TSTP Solution File: PRO005+2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : PRO005+2 : 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 : n005.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 4.53s 0.98s
% Output   : Refutation 4.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   35
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  185 (  60 unt;   0 def)
%            Number of atoms       :  570 (  17 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  593 ( 208   ~; 192   |; 146   &)
%                                         (  18 <=>;  29  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   19 (  17 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   6 con; 0-3 aty)
%            Number of variables   :  372 ( 309   !;  63   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f27889,plain,
    $false,
    inference(subsumption_resolution,[],[f27888,f5854]) ).

fof(f5854,plain,
    ~ occurrence_of(sK10(sK7(sK5)),tptp3),
    inference(unit_resulting_resolution,[],[f203,f5810,f273]) ).

fof(f273,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,[],[f81]) ).

fof(f81,plain,
    ! [X0,X1,X2] :
      ( ( occurrence_of(X0,X2)
        & occurrence_of(X0,X1) )
     => X1 = X2 ),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ! [X64,X65,X66] :
      ( ( occurrence_of(X64,X66)
        & occurrence_of(X64,X65) )
     => X65 = X66 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).

fof(f5810,plain,
    occurrence_of(sK10(sK7(sK5)),tptp1),
    inference(unit_resulting_resolution,[],[f381,f3036,f2998,f2999,f228]) ).

fof(f228,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,[],[f154]) ).

fof(f154,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])],[f100,f153]) ).

fof(f153,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(f100,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,[],[f99]) ).

fof(f99,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,[],[f63]) ).

fof(f63,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,
    ! [X100,X101] :
      ( ( ~ leaf_occ(X100,X101)
        & arboreal(X100)
        & subactivity_occurrence(X100,X101)
        & occurrence_of(X101,tptp0) )
     => ? [X102] :
          ( next_subocc(X100,X102,tptp0)
          & occurrence_of(X102,tptp1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_46) ).

fof(f2999,plain,
    occurrence_of(sK19(sK14(tptp0,sK7(sK5)),sK7(sK5),tptp0),tptp0),
    inference(unit_resulting_resolution,[],[f2956,f261]) ).

fof(f261,plain,
    ! [X2,X0,X1] :
      ( ~ sP2(X0,X1,X2)
      | occurrence_of(sK19(X0,X1,X2),X2) ),
    inference(cnf_transformation,[],[f183]) ).

fof(f183,plain,
    ! [X0,X1,X2] :
      ( ( subactivity_occurrence(X0,sK19(X0,X1,X2))
        & subactivity_occurrence(X1,sK19(X0,X1,X2))
        & occurrence_of(sK19(X0,X1,X2),X2) )
      | ~ sP2(X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f181,f182]) ).

fof(f182,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( subactivity_occurrence(X0,X3)
          & subactivity_occurrence(X1,X3)
          & occurrence_of(X3,X2) )
     => ( subactivity_occurrence(X0,sK19(X0,X1,X2))
        & subactivity_occurrence(X1,sK19(X0,X1,X2))
        & occurrence_of(sK19(X0,X1,X2),X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f181,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( subactivity_occurrence(X0,X3)
          & subactivity_occurrence(X1,X3)
          & occurrence_of(X3,X2) )
      | ~ sP2(X0,X1,X2) ),
    inference(rectify,[],[f180]) ).

fof(f180,plain,
    ! [X2,X1,X0] :
      ( ? [X3] :
          ( subactivity_occurrence(X2,X3)
          & subactivity_occurrence(X1,X3)
          & occurrence_of(X3,X0) )
      | ~ sP2(X2,X1,X0) ),
    inference(nnf_transformation,[],[f137]) ).

fof(f137,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(f2956,plain,
    sP2(sK14(tptp0,sK7(sK5)),sK7(sK5),tptp0),
    inference(unit_resulting_resolution,[],[f2927,f264]) ).

fof(f264,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X1,X2,X0)
      | sP2(X2,X1,X0) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f138,plain,
    ! [X0,X1,X2] :
      ( sP2(X2,X1,X0)
      | ~ min_precedes(X1,X2,X0) ),
    inference(definition_folding,[],[f114,f137]) ).

fof(f114,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,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1,X2] :
      ( min_precedes(X1,X2,X0)
     => ? [X3] :
          ( subactivity_occurrence(X2,X3)
          & subactivity_occurrence(X1,X3)
          & occurrence_of(X3,X0) ) ),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X70,X71,X72] :
      ( min_precedes(X71,X72,X70)
     => ? [X73] :
          ( subactivity_occurrence(X72,X73)
          & subactivity_occurrence(X71,X73)
          & occurrence_of(X73,X70) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_24) ).

fof(f2927,plain,
    min_precedes(sK7(sK5),sK14(tptp0,sK7(sK5)),tptp0),
    inference(unit_resulting_resolution,[],[f489,f589,f239]) ).

fof(f239,plain,
    ! [X0,X1] :
      ( ~ root(X1,X0)
      | min_precedes(X1,sK14(X0,X1),X0)
      | sP1(X0,X1) ),
    inference(cnf_transformation,[],[f166]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( ( sP1(X0,X1)
        | min_precedes(X1,sK14(X0,X1),X0)
        | ( ! [X3] : ~ min_precedes(X3,X1,X0)
          & ~ root(X1,X0) ) )
      & ( ( ! [X4] : ~ min_precedes(X1,X4,X0)
          & ( min_precedes(sK15(X0,X1),X1,X0)
            | root(X1,X0) ) )
        | ~ sP1(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f163,f165,f164]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( ? [X2] : min_precedes(X1,X2,X0)
     => min_precedes(X1,sK14(X0,X1),X0) ),
    introduced(choice_axiom,[]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( ? [X5] : min_precedes(X5,X1,X0)
     => min_precedes(sK15(X0,X1),X1,X0) ),
    introduced(choice_axiom,[]) ).

fof(f163,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,[],[f162]) ).

fof(f162,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,[],[f161]) ).

fof(f161,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,[],[f135]) ).

fof(f135,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(f589,plain,
    root(sK7(sK5),tptp0),
    inference(superposition,[],[f437,f534]) ).

fof(f534,plain,
    tptp0 = sK16(sK7(sK5),sK5),
    inference(unit_resulting_resolution,[],[f194,f419,f273]) ).

fof(f419,plain,
    occurrence_of(sK5,sK16(sK7(sK5),sK5)),
    inference(unit_resulting_resolution,[],[f336,f245]) ).

fof(f245,plain,
    ! [X0,X1] :
      ( ~ root_occ(X0,X1)
      | occurrence_of(X1,sK16(X0,X1)) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f171,plain,
    ! [X0,X1] :
      ( ( root_occ(X0,X1)
        | ! [X2] :
            ( ~ root(X0,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ occurrence_of(X1,X2) ) )
      & ( ( root(X0,sK16(X0,X1))
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,sK16(X0,X1)) )
        | ~ root_occ(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f169,f170]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( root(X0,X3)
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,X3) )
     => ( root(X0,sK16(X0,X1))
        & subactivity_occurrence(X0,X1)
        & occurrence_of(X1,sK16(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f169,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,[],[f168]) ).

fof(f168,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,[],[f70]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( root_occ(X0,X1)
    <=> ? [X2] :
          ( root(X0,X2)
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,X2) ) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X32,X33] :
      ( root_occ(X32,X33)
    <=> ? [X34] :
          ( root(X32,X34)
          & subactivity_occurrence(X32,X33)
          & occurrence_of(X33,X34) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).

fof(f336,plain,
    root_occ(sK7(sK5),sK5),
    inference(unit_resulting_resolution,[],[f294,f212]) ).

fof(f212,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | root_occ(sK7(X0),X0) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f149,plain,
    ! [X0] :
      ( ( next_subocc(sK7(X0),sK8(X0),tptp0)
        & leaf_occ(sK8(X0),X0)
        & ( occurrence_of(sK8(X0),tptp2)
          | occurrence_of(sK8(X0),tptp3) )
        & root_occ(sK7(X0),X0)
        & occurrence_of(sK7(X0),tptp4) )
      | ~ sP0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f147,f148]) ).

fof(f148,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(sK7(X0),sK8(X0),tptp0)
        & leaf_occ(sK8(X0),X0)
        & ( occurrence_of(sK8(X0),tptp2)
          | occurrence_of(sK8(X0),tptp3) )
        & root_occ(sK7(X0),X0)
        & occurrence_of(sK7(X0),tptp4) ) ),
    introduced(choice_axiom,[]) ).

fof(f147,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,[],[f133]) ).

fof(f133,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(f294,plain,
    sP0(sK5),
    inference(unit_resulting_resolution,[],[f194,f216]) ).

fof(f216,plain,
    ! [X0] :
      ( ~ occurrence_of(X0,tptp0)
      | sP0(X0) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ! [X0] :
      ( sP0(X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(definition_folding,[],[f90,f133]) ).

fof(f90,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,[],[f55]) ).

fof(f55,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,
    ! [X95] :
      ( occurrence_of(X95,tptp0)
     => ? [X96,X97] :
          ( next_subocc(X96,X97,tptp0)
          & leaf_occ(X97,X95)
          & ( occurrence_of(X97,tptp2)
            | occurrence_of(X97,tptp3) )
          & root_occ(X96,X95)
          & occurrence_of(X96,tptp4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).

fof(f194,plain,
    occurrence_of(sK5,tptp0),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    occurrence_of(sK5,tptp0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f51,f143]) ).

fof(f143,plain,
    ( ? [X0] : occurrence_of(X0,tptp0)
   => occurrence_of(sK5,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,
    ~ ~ ? [X103] : occurrence_of(X103,tptp0),
    inference(negated_conjecture,[],[f48]) ).

fof(f48,conjecture,
    ~ ? [X103] : occurrence_of(X103,tptp0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f437,plain,
    root(sK7(sK5),sK16(sK7(sK5),sK5)),
    inference(unit_resulting_resolution,[],[f336,f247]) ).

fof(f247,plain,
    ! [X0,X1] :
      ( ~ root_occ(X0,X1)
      | root(X0,sK16(X0,X1)) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f489,plain,
    ~ sP1(tptp0,sK7(sK5)),
    inference(unit_resulting_resolution,[],[f486,f238]) ).

fof(f238,plain,
    ! [X0,X1,X4] :
      ( ~ min_precedes(X1,X4,X0)
      | ~ sP1(X0,X1) ),
    inference(cnf_transformation,[],[f166]) ).

fof(f486,plain,
    min_precedes(sK7(sK5),sK8(sK5),tptp0),
    inference(unit_resulting_resolution,[],[f480,f274]) ).

fof(f274,plain,
    ! [X2,X0,X1] :
      ( ~ sP4(X0,X1,X2)
      | min_precedes(X2,X1,X0) ),
    inference(cnf_transformation,[],[f192]) ).

fof(f192,plain,
    ! [X0,X1,X2] :
      ( ( sP4(X0,X1,X2)
        | ( min_precedes(sK22(X0,X1,X2),X1,X0)
          & min_precedes(X2,sK22(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) )
        | ~ sP4(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f190,f191]) ).

fof(f191,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( min_precedes(X3,X1,X0)
          & min_precedes(X2,X3,X0) )
     => ( min_precedes(sK22(X0,X1,X2),X1,X0)
        & min_precedes(X2,sK22(X0,X1,X2),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f190,plain,
    ! [X0,X1,X2] :
      ( ( sP4(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) )
        | ~ sP4(X0,X1,X2) ) ),
    inference(rectify,[],[f189]) ).

fof(f189,plain,
    ! [X2,X1,X0] :
      ( ( sP4(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) )
        | ~ sP4(X2,X1,X0) ) ),
    inference(flattening,[],[f188]) ).

fof(f188,plain,
    ! [X2,X1,X0] :
      ( ( sP4(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) )
        | ~ sP4(X2,X1,X0) ) ),
    inference(nnf_transformation,[],[f141]) ).

fof(f141,plain,
    ! [X2,X1,X0] :
      ( sP4(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,[sP4])]) ).

fof(f480,plain,
    sP4(tptp0,sK8(sK5),sK7(sK5)),
    inference(unit_resulting_resolution,[],[f404,f278]) ).

fof(f278,plain,
    ! [X2,X0,X1] :
      ( ~ next_subocc(X0,X1,X2)
      | sP4(X2,X1,X0) ),
    inference(cnf_transformation,[],[f193]) ).

fof(f193,plain,
    ! [X0,X1,X2] :
      ( ( next_subocc(X0,X1,X2)
        | ~ sP4(X2,X1,X0) )
      & ( sP4(X2,X1,X0)
        | ~ next_subocc(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f142]) ).

fof(f142,plain,
    ! [X0,X1,X2] :
      ( next_subocc(X0,X1,X2)
    <=> sP4(X2,X1,X0) ),
    inference(definition_folding,[],[f124,f141]) ).

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,[],[f82]) ).

fof(f82,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,[],[f5]) ).

fof(f5,axiom,
    ! [X15,X16,X17] :
      ( next_subocc(X15,X16,X17)
    <=> ( ~ ? [X18] :
              ( min_precedes(X18,X16,X17)
              & min_precedes(X15,X18,X17) )
        & min_precedes(X15,X16,X17) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).

fof(f404,plain,
    next_subocc(sK7(sK5),sK8(sK5),tptp0),
    inference(unit_resulting_resolution,[],[f294,f215]) ).

fof(f215,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | next_subocc(sK7(X0),sK8(X0),tptp0) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f2998,plain,
    subactivity_occurrence(sK7(sK5),sK19(sK14(tptp0,sK7(sK5)),sK7(sK5),tptp0)),
    inference(unit_resulting_resolution,[],[f2956,f262]) ).

fof(f262,plain,
    ! [X2,X0,X1] :
      ( ~ sP2(X0,X1,X2)
      | subactivity_occurrence(X1,sK19(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f183]) ).

fof(f3036,plain,
    ~ leaf_occ(sK7(sK5),sK19(sK14(tptp0,sK7(sK5)),sK7(sK5),tptp0)),
    inference(unit_resulting_resolution,[],[f495,f2999,f287]) ).

fof(f287,plain,
    ! [X2,X0,X1] :
      ( ~ sP24(X2,X1)
      | ~ occurrence_of(X0,X2)
      | ~ leaf_occ(X1,X0) ),
    inference(general_splitting,[],[f272,f286_D]) ).

fof(f286,plain,
    ! [X2,X3,X1] :
      ( ~ min_precedes(X1,X3,X2)
      | sP24(X2,X1) ),
    inference(cnf_transformation,[],[f286_D]) ).

fof(f286_D,plain,
    ! [X1,X2] :
      ( ! [X3] : ~ min_precedes(X1,X3,X2)
    <=> ~ sP24(X2,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP24])]) ).

fof(f272,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,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1,X2] :
      ( ( leaf_occ(X1,X0)
        & occurrence_of(X0,X2) )
     => ~ ? [X3] : min_precedes(X1,X3,X2) ),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ! [X60,X61,X62] :
      ( ( leaf_occ(X61,X60)
        & occurrence_of(X60,X62) )
     => ~ ? [X63] : min_precedes(X61,X63,X62) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).

fof(f495,plain,
    sP24(tptp0,sK7(sK5)),
    inference(unit_resulting_resolution,[],[f486,f286]) ).

fof(f381,plain,
    arboreal(sK7(sK5)),
    inference(unit_resulting_resolution,[],[f200,f314,f226]) ).

fof(f226,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X0,X1)
      | ~ atomic(X1)
      | arboreal(X0) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f152,plain,
    ! [X0,X1] :
      ( ( ( arboreal(X0)
          | ~ atomic(X1) )
        & ( atomic(X1)
          | ~ arboreal(X0) ) )
      | ~ occurrence_of(X0,X1) ),
    inference(nnf_transformation,[],[f96]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( ( arboreal(X0)
      <=> atomic(X1) )
      | ~ occurrence_of(X0,X1) ),
    inference(ennf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( occurrence_of(X0,X1)
     => ( arboreal(X0)
      <=> atomic(X1) ) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X40,X41] :
      ( occurrence_of(X40,X41)
     => ( arboreal(X40)
      <=> atomic(X41) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_13) ).

fof(f314,plain,
    occurrence_of(sK7(sK5),tptp4),
    inference(unit_resulting_resolution,[],[f294,f211]) ).

fof(f211,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | occurrence_of(sK7(X0),tptp4) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f200,plain,
    atomic(tptp4),
    inference(cnf_transformation,[],[f36]) ).

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

fof(f203,plain,
    tptp3 != tptp1,
    inference(cnf_transformation,[],[f43]) ).

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

fof(f27888,plain,
    occurrence_of(sK10(sK7(sK5)),tptp3),
    inference(forward_demodulation,[],[f27887,f9606]) ).

fof(f9606,plain,
    sK10(sK7(sK5)) = sK8(sK12(sK10(sK7(sK5)),tptp0)),
    inference(unit_resulting_resolution,[],[f8397,f8336,f8410,f289]) ).

fof(f289,plain,
    ! [X2,X0,X1] :
      ( ~ leaf_occ(X1,X2)
      | X0 = X1
      | ~ leaf_occ(X0,X2)
      | ~ sP25(X2) ),
    inference(general_splitting,[],[f280,f288_D]) ).

fof(f288,plain,
    ! [X2,X3] :
      ( ~ occurrence_of(X2,X3)
      | atomic(X3)
      | sP25(X2) ),
    inference(cnf_transformation,[],[f288_D]) ).

fof(f288_D,plain,
    ! [X2] :
      ( ! [X3] :
          ( ~ occurrence_of(X2,X3)
          | atomic(X3) )
    <=> ~ sP25(X2) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP25])]) ).

fof(f280,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X1
      | ~ leaf_occ(X1,X2)
      | ~ leaf_occ(X0,X2)
      | atomic(X3)
      | ~ occurrence_of(X2,X3) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ! [X0,X1,X2,X3] :
      ( X0 = X1
      | ~ leaf_occ(X1,X2)
      | ~ leaf_occ(X0,X2)
      | atomic(X3)
      | ~ occurrence_of(X2,X3) ),
    inference(flattening,[],[f125]) ).

fof(f125,plain,
    ! [X0,X1,X2,X3] :
      ( X0 = X1
      | ~ leaf_occ(X1,X2)
      | ~ leaf_occ(X0,X2)
      | atomic(X3)
      | ~ occurrence_of(X2,X3) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0,X1,X2,X3] :
      ( ( leaf_occ(X1,X2)
        & leaf_occ(X0,X2)
        & ~ atomic(X3)
        & occurrence_of(X2,X3) )
     => X0 = X1 ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X11,X12,X13,X14] :
      ( ( leaf_occ(X12,X13)
        & leaf_occ(X11,X13)
        & ~ atomic(X14)
        & occurrence_of(X13,X14) )
     => X11 = X12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).

fof(f8410,plain,
    leaf_occ(sK8(sK12(sK10(sK7(sK5)),tptp0)),sK12(sK10(sK7(sK5)),tptp0)),
    inference(unit_resulting_resolution,[],[f8373,f214]) ).

fof(f214,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | leaf_occ(sK8(X0),X0) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f8373,plain,
    sP0(sK12(sK10(sK7(sK5)),tptp0)),
    inference(unit_resulting_resolution,[],[f8337,f216]) ).

fof(f8337,plain,
    occurrence_of(sK12(sK10(sK7(sK5)),tptp0),tptp0),
    inference(unit_resulting_resolution,[],[f195,f8332,f232]) ).

fof(f232,plain,
    ! [X0,X1] :
      ( ~ leaf(X0,X1)
      | atomic(X1)
      | occurrence_of(sK12(X0,X1),X1) ),
    inference(cnf_transformation,[],[f158]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( ( leaf_occ(X0,sK12(X0,X1))
        & occurrence_of(sK12(X0,X1),X1) )
      | atomic(X1)
      | ~ leaf(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f104,f157]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( leaf_occ(X0,X2)
          & occurrence_of(X2,X1) )
     => ( leaf_occ(X0,sK12(X0,X1))
        & occurrence_of(sK12(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( leaf_occ(X0,X2)
          & occurrence_of(X2,X1) )
      | atomic(X1)
      | ~ leaf(X0,X1) ),
    inference(flattening,[],[f103]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( leaf_occ(X0,X2)
          & occurrence_of(X2,X1) )
      | atomic(X1)
      | ~ leaf(X0,X1) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( ( ~ atomic(X1)
        & leaf(X0,X1) )
     => ? [X2] :
          ( leaf_occ(X0,X2)
          & occurrence_of(X2,X1) ) ),
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ! [X74,X75] :
      ( ( ~ atomic(X75)
        & leaf(X74,X75) )
     => ? [X76] :
          ( leaf_occ(X74,X76)
          & occurrence_of(X76,X75) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_25) ).

fof(f8332,plain,
    leaf(sK10(sK7(sK5)),tptp0),
    inference(unit_resulting_resolution,[],[f8305,f242]) ).

fof(f242,plain,
    ! [X0,X1] :
      ( ~ sP1(X1,X0)
      | leaf(X0,X1) ),
    inference(cnf_transformation,[],[f167]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( ( leaf(X0,X1)
        | ~ sP1(X1,X0) )
      & ( sP1(X1,X0)
        | ~ leaf(X0,X1) ) ),
    inference(nnf_transformation,[],[f136]) ).

fof(f136,plain,
    ! [X0,X1] :
      ( leaf(X0,X1)
    <=> sP1(X1,X0) ),
    inference(definition_folding,[],[f109,f135]) ).

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,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( leaf(X0,X1)
    <=> ( ~ ? [X2] : min_precedes(X0,X2,X1)
        & ( ? [X3] : min_precedes(X3,X0,X1)
          | root(X0,X1) ) ) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X42,X43] :
      ( leaf(X42,X43)
    <=> ( ~ ? [X45] : min_precedes(X42,X45,X43)
        & ( ? [X44] : min_precedes(X44,X42,X43)
          | root(X42,X43) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_14) ).

fof(f8305,plain,
    sP1(tptp0,sK10(sK7(sK5))),
    inference(unit_resulting_resolution,[],[f7596,f8291,f240]) ).

fof(f240,plain,
    ! [X3,X0,X1] :
      ( ~ min_precedes(X3,X1,X0)
      | min_precedes(X1,sK14(X0,X1),X0)
      | sP1(X0,X1) ),
    inference(cnf_transformation,[],[f166]) ).

fof(f8291,plain,
    ! [X0] : ~ min_precedes(sK10(sK7(sK5)),X0,tptp0),
    inference(unit_resulting_resolution,[],[f8282,f286]) ).

fof(f8282,plain,
    ~ sP24(tptp0,sK10(sK7(sK5))),
    inference(unit_resulting_resolution,[],[f7703,f8234,f287]) ).

fof(f8234,plain,
    leaf_occ(sK10(sK7(sK5)),sK19(sK10(sK7(sK5)),sK7(sK5),tptp0)),
    inference(subsumption_resolution,[],[f8233,f7703]) ).

fof(f8233,plain,
    ( leaf_occ(sK10(sK7(sK5)),sK19(sK10(sK7(sK5)),sK7(sK5),tptp0))
    | ~ occurrence_of(sK19(sK10(sK7(sK5)),sK7(sK5),tptp0),tptp0) ),
    inference(subsumption_resolution,[],[f8232,f7777]) ).

fof(f7777,plain,
    ~ root_occ(sK10(sK7(sK5)),sK19(sK10(sK7(sK5)),sK7(sK5),tptp0)),
    inference(unit_resulting_resolution,[],[f7635,f7703,f285]) ).

fof(f285,plain,
    ! [X2,X0,X1] :
      ( ~ sP23(X2,X1)
      | ~ occurrence_of(X0,X2)
      | ~ root_occ(X1,X0) ),
    inference(general_splitting,[],[f271,f284_D]) ).

fof(f284,plain,
    ! [X2,X3,X1] :
      ( ~ min_precedes(X3,X1,X2)
      | sP23(X2,X1) ),
    inference(cnf_transformation,[],[f284_D]) ).

fof(f284_D,plain,
    ! [X1,X2] :
      ( ! [X3] : ~ min_precedes(X3,X1,X2)
    <=> ~ sP23(X2,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP23])]) ).

fof(f271,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,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1,X2] :
      ( ( root_occ(X1,X0)
        & occurrence_of(X0,X2) )
     => ~ ? [X3] : min_precedes(X3,X1,X2) ),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X56,X57,X58] :
      ( ( root_occ(X57,X56)
        & occurrence_of(X56,X58) )
     => ~ ? [X59] : min_precedes(X59,X57,X58) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_20) ).

fof(f7635,plain,
    sP23(tptp0,sK10(sK7(sK5))),
    inference(unit_resulting_resolution,[],[f7596,f284]) ).

fof(f8232,plain,
    ( leaf_occ(sK10(sK7(sK5)),sK19(sK10(sK7(sK5)),sK7(sK5),tptp0))
    | root_occ(sK10(sK7(sK5)),sK19(sK10(sK7(sK5)),sK7(sK5),tptp0))
    | ~ occurrence_of(sK19(sK10(sK7(sK5)),sK7(sK5),tptp0),tptp0) ),
    inference(subsumption_resolution,[],[f8227,f5849]) ).

fof(f5849,plain,
    arboreal(sK10(sK7(sK5))),
    inference(unit_resulting_resolution,[],[f199,f5810,f226]) ).

fof(f199,plain,
    atomic(tptp1),
    inference(cnf_transformation,[],[f39]) ).

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

fof(f8227,plain,
    ( leaf_occ(sK10(sK7(sK5)),sK19(sK10(sK7(sK5)),sK7(sK5),tptp0))
    | ~ arboreal(sK10(sK7(sK5)))
    | root_occ(sK10(sK7(sK5)),sK19(sK10(sK7(sK5)),sK7(sK5),tptp0))
    | ~ occurrence_of(sK19(sK10(sK7(sK5)),sK7(sK5),tptp0),tptp0) ),
    inference(resolution,[],[f7701,f227]) ).

fof(f227,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | root_occ(X0,X1)
      | ~ occurrence_of(X1,tptp0) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( root_occ(X0,X1)
      | leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0) ),
    inference(flattening,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( root_occ(X0,X1)
      | 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) )
     => root_occ(X0,X1) ),
    inference(rectify,[],[f46]) ).

fof(f46,axiom,
    ! [X98,X99] :
      ( ( ~ leaf_occ(X98,X99)
        & arboreal(X98)
        & subactivity_occurrence(X98,X99)
        & occurrence_of(X99,tptp0) )
     => root_occ(X98,X99) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_45) ).

fof(f7701,plain,
    subactivity_occurrence(sK10(sK7(sK5)),sK19(sK10(sK7(sK5)),sK7(sK5),tptp0)),
    inference(unit_resulting_resolution,[],[f7604,f263]) ).

fof(f263,plain,
    ! [X2,X0,X1] :
      ( ~ sP2(X0,X1,X2)
      | subactivity_occurrence(X0,sK19(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f183]) ).

fof(f7604,plain,
    sP2(sK10(sK7(sK5)),sK7(sK5),tptp0),
    inference(unit_resulting_resolution,[],[f7596,f264]) ).

fof(f7703,plain,
    occurrence_of(sK19(sK10(sK7(sK5)),sK7(sK5),tptp0),tptp0),
    inference(unit_resulting_resolution,[],[f7604,f261]) ).

fof(f7596,plain,
    min_precedes(sK7(sK5),sK10(sK7(sK5)),tptp0),
    inference(unit_resulting_resolution,[],[f7587,f274]) ).

fof(f7587,plain,
    sP4(tptp0,sK10(sK7(sK5)),sK7(sK5)),
    inference(unit_resulting_resolution,[],[f7538,f278]) ).

fof(f7538,plain,
    next_subocc(sK7(sK5),sK10(sK7(sK5)),tptp0),
    inference(unit_resulting_resolution,[],[f381,f3036,f2998,f2999,f229]) ).

fof(f229,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,[],[f154]) ).

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

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

fof(f8336,plain,
    leaf_occ(sK10(sK7(sK5)),sK12(sK10(sK7(sK5)),tptp0)),
    inference(unit_resulting_resolution,[],[f195,f8332,f233]) ).

fof(f233,plain,
    ! [X0,X1] :
      ( ~ leaf(X0,X1)
      | atomic(X1)
      | leaf_occ(X0,sK12(X0,X1)) ),
    inference(cnf_transformation,[],[f158]) ).

fof(f8397,plain,
    sP25(sK12(sK10(sK7(sK5)),tptp0)),
    inference(unit_resulting_resolution,[],[f195,f8337,f288]) ).

fof(f27887,plain,
    occurrence_of(sK8(sK12(sK10(sK7(sK5)),tptp0)),tptp3),
    inference(subsumption_resolution,[],[f27852,f5855]) ).

fof(f5855,plain,
    ~ occurrence_of(sK10(sK7(sK5)),tptp2),
    inference(unit_resulting_resolution,[],[f202,f5810,f273]) ).

fof(f202,plain,
    tptp2 != tptp1,
    inference(cnf_transformation,[],[f44]) ).

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

fof(f27852,plain,
    ( occurrence_of(sK10(sK7(sK5)),tptp2)
    | occurrence_of(sK8(sK12(sK10(sK7(sK5)),tptp0)),tptp3) ),
    inference(superposition,[],[f8413,f9606]) ).

fof(f8413,plain,
    ( occurrence_of(sK8(sK12(sK10(sK7(sK5)),tptp0)),tptp2)
    | occurrence_of(sK8(sK12(sK10(sK7(sK5)),tptp0)),tptp3) ),
    inference(resolution,[],[f8373,f213]) ).

fof(f213,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | occurrence_of(sK8(X0),tptp3)
      | occurrence_of(sK8(X0),tptp2) ),
    inference(cnf_transformation,[],[f149]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : PRO005+2 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri May  3 20:36:53 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  % (21926)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36  % (21927)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.36  % (21931)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)
% 0.13/0.37  % (21929)WARNING: value z3 for option sas not known
% 0.13/0.37  % (21928)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37  % (21932)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)
% 0.13/0.37  % (21933)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)
% 0.13/0.37  % (21929)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)
% 0.13/0.37  Detected minimum model sizes of [4]
% 0.13/0.37  Detected maximum model sizes of [max]
% 0.13/0.37  % (21930)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37  TRYING [4]
% 0.20/0.37  Detected minimum model sizes of [4]
% 0.20/0.37  Detected maximum model sizes of [max]
% 0.20/0.37  TRYING [4]
% 0.20/0.39  TRYING [5]
% 0.20/0.39  TRYING [5]
% 0.20/0.41  TRYING [6]
% 0.20/0.43  TRYING [6]
% 0.20/0.47  TRYING [7]
% 0.20/0.50  TRYING [7]
% 1.54/0.58  TRYING [8]
% 1.54/0.62  TRYING [8]
% 3.06/0.81  TRYING [9]
% 3.67/0.86  TRYING [9]
% 4.20/0.97  % (21933)First to succeed.
% 4.53/0.98  % (21933)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21926"
% 4.53/0.98  % (21933)Refutation found. Thanks to Tanya!
% 4.53/0.98  % SZS status Theorem for theBenchmark
% 4.53/0.98  % SZS output start Proof for theBenchmark
% See solution above
% 4.53/0.98  % (21933)------------------------------
% 4.53/0.98  % (21933)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 4.53/0.98  % (21933)Termination reason: Refutation
% 4.53/0.98  
% 4.53/0.98  % (21933)Memory used [KB]: 8559
% 4.53/0.98  % (21933)Time elapsed: 0.609 s
% 4.53/0.98  % (21933)Instructions burned: 2111 (million)
% 4.53/0.98  % (21926)Success in time 0.632 s
%------------------------------------------------------------------------------