↑ Up

ET---2.0.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : PRO003+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n016.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 17:44:53 EDT 2022

% Result   : Theorem 0.21s 1.41s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   74 (  14 unt;   0 def)
%            Number of atoms       :  251 (  22 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  310 ( 133   ~; 130   |;  36   &)
%                                         (   3 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-3 aty)
%            Number of variables   :  155 (   7 sgn  62   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(goals,conjecture,
    ~ ? [X168] : occurrence_of(X168,tptp0),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',goals) ).

fof(sos_02,axiom,
    ! [X5,X6,X7] :
      ( ( occurrence_of(X5,X6)
        & occurrence_of(X5,X7) )
     => X6 = X7 ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_02) ).

fof(sos_33,axiom,
    ! [X100,X101] :
      ( root_occ(X100,X101)
    <=> ? [X102] :
          ( occurrence_of(X101,X102)
          & subactivity_occurrence(X100,X101)
          & root(X100,X102) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_33) ).

fof(sos_22,axiom,
    ! [X61,X62,X63] :
      ( next_subocc(X61,X62,X63)
    <=> ( min_precedes(X61,X62,X63)
        & ~ ? [X64] :
              ( min_precedes(X61,X64,X63)
              & min_precedes(X64,X62,X63) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_22) ).

fof(sos_49,axiom,
    ! [X162] :
      ( occurrence_of(X162,tptp0)
     => ? [X163,X164] :
          ( occurrence_of(X163,tptp4)
          & root_occ(X163,X162)
          & occurrence_of(X164,tptp3)
          & leaf_occ(X164,X162)
          & next_subocc(X163,X164,tptp0) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_49) ).

fof(sos_43,axiom,
    ! [X139,X140,X141,X142] :
      ( ( occurrence_of(X140,X139)
        & subactivity_occurrence(X141,X140)
        & leaf_occ(X142,X140)
        & arboreal(X141)
        & ~ min_precedes(X141,X142,X139) )
     => X142 = X141 ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_43) ).

fof(sos_42,axiom,
    ! [X135,X136,X137,X138] :
      ( ( occurrence_of(X136,X135)
        & subactivity_occurrence(X137,X136)
        & root_occ(X138,X136)
        & arboreal(X137)
        & ~ min_precedes(X138,X137,X135) )
     => X138 = X137 ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_42) ).

fof(sos_62,axiom,
    ! [X165,X166] :
      ( ( occurrence_of(X166,tptp0)
        & root_occ(X165,X166) )
     => ? [X167] :
          ( occurrence_of(X167,tptp1)
          & next_subocc(X165,X167,tptp0) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_62) ).

fof(sos_25,axiom,
    ! [X70,X71,X72] :
      ( min_precedes(X71,X72,X70)
     => ? [X73] :
          ( occurrence_of(X73,X70)
          & subactivity_occurrence(X71,X73)
          & subactivity_occurrence(X72,X73) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_25) ).

fof(sos_38,axiom,
    ! [X118,X119,X120] :
      ( ( occurrence_of(X118,X120)
        & root_occ(X119,X118) )
     => ~ ? [X121] : min_precedes(X121,X119,X120) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_38) ).

fof(sos_07,axiom,
    ! [X17,X18] :
      ( occurrence_of(X17,X18)
     => ( arboreal(X17)
      <=> atomic(X18) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_07) ).

fof(sos_55,axiom,
    atomic(tptp1),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_55) ).

fof(sos_59,axiom,
    tptp1 != tptp3,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',sos_59) ).

fof(c_0_13,negated_conjecture,
    ~ ~ ? [X168] : occurrence_of(X168,tptp0),
    inference(assume_negation,[status(cth)],[goals]) ).

fof(c_0_14,plain,
    ! [X8,X9,X10] :
      ( ~ occurrence_of(X8,X9)
      | ~ occurrence_of(X8,X10)
      | X9 = X10 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])]) ).

fof(c_0_15,negated_conjecture,
    occurrence_of(esk1_0,tptp0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).

cnf(c_0_16,plain,
    ( X1 = X2
    | ~ occurrence_of(X3,X2)
    | ~ occurrence_of(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_17,negated_conjecture,
    occurrence_of(esk1_0,tptp0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_18,plain,
    ! [X103,X104,X103,X104,X106] :
      ( ( occurrence_of(X104,esk6_2(X103,X104))
        | ~ root_occ(X103,X104) )
      & ( subactivity_occurrence(X103,X104)
        | ~ root_occ(X103,X104) )
      & ( root(X103,esk6_2(X103,X104))
        | ~ root_occ(X103,X104) )
      & ( ~ occurrence_of(X104,X106)
        | ~ subactivity_occurrence(X103,X104)
        | ~ root(X103,X106)
        | root_occ(X103,X104) ) ),
    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_33])])])])])])]) ).

cnf(c_0_19,negated_conjecture,
    ( X1 = tptp0
    | ~ occurrence_of(esk1_0,X1) ),
    inference(pm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_20,plain,
    ( occurrence_of(X2,esk6_2(X1,X2))
    | ~ root_occ(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_21,plain,
    ( root(X1,esk6_2(X1,X2))
    | ~ root_occ(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_22,negated_conjecture,
    ( esk6_2(X1,esk1_0) = tptp0
    | ~ root_occ(X1,esk1_0) ),
    inference(pm,[status(thm)],[c_0_19,c_0_20]) ).

fof(c_0_23,plain,
    ! [X65,X66,X67,X68,X65,X66,X67] :
      ( ( min_precedes(X65,X66,X67)
        | ~ next_subocc(X65,X66,X67) )
      & ( ~ min_precedes(X65,X68,X67)
        | ~ min_precedes(X68,X66,X67)
        | ~ next_subocc(X65,X66,X67) )
      & ( min_precedes(X65,esk5_3(X65,X66,X67),X67)
        | ~ min_precedes(X65,X66,X67)
        | next_subocc(X65,X66,X67) )
      & ( min_precedes(esk5_3(X65,X66,X67),X66,X67)
        | ~ min_precedes(X65,X66,X67)
        | next_subocc(X65,X66,X67) ) ),
    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_22])])])])])])]) ).

fof(c_0_24,plain,
    ! [X165] :
      ( ( occurrence_of(esk2_1(X165),tptp4)
        | ~ occurrence_of(X165,tptp0) )
      & ( root_occ(esk2_1(X165),X165)
        | ~ occurrence_of(X165,tptp0) )
      & ( occurrence_of(esk3_1(X165),tptp3)
        | ~ occurrence_of(X165,tptp0) )
      & ( leaf_occ(esk3_1(X165),X165)
        | ~ occurrence_of(X165,tptp0) )
      & ( next_subocc(esk2_1(X165),esk3_1(X165),tptp0)
        | ~ occurrence_of(X165,tptp0) ) ),
    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_49])])])])])]) ).

fof(c_0_25,plain,
    ! [X143,X144,X145,X146] :
      ( ~ occurrence_of(X144,X143)
      | ~ subactivity_occurrence(X145,X144)
      | ~ leaf_occ(X146,X144)
      | ~ arboreal(X145)
      | min_precedes(X145,X146,X143)
      | X146 = X145 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[sos_43])])]) ).

cnf(c_0_26,plain,
    ( root_occ(X1,X2)
    | ~ root(X1,X3)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_27,negated_conjecture,
    ( root(X1,tptp0)
    | ~ root_occ(X1,esk1_0) ),
    inference(pm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_28,plain,
    ( ~ next_subocc(X1,X2,X3)
    | ~ min_precedes(X4,X2,X3)
    | ~ min_precedes(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_29,plain,
    ( next_subocc(esk2_1(X1),esk3_1(X1),tptp0)
    | ~ occurrence_of(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_30,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_25]) ).

cnf(c_0_31,plain,
    ( leaf_occ(esk3_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

fof(c_0_32,plain,
    ! [X139,X140,X141,X142] :
      ( ~ occurrence_of(X140,X139)
      | ~ subactivity_occurrence(X141,X140)
      | ~ root_occ(X142,X140)
      | ~ arboreal(X141)
      | min_precedes(X142,X141,X139)
      | X142 = X141 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[sos_42])])]) ).

fof(c_0_33,plain,
    ! [X168,X169] :
      ( ( occurrence_of(esk4_1(X168),tptp1)
        | ~ occurrence_of(X169,tptp0)
        | ~ root_occ(X168,X169) )
      & ( next_subocc(X168,esk4_1(X168),tptp0)
        | ~ occurrence_of(X169,tptp0)
        | ~ root_occ(X168,X169) ) ),
    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_62])])])])])])]) ).

cnf(c_0_34,negated_conjecture,
    ( root_occ(X1,X2)
    | ~ root_occ(X1,esk1_0)
    | ~ subactivity_occurrence(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    inference(pm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_35,plain,
    ( root_occ(esk2_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_36,plain,
    ( ~ min_precedes(X1,esk3_1(X2),tptp0)
    | ~ min_precedes(esk2_1(X2),X1,tptp0)
    | ~ occurrence_of(X2,tptp0) ),
    inference(pm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_37,plain,
    ( esk3_1(X1) = X2
    | min_precedes(X2,esk3_1(X1),X3)
    | ~ subactivity_occurrence(X2,X1)
    | ~ arboreal(X2)
    | ~ occurrence_of(X1,tptp0)
    | ~ occurrence_of(X1,X3) ),
    inference(pm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_38,plain,
    ( X1 = X2
    | min_precedes(X1,X2,X3)
    | ~ arboreal(X2)
    | ~ root_occ(X1,X4)
    | ~ subactivity_occurrence(X2,X4)
    | ~ occurrence_of(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_39,plain,
    ( next_subocc(X1,esk4_1(X1),tptp0)
    | ~ root_occ(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_40,negated_conjecture,
    ( root_occ(esk2_1(esk1_0),X1)
    | ~ subactivity_occurrence(esk2_1(esk1_0),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_34,c_0_35]),c_0_17])]) ).

cnf(c_0_41,plain,
    ( subactivity_occurrence(X1,X2)
    | ~ root_occ(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_42,plain,
    ( esk3_1(X1) = X2
    | ~ subactivity_occurrence(X2,X1)
    | ~ min_precedes(esk2_1(X1),X2,tptp0)
    | ~ arboreal(X2)
    | ~ occurrence_of(X1,tptp0) ),
    inference(pm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_43,plain,
    ( esk2_1(X1) = X2
    | min_precedes(esk2_1(X1),X2,X3)
    | ~ subactivity_occurrence(X2,X1)
    | ~ arboreal(X2)
    | ~ occurrence_of(X1,tptp0)
    | ~ occurrence_of(X1,X3) ),
    inference(pm,[status(thm)],[c_0_38,c_0_35]) ).

fof(c_0_44,plain,
    ! [X74,X75,X76] :
      ( ( occurrence_of(esk7_3(X74,X75,X76),X74)
        | ~ min_precedes(X75,X76,X74) )
      & ( subactivity_occurrence(X75,esk7_3(X74,X75,X76))
        | ~ min_precedes(X75,X76,X74) )
      & ( subactivity_occurrence(X76,esk7_3(X74,X75,X76))
        | ~ min_precedes(X75,X76,X74) ) ),
    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_25])])])])])]) ).

cnf(c_0_45,negated_conjecture,
    ( next_subocc(esk2_1(esk1_0),esk4_1(esk2_1(esk1_0)),tptp0)
    | ~ subactivity_occurrence(esk2_1(esk1_0),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(pm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_46,plain,
    ( subactivity_occurrence(esk2_1(X1),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(pm,[status(thm)],[c_0_41,c_0_35]) ).

cnf(c_0_47,plain,
    ( esk2_1(X1) = X2
    | esk3_1(X1) = X2
    | ~ subactivity_occurrence(X2,X1)
    | ~ arboreal(X2)
    | ~ occurrence_of(X1,tptp0) ),
    inference(pm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_48,plain,
    ( subactivity_occurrence(X2,esk7_3(X3,X1,X2))
    | ~ min_precedes(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_49,plain,
    ( occurrence_of(esk4_1(X1),tptp1)
    | ~ root_occ(X1,X2)
    | ~ occurrence_of(X2,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

fof(c_0_50,plain,
    ! [X122,X123,X124,X125] :
      ( ~ occurrence_of(X122,X124)
      | ~ root_occ(X123,X122)
      | ~ min_precedes(X125,X123,X124) ),
    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_38])])])])]) ).

cnf(c_0_51,plain,
    ( min_precedes(X1,X2,X3)
    | ~ next_subocc(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_52,negated_conjecture,
    next_subocc(esk2_1(esk1_0),esk4_1(esk2_1(esk1_0)),tptp0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_45,c_0_46]),c_0_17])]) ).

cnf(c_0_53,plain,
    ( occurrence_of(esk3_1(X1),tptp3)
    | ~ occurrence_of(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_54,plain,
    ( esk3_1(esk7_3(X1,X2,X3)) = X3
    | esk2_1(esk7_3(X1,X2,X3)) = X3
    | ~ min_precedes(X2,X3,X1)
    | ~ arboreal(X3)
    | ~ occurrence_of(esk7_3(X1,X2,X3),tptp0) ),
    inference(pm,[status(thm)],[c_0_47,c_0_48]) ).

fof(c_0_55,plain,
    ! [X19,X20] :
      ( ( ~ arboreal(X19)
        | atomic(X20)
        | ~ occurrence_of(X19,X20) )
      & ( ~ atomic(X20)
        | arboreal(X19)
        | ~ occurrence_of(X19,X20) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])])]) ).

cnf(c_0_56,negated_conjecture,
    ( occurrence_of(esk4_1(esk2_1(esk1_0)),tptp1)
    | ~ subactivity_occurrence(esk2_1(esk1_0),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(pm,[status(thm)],[c_0_49,c_0_40]) ).

cnf(c_0_57,plain,
    ( ~ min_precedes(X1,X2,X3)
    | ~ root_occ(X2,X4)
    | ~ occurrence_of(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_58,negated_conjecture,
    min_precedes(esk2_1(esk1_0),esk4_1(esk2_1(esk1_0)),tptp0),
    inference(pm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_59,plain,
    ( esk2_1(esk7_3(X1,X2,X3)) = X3
    | occurrence_of(X3,tptp3)
    | ~ min_precedes(X2,X3,X1)
    | ~ arboreal(X3)
    | ~ occurrence_of(esk7_3(X1,X2,X3),tptp0) ),
    inference(pm,[status(thm)],[c_0_53,c_0_54]) ).

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(esk4_1(esk2_1(esk1_0)),tptp1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_56,c_0_46]),c_0_17])]) ).

cnf(c_0_62,plain,
    atomic(tptp1),
    inference(split_conjunct,[status(thm)],[sos_55]) ).

cnf(c_0_63,negated_conjecture,
    ( ~ root_occ(esk4_1(esk2_1(esk1_0)),X1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(pm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_64,plain,
    ( root_occ(X1,esk7_3(X2,X3,X1))
    | occurrence_of(X1,tptp3)
    | ~ min_precedes(X3,X1,X2)
    | ~ arboreal(X1)
    | ~ occurrence_of(esk7_3(X2,X3,X1),tptp0) ),
    inference(pm,[status(thm)],[c_0_35,c_0_59]) ).

cnf(c_0_65,negated_conjecture,
    arboreal(esk4_1(esk2_1(esk1_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_60,c_0_61]),c_0_62])]) ).

cnf(c_0_66,negated_conjecture,
    ( occurrence_of(esk4_1(esk2_1(esk1_0)),tptp3)
    | ~ min_precedes(X1,esk4_1(esk2_1(esk1_0)),X2)
    | ~ occurrence_of(esk7_3(X2,X1,esk4_1(esk2_1(esk1_0))),tptp0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_63,c_0_64]),c_0_65])]) ).

cnf(c_0_67,plain,
    ( occurrence_of(esk7_3(X3,X1,X2),X3)
    | ~ min_precedes(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_68,plain,
    ( occurrence_of(esk4_1(esk2_1(X1)),tptp1)
    | ~ occurrence_of(X1,tptp0) ),
    inference(pm,[status(thm)],[c_0_49,c_0_35]) ).

cnf(c_0_69,negated_conjecture,
    ( occurrence_of(esk4_1(esk2_1(esk1_0)),tptp3)
    | ~ min_precedes(X1,esk4_1(esk2_1(esk1_0)),tptp0) ),
    inference(pm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_70,plain,
    ( X1 = tptp1
    | ~ occurrence_of(esk4_1(esk2_1(X2)),X1)
    | ~ occurrence_of(X2,tptp0) ),
    inference(pm,[status(thm)],[c_0_16,c_0_68]) ).

cnf(c_0_71,negated_conjecture,
    occurrence_of(esk4_1(esk2_1(esk1_0)),tptp3),
    inference(pm,[status(thm)],[c_0_69,c_0_58]) ).

cnf(c_0_72,plain,
    tptp1 != tptp3,
    inference(split_conjunct,[status(thm)],[sos_59]) ).

cnf(c_0_73,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_70,c_0_71]),c_0_17])]),c_0_72]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : PRO003+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n016.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jun 13 02:30:29 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.21/1.41  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.21/1.41  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.21/1.41  # Preprocessing time       : 0.017 s
% 0.21/1.41  
% 0.21/1.41  # Failure: Out of unprocessed clauses!
% 0.21/1.41  # OLD status GaveUp
% 0.21/1.41  # Parsed axioms                        : 64
% 0.21/1.41  # Removed by relevancy pruning/SinE    : 40
% 0.21/1.41  # Initial clauses                      : 36
% 0.21/1.41  # Removed in clause preprocessing      : 0
% 0.21/1.41  # Initial clauses in saturation        : 36
% 0.21/1.41  # Processed clauses                    : 83
% 0.21/1.41  # ...of these trivial                  : 0
% 0.21/1.41  # ...subsumed                          : 4
% 0.21/1.41  # ...remaining for further processing  : 79
% 0.21/1.41  # Other redundant clauses eliminated   : 0
% 0.21/1.41  # Clauses deleted for lack of memory   : 0
% 0.21/1.41  # Backward-subsumed                    : 0
% 0.21/1.41  # Backward-rewritten                   : 1
% 0.21/1.41  # Generated clauses                    : 55
% 0.21/1.41  # ...of the previous two non-trivial   : 48
% 0.21/1.41  # Contextual simplify-reflections      : 0
% 0.21/1.41  # Paramodulations                      : 55
% 0.21/1.41  # Factorizations                       : 0
% 0.21/1.41  # Equation resolutions                 : 0
% 0.21/1.41  # Current number of processed clauses  : 78
% 0.21/1.41  #    Positive orientable unit clauses  : 19
% 0.21/1.41  #    Positive unorientable unit clauses: 0
% 0.21/1.41  #    Negative unit clauses             : 5
% 0.21/1.41  #    Non-unit-clauses                  : 54
% 0.21/1.41  # Current number of unprocessed clauses: 0
% 0.21/1.41  # ...number of literals in the above   : 0
% 0.21/1.41  # Current number of archived formulas  : 0
% 0.21/1.41  # Current number of archived clauses   : 1
% 0.21/1.41  # Clause-clause subsumption calls (NU) : 723
% 0.21/1.41  # Rec. Clause-clause subsumption calls : 252
% 0.21/1.41  # Non-unit clause-clause subsumptions  : 1
% 0.21/1.41  # Unit Clause-clause subsumption calls : 8
% 0.21/1.41  # Rewrite failures with RHS unbound    : 0
% 0.21/1.41  # BW rewrite match attempts            : 1
% 0.21/1.41  # BW rewrite match successes           : 1
% 0.21/1.41  # Condensation attempts                : 0
% 0.21/1.41  # Condensation successes               : 0
% 0.21/1.41  # Termbank termtop insertions          : 4013
% 0.21/1.41  
% 0.21/1.41  # -------------------------------------------------
% 0.21/1.41  # User time                : 0.019 s
% 0.21/1.41  # System time              : 0.002 s
% 0.21/1.41  # Total time               : 0.021 s
% 0.21/1.41  # Maximum resident set size: 3176 pages
% 0.21/1.41  # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.21/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.21/1.41  # Preprocessing time       : 0.014 s
% 0.21/1.41  
% 0.21/1.41  # Failure: Out of unprocessed clauses!
% 0.21/1.41  # OLD status GaveUp
% 0.21/1.41  # Parsed axioms                        : 64
% 0.21/1.41  # Removed by relevancy pruning/SinE    : 59
% 0.21/1.41  # Initial clauses                      : 10
% 0.21/1.41  # Removed in clause preprocessing      : 0
% 0.21/1.41  # Initial clauses in saturation        : 10
% 0.21/1.41  # Processed clauses                    : 16
% 0.21/1.41  # ...of these trivial                  : 0
% 0.21/1.41  # ...subsumed                          : 0
% 0.21/1.41  # ...remaining for further processing  : 16
% 0.21/1.41  # Other redundant clauses eliminated   : 0
% 0.21/1.41  # Clauses deleted for lack of memory   : 0
% 0.21/1.41  # Backward-subsumed                    : 0
% 0.21/1.41  # Backward-rewritten                   : 0
% 0.21/1.41  # Generated clauses                    : 6
% 0.21/1.41  # ...of the previous two non-trivial   : 6
% 0.21/1.41  # Contextual simplify-reflections      : 0
% 0.21/1.41  # Paramodulations                      : 6
% 0.21/1.41  # Factorizations                       : 0
% 0.21/1.41  # Equation resolutions                 : 0
% 0.21/1.41  # Current number of processed clauses  : 16
% 0.21/1.41  #    Positive orientable unit clauses  : 1
% 0.21/1.41  #    Positive unorientable unit clauses: 0
% 0.21/1.41  #    Negative unit clauses             : 1
% 0.21/1.41  #    Non-unit-clauses                  : 14
% 0.21/1.41  # Current number of unprocessed clauses: 0
% 0.21/1.41  # ...number of literals in the above   : 0
% 0.21/1.41  # Current number of archived formulas  : 0
% 0.21/1.41  # Current number of archived clauses   : 0
% 0.21/1.41  # Clause-clause subsumption calls (NU) : 21
% 0.21/1.41  # Rec. Clause-clause subsumption calls : 21
% 0.21/1.41  # Non-unit clause-clause subsumptions  : 0
% 0.21/1.41  # Unit Clause-clause subsumption calls : 0
% 0.21/1.41  # Rewrite failures with RHS unbound    : 0
% 0.21/1.41  # BW rewrite match attempts            : 0
% 0.21/1.41  # BW rewrite match successes           : 0
% 0.21/1.41  # Condensation attempts                : 0
% 0.21/1.41  # Condensation successes               : 0
% 0.21/1.41  # Termbank termtop insertions          : 1362
% 0.21/1.41  
% 0.21/1.41  # -------------------------------------------------
% 0.21/1.41  # User time                : 0.012 s
% 0.21/1.41  # System time              : 0.002 s
% 0.21/1.41  # Total time               : 0.014 s
% 0.21/1.41  # Maximum resident set size: 2852 pages
% 0.21/1.41  # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 0.21/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 0.21/1.41  # Preprocessing time       : 0.017 s
% 0.21/1.41  
% 0.21/1.41  # Proof found!
% 0.21/1.41  # SZS status Theorem
% 0.21/1.41  # SZS output start CNFRefutation
% See solution above
% 0.21/1.41  # Proof object total steps             : 74
% 0.21/1.41  # Proof object clause steps            : 49
% 0.21/1.41  # Proof object formula steps           : 25
% 0.21/1.41  # Proof object conjectures             : 20
% 0.21/1.41  # Proof object clause conjectures      : 17
% 0.21/1.41  # Proof object formula conjectures     : 3
% 0.21/1.41  # Proof object initial clauses used    : 22
% 0.21/1.41  # Proof object initial formulas used   : 13
% 0.21/1.41  # Proof object generating inferences   : 27
% 0.21/1.41  # Proof object simplifying inferences  : 13
% 0.21/1.41  # Training examples: 0 positive, 0 negative
% 0.21/1.41  # Parsed axioms                        : 64
% 0.21/1.41  # Removed by relevancy pruning/SinE    : 28
% 0.21/1.41  # Initial clauses                      : 54
% 0.21/1.41  # Removed in clause preprocessing      : 0
% 0.21/1.41  # Initial clauses in saturation        : 54
% 0.21/1.41  # Processed clauses                    : 767
% 0.21/1.41  # ...of these trivial                  : 0
% 0.21/1.41  # ...subsumed                          : 375
% 0.21/1.41  # ...remaining for further processing  : 392
% 0.21/1.41  # Other redundant clauses eliminated   : 0
% 0.21/1.41  # Clauses deleted for lack of memory   : 0
% 0.21/1.41  # Backward-subsumed                    : 32
% 0.21/1.41  # Backward-rewritten                   : 7
% 0.21/1.41  # Generated clauses                    : 3477
% 0.21/1.41  # ...of the previous two non-trivial   : 3388
% 0.21/1.41  # Contextual simplify-reflections      : 301
% 0.21/1.41  # Paramodulations                      : 3472
% 0.21/1.41  # Factorizations                       : 5
% 0.21/1.41  # Equation resolutions                 : 0
% 0.21/1.41  # Current number of processed clauses  : 353
% 0.21/1.41  #    Positive orientable unit clauses  : 10
% 0.21/1.41  #    Positive unorientable unit clauses: 0
% 0.21/1.41  #    Negative unit clauses             : 13
% 0.21/1.41  #    Non-unit-clauses                  : 330
% 0.21/1.41  # Current number of unprocessed clauses: 2447
% 0.21/1.41  # ...number of literals in the above   : 16775
% 0.21/1.41  # Current number of archived formulas  : 0
% 0.21/1.41  # Current number of archived clauses   : 39
% 0.21/1.41  # Clause-clause subsumption calls (NU) : 46037
% 0.21/1.41  # Rec. Clause-clause subsumption calls : 13023
% 0.21/1.41  # Non-unit clause-clause subsumptions  : 557
% 0.21/1.41  # Unit Clause-clause subsumption calls : 242
% 0.21/1.41  # Rewrite failures with RHS unbound    : 0
% 0.21/1.41  # BW rewrite match attempts            : 5
% 0.21/1.41  # BW rewrite match successes           : 3
% 0.21/1.41  # Condensation attempts                : 0
% 0.21/1.41  # Condensation successes               : 0
% 0.21/1.41  # Termbank termtop insertions          : 59343
% 0.21/1.41  
% 0.21/1.41  # -------------------------------------------------
% 0.21/1.41  # User time                : 0.126 s
% 0.21/1.41  # System time              : 0.004 s
% 0.21/1.41  # Total time               : 0.130 s
% 0.21/1.41  # Maximum resident set size: 6492 pages
% 0.21/23.40  eprover: CPU time limit exceeded, terminating
% 0.21/23.40  eprover: CPU time limit exceeded, terminating
% 0.21/23.41  eprover: CPU time limit exceeded, terminating
% 0.21/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.42  eprover: No such file or directory
% 0.21/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.42  eprover: No such file or directory
% 0.21/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.42  eprover: No such file or directory
% 0.21/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.42  eprover: No such file or directory
% 0.21/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.43  eprover: No such file or directory
% 0.21/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.43  eprover: No such file or directory
% 0.21/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.43  eprover: No such file or directory
% 0.21/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.43  eprover: No such file or directory
% 0.21/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.43  eprover: No such file or directory
% 0.21/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.43  eprover: No such file or directory
% 0.21/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.44  eprover: No such file or directory
% 0.21/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.44  eprover: No such file or directory
% 0.21/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.44  eprover: No such file or directory
% 0.21/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.44  eprover: No such file or directory
% 0.21/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.44  eprover: No such file or directory
% 0.21/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.44  eprover: No such file or directory
% 0.21/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.45  eprover: No such file or directory
% 0.21/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.45  eprover: No such file or directory
% 0.21/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.45  eprover: No such file or directory
% 0.21/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.45  eprover: No such file or directory
% 0.21/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.45  eprover: No such file or directory
% 0.21/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.45  eprover: No such file or directory
% 0.21/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.46  eprover: No such file or directory
% 0.21/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.46  eprover: No such file or directory
% 0.21/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.46  eprover: No such file or directory
% 0.21/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.46  eprover: No such file or directory
% 0.21/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.46  eprover: No such file or directory
% 0.21/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.46  eprover: No such file or directory
% 0.21/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.46  eprover: No such file or directory
% 0.21/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.47  eprover: No such file or directory
% 0.21/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.47  eprover: No such file or directory
% 0.21/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.47  eprover: No such file or directory
% 0.21/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.47  eprover: No such file or directory
%------------------------------------------------------------------------------