TSTP Solution File: SEU063+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SEU063+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n011.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 09:16:39 EDT 2022

% Result   : Theorem 0.61s 47.80s
% Output   : CNFRefutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  132 (  28 unt;   0 def)
%            Number of atoms       :  467 ( 160 equ)
%            Maximal formula atoms :   32 (   3 avg)
%            Number of connectives :  546 ( 211   ~; 277   |;  41   &)
%                                         (   9 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;   4 con; 0-3 aty)
%            Number of variables   :  211 (  18 sgn  64   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t144_funct_1,conjecture,
    ! [X1] :
      ( ( relation(X1)
        & function(X1) )
     => ( ! [X2] :
            ~ ( in(X2,relation_rng(X1))
              & ! [X3] : relation_inverse_image(X1,singleton(X2)) != singleton(X3) )
      <=> one_to_one(X1) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t144_funct_1) ).

fof(d8_funct_1,axiom,
    ! [X1] :
      ( ( relation(X1)
        & function(X1) )
     => ( one_to_one(X1)
      <=> ! [X2,X3] :
            ( ( in(X2,relation_dom(X1))
              & in(X3,relation_dom(X1))
              & apply(X1,X2) = apply(X1,X3) )
           => X2 = X3 ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d8_funct_1) ).

fof(d5_funct_1,axiom,
    ! [X1] :
      ( ( relation(X1)
        & function(X1) )
     => ! [X2] :
          ( X2 = relation_rng(X1)
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( in(X4,relation_dom(X1))
                  & X3 = apply(X1,X4) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d5_funct_1) ).

fof(d1_tarski,axiom,
    ! [X1,X2] :
      ( X2 = singleton(X1)
    <=> ! [X3] :
          ( in(X3,X2)
        <=> X3 = X1 ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d1_tarski) ).

fof(d13_funct_1,axiom,
    ! [X1] :
      ( ( relation(X1)
        & function(X1) )
     => ! [X2,X3] :
          ( X3 = relation_inverse_image(X1,X2)
        <=> ! [X4] :
              ( in(X4,X3)
            <=> ( in(X4,relation_dom(X1))
                & in(apply(X1,X4),X2) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d13_funct_1) ).

fof(t7_boole,axiom,
    ! [X1,X2] :
      ~ ( in(X1,X2)
        & empty(X2) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t7_boole) ).

fof(fc12_relat_1,axiom,
    ( empty(empty_set)
    & relation(empty_set)
    & relation_empty_yielding(empty_set) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fc12_relat_1) ).

fof(rc3_funct_1,axiom,
    ? [X1] :
      ( relation(X1)
      & function(X1)
      & one_to_one(X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',rc3_funct_1) ).

fof(t5_subset,axiom,
    ! [X1,X2,X3] :
      ~ ( in(X1,X2)
        & element(X2,powerset(X3))
        & empty(X3) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t5_subset) ).

fof(existence_m1_subset_1,axiom,
    ! [X1] :
    ? [X2] : element(X2,X1),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',existence_m1_subset_1) ).

fof(t2_subset,axiom,
    ! [X1,X2] :
      ( element(X1,X2)
     => ( empty(X2)
        | in(X1,X2) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t2_subset) ).

fof(fc2_subset_1,axiom,
    ! [X1] : ~ empty(singleton(X1)),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fc2_subset_1) ).

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

fof(c_0_13,negated_conjecture,
    ~ ! [X1] :
        ( ( relation(X1)
          & function(X1) )
       => ( ! [X2] :
              ~ ( in(X2,relation_rng(X1))
                & ! [X3] : relation_inverse_image(X1,singleton(X2)) != singleton(X3) )
        <=> one_to_one(X1) ) ),
    inference(assume_negation,[status(cth)],[t144_funct_1]) ).

fof(c_0_14,plain,
    ! [X4,X5,X6] :
      ( ( ~ one_to_one(X4)
        | ~ in(X5,relation_dom(X4))
        | ~ in(X6,relation_dom(X4))
        | apply(X4,X5) != apply(X4,X6)
        | X5 = X6
        | ~ relation(X4)
        | ~ function(X4) )
      & ( in(esk6_1(X4),relation_dom(X4))
        | one_to_one(X4)
        | ~ relation(X4)
        | ~ function(X4) )
      & ( in(esk7_1(X4),relation_dom(X4))
        | one_to_one(X4)
        | ~ relation(X4)
        | ~ function(X4) )
      & ( apply(X4,esk6_1(X4)) = apply(X4,esk7_1(X4))
        | one_to_one(X4)
        | ~ relation(X4)
        | ~ function(X4) )
      & ( esk6_1(X4) != esk7_1(X4)
        | one_to_one(X4)
        | ~ relation(X4)
        | ~ function(X4) ) ),
    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)],[d8_funct_1])])])])])])]) ).

fof(c_0_15,negated_conjecture,
    ! [X6,X7] :
      ( relation(esk19_0)
      & function(esk19_0)
      & ( in(esk20_0,relation_rng(esk19_0))
        | ~ one_to_one(esk19_0) )
      & ( relation_inverse_image(esk19_0,singleton(esk20_0)) != singleton(X6)
        | ~ one_to_one(esk19_0) )
      & ( ~ in(X7,relation_rng(esk19_0))
        | relation_inverse_image(esk19_0,singleton(X7)) = singleton(esk21_1(X7))
        | one_to_one(esk19_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)],[c_0_13])])])])])])]) ).

fof(c_0_16,plain,
    ! [X5,X6,X7,X7,X9,X6,X11] :
      ( ( in(esk3_3(X5,X6,X7),relation_dom(X5))
        | ~ in(X7,X6)
        | X6 != relation_rng(X5)
        | ~ relation(X5)
        | ~ function(X5) )
      & ( X7 = apply(X5,esk3_3(X5,X6,X7))
        | ~ in(X7,X6)
        | X6 != relation_rng(X5)
        | ~ relation(X5)
        | ~ function(X5) )
      & ( ~ in(X9,relation_dom(X5))
        | X7 != apply(X5,X9)
        | in(X7,X6)
        | X6 != relation_rng(X5)
        | ~ relation(X5)
        | ~ function(X5) )
      & ( ~ in(esk4_2(X5,X6),X6)
        | ~ in(X11,relation_dom(X5))
        | esk4_2(X5,X6) != apply(X5,X11)
        | X6 = relation_rng(X5)
        | ~ relation(X5)
        | ~ function(X5) )
      & ( in(esk5_2(X5,X6),relation_dom(X5))
        | in(esk4_2(X5,X6),X6)
        | X6 = relation_rng(X5)
        | ~ relation(X5)
        | ~ function(X5) )
      & ( esk4_2(X5,X6) = apply(X5,esk5_2(X5,X6))
        | in(esk4_2(X5,X6),X6)
        | X6 = relation_rng(X5)
        | ~ relation(X5)
        | ~ function(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)],[d5_funct_1])])])])])])]) ).

cnf(c_0_17,plain,
    ( one_to_one(X1)
    | in(esk6_1(X1),relation_dom(X1))
    | ~ function(X1)
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_18,negated_conjecture,
    relation(esk19_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_19,negated_conjecture,
    function(esk19_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_20,plain,
    ! [X4,X5,X6,X6,X4,X5] :
      ( ( ~ in(X6,X5)
        | X6 = X4
        | X5 != singleton(X4) )
      & ( X6 != X4
        | in(X6,X5)
        | X5 != singleton(X4) )
      & ( ~ in(esk2_2(X4,X5),X5)
        | esk2_2(X4,X5) != X4
        | X5 = singleton(X4) )
      & ( in(esk2_2(X4,X5),X5)
        | esk2_2(X4,X5) = X4
        | X5 = singleton(X4) ) ),
    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)],[d1_tarski])])])])])])]) ).

cnf(c_0_21,plain,
    ( in(X3,X2)
    | ~ function(X1)
    | ~ relation(X1)
    | X2 != relation_rng(X1)
    | X3 != apply(X1,X4)
    | ~ in(X4,relation_dom(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_22,negated_conjecture,
    ( one_to_one(esk19_0)
    | in(esk6_1(esk19_0),relation_dom(esk19_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).

fof(c_0_23,plain,
    ! [X5,X6,X7,X8,X8,X6,X7] :
      ( ( in(X8,relation_dom(X5))
        | ~ in(X8,X7)
        | X7 != relation_inverse_image(X5,X6)
        | ~ relation(X5)
        | ~ function(X5) )
      & ( in(apply(X5,X8),X6)
        | ~ in(X8,X7)
        | X7 != relation_inverse_image(X5,X6)
        | ~ relation(X5)
        | ~ function(X5) )
      & ( ~ in(X8,relation_dom(X5))
        | ~ in(apply(X5,X8),X6)
        | in(X8,X7)
        | X7 != relation_inverse_image(X5,X6)
        | ~ relation(X5)
        | ~ function(X5) )
      & ( ~ in(esk1_3(X5,X6,X7),X7)
        | ~ in(esk1_3(X5,X6,X7),relation_dom(X5))
        | ~ in(apply(X5,esk1_3(X5,X6,X7)),X6)
        | X7 = relation_inverse_image(X5,X6)
        | ~ relation(X5)
        | ~ function(X5) )
      & ( in(esk1_3(X5,X6,X7),relation_dom(X5))
        | in(esk1_3(X5,X6,X7),X7)
        | X7 = relation_inverse_image(X5,X6)
        | ~ relation(X5)
        | ~ function(X5) )
      & ( in(apply(X5,esk1_3(X5,X6,X7)),X6)
        | in(esk1_3(X5,X6,X7),X7)
        | X7 = relation_inverse_image(X5,X6)
        | ~ relation(X5)
        | ~ function(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)],[d13_funct_1])])])])])])]) ).

cnf(c_0_24,plain,
    ( one_to_one(X1)
    | apply(X1,esk6_1(X1)) = apply(X1,esk7_1(X1))
    | ~ function(X1)
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_25,plain,
    ( one_to_one(X1)
    | in(esk7_1(X1),relation_dom(X1))
    | ~ function(X1)
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_26,plain,
    ( in(X3,X1)
    | X1 != singleton(X2)
    | X3 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_27,negated_conjecture,
    ( one_to_one(esk19_0)
    | in(X1,X2)
    | X1 != apply(esk19_0,esk6_1(esk19_0))
    | X2 != relation_rng(esk19_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_18]),c_0_19])]) ).

cnf(c_0_28,plain,
    ( in(X4,X2)
    | ~ function(X1)
    | ~ relation(X1)
    | X2 != relation_inverse_image(X1,X3)
    | ~ in(apply(X1,X4),X3)
    | ~ in(X4,relation_dom(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_29,negated_conjecture,
    ( apply(esk19_0,esk7_1(esk19_0)) = apply(esk19_0,esk6_1(esk19_0))
    | one_to_one(esk19_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_18]),c_0_19])]) ).

cnf(c_0_30,negated_conjecture,
    ( one_to_one(esk19_0)
    | in(esk7_1(esk19_0),relation_dom(esk19_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_18]),c_0_19])]) ).

cnf(c_0_31,plain,
    ( in(X1,X2)
    | X2 != singleton(X1) ),
    inference(er,[status(thm)],[c_0_26]) ).

cnf(c_0_32,negated_conjecture,
    ( one_to_one(esk19_0)
    | in(apply(esk19_0,esk6_1(esk19_0)),X1)
    | X1 != relation_rng(esk19_0) ),
    inference(er,[status(thm)],[c_0_27]) ).

cnf(c_0_33,negated_conjecture,
    ( one_to_one(esk19_0)
    | in(esk7_1(esk19_0),X1)
    | X1 != relation_inverse_image(esk19_0,X2)
    | ~ in(apply(esk19_0,esk6_1(esk19_0)),X2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_18]),c_0_19])]),c_0_30]) ).

cnf(c_0_34,plain,
    in(X1,singleton(X1)),
    inference(er,[status(thm)],[c_0_31]) ).

cnf(c_0_35,negated_conjecture,
    ( one_to_one(esk19_0)
    | relation_inverse_image(esk19_0,singleton(X1)) = singleton(esk21_1(X1))
    | ~ in(X1,relation_rng(esk19_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_36,negated_conjecture,
    ( one_to_one(esk19_0)
    | in(apply(esk19_0,esk6_1(esk19_0)),relation_rng(esk19_0)) ),
    inference(er,[status(thm)],[c_0_32]) ).

cnf(c_0_37,negated_conjecture,
    ( one_to_one(esk19_0)
    | in(esk7_1(esk19_0),X1)
    | X1 != relation_inverse_image(esk19_0,singleton(apply(esk19_0,esk6_1(esk19_0)))) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_38,negated_conjecture,
    ( relation_inverse_image(esk19_0,singleton(apply(esk19_0,esk6_1(esk19_0)))) = singleton(esk21_1(apply(esk19_0,esk6_1(esk19_0))))
    | one_to_one(esk19_0) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_39,negated_conjecture,
    ( one_to_one(esk19_0)
    | in(esk7_1(esk19_0),X1)
    | X1 != singleton(esk21_1(apply(esk19_0,esk6_1(esk19_0)))) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_40,plain,
    ( X3 = X2
    | X1 != singleton(X2)
    | ~ in(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_41,negated_conjecture,
    ( one_to_one(esk19_0)
    | in(esk7_1(esk19_0),singleton(esk21_1(apply(esk19_0,esk6_1(esk19_0))))) ),
    inference(er,[status(thm)],[c_0_39]) ).

cnf(c_0_42,plain,
    ( in(X1,X2)
    | X2 != relation_inverse_image(X3,singleton(apply(X3,X1)))
    | ~ relation(X3)
    | ~ function(X3)
    | ~ in(X1,relation_dom(X3)) ),
    inference(spm,[status(thm)],[c_0_28,c_0_34]) ).

cnf(c_0_43,negated_conjecture,
    ( X1 = esk7_1(esk19_0)
    | one_to_one(esk19_0)
    | singleton(esk21_1(apply(esk19_0,esk6_1(esk19_0)))) != singleton(X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

fof(c_0_44,plain,
    ! [X3,X4] :
      ( ~ in(X3,X4)
      | ~ empty(X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).

cnf(c_0_45,negated_conjecture,
    ( one_to_one(esk19_0)
    | in(esk6_1(esk19_0),X1)
    | X1 != singleton(esk21_1(apply(esk19_0,esk6_1(esk19_0)))) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_38]),c_0_18]),c_0_19])]),c_0_22]) ).

cnf(c_0_46,negated_conjecture,
    ( esk21_1(apply(esk19_0,esk6_1(esk19_0))) = esk7_1(esk19_0)
    | one_to_one(esk19_0) ),
    inference(er,[status(thm)],[c_0_43]) ).

cnf(c_0_47,plain,
    ( ~ empty(X1)
    | ~ in(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_48,plain,
    ( X1 = singleton(X2)
    | esk2_2(X2,X1) = X2
    | in(esk2_2(X2,X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_49,negated_conjecture,
    ( one_to_one(esk19_0)
    | in(esk6_1(esk19_0),X1)
    | X1 != singleton(esk7_1(esk19_0)) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_50,plain,
    ( esk2_2(X1,X2) = X1
    | X2 = singleton(X1)
    | ~ empty(X2) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_51,plain,
    empty(empty_set),
    inference(split_conjunct,[status(thm)],[fc12_relat_1]) ).

fof(c_0_52,plain,
    ( relation(esk17_0)
    & function(esk17_0)
    & one_to_one(esk17_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_funct_1])]) ).

fof(c_0_53,plain,
    ! [X4,X5,X6] :
      ( ~ in(X4,X5)
      | ~ element(X5,powerset(X6))
      | ~ empty(X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).

fof(c_0_54,plain,
    ! [X3] : element(esk8_1(X3),X3),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).

fof(c_0_55,plain,
    ! [X3,X4] :
      ( ~ element(X3,X4)
      | empty(X4)
      | in(X3,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).

cnf(c_0_56,negated_conjecture,
    ( one_to_one(esk19_0)
    | in(esk6_1(esk19_0),singleton(esk7_1(esk19_0))) ),
    inference(er,[status(thm)],[c_0_49]) ).

cnf(c_0_57,plain,
    ( one_to_one(X1)
    | ~ function(X1)
    | ~ relation(X1)
    | esk6_1(X1) != esk7_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_58,plain,
    ( X1 = singleton(X2)
    | esk2_2(X2,X1) != X2
    | ~ in(esk2_2(X2,X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_59,plain,
    ( esk2_2(X1,empty_set) = X1
    | singleton(X1) = empty_set ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_60,plain,
    ( X2 = relation_inverse_image(X1,X3)
    | in(esk1_3(X1,X3,X2),X2)
    | in(apply(X1,esk1_3(X1,X3,X2)),X3)
    | ~ function(X1)
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_61,plain,
    relation(esk17_0),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_62,plain,
    function(esk17_0),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_63,plain,
    ( ~ empty(X1)
    | ~ element(X2,powerset(X1))
    | ~ in(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_64,plain,
    element(esk8_1(X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_65,plain,
    ( in(X1,X2)
    | empty(X2)
    | ~ element(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_66,plain,
    ( X2 = relation_inverse_image(X1,X3)
    | in(esk1_3(X1,X3,X2),X2)
    | in(esk1_3(X1,X3,X2),relation_dom(X1))
    | ~ function(X1)
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_67,negated_conjecture,
    ( X1 = esk6_1(esk19_0)
    | one_to_one(esk19_0)
    | singleton(esk7_1(esk19_0)) != singleton(X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_56]) ).

cnf(c_0_68,negated_conjecture,
    ( one_to_one(esk19_0)
    | esk7_1(esk19_0) != esk6_1(esk19_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_18]),c_0_19])]) ).

fof(c_0_69,plain,
    ! [X2] : ~ empty(singleton(X2)),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[fc2_subset_1])]) ).

cnf(c_0_70,plain,
    ( singleton(X1) = empty_set
    | ~ in(X1,empty_set) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_71,plain,
    ( X1 = relation_inverse_image(esk17_0,X2)
    | in(apply(esk17_0,esk1_3(esk17_0,X2,X1)),X2)
    | in(esk1_3(esk17_0,X2,X1),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62])]) ).

cnf(c_0_72,plain,
    ( ~ empty(X1)
    | ~ in(X2,esk8_1(powerset(X1))) ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_73,plain,
    ( empty(X1)
    | in(esk8_1(X1),X1) ),
    inference(spm,[status(thm)],[c_0_65,c_0_64]) ).

cnf(c_0_74,negated_conjecture,
    ( X1 = relation_inverse_image(esk19_0,X2)
    | in(esk1_3(esk19_0,X2,X1),relation_dom(esk19_0))
    | in(esk1_3(esk19_0,X2,X1),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_18]),c_0_19])]) ).

cnf(c_0_75,negated_conjecture,
    ( in(esk20_0,relation_rng(esk19_0))
    | ~ one_to_one(esk19_0) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_76,negated_conjecture,
    one_to_one(esk19_0),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_67]),c_0_68]) ).

cnf(c_0_77,plain,
    ~ empty(singleton(X1)),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_78,plain,
    ( singleton(apply(esk17_0,esk1_3(esk17_0,empty_set,X1))) = empty_set
    | X1 = relation_inverse_image(esk17_0,empty_set)
    | in(esk1_3(esk17_0,empty_set,X1),X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

fof(c_0_79,plain,
    ! [X2] :
      ( ~ empty(X2)
      | X2 = empty_set ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).

cnf(c_0_80,plain,
    ( empty(esk8_1(powerset(X1)))
    | ~ empty(X1) ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_81,negated_conjecture,
    ( X1 = relation_inverse_image(esk19_0,X2)
    | in(esk1_3(esk19_0,X2,X1),relation_dom(esk19_0))
    | ~ empty(X1) ),
    inference(spm,[status(thm)],[c_0_47,c_0_74]) ).

cnf(c_0_82,plain,
    ( X3 = apply(X1,esk3_3(X1,X2,X3))
    | ~ function(X1)
    | ~ relation(X1)
    | X2 != relation_rng(X1)
    | ~ in(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_83,negated_conjecture,
    in(esk20_0,relation_rng(esk19_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_76])]) ).

cnf(c_0_84,plain,
    ( in(esk3_3(X1,X2,X3),relation_dom(X1))
    | ~ function(X1)
    | ~ relation(X1)
    | X2 != relation_rng(X1)
    | ~ in(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_85,plain,
    ( X1 = relation_inverse_image(esk17_0,empty_set)
    | in(esk1_3(esk17_0,empty_set,X1),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_51])]) ).

cnf(c_0_86,plain,
    ( X1 = empty_set
    | ~ empty(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_87,plain,
    empty(esk8_1(powerset(empty_set))),
    inference(spm,[status(thm)],[c_0_80,c_0_51]) ).

cnf(c_0_88,plain,
    ( X2 = X3
    | ~ function(X1)
    | ~ relation(X1)
    | apply(X1,X2) != apply(X1,X3)
    | ~ in(X3,relation_dom(X1))
    | ~ in(X2,relation_dom(X1))
    | ~ one_to_one(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_89,negated_conjecture,
    ( relation_inverse_image(esk19_0,X1) = empty_set
    | in(esk1_3(esk19_0,X1,empty_set),relation_dom(esk19_0)) ),
    inference(spm,[status(thm)],[c_0_81,c_0_51]) ).

cnf(c_0_90,negated_conjecture,
    ( apply(X1,esk3_3(X1,relation_rng(esk19_0),esk20_0)) = esk20_0
    | relation_rng(esk19_0) != relation_rng(X1)
    | ~ relation(X1)
    | ~ function(X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_91,negated_conjecture,
    ( in(esk3_3(X1,relation_rng(esk19_0),esk20_0),relation_dom(X1))
    | relation_rng(esk19_0) != relation_rng(X1)
    | ~ relation(X1)
    | ~ function(X1) ),
    inference(spm,[status(thm)],[c_0_84,c_0_83]) ).

cnf(c_0_92,negated_conjecture,
    ( X1 = relation_inverse_image(esk19_0,X2)
    | in(apply(esk19_0,esk1_3(esk19_0,X2,X1)),X2)
    | in(esk1_3(esk19_0,X2,X1),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_18]),c_0_19])]) ).

cnf(c_0_93,plain,
    ( singleton(esk1_3(esk17_0,empty_set,empty_set)) = empty_set
    | relation_inverse_image(esk17_0,empty_set) = empty_set ),
    inference(spm,[status(thm)],[c_0_70,c_0_85]) ).

cnf(c_0_94,plain,
    esk8_1(powerset(empty_set)) = empty_set,
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_95,negated_conjecture,
    ( X1 = esk1_3(esk19_0,X2,empty_set)
    | relation_inverse_image(esk19_0,X2) = empty_set
    | apply(esk19_0,X1) != apply(esk19_0,esk1_3(esk19_0,X2,empty_set))
    | ~ in(X1,relation_dom(esk19_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_18]),c_0_19])]),c_0_76])]) ).

cnf(c_0_96,negated_conjecture,
    apply(esk19_0,esk3_3(esk19_0,relation_rng(esk19_0),esk20_0)) = esk20_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_90]),c_0_18]),c_0_19])]) ).

cnf(c_0_97,negated_conjecture,
    in(esk3_3(esk19_0,relation_rng(esk19_0),esk20_0),relation_dom(esk19_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_91]),c_0_18]),c_0_19])]) ).

cnf(c_0_98,negated_conjecture,
    ( X1 = apply(esk19_0,esk1_3(esk19_0,X2,X3))
    | X3 = relation_inverse_image(esk19_0,X2)
    | in(esk1_3(esk19_0,X2,X3),X3)
    | X2 != singleton(X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_92]) ).

cnf(c_0_99,plain,
    ( in(apply(X1,X4),X3)
    | ~ function(X1)
    | ~ relation(X1)
    | X2 != relation_inverse_image(X1,X3)
    | ~ in(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_100,plain,
    relation_inverse_image(esk17_0,empty_set) = empty_set,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_93]),c_0_51])]) ).

cnf(c_0_101,plain,
    ~ in(X1,empty_set),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_94]),c_0_51])]) ).

cnf(c_0_102,plain,
    ( in(X1,relation_inverse_image(X2,singleton(apply(X2,X1))))
    | ~ relation(X2)
    | ~ function(X2)
    | ~ in(X1,relation_dom(X2)) ),
    inference(er,[status(thm)],[c_0_42]) ).

cnf(c_0_103,negated_conjecture,
    ( esk3_3(esk19_0,relation_rng(esk19_0),esk20_0) = esk1_3(esk19_0,X1,empty_set)
    | relation_inverse_image(esk19_0,X1) = empty_set
    | apply(esk19_0,esk1_3(esk19_0,X1,empty_set)) != esk20_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97])]) ).

cnf(c_0_104,negated_conjecture,
    ( apply(esk19_0,esk1_3(esk19_0,singleton(X1),X2)) = X1
    | X2 = relation_inverse_image(esk19_0,singleton(X1))
    | in(esk1_3(esk19_0,singleton(X1),X2),X2) ),
    inference(er,[status(thm)],[c_0_98]) ).

cnf(c_0_105,plain,
    ( X1 != empty_set
    | ~ in(X2,X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_61]),c_0_62])]),c_0_101]) ).

cnf(c_0_106,negated_conjecture,
    in(esk3_3(esk19_0,relation_rng(esk19_0),esk20_0),relation_inverse_image(esk19_0,singleton(esk20_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_97]),c_0_96]),c_0_18]),c_0_19])]) ).

cnf(c_0_107,negated_conjecture,
    ( esk3_3(esk19_0,relation_rng(esk19_0),esk20_0) = esk1_3(esk19_0,singleton(X1),empty_set)
    | relation_inverse_image(esk19_0,singleton(X1)) = empty_set
    | X1 != esk20_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_101]) ).

cnf(c_0_108,negated_conjecture,
    relation_inverse_image(esk19_0,singleton(esk20_0)) != empty_set,
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_109,plain,
    ( in(X4,relation_dom(X1))
    | ~ function(X1)
    | ~ relation(X1)
    | X2 != relation_inverse_image(X1,X3)
    | ~ in(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_110,plain,
    ( in(apply(X1,X2),X3)
    | ~ relation(X1)
    | ~ function(X1)
    | ~ in(X2,relation_inverse_image(X1,X3)) ),
    inference(er,[status(thm)],[c_0_99]) ).

cnf(c_0_111,negated_conjecture,
    ( X1 = esk1_3(esk19_0,X2,X3)
    | X3 = relation_inverse_image(esk19_0,X2)
    | in(esk1_3(esk19_0,X2,X3),X3)
    | apply(esk19_0,X1) != apply(esk19_0,esk1_3(esk19_0,X2,X3))
    | ~ one_to_one(esk19_0)
    | ~ in(X1,relation_dom(esk19_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_74]),c_0_18]),c_0_19])]) ).

cnf(c_0_112,negated_conjecture,
    esk3_3(esk19_0,relation_rng(esk19_0),esk20_0) = esk1_3(esk19_0,singleton(esk20_0),empty_set),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_107]),c_0_108]) ).

cnf(c_0_113,plain,
    ( in(X1,relation_dom(X2))
    | ~ relation(X2)
    | ~ function(X2)
    | ~ in(X1,relation_inverse_image(X2,X3)) ),
    inference(er,[status(thm)],[c_0_109]) ).

cnf(c_0_114,plain,
    ( esk2_2(X1,relation_inverse_image(X2,X3)) = X1
    | relation_inverse_image(X2,X3) = singleton(X1)
    | in(apply(X2,esk2_2(X1,relation_inverse_image(X2,X3))),X3)
    | ~ relation(X2)
    | ~ function(X2) ),
    inference(spm,[status(thm)],[c_0_110,c_0_48]) ).

cnf(c_0_115,negated_conjecture,
    ( X1 = esk1_3(esk19_0,X2,X3)
    | X3 = relation_inverse_image(esk19_0,X2)
    | in(esk1_3(esk19_0,X2,X3),X3)
    | apply(esk19_0,X1) != apply(esk19_0,esk1_3(esk19_0,X2,X3))
    | ~ in(X1,relation_dom(esk19_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_76])]) ).

cnf(c_0_116,negated_conjecture,
    apply(esk19_0,esk1_3(esk19_0,singleton(esk20_0),empty_set)) = esk20_0,
    inference(rw,[status(thm)],[c_0_96,c_0_112]) ).

cnf(c_0_117,plain,
    ( esk2_2(X1,relation_inverse_image(X2,X3)) = X1
    | relation_inverse_image(X2,X3) = singleton(X1)
    | in(esk2_2(X1,relation_inverse_image(X2,X3)),relation_dom(X2))
    | ~ relation(X2)
    | ~ function(X2) ),
    inference(spm,[status(thm)],[c_0_113,c_0_48]) ).

cnf(c_0_118,negated_conjecture,
    ( esk2_2(X1,relation_inverse_image(esk19_0,X2)) = X1
    | relation_inverse_image(esk19_0,X2) = singleton(X1)
    | in(apply(esk19_0,esk2_2(X1,relation_inverse_image(esk19_0,X2))),X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_18]),c_0_19])]) ).

cnf(c_0_119,negated_conjecture,
    ( X1 = esk1_3(esk19_0,singleton(esk20_0),empty_set)
    | apply(esk19_0,X1) != esk20_0
    | ~ in(X1,relation_dom(esk19_0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_108]),c_0_101]) ).

cnf(c_0_120,negated_conjecture,
    ( esk2_2(X1,relation_inverse_image(esk19_0,X2)) = X1
    | relation_inverse_image(esk19_0,X2) = singleton(X1)
    | in(esk2_2(X1,relation_inverse_image(esk19_0,X2)),relation_dom(esk19_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_18]),c_0_19])]) ).

cnf(c_0_121,negated_conjecture,
    ( X1 = apply(esk19_0,esk2_2(X2,relation_inverse_image(esk19_0,X3)))
    | esk2_2(X2,relation_inverse_image(esk19_0,X3)) = X2
    | relation_inverse_image(esk19_0,X3) = singleton(X2)
    | X3 != singleton(X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_118]) ).

cnf(c_0_122,negated_conjecture,
    ( esk2_2(X1,relation_inverse_image(esk19_0,X2)) = esk1_3(esk19_0,singleton(esk20_0),empty_set)
    | esk2_2(X1,relation_inverse_image(esk19_0,X2)) = X1
    | relation_inverse_image(esk19_0,X2) = singleton(X1)
    | apply(esk19_0,esk2_2(X1,relation_inverse_image(esk19_0,X2))) != esk20_0 ),
    inference(spm,[status(thm)],[c_0_119,c_0_120]) ).

cnf(c_0_123,negated_conjecture,
    ( apply(esk19_0,esk2_2(X1,relation_inverse_image(esk19_0,singleton(X2)))) = X2
    | esk2_2(X1,relation_inverse_image(esk19_0,singleton(X2))) = X1
    | relation_inverse_image(esk19_0,singleton(X2)) = singleton(X1) ),
    inference(er,[status(thm)],[c_0_121]) ).

cnf(c_0_124,negated_conjecture,
    ( ~ one_to_one(esk19_0)
    | relation_inverse_image(esk19_0,singleton(esk20_0)) != singleton(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_125,negated_conjecture,
    ( esk2_2(X1,relation_inverse_image(esk19_0,singleton(X2))) = esk1_3(esk19_0,singleton(esk20_0),empty_set)
    | esk2_2(X1,relation_inverse_image(esk19_0,singleton(X2))) = X1
    | relation_inverse_image(esk19_0,singleton(X2)) = singleton(X1)
    | X2 != esk20_0 ),
    inference(spm,[status(thm)],[c_0_122,c_0_123]) ).

cnf(c_0_126,negated_conjecture,
    relation_inverse_image(esk19_0,singleton(esk20_0)) != singleton(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_76])]) ).

cnf(c_0_127,negated_conjecture,
    ( esk2_2(X1,relation_inverse_image(esk19_0,singleton(esk20_0))) = esk1_3(esk19_0,singleton(esk20_0),empty_set)
    | esk2_2(X1,relation_inverse_image(esk19_0,singleton(esk20_0))) = X1 ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_125]),c_0_126]) ).

cnf(c_0_128,negated_conjecture,
    ( esk2_2(X1,relation_inverse_image(esk19_0,singleton(esk20_0))) = X1
    | esk1_3(esk19_0,singleton(esk20_0),empty_set) != X1 ),
    inference(ef,[status(thm)],[c_0_127]) ).

cnf(c_0_129,negated_conjecture,
    esk2_2(esk1_3(esk19_0,singleton(esk20_0),empty_set),relation_inverse_image(esk19_0,singleton(esk20_0))) = esk1_3(esk19_0,singleton(esk20_0),empty_set),
    inference(er,[status(thm)],[c_0_128]) ).

cnf(c_0_130,negated_conjecture,
    in(esk1_3(esk19_0,singleton(esk20_0),empty_set),relation_inverse_image(esk19_0,singleton(esk20_0))),
    inference(rw,[status(thm)],[c_0_106,c_0_112]) ).

cnf(c_0_131,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_129]),c_0_130])]),c_0_126]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SEU063+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.14  % Command  : run_ET %s %d
% 0.14/0.36  % Computer : n011.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sun Jun 19 16:28:39 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.42/23.44  eprover: CPU time limit exceeded, terminating
% 0.42/23.44  eprover: CPU time limit exceeded, terminating
% 0.42/23.44  eprover: CPU time limit exceeded, terminating
% 0.42/23.45  eprover: CPU time limit exceeded, terminating
% 0.60/46.45  eprover: CPU time limit exceeded, terminating
% 0.60/46.46  eprover: CPU time limit exceeded, terminating
% 0.60/46.46  eprover: CPU time limit exceeded, terminating
% 0.60/46.47  eprover: CPU time limit exceeded, terminating
% 0.61/47.80  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.61/47.80  
% 0.61/47.80  # Failure: Resource limit exceeded (time)
% 0.61/47.80  # OLD status Res
% 0.61/47.80  # Preprocessing time       : 0.018 s
% 0.61/47.80  # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.61/47.80  
% 0.61/47.80  # Failure: Resource limit exceeded (time)
% 0.61/47.80  # OLD status Res
% 0.61/47.80  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.61/47.80  # Preprocessing time       : 0.010 s
% 0.61/47.80  # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 0.61/47.80  # Preprocessing time       : 0.020 s
% 0.61/47.80  
% 0.61/47.80  # Proof found!
% 0.61/47.80  # SZS status Theorem
% 0.61/47.80  # SZS output start CNFRefutation
% See solution above
% 0.61/47.80  # Proof object total steps             : 132
% 0.61/47.80  # Proof object clause steps            : 106
% 0.61/47.80  # Proof object formula steps           : 26
% 0.61/47.80  # Proof object conjectures             : 60
% 0.61/47.80  # Proof object clause conjectures      : 57
% 0.61/47.80  # Proof object formula conjectures     : 3
% 0.61/47.80  # Proof object initial clauses used    : 31
% 0.61/47.80  # Proof object initial formulas used   : 13
% 0.61/47.80  # Proof object generating inferences   : 69
% 0.61/47.80  # Proof object simplifying inferences  : 77
% 0.61/47.80  # Training examples: 0 positive, 0 negative
% 0.61/47.80  # Parsed axioms                        : 39
% 0.61/47.80  # Removed by relevancy pruning/SinE    : 0
% 0.61/47.80  # Initial clauses                      : 78
% 0.61/47.80  # Removed in clause preprocessing      : 2
% 0.61/47.80  # Initial clauses in saturation        : 76
% 0.61/47.80  # Processed clauses                    : 5261
% 0.61/47.80  # ...of these trivial                  : 62
% 0.61/47.80  # ...subsumed                          : 1583
% 0.61/47.80  # ...remaining for further processing  : 3616
% 0.61/47.80  # Other redundant clauses eliminated   : 39
% 0.61/47.80  # Clauses deleted for lack of memory   : 0
% 0.61/47.80  # Backward-subsumed                    : 449
% 0.61/47.80  # Backward-rewritten                   : 453
% 0.61/47.80  # Generated clauses                    : 22303
% 0.61/47.80  # ...of the previous two non-trivial   : 20719
% 0.61/47.80  # Contextual simplify-reflections      : 1435
% 0.61/47.80  # Paramodulations                      : 21584
% 0.61/47.80  # Factorizations                       : 77
% 0.61/47.80  # Equation resolutions                 : 635
% 0.61/47.80  # Current number of processed clauses  : 2706
% 0.61/47.80  #    Positive orientable unit clauses  : 95
% 0.61/47.80  #    Positive unorientable unit clauses: 0
% 0.61/47.80  #    Negative unit clauses             : 68
% 0.61/47.80  #    Non-unit-clauses                  : 2543
% 0.61/47.80  # Current number of unprocessed clauses: 9837
% 0.61/47.80  # ...number of literals in the above   : 48263
% 0.61/47.80  # Current number of archived formulas  : 0
% 0.61/47.80  # Current number of archived clauses   : 909
% 0.61/47.80  # Clause-clause subsumption calls (NU) : 1254437
% 0.61/47.80  # Rec. Clause-clause subsumption calls : 274317
% 0.61/47.80  # Non-unit clause-clause subsumptions  : 3177
% 0.61/47.80  # Unit Clause-clause subsumption calls : 15266
% 0.61/47.80  # Rewrite failures with RHS unbound    : 0
% 0.61/47.80  # BW rewrite match attempts            : 313
% 0.61/47.80  # BW rewrite match successes           : 31
% 0.61/47.80  # Condensation attempts                : 0
% 0.61/47.80  # Condensation successes               : 0
% 0.61/47.80  # Termbank termtop insertions          : 608954
% 0.61/47.80  
% 0.61/47.80  # -------------------------------------------------
% 0.61/47.80  # User time                : 1.271 s
% 0.61/47.80  # System time              : 0.019 s
% 0.61/47.80  # Total time               : 1.291 s
% 0.61/47.80  # Maximum resident set size: 20948 pages
% 0.61/69.46  eprover: CPU time limit exceeded, terminating
% 0.61/69.47  eprover: CPU time limit exceeded, terminating
% 0.61/69.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/69.48  eprover: No such file or directory
% 0.61/69.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/69.48  eprover: No such file or directory
% 0.61/69.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/69.49  eprover: No such file or directory
% 0.61/69.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/69.49  eprover: No such file or directory
% 0.61/69.49  eprover: CPU time limit exceeded, terminating
% 0.61/69.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/69.49  eprover: No such file or directory
% 0.61/69.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/69.49  eprover: No such file or directory
% 0.61/69.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/69.50  eprover: No such file or directory
% 0.61/69.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/69.50  eprover: No such file or directory
% 0.61/69.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/69.50  eprover: No such file or directory
% 0.61/69.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/69.51  eprover: No such file or directory
% 0.61/69.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/69.51  eprover: No such file or directory
% 0.61/69.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/69.51  eprover: No such file or directory
% 0.61/69.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/69.51  eprover: No such file or directory
% 0.61/69.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/69.51  eprover: No such file or directory
% 0.61/69.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/69.51  eprover: No such file or directory
% 0.61/69.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/69.52  eprover: No such file or directory
% 0.61/69.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/69.52  eprover: No such file or directory
% 0.61/69.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/69.52  eprover: No such file or directory
% 0.61/69.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/69.52  eprover: No such file or directory
% 0.61/69.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/69.52  eprover: No such file or directory
% 0.61/69.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/69.52  eprover: No such file or directory
% 0.61/69.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/69.53  eprover: No such file or directory
% 0.61/69.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/69.53  eprover: No such file or directory
% 0.61/69.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.61/69.53  eprover: No such file or directory
% 0.61/69.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/69.53  eprover: No such file or directory
% 0.61/69.54  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/69.54  eprover: No such file or directory
% 0.61/69.54  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.61/69.54  eprover: No such file or directory
%------------------------------------------------------------------------------