TSTP Solution File: SET582+3 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SET582+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n012.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 : Tue Jul 19 00:52:08 EDT 2022

% Result   : Theorem 0.17s 1.36s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   83 (  27 unt;   0 def)
%            Number of atoms       :  208 (  29 equ)
%            Maximal formula atoms :   13 (   2 avg)
%            Number of connectives :  199 (  74   ~;  95   |;  17   &)
%                                         (  10 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :  158 (  25 sgn  59   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(prove_th25,conjecture,
    ! [X1,X2,X3] :
      ( ! [X4] :
          ( ~ member(X4,X1)
        <=> ( member(X4,X2)
          <=> member(X4,X3) ) )
     => X1 = symmetric_difference(X2,X3) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',prove_th25) ).

fof(difference_defn,axiom,
    ! [X1,X2,X3] :
      ( member(X3,difference(X1,X2))
    <=> ( member(X3,X1)
        & ~ member(X3,X2) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',difference_defn) ).

fof(subset_defn,axiom,
    ! [X1,X2] :
      ( subset(X1,X2)
    <=> ! [X3] :
          ( member(X3,X1)
         => member(X3,X2) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',subset_defn) ).

fof(union_defn,axiom,
    ! [X1,X2,X3] :
      ( member(X3,union(X1,X2))
    <=> ( member(X3,X1)
        | member(X3,X2) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',union_defn) ).

fof(commutativity_of_union,axiom,
    ! [X1,X2] : union(X1,X2) = union(X2,X1),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',commutativity_of_union) ).

fof(equal_defn,axiom,
    ! [X1,X2] :
      ( X1 = X2
    <=> ( subset(X1,X2)
        & subset(X2,X1) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',equal_defn) ).

fof(equal_member_defn,axiom,
    ! [X1,X2] :
      ( X1 = X2
    <=> ! [X3] :
          ( member(X3,X1)
        <=> member(X3,X2) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',equal_member_defn) ).

fof(symmetric_difference_defn,axiom,
    ! [X1,X2] : symmetric_difference(X1,X2) = union(difference(X1,X2),difference(X2,X1)),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',symmetric_difference_defn) ).

fof(c_0_8,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( ! [X4] :
            ( ~ member(X4,X1)
          <=> ( member(X4,X2)
            <=> member(X4,X3) ) )
       => X1 = symmetric_difference(X2,X3) ),
    inference(assume_negation,[status(cth)],[prove_th25]) ).

fof(c_0_9,plain,
    ! [X4,X5,X6,X4,X5,X6] :
      ( ( member(X6,X4)
        | ~ member(X6,difference(X4,X5)) )
      & ( ~ member(X6,X5)
        | ~ member(X6,difference(X4,X5)) )
      & ( ~ member(X6,X4)
        | member(X6,X5)
        | member(X6,difference(X4,X5)) ) ),
    inference(distribute,[status(thm)],[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)],[difference_defn])])])])])]) ).

fof(c_0_10,plain,
    ! [X4,X5,X6,X4,X5] :
      ( ( ~ subset(X4,X5)
        | ~ member(X6,X4)
        | member(X6,X5) )
      & ( member(esk3_2(X4,X5),X4)
        | subset(X4,X5) )
      & ( ~ member(esk3_2(X4,X5),X5)
        | subset(X4,X5) ) ),
    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)],[subset_defn])])])])])])]) ).

fof(c_0_11,negated_conjecture,
    ! [X8,X8] :
      ( ( ~ member(X8,esk5_0)
        | member(X8,esk6_0)
        | member(X8,esk4_0) )
      & ( ~ member(X8,esk6_0)
        | member(X8,esk5_0)
        | member(X8,esk4_0) )
      & ( ~ member(X8,esk5_0)
        | ~ member(X8,esk6_0)
        | ~ member(X8,esk4_0) )
      & ( member(X8,esk5_0)
        | member(X8,esk6_0)
        | ~ member(X8,esk4_0) )
      & esk4_0 != symmetric_difference(esk5_0,esk6_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_8])])])])])])])]) ).

cnf(c_0_12,plain,
    ( ~ member(X1,difference(X2,X3))
    | ~ member(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,plain,
    ( subset(X1,X2)
    | member(esk3_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,plain,
    ( subset(X1,X2)
    | ~ member(esk3_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,negated_conjecture,
    ( member(X1,esk4_0)
    | member(X1,esk6_0)
    | ~ member(X1,esk5_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,plain,
    ( subset(difference(X1,X2),X3)
    | ~ member(esk3_2(difference(X1,X2),X3),X2) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,negated_conjecture,
    ( subset(X1,esk4_0)
    | member(esk3_2(X1,esk4_0),esk6_0)
    | ~ member(esk3_2(X1,esk4_0),esk5_0) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,plain,
    ( member(X1,X2)
    | ~ member(X1,difference(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_19,negated_conjecture,
    ( member(X1,esk4_0)
    | member(X1,esk5_0)
    | ~ member(X1,esk6_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_20,negated_conjecture,
    ( subset(difference(X1,esk6_0),esk4_0)
    | ~ member(esk3_2(difference(X1,esk6_0),esk4_0),esk5_0) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_21,plain,
    ( subset(difference(X1,X2),X3)
    | member(esk3_2(difference(X1,X2),X3),X1) ),
    inference(spm,[status(thm)],[c_0_18,c_0_13]) ).

cnf(c_0_22,negated_conjecture,
    ( subset(X1,esk4_0)
    | member(esk3_2(X1,esk4_0),esk5_0)
    | ~ member(esk3_2(X1,esk4_0),esk6_0) ),
    inference(spm,[status(thm)],[c_0_14,c_0_19]) ).

fof(c_0_23,plain,
    ! [X4,X5,X6,X4,X5,X6] :
      ( ( ~ member(X6,union(X4,X5))
        | member(X6,X4)
        | member(X6,X5) )
      & ( ~ member(X6,X4)
        | member(X6,union(X4,X5)) )
      & ( ~ member(X6,X5)
        | member(X6,union(X4,X5)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[union_defn])])])])]) ).

cnf(c_0_24,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_25,negated_conjecture,
    subset(difference(esk5_0,esk6_0),esk4_0),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_26,negated_conjecture,
    ( subset(difference(esk6_0,X1),esk4_0)
    | member(esk3_2(difference(esk6_0,X1),esk4_0),esk5_0) ),
    inference(spm,[status(thm)],[c_0_22,c_0_21]) ).

cnf(c_0_27,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_28,negated_conjecture,
    ( member(X1,esk4_0)
    | ~ member(X1,difference(esk5_0,esk6_0)) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_29,negated_conjecture,
    subset(difference(esk6_0,esk5_0),esk4_0),
    inference(spm,[status(thm)],[c_0_16,c_0_26]) ).

cnf(c_0_30,plain,
    ( subset(X1,union(X2,X3))
    | ~ member(esk3_2(X1,union(X2,X3)),X2) ),
    inference(spm,[status(thm)],[c_0_14,c_0_27]) ).

cnf(c_0_31,negated_conjecture,
    ( subset(difference(esk5_0,esk6_0),X1)
    | member(esk3_2(difference(esk5_0,esk6_0),X1),esk4_0) ),
    inference(spm,[status(thm)],[c_0_28,c_0_13]) ).

cnf(c_0_32,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_33,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_34,negated_conjecture,
    ( member(X1,esk4_0)
    | ~ member(X1,difference(esk6_0,esk5_0)) ),
    inference(spm,[status(thm)],[c_0_24,c_0_29]) ).

cnf(c_0_35,negated_conjecture,
    subset(difference(esk5_0,esk6_0),union(esk4_0,X1)),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_36,plain,
    ( subset(union(X1,X2),X3)
    | member(esk3_2(union(X1,X2),X3),X1)
    | member(esk3_2(union(X1,X2),X3),X2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_13]) ).

cnf(c_0_37,plain,
    ( subset(X1,union(X2,X3))
    | ~ member(esk3_2(X1,union(X2,X3)),X3) ),
    inference(spm,[status(thm)],[c_0_14,c_0_33]) ).

fof(c_0_38,plain,
    ! [X3,X4] : union(X3,X4) = union(X4,X3),
    inference(variable_rename,[status(thm)],[commutativity_of_union]) ).

cnf(c_0_39,negated_conjecture,
    ( subset(difference(esk6_0,esk5_0),X1)
    | member(esk3_2(difference(esk6_0,esk5_0),X1),esk4_0) ),
    inference(spm,[status(thm)],[c_0_34,c_0_13]) ).

cnf(c_0_40,negated_conjecture,
    ( member(X1,union(esk4_0,X2))
    | ~ member(X1,difference(esk5_0,esk6_0)) ),
    inference(spm,[status(thm)],[c_0_24,c_0_35]) ).

fof(c_0_41,plain,
    ! [X3,X4,X3,X4] :
      ( ( subset(X3,X4)
        | X3 != X4 )
      & ( subset(X4,X3)
        | X3 != X4 )
      & ( ~ subset(X3,X4)
        | ~ subset(X4,X3)
        | X3 = X4 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[equal_defn])])])])]) ).

cnf(c_0_42,plain,
    ( subset(union(X1,X1),X2)
    | member(esk3_2(union(X1,X1),X2),X1) ),
    inference(ef,[status(thm)],[c_0_36]) ).

cnf(c_0_43,plain,
    subset(X1,union(X2,X1)),
    inference(spm,[status(thm)],[c_0_37,c_0_13]) ).

cnf(c_0_44,plain,
    union(X1,X2) = union(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_45,negated_conjecture,
    subset(difference(esk6_0,esk5_0),union(esk4_0,X1)),
    inference(spm,[status(thm)],[c_0_30,c_0_39]) ).

cnf(c_0_46,negated_conjecture,
    ( subset(X1,union(esk4_0,X2))
    | ~ member(esk3_2(X1,union(esk4_0,X2)),difference(esk5_0,esk6_0)) ),
    inference(spm,[status(thm)],[c_0_14,c_0_40]) ).

cnf(c_0_47,plain,
    ( subset(union(X1,X2),union(X2,X3))
    | member(esk3_2(union(X1,X2),union(X2,X3)),X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_36]) ).

cnf(c_0_48,plain,
    ( X1 = X2
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_49,plain,
    subset(union(X1,X1),X1),
    inference(spm,[status(thm)],[c_0_14,c_0_42]) ).

cnf(c_0_50,plain,
    subset(X1,union(X1,X2)),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_51,negated_conjecture,
    ( member(X1,union(esk4_0,X2))
    | ~ member(X1,difference(esk6_0,esk5_0)) ),
    inference(spm,[status(thm)],[c_0_24,c_0_45]) ).

cnf(c_0_52,negated_conjecture,
    subset(union(esk4_0,difference(esk5_0,esk6_0)),union(esk4_0,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_44]) ).

cnf(c_0_53,plain,
    union(X1,X1) = X1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]) ).

cnf(c_0_54,negated_conjecture,
    ( subset(X1,union(esk4_0,X2))
    | ~ member(esk3_2(X1,union(esk4_0,X2)),difference(esk6_0,esk5_0)) ),
    inference(spm,[status(thm)],[c_0_14,c_0_51]) ).

cnf(c_0_55,plain,
    ( subset(union(X1,X2),union(X3,X2))
    | member(esk3_2(union(X1,X2),union(X3,X2)),X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_36]) ).

cnf(c_0_56,negated_conjecture,
    subset(union(esk4_0,difference(esk5_0,esk6_0)),esk4_0),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_57,negated_conjecture,
    subset(union(difference(esk6_0,esk5_0),X1),union(esk4_0,X1)),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_58,negated_conjecture,
    union(esk4_0,difference(esk5_0,esk6_0)) = esk4_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_56]),c_0_50])]) ).

fof(c_0_59,plain,
    ! [X4,X5,X6,X6,X4,X5] :
      ( ( ~ member(X6,X4)
        | member(X6,X5)
        | X4 != X5 )
      & ( ~ member(X6,X5)
        | member(X6,X4)
        | X4 != X5 )
      & ( ~ member(esk2_2(X4,X5),X4)
        | ~ member(esk2_2(X4,X5),X5)
        | X4 = X5 )
      & ( member(esk2_2(X4,X5),X4)
        | member(esk2_2(X4,X5),X5)
        | X4 = X5 ) ),
    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)],[equal_member_defn])])])])])])]) ).

fof(c_0_60,plain,
    ! [X3,X4] : symmetric_difference(X3,X4) = union(difference(X3,X4),difference(X4,X3)),
    inference(variable_rename,[status(thm)],[symmetric_difference_defn]) ).

cnf(c_0_61,negated_conjecture,
    subset(union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0)),esk4_0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_44]) ).

cnf(c_0_62,negated_conjecture,
    ( member(X1,esk6_0)
    | member(X1,esk5_0)
    | ~ member(X1,esk4_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_63,plain,
    ( X1 = X2
    | member(esk2_2(X1,X2),X2)
    | member(esk2_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_64,negated_conjecture,
    esk4_0 != symmetric_difference(esk5_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_65,plain,
    symmetric_difference(X1,X2) = union(difference(X1,X2),difference(X2,X1)),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_66,plain,
    ( X1 = X2
    | ~ member(esk2_2(X1,X2),X2)
    | ~ member(esk2_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_67,negated_conjecture,
    ( member(X1,esk4_0)
    | ~ member(X1,union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0))) ),
    inference(spm,[status(thm)],[c_0_24,c_0_61]) ).

cnf(c_0_68,negated_conjecture,
    ( esk4_0 = X1
    | member(esk2_2(esk4_0,X1),esk5_0)
    | member(esk2_2(esk4_0,X1),esk6_0)
    | member(esk2_2(esk4_0,X1),X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_69,negated_conjecture,
    esk4_0 != union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0)),
    inference(rw,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_70,plain,
    ( X1 = union(X2,X3)
    | ~ member(esk2_2(X1,union(X2,X3)),X1)
    | ~ member(esk2_2(X1,union(X2,X3)),X3) ),
    inference(spm,[status(thm)],[c_0_66,c_0_33]) ).

cnf(c_0_71,negated_conjecture,
    ( member(esk2_2(esk4_0,union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0))),esk5_0)
    | member(esk2_2(esk4_0,union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0))),esk4_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]),c_0_19]) ).

cnf(c_0_72,negated_conjecture,
    ~ member(esk2_2(esk4_0,union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0))),difference(esk6_0,esk5_0)),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_69]),c_0_12]) ).

cnf(c_0_73,plain,
    ( member(X1,difference(X2,X3))
    | member(X1,X3)
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_74,plain,
    ( X1 = union(X2,X3)
    | member(esk2_2(X1,union(X2,X3)),X1)
    | member(esk2_2(X1,union(X2,X3)),X2)
    | member(esk2_2(X1,union(X2,X3)),X3) ),
    inference(spm,[status(thm)],[c_0_32,c_0_63]) ).

cnf(c_0_75,negated_conjecture,
    ( member(esk2_2(esk4_0,union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0))),esk5_0)
    | ~ member(esk2_2(esk4_0,union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0))),esk6_0) ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_76,plain,
    ( X1 = union(X2,X3)
    | ~ member(esk2_2(X1,union(X2,X3)),X1)
    | ~ member(esk2_2(X1,union(X2,X3)),X2) ),
    inference(spm,[status(thm)],[c_0_66,c_0_27]) ).

cnf(c_0_77,negated_conjecture,
    member(esk2_2(esk4_0,union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0))),esk4_0),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_74]),c_0_69]),c_0_28]) ).

cnf(c_0_78,negated_conjecture,
    ( ~ member(X1,esk4_0)
    | ~ member(X1,esk6_0)
    | ~ member(X1,esk5_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_79,negated_conjecture,
    member(esk2_2(esk4_0,union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0))),esk5_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_71]),c_0_75]) ).

cnf(c_0_80,negated_conjecture,
    ~ member(esk2_2(esk4_0,union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0))),difference(esk5_0,esk6_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_69]) ).

cnf(c_0_81,negated_conjecture,
    ~ member(esk2_2(esk4_0,union(difference(esk5_0,esk6_0),difference(esk6_0,esk5_0))),esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_77]),c_0_79])]) ).

cnf(c_0_82,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_73]),c_0_79])]),c_0_81]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09  % Problem  : SET582+3 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.09  % Command  : run_ET %s %d
% 0.09/0.29  % Computer : n012.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 600
% 0.09/0.29  % DateTime : Mon Jul 11 08:22:58 EDT 2022
% 0.09/0.29  % CPUTime  : 
% 0.17/1.36  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.17/1.36  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.17/1.36  # Preprocessing time       : 0.014 s
% 0.17/1.36  
% 0.17/1.36  # Failure: Out of unprocessed clauses!
% 0.17/1.36  # OLD status GaveUp
% 0.17/1.36  # Parsed axioms                        : 11
% 0.17/1.36  # Removed by relevancy pruning/SinE    : 7
% 0.17/1.36  # Initial clauses                      : 12
% 0.17/1.36  # Removed in clause preprocessing      : 2
% 0.17/1.36  # Initial clauses in saturation        : 10
% 0.17/1.36  # Processed clauses                    : 40
% 0.17/1.36  # ...of these trivial                  : 0
% 0.17/1.36  # ...subsumed                          : 8
% 0.17/1.36  # ...remaining for further processing  : 32
% 0.17/1.36  # Other redundant clauses eliminated   : 0
% 0.17/1.36  # Clauses deleted for lack of memory   : 0
% 0.17/1.36  # Backward-subsumed                    : 6
% 0.17/1.36  # Backward-rewritten                   : 0
% 0.17/1.36  # Generated clauses                    : 57
% 0.17/1.36  # ...of the previous two non-trivial   : 32
% 0.17/1.36  # Contextual simplify-reflections      : 8
% 0.17/1.36  # Paramodulations                      : 45
% 0.17/1.36  # Factorizations                       : 12
% 0.17/1.36  # Equation resolutions                 : 0
% 0.17/1.36  # Current number of processed clauses  : 26
% 0.17/1.36  #    Positive orientable unit clauses  : 0
% 0.17/1.36  #    Positive unorientable unit clauses: 1
% 0.17/1.36  #    Negative unit clauses             : 1
% 0.17/1.36  #    Non-unit-clauses                  : 24
% 0.17/1.36  # Current number of unprocessed clauses: 0
% 0.17/1.36  # ...number of literals in the above   : 0
% 0.17/1.36  # Current number of archived formulas  : 0
% 0.17/1.36  # Current number of archived clauses   : 6
% 0.17/1.36  # Clause-clause subsumption calls (NU) : 189
% 0.17/1.36  # Rec. Clause-clause subsumption calls : 64
% 0.17/1.36  # Non-unit clause-clause subsumptions  : 22
% 0.17/1.36  # Unit Clause-clause subsumption calls : 0
% 0.17/1.36  # Rewrite failures with RHS unbound    : 0
% 0.17/1.36  # BW rewrite match attempts            : 2
% 0.17/1.36  # BW rewrite match successes           : 2
% 0.17/1.36  # Condensation attempts                : 0
% 0.17/1.36  # Condensation successes               : 0
% 0.17/1.36  # Termbank termtop insertions          : 2133
% 0.17/1.36  
% 0.17/1.36  # -------------------------------------------------
% 0.17/1.36  # User time                : 0.017 s
% 0.17/1.36  # System time              : 0.000 s
% 0.17/1.36  # Total time               : 0.017 s
% 0.17/1.36  # Maximum resident set size: 2776 pages
% 0.17/1.36  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.17/1.36  # Preprocessing time       : 0.015 s
% 0.17/1.36  
% 0.17/1.36  # Proof found!
% 0.17/1.36  # SZS status Theorem
% 0.17/1.36  # SZS output start CNFRefutation
% See solution above
% 0.17/1.36  # Proof object total steps             : 83
% 0.17/1.36  # Proof object clause steps            : 66
% 0.17/1.36  # Proof object formula steps           : 17
% 0.17/1.36  # Proof object conjectures             : 40
% 0.17/1.36  # Proof object clause conjectures      : 37
% 0.17/1.36  # Proof object formula conjectures     : 3
% 0.17/1.36  # Proof object initial clauses used    : 19
% 0.17/1.36  # Proof object initial formulas used   : 8
% 0.17/1.36  # Proof object generating inferences   : 46
% 0.17/1.36  # Proof object simplifying inferences  : 20
% 0.17/1.36  # Training examples: 0 positive, 0 negative
% 0.17/1.36  # Parsed axioms                        : 11
% 0.17/1.36  # Removed by relevancy pruning/SinE    : 0
% 0.17/1.36  # Initial clauses                      : 27
% 0.17/1.36  # Removed in clause preprocessing      : 3
% 0.17/1.36  # Initial clauses in saturation        : 24
% 0.17/1.36  # Processed clauses                    : 4781
% 0.17/1.36  # ...of these trivial                  : 252
% 0.17/1.36  # ...subsumed                          : 3241
% 0.17/1.36  # ...remaining for further processing  : 1288
% 0.17/1.36  # Other redundant clauses eliminated   : 2
% 0.17/1.36  # Clauses deleted for lack of memory   : 0
% 0.17/1.36  # Backward-subsumed                    : 115
% 0.17/1.36  # Backward-rewritten                   : 257
% 0.17/1.36  # Generated clauses                    : 42972
% 0.17/1.36  # ...of the previous two non-trivial   : 37497
% 0.17/1.36  # Contextual simplify-reflections      : 982
% 0.17/1.36  # Paramodulations                      : 42614
% 0.17/1.36  # Factorizations                       : 356
% 0.17/1.36  # Equation resolutions                 : 2
% 0.17/1.36  # Current number of processed clauses  : 914
% 0.17/1.36  #    Positive orientable unit clauses  : 172
% 0.17/1.36  #    Positive unorientable unit clauses: 6
% 0.17/1.36  #    Negative unit clauses             : 12
% 0.17/1.36  #    Non-unit-clauses                  : 724
% 0.17/1.36  # Current number of unprocessed clauses: 26140
% 0.17/1.36  # ...number of literals in the above   : 87306
% 0.17/1.36  # Current number of archived formulas  : 0
% 0.17/1.36  # Current number of archived clauses   : 373
% 0.17/1.36  # Clause-clause subsumption calls (NU) : 157034
% 0.17/1.36  # Rec. Clause-clause subsumption calls : 106685
% 0.17/1.36  # Non-unit clause-clause subsumptions  : 3232
% 0.17/1.36  # Unit Clause-clause subsumption calls : 10781
% 0.17/1.36  # Rewrite failures with RHS unbound    : 102
% 0.17/1.36  # BW rewrite match attempts            : 1111
% 0.17/1.36  # BW rewrite match successes           : 117
% 0.17/1.36  # Condensation attempts                : 0
% 0.17/1.36  # Condensation successes               : 0
% 0.17/1.36  # Termbank termtop insertions          : 783947
% 0.17/1.36  
% 0.17/1.36  # -------------------------------------------------
% 0.17/1.36  # User time                : 0.546 s
% 0.17/1.36  # System time              : 0.013 s
% 0.17/1.36  # Total time               : 0.559 s
% 0.17/1.36  # Maximum resident set size: 31288 pages
% 0.17/23.39  eprover: CPU time limit exceeded, terminating
% 0.17/23.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.41  eprover: No such file or directory
% 0.17/23.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.41  eprover: No such file or directory
% 0.17/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.42  eprover: No such file or directory
% 0.17/23.42  eprover: CPU time limit exceeded, terminating
% 0.17/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.43  eprover: No such file or directory
% 0.17/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.43  eprover: No such file or directory
% 0.17/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.17/23.43  eprover: No such file or directory
% 0.17/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.17/23.44  eprover: No such file or directory
% 0.17/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.44  eprover: No such file or directory
% 0.17/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.17/23.44  eprover: No such file or directory
% 0.17/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.17/23.44  eprover: No such file or directory
% 0.17/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.44  eprover: No such file or directory
% 0.17/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.17/23.45  eprover: No such file or directory
% 0.17/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.45  eprover: No such file or directory
% 0.17/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.17/23.45  eprover: No such file or directory
% 0.17/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.17/23.45  eprover: No such file or directory
% 0.17/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.46  eprover: No such file or directory
% 0.17/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.17/23.46  eprover: No such file or directory
% 0.17/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.46  eprover: No such file or directory
% 0.17/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.47  eprover: No such file or directory
%------------------------------------------------------------------------------