TSTP Solution File: SEU131+2 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SEU131+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n003.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 09:17:00 EDT 2022

% Result   : Theorem 0.23s 1.41s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   87 (  25 unt;   0 def)
%            Number of atoms       :  218 (  66 equ)
%            Maximal formula atoms :   20 (   2 avg)
%            Number of connectives :  221 (  90   ~;  97   |;  19   &)
%                                         (   9 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-3 aty)
%            Number of variables   :  181 (  35 sgn  79   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t6_boole,axiom,
    ! [X1] :
      ( empty(X1)
     => X1 = empty_set ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t6_boole) ).

fof(rc1_xboole_0,axiom,
    ? [X1] : empty(X1),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',rc1_xboole_0) ).

fof(d1_xboole_0,axiom,
    ! [X1] :
      ( X1 = empty_set
    <=> ! [X2] : ~ in(X2,X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d1_xboole_0) ).

fof(d3_tarski,axiom,
    ! [X1,X2] :
      ( subset(X1,X2)
    <=> ! [X3] :
          ( in(X3,X1)
         => in(X3,X2) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d3_tarski) ).

fof(t7_xboole_1,lemma,
    ! [X1,X2] : subset(X1,set_union2(X1,X2)),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t7_xboole_1) ).

fof(t3_xboole_1,lemma,
    ! [X1] :
      ( subset(X1,empty_set)
     => X1 = empty_set ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t3_xboole_1) ).

fof(t17_xboole_1,lemma,
    ! [X1,X2] : subset(set_intersection2(X1,X2),X1),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t17_xboole_1) ).

fof(t12_xboole_1,lemma,
    ! [X1,X2] :
      ( subset(X1,X2)
     => set_union2(X1,X2) = X2 ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t12_xboole_1) ).

fof(t26_xboole_1,lemma,
    ! [X1,X2,X3] :
      ( subset(X1,X2)
     => subset(set_intersection2(X1,X3),set_intersection2(X2,X3)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t26_xboole_1) ).

fof(l32_xboole_1,conjecture,
    ! [X1,X2] :
      ( set_difference(X1,X2) = empty_set
    <=> subset(X1,X2) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l32_xboole_1) ).

fof(t2_xboole_1,lemma,
    ! [X1] : subset(empty_set,X1),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_xboole_1) ).

fof(d4_xboole_0,axiom,
    ! [X1,X2,X3] :
      ( X3 = set_difference(X1,X2)
    <=> ! [X4] :
          ( in(X4,X3)
        <=> ( in(X4,X1)
            & ~ in(X4,X2) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d4_xboole_0) ).

fof(d10_xboole_0,axiom,
    ! [X1,X2] :
      ( X1 = X2
    <=> ( subset(X1,X2)
        & subset(X2,X1) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d10_xboole_0) ).

fof(t28_xboole_1,lemma,
    ! [X1,X2] :
      ( subset(X1,X2)
     => set_intersection2(X1,X2) = X1 ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t28_xboole_1) ).

fof(commutativity_k3_xboole_0,axiom,
    ! [X1,X2] : set_intersection2(X1,X2) = set_intersection2(X2,X1),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',commutativity_k3_xboole_0) ).

fof(d3_xboole_0,axiom,
    ! [X1,X2,X3] :
      ( X3 = set_intersection2(X1,X2)
    <=> ! [X4] :
          ( in(X4,X3)
        <=> ( in(X4,X1)
            & in(X4,X2) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d3_xboole_0) ).

fof(c_0_16,plain,
    ! [X2] :
      ( ~ empty(X2)
      | X2 = empty_set ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).

fof(c_0_17,plain,
    empty(esk9_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).

fof(c_0_18,plain,
    ! [X3,X4,X3] :
      ( ( X3 != empty_set
        | ~ in(X4,X3) )
      & ( in(esk4_1(X3),X3)
        | X3 = empty_set ) ),
    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)],[d1_xboole_0])])])])])])]) ).

cnf(c_0_19,plain,
    ( X1 = empty_set
    | ~ empty(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_20,plain,
    empty(esk9_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_21,plain,
    ! [X4,X5,X6,X4,X5] :
      ( ( ~ subset(X4,X5)
        | ~ in(X6,X4)
        | in(X6,X5) )
      & ( in(esk3_2(X4,X5),X4)
        | subset(X4,X5) )
      & ( ~ in(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)],[d3_tarski])])])])])])]) ).

fof(c_0_22,lemma,
    ! [X3,X4] : subset(X3,set_union2(X3,X4)),
    inference(variable_rename,[status(thm)],[t7_xboole_1]) ).

fof(c_0_23,lemma,
    ! [X2] :
      ( ~ subset(X2,empty_set)
      | X2 = empty_set ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_xboole_1])]) ).

cnf(c_0_24,plain,
    ( ~ in(X1,X2)
    | X2 != empty_set ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_25,plain,
    empty_set = esk9_0,
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_26,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_27,lemma,
    subset(X1,set_union2(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_28,lemma,
    ( X1 = empty_set
    | ~ subset(X1,empty_set) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

fof(c_0_29,lemma,
    ! [X3,X4] : subset(set_intersection2(X3,X4),X3),
    inference(variable_rename,[status(thm)],[t17_xboole_1]) ).

cnf(c_0_30,plain,
    ( X1 != esk9_0
    | ~ in(X2,X1) ),
    inference(rw,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_31,lemma,
    ( in(X1,set_union2(X2,X3))
    | ~ in(X1,X2) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

fof(c_0_32,lemma,
    ! [X3,X4] :
      ( ~ subset(X3,X4)
      | set_union2(X3,X4) = X4 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t12_xboole_1])]) ).

fof(c_0_33,lemma,
    ! [X4,X5,X6] :
      ( ~ subset(X4,X5)
      | subset(set_intersection2(X4,X6),set_intersection2(X5,X6)) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t26_xboole_1])])])]) ).

cnf(c_0_34,lemma,
    ( X1 = esk9_0
    | ~ subset(X1,esk9_0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_25]),c_0_25]) ).

cnf(c_0_35,lemma,
    subset(set_intersection2(X1,X2),X1),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

fof(c_0_36,negated_conjecture,
    ~ ! [X1,X2] :
        ( set_difference(X1,X2) = empty_set
      <=> subset(X1,X2) ),
    inference(assume_negation,[status(cth)],[l32_xboole_1]) ).

cnf(c_0_37,lemma,
    ( set_union2(X1,X2) != esk9_0
    | ~ in(X3,X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_38,lemma,
    ( set_union2(X1,X2) = X2
    | ~ subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_39,lemma,
    ( subset(set_intersection2(X1,X2),set_intersection2(X3,X2))
    | ~ subset(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_40,lemma,
    set_intersection2(esk9_0,X1) = esk9_0,
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

fof(c_0_41,lemma,
    ! [X2] : subset(empty_set,X2),
    inference(variable_rename,[status(thm)],[t2_xboole_1]) ).

fof(c_0_42,plain,
    ! [X5,X6,X7,X8,X8,X5,X6,X7] :
      ( ( in(X8,X5)
        | ~ in(X8,X7)
        | X7 != set_difference(X5,X6) )
      & ( ~ in(X8,X6)
        | ~ in(X8,X7)
        | X7 != set_difference(X5,X6) )
      & ( ~ in(X8,X5)
        | in(X8,X6)
        | in(X8,X7)
        | X7 != set_difference(X5,X6) )
      & ( ~ in(esk5_3(X5,X6,X7),X7)
        | ~ in(esk5_3(X5,X6,X7),X5)
        | in(esk5_3(X5,X6,X7),X6)
        | X7 = set_difference(X5,X6) )
      & ( in(esk5_3(X5,X6,X7),X5)
        | in(esk5_3(X5,X6,X7),X7)
        | X7 = set_difference(X5,X6) )
      & ( ~ in(esk5_3(X5,X6,X7),X6)
        | in(esk5_3(X5,X6,X7),X7)
        | X7 = set_difference(X5,X6) ) ),
    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)],[d4_xboole_0])])])])])])])]) ).

fof(c_0_43,negated_conjecture,
    ( ( set_difference(esk1_0,esk2_0) != empty_set
      | ~ subset(esk1_0,esk2_0) )
    & ( set_difference(esk1_0,esk2_0) = empty_set
      | subset(esk1_0,esk2_0) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])]) ).

cnf(c_0_44,lemma,
    ( X1 != esk9_0
    | ~ subset(X2,X1)
    | ~ in(X3,X2) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_45,lemma,
    ( subset(set_intersection2(X1,X2),esk9_0)
    | ~ subset(X1,esk9_0) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_46,lemma,
    subset(empty_set,X1),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_47,plain,
    ( in(X4,X1)
    | in(X4,X3)
    | X1 != set_difference(X2,X3)
    | ~ in(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_48,negated_conjecture,
    ( subset(esk1_0,esk2_0)
    | set_difference(esk1_0,esk2_0) = empty_set ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_49,lemma,
    ( ~ subset(X1,esk9_0)
    | ~ in(X2,set_intersection2(X1,X3)) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_50,lemma,
    subset(esk9_0,X1),
    inference(rw,[status(thm)],[c_0_46,c_0_25]) ).

fof(c_0_51,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)],[d10_xboole_0])])])])]) ).

fof(c_0_52,lemma,
    ! [X3,X4] :
      ( ~ subset(X3,X4)
      | set_intersection2(X3,X4) = X3 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t28_xboole_1])]) ).

fof(c_0_53,plain,
    ! [X3,X4] : set_intersection2(X3,X4) = set_intersection2(X4,X3),
    inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).

cnf(c_0_54,plain,
    ( in(X1,set_difference(X2,X3))
    | in(X1,X3)
    | ~ in(X1,X2) ),
    inference(er,[status(thm)],[c_0_47]) ).

cnf(c_0_55,negated_conjecture,
    ( set_difference(esk1_0,esk2_0) = esk9_0
    | subset(esk1_0,esk2_0) ),
    inference(rw,[status(thm)],[c_0_48,c_0_25]) ).

cnf(c_0_56,lemma,
    ~ in(X1,esk9_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_40]),c_0_50])]) ).

cnf(c_0_57,plain,
    ( X1 = X2
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_58,lemma,
    ( set_intersection2(X1,X2) = X1
    | ~ subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_59,plain,
    set_intersection2(X1,X2) = set_intersection2(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_60,plain,
    ( subset(X1,X2)
    | ~ in(esk3_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_61,negated_conjecture,
    ( in(X1,esk2_0)
    | ~ in(X1,esk1_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]),c_0_26]) ).

cnf(c_0_62,plain,
    ( X1 != set_difference(X2,X3)
    | ~ in(X4,X1)
    | ~ in(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

fof(c_0_63,plain,
    ! [X5,X6,X7,X8,X8,X5,X6,X7] :
      ( ( in(X8,X5)
        | ~ in(X8,X7)
        | X7 != set_intersection2(X5,X6) )
      & ( in(X8,X6)
        | ~ in(X8,X7)
        | X7 != set_intersection2(X5,X6) )
      & ( ~ in(X8,X5)
        | ~ in(X8,X6)
        | in(X8,X7)
        | X7 != set_intersection2(X5,X6) )
      & ( ~ in(esk7_3(X5,X6,X7),X7)
        | ~ in(esk7_3(X5,X6,X7),X5)
        | ~ in(esk7_3(X5,X6,X7),X6)
        | X7 = set_intersection2(X5,X6) )
      & ( in(esk7_3(X5,X6,X7),X5)
        | in(esk7_3(X5,X6,X7),X7)
        | X7 = set_intersection2(X5,X6) )
      & ( in(esk7_3(X5,X6,X7),X6)
        | in(esk7_3(X5,X6,X7),X7)
        | X7 = set_intersection2(X5,X6) ) ),
    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)],[d3_xboole_0])])])])])])]) ).

cnf(c_0_64,lemma,
    ( set_intersection2(X1,X2) = set_intersection2(X3,X2)
    | ~ subset(set_intersection2(X1,X2),set_intersection2(X3,X2))
    | ~ subset(X3,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_39]) ).

cnf(c_0_65,lemma,
    ( set_intersection2(X1,X2) = X2
    | ~ subset(X2,X1) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_66,lemma,
    subset(set_intersection2(X1,X2),X2),
    inference(spm,[status(thm)],[c_0_35,c_0_59]) ).

cnf(c_0_67,negated_conjecture,
    ( subset(X1,esk2_0)
    | ~ in(esk3_2(X1,esk2_0),esk1_0) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_68,plain,
    ( subset(X1,X2)
    | in(esk3_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_69,plain,
    ( ~ in(X1,set_difference(X2,X3))
    | ~ in(X1,X3) ),
    inference(er,[status(thm)],[c_0_62]) ).

cnf(c_0_70,plain,
    ( X1 = set_intersection2(X2,X3)
    | in(esk7_3(X2,X3,X1),X1)
    | in(esk7_3(X2,X3,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_71,plain,
    ( X1 = set_intersection2(X2,X3)
    | in(esk7_3(X2,X3,X1),X1)
    | in(esk7_3(X2,X3,X1),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_72,plain,
    ( in(X4,X2)
    | X1 != set_difference(X2,X3)
    | ~ in(X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_73,lemma,
    ( set_intersection2(X1,X2) = X2
    | ~ subset(X3,X1)
    | ~ subset(X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66])]) ).

cnf(c_0_74,negated_conjecture,
    subset(esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_75,plain,
    ( X1 = set_intersection2(set_difference(X2,X3),X4)
    | in(esk7_3(set_difference(X2,X3),X4,X1),X1)
    | ~ in(esk7_3(set_difference(X2,X3),X4,X1),X3) ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_76,lemma,
    ( set_intersection2(X1,X2) = esk9_0
    | in(esk7_3(X1,X2,esk9_0),X2) ),
    inference(spm,[status(thm)],[c_0_56,c_0_71]) ).

cnf(c_0_77,plain,
    ( in(X1,X2)
    | ~ in(X1,set_difference(X2,X3)) ),
    inference(er,[status(thm)],[c_0_72]) ).

cnf(c_0_78,negated_conjecture,
    ( ~ subset(esk1_0,esk2_0)
    | set_difference(esk1_0,esk2_0) != empty_set ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_79,negated_conjecture,
    ( set_intersection2(esk2_0,X1) = X1
    | ~ subset(X1,esk1_0) ),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_80,lemma,
    set_intersection2(X1,set_difference(X2,X1)) = esk9_0,
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_56]),c_0_59]) ).

cnf(c_0_81,plain,
    ( subset(set_difference(X1,X2),X3)
    | in(esk3_2(set_difference(X1,X2),X3),X1) ),
    inference(spm,[status(thm)],[c_0_77,c_0_68]) ).

cnf(c_0_82,negated_conjecture,
    ( set_difference(esk1_0,esk2_0) != esk9_0
    | ~ subset(esk1_0,esk2_0) ),
    inference(rw,[status(thm)],[c_0_78,c_0_25]) ).

cnf(c_0_83,negated_conjecture,
    ( set_difference(X1,esk2_0) = esk9_0
    | ~ subset(set_difference(X1,esk2_0),esk1_0) ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_84,plain,
    subset(set_difference(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_60,c_0_81]) ).

cnf(c_0_85,negated_conjecture,
    set_difference(esk1_0,esk2_0) != esk9_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_74])]) ).

cnf(c_0_86,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU131+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.14/0.33  % Computer : n003.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 600
% 0.14/0.33  % DateTime : Sun Jun 19 01:05:43 EDT 2022
% 0.14/0.33  % CPUTime  : 
% 0.23/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41  # Preprocessing time       : 0.018 s
% 0.23/1.41  
% 0.23/1.41  # Proof found!
% 0.23/1.41  # SZS status Theorem
% 0.23/1.41  # SZS output start CNFRefutation
% See solution above
% 0.23/1.41  # Proof object total steps             : 87
% 0.23/1.41  # Proof object clause steps            : 54
% 0.23/1.41  # Proof object formula steps           : 33
% 0.23/1.41  # Proof object conjectures             : 14
% 0.23/1.41  # Proof object clause conjectures      : 11
% 0.23/1.41  # Proof object formula conjectures     : 3
% 0.23/1.41  # Proof object initial clauses used    : 22
% 0.23/1.41  # Proof object initial formulas used   : 16
% 0.23/1.41  # Proof object generating inferences   : 26
% 0.23/1.41  # Proof object simplifying inferences  : 17
% 0.23/1.41  # Training examples: 0 positive, 0 negative
% 0.23/1.41  # Parsed axioms                        : 44
% 0.23/1.41  # Removed by relevancy pruning/SinE    : 8
% 0.23/1.41  # Initial clauses                      : 58
% 0.23/1.41  # Removed in clause preprocessing      : 0
% 0.23/1.41  # Initial clauses in saturation        : 58
% 0.23/1.41  # Processed clauses                    : 4142
% 0.23/1.41  # ...of these trivial                  : 73
% 0.23/1.41  # ...subsumed                          : 3374
% 0.23/1.41  # ...remaining for further processing  : 695
% 0.23/1.41  # Other redundant clauses eliminated   : 89
% 0.23/1.41  # Clauses deleted for lack of memory   : 0
% 0.23/1.41  # Backward-subsumed                    : 55
% 0.23/1.41  # Backward-rewritten                   : 17
% 0.23/1.41  # Generated clauses                    : 34463
% 0.23/1.41  # ...of the previous two non-trivial   : 30969
% 0.23/1.41  # Contextual simplify-reflections      : 1651
% 0.23/1.41  # Paramodulations                      : 34223
% 0.23/1.41  # Factorizations                       : 128
% 0.23/1.41  # Equation resolutions                 : 112
% 0.23/1.41  # Current number of processed clauses  : 621
% 0.23/1.41  #    Positive orientable unit clauses  : 47
% 0.23/1.41  #    Positive unorientable unit clauses: 2
% 0.23/1.41  #    Negative unit clauses             : 31
% 0.23/1.41  #    Non-unit-clauses                  : 541
% 0.23/1.41  # Current number of unprocessed clauses: 25785
% 0.23/1.41  # ...number of literals in the above   : 92633
% 0.23/1.41  # Current number of archived formulas  : 0
% 0.23/1.41  # Current number of archived clauses   : 72
% 0.23/1.41  # Clause-clause subsumption calls (NU) : 234652
% 0.23/1.41  # Rec. Clause-clause subsumption calls : 189892
% 0.23/1.41  # Non-unit clause-clause subsumptions  : 3747
% 0.23/1.41  # Unit Clause-clause subsumption calls : 5595
% 0.23/1.41  # Rewrite failures with RHS unbound    : 0
% 0.23/1.41  # BW rewrite match attempts            : 86
% 0.23/1.41  # BW rewrite match successes           : 18
% 0.23/1.41  # Condensation attempts                : 0
% 0.23/1.41  # Condensation successes               : 0
% 0.23/1.41  # Termbank termtop insertions          : 345181
% 0.23/1.41  
% 0.23/1.41  # -------------------------------------------------
% 0.23/1.41  # User time                : 0.457 s
% 0.23/1.41  # System time              : 0.022 s
% 0.23/1.41  # Total time               : 0.479 s
% 0.23/1.41  # Maximum resident set size: 23108 pages
%------------------------------------------------------------------------------