↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : PRO017+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 12:30:28 PM UTC 2026

% Result   : Theorem 4.84s 1.64s
% Output   : Refutation 6.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  161 (  30 unt;   8 def)
%            Number of atoms       :  528 (  40 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  614 ( 247   ~; 261   |;  82   &)
%                                         (  12 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   20 (  18 usr;   9 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   7 con; 0-3 aty)
%            Number of variables   :  186 (   0 sgn 159   !;  27   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0,X1] :
      ( occurrence_of(X1,X0)
     => ( activity(X0)
        & activity_occurrence(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).

fof(f7,axiom,
    ! [X0,X1,X2] :
      ( min_precedes(X1,X2,X0)
     => ? [X3] :
          ( occurrence_of(X3,X0)
          & subactivity_occurrence(X1,X3)
          & subactivity_occurrence(X2,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).

fof(f9,axiom,
    ! [X0,X1,X2] :
      ( ( occurrence_of(X0,X1)
        & occurrence_of(X0,X2) )
     => X1 = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).

fof(f10,axiom,
    ! [X0,X1,X2] :
      ( ( occurrence_of(X0,X2)
        & leaf_occ(X1,X0) )
     => ~ ? [X3] : min_precedes(X1,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_09) ).

fof(f13,axiom,
    ! [X0] :
      ( activity_occurrence(X0)
     => ? [X1] :
          ( activity(X1)
          & occurrence_of(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_12) ).

fof(f17,axiom,
    ! [X0,X1] :
      ( occurrence_of(X0,X1)
     => ( arboreal(X0)
      <=> atomic(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_16) ).

fof(f27,axiom,
    ! [X0,X1,X2] :
      ( next_subocc(X0,X1,X2)
    <=> ( min_precedes(X0,X1,X2)
        & ~ ? [X3] :
              ( min_precedes(X0,X3,X2)
              & min_precedes(X3,X1,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_26) ).

fof(f33,axiom,
    ! [X0,X1] :
      ( ( occurrence_of(X1,tptp0)
        & subactivity_occurrence(X0,X1)
        & arboreal(X0)
        & ~ leaf_occ(X0,X1) )
     => ? [X2,X3,X4] :
          ( occurrence_of(X2,tptp3)
          & next_subocc(X0,X2,tptp0)
          & occurrence_of(X3,tptp4)
          & min_precedes(X2,X3,tptp0)
          & ( occurrence_of(X4,tptp2)
            | occurrence_of(X4,tptp1) )
          & min_precedes(X3,X4,tptp0)
          & ! [X5] :
              ( min_precedes(X2,X5,tptp0)
             => ( X5 = X3
                | X5 = X4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).

fof(f39,axiom,
    atomic(tptp3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_38) ).

fof(f40,axiom,
    tptp4 != tptp3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_39) ).

fof(f43,axiom,
    tptp3 != tptp2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_42) ).

fof(f44,axiom,
    tptp3 != tptp1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_43) ).

fof(f46,conjecture,
    ! [X0,X1] :
      ( ( occurrence_of(X1,tptp0)
        & subactivity_occurrence(X0,X1)
        & arboreal(X0)
        & ~ leaf_occ(X0,X1) )
     => ? [X2,X3] :
          ( occurrence_of(X2,tptp3)
          & next_subocc(X0,X2,tptp0)
          & ( occurrence_of(X3,tptp2)
            | occurrence_of(X3,tptp1) )
          & min_precedes(X2,X3,tptp0)
          & leaf(X3,tptp0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(f47,negated_conjecture,
    ~ ! [X0,X1] :
        ( ( occurrence_of(X1,tptp0)
          & subactivity_occurrence(X0,X1)
          & arboreal(X0)
          & ~ leaf_occ(X0,X1) )
       => ? [X2,X3] :
            ( occurrence_of(X2,tptp3)
            & next_subocc(X0,X2,tptp0)
            & ( occurrence_of(X3,tptp2)
              | occurrence_of(X3,tptp1) )
            & min_precedes(X2,X3,tptp0)
            & leaf(X3,tptp0) ) ),
    inference(negated_conjecture,[status(cth)],[f46]) ).

fof(f52,plain,
    ! [X0] :
      ( activity_occurrence(X0)
     => ? [X1] : occurrence_of(X0,X1) ),
    inference(pure_predicate_removal,[],[f13]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( occurrence_of(X1,X0)
     => activity_occurrence(X1) ),
    inference(pure_predicate_removal,[],[f4]) ).

fof(f55,plain,
    ? [X0,X1] :
      ( ! [X2,X3] :
          ( ~ occurrence_of(X2,tptp3)
          | ~ next_subocc(X0,X2,tptp0)
          | ( ~ occurrence_of(X3,tptp2)
            & ~ occurrence_of(X3,tptp1) )
          | ~ min_precedes(X2,X3,tptp0)
          | ~ leaf(X3,tptp0) )
      & occurrence_of(X1,tptp0)
      & subactivity_occurrence(X0,X1)
      & arboreal(X0)
      & ~ leaf_occ(X0,X1) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f56,plain,
    ? [X0,X1] :
      ( ! [X2,X3] :
          ( ~ occurrence_of(X2,tptp3)
          | ~ next_subocc(X0,X2,tptp0)
          | ( ~ occurrence_of(X3,tptp2)
            & ~ occurrence_of(X3,tptp1) )
          | ~ min_precedes(X2,X3,tptp0)
          | ~ leaf(X3,tptp0) )
      & occurrence_of(X1,tptp0)
      & subactivity_occurrence(X0,X1)
      & arboreal(X0)
      & ~ leaf_occ(X0,X1) ),
    inference(flattening,[],[f55]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ? [X2,X3,X4] :
          ( occurrence_of(X2,tptp3)
          & next_subocc(X0,X2,tptp0)
          & occurrence_of(X3,tptp4)
          & min_precedes(X2,X3,tptp0)
          & ( occurrence_of(X4,tptp2)
            | occurrence_of(X4,tptp1) )
          & min_precedes(X3,X4,tptp0)
          & ! [X5] :
              ( X5 = X3
              | X5 = X4
              | ~ min_precedes(X2,X5,tptp0) ) )
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ? [X2,X3,X4] :
          ( occurrence_of(X2,tptp3)
          & next_subocc(X0,X2,tptp0)
          & occurrence_of(X3,tptp4)
          & min_precedes(X2,X3,tptp0)
          & ( occurrence_of(X4,tptp2)
            | occurrence_of(X4,tptp1) )
          & min_precedes(X3,X4,tptp0)
          & ! [X5] :
              ( X5 = X3
              | X5 = X4
              | ~ min_precedes(X2,X5,tptp0) ) )
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(flattening,[],[f57]) ).

fof(f61,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( occurrence_of(X3,X0)
          & subactivity_occurrence(X1,X3)
          & subactivity_occurrence(X2,X3) )
      | ~ min_precedes(X1,X2,X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f64,plain,
    ! [X0,X1,X2] :
      ( ! [X3] : ~ min_precedes(X1,X3,X2)
      | ~ occurrence_of(X0,X2)
      | ~ leaf_occ(X1,X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f65,plain,
    ! [X0,X1,X2] :
      ( ! [X3] : ~ min_precedes(X1,X3,X2)
      | ~ occurrence_of(X0,X2)
      | ~ leaf_occ(X1,X0) ),
    inference(flattening,[],[f64]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ( arboreal(X0)
      <=> atomic(X1) )
      | ~ occurrence_of(X0,X1) ),
    inference(ennf_transformation,[],[f17]) ).

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

fof(f79,plain,
    ! [X0] :
      ( ? [X1] : occurrence_of(X0,X1)
      | ~ activity_occurrence(X0) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( activity_occurrence(X1)
      | ~ occurrence_of(X1,X0) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f81,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ occurrence_of(X0,X1)
      | ~ occurrence_of(X0,X2) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f82,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ occurrence_of(X0,X1)
      | ~ occurrence_of(X0,X2) ),
    inference(flattening,[],[f81]) ).

fof(f102,plain,
    ( ! [X2,X3] :
        ( ~ occurrence_of(X2,tptp3)
        | ~ next_subocc(sK0,X2,tptp0)
        | ( ~ occurrence_of(X3,tptp2)
          & ~ occurrence_of(X3,tptp1) )
        | ~ min_precedes(X2,X3,tptp0)
        | ~ leaf(X3,tptp0) )
    & occurrence_of(sK1,tptp0)
    & subactivity_occurrence(sK0,sK1)
    & arboreal(sK0)
    & ~ leaf_occ(sK0,sK1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f56]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ( occurrence_of(sK2(X0),tptp3)
        & next_subocc(X0,sK2(X0),tptp0)
        & occurrence_of(sK3(X0),tptp4)
        & min_precedes(sK2(X0),sK3(X0),tptp0)
        & ( occurrence_of(sK4(X0),tptp2)
          | occurrence_of(sK4(X0),tptp1) )
        & min_precedes(sK3(X0),sK4(X0),tptp0)
        & ! [X5] :
            ( sK3(X0) = X5
            | sK4(X0) = X5
            | ~ min_precedes(sK2(X0),X5,tptp0) ) )
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X2,sK2(X0)),skolemize(X3,sK3(X0)),skolemize(X4,sK4(X0))],[f58]) ).

fof(f104,plain,
    ! [X0,X1,X2] :
      ( ( occurrence_of(sK5(X0,X1,X2),X0)
        & subactivity_occurrence(X1,sK5(X0,X1,X2))
        & subactivity_occurrence(X2,sK5(X0,X1,X2)) )
      | ~ min_precedes(X1,X2,X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X3,sK5(X0,X1,X2))],[f61]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ( ( arboreal(X0)
          | ~ atomic(X1) )
        & ( atomic(X1)
          | ~ arboreal(X0) ) )
      | ~ occurrence_of(X0,X1) ),
    inference(nnf_transformation,[],[f73]) ).

fof(f114,plain,
    ! [X0,X1,X2] :
      ( ( next_subocc(X0,X1,X2)
        | ~ min_precedes(X0,X1,X2)
        | ? [X3] :
            ( min_precedes(X0,X3,X2)
            & min_precedes(X3,X1,X2) ) )
      & ( ( min_precedes(X0,X1,X2)
          & ! [X3] :
              ( ~ min_precedes(X0,X3,X2)
              | ~ min_precedes(X3,X1,X2) ) )
        | ~ next_subocc(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f78]) ).

fof(f115,plain,
    ! [X0,X1,X2] :
      ( ( next_subocc(X0,X1,X2)
        | ~ min_precedes(X0,X1,X2)
        | ? [X3] :
            ( min_precedes(X0,X3,X2)
            & min_precedes(X3,X1,X2) ) )
      & ( ( min_precedes(X0,X1,X2)
          & ! [X3] :
              ( ~ min_precedes(X0,X3,X2)
              | ~ min_precedes(X3,X1,X2) ) )
        | ~ next_subocc(X0,X1,X2) ) ),
    inference(flattening,[],[f114]) ).

fof(f116,plain,
    ! [X0,X1,X2] :
      ( ( next_subocc(X0,X1,X2)
        | ~ min_precedes(X0,X1,X2)
        | ? [X3] :
            ( min_precedes(X0,X3,X2)
            & min_precedes(X3,X1,X2) ) )
      & ( ( min_precedes(X0,X1,X2)
          & ! [X4] :
              ( ~ min_precedes(X0,X4,X2)
              | ~ min_precedes(X4,X1,X2) ) )
        | ~ next_subocc(X0,X1,X2) ) ),
    inference(rectify,[],[f115]) ).

fof(f117,plain,
    ! [X0,X1,X2] :
      ( ( next_subocc(X0,X1,X2)
        | ~ min_precedes(X0,X1,X2)
        | ( min_precedes(X0,sK10(X0,X1,X2),X2)
          & min_precedes(sK10(X0,X1,X2),X1,X2) ) )
      & ( ( min_precedes(X0,X1,X2)
          & ! [X4] :
              ( ~ min_precedes(X0,X4,X2)
              | ~ min_precedes(X4,X1,X2) ) )
        | ~ next_subocc(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X3,sK10(X0,X1,X2))],[f116]) ).

fof(f118,plain,
    ! [X0] :
      ( occurrence_of(X0,sK11(X0))
      | ~ activity_occurrence(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X1,sK11(X0))],[f79]) ).

fof(f125,plain,
    ~ leaf_occ(sK0,sK1),
    inference(cnf_transformation,[],[f102]) ).

fof(f126,plain,
    arboreal(sK0),
    inference(cnf_transformation,[],[f102]) ).

fof(f127,plain,
    subactivity_occurrence(sK0,sK1),
    inference(cnf_transformation,[],[f102]) ).

fof(f128,plain,
    occurrence_of(sK1,tptp0),
    inference(cnf_transformation,[],[f102]) ).

fof(f132,plain,
    ! [X0,X1,X5] :
      ( ~ min_precedes(sK2(X0),X5,tptp0)
      | sK4(X0) = X5
      | sK3(X0) = X5
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | occurrence_of(sK4(X0),tptp1)
      | ~ occurrence_of(X1,tptp0)
      | occurrence_of(sK4(X0),tptp2)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | min_precedes(sK2(X0),sK3(X0),tptp0)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f136,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | occurrence_of(sK3(X0),tptp4)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | next_subocc(X0,sK2(X0),tptp0)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | occurrence_of(sK2(X0),tptp3)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f139,plain,
    tptp3 != tptp1,
    inference(cnf_transformation,[],[f44]) ).

fof(f140,plain,
    tptp3 != tptp2,
    inference(cnf_transformation,[],[f43]) ).

fof(f141,plain,
    tptp3 != tptp4,
    inference(cnf_transformation,[],[f40]) ).

fof(f142,plain,
    atomic(tptp3),
    inference(cnf_transformation,[],[f39]) ).

fof(f147,plain,
    ! [X2,X0,X1] :
      ( subactivity_occurrence(X2,sK5(X0,X1,X2))
      | ~ min_precedes(X1,X2,X0) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f149,plain,
    ! [X2,X0,X1] :
      ( occurrence_of(sK5(X0,X1,X2),X0)
      | ~ min_precedes(X1,X2,X0) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f157,plain,
    ! [X2,X3,X0,X1] :
      ( ~ min_precedes(X1,X3,X2)
      | ~ occurrence_of(X0,X2)
      | ~ leaf_occ(X1,X0) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X0,X1)
      | ~ atomic(X1)
      | arboreal(X0) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f173,plain,
    ! [X2,X0,X1] :
      ( ~ next_subocc(X0,X1,X2)
      | min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f176,plain,
    ! [X0] :
      ( occurrence_of(X0,sK11(X0))
      | ~ activity_occurrence(X0) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f177,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X1,X0)
      | activity_occurrence(X1) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f178,plain,
    ! [X2,X0,X1] :
      ( ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f216,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X0,X1)
      | sK11(X0) = X1
      | ~ activity_occurrence(X0) ),
    inference(resolution,[],[f178,f176]) ).

fof(f218,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X0,X1)
      | sK11(X0) = X1 ),
    inference(forward_subsumption_resolution,[],[f216,f177]) ).

fof(f299,plain,
    ( ~ occurrence_of(sK1,tptp0)
    | occurrence_of(sK3(sK0),tptp4)
    | ~ arboreal(sK0)
    | leaf_occ(sK0,sK1) ),
    inference(resolution,[],[f136,f127]) ).

fof(f305,plain,
    ( occurrence_of(sK3(sK0),tptp4)
    | ~ arboreal(sK0)
    | leaf_occ(sK0,sK1) ),
    inference(forward_subsumption_resolution,[],[f299,f128]) ).

fof(f306,plain,
    ( occurrence_of(sK3(sK0),tptp4)
    | leaf_occ(sK0,sK1) ),
    inference(forward_subsumption_resolution,[],[f305,f126]) ).

fof(f307,plain,
    occurrence_of(sK3(sK0),tptp4),
    inference(forward_subsumption_resolution,[],[f306,f125]) ).

fof(f309,plain,
    ! [X0] :
      ( ~ occurrence_of(sK3(sK0),X0)
      | tptp4 = X0 ),
    inference(resolution,[],[f307,f178]) ).

fof(f314,plain,
    ( ~ occurrence_of(sK1,tptp0)
    | occurrence_of(sK2(sK0),tptp3)
    | ~ arboreal(sK0)
    | leaf_occ(sK0,sK1) ),
    inference(resolution,[],[f138,f127]) ).

fof(f315,plain,
    ! [X2,X0,X1] :
      ( ~ occurrence_of(sK5(X0,X1,X2),tptp0)
      | occurrence_of(sK2(X2),tptp3)
      | ~ arboreal(X2)
      | leaf_occ(X2,sK5(X0,X1,X2))
      | ~ min_precedes(X1,X2,X0) ),
    inference(resolution,[],[f138,f147]) ).

fof(f320,plain,
    ( occurrence_of(sK2(sK0),tptp3)
    | ~ arboreal(sK0)
    | leaf_occ(sK0,sK1) ),
    inference(forward_subsumption_resolution,[],[f314,f128]) ).

fof(f321,plain,
    ( occurrence_of(sK2(sK0),tptp3)
    | leaf_occ(sK0,sK1) ),
    inference(forward_subsumption_resolution,[],[f320,f126]) ).

fof(f322,plain,
    occurrence_of(sK2(sK0),tptp3),
    inference(forward_subsumption_resolution,[],[f321,f125]) ).

fof(f348,plain,
    ( ~ atomic(tptp3)
    | arboreal(sK2(sK0)) ),
    inference(resolution,[],[f322,f165]) ).

fof(f351,plain,
    arboreal(sK2(sK0)),
    inference(forward_subsumption_resolution,[],[f348,f142]) ).

fof(f357,plain,
    ( ~ occurrence_of(sK1,tptp0)
    | next_subocc(sK0,sK2(sK0),tptp0)
    | ~ arboreal(sK0)
    | leaf_occ(sK0,sK1) ),
    inference(resolution,[],[f137,f127]) ).

fof(f358,plain,
    ! [X2,X0,X1] :
      ( ~ occurrence_of(sK5(X0,X1,X2),tptp0)
      | next_subocc(X2,sK2(X2),tptp0)
      | ~ arboreal(X2)
      | leaf_occ(X2,sK5(X0,X1,X2))
      | ~ min_precedes(X1,X2,X0) ),
    inference(resolution,[],[f137,f147]) ).

fof(f363,plain,
    ( next_subocc(sK0,sK2(sK0),tptp0)
    | ~ arboreal(sK0)
    | leaf_occ(sK0,sK1) ),
    inference(forward_subsumption_resolution,[],[f357,f128]) ).

fof(f364,plain,
    ( next_subocc(sK0,sK2(sK0),tptp0)
    | leaf_occ(sK0,sK1) ),
    inference(forward_subsumption_resolution,[],[f363,f126]) ).

fof(f365,plain,
    next_subocc(sK0,sK2(sK0),tptp0),
    inference(forward_subsumption_resolution,[],[f364,f125]) ).

fof(f378,plain,
    min_precedes(sK0,sK2(sK0),tptp0),
    inference(resolution,[],[f365,f173]) ).

fof(f383,plain,
    ( ~ occurrence_of(sK1,tptp0)
    | min_precedes(sK2(sK0),sK3(sK0),tptp0)
    | ~ arboreal(sK0)
    | leaf_occ(sK0,sK1) ),
    inference(resolution,[],[f135,f127]) ).

fof(f389,plain,
    ( min_precedes(sK2(sK0),sK3(sK0),tptp0)
    | ~ arboreal(sK0)
    | leaf_occ(sK0,sK1) ),
    inference(forward_subsumption_resolution,[],[f383,f128]) ).

fof(f390,plain,
    ( min_precedes(sK2(sK0),sK3(sK0),tptp0)
    | leaf_occ(sK0,sK1) ),
    inference(forward_subsumption_resolution,[],[f389,f126]) ).

fof(f391,plain,
    min_precedes(sK2(sK0),sK3(sK0),tptp0),
    inference(forward_subsumption_resolution,[],[f390,f125]) ).

fof(f399,plain,
    ( occurrence_of(sK4(sK0),tptp1)
    | ~ occurrence_of(sK1,tptp0)
    | occurrence_of(sK4(sK0),tptp2)
    | ~ arboreal(sK0)
    | leaf_occ(sK0,sK1) ),
    inference(resolution,[],[f134,f127]) ).

fof(f405,plain,
    ( occurrence_of(sK4(sK0),tptp1)
    | occurrence_of(sK4(sK0),tptp2)
    | ~ arboreal(sK0)
    | leaf_occ(sK0,sK1) ),
    inference(forward_subsumption_resolution,[],[f399,f128]) ).

fof(f406,plain,
    ( occurrence_of(sK4(sK0),tptp1)
    | occurrence_of(sK4(sK0),tptp2)
    | leaf_occ(sK0,sK1) ),
    inference(forward_subsumption_resolution,[],[f405,f126]) ).

fof(f407,plain,
    ( occurrence_of(sK4(sK0),tptp1)
    | occurrence_of(sK4(sK0),tptp2) ),
    inference(forward_subsumption_resolution,[],[f406,f125]) ).

fof(f409,definition,
    ( spl16_3
  <=> occurrence_of(sK4(sK0),tptp2) ),
    introduced(definition,[new_symbols(definition,[spl16_3])],[avatar_definition]) ).

fof(f411,plain,
    ( occurrence_of(sK4(sK0),tptp2)
    | ~ spl16_3 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f413,definition,
    ( spl16_4
  <=> occurrence_of(sK4(sK0),tptp1) ),
    introduced(definition,[new_symbols(definition,[spl16_4])],[avatar_definition]) ).

fof(f415,plain,
    ( occurrence_of(sK4(sK0),tptp1)
    | ~ spl16_4 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f416,plain,
    ( spl16_3
    | spl16_4 ),
    inference(avatar_split_clause,[],[f407,f413,f409]) ).

fof(f418,plain,
    ( ! [X0] :
        ( ~ occurrence_of(sK4(sK0),X0)
        | tptp2 = X0 )
    | ~ spl16_3 ),
    inference(resolution,[],[f411,f178]) ).

fof(f438,plain,
    ! [X0] :
      ( ~ leaf_occ(sK0,X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(resolution,[],[f378,f157]) ).

fof(f484,plain,
    ! [X0] :
      ( ~ leaf_occ(sK2(sK0),X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(resolution,[],[f391,f157]) ).

fof(f841,plain,
    ! [X0,X1] :
      ( occurrence_of(sK2(X0),tptp3)
      | ~ arboreal(X0)
      | leaf_occ(X0,sK5(tptp0,X1,X0))
      | ~ min_precedes(X1,X0,tptp0)
      | ~ min_precedes(X1,X0,tptp0) ),
    inference(resolution,[],[f315,f149]) ).

fof(f842,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,sK5(tptp0,X1,X0))
      | ~ arboreal(X0)
      | occurrence_of(sK2(X0),tptp3)
      | ~ min_precedes(X1,X0,tptp0) ),
    inference(duplicate_literal_removal,[],[f841]) ).

fof(f886,plain,
    ! [X0,X1] :
      ( next_subocc(X0,sK2(X0),tptp0)
      | ~ arboreal(X0)
      | leaf_occ(X0,sK5(tptp0,X1,X0))
      | ~ min_precedes(X1,X0,tptp0)
      | ~ min_precedes(X1,X0,tptp0) ),
    inference(resolution,[],[f358,f149]) ).

fof(f887,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,sK5(tptp0,X1,X0))
      | ~ arboreal(X0)
      | next_subocc(X0,sK2(X0),tptp0)
      | ~ min_precedes(X1,X0,tptp0) ),
    inference(duplicate_literal_removal,[],[f886]) ).

fof(f1115,definition,
    ( spl16_21
  <=> ! [X0] :
        ( ~ occurrence_of(X0,tptp0)
        | ~ subactivity_occurrence(sK0,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl16_21])],[avatar_definition]) ).

fof(f1116,plain,
    ( ! [X0] :
        ( ~ subactivity_occurrence(sK0,X0)
        | ~ occurrence_of(X0,tptp0) )
    | ~ spl16_21 ),
    inference(avatar_component_clause,[],[f1115]) ).

fof(f1403,plain,
    ( ~ occurrence_of(sK1,tptp0)
    | ~ spl16_21 ),
    inference(resolution,[],[f1116,f127]) ).

fof(f1407,plain,
    ( $false
    | ~ spl16_21 ),
    inference(forward_subsumption_resolution,[],[f1403,f128]) ).

fof(f1408,plain,
    ~ spl16_21,
    inference(avatar_contradiction_clause,[],[f1407]) ).

fof(f2326,definition,
    ( spl16_81
  <=> ! [X0] : ~ min_precedes(X0,sK2(sK0),tptp0) ),
    introduced(definition,[new_symbols(definition,[spl16_81])],[avatar_definition]) ).

fof(f2327,plain,
    ( ! [X0] : ~ min_precedes(X0,sK2(sK0),tptp0)
    | ~ spl16_81 ),
    inference(avatar_component_clause,[],[f2326]) ).

fof(f2406,plain,
    ! [X0] :
      ( ~ arboreal(sK2(sK0))
      | occurrence_of(sK2(sK2(sK0)),tptp3)
      | ~ min_precedes(X0,sK2(sK0),tptp0)
      | ~ occurrence_of(sK5(tptp0,X0,sK2(sK0)),tptp0) ),
    inference(resolution,[],[f842,f484]) ).

fof(f2421,plain,
    ! [X0] :
      ( ~ arboreal(sK2(sK0))
      | occurrence_of(sK2(sK2(sK0)),tptp3)
      | ~ min_precedes(X0,sK2(sK0),tptp0) ),
    inference(forward_subsumption_resolution,[],[f2406,f149]) ).

fof(f2469,definition,
    ( spl16_89
  <=> occurrence_of(sK2(sK2(sK0)),tptp3) ),
    introduced(definition,[new_symbols(definition,[spl16_89])],[avatar_definition]) ).

fof(f2471,plain,
    ( occurrence_of(sK2(sK2(sK0)),tptp3)
    | ~ spl16_89 ),
    inference(avatar_component_clause,[],[f2469]) ).

fof(f2480,plain,
    ( $false
    | ~ spl16_81 ),
    inference(resolution,[],[f2327,f378]) ).

fof(f2491,plain,
    ~ spl16_81,
    inference(avatar_contradiction_clause,[],[f2480]) ).

fof(f2494,plain,
    ! [X0] :
      ( occurrence_of(sK2(sK2(sK0)),tptp3)
      | ~ min_precedes(X0,sK2(sK0),tptp0) ),
    inference(forward_subsumption_resolution,[],[f2421,f351]) ).

fof(f2495,plain,
    ( spl16_81
    | spl16_89 ),
    inference(avatar_split_clause,[],[f2494,f2469,f2326]) ).

fof(f2589,plain,
    ! [X0] :
      ( ~ arboreal(sK2(sK0))
      | next_subocc(sK2(sK0),sK2(sK2(sK0)),tptp0)
      | ~ min_precedes(X0,sK2(sK0),tptp0)
      | ~ occurrence_of(sK5(tptp0,X0,sK2(sK0)),tptp0) ),
    inference(resolution,[],[f887,f484]) ).

fof(f2604,plain,
    ! [X0] :
      ( ~ arboreal(sK2(sK0))
      | next_subocc(sK2(sK0),sK2(sK2(sK0)),tptp0)
      | ~ min_precedes(X0,sK2(sK0),tptp0) ),
    inference(forward_subsumption_resolution,[],[f2589,f149]) ).

fof(f2606,plain,
    ! [X0] :
      ( next_subocc(sK2(sK0),sK2(sK2(sK0)),tptp0)
      | ~ min_precedes(X0,sK2(sK0),tptp0) ),
    inference(forward_subsumption_resolution,[],[f2604,f351]) ).

fof(f2613,definition,
    ( spl16_91
  <=> next_subocc(sK2(sK0),sK2(sK2(sK0)),tptp0) ),
    introduced(definition,[new_symbols(definition,[spl16_91])],[avatar_definition]) ).

fof(f2615,plain,
    ( next_subocc(sK2(sK0),sK2(sK2(sK0)),tptp0)
    | ~ spl16_91 ),
    inference(avatar_component_clause,[],[f2613]) ).

fof(f2616,plain,
    ( spl16_81
    | spl16_91 ),
    inference(avatar_split_clause,[],[f2606,f2613,f2326]) ).

fof(f2643,plain,
    ( tptp3 = sK11(sK2(sK2(sK0)))
    | ~ spl16_89 ),
    inference(resolution,[],[f2471,f218]) ).

fof(f2757,plain,
    ( min_precedes(sK2(sK0),sK2(sK2(sK0)),tptp0)
    | ~ spl16_91 ),
    inference(resolution,[],[f2615,f173]) ).

fof(f3557,plain,
    ( ! [X0] :
        ( sK4(sK0) = sK2(sK2(sK0))
        | sK3(sK0) = sK2(sK2(sK0))
        | ~ occurrence_of(X0,tptp0)
        | ~ subactivity_occurrence(sK0,X0)
        | ~ arboreal(sK0)
        | leaf_occ(sK0,X0) )
    | ~ spl16_91 ),
    inference(resolution,[],[f2757,f132]) ).

fof(f3585,plain,
    ( ! [X0] :
        ( sK4(sK0) = sK2(sK2(sK0))
        | sK3(sK0) = sK2(sK2(sK0))
        | ~ occurrence_of(X0,tptp0)
        | ~ subactivity_occurrence(sK0,X0)
        | ~ arboreal(sK0) )
    | ~ spl16_91 ),
    inference(forward_subsumption_resolution,[],[f3557,f438]) ).

fof(f3605,plain,
    ( ! [X0] :
        ( sK4(sK0) = sK2(sK2(sK0))
        | sK3(sK0) = sK2(sK2(sK0))
        | ~ occurrence_of(X0,tptp0)
        | ~ subactivity_occurrence(sK0,X0) )
    | ~ spl16_91 ),
    inference(forward_subsumption_resolution,[],[f3585,f126]) ).

fof(f3607,definition,
    ( spl16_120
  <=> sK3(sK0) = sK2(sK2(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl16_120])],[avatar_definition]) ).

fof(f3609,plain,
    ( sK3(sK0) = sK2(sK2(sK0))
    | ~ spl16_120 ),
    inference(avatar_component_clause,[],[f3607]) ).

fof(f3611,definition,
    ( spl16_121
  <=> sK4(sK0) = sK2(sK2(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl16_121])],[avatar_definition]) ).

fof(f3613,plain,
    ( sK4(sK0) = sK2(sK2(sK0))
    | ~ spl16_121 ),
    inference(avatar_component_clause,[],[f3611]) ).

fof(f3614,plain,
    ( spl16_21
    | spl16_120
    | spl16_121
    | ~ spl16_91 ),
    inference(avatar_split_clause,[],[f3605,f2613,f3611,f3607,f1115]) ).

fof(f3692,plain,
    ( occurrence_of(sK3(sK0),tptp3)
    | ~ spl16_89
    | ~ spl16_120 ),
    inference(superposition,[],[f2471,f3609]) ).

fof(f3780,plain,
    ( occurrence_of(sK4(sK0),tptp3)
    | ~ spl16_89
    | ~ spl16_121 ),
    inference(superposition,[],[f2471,f3613]) ).

fof(f3782,plain,
    ( tptp3 = sK11(sK4(sK0))
    | ~ spl16_89
    | ~ spl16_121 ),
    inference(superposition,[],[f2643,f3613]) ).

fof(f3825,plain,
    ( tptp3 = tptp4
    | ~ spl16_89
    | ~ spl16_120 ),
    inference(resolution,[],[f3692,f309]) ).

fof(f3831,plain,
    ( $false
    | ~ spl16_89
    | ~ spl16_120 ),
    inference(forward_subsumption_resolution,[],[f3825,f141]) ).

fof(f3832,plain,
    ( ~ spl16_89
    | ~ spl16_120 ),
    inference(avatar_contradiction_clause,[],[f3831]) ).

fof(f3836,plain,
    ( tptp3 = tptp2
    | ~ spl16_3
    | ~ spl16_89
    | ~ spl16_121 ),
    inference(resolution,[],[f3780,f418]) ).

fof(f3842,plain,
    ( $false
    | ~ spl16_3
    | ~ spl16_89
    | ~ spl16_121 ),
    inference(forward_subsumption_resolution,[],[f3836,f140]) ).

fof(f3843,plain,
    ( ~ spl16_3
    | ~ spl16_89
    | ~ spl16_121 ),
    inference(avatar_contradiction_clause,[],[f3842]) ).

fof(f3844,plain,
    ( tptp1 = sK11(sK4(sK0))
    | ~ spl16_4 ),
    inference(resolution,[],[f415,f218]) ).

fof(f3849,plain,
    ( tptp3 = tptp1
    | ~ spl16_4
    | ~ spl16_89
    | ~ spl16_121 ),
    inference(forward_demodulation,[],[f3844,f3782]) ).

fof(f3850,plain,
    ( $false
    | ~ spl16_4
    | ~ spl16_89
    | ~ spl16_121 ),
    inference(forward_subsumption_resolution,[],[f3849,f139]) ).

fof(f3851,plain,
    ( ~ spl16_4
    | ~ spl16_89
    | ~ spl16_121 ),
    inference(avatar_contradiction_clause,[],[f3850]) ).

cnf(s2,plain,
    ( spl16_3
    | spl16_4 ),
    inference(sat_conversion,[],[f416]) ).

cnf(s31,plain,
    ~ spl16_21,
    inference(sat_conversion,[],[f1408]) ).

cnf(s64,plain,
    ~ spl16_81,
    inference(sat_conversion,[],[f2491]) ).

cnf(s65,plain,
    ( spl16_81
    | spl16_89 ),
    inference(sat_conversion,[],[f2495]) ).

cnf(s69,plain,
    ( spl16_81
    | spl16_91 ),
    inference(sat_conversion,[],[f2616]) ).

cnf(s95,plain,
    ( spl16_21
    | ~ spl16_91
    | spl16_120
    | spl16_121 ),
    inference(sat_conversion,[],[f3614]) ).

cnf(s105,plain,
    ( ~ spl16_89
    | ~ spl16_120 ),
    inference(sat_conversion,[],[f3832]) ).

cnf(s108,plain,
    ( ~ spl16_3
    | ~ spl16_89
    | ~ spl16_121 ),
    inference(sat_conversion,[],[f3843]) ).

cnf(s109,plain,
    ( ~ spl16_4
    | ~ spl16_89
    | ~ spl16_121 ),
    inference(sat_conversion,[],[f3851]) ).

cnf(s118,plain,
    spl16_91,
    inference(rat,[],[s69,s64]) ).

cnf(s119,plain,
    spl16_89,
    inference(rat,[],[s65,s64]) ).

cnf(s120,plain,
    ~ spl16_120,
    inference(rat,[],[s105,s119]) ).

cnf(s137,plain,
    spl16_121,
    inference(rat,[],[s95,s120,s118,s31]) ).

cnf(s138,plain,
    ~ spl16_4,
    inference(rat,[],[s109,s119,s137]) ).

cnf(s139,plain,
    ~ spl16_3,
    inference(rat,[],[s108,s119,s137]) ).

cnf(s148,plain,
    $false,
    inference(rat,[],[s2,s138,s139]) ).

fof(f3852,plain,
    $false,
    inference(avatar_sat_refutation,[],[s148]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : PRO017+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n016.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 27 22:29:47 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.84/1.64  % (3055111)Detected formulas, will run a generic FOF schedule.
% 4.84/1.64  % (3055118)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3314707325:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.84/1.64  % (3055116)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2456565555:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.84/1.64  % (3055117)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3441525261:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.84/1.64  % (3055120)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1567573202:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.84/1.64  % (3055119)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2349206747:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.84/1.64  % (3055122)dis-21_1_sil=8000:lcm=predicate:random_seed=2975735746:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.84/1.64  % (3055121)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2289416465:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.84/1.64  % (3055119)Refutation not found, incomplete strategy
% 4.84/1.64  % (3055119)------------------------------
% 4.84/1.64  % (3055119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.84/1.64  % (3055119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/1.64  % (3055119)CaDiCaL version: 2.1.3
% 4.84/1.64  % (3055119)Termination reason: Refutation not found, incomplete strategy
% 4.84/1.64  % (3055119)Time elapsed: 0.004 s
% 4.84/1.64  % (3055119)Peak memory usage: 88 MB
% 4.84/1.64  % (3055119)Instructions burned: 5 (million)
% 4.84/1.64  % (3055122)Instruction limit reached! 
% 4.84/1.64  % (3055122)------------------------------
% 4.84/1.64  % (3055122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.84/1.64  % (3055122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/1.64  % (3055122)CaDiCaL version: 2.1.3
% 4.84/1.64  % (3055122)Termination reason: Instruction limit
% 4.84/1.64  % (3055122)Termination phase: Saturation
% 4.84/1.64  % (3055122)Time elapsed: 0.068 s
% 4.84/1.64  % (3055122)Peak memory usage: 88 MB
% 4.84/1.64  % (3055122)Instructions burned: 130 (million)
% 4.84/1.64  % (3055120)Instruction limit reached! 
% 4.84/1.64  % (3055120)------------------------------
% 4.84/1.64  % (3055120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.84/1.64  % (3055120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/1.64  % (3055120)CaDiCaL version: 2.1.3
% 4.84/1.64  % (3055120)Termination reason: Instruction limit
% 4.84/1.64  % (3055120)Termination phase: Saturation
% 4.84/1.64  % (3055120)Time elapsed: 0.072 s
% 4.84/1.64  % (3055120)Peak memory usage: 88 MB
% 4.84/1.64  % (3055120)Instructions burned: 119 (million)
% 4.84/1.64  % (3055121)Instruction limit reached! 
% 4.84/1.64  % (3055121)------------------------------
% 4.84/1.64  % (3055121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.84/1.64  % (3055121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/1.64  % (3055121)CaDiCaL version: 2.1.3
% 4.84/1.64  % (3055121)Termination reason: Instruction limit
% 4.84/1.64  % (3055121)Termination phase: Saturation
% 4.84/1.64  % (3055121)Time elapsed: 0.101 s
% 4.84/1.64  % (3055121)Peak memory usage: 90 MB
% 4.84/1.64  % (3055121)Instructions burned: 139 (million)
% 4.84/1.64  % (3055130)lrs+10_1_sil=8000:sp=occurrence:random_seed=2275768690:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.84/1.64  % (3055131)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2262285326:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.84/1.64  % (3055119)------------------------------
% 4.84/1.64  % (3055119)------------------------------
% 4.84/1.64  % (3055132)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3623562984:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.84/1.64  % (3055131)Instruction limit reached! 
% 4.84/1.64  % (3055131)------------------------------
% 4.84/1.64  % (3055131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.84/1.64  % (3055131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/1.64  % (3055131)CaDiCaL version: 2.1.3
% 4.84/1.64  % (3055131)Termination reason: Instruction limit
% 4.84/1.64  % (3055131)Termination phase: Saturation
% 4.84/1.64  % (3055131)Time elapsed: 0.082 s
% 4.84/1.64  % (3055131)Peak memory usage: 89 MB
% 4.84/1.64  % (3055131)Instructions burned: 159 (million)
% 4.84/1.64  % (3055130)First to succeed.
% 4.84/1.64  % (3055130)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3055111"
% 4.84/1.64  % (3055136)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3573344431:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.84/1.64  % (3055137)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2463603476:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.84/1.64  % (3055132)Instruction limit reached! 
% 4.84/1.64  % (3055132)------------------------------
% 4.84/1.64  % (3055132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.84/1.64  % (3055132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/1.64  % (3055132)CaDiCaL version: 2.1.3
% 4.84/1.64  % (3055132)Termination reason: Instruction limit
% 4.84/1.64  % (3055132)Termination phase: Saturation
% 4.84/1.64  % (3055132)Time elapsed: 0.218 s
% 4.84/1.64  % (3055132)Peak memory usage: 92 MB
% 4.84/1.64  % (3055132)Instructions burned: 326 (million)
% 4.84/1.64  % (3055137)Refutation not found, incomplete strategy
% 4.84/1.64  % (3055137)------------------------------
% 4.84/1.64  % (3055137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.84/1.64  % (3055137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/1.64  % (3055137)CaDiCaL version: 2.1.3
% 4.84/1.64  % (3055137)Termination reason: Refutation not found, incomplete strategy
% 4.84/1.64  % (3055137)Time elapsed: 0.043 s
% 4.84/1.64  % (3055137)Peak memory usage: 89 MB
% 4.84/1.64  % (3055137)Instructions burned: 67 (million)
% 4.84/1.64  % (3055118)Also succeeded, but the first one will report.
% 4.84/1.64  % (3055136)Instruction limit reached! 
% 4.84/1.64  % (3055136)------------------------------
% 4.84/1.64  % (3055136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.84/1.64  % (3055136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/1.64  % (3055136)CaDiCaL version: 2.1.3
% 4.84/1.64  % (3055136)Termination reason: Instruction limit
% 4.84/1.64  % (3055136)Termination phase: Saturation
% 4.84/1.64  % (3055136)Time elapsed: 0.139 s
% 4.84/1.64  % (3055136)Peak memory usage: 89 MB
% 4.84/1.64  % (3055136)Instructions burned: 248 (million)
% 4.84/1.64  % (3055130)Refutation found. Thanks to Tanya!
% 4.84/1.64  % SZS status Theorem for theBenchmark
% 4.84/1.64  % SZS output start Proof for theBenchmark
% See solution above
% 6.16/1.84  % (3055130)------------------------------
% 6.16/1.84  % (3055130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.84  % (3055130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.84  % (3055130)CaDiCaL version: 2.1.3
% 6.16/1.84  % (3055130)Termination reason: Refutation
% 6.16/1.84  % (3055130)Time elapsed: 0.132 s
% 6.16/1.84  % (3055130)Peak memory usage: 91 MB
% 6.16/1.84  % (3055130)Instructions burned: 206 (million)
% 6.16/1.84  % (3055130)------------------------------
% 6.16/1.84  % (3055130)------------------------------
% 6.16/1.84  % (3055111)Success in time 0.785 s
% 6.16/1.84  % Vampire exiting
%------------------------------------------------------------------------------