TSTP Solution File: PRO005+4 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : PRO005+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 13:06:01 EDT 2023

% Result   : Theorem 6.25s 6.37s
% Output   : CNFRefutation 6.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   61
% Syntax   : Number of formulae    :  187 (  30 unt;  38 typ;   0 def)
%            Number of atoms       :  457 (  33 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  519 ( 211   ~; 216   |;  68   &)
%                                         (   5 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   60 (  32   >;  28   *;   0   +;   0  <<)
%            Number of predicates  :   19 (  17 usr;   1 prp; 0-3 aty)
%            Number of functors    :   21 (  21 usr;   6 con; 0-3 aty)
%            Number of variables   :  278 (   6 sgn; 111   !;  15   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    occurrence_of: ( $i * $i ) > $o ).

tff(decl_23,type,
    atomic: $i > $o ).

tff(decl_24,type,
    root: ( $i * $i ) > $o ).

tff(decl_25,type,
    subactivity_occurrence: ( $i * $i ) > $o ).

tff(decl_26,type,
    root_occ: ( $i * $i ) > $o ).

tff(decl_27,type,
    leaf_occ: ( $i * $i ) > $o ).

tff(decl_28,type,
    min_precedes: ( $i * $i * $i ) > $o ).

tff(decl_29,type,
    arboreal: $i > $o ).

tff(decl_30,type,
    activity: $i > $o ).

tff(decl_31,type,
    activity_occurrence: $i > $o ).

tff(decl_32,type,
    subactivity: ( $i * $i ) > $o ).

tff(decl_33,type,
    atocc: ( $i * $i ) > $o ).

tff(decl_34,type,
    leaf: ( $i * $i ) > $o ).

tff(decl_35,type,
    legal: $i > $o ).

tff(decl_36,type,
    earlier: ( $i * $i ) > $o ).

tff(decl_37,type,
    precedes: ( $i * $i ) > $o ).

tff(decl_38,type,
    next_subocc: ( $i * $i * $i ) > $o ).

tff(decl_39,type,
    tptp0: $i ).

tff(decl_40,type,
    tptp4: $i ).

tff(decl_41,type,
    tptp3: $i ).

tff(decl_42,type,
    tptp2: $i ).

tff(decl_43,type,
    tptp1: $i ).

tff(decl_44,type,
    esk1_2: ( $i * $i ) > $i ).

tff(decl_45,type,
    esk2_2: ( $i * $i ) > $i ).

tff(decl_46,type,
    esk3_3: ( $i * $i * $i ) > $i ).

tff(decl_47,type,
    esk4_2: ( $i * $i ) > $i ).

tff(decl_48,type,
    esk5_1: $i > $i ).

tff(decl_49,type,
    esk6_2: ( $i * $i ) > $i ).

tff(decl_50,type,
    esk7_2: ( $i * $i ) > $i ).

tff(decl_51,type,
    esk8_2: ( $i * $i ) > $i ).

tff(decl_52,type,
    esk9_2: ( $i * $i ) > $i ).

tff(decl_53,type,
    esk10_2: ( $i * $i ) > $i ).

tff(decl_54,type,
    esk11_3: ( $i * $i * $i ) > $i ).

tff(decl_55,type,
    esk12_3: ( $i * $i * $i ) > $i ).

tff(decl_56,type,
    esk13_1: $i > $i ).

tff(decl_57,type,
    esk14_1: $i > $i ).

tff(decl_58,type,
    esk15_1: $i > $i ).

tff(decl_59,type,
    esk16_0: $i ).

fof(goals,conjecture,
    ~ ? [X110] : occurrence_of(X110,tptp0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(sos_08,axiom,
    ! [X29,X30,X31] :
      ( ( occurrence_of(X29,X30)
        & occurrence_of(X29,X31) )
     => X30 = X31 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).

fof(sos_18,axiom,
    ! [X56,X57] :
      ( leaf_occ(X56,X57)
    <=> ? [X58] :
          ( occurrence_of(X57,X58)
          & subactivity_occurrence(X56,X57)
          & leaf(X56,X58) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_18) ).

fof(sos_19,axiom,
    ! [X59,X60] :
      ( root_occ(X59,X60)
    <=> ? [X61] :
          ( occurrence_of(X60,X61)
          & subactivity_occurrence(X59,X60)
          & root(X59,X61) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_19) ).

fof(sos_07,axiom,
    ! [X26,X27] :
      ( ( leaf(X26,X27)
        & ~ atomic(X27) )
     => ? [X28] :
          ( occurrence_of(X28,X27)
          & leaf_occ(X26,X28) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).

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/sandbox/benchmark/theBenchmark.p',sos_28) ).

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

fof(sos_32,axiom,
    ! [X102] :
      ( occurrence_of(X102,tptp0)
     => ? [X103,X104] :
          ( occurrence_of(X103,tptp4)
          & root_occ(X103,X102)
          & ( occurrence_of(X104,tptp3)
            | occurrence_of(X104,tptp2) )
          & leaf_occ(X104,X102)
          & next_subocc(X103,X104,tptp0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).

fof(sos_46,axiom,
    ! [X107,X108] :
      ( ( occurrence_of(X108,tptp0)
        & subactivity_occurrence(X107,X108)
        & arboreal(X107)
        & ~ leaf_occ(X107,X108) )
     => ? [X109] :
          ( occurrence_of(X109,tptp1)
          & next_subocc(X107,X109,tptp0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_46) ).

fof(sos_17,axiom,
    ! [X54,X55] :
      ( root(X54,X55)
     => legal(X54) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_17) ).

fof(sos_22,axiom,
    ! [X66,X67,X68] :
      ( min_precedes(X66,X67,X68)
     => ~ root(X67,X68) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).

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/sandbox/benchmark/theBenchmark.p',sos_26) ).

fof(sos_13,axiom,
    ! [X44] :
      ( legal(X44)
     => arboreal(X44) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).

fof(sos_12,axiom,
    ! [X42] :
      ( activity_occurrence(X42)
     => ? [X43] :
          ( activity(X43)
          & occurrence_of(X42,X43) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_12) ).

fof(sos_03,axiom,
    ! [X13,X14] :
      ( occurrence_of(X14,X13)
     => ( activity(X13)
        & activity_occurrence(X14) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).

fof(sos_45,axiom,
    ! [X105,X106] :
      ( ( occurrence_of(X106,tptp0)
        & subactivity_occurrence(X105,X106)
        & arboreal(X105)
        & ~ leaf_occ(X105,X106) )
     => root_occ(X105,X106) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_45) ).

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/sandbox/benchmark/theBenchmark.p',sos_06) ).

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

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

fof(sos_15,axiom,
    ! [X48,X49] :
      ( leaf(X48,X49)
    <=> ( ( root(X48,X49)
          | ? [X50] : min_precedes(X50,X48,X49) )
        & ~ ? [X51] : min_precedes(X48,X51,X49) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_15) ).

fof(sos_01,axiom,
    ! [X4,X5,X6,X7,X8] :
      ( ( occurrence_of(X5,X4)
        & root_occ(X7,X5)
        & leaf_occ(X8,X5)
        & subactivity_occurrence(X6,X5)
        & min_precedes(X7,X6,X4)
        & X6 != X8 )
     => min_precedes(X6,X8,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).

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

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

fof(c_0_23,negated_conjecture,
    ~ ~ ? [X110] : occurrence_of(X110,tptp0),
    inference(assume_negation,[status(cth)],[goals]) ).

fof(c_0_24,plain,
    ! [X139,X140,X141] :
      ( ~ occurrence_of(X139,X140)
      | ~ occurrence_of(X139,X141)
      | X140 = X141 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_08])]) ).

fof(c_0_25,negated_conjecture,
    occurrence_of(esk16_0,tptp0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).

cnf(c_0_26,plain,
    ( X2 = X3
    | ~ occurrence_of(X1,X2)
    | ~ occurrence_of(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_27,negated_conjecture,
    occurrence_of(esk16_0,tptp0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_28,plain,
    ! [X173,X174,X176,X177,X178] :
      ( ( occurrence_of(X174,esk9_2(X173,X174))
        | ~ leaf_occ(X173,X174) )
      & ( subactivity_occurrence(X173,X174)
        | ~ leaf_occ(X173,X174) )
      & ( leaf(X173,esk9_2(X173,X174))
        | ~ leaf_occ(X173,X174) )
      & ( ~ occurrence_of(X177,X178)
        | ~ subactivity_occurrence(X176,X177)
        | ~ leaf(X176,X178)
        | leaf_occ(X176,X177) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_18])])])])])]) ).

fof(c_0_29,plain,
    ! [X179,X180,X182,X183,X184] :
      ( ( occurrence_of(X180,esk10_2(X179,X180))
        | ~ root_occ(X179,X180) )
      & ( subactivity_occurrence(X179,X180)
        | ~ root_occ(X179,X180) )
      & ( root(X179,esk10_2(X179,X180))
        | ~ root_occ(X179,X180) )
      & ( ~ occurrence_of(X183,X184)
        | ~ subactivity_occurrence(X182,X183)
        | ~ root(X182,X184)
        | root_occ(X182,X183) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_19])])])])])]) ).

fof(c_0_30,plain,
    ! [X26,X27] :
      ( ( leaf(X26,X27)
        & ~ atomic(X27) )
     => ? [X28] :
          ( occurrence_of(X28,X27)
          & leaf_occ(X26,X28) ) ),
    inference(fof_simplification,[status(thm)],[sos_07]) ).

cnf(c_0_31,negated_conjecture,
    ( X1 = tptp0
    | ~ occurrence_of(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_32,plain,
    ( occurrence_of(X1,esk9_2(X2,X1))
    | ~ leaf_occ(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_33,plain,
    ( occurrence_of(X1,esk10_2(X2,X1))
    | ~ root_occ(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

fof(c_0_34,plain,
    ! [X87,X88,X89,X90] :
      ( ( occurrence_of(X89,X90)
        & ~ atomic(X90)
        & leaf_occ(X87,X89)
        & leaf_occ(X88,X89) )
     => X87 = X88 ),
    inference(fof_simplification,[status(thm)],[sos_28]) ).

fof(c_0_35,plain,
    ! [X136,X137] :
      ( ( occurrence_of(esk4_2(X136,X137),X137)
        | ~ leaf(X136,X137)
        | atomic(X137) )
      & ( leaf_occ(X136,esk4_2(X136,X137))
        | ~ leaf(X136,X137)
        | atomic(X137) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])]) ).

cnf(c_0_36,plain,
    ( leaf(X1,esk9_2(X1,X2))
    | ~ leaf_occ(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_37,negated_conjecture,
    ( esk9_2(X1,esk16_0) = tptp0
    | ~ leaf_occ(X1,esk16_0) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

fof(c_0_38,plain,
    ~ atomic(tptp0),
    inference(fof_simplification,[status(thm)],[sos_34]) ).

cnf(c_0_39,plain,
    ( root(X1,esk10_2(X1,X2))
    | ~ root_occ(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_40,negated_conjecture,
    ( esk10_2(X1,esk16_0) = tptp0
    | ~ root_occ(X1,esk16_0) ),
    inference(spm,[status(thm)],[c_0_31,c_0_33]) ).

fof(c_0_41,plain,
    ! [X229] :
      ( ( occurrence_of(esk13_1(X229),tptp4)
        | ~ occurrence_of(X229,tptp0) )
      & ( root_occ(esk13_1(X229),X229)
        | ~ occurrence_of(X229,tptp0) )
      & ( occurrence_of(esk14_1(X229),tptp3)
        | occurrence_of(esk14_1(X229),tptp2)
        | ~ occurrence_of(X229,tptp0) )
      & ( leaf_occ(esk14_1(X229),X229)
        | ~ occurrence_of(X229,tptp0) )
      & ( next_subocc(esk13_1(X229),esk14_1(X229),tptp0)
        | ~ occurrence_of(X229,tptp0) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_32])])])]) ).

fof(c_0_42,plain,
    ! [X214,X215,X216,X217] :
      ( ~ occurrence_of(X216,X217)
      | atomic(X217)
      | ~ leaf_occ(X214,X216)
      | ~ leaf_occ(X215,X216)
      | X214 = X215 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])]) ).

cnf(c_0_43,plain,
    ( leaf_occ(X1,esk4_2(X1,X2))
    | atomic(X2)
    | ~ leaf(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_44,negated_conjecture,
    ( leaf(X1,tptp0)
    | ~ leaf_occ(X1,esk16_0) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_45,plain,
    ~ atomic(tptp0),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

fof(c_0_46,plain,
    ! [X107,X108] :
      ( ( occurrence_of(X108,tptp0)
        & subactivity_occurrence(X107,X108)
        & arboreal(X107)
        & ~ leaf_occ(X107,X108) )
     => ? [X109] :
          ( occurrence_of(X109,tptp1)
          & next_subocc(X107,X109,tptp0) ) ),
    inference(fof_simplification,[status(thm)],[sos_46]) ).

fof(c_0_47,plain,
    ! [X171,X172] :
      ( ~ root(X171,X172)
      | legal(X171) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_17])]) ).

cnf(c_0_48,negated_conjecture,
    ( root(X1,tptp0)
    | ~ root_occ(X1,esk16_0) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_49,plain,
    ( root_occ(esk13_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

fof(c_0_50,plain,
    ! [X66,X67,X68] :
      ( min_precedes(X66,X67,X68)
     => ~ root(X67,X68) ),
    inference(fof_simplification,[status(thm)],[sos_22]) ).

fof(c_0_51,plain,
    ! [X202,X203,X204,X205,X206,X207,X208] :
      ( ( min_precedes(X202,X203,X204)
        | ~ next_subocc(X202,X203,X204) )
      & ( ~ min_precedes(X202,X205,X204)
        | ~ min_precedes(X205,X203,X204)
        | ~ next_subocc(X202,X203,X204) )
      & ( min_precedes(X206,esk12_3(X206,X207,X208),X208)
        | ~ min_precedes(X206,X207,X208)
        | next_subocc(X206,X207,X208) )
      & ( min_precedes(esk12_3(X206,X207,X208),X207,X208)
        | ~ min_precedes(X206,X207,X208)
        | next_subocc(X206,X207,X208) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_26])])])])])]) ).

cnf(c_0_52,plain,
    ( atomic(X2)
    | X3 = X4
    | ~ occurrence_of(X1,X2)
    | ~ leaf_occ(X3,X1)
    | ~ leaf_occ(X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_53,negated_conjecture,
    ( leaf_occ(X1,esk4_2(X1,tptp0))
    | ~ leaf_occ(X1,esk16_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).

cnf(c_0_54,plain,
    ( occurrence_of(esk4_2(X1,X2),X2)
    | atomic(X2)
    | ~ leaf(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

fof(c_0_55,plain,
    ! [X234,X235] :
      ( ( occurrence_of(esk15_1(X234),tptp1)
        | ~ occurrence_of(X235,tptp0)
        | ~ subactivity_occurrence(X234,X235)
        | ~ arboreal(X234)
        | leaf_occ(X234,X235) )
      & ( next_subocc(X234,esk15_1(X234),tptp0)
        | ~ occurrence_of(X235,tptp0)
        | ~ subactivity_occurrence(X234,X235)
        | ~ arboreal(X234)
        | leaf_occ(X234,X235) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])])])])]) ).

fof(c_0_56,plain,
    ! [X154] :
      ( ~ legal(X154)
      | arboreal(X154) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_13])]) ).

cnf(c_0_57,plain,
    ( legal(X1)
    | ~ root(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_58,negated_conjecture,
    root(esk13_1(esk16_0),tptp0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_27])]) ).

fof(c_0_59,plain,
    ! [X189,X190,X191] :
      ( ~ min_precedes(X189,X190,X191)
      | ~ root(X190,X191) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])]) ).

cnf(c_0_60,plain,
    ( min_precedes(X1,X2,X3)
    | ~ next_subocc(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_61,plain,
    ( next_subocc(esk13_1(X1),esk14_1(X1),tptp0)
    | ~ occurrence_of(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_62,negated_conjecture,
    ( X1 = X2
    | atomic(X3)
    | ~ leaf_occ(X1,esk4_2(X2,tptp0))
    | ~ leaf_occ(X2,esk16_0)
    | ~ occurrence_of(esk4_2(X2,tptp0),X3) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_63,plain,
    ( leaf_occ(esk14_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_64,negated_conjecture,
    ( occurrence_of(esk4_2(X1,tptp0),tptp0)
    | ~ leaf_occ(X1,esk16_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_44]),c_0_45]) ).

fof(c_0_65,plain,
    ! [X152] :
      ( ( activity(esk5_1(X152))
        | ~ activity_occurrence(X152) )
      & ( occurrence_of(X152,esk5_1(X152))
        | ~ activity_occurrence(X152) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_12])])])]) ).

fof(c_0_66,plain,
    ! [X123,X124] :
      ( ( activity(X123)
        | ~ occurrence_of(X124,X123) )
      & ( activity_occurrence(X124)
        | ~ occurrence_of(X124,X123) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_03])])]) ).

fof(c_0_67,plain,
    ! [X105,X106] :
      ( ( occurrence_of(X106,tptp0)
        & subactivity_occurrence(X105,X106)
        & arboreal(X105)
        & ~ leaf_occ(X105,X106) )
     => root_occ(X105,X106) ),
    inference(fof_simplification,[status(thm)],[sos_45]) ).

cnf(c_0_68,plain,
    ( next_subocc(X1,esk15_1(X1),tptp0)
    | leaf_occ(X1,X2)
    | ~ occurrence_of(X2,tptp0)
    | ~ subactivity_occurrence(X1,X2)
    | ~ arboreal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_69,plain,
    ( subactivity_occurrence(X1,X2)
    | ~ root_occ(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_70,plain,
    ( arboreal(X1)
    | ~ legal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_71,negated_conjecture,
    legal(esk13_1(esk16_0)),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_72,plain,
    ( ~ min_precedes(X1,X2,X3)
    | ~ root(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_73,plain,
    ( min_precedes(esk13_1(X1),esk14_1(X1),tptp0)
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_74,negated_conjecture,
    ( esk14_1(esk4_2(X1,tptp0)) = X1
    | atomic(X2)
    | ~ leaf_occ(X1,esk16_0)
    | ~ occurrence_of(esk4_2(X1,tptp0),X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).

cnf(c_0_75,plain,
    ( occurrence_of(esk15_1(X1),tptp1)
    | leaf_occ(X1,X2)
    | ~ occurrence_of(X2,tptp0)
    | ~ subactivity_occurrence(X1,X2)
    | ~ arboreal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_76,plain,
    ( occurrence_of(X1,esk5_1(X1))
    | ~ activity_occurrence(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_77,plain,
    ( activity_occurrence(X1)
    | ~ occurrence_of(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

fof(c_0_78,plain,
    ! [X232,X233] :
      ( ~ occurrence_of(X233,tptp0)
      | ~ subactivity_occurrence(X232,X233)
      | ~ arboreal(X232)
      | leaf_occ(X232,X233)
      | root_occ(X232,X233) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])]) ).

fof(c_0_79,plain,
    ! [X132,X133,X134] :
      ( ( occurrence_of(esk3_3(X132,X133,X134),X132)
        | ~ min_precedes(X133,X134,X132) )
      & ( subactivity_occurrence(X133,esk3_3(X132,X133,X134))
        | ~ min_precedes(X133,X134,X132) )
      & ( subactivity_occurrence(X134,esk3_3(X132,X133,X134))
        | ~ min_precedes(X133,X134,X132) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_06])])])]) ).

cnf(c_0_80,negated_conjecture,
    ( next_subocc(X1,esk15_1(X1),tptp0)
    | leaf_occ(X1,esk16_0)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,esk16_0) ),
    inference(spm,[status(thm)],[c_0_68,c_0_27]) ).

cnf(c_0_81,plain,
    ( subactivity_occurrence(esk13_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[c_0_69,c_0_49]) ).

cnf(c_0_82,negated_conjecture,
    arboreal(esk13_1(esk16_0)),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_83,plain,
    ( ~ root(esk14_1(X1),tptp0)
    | ~ occurrence_of(X1,tptp0) ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_84,negated_conjecture,
    ( esk14_1(esk4_2(X1,tptp0)) = X1
    | ~ leaf_occ(X1,esk16_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_64]),c_0_45]) ).

fof(c_0_85,plain,
    ! [X169,X170] :
      ( ( ~ arboreal(X169)
        | atomic(X170)
        | ~ occurrence_of(X169,X170) )
      & ( ~ atomic(X170)
        | arboreal(X169)
        | ~ occurrence_of(X169,X170) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_16])])]) ).

cnf(c_0_86,negated_conjecture,
    ( leaf_occ(X1,esk16_0)
    | occurrence_of(esk15_1(X1),tptp1)
    | ~ arboreal(X1)
    | ~ subactivity_occurrence(X1,esk16_0) ),
    inference(spm,[status(thm)],[c_0_75,c_0_27]) ).

cnf(c_0_87,plain,
    ( X1 = esk5_1(X2)
    | ~ occurrence_of(X2,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_76]),c_0_77]) ).

cnf(c_0_88,plain,
    ( leaf_occ(X2,X1)
    | root_occ(X2,X1)
    | ~ occurrence_of(X1,tptp0)
    | ~ subactivity_occurrence(X2,X1)
    | ~ arboreal(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_89,plain,
    ( occurrence_of(esk3_3(X1,X2,X3),X1)
    | ~ min_precedes(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_90,negated_conjecture,
    ( next_subocc(esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)),tptp0)
    | leaf_occ(esk13_1(esk16_0),esk16_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]),c_0_27])]) ).

cnf(c_0_91,negated_conjecture,
    ( ~ leaf_occ(X1,esk16_0)
    | ~ root(X1,tptp0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_64]) ).

cnf(c_0_92,plain,
    ( arboreal(X2)
    | ~ atomic(X1)
    | ~ occurrence_of(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_85]) ).

cnf(c_0_93,negated_conjecture,
    ( leaf_occ(esk13_1(esk16_0),esk16_0)
    | occurrence_of(esk15_1(esk13_1(esk16_0)),tptp1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_81]),c_0_82]),c_0_27])]) ).

cnf(c_0_94,plain,
    atomic(tptp1),
    inference(split_conjunct,[status(thm)],[sos_38]) ).

cnf(c_0_95,plain,
    ( esk9_2(X1,X2) = esk5_1(X2)
    | ~ leaf_occ(X1,X2) ),
    inference(spm,[status(thm)],[c_0_87,c_0_32]) ).

cnf(c_0_96,plain,
    ( esk10_2(X1,X2) = esk5_1(X2)
    | ~ root_occ(X1,X2) ),
    inference(spm,[status(thm)],[c_0_87,c_0_33]) ).

cnf(c_0_97,plain,
    ( leaf_occ(X1,esk3_3(tptp0,X2,X3))
    | root_occ(X1,esk3_3(tptp0,X2,X3))
    | ~ arboreal(X1)
    | ~ min_precedes(X2,X3,tptp0)
    | ~ subactivity_occurrence(X1,esk3_3(tptp0,X2,X3)) ),
    inference(spm,[status(thm)],[c_0_88,c_0_89]) ).

cnf(c_0_98,plain,
    ( subactivity_occurrence(X1,esk3_3(X2,X3,X1))
    | ~ min_precedes(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_99,negated_conjecture,
    ( min_precedes(esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)),tptp0)
    | leaf_occ(esk13_1(esk16_0),esk16_0) ),
    inference(spm,[status(thm)],[c_0_60,c_0_90]) ).

cnf(c_0_100,negated_conjecture,
    ~ leaf_occ(esk13_1(esk16_0),esk16_0),
    inference(spm,[status(thm)],[c_0_91,c_0_58]) ).

cnf(c_0_101,negated_conjecture,
    ( arboreal(esk15_1(esk13_1(esk16_0)))
    | leaf_occ(esk13_1(esk16_0),esk16_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94])]) ).

cnf(c_0_102,plain,
    ( leaf_occ(X3,X1)
    | ~ occurrence_of(X1,X2)
    | ~ subactivity_occurrence(X3,X1)
    | ~ leaf(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_103,plain,
    ( leaf(X1,esk5_1(X2))
    | ~ leaf_occ(X1,X2) ),
    inference(spm,[status(thm)],[c_0_36,c_0_95]) ).

cnf(c_0_104,plain,
    ( root(X1,esk5_1(X2))
    | ~ root_occ(X1,X2) ),
    inference(spm,[status(thm)],[c_0_39,c_0_96]) ).

cnf(c_0_105,plain,
    ( esk5_1(esk3_3(X1,X2,X3)) = X1
    | ~ min_precedes(X2,X3,X1) ),
    inference(spm,[status(thm)],[c_0_87,c_0_89]) ).

cnf(c_0_106,plain,
    ( leaf_occ(X1,esk3_3(tptp0,X2,X1))
    | root_occ(X1,esk3_3(tptp0,X2,X1))
    | ~ arboreal(X1)
    | ~ min_precedes(X2,X1,tptp0) ),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_107,negated_conjecture,
    min_precedes(esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)),tptp0),
    inference(sr,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_108,negated_conjecture,
    arboreal(esk15_1(esk13_1(esk16_0))),
    inference(sr,[status(thm)],[c_0_101,c_0_100]) ).

cnf(c_0_109,plain,
    ( leaf_occ(X1,X2)
    | ~ leaf_occ(X1,X3)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,esk5_1(X3)) ),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_110,plain,
    ( root(X1,X2)
    | ~ min_precedes(X3,X4,X2)
    | ~ root_occ(X1,esk3_3(X2,X3,X4)) ),
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_111,negated_conjecture,
    ( leaf_occ(esk15_1(esk13_1(esk16_0)),esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0))))
    | root_occ(esk15_1(esk13_1(esk16_0)),esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108])]) ).

cnf(c_0_112,negated_conjecture,
    ~ root(esk15_1(esk13_1(esk16_0)),tptp0),
    inference(spm,[status(thm)],[c_0_72,c_0_107]) ).

cnf(c_0_113,plain,
    ( leaf_occ(X1,X2)
    | ~ min_precedes(X3,X4,X5)
    | ~ leaf_occ(X1,esk3_3(X5,X3,X4))
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,X5) ),
    inference(spm,[status(thm)],[c_0_109,c_0_105]) ).

cnf(c_0_114,negated_conjecture,
    leaf_occ(esk15_1(esk13_1(esk16_0)),esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_107])]),c_0_112]) ).

cnf(c_0_115,plain,
    ( leaf(X1,X2)
    | ~ min_precedes(X3,X4,X2)
    | ~ leaf_occ(X1,esk3_3(X2,X3,X4)) ),
    inference(spm,[status(thm)],[c_0_103,c_0_105]) ).

cnf(c_0_116,negated_conjecture,
    ( leaf_occ(esk15_1(esk13_1(esk16_0)),X1)
    | ~ subactivity_occurrence(esk15_1(esk13_1(esk16_0)),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_107])]) ).

fof(c_0_117,plain,
    ! [X161,X162,X164,X165,X166,X167] :
      ( ( root(X161,X162)
        | min_precedes(esk7_2(X161,X162),X161,X162)
        | ~ leaf(X161,X162) )
      & ( ~ min_precedes(X161,X164,X162)
        | ~ leaf(X161,X162) )
      & ( ~ root(X165,X166)
        | min_precedes(X165,esk8_2(X165,X166),X166)
        | leaf(X165,X166) )
      & ( ~ min_precedes(X167,X165,X166)
        | min_precedes(X165,esk8_2(X165,X166),X166)
        | leaf(X165,X166) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_15])])])])])]) ).

fof(c_0_118,plain,
    ! [X114,X115,X116,X117,X118] :
      ( ~ occurrence_of(X115,X114)
      | ~ root_occ(X117,X115)
      | ~ leaf_occ(X118,X115)
      | ~ subactivity_occurrence(X116,X115)
      | ~ min_precedes(X117,X116,X114)
      | X116 = X118
      | min_precedes(X116,X118,X114) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_01])]) ).

cnf(c_0_119,negated_conjecture,
    ( leaf(esk15_1(esk13_1(esk16_0)),X1)
    | ~ min_precedes(X2,X3,X1)
    | ~ subactivity_occurrence(esk15_1(esk13_1(esk16_0)),esk3_3(X1,X2,X3))
    | ~ occurrence_of(esk3_3(X1,X2,X3),tptp0) ),
    inference(spm,[status(thm)],[c_0_115,c_0_116]) ).

cnf(c_0_120,plain,
    ( subactivity_occurrence(X1,esk3_3(X2,X1,X3))
    | ~ min_precedes(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_121,plain,
    ( ~ min_precedes(X1,X2,X3)
    | ~ leaf(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_122,plain,
    ( root_occ(X3,X1)
    | ~ occurrence_of(X1,X2)
    | ~ subactivity_occurrence(X3,X1)
    | ~ root(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_123,plain,
    ( occurrence_of(X1,esk5_1(X1))
    | ~ leaf_occ(X2,X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_95]) ).

cnf(c_0_124,plain,
    ( X5 = X4
    | min_precedes(X5,X4,X2)
    | ~ occurrence_of(X1,X2)
    | ~ root_occ(X3,X1)
    | ~ leaf_occ(X4,X1)
    | ~ subactivity_occurrence(X5,X1)
    | ~ min_precedes(X3,X5,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_118]) ).

cnf(c_0_125,negated_conjecture,
    ( ~ min_precedes(esk15_1(esk13_1(esk16_0)),X1,X2)
    | ~ occurrence_of(esk3_3(X2,esk15_1(esk13_1(esk16_0)),X1),tptp0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]) ).

cnf(c_0_126,plain,
    ( root_occ(X1,esk3_3(X2,X1,X3))
    | ~ min_precedes(X1,X3,X2)
    | ~ root(X1,X4)
    | ~ occurrence_of(esk3_3(X2,X1,X3),X4) ),
    inference(spm,[status(thm)],[c_0_122,c_0_120]) ).

cnf(c_0_127,plain,
    ( activity_occurrence(esk3_3(X1,X2,X3))
    | ~ min_precedes(X2,X3,X1) ),
    inference(spm,[status(thm)],[c_0_77,c_0_89]) ).

cnf(c_0_128,plain,
    ( X1 = X2
    | ~ min_precedes(X3,X4,X2)
    | ~ occurrence_of(esk3_3(X2,X3,X4),X1) ),
    inference(spm,[status(thm)],[c_0_26,c_0_89]) ).

cnf(c_0_129,negated_conjecture,
    occurrence_of(esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0))),esk5_1(esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0))))),
    inference(spm,[status(thm)],[c_0_123,c_0_114]) ).

cnf(c_0_130,plain,
    ( occurrence_of(esk14_1(X1),tptp3)
    | occurrence_of(esk14_1(X1),tptp2)
    | ~ occurrence_of(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_131,negated_conjecture,
    ( X1 = esk15_1(esk13_1(esk16_0))
    | min_precedes(esk15_1(esk13_1(esk16_0)),X1,tptp0)
    | ~ leaf_occ(X1,X2)
    | ~ root_occ(esk13_1(esk16_0),X2)
    | ~ subactivity_occurrence(esk15_1(esk13_1(esk16_0)),X2)
    | ~ occurrence_of(X2,tptp0) ),
    inference(spm,[status(thm)],[c_0_124,c_0_107]) ).

cnf(c_0_132,negated_conjecture,
    ~ min_precedes(esk15_1(esk13_1(esk16_0)),X1,tptp0),
    inference(spm,[status(thm)],[c_0_125,c_0_89]) ).

cnf(c_0_133,plain,
    ( root_occ(X1,esk3_3(X2,X1,X3))
    | ~ min_precedes(X1,X3,X2)
    | ~ root(X1,esk5_1(esk3_3(X2,X1,X3))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_76]),c_0_127]) ).

cnf(c_0_134,negated_conjecture,
    esk5_1(esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))) = tptp0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_107])]) ).

cnf(c_0_135,plain,
    ( occurrence_of(esk14_1(esk3_3(tptp0,X1,X2)),tptp2)
    | occurrence_of(esk14_1(esk3_3(tptp0,X1,X2)),tptp3)
    | ~ min_precedes(X1,X2,tptp0) ),
    inference(spm,[status(thm)],[c_0_130,c_0_89]) ).

cnf(c_0_136,negated_conjecture,
    ( X1 = esk15_1(esk13_1(esk16_0))
    | ~ min_precedes(X2,esk15_1(esk13_1(esk16_0)),X3)
    | ~ leaf_occ(X1,esk3_3(X3,X2,esk15_1(esk13_1(esk16_0))))
    | ~ root_occ(esk13_1(esk16_0),esk3_3(X3,X2,esk15_1(esk13_1(esk16_0))))
    | ~ occurrence_of(esk3_3(X3,X2,esk15_1(esk13_1(esk16_0))),tptp0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_98]),c_0_132]) ).

cnf(c_0_137,negated_conjecture,
    root_occ(esk13_1(esk16_0),esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_107]),c_0_58])]) ).

cnf(c_0_138,negated_conjecture,
    occurrence_of(esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0))),tptp0),
    inference(rw,[status(thm)],[c_0_129,c_0_134]) ).

cnf(c_0_139,negated_conjecture,
    ( occurrence_of(esk14_1(esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))),tptp3)
    | occurrence_of(esk14_1(esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))),tptp2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_107]) ).

cnf(c_0_140,negated_conjecture,
    ( X1 = esk15_1(esk13_1(esk16_0))
    | ~ leaf_occ(X1,esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_107]),c_0_138])]) ).

cnf(c_0_141,negated_conjecture,
    ( esk5_1(esk15_1(esk13_1(esk16_0))) = tptp1
    | leaf_occ(esk13_1(esk16_0),esk16_0) ),
    inference(spm,[status(thm)],[c_0_87,c_0_93]) ).

cnf(c_0_142,negated_conjecture,
    ( esk5_1(esk14_1(esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0))))) = tptp2
    | occurrence_of(esk14_1(esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))),tptp3) ),
    inference(spm,[status(thm)],[c_0_87,c_0_139]) ).

cnf(c_0_143,negated_conjecture,
    esk14_1(esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))) = esk15_1(esk13_1(esk16_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_63]),c_0_138])]) ).

cnf(c_0_144,negated_conjecture,
    esk5_1(esk15_1(esk13_1(esk16_0))) = tptp1,
    inference(sr,[status(thm)],[c_0_141,c_0_100]) ).

cnf(c_0_145,plain,
    tptp1 != tptp2,
    inference(split_conjunct,[status(thm)],[sos_43]) ).

cnf(c_0_146,negated_conjecture,
    occurrence_of(esk15_1(esk13_1(esk16_0)),tptp3),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_143]),c_0_144]),c_0_143]),c_0_145]) ).

cnf(c_0_147,plain,
    tptp1 != tptp3,
    inference(split_conjunct,[status(thm)],[sos_42]) ).

cnf(c_0_148,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_146]),c_0_144]),c_0_147]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : PRO005+4 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 28 19:23:38 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.57  start to proof: theBenchmark
% 6.25/6.37  % Version  : CSE_E---1.5
% 6.25/6.37  % Problem  : theBenchmark.p
% 6.25/6.37  % Proof found
% 6.25/6.37  % SZS status Theorem for theBenchmark.p
% 6.25/6.37  % SZS output start Proof
% See solution above
% 6.25/6.38  % Total time : 5.758000 s
% 6.25/6.38  % SZS output end Proof
% 6.25/6.38  % Total time : 5.763000 s
%------------------------------------------------------------------------------