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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : PRO016+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Mon Jul 18 17:45:05 EDT 2022

% Result   : Theorem 0.25s 6.73s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  108 (  22 unt;   0 def)
%            Number of atoms       :  543 (  53 equ)
%            Maximal formula atoms :  130 (   5 avg)
%            Number of connectives :  680 ( 245   ~; 339   |;  80   &)
%                                         (   2 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   7 con; 0-3 aty)
%            Number of variables   :  155 (   6 sgn  67   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(goals,conjecture,
    ! [X107,X108] :
      ( ( occurrence_of(X108,tptp0)
        & subactivity_occurrence(X107,X108)
        & arboreal(X107)
        & ~ leaf_occ(X107,X108) )
     => ? [X109,X110] :
          ( occurrence_of(X109,tptp3)
          & next_subocc(X107,X109,tptp0)
          & ( occurrence_of(X110,tptp1)
            | occurrence_of(X110,tptp2) )
          & min_precedes(X109,X110,tptp0)
          & leaf_occ(X110,X108)
          & ( occurrence_of(X110,tptp1)
           => ~ ? [X111] :
                  ( occurrence_of(X111,tptp2)
                  & min_precedes(X109,X111,tptp0) ) )
          & ( occurrence_of(X110,tptp2)
           => ~ ? [X112] :
                  ( occurrence_of(X112,tptp1)
                  & min_precedes(X109,X112,tptp0) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',goals) ).

fof(sos_32,axiom,
    ! [X102,X103] :
      ( ( occurrence_of(X103,tptp0)
        & subactivity_occurrence(X102,X103)
        & arboreal(X102)
        & ~ leaf_occ(X102,X103) )
     => ? [X104,X105,X106] :
          ( occurrence_of(X104,tptp3)
          & next_subocc(X102,X104,tptp0)
          & occurrence_of(X105,tptp4)
          & next_subocc(X104,X105,tptp0)
          & ( occurrence_of(X106,tptp1)
            | occurrence_of(X106,tptp2) )
          & next_subocc(X105,X106,tptp0)
          & leaf_occ(X106,X103) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_32) ).

fof(sos_02,axiom,
    ! [X9,X10,X11,X12] :
      ( ( occurrence_of(X10,X9)
        & subactivity_occurrence(X11,X10)
        & leaf_occ(X12,X10)
        & arboreal(X11)
        & ~ min_precedes(X11,X12,X9) )
     => X12 = X11 ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_02) ).

fof(sos_26,axiom,
    ! [X79,X80,X81] :
      ( next_subocc(X79,X80,X81)
    <=> ( min_precedes(X79,X80,X81)
        & ~ ? [X82] :
              ( min_precedes(X79,X82,X81)
              & min_precedes(X82,X80,X81) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_26) ).

fof(sos_06,axiom,
    ! [X22,X23,X24] :
      ( min_precedes(X23,X24,X22)
     => ? [X25] :
          ( occurrence_of(X25,X22)
          & subactivity_occurrence(X23,X25)
          & subactivity_occurrence(X24,X25) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_06) ).

fof(sos_25,axiom,
    ! [X76,X77,X78] :
      ( next_subocc(X76,X77,X78)
     => ( arboreal(X76)
        & arboreal(X77) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_25) ).

fof(sos_09,axiom,
    ! [X32,X33,X34] :
      ( ( occurrence_of(X32,X34)
        & leaf_occ(X33,X32) )
     => ~ ? [X35] : min_precedes(X33,X35,X34) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_09) ).

fof(sos_27,axiom,
    ! [X83,X84,X85,X86] :
      ( ( min_precedes(X83,X84,X85)
        & occurrence_of(X86,X85)
        & subactivity_occurrence(X84,X86) )
     => subactivity_occurrence(X83,X86) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_27) ).

fof(sos_16,axiom,
    ! [X52,X53] :
      ( occurrence_of(X52,X53)
     => ( arboreal(X52)
      <=> atomic(X53) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_16) ).

fof(sos_35,axiom,
    atomic(tptp4),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_35) ).

fof(sos_28,axiom,
    ! [X87,X88,X89,X90] :
      ( ( occurrence_of(X89,X90)
        & ~ atomic(X90)
        & leaf_occ(X87,X89)
        & leaf_occ(X88,X89) )
     => X87 = X88 ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_28) ).

fof(sos_34,axiom,
    ~ atomic(tptp0),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_34) ).

fof(sos_38,axiom,
    atomic(tptp3),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_38) ).

fof(c_0_13,negated_conjecture,
    ~ ! [X107,X108] :
        ( ( occurrence_of(X108,tptp0)
          & subactivity_occurrence(X107,X108)
          & arboreal(X107)
          & ~ leaf_occ(X107,X108) )
       => ? [X109,X110] :
            ( occurrence_of(X109,tptp3)
            & next_subocc(X107,X109,tptp0)
            & ( occurrence_of(X110,tptp1)
              | occurrence_of(X110,tptp2) )
            & min_precedes(X109,X110,tptp0)
            & leaf_occ(X110,X108)
            & ( occurrence_of(X110,tptp1)
             => ~ ? [X111] :
                    ( occurrence_of(X111,tptp2)
                    & min_precedes(X109,X111,tptp0) ) )
            & ( occurrence_of(X110,tptp2)
             => ~ ? [X112] :
                    ( occurrence_of(X112,tptp1)
                    & min_precedes(X109,X112,tptp0) ) ) ) ),
    inference(assume_negation,[status(cth)],[goals]) ).

fof(c_0_14,plain,
    ! [X107,X108] :
      ( ( occurrence_of(esk5_2(X107,X108),tptp3)
        | ~ occurrence_of(X108,tptp0)
        | ~ subactivity_occurrence(X107,X108)
        | ~ arboreal(X107)
        | leaf_occ(X107,X108) )
      & ( next_subocc(X107,esk5_2(X107,X108),tptp0)
        | ~ occurrence_of(X108,tptp0)
        | ~ subactivity_occurrence(X107,X108)
        | ~ arboreal(X107)
        | leaf_occ(X107,X108) )
      & ( occurrence_of(esk6_2(X107,X108),tptp4)
        | ~ occurrence_of(X108,tptp0)
        | ~ subactivity_occurrence(X107,X108)
        | ~ arboreal(X107)
        | leaf_occ(X107,X108) )
      & ( next_subocc(esk5_2(X107,X108),esk6_2(X107,X108),tptp0)
        | ~ occurrence_of(X108,tptp0)
        | ~ subactivity_occurrence(X107,X108)
        | ~ arboreal(X107)
        | leaf_occ(X107,X108) )
      & ( occurrence_of(esk7_2(X107,X108),tptp1)
        | occurrence_of(esk7_2(X107,X108),tptp2)
        | ~ occurrence_of(X108,tptp0)
        | ~ subactivity_occurrence(X107,X108)
        | ~ arboreal(X107)
        | leaf_occ(X107,X108) )
      & ( next_subocc(esk6_2(X107,X108),esk7_2(X107,X108),tptp0)
        | ~ occurrence_of(X108,tptp0)
        | ~ subactivity_occurrence(X107,X108)
        | ~ arboreal(X107)
        | leaf_occ(X107,X108) )
      & ( leaf_occ(esk7_2(X107,X108),X108)
        | ~ occurrence_of(X108,tptp0)
        | ~ subactivity_occurrence(X107,X108)
        | ~ arboreal(X107)
        | leaf_occ(X107,X108) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[sos_32])])])])])])]) ).

fof(c_0_15,negated_conjecture,
    ! [X115,X116] :
      ( occurrence_of(esk2_0,tptp0)
      & subactivity_occurrence(esk1_0,esk2_0)
      & arboreal(esk1_0)
      & ~ leaf_occ(esk1_0,esk2_0)
      & ( occurrence_of(X116,tptp2)
        | occurrence_of(X116,tptp1)
        | ~ occurrence_of(X116,tptp1)
        | ~ occurrence_of(X115,tptp3)
        | ~ next_subocc(esk1_0,X115,tptp0)
        | ~ min_precedes(X115,X116,tptp0)
        | ~ leaf_occ(X116,esk2_0) )
      & ( occurrence_of(esk4_2(X115,X116),tptp1)
        | occurrence_of(X116,tptp1)
        | ~ occurrence_of(X116,tptp1)
        | ~ occurrence_of(X115,tptp3)
        | ~ next_subocc(esk1_0,X115,tptp0)
        | ~ min_precedes(X115,X116,tptp0)
        | ~ leaf_occ(X116,esk2_0) )
      & ( min_precedes(X115,esk4_2(X115,X116),tptp0)
        | occurrence_of(X116,tptp1)
        | ~ occurrence_of(X116,tptp1)
        | ~ occurrence_of(X115,tptp3)
        | ~ next_subocc(esk1_0,X115,tptp0)
        | ~ min_precedes(X115,X116,tptp0)
        | ~ leaf_occ(X116,esk2_0) )
      & ( occurrence_of(X116,tptp2)
        | occurrence_of(esk3_2(X115,X116),tptp2)
        | ~ occurrence_of(X116,tptp1)
        | ~ occurrence_of(X115,tptp3)
        | ~ next_subocc(esk1_0,X115,tptp0)
        | ~ min_precedes(X115,X116,tptp0)
        | ~ leaf_occ(X116,esk2_0) )
      & ( occurrence_of(esk4_2(X115,X116),tptp1)
        | occurrence_of(esk3_2(X115,X116),tptp2)
        | ~ occurrence_of(X116,tptp1)
        | ~ occurrence_of(X115,tptp3)
        | ~ next_subocc(esk1_0,X115,tptp0)
        | ~ min_precedes(X115,X116,tptp0)
        | ~ leaf_occ(X116,esk2_0) )
      & ( min_precedes(X115,esk4_2(X115,X116),tptp0)
        | occurrence_of(esk3_2(X115,X116),tptp2)
        | ~ occurrence_of(X116,tptp1)
        | ~ occurrence_of(X115,tptp3)
        | ~ next_subocc(esk1_0,X115,tptp0)
        | ~ min_precedes(X115,X116,tptp0)
        | ~ leaf_occ(X116,esk2_0) )
      & ( occurrence_of(X116,tptp2)
        | min_precedes(X115,esk3_2(X115,X116),tptp0)
        | ~ occurrence_of(X116,tptp1)
        | ~ occurrence_of(X115,tptp3)
        | ~ next_subocc(esk1_0,X115,tptp0)
        | ~ min_precedes(X115,X116,tptp0)
        | ~ leaf_occ(X116,esk2_0) )
      & ( occurrence_of(esk4_2(X115,X116),tptp1)
        | min_precedes(X115,esk3_2(X115,X116),tptp0)
        | ~ occurrence_of(X116,tptp1)
        | ~ occurrence_of(X115,tptp3)
        | ~ next_subocc(esk1_0,X115,tptp0)
        | ~ min_precedes(X115,X116,tptp0)
        | ~ leaf_occ(X116,esk2_0) )
      & ( min_precedes(X115,esk4_2(X115,X116),tptp0)
        | min_precedes(X115,esk3_2(X115,X116),tptp0)
        | ~ occurrence_of(X116,tptp1)
        | ~ occurrence_of(X115,tptp3)
        | ~ next_subocc(esk1_0,X115,tptp0)
        | ~ min_precedes(X115,X116,tptp0)
        | ~ leaf_occ(X116,esk2_0) )
      & ( occurrence_of(X116,tptp2)
        | occurrence_of(X116,tptp1)
        | ~ occurrence_of(X116,tptp2)
        | ~ occurrence_of(X115,tptp3)
        | ~ next_subocc(esk1_0,X115,tptp0)
        | ~ min_precedes(X115,X116,tptp0)
        | ~ leaf_occ(X116,esk2_0) )
      & ( occurrence_of(esk4_2(X115,X116),tptp1)
        | occurrence_of(X116,tptp1)
        | ~ occurrence_of(X116,tptp2)
        | ~ occurrence_of(X115,tptp3)
        | ~ next_subocc(esk1_0,X115,tptp0)
        | ~ min_precedes(X115,X116,tptp0)
        | ~ leaf_occ(X116,esk2_0) )
      & ( min_precedes(X115,esk4_2(X115,X116),tptp0)
        | occurrence_of(X116,tptp1)
        | ~ occurrence_of(X116,tptp2)
        | ~ occurrence_of(X115,tptp3)
        | ~ next_subocc(esk1_0,X115,tptp0)
        | ~ min_precedes(X115,X116,tptp0)
        | ~ leaf_occ(X116,esk2_0) )
      & ( occurrence_of(X116,tptp2)
        | occurrence_of(esk3_2(X115,X116),tptp2)
        | ~ occurrence_of(X116,tptp2)
        | ~ occurrence_of(X115,tptp3)
        | ~ next_subocc(esk1_0,X115,tptp0)
        | ~ min_precedes(X115,X116,tptp0)
        | ~ leaf_occ(X116,esk2_0) )
      & ( occurrence_of(esk4_2(X115,X116),tptp1)
        | occurrence_of(esk3_2(X115,X116),tptp2)
        | ~ occurrence_of(X116,tptp2)
        | ~ occurrence_of(X115,tptp3)
        | ~ next_subocc(esk1_0,X115,tptp0)
        | ~ min_precedes(X115,X116,tptp0)
        | ~ leaf_occ(X116,esk2_0) )
      & ( min_precedes(X115,esk4_2(X115,X116),tptp0)
        | occurrence_of(esk3_2(X115,X116),tptp2)
        | ~ occurrence_of(X116,tptp2)
        | ~ occurrence_of(X115,tptp3)
        | ~ next_subocc(esk1_0,X115,tptp0)
        | ~ min_precedes(X115,X116,tptp0)
        | ~ leaf_occ(X116,esk2_0) )
      & ( occurrence_of(X116,tptp2)
        | min_precedes(X115,esk3_2(X115,X116),tptp0)
        | ~ occurrence_of(X116,tptp2)
        | ~ occurrence_of(X115,tptp3)
        | ~ next_subocc(esk1_0,X115,tptp0)
        | ~ min_precedes(X115,X116,tptp0)
        | ~ leaf_occ(X116,esk2_0) )
      & ( occurrence_of(esk4_2(X115,X116),tptp1)
        | min_precedes(X115,esk3_2(X115,X116),tptp0)
        | ~ occurrence_of(X116,tptp2)
        | ~ occurrence_of(X115,tptp3)
        | ~ next_subocc(esk1_0,X115,tptp0)
        | ~ min_precedes(X115,X116,tptp0)
        | ~ leaf_occ(X116,esk2_0) )
      & ( min_precedes(X115,esk4_2(X115,X116),tptp0)
        | min_precedes(X115,esk3_2(X115,X116),tptp0)
        | ~ occurrence_of(X116,tptp2)
        | ~ occurrence_of(X115,tptp3)
        | ~ next_subocc(esk1_0,X115,tptp0)
        | ~ min_precedes(X115,X116,tptp0)
        | ~ leaf_occ(X116,esk2_0) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_13])])])])])])])]) ).

cnf(c_0_16,plain,
    ( leaf_occ(X1,X2)
    | leaf_occ(esk7_2(X1,X2),X2)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_17,negated_conjecture,
    occurrence_of(esk2_0,tptp0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_18,plain,
    ! [X13,X14,X15,X16] :
      ( ~ occurrence_of(X14,X13)
      | ~ subactivity_occurrence(X15,X14)
      | ~ leaf_occ(X16,X14)
      | ~ arboreal(X15)
      | min_precedes(X15,X16,X13)
      | X16 = X15 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[sos_02])])]) ).

cnf(c_0_19,negated_conjecture,
    ( leaf_occ(esk7_2(X1,esk2_0),esk2_0)
    | leaf_occ(X1,esk2_0)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_20,negated_conjecture,
    subactivity_occurrence(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_21,negated_conjecture,
    arboreal(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_22,negated_conjecture,
    ~ leaf_occ(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_23,plain,
    ( leaf_occ(X1,X2)
    | next_subocc(esk6_2(X1,X2),esk7_2(X1,X2),tptp0)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_24,plain,
    ( X1 = X2
    | min_precedes(X2,X1,X3)
    | ~ arboreal(X2)
    | ~ leaf_occ(X1,X4)
    | ~ subactivity_occurrence(X2,X4)
    | ~ occurrence_of(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_25,negated_conjecture,
    leaf_occ(esk7_2(esk1_0,esk2_0),esk2_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),c_0_22]) ).

fof(c_0_26,plain,
    ! [X83,X84,X85,X86,X83,X84,X85] :
      ( ( min_precedes(X83,X84,X85)
        | ~ next_subocc(X83,X84,X85) )
      & ( ~ min_precedes(X83,X86,X85)
        | ~ min_precedes(X86,X84,X85)
        | ~ next_subocc(X83,X84,X85) )
      & ( min_precedes(X83,esk8_3(X83,X84,X85),X85)
        | ~ min_precedes(X83,X84,X85)
        | next_subocc(X83,X84,X85) )
      & ( min_precedes(esk8_3(X83,X84,X85),X84,X85)
        | ~ min_precedes(X83,X84,X85)
        | next_subocc(X83,X84,X85) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_26])])])])])])]) ).

cnf(c_0_27,negated_conjecture,
    ( next_subocc(esk6_2(X1,esk2_0),esk7_2(X1,esk2_0),tptp0)
    | leaf_occ(X1,esk2_0)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_23,c_0_17]) ).

cnf(c_0_28,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = X1
    | min_precedes(X1,esk7_2(esk1_0,esk2_0),X2)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,esk2_0)
    | ~ occurrence_of(esk2_0,X2) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

fof(c_0_29,plain,
    ! [X26,X27,X28] :
      ( ( occurrence_of(esk9_3(X26,X27,X28),X26)
        | ~ min_precedes(X27,X28,X26) )
      & ( subactivity_occurrence(X27,esk9_3(X26,X27,X28))
        | ~ min_precedes(X27,X28,X26) )
      & ( subactivity_occurrence(X28,esk9_3(X26,X27,X28))
        | ~ min_precedes(X27,X28,X26) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_06])])])])])]) ).

cnf(c_0_30,plain,
    ( min_precedes(X1,X2,X3)
    | ~ next_subocc(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_31,negated_conjecture,
    next_subocc(esk6_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0),tptp0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_20]),c_0_21])]),c_0_22]) ).

cnf(c_0_32,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | min_precedes(esk1_0,esk7_2(esk1_0,esk2_0),X1)
    | ~ occurrence_of(esk2_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_20]),c_0_21])]) ).

cnf(c_0_33,plain,
    ( occurrence_of(esk9_3(X3,X1,X2),X3)
    | ~ min_precedes(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_34,negated_conjecture,
    min_precedes(esk6_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0),tptp0),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

fof(c_0_35,plain,
    ! [X79,X80,X81] :
      ( ( arboreal(X79)
        | ~ next_subocc(X79,X80,X81) )
      & ( arboreal(X80)
        | ~ next_subocc(X79,X80,X81) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_25])])])])]) ).

cnf(c_0_36,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | min_precedes(esk1_0,esk7_2(esk1_0,esk2_0),tptp0) ),
    inference(spm,[status(thm)],[c_0_32,c_0_17]) ).

cnf(c_0_37,plain,
    ( leaf_occ(X1,X2)
    | next_subocc(X1,esk5_2(X1,X2),tptp0)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_38,negated_conjecture,
    occurrence_of(esk9_3(tptp0,esk6_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0)),tptp0),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_39,plain,
    ( subactivity_occurrence(X2,esk9_3(X3,X1,X2))
    | ~ min_precedes(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_40,plain,
    ( arboreal(X2)
    | ~ next_subocc(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_41,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | occurrence_of(esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)),tptp0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_36]) ).

cnf(c_0_42,negated_conjecture,
    ( next_subocc(X1,esk5_2(X1,esk9_3(tptp0,esk6_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0))),tptp0)
    | leaf_occ(X1,esk9_3(tptp0,esk6_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0)))
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,esk9_3(tptp0,esk6_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0))) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_43,negated_conjecture,
    subactivity_occurrence(esk7_2(esk1_0,esk2_0),esk9_3(tptp0,esk6_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0))),
    inference(spm,[status(thm)],[c_0_39,c_0_34]) ).

cnf(c_0_44,negated_conjecture,
    arboreal(esk7_2(esk1_0,esk2_0)),
    inference(spm,[status(thm)],[c_0_40,c_0_31]) ).

cnf(c_0_45,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | next_subocc(X1,esk5_2(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),tptp0)
    | leaf_occ(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) ),
    inference(spm,[status(thm)],[c_0_37,c_0_41]) ).

cnf(c_0_46,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | subactivity_occurrence(esk7_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) ),
    inference(spm,[status(thm)],[c_0_39,c_0_36]) ).

fof(c_0_47,plain,
    ! [X36,X37,X38,X39] :
      ( ~ occurrence_of(X36,X38)
      | ~ leaf_occ(X37,X36)
      | ~ min_precedes(X37,X39,X38) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_09])])])])]) ).

cnf(c_0_48,negated_conjecture,
    ( next_subocc(esk7_2(esk1_0,esk2_0),esk5_2(esk7_2(esk1_0,esk2_0),esk9_3(tptp0,esk6_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0))),tptp0)
    | leaf_occ(esk7_2(esk1_0,esk2_0),esk9_3(tptp0,esk6_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]) ).

fof(c_0_49,plain,
    ! [X87,X88,X89,X90] :
      ( ~ min_precedes(X87,X88,X89)
      | ~ occurrence_of(X90,X89)
      | ~ subactivity_occurrence(X88,X90)
      | subactivity_occurrence(X87,X90) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_27])]) ).

cnf(c_0_50,plain,
    ( leaf_occ(X1,X2)
    | occurrence_of(esk6_2(X1,X2),tptp4)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_51,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | next_subocc(esk7_2(esk1_0,esk2_0),esk5_2(esk7_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),tptp0)
    | leaf_occ(esk7_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_44])]) ).

cnf(c_0_52,plain,
    ( ~ min_precedes(X1,X2,X3)
    | ~ leaf_occ(X1,X4)
    | ~ occurrence_of(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_53,negated_conjecture,
    ( min_precedes(esk7_2(esk1_0,esk2_0),esk5_2(esk7_2(esk1_0,esk2_0),esk9_3(tptp0,esk6_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0))),tptp0)
    | leaf_occ(esk7_2(esk1_0,esk2_0),esk9_3(tptp0,esk6_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0))) ),
    inference(spm,[status(thm)],[c_0_30,c_0_48]) ).

cnf(c_0_54,plain,
    ( subactivity_occurrence(X1,X2)
    | ~ subactivity_occurrence(X3,X2)
    | ~ occurrence_of(X2,X4)
    | ~ min_precedes(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

fof(c_0_55,plain,
    ! [X54,X55] :
      ( ( ~ arboreal(X54)
        | atomic(X55)
        | ~ occurrence_of(X54,X55) )
      & ( ~ atomic(X55)
        | arboreal(X54)
        | ~ occurrence_of(X54,X55) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_16])])]) ).

cnf(c_0_56,negated_conjecture,
    ( leaf_occ(X1,esk2_0)
    | occurrence_of(esk6_2(X1,esk2_0),tptp4)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_50,c_0_17]) ).

cnf(c_0_57,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | min_precedes(esk7_2(esk1_0,esk2_0),esk5_2(esk7_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),tptp0)
    | leaf_occ(esk7_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) ),
    inference(spm,[status(thm)],[c_0_30,c_0_51]) ).

cnf(c_0_58,negated_conjecture,
    ( leaf_occ(esk7_2(esk1_0,esk2_0),esk9_3(tptp0,esk6_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0)))
    | ~ leaf_occ(esk7_2(esk1_0,esk2_0),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_59,negated_conjecture,
    ( subactivity_occurrence(esk6_2(esk1_0,esk2_0),X1)
    | ~ subactivity_occurrence(esk7_2(esk1_0,esk2_0),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[c_0_54,c_0_34]) ).

cnf(c_0_60,plain,
    ( arboreal(X1)
    | ~ occurrence_of(X1,X2)
    | ~ atomic(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_61,negated_conjecture,
    occurrence_of(esk6_2(esk1_0,esk2_0),tptp4),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_20]),c_0_21])]),c_0_22]) ).

cnf(c_0_62,plain,
    atomic(tptp4),
    inference(split_conjunct,[status(thm)],[sos_35]) ).

fof(c_0_63,plain,
    ! [X91,X92,X93,X94] :
      ( ~ occurrence_of(X93,X94)
      | atomic(X94)
      | ~ leaf_occ(X91,X93)
      | ~ leaf_occ(X92,X93)
      | X91 = X92 ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[sos_28])])])])]) ).

cnf(c_0_64,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | leaf_occ(esk7_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
    | ~ leaf_occ(esk7_2(esk1_0,esk2_0),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[c_0_52,c_0_57]) ).

cnf(c_0_65,negated_conjecture,
    leaf_occ(esk7_2(esk1_0,esk2_0),esk9_3(tptp0,esk6_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_25]),c_0_17])]) ).

cnf(c_0_66,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | next_subocc(esk6_2(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),esk7_2(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),tptp0)
    | leaf_occ(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) ),
    inference(spm,[status(thm)],[c_0_23,c_0_41]) ).

cnf(c_0_67,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | subactivity_occurrence(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_46]),c_0_41]) ).

cnf(c_0_68,negated_conjecture,
    arboreal(esk6_2(esk1_0,esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62])]) ).

cnf(c_0_69,plain,
    ( X1 = X2
    | atomic(X4)
    | ~ leaf_occ(X2,X3)
    | ~ leaf_occ(X1,X3)
    | ~ occurrence_of(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_70,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | leaf_occ(esk7_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_38])]) ).

cnf(c_0_71,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | leaf_occ(esk7_2(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
    | leaf_occ(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) ),
    inference(spm,[status(thm)],[c_0_16,c_0_41]) ).

cnf(c_0_72,plain,
    ( leaf_occ(X1,X2)
    | next_subocc(esk5_2(X1,X2),esk6_2(X1,X2),tptp0)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_73,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | next_subocc(esk6_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),esk7_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),tptp0)
    | leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68])]) ).

cnf(c_0_74,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | X1 = esk7_2(esk1_0,esk2_0)
    | atomic(X2)
    | ~ leaf_occ(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
    | ~ occurrence_of(esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)),X2) ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_75,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | leaf_occ(esk7_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
    | leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_67]),c_0_68])]) ).

fof(c_0_76,plain,
    ~ atomic(tptp0),
    inference(fof_simplification,[status(thm)],[sos_34]) ).

cnf(c_0_77,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | next_subocc(esk5_2(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),esk6_2(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),tptp0)
    | leaf_occ(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) ),
    inference(spm,[status(thm)],[c_0_72,c_0_41]) ).

cnf(c_0_78,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | min_precedes(esk6_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),esk7_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),tptp0)
    | leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) ),
    inference(spm,[status(thm)],[c_0_30,c_0_73]) ).

cnf(c_0_79,negated_conjecture,
    ( esk7_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) = esk7_2(esk1_0,esk2_0)
    | esk7_2(esk1_0,esk2_0) = esk1_0
    | leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
    | atomic(X1)
    | ~ occurrence_of(esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)),X1) ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_80,plain,
    ~ atomic(tptp0),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_81,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | next_subocc(esk5_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),esk6_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),tptp0)
    | leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_67]),c_0_68])]) ).

cnf(c_0_82,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
    | subactivity_occurrence(esk6_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),X1)
    | ~ subactivity_occurrence(esk7_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[c_0_54,c_0_78]) ).

cnf(c_0_83,negated_conjecture,
    ( esk7_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) = esk7_2(esk1_0,esk2_0)
    | esk7_2(esk1_0,esk2_0) = esk1_0
    | leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_41]),c_0_80]) ).

cnf(c_0_84,plain,
    ( leaf_occ(X1,X2)
    | occurrence_of(esk5_2(X1,X2),tptp3)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_85,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | min_precedes(esk5_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),esk6_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),tptp0)
    | leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) ),
    inference(spm,[status(thm)],[c_0_30,c_0_81]) ).

cnf(c_0_86,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
    | subactivity_occurrence(esk6_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),X1)
    | ~ subactivity_occurrence(esk7_2(esk1_0,esk2_0),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_87,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | leaf_occ(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
    | occurrence_of(esk5_2(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),tptp3)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) ),
    inference(spm,[status(thm)],[c_0_84,c_0_41]) ).

cnf(c_0_88,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
    | subactivity_occurrence(esk5_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),X1)
    | ~ subactivity_occurrence(esk6_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[c_0_54,c_0_85]) ).

cnf(c_0_89,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
    | subactivity_occurrence(esk6_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_46]),c_0_41]) ).

cnf(c_0_90,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
    | occurrence_of(esk5_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),tptp3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_67]),c_0_68])]) ).

cnf(c_0_91,plain,
    atomic(tptp3),
    inference(split_conjunct,[status(thm)],[sos_38]) ).

cnf(c_0_92,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | esk7_2(esk1_0,esk2_0) = X1
    | min_precedes(X1,esk7_2(esk1_0,esk2_0),X2)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
    | ~ occurrence_of(esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)),X2) ),
    inference(spm,[status(thm)],[c_0_24,c_0_70]) ).

cnf(c_0_93,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
    | subactivity_occurrence(esk5_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_41]) ).

cnf(c_0_94,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | arboreal(esk5_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))))
    | leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_90]),c_0_91])]) ).

cnf(c_0_95,plain,
    ( ~ next_subocc(X1,X2,X3)
    | ~ min_precedes(X4,X2,X3)
    | ~ min_precedes(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_96,negated_conjecture,
    ( esk5_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) = esk7_2(esk1_0,esk2_0)
    | esk7_2(esk1_0,esk2_0) = esk1_0
    | min_precedes(esk5_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),esk7_2(esk1_0,esk2_0),X1)
    | leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
    | ~ occurrence_of(esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]) ).

cnf(c_0_97,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | next_subocc(esk6_2(esk1_0,esk2_0),esk5_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),tptp0)
    | leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_67]),c_0_68])]) ).

cnf(c_0_98,negated_conjecture,
    ( ~ min_precedes(X1,esk7_2(esk1_0,esk2_0),tptp0)
    | ~ min_precedes(esk6_2(esk1_0,esk2_0),X1,tptp0) ),
    inference(spm,[status(thm)],[c_0_95,c_0_31]) ).

cnf(c_0_99,negated_conjecture,
    ( esk5_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) = esk7_2(esk1_0,esk2_0)
    | esk7_2(esk1_0,esk2_0) = esk1_0
    | min_precedes(esk5_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),esk7_2(esk1_0,esk2_0),tptp0)
    | leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) ),
    inference(spm,[status(thm)],[c_0_96,c_0_41]) ).

cnf(c_0_100,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | min_precedes(esk6_2(esk1_0,esk2_0),esk5_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),tptp0)
    | leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) ),
    inference(spm,[status(thm)],[c_0_30,c_0_97]) ).

cnf(c_0_101,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
    | ~ leaf_occ(esk5_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[c_0_52,c_0_85]) ).

cnf(c_0_102,negated_conjecture,
    ( esk5_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) = esk7_2(esk1_0,esk2_0)
    | esk7_2(esk1_0,esk2_0) = esk1_0
    | leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]) ).

cnf(c_0_103,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
    | ~ leaf_occ(esk7_2(esk1_0,esk2_0),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_104,negated_conjecture,
    ( ~ leaf_occ(esk6_2(esk1_0,esk2_0),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[c_0_52,c_0_34]) ).

cnf(c_0_105,negated_conjecture,
    ( esk7_2(esk1_0,esk2_0) = esk1_0
    | leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_70]),c_0_41]) ).

cnf(c_0_106,negated_conjecture,
    esk7_2(esk1_0,esk2_0) = esk1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_41]) ).

cnf(c_0_107,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_106]),c_0_22]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.41  % Problem  : PRO016+4 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.42  % Command  : run_ET %s %d
% 0.17/0.63  % Computer : n008.cluster.edu
% 0.17/0.63  % Model    : x86_64 x86_64
% 0.17/0.63  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.63  % Memory   : 8042.1875MB
% 0.17/0.63  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.63  % CPULimit : 300
% 0.17/0.63  % WCLimit  : 600
% 0.17/0.63  % DateTime : Mon Jun 13 01:46:56 EDT 2022
% 0.17/0.63  % CPUTime  : 
% 0.25/6.73  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.25/6.73  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.25/6.73  # Preprocessing time       : 0.017 s
% 0.25/6.73  
% 0.25/6.73  # Proof found!
% 0.25/6.73  # SZS status Theorem
% 0.25/6.73  # SZS output start CNFRefutation
% See solution above
% 0.25/6.73  # Proof object total steps             : 108
% 0.25/6.73  # Proof object clause steps            : 83
% 0.25/6.73  # Proof object formula steps           : 25
% 0.25/6.73  # Proof object conjectures             : 67
% 0.25/6.73  # Proof object clause conjectures      : 64
% 0.25/6.73  # Proof object formula conjectures     : 3
% 0.25/6.73  # Proof object initial clauses used    : 23
% 0.25/6.73  # Proof object initial formulas used   : 13
% 0.25/6.73  # Proof object generating inferences   : 59
% 0.25/6.73  # Proof object simplifying inferences  : 43
% 0.25/6.73  # Training examples: 0 positive, 0 negative
% 0.25/6.73  # Parsed axioms                        : 46
% 0.25/6.73  # Removed by relevancy pruning/SinE    : 23
% 0.25/6.73  # Initial clauses                      : 57
% 0.25/6.73  # Removed in clause preprocessing      : 6
% 0.25/6.73  # Initial clauses in saturation        : 51
% 0.25/6.73  # Processed clauses                    : 7567
% 0.25/6.73  # ...of these trivial                  : 0
% 0.25/6.73  # ...subsumed                          : 2628
% 0.25/6.73  # ...remaining for further processing  : 4939
% 0.25/6.73  # Other redundant clauses eliminated   : 0
% 0.25/6.73  # Clauses deleted for lack of memory   : 0
% 0.25/6.73  # Backward-subsumed                    : 1438
% 0.25/6.73  # Backward-rewritten                   : 2306
% 0.25/6.73  # Generated clauses                    : 17802
% 0.25/6.73  # ...of the previous two non-trivial   : 17780
% 0.25/6.73  # Contextual simplify-reflections      : 5324
% 0.25/6.73  # Paramodulations                      : 17802
% 0.25/6.73  # Factorizations                       : 0
% 0.25/6.73  # Equation resolutions                 : 0
% 0.25/6.73  # Current number of processed clauses  : 1195
% 0.25/6.73  #    Positive orientable unit clauses  : 23
% 0.25/6.73  #    Positive unorientable unit clauses: 0
% 0.25/6.73  #    Negative unit clauses             : 14
% 0.25/6.73  #    Non-unit-clauses                  : 1158
% 0.25/6.73  # Current number of unprocessed clauses: 2078
% 0.25/6.73  # ...number of literals in the above   : 11709
% 0.25/6.73  # Current number of archived formulas  : 0
% 0.25/6.73  # Current number of archived clauses   : 3744
% 0.25/6.73  # Clause-clause subsumption calls (NU) : 8195231
% 0.25/6.73  # Rec. Clause-clause subsumption calls : 147182
% 0.25/6.73  # Non-unit clause-clause subsumptions  : 9142
% 0.25/6.73  # Unit Clause-clause subsumption calls : 688
% 0.25/6.73  # Rewrite failures with RHS unbound    : 0
% 0.25/6.73  # BW rewrite match attempts            : 4
% 0.25/6.73  # BW rewrite match successes           : 4
% 0.25/6.73  # Condensation attempts                : 0
% 0.25/6.73  # Condensation successes               : 0
% 0.25/6.73  # Termbank termtop insertions          : 1184909
% 0.25/6.73  
% 0.25/6.73  # -------------------------------------------------
% 0.25/6.73  # User time                : 5.930 s
% 0.25/6.73  # System time              : 0.027 s
% 0.25/6.73  # Total time               : 5.957 s
% 0.25/6.73  # Maximum resident set size: 24260 pages
% 0.25/23.70  eprover: CPU time limit exceeded, terminating
% 0.25/23.70  eprover: CPU time limit exceeded, terminating
% 0.25/23.71  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.71  eprover: No such file or directory
% 0.25/23.71  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.71  eprover: No such file or directory
% 0.25/23.72  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.72  eprover: No such file or directory
% 0.25/23.72  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.72  eprover: No such file or directory
% 0.25/23.72  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.72  eprover: No such file or directory
% 0.25/23.72  eprover: CPU time limit exceeded, terminating
% 0.25/23.73  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.73  eprover: No such file or directory
% 0.25/23.73  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.73  eprover: No such file or directory
% 0.25/23.73  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.73  eprover: No such file or directory
% 0.25/23.73  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.73  eprover: No such file or directory
% 0.25/23.74  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.74  eprover: No such file or directory
% 0.25/23.74  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.74  eprover: No such file or directory
% 0.25/23.74  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.74  eprover: No such file or directory
% 0.25/23.74  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.74  eprover: No such file or directory
% 0.25/23.74  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.74  eprover: No such file or directory
% 0.25/23.74  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.74  eprover: No such file or directory
% 0.25/23.75  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.75  eprover: No such file or directory
% 0.25/23.75  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.75  eprover: No such file or directory
% 0.25/23.75  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.75  eprover: No such file or directory
% 0.25/23.75  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.75  eprover: No such file or directory
% 0.25/23.75  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.75  eprover: No such file or directory
% 0.25/23.75  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.75  eprover: No such file or directory
% 0.25/23.75  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.75  eprover: No such file or directory
% 0.25/23.76  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.76  eprover: No such file or directory
% 0.25/23.76  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.76  eprover: No such file or directory
% 0.25/23.76  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.76  eprover: No such file or directory
% 0.25/23.76  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.76  eprover: No such file or directory
% 0.25/23.76  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.76  eprover: No such file or directory
% 0.25/23.77  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.77  eprover: No such file or directory
% 0.25/23.77  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.77  eprover: No such file or directory
% 0.25/23.77  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.77  eprover: No such file or directory
% 0.25/23.78  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.78  eprover: No such file or directory
% 0.25/23.79  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.79  eprover: No such file or directory
% 0.25/23.79  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.79  eprover: No such file or directory
%------------------------------------------------------------------------------