55,X57)
          & subactivity_occurrence(X55,X56)
          & occurrence_of(X56,X57) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_18) ).

fof(f311,plain,
    leaf_occ(sK7(sK4),sK4),
    inference(unit_resulting_resolution,[],[f285,f211]) ).

fof(f868,plain,
    subactivity_occurrence(sK9(sK16(sK7(sK4),sK4),sK4),sK4),
    inference(unit_resulting_resolution,[],[f424,f426,f223]) ).

fof(f223,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X1,X0)
      | atomic(X0)
      | subactivity_occurrence(sK9(X0,X1),X1) ),
    inference(cnf_transformation,[],[f158]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( ( subactivity_occurrence(sK9(X0,X1),X1)
        & root(sK9(X0,X1),X0) )
      | atomic(X0)
      | ~ occurrence_of(X1,X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f102,f157]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( subactivity_occurrence(X2,X1)
          & root(X2,X0) )
     => ( subactivity_occurrence(sK9(X0,X1),X1)
        & root(sK9(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( subactivity_occurrence(X2,X1)
          & root(X2,X0) )
      | atomic(X0)
      | ~ occurrence_of(X1,X0) ),
    inference(flattening,[],[f101]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( subactivity_occurrence(X2,X1)
          & root(X2,X0) )
      | atomic(X0)
      | ~ occurrence_of(X1,X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ( ~ atomic(X0)
        & occurrence_of(X1,X0) )
     => ? [X2] :
          ( subactivity_occurrence(X2,X1)
          & root(X2,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).

fof(f426,plain,
    ~ atomic(sK16(sK7(sK4),sK4)),
    inference(unit_resulting_resolution,[],[f331,f424,f221]) ).

fof(f331,plain,
    ~ arboreal(sK4),
    inference(unit_resulting_resolution,[],[f195,f194,f220]) ).

fof(f220,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X0,X1)
      | ~ arboreal(X0)
      | atomic(X1) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f195,plain,
    ~ atomic(tptp0),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,axiom,
    ~ atomic(tptp0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).

fof(f785,plain,
    root(sK9(tptp0,sK4),tptp0),
    inference(forward_demodulation,[],[f784,f517]) ).

fof(f784,plain,
    root(sK9(sK5(sK4),sK4),sK5(sK4)),
    inference(forward_demodulation,[],[f783,f522]) ).

fof(f783,plain,
    root(sK9(sK15(sK6(sK4),sK4),sK4),sK15(sK6(sK4),sK4)),
    inference(forward_demodulation,[],[f770,f527]) ).

fof(f770,plain,
    root(sK9(sK16(sK7(sK4),sK4),sK4),sK16(sK7(sK4),sK4)),
    inference(unit_resulting_resolution,[],[f424,f426,f222]) ).

fof(f222,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X1,X0)
      | atomic(X0)
      | root(sK9(X0,X1),X0) ),
    inference(cnf_transformation,[],[f158]) ).

fof(f289,plain,
    sP23(sK4),
    inference(unit_resulting_resolution,[],[f194,f281]) ).

fof(f3539,plain,
    sK17(sK7(sK4),tptp0) = sK9(tptp0,sK4),
    inference(unit_resulting_resolution,[],[f289,f2260,f3499,f282]) ).

fof(f3499,plain,
    root_occ(sK17(sK7(sK4),tptp0),sK4),
    inference(unit_resulting_resolution,[],[f194,f493,f3473,f243]) ).

fof(f3473,plain,
    subactivity_occurrence(sK17(sK7(sK4),tptp0),sK4),
    inference(unit_resulting_resolution,[],[f194,f319,f1131,f272]) ).

fof(f272,plain,
    ! [X2,X3,X0,X1] :
      ( ~ min_precedes(X0,X1,X2)
      | ~ subactivity_occurrence(X1,X3)
      | ~ occurrence_of(X3,X2)
      | subactivity_occurrence(X0,X3) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ! [X0,X1,X2,X3] :
      ( subactivity_occurrence(X0,X3)
      | ~ subactivity_occurrence(X1,X3)
      | ~ occurrence_of(X3,X2)
      | ~ min_precedes(X0,X1,X2) ),
    inference(flattening,[],[f133]) ).

fof(f133,plain,
    ! [X0,X1,X2,X3] :
      ( subactivity_occurrence(X0,X3)
      | ~ subactivity_occurrence(X1,X3)
      | ~ occurrence_of(X3,X2)
      | ~ min_precedes(X0,X1,X2) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0,X1,X2,X3] :
      ( ( subactivity_occurrence(X1,X3)
        & occurrence_of(X3,X2)
        & min_precedes(X0,X1,X2) )
     => subactivity_occurrence(X0,X3) ),
    inference(rectify,[],[f28]) ).

fof(f28,axiom,
    ! [X82,X83,X84,X85] :
      ( ( subactivity_occurrence(X83,X85)
        & occurrence_of(X85,X84)
        & min_precedes(X82,X83,X84) )
     => subactivity_occurrence(X82,X85) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_27) ).

fof(f1131,plain,
    min_precedes(sK17(sK7(sK4),tptp0),sK7(sK4),tptp0),
    inference(unit_resulting_resolution,[],[f453,f253]) ).

fof(f253,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X0,X1,X2)
      | min_precedes(sK17(X1,X2),X1,X2) ),
    inference(cnf_transformation,[],[f183]) ).

fof(f183,plain,
    ! [X0,X1,X2] :
      ( ( min_precedes(sK17(X1,X2),X1,X2)
        & root(sK17(X1,X2),X2) )
      | ~ min_precedes(X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f114,f182]) ).

fof(f182,plain,
    ! [X1,X2] :
      ( ? [X3] :
          ( min_precedes(X3,X1,X2)
          & root(X3,X2) )
     => ( min_precedes(sK17(X1,X2),X1,X2)
        & root(sK17(X1,X2),X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f114,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( min_precedes(X3,X1,X2)
          & root(X3,X2) )
      | ~ min_precedes(X0,X1,X2) ),
    inference(ennf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1,X2] :
      ( min_precedes(X0,X1,X2)
     => ? [X3] :
          ( min_precedes(X3,X1,X2)
          & root(X3,X2) ) ),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ! [X68,X69,X70] :
      ( min_precedes(X68,X69,X70)
     => ? [X71] :
          ( min_precedes(X71,X69,X70)
          & root(X71,X70) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_23) ).

fof(f319,plain,
    subactivity_occurrence(sK7(sK4),sK4),
    inference(unit_resulting_resolution,[],[f311,f245]) ).

fof(f245,plain,
    ! [X0,X1] :
      ( ~ leaf_occ(X0,X1)
      | subactivity_occurrence(X0,X1) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f493,plain,
    root(sK17(sK7(sK4),tptp0),tptp0),
    inference(unit_resulting_resolution,[],[f453,f252]) ).

fof(f252,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X0,X1,X2)
      | root(sK17(X1,X2),X2) ),
    inference(cnf_transformation,[],[f183]) ).

fof(f7421,plain,
    next_subocc(sK17(sK7(sK4),tptp0),sK10(sK17(sK7(sK4),tptp0)),tptp0),
    inference(unit_resulting_resolution,[],[f500,f3147,f2707,f2708,f226]) ).

fof(f226,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | next_subocc(X0,sK10(X0),tptp0)
      | ~ occurrence_of(X1,tptp0) ),
    inference(cnf_transformation,[],[f160]) ).

fof(f2708,plain,
    occurrence_of(sK18(sK12(tptp0,sK17(sK7(sK4),tptp0)),sK17(sK7(sK4),tptp0),tptp0),tptp0),
    inference(unit_resulting_resolution,[],[f2476,f254]) ).

fof(f2476,plain,
    sP2(sK12(tptp0,sK17(sK7(sK4),tptp0)),sK17(sK7(sK4),tptp0),tptp0),
    inference(unit_resulting_resolution,[],[f2007,f257]) ).

fof(f2007,plain,
    min_precedes(sK17(sK7(sK4),tptp0),sK12(tptp0,sK17(sK7(sK4),tptp0)),tptp0),
    inference(unit_resulting_resolution,[],[f1141,f493,f231]) ).

fof(f1141,plain,
    ~ sP1(tptp0,sK17(sK7(sK4),tptp0)),
    inference(unit_resulting_resolution,[],[f1131,f230]) ).

fof(f2707,plain,
    subactivity_occurrence(sK17(sK7(sK4),tptp0),sK18(sK12(tptp0,sK17(sK7(sK4),tptp0)),sK17(sK7(sK4),tptp0),tptp0)),
    inference(unit_resulting_resolution,[],[f2476,f255]) ).

fof(f3147,plain,
    ~ leaf_occ(sK17(sK7(sK4),tptp0),sK18(sK12(tptp0,sK17(sK7(sK4),tptp0)),sK17(sK7(sK4),tptp0),tptp0)),
    inference(unit_resulting_resolution,[],[f1148,f2708,f278]) ).

fof(f1148,plain,
    sP21(tptp0,sK17(sK7(sK4),tptp0)),
    inference(unit_resulting_resolution,[],[f1131,f277]) ).

fof(f500,plain,
    arboreal(sK17(sK7(sK4),tptp0)),
    inference(unit_resulting_resolution,[],[f497,f206]) ).

fof(f206,plain,
    ! [X0] :
      ( ~ legal(X0)
      | arboreal(X0) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0] :
      ( arboreal(X0)
      | ~ legal(X0) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0] :
      ( legal(X0)
     => arboreal(X0) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X43] :
      ( legal(X43)
     => arboreal(X43) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_13) ).

fof(f497,plain,
    legal(sK17(sK7(sK4),tptp0)),
    inference(unit_resulting_resolution,[],[f493,f215]) ).

fof(f215,plain,
    ! [X0,X1] :
      ( ~ root(X0,X1)
      | legal(X0) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( legal(X0)
      | ~ root(X0,X1) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( root(X0,X1)
     => legal(X0) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X53,X54] :
      ( root(X53,X54)
     => legal(X53) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_17) ).

fof(f8308,plain,
    ( leaf_occ(sK10(sK6(sK4)),sK18(sK10(sK6(sK4)),sK6(sK4),tptp0))
    | root_occ(sK10(sK6(sK4)),sK18(sK10(sK6(sK4)),sK6(sK4),tptp0))
    | ~ occurrence_of(sK18(sK10(sK6(sK4)),sK6(sK4),tptp0),tptp0) ),
    inference(subsumption_resolution,[],[f8300,f5074]) ).

fof(f5074,plain,
    arboreal(sK10(sK6(sK4))),
    inference(unit_resulting_resolution,[],[f198,f4964,f221]) ).

fof(f198,plain,
    atomic(tptp1),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    atomic(tptp1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_38) ).

fof(f8300,plain,
    ( leaf_occ(sK10(sK6(sK4)),sK18(sK10(sK6(sK4)),sK6(sK4),tptp0))
    | ~ arboreal(sK10(sK6(sK4)))
    | root_occ(sK10(sK6(sK4)),sK18(sK10(sK6(sK4)),sK6(sK4),tptp0))
    | ~ occurrence_of(sK18(sK10(sK6(sK4)),sK6(sK4),tptp0),tptp0) ),
    inference(resolution,[],[f7707,f224]) ).

fof(f224,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | root_occ(X0,X1)
      | ~ occurrence_of(X1,tptp0) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( root_occ(X0,X1)
      | leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0) ),
    inference(flattening,[],[f103]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( root_occ(X0,X1)
      | leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0) ),
    inference(ennf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ( ~ leaf_occ(X0,X1)
        & arboreal(X0)
        & subactivity_occurrence(X0,X1)
        & occurrence_of(X1,tptp0) )
     => root_occ(X0,X1) ),
    inference(rectify,[],[f46]) ).

fof(f46,axiom,
    ! [X104,X105] :
      ( ( ~ leaf_occ(X104,X105)
        & arboreal(X104)
        & subactivity_occurrence(X104,X105)
        & occurrence_of(X105,tptp0) )
     => root_occ(X104,X105) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_45) ).

fof(f7707,plain,
    subactivity_occurrence(sK10(sK6(sK4)),sK18(sK10(sK6(sK4)),sK6(sK4),tptp0)),
    inference(unit_resulting_resolution,[],[f7606,f256]) ).

fof(f256,plain,
    ! [X2,X0,X1] :
      ( ~ sP2(X0,X1,X2)
      | subactivity_occurrence(X0,sK18(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f187]) ).

fof(f7606,plain,
    sP2(sK10(sK6(sK4)),sK6(sK4),tptp0),
    inference(unit_resulting_resolution,[],[f7593,f257]) ).

fof(f7709,plain,
    occurrence_of(sK18(sK10(sK6(sK4)),sK6(sK4),tptp0),tptp0),
    inference(unit_resulting_resolution,[],[f7606,f254]) ).

fof(f8714,plain,
    sP24(tptp0,sK10(sK6(sK4)),sK11(sK10(sK6(sK4)),tptp0)),
    inference(unit_resulting_resolution,[],[f7593,f8695,f283]) ).

fof(f8695,plain,
    root_occ(sK6(sK4),sK11(sK10(sK6(sK4)),tptp0)),
    inference(unit_resulting_resolution,[],[f582,f8392,f8681,f243]) ).

fof(f8681,plain,
    subactivity_occurrence(sK6(sK4),sK11(sK10(sK6(sK4)),tptp0)),
    inference(unit_resulting_resolution,[],[f7593,f8392,f8643,f272]) ).

fof(f8643,plain,
    subactivity_occurrence(sK10(sK6(sK4)),sK11(sK10(sK6(sK4)),tptp0)),
    inference(unit_resulting_resolution,[],[f8391,f245]) ).

fof(f8391,plain,
    leaf_occ(sK10(sK6(sK4)),sK11(sK10(sK6(sK4)),tptp0)),
    inference(unit_resulting_resolution,[],[f195,f8387,f228]) ).

fof(f228,plain,
    ! [X0,X1] :
      ( ~ leaf(X0,X1)
      | atomic(X1)
      | leaf_occ(X0,sK11(X0,X1)) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( ( leaf_occ(X0,sK11(X0,X1))
        & occurrence_of(sK11(X0,X1),X1) )
      | atomic(X1)
      | ~ leaf(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f108,f161]) ).

fof(f161,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( leaf_occ(X0,X2)
          & occurrence_of(X2,X1) )
     => ( leaf_occ(X0,sK11(X0,X1))
        & occurrence_of(sK11(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( leaf_occ(X0,X2)
          & occurrence_of(X2,X1) )
      | atomic(X1)
      | ~ leaf(X0,X1) ),
    inference(flattening,[],[f107]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( leaf_occ(X0,X2)
          & occurrence_of(X2,X1) )
      | atomic(X1)
      | ~ leaf(X0,X1) ),
    inference(ennf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ( ~ atomic(X1)
        & leaf(X0,X1) )
     => ? [X2] :
          ( leaf_occ(X0,X2)
          & occurrence_of(X2,X1) ) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X25,X26] :
      ( ( ~ atomic(X26)
        & leaf(X25,X26) )
     => ? [X27] :
          ( leaf_occ(X25,X27)
          & occurrence_of(X27,X26) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).

fof(f8387,plain,
    leaf(sK10(sK6(sK4)),tptp0),
    inference(unit_resulting_resolution,[],[f8352,f234]) ).

fof(f234,plain,
    ! [X0,X1] :
      ( ~ sP1(X1,X0)
      | leaf(X0,X1) ),
    inference(cnf_transformation,[],[f169]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( ( leaf(X0,X1)
        | ~ sP1(X1,X0) )
      & ( sP1(X1,X0)
        | ~ leaf(X0,X1) ) ),
    inference(nnf_transformation,[],[f142]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( leaf(X0,X1)
    <=> sP1(X1,X0) ),
    inference(definition_folding,[],[f109,f141]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( leaf(X0,X1)
    <=> ( ! [X2] : ~ min_precedes(X0,X2,X1)
        & ( ? [X3] : min_precedes(X3,X0,X1)
          | root(X0,X1) ) ) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( leaf(X0,X1)
    <=> ( ~ ? [X2] : min_precedes(X0,X2,X1)
        & ( ? [X3] : min_precedes(X3,X0,X1)
          | root(X0,X1) ) ) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X47,X48] :
      ( leaf(X47,X48)
    <=> ( ~ ? [X50] : min_precedes(X47,X50,X48)
        & ( ? [X49] : min_precedes(X49,X47,X48)
          | root(X47,X48) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_15) ).

fof(f8352,plain,
    sP1(tptp0,sK10(sK6(sK4))),
    inference(unit_resulting_resolution,[],[f7593,f8345,f232]) ).

fof(f232,plain,
    ! [X3,X0,X1] :
      ( ~ min_precedes(X3,X1,X0)
      | min_precedes(X1,sK12(X0,X1),X0)
      | sP1(X0,X1) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f8392,plain,
    occurrence_of(sK11(sK10(sK6(sK4)),tptp0),tptp0),
    inference(unit_resulting_resolution,[],[f195,f8387,f227]) ).

fof(f227,plain,
    ! [X0,X1] :
      ( ~ leaf(X0,X1)
      | atomic(X1)
      | occurrence_of(sK11(X0,X1),X1) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f10766,plain,
    occurrence_of(sK7(sK11(sK10(sK6(sK4)),tptp0)),tptp3),
    inference(subsumption_resolution,[],[f10754,f5080]) ).

fof(f5080,plain,
    ~ occurrence_of(sK10(sK6(sK4)),tptp2),
    inference(unit_resulting_resolution,[],[f201,f4964,f261]) ).

fof(f201,plain,
    tptp2 != tptp1,
    inference(cnf_transformation,[],[f44]) ).

fof(f44,axiom,
    tptp2 != tptp1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_43) ).

fof(f10754,plain,
    ( occurrence_of(sK10(sK6(sK4)),tptp2)
    | occurrence_of(sK7(sK11(sK10(sK6(sK4)),tptp0)),tptp3) ),
    inference(superposition,[],[f8485,f9609]) ).

fof(f8485,plain,
    ( occurrence_of(sK7(sK11(sK10(sK6(sK4)),tptp0)),tptp2)
    | occurrence_of(sK7(sK11(sK10(sK6(sK4)),tptp0)),tptp3) ),
    inference(resolution,[],[f8429,f210]) ).

fof(f210,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | occurrence_of(sK7(X0),tptp3)
      | occurrence_of(sK7(X0),tptp2) ),
    inference(cnf_transformation,[],[f153]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : PRO005+4 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32  % Computer : n008.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Fri May  3 20:37:38 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  % (18017)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34  % (18020)WARNING: value z3 for option sas not known
% 0.11/0.35  % (18018)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.35  % (18022)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.11/0.35  % (18019)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.35  % (18020)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.35  % (18021)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.35  % (18023)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.11/0.35  % (18024)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.11/0.35  Detected minimum model sizes of [4]
% 0.11/0.35  Detected maximum model sizes of [max]
% 0.11/0.35  Detected minimum model sizes of [4]
% 0.11/0.35  Detected maximum model sizes of [max]
% 0.11/0.35  TRYING [4]
% 0.11/0.35  TRYING [4]
% 0.11/0.36  TRYING [5]
% 0.11/0.36  TRYING [5]
% 0.11/0.40  TRYING [6]
% 0.11/0.40  TRYING [6]
% 0.17/0.47  TRYING [7]
% 0.17/0.48  TRYING [7]
% 2.09/0.63  TRYING [8]
% 2.20/0.64  % (18024)First to succeed.
% 2.20/0.64  % (18024)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18017"
% 2.20/0.65  % (18024)Refutation found. Thanks to Tanya!
% 2.20/0.65  % SZS status Theorem for theBenchmark
% 2.20/0.65  % SZS output start Proof for theBenchmark
% See solution above
% 2.20/0.65  % (18024)------------------------------
% 2.20/0.65  % (18024)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.20/0.65  % (18024)Termination reason: Refutation
% 2.20/0.65  
% 2.20/0.65  % (18024)Memory used [KB]: 3413
% 2.20/0.65  % (18024)Time elapsed: 0.300 s
% 2.20/0.65  % (18024)Instructions burned: 594 (million)
% 2.20/0.65  % (18017)Success in time 0.317 s
%------------------------------------------------------------------------------