TSTP Solution File: PRO014+2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : PRO014+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.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 : Fri May  3 02:54:19 EDT 2024

% Result   : Theorem 7.02s 1.63s
% Output   : CNFRefutation 7.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   80 (  24 unt;   0 def)
%            Number of atoms       :  376 (   0 equ)
%            Maximal formula atoms :   20 (   4 avg)
%            Number of connectives :  475 ( 179   ~; 170   |; 114   &)
%                                         (   3 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-3 aty)
%            Number of variables   :  152 (   0 sgn  91   !;  33   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2,X3] :
      ( ( min_precedes(X1,X2,X3)
        & min_precedes(X0,X1,X3) )
     => min_precedes(X0,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).

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(f33,axiom,
    ! [X95,X96] :
      ( ( ~ leaf_occ(X95,X96)
        & arboreal(X95)
        & subactivity_occurrence(X95,X96)
        & occurrence_of(X96,tptp0) )
     => ? [X97,X98,X99] :
          ( leaf(X99,tptp0)
          & next_subocc(X98,X99,tptp0)
          & ( occurrence_of(X99,tptp1)
            | occurrence_of(X99,tptp2) )
          & next_subocc(X97,X98,tptp0)
          & occurrence_of(X98,tptp4)
          & next_subocc(X95,X97,tptp0)
          & occurrence_of(X97,tptp3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).

fof(f46,conjecture,
    ! [X100,X101] :
      ( ( ~ leaf_occ(X100,X101)
        & arboreal(X100)
        & subactivity_occurrence(X100,X101)
        & occurrence_of(X101,tptp0) )
     => ? [X102,X103] :
          ( leaf(X103,tptp0)
          & min_precedes(X102,X103,tptp0)
          & ( occurrence_of(X103,tptp1)
            | occurrence_of(X103,tptp2) )
          & next_subocc(X100,X102,tptp0)
          & occurrence_of(X102,tptp3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f47,negated_conjecture,
    ~ ! [X100,X101] :
        ( ( ~ leaf_occ(X100,X101)
          & arboreal(X100)
          & subactivity_occurrence(X100,X101)
          & occurrence_of(X101,tptp0) )
       => ? [X102,X103] :
            ( leaf(X103,tptp0)
            & min_precedes(X102,X103,tptp0)
            & ( occurrence_of(X103,tptp1)
              | occurrence_of(X103,tptp2) )
            & next_subocc(X100,X102,tptp0)
            & occurrence_of(X102,tptp3) ) ),
    inference(negated_conjecture,[],[f46]) ).

fof(f51,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(f79,plain,
    ! [X0,X1] :
      ( ( ~ leaf_occ(X0,X1)
        & arboreal(X0)
        & subactivity_occurrence(X0,X1)
        & occurrence_of(X1,tptp0) )
     => ? [X2,X3,X4] :
          ( leaf(X4,tptp0)
          & next_subocc(X3,X4,tptp0)
          & ( occurrence_of(X4,tptp1)
            | occurrence_of(X4,tptp2) )
          & next_subocc(X2,X3,tptp0)
          & occurrence_of(X3,tptp4)
          & next_subocc(X0,X2,tptp0)
          & occurrence_of(X2,tptp3) ) ),
    inference(rectify,[],[f33]) ).

fof(f80,plain,
    ~ ! [X0,X1] :
        ( ( ~ leaf_occ(X0,X1)
          & arboreal(X0)
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,tptp0) )
       => ? [X2,X3] :
            ( leaf(X3,tptp0)
            & min_precedes(X2,X3,tptp0)
            & ( occurrence_of(X3,tptp1)
              | occurrence_of(X3,tptp2) )
            & next_subocc(X0,X2,tptp0)
            & occurrence_of(X2,tptp3) ) ),
    inference(rectify,[],[f47]) ).

fof(f83,plain,
    ! [X0,X1,X2,X3] :
      ( min_precedes(X0,X2,X3)
      | ~ min_precedes(X1,X2,X3)
      | ~ min_precedes(X0,X1,X3) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f84,plain,
    ! [X0,X1,X2,X3] :
      ( min_precedes(X0,X2,X3)
      | ~ min_precedes(X1,X2,X3)
      | ~ min_precedes(X0,X1,X3) ),
    inference(flattening,[],[f83]) ).

fof(f91,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,[],[f51]) ).

fof(f125,plain,
    ! [X0,X1] :
      ( ? [X2,X3,X4] :
          ( leaf(X4,tptp0)
          & next_subocc(X3,X4,tptp0)
          & ( occurrence_of(X4,tptp1)
            | occurrence_of(X4,tptp2) )
          & next_subocc(X2,X3,tptp0)
          & occurrence_of(X3,tptp4)
          & next_subocc(X0,X2,tptp0)
          & occurrence_of(X2,tptp3) )
      | leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0) ),
    inference(ennf_transformation,[],[f79]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( ? [X2,X3,X4] :
          ( leaf(X4,tptp0)
          & next_subocc(X3,X4,tptp0)
          & ( occurrence_of(X4,tptp1)
            | occurrence_of(X4,tptp2) )
          & next_subocc(X2,X3,tptp0)
          & occurrence_of(X3,tptp4)
          & next_subocc(X0,X2,tptp0)
          & occurrence_of(X2,tptp3) )
      | leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0) ),
    inference(flattening,[],[f125]) ).

fof(f127,plain,
    ? [X0,X1] :
      ( ! [X2,X3] :
          ( ~ leaf(X3,tptp0)
          | ~ min_precedes(X2,X3,tptp0)
          | ( ~ occurrence_of(X3,tptp1)
            & ~ occurrence_of(X3,tptp2) )
          | ~ next_subocc(X0,X2,tptp0)
          | ~ occurrence_of(X2,tptp3) )
      & ~ leaf_occ(X0,X1)
      & arboreal(X0)
      & subactivity_occurrence(X0,X1)
      & occurrence_of(X1,tptp0) ),
    inference(ennf_transformation,[],[f80]) ).

fof(f128,plain,
    ? [X0,X1] :
      ( ! [X2,X3] :
          ( ~ leaf(X3,tptp0)
          | ~ min_precedes(X2,X3,tptp0)
          | ( ~ occurrence_of(X3,tptp1)
            & ~ occurrence_of(X3,tptp2) )
          | ~ next_subocc(X0,X2,tptp0)
          | ~ occurrence_of(X2,tptp3) )
      & ~ leaf_occ(X0,X1)
      & arboreal(X0)
      & subactivity_occurrence(X0,X1)
      & occurrence_of(X1,tptp0) ),
    inference(flattening,[],[f127]) ).

fof(f129,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) )
      & ( ( ! [X3] :
              ( ~ min_precedes(X3,X1,X2)
              | ~ min_precedes(X0,X3,X2) )
          & min_precedes(X0,X1,X2) )
        | ~ next_subocc(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f91]) ).

fof(f130,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) )
      & ( ( ! [X3] :
              ( ~ min_precedes(X3,X1,X2)
              | ~ min_precedes(X0,X3,X2) )
          & min_precedes(X0,X1,X2) )
        | ~ next_subocc(X0,X1,X2) ) ),
    inference(flattening,[],[f129]) ).

fof(f131,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) )
      & ( ( ! [X4] :
              ( ~ min_precedes(X4,X1,X2)
              | ~ min_precedes(X0,X4,X2) )
          & min_precedes(X0,X1,X2) )
        | ~ next_subocc(X0,X1,X2) ) ),
    inference(rectify,[],[f130]) ).

fof(f132,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( min_precedes(X3,X1,X2)
          & min_precedes(X0,X3,X2) )
     => ( min_precedes(sK0(X0,X1,X2),X1,X2)
        & min_precedes(X0,sK0(X0,X1,X2),X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f133,plain,
    ! [X0,X1,X2] :
      ( ( next_subocc(X0,X1,X2)
        | ( min_precedes(sK0(X0,X1,X2),X1,X2)
          & min_precedes(X0,sK0(X0,X1,X2),X2) )
        | ~ min_precedes(X0,X1,X2) )
      & ( ( ! [X4] :
              ( ~ min_precedes(X4,X1,X2)
              | ~ min_precedes(X0,X4,X2) )
          & min_precedes(X0,X1,X2) )
        | ~ next_subocc(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f131,f132]) ).

fof(f163,plain,
    ! [X0] :
      ( ? [X2,X3,X4] :
          ( leaf(X4,tptp0)
          & next_subocc(X3,X4,tptp0)
          & ( occurrence_of(X4,tptp1)
            | occurrence_of(X4,tptp2) )
          & next_subocc(X2,X3,tptp0)
          & occurrence_of(X3,tptp4)
          & next_subocc(X0,X2,tptp0)
          & occurrence_of(X2,tptp3) )
     => ( leaf(sK15(X0),tptp0)
        & next_subocc(sK14(X0),sK15(X0),tptp0)
        & ( occurrence_of(sK15(X0),tptp1)
          | occurrence_of(sK15(X0),tptp2) )
        & next_subocc(sK13(X0),sK14(X0),tptp0)
        & occurrence_of(sK14(X0),tptp4)
        & next_subocc(X0,sK13(X0),tptp0)
        & occurrence_of(sK13(X0),tptp3) ) ),
    introduced(choice_axiom,[]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( ( leaf(sK15(X0),tptp0)
        & next_subocc(sK14(X0),sK15(X0),tptp0)
        & ( occurrence_of(sK15(X0),tptp1)
          | occurrence_of(sK15(X0),tptp2) )
        & next_subocc(sK13(X0),sK14(X0),tptp0)
        & occurrence_of(sK14(X0),tptp4)
        & next_subocc(X0,sK13(X0),tptp0)
        & occurrence_of(sK13(X0),tptp3) )
      | leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15])],[f126,f163]) ).

fof(f165,plain,
    ( ? [X0,X1] :
        ( ! [X2,X3] :
            ( ~ leaf(X3,tptp0)
            | ~ min_precedes(X2,X3,tptp0)
            | ( ~ occurrence_of(X3,tptp1)
              & ~ occurrence_of(X3,tptp2) )
            | ~ next_subocc(X0,X2,tptp0)
            | ~ occurrence_of(X2,tptp3) )
        & ~ leaf_occ(X0,X1)
        & arboreal(X0)
        & subactivity_occurrence(X0,X1)
        & occurrence_of(X1,tptp0) )
   => ( ! [X3,X2] :
          ( ~ leaf(X3,tptp0)
          | ~ min_precedes(X2,X3,tptp0)
          | ( ~ occurrence_of(X3,tptp1)
            & ~ occurrence_of(X3,tptp2) )
          | ~ next_subocc(sK16,X2,tptp0)
          | ~ occurrence_of(X2,tptp3) )
      & ~ leaf_occ(sK16,sK17)
      & arboreal(sK16)
      & subactivity_occurrence(sK16,sK17)
      & occurrence_of(sK17,tptp0) ) ),
    introduced(choice_axiom,[]) ).

fof(f166,plain,
    ( ! [X2,X3] :
        ( ~ leaf(X3,tptp0)
        | ~ min_precedes(X2,X3,tptp0)
        | ( ~ occurrence_of(X3,tptp1)
          & ~ occurrence_of(X3,tptp2) )
        | ~ next_subocc(sK16,X2,tptp0)
        | ~ occurrence_of(X2,tptp3) )
    & ~ leaf_occ(sK16,sK17)
    & arboreal(sK16)
    & subactivity_occurrence(sK16,sK17)
    & occurrence_of(sK17,tptp0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f128,f165]) ).

fof(f167,plain,
    ! [X2,X3,X0,X1] :
      ( min_precedes(X0,X2,X3)
      | ~ min_precedes(X1,X2,X3)
      | ~ min_precedes(X0,X1,X3) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f171,plain,
    ! [X2,X0,X1] :
      ( min_precedes(X0,X1,X2)
      | ~ next_subocc(X0,X1,X2) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f226,plain,
    ! [X0,X1] :
      ( occurrence_of(sK13(X0),tptp3)
      | leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0) ),
    inference(cnf_transformation,[],[f164]) ).

fof(f227,plain,
    ! [X0,X1] :
      ( next_subocc(X0,sK13(X0),tptp0)
      | leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0) ),
    inference(cnf_transformation,[],[f164]) ).

fof(f229,plain,
    ! [X0,X1] :
      ( next_subocc(sK13(X0),sK14(X0),tptp0)
      | leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0) ),
    inference(cnf_transformation,[],[f164]) ).

fof(f230,plain,
    ! [X0,X1] :
      ( occurrence_of(sK15(X0),tptp1)
      | occurrence_of(sK15(X0),tptp2)
      | leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0) ),
    inference(cnf_transformation,[],[f164]) ).

fof(f231,plain,
    ! [X0,X1] :
      ( next_subocc(sK14(X0),sK15(X0),tptp0)
      | leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0) ),
    inference(cnf_transformation,[],[f164]) ).

fof(f232,plain,
    ! [X0,X1] :
      ( leaf(sK15(X0),tptp0)
      | leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0) ),
    inference(cnf_transformation,[],[f164]) ).

fof(f245,plain,
    occurrence_of(sK17,tptp0),
    inference(cnf_transformation,[],[f166]) ).

fof(f246,plain,
    subactivity_occurrence(sK16,sK17),
    inference(cnf_transformation,[],[f166]) ).

fof(f247,plain,
    arboreal(sK16),
    inference(cnf_transformation,[],[f166]) ).

fof(f248,plain,
    ~ leaf_occ(sK16,sK17),
    inference(cnf_transformation,[],[f166]) ).

fof(f249,plain,
    ! [X2,X3] :
      ( ~ leaf(X3,tptp0)
      | ~ min_precedes(X2,X3,tptp0)
      | ~ occurrence_of(X3,tptp2)
      | ~ next_subocc(sK16,X2,tptp0)
      | ~ occurrence_of(X2,tptp3) ),
    inference(cnf_transformation,[],[f166]) ).

fof(f250,plain,
    ! [X2,X3] :
      ( ~ leaf(X3,tptp0)
      | ~ min_precedes(X2,X3,tptp0)
      | ~ occurrence_of(X3,tptp1)
      | ~ next_subocc(sK16,X2,tptp0)
      | ~ occurrence_of(X2,tptp3) ),
    inference(cnf_transformation,[],[f166]) ).

cnf(c_49,plain,
    ( ~ min_precedes(X0,X1,X2)
    | ~ min_precedes(X1,X3,X2)
    | min_precedes(X0,X3,X2) ),
    inference(cnf_transformation,[],[f167]) ).

cnf(c_56,plain,
    ( ~ next_subocc(X0,X1,X2)
    | min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f171]) ).

cnf(c_108,plain,
    ( ~ subactivity_occurrence(X0,X1)
    | ~ occurrence_of(X1,tptp0)
    | ~ arboreal(X0)
    | leaf(sK15(X0),tptp0)
    | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f232]) ).

cnf(c_109,plain,
    ( ~ subactivity_occurrence(X0,X1)
    | ~ occurrence_of(X1,tptp0)
    | ~ arboreal(X0)
    | next_subocc(sK14(X0),sK15(X0),tptp0)
    | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f231]) ).

cnf(c_110,plain,
    ( ~ subactivity_occurrence(X0,X1)
    | ~ occurrence_of(X1,tptp0)
    | ~ arboreal(X0)
    | occurrence_of(sK15(X0),tptp1)
    | occurrence_of(sK15(X0),tptp2)
    | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f230]) ).

cnf(c_111,plain,
    ( ~ subactivity_occurrence(X0,X1)
    | ~ occurrence_of(X1,tptp0)
    | ~ arboreal(X0)
    | next_subocc(sK13(X0),sK14(X0),tptp0)
    | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f229]) ).

cnf(c_113,plain,
    ( ~ subactivity_occurrence(X0,X1)
    | ~ occurrence_of(X1,tptp0)
    | ~ arboreal(X0)
    | next_subocc(X0,sK13(X0),tptp0)
    | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f227]) ).

cnf(c_114,plain,
    ( ~ subactivity_occurrence(X0,X1)
    | ~ occurrence_of(X1,tptp0)
    | ~ arboreal(X0)
    | occurrence_of(sK13(X0),tptp3)
    | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f226]) ).

cnf(c_127,negated_conjecture,
    ( ~ min_precedes(X0,X1,tptp0)
    | ~ next_subocc(sK16,X0,tptp0)
    | ~ occurrence_of(X0,tptp3)
    | ~ occurrence_of(X1,tptp1)
    | ~ leaf(X1,tptp0) ),
    inference(cnf_transformation,[],[f250]) ).

cnf(c_128,negated_conjecture,
    ( ~ min_precedes(X0,X1,tptp0)
    | ~ next_subocc(sK16,X0,tptp0)
    | ~ occurrence_of(X0,tptp3)
    | ~ occurrence_of(X1,tptp2)
    | ~ leaf(X1,tptp0) ),
    inference(cnf_transformation,[],[f249]) ).

cnf(c_129,negated_conjecture,
    ~ leaf_occ(sK16,sK17),
    inference(cnf_transformation,[],[f248]) ).

cnf(c_130,negated_conjecture,
    arboreal(sK16),
    inference(cnf_transformation,[],[f247]) ).

cnf(c_131,negated_conjecture,
    subactivity_occurrence(sK16,sK17),
    inference(cnf_transformation,[],[f246]) ).

cnf(c_132,negated_conjecture,
    occurrence_of(sK17,tptp0),
    inference(cnf_transformation,[],[f245]) ).

cnf(c_7072,negated_conjecture,
    occurrence_of(sK17,tptp0),
    inference(demodulation,[status(thm)],[c_132]) ).

cnf(c_7073,negated_conjecture,
    subactivity_occurrence(sK16,sK17),
    inference(demodulation,[status(thm)],[c_131]) ).

cnf(c_7074,negated_conjecture,
    arboreal(sK16),
    inference(demodulation,[status(thm)],[c_130]) ).

cnf(c_7075,negated_conjecture,
    ~ leaf_occ(sK16,sK17),
    inference(demodulation,[status(thm)],[c_129]) ).

cnf(c_7076,negated_conjecture,
    ( ~ min_precedes(X0,X1,tptp0)
    | ~ next_subocc(sK16,X0,tptp0)
    | ~ occurrence_of(X0,tptp3)
    | ~ occurrence_of(X1,tptp2)
    | ~ leaf(X1,tptp0) ),
    inference(demodulation,[status(thm)],[c_128]) ).

cnf(c_7077,negated_conjecture,
    ( ~ min_precedes(X0,X1,tptp0)
    | ~ next_subocc(sK16,X0,tptp0)
    | ~ occurrence_of(X0,tptp3)
    | ~ occurrence_of(X1,tptp1)
    | ~ leaf(X1,tptp0) ),
    inference(demodulation,[status(thm)],[c_127]) ).

cnf(c_10153,plain,
    ( ~ occurrence_of(sK17,tptp0)
    | ~ subactivity_occurrence(sK16,sK17)
    | ~ arboreal(sK16)
    | leaf(sK15(sK16),tptp0) ),
    inference(superposition,[status(thm)],[c_108,c_7075]) ).

cnf(c_10161,plain,
    leaf(sK15(sK16),tptp0),
    inference(forward_subsumption_resolution,[status(thm)],[c_10153,c_7074,c_7073,c_7072]) ).

cnf(c_10325,plain,
    ( ~ occurrence_of(sK17,tptp0)
    | ~ subactivity_occurrence(sK16,sK17)
    | ~ arboreal(sK16)
    | occurrence_of(sK13(sK16),tptp3) ),
    inference(superposition,[status(thm)],[c_114,c_7075]) ).

cnf(c_10337,plain,
    occurrence_of(sK13(sK16),tptp3),
    inference(forward_subsumption_resolution,[status(thm)],[c_10325,c_7074,c_7073,c_7072]) ).

cnf(c_10724,plain,
    ( ~ occurrence_of(sK17,tptp0)
    | ~ subactivity_occurrence(sK16,sK17)
    | ~ arboreal(sK16)
    | next_subocc(sK16,sK13(sK16),tptp0) ),
    inference(superposition,[status(thm)],[c_113,c_7075]) ).

cnf(c_10730,plain,
    next_subocc(sK16,sK13(sK16),tptp0),
    inference(forward_subsumption_resolution,[status(thm)],[c_10724,c_7074,c_7073,c_7072]) ).

cnf(c_10841,plain,
    ( ~ occurrence_of(sK17,tptp0)
    | ~ subactivity_occurrence(sK16,sK17)
    | ~ arboreal(sK16)
    | next_subocc(sK14(sK16),sK15(sK16),tptp0) ),
    inference(superposition,[status(thm)],[c_109,c_7075]) ).

cnf(c_10852,plain,
    next_subocc(sK14(sK16),sK15(sK16),tptp0),
    inference(forward_subsumption_resolution,[status(thm)],[c_10841,c_7074,c_7073,c_7072]) ).

cnf(c_10931,plain,
    ( ~ occurrence_of(sK17,tptp0)
    | ~ subactivity_occurrence(sK16,sK17)
    | ~ arboreal(sK16)
    | next_subocc(sK13(sK16),sK14(sK16),tptp0) ),
    inference(superposition,[status(thm)],[c_111,c_7075]) ).

cnf(c_10937,plain,
    next_subocc(sK13(sK16),sK14(sK16),tptp0),
    inference(forward_subsumption_resolution,[status(thm)],[c_10931,c_7074,c_7073,c_7072]) ).

cnf(c_10990,plain,
    ( ~ occurrence_of(sK17,tptp0)
    | ~ subactivity_occurrence(sK16,sK17)
    | ~ arboreal(sK16)
    | occurrence_of(sK15(sK16),tptp1)
    | occurrence_of(sK15(sK16),tptp2) ),
    inference(superposition,[status(thm)],[c_110,c_7075]) ).

cnf(c_11002,plain,
    ( occurrence_of(sK15(sK16),tptp1)
    | occurrence_of(sK15(sK16),tptp2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10990,c_7074,c_7073,c_7072]) ).

cnf(c_11108,plain,
    min_precedes(sK14(sK16),sK15(sK16),tptp0),
    inference(superposition,[status(thm)],[c_10852,c_56]) ).

cnf(c_11111,plain,
    min_precedes(sK13(sK16),sK14(sK16),tptp0),
    inference(superposition,[status(thm)],[c_10937,c_56]) ).

cnf(c_12292,plain,
    ( ~ min_precedes(sK14(sK16),X0,tptp0)
    | min_precedes(sK13(sK16),X0,tptp0) ),
    inference(superposition,[status(thm)],[c_11111,c_49]) ).

cnf(c_21155,plain,
    min_precedes(sK13(sK16),sK15(sK16),tptp0),
    inference(superposition,[status(thm)],[c_11108,c_12292]) ).

cnf(c_21198,plain,
    ( ~ next_subocc(sK16,sK13(sK16),tptp0)
    | ~ occurrence_of(sK15(sK16),tptp1)
    | ~ occurrence_of(sK13(sK16),tptp3)
    | ~ leaf(sK15(sK16),tptp0) ),
    inference(superposition,[status(thm)],[c_21155,c_7077]) ).

cnf(c_21199,plain,
    ( ~ next_subocc(sK16,sK13(sK16),tptp0)
    | ~ occurrence_of(sK15(sK16),tptp2)
    | ~ occurrence_of(sK13(sK16),tptp3)
    | ~ leaf(sK15(sK16),tptp0) ),
    inference(superposition,[status(thm)],[c_21155,c_7076]) ).

cnf(c_21204,plain,
    ~ occurrence_of(sK15(sK16),tptp2),
    inference(forward_subsumption_resolution,[status(thm)],[c_21199,c_10161,c_10337,c_10730]) ).

cnf(c_21205,plain,
    ~ occurrence_of(sK15(sK16),tptp1),
    inference(forward_subsumption_resolution,[status(thm)],[c_21198,c_10161,c_10337,c_10730]) ).

cnf(c_21212,plain,
    occurrence_of(sK15(sK16),tptp1),
    inference(backward_subsumption_resolution,[status(thm)],[c_11002,c_21204]) ).

cnf(c_21213,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_21212,c_21205]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : PRO014+2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.13/0.33  % Computer : n023.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Thu May  2 23:53:24 EDT 2024
% 0.13/0.33  % CPUTime  : 
% 0.18/0.44  Running first-order theorem proving
% 0.18/0.44  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.02/1.63  % SZS status Started for theBenchmark.p
% 7.02/1.63  % SZS status Theorem for theBenchmark.p
% 7.02/1.63  
% 7.02/1.63  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.02/1.63  
% 7.02/1.63  ------  iProver source info
% 7.02/1.63  
% 7.02/1.63  git: date: 2024-05-02 19:28:25 +0000
% 7.02/1.63  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.02/1.63  git: non_committed_changes: false
% 7.02/1.63  
% 7.02/1.63  ------ Parsing...
% 7.02/1.63  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 7.02/1.63  
% 7.02/1.63  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 7.02/1.63  
% 7.02/1.63  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.02/1.63  
% 7.02/1.63  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.02/1.63  ------ Proving...
% 7.02/1.63  ------ Problem Properties 
% 7.02/1.63  
% 7.02/1.63  
% 7.02/1.63  clauses                                 83
% 7.02/1.63  conjectures                             6
% 7.02/1.63  EPR                                     49
% 7.02/1.63  Horn                                    63
% 7.02/1.63  unary                                   16
% 7.02/1.63  binary                                  32
% 7.02/1.63  lits                                    215
% 7.02/1.63  lits eq                                 10
% 7.02/1.63  fd_pure                                 0
% 7.02/1.63  fd_pseudo                               0
% 7.02/1.63  fd_cond                                 0
% 7.02/1.63  fd_pseudo_cond                          4
% 7.02/1.63  AC symbols                              0
% 7.02/1.63  
% 7.02/1.63  ------ Schedule dynamic 5 is on 
% 7.02/1.63  
% 7.02/1.63  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.02/1.63  
% 7.02/1.63  
% 7.02/1.63  ------ 
% 7.02/1.63  Current options:
% 7.02/1.63  ------ 
% 7.02/1.63  
% 7.02/1.63  
% 7.02/1.63  
% 7.02/1.63  
% 7.02/1.63  ------ Proving...
% 7.02/1.63  
% 7.02/1.63  
% 7.02/1.63  % SZS status Theorem for theBenchmark.p
% 7.02/1.63  
% 7.02/1.63  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.38/1.63  
% 7.38/1.64  
%------------------------------------------------------------------------------