TSTP Solution File: SEU027+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SEU027+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n008.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 09:16:28 EDT 2022

% Result   : Theorem 0.25s 3.43s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   45 (  16 unt;   0 def)
%            Number of atoms       :  356 ( 125 equ)
%            Maximal formula atoms :  130 (   7 avg)
%            Number of connectives :  526 ( 215   ~; 231   |;  56   &)
%                                         (   5 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (   6 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   2 con; 0-3 aty)
%            Number of variables   :   71 (   4 sgn  37   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t60_funct_1,conjecture,
    ! [X1] :
      ( ( relation(X1)
        & function(X1) )
     => ! [X2] :
          ( ( relation(X2)
            & function(X2) )
         => ( ( one_to_one(X1)
              & relation_dom(X1) = relation_rng(X2)
              & relation_rng(X1) = relation_dom(X2)
              & ! [X3,X4] :
                  ( ( in(X3,relation_dom(X1))
                    & in(X4,relation_dom(X2)) )
                 => ( apply(X1,X3) = X4
                  <=> apply(X2,X4) = X3 ) ) )
           => X2 = function_inverse(X1) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t60_funct_1) ).

fof(t54_funct_1,axiom,
    ! [X1] :
      ( ( relation(X1)
        & function(X1) )
     => ( one_to_one(X1)
       => ! [X2] :
            ( ( relation(X2)
              & function(X2) )
           => ( X2 = function_inverse(X1)
            <=> ( relation_dom(X2) = relation_rng(X1)
                & ! [X3,X4] :
                    ( ( ( in(X3,relation_rng(X1))
                        & X4 = apply(X2,X3) )
                     => ( in(X4,relation_dom(X1))
                        & X3 = apply(X1,X4) ) )
                    & ( ( in(X4,relation_dom(X1))
                        & X3 = apply(X1,X4) )
                     => ( in(X3,relation_rng(X1))
                        & X4 = apply(X2,X3) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t54_funct_1) ).

fof(dt_k2_funct_1,axiom,
    ! [X1] :
      ( ( relation(X1)
        & function(X1) )
     => ( relation(function_inverse(X1))
        & function(function_inverse(X1)) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_k2_funct_1) ).

fof(t9_funct_1,axiom,
    ! [X1] :
      ( ( relation(X1)
        & function(X1) )
     => ! [X2] :
          ( ( relation(X2)
            & function(X2) )
         => ( ( relation_dom(X1) = relation_dom(X2)
              & ! [X3] :
                  ( in(X3,relation_dom(X1))
                 => apply(X1,X3) = apply(X2,X3) ) )
           => X1 = X2 ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t9_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/sandbox2/solver/bin/../tmp/theBenchmark.p',d5_funct_1) ).

fof(c_0_5,negated_conjecture,
    ~ ! [X1] :
        ( ( relation(X1)
          & function(X1) )
       => ! [X2] :
            ( ( relation(X2)
              & function(X2) )
           => ( ( one_to_one(X1)
                & relation_dom(X1) = relation_rng(X2)
                & relation_rng(X1) = relation_dom(X2)
                & ! [X3,X4] :
                    ( ( in(X3,relation_dom(X1))
                      & in(X4,relation_dom(X2)) )
                   => ( apply(X1,X3) = X4
                    <=> apply(X2,X4) = X3 ) ) )
             => X2 = function_inverse(X1) ) ) ),
    inference(assume_negation,[status(cth)],[t60_funct_1]) ).

fof(c_0_6,plain,
    ! [X5,X6,X7,X8,X7,X8] :
      ( ( relation_dom(X6) = relation_rng(X5)
        | X6 != function_inverse(X5)
        | ~ relation(X6)
        | ~ function(X6)
        | ~ one_to_one(X5)
        | ~ relation(X5)
        | ~ function(X5) )
      & ( in(X8,relation_dom(X5))
        | ~ in(X7,relation_rng(X5))
        | X8 != apply(X6,X7)
        | X6 != function_inverse(X5)
        | ~ relation(X6)
        | ~ function(X6)
        | ~ one_to_one(X5)
        | ~ relation(X5)
        | ~ function(X5) )
      & ( X7 = apply(X5,X8)
        | ~ in(X7,relation_rng(X5))
        | X8 != apply(X6,X7)
        | X6 != function_inverse(X5)
        | ~ relation(X6)
        | ~ function(X6)
        | ~ one_to_one(X5)
        | ~ relation(X5)
        | ~ function(X5) )
      & ( in(X7,relation_rng(X5))
        | ~ in(X8,relation_dom(X5))
        | X7 != apply(X5,X8)
        | X6 != function_inverse(X5)
        | ~ relation(X6)
        | ~ function(X6)
        | ~ one_to_one(X5)
        | ~ relation(X5)
        | ~ function(X5) )
      & ( X8 = apply(X6,X7)
        | ~ in(X8,relation_dom(X5))
        | X7 != apply(X5,X8)
        | X6 != function_inverse(X5)
        | ~ relation(X6)
        | ~ function(X6)
        | ~ one_to_one(X5)
        | ~ relation(X5)
        | ~ function(X5) )
      & ( in(esk6_2(X5,X6),relation_dom(X5))
        | in(esk3_2(X5,X6),relation_rng(X5))
        | relation_dom(X6) != relation_rng(X5)
        | X6 = function_inverse(X5)
        | ~ relation(X6)
        | ~ function(X6)
        | ~ one_to_one(X5)
        | ~ relation(X5)
        | ~ function(X5) )
      & ( esk5_2(X5,X6) = apply(X5,esk6_2(X5,X6))
        | in(esk3_2(X5,X6),relation_rng(X5))
        | relation_dom(X6) != relation_rng(X5)
        | X6 = function_inverse(X5)
        | ~ relation(X6)
        | ~ function(X6)
        | ~ one_to_one(X5)
        | ~ relation(X5)
        | ~ function(X5) )
      & ( ~ in(esk5_2(X5,X6),relation_rng(X5))
        | esk6_2(X5,X6) != apply(X6,esk5_2(X5,X6))
        | in(esk3_2(X5,X6),relation_rng(X5))
        | relation_dom(X6) != relation_rng(X5)
        | X6 = function_inverse(X5)
        | ~ relation(X6)
        | ~ function(X6)
        | ~ one_to_one(X5)
        | ~ relation(X5)
        | ~ function(X5) )
      & ( in(esk6_2(X5,X6),relation_dom(X5))
        | esk4_2(X5,X6) = apply(X6,esk3_2(X5,X6))
        | relation_dom(X6) != relation_rng(X5)
        | X6 = function_inverse(X5)
        | ~ relation(X6)
        | ~ function(X6)
        | ~ one_to_one(X5)
        | ~ relation(X5)
        | ~ function(X5) )
      & ( esk5_2(X5,X6) = apply(X5,esk6_2(X5,X6))
        | esk4_2(X5,X6) = apply(X6,esk3_2(X5,X6))
        | relation_dom(X6) != relation_rng(X5)
        | X6 = function_inverse(X5)
        | ~ relation(X6)
        | ~ function(X6)
        | ~ one_to_one(X5)
        | ~ relation(X5)
        | ~ function(X5) )
      & ( ~ in(esk5_2(X5,X6),relation_rng(X5))
        | esk6_2(X5,X6) != apply(X6,esk5_2(X5,X6))
        | esk4_2(X5,X6) = apply(X6,esk3_2(X5,X6))
        | relation_dom(X6) != relation_rng(X5)
        | X6 = function_inverse(X5)
        | ~ relation(X6)
        | ~ function(X6)
        | ~ one_to_one(X5)
        | ~ relation(X5)
        | ~ function(X5) )
      & ( in(esk6_2(X5,X6),relation_dom(X5))
        | ~ in(esk4_2(X5,X6),relation_dom(X5))
        | esk3_2(X5,X6) != apply(X5,esk4_2(X5,X6))
        | relation_dom(X6) != relation_rng(X5)
        | X6 = function_inverse(X5)
        | ~ relation(X6)
        | ~ function(X6)
        | ~ one_to_one(X5)
        | ~ relation(X5)
        | ~ function(X5) )
      & ( esk5_2(X5,X6) = apply(X5,esk6_2(X5,X6))
        | ~ in(esk4_2(X5,X6),relation_dom(X5))
        | esk3_2(X5,X6) != apply(X5,esk4_2(X5,X6))
        | relation_dom(X6) != relation_rng(X5)
        | X6 = function_inverse(X5)
        | ~ relation(X6)
        | ~ function(X6)
        | ~ one_to_one(X5)
        | ~ relation(X5)
        | ~ function(X5) )
      & ( ~ in(esk5_2(X5,X6),relation_rng(X5))
        | esk6_2(X5,X6) != apply(X6,esk5_2(X5,X6))
        | ~ in(esk4_2(X5,X6),relation_dom(X5))
        | esk3_2(X5,X6) != apply(X5,esk4_2(X5,X6))
        | relation_dom(X6) != relation_rng(X5)
        | X6 = function_inverse(X5)
        | ~ relation(X6)
        | ~ function(X6)
        | ~ one_to_one(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)],[t54_funct_1])])])])])])]) ).

fof(c_0_7,plain,
    ! [X2] :
      ( ( relation(function_inverse(X2))
        | ~ relation(X2)
        | ~ function(X2) )
      & ( function(function_inverse(X2))
        | ~ relation(X2)
        | ~ function(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_funct_1])])]) ).

fof(c_0_8,plain,
    ! [X4,X5] :
      ( ( in(esk10_2(X4,X5),relation_dom(X4))
        | relation_dom(X4) != relation_dom(X5)
        | X4 = X5
        | ~ relation(X5)
        | ~ function(X5)
        | ~ relation(X4)
        | ~ function(X4) )
      & ( apply(X4,esk10_2(X4,X5)) != apply(X5,esk10_2(X4,X5))
        | relation_dom(X4) != relation_dom(X5)
        | X4 = X5
        | ~ relation(X5)
        | ~ function(X5)
        | ~ 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)],[t9_funct_1])])])])])])]) ).

fof(c_0_9,negated_conjecture,
    ! [X7,X8] :
      ( relation(esk1_0)
      & function(esk1_0)
      & relation(esk2_0)
      & function(esk2_0)
      & one_to_one(esk1_0)
      & relation_dom(esk1_0) = relation_rng(esk2_0)
      & relation_rng(esk1_0) = relation_dom(esk2_0)
      & ( apply(esk1_0,X7) != X8
        | apply(esk2_0,X8) = X7
        | ~ in(X7,relation_dom(esk1_0))
        | ~ in(X8,relation_dom(esk2_0)) )
      & ( apply(esk2_0,X8) != X7
        | apply(esk1_0,X7) = X8
        | ~ in(X7,relation_dom(esk1_0))
        | ~ in(X8,relation_dom(esk2_0)) )
      & esk2_0 != function_inverse(esk1_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_5])])])])])])]) ).

cnf(c_0_10,plain,
    ( relation_dom(X2) = relation_rng(X1)
    | ~ function(X1)
    | ~ relation(X1)
    | ~ one_to_one(X1)
    | ~ function(X2)
    | ~ relation(X2)
    | X2 != function_inverse(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,plain,
    ( function(function_inverse(X1))
    | ~ function(X1)
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    ( relation(function_inverse(X1))
    | ~ function(X1)
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_13,plain,
    ! [X5,X6,X7,X7,X9,X6,X11] :
      ( ( in(esk7_3(X5,X6,X7),relation_dom(X5))
        | ~ in(X7,X6)
        | X6 != relation_rng(X5)
        | ~ relation(X5)
        | ~ function(X5) )
      & ( X7 = apply(X5,esk7_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(esk8_2(X5,X6),X6)
        | ~ in(X11,relation_dom(X5))
        | esk8_2(X5,X6) != apply(X5,X11)
        | X6 = relation_rng(X5)
        | ~ relation(X5)
        | ~ function(X5) )
      & ( in(esk9_2(X5,X6),relation_dom(X5))
        | in(esk8_2(X5,X6),X6)
        | X6 = relation_rng(X5)
        | ~ relation(X5)
        | ~ function(X5) )
      & ( esk8_2(X5,X6) = apply(X5,esk9_2(X5,X6))
        | in(esk8_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_14,plain,
    ( X1 = X2
    | in(esk10_2(X1,X2),relation_dom(X1))
    | ~ function(X1)
    | ~ relation(X1)
    | ~ function(X2)
    | ~ relation(X2)
    | relation_dom(X1) != relation_dom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_15,negated_conjecture,
    relation(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_16,negated_conjecture,
    relation_rng(esk1_0) = relation_dom(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_17,negated_conjecture,
    function(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_18,plain,
    ( relation_dom(function_inverse(X1)) = relation_rng(X1)
    | ~ one_to_one(X1)
    | ~ relation(X1)
    | ~ function(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_10]),c_0_11]),c_0_12]) ).

cnf(c_0_19,negated_conjecture,
    one_to_one(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_20,negated_conjecture,
    relation(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_21,negated_conjecture,
    function(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_22,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_13]) ).

cnf(c_0_23,negated_conjecture,
    relation_dom(esk1_0) = relation_rng(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_24,negated_conjecture,
    ( X1 = esk2_0
    | in(esk10_2(X1,esk2_0),relation_dom(X1))
    | relation_dom(X1) != relation_rng(esk1_0)
    | ~ relation(X1)
    | ~ function(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17])]) ).

cnf(c_0_25,negated_conjecture,
    relation_dom(function_inverse(esk1_0)) = relation_rng(esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21])]) ).

cnf(c_0_26,negated_conjecture,
    relation(function_inverse(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_20]),c_0_21])]) ).

cnf(c_0_27,negated_conjecture,
    function(function_inverse(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_20]),c_0_21])]) ).

cnf(c_0_28,negated_conjecture,
    esk2_0 != function_inverse(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_29,negated_conjecture,
    ( in(X1,X2)
    | X1 != apply(esk2_0,X3)
    | X2 != relation_dom(esk1_0)
    | ~ in(X3,relation_rng(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_16]),c_0_23]),c_0_15]),c_0_17])]) ).

cnf(c_0_30,negated_conjecture,
    in(esk10_2(function_inverse(esk1_0),esk2_0),relation_rng(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]),c_0_28]) ).

cnf(c_0_31,negated_conjecture,
    ( in(X1,X2)
    | X1 != apply(esk2_0,esk10_2(function_inverse(esk1_0),esk2_0))
    | X2 != relation_dom(esk1_0) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_32,negated_conjecture,
    ( apply(esk1_0,X2) = X1
    | ~ in(X1,relation_dom(esk2_0))
    | ~ in(X2,relation_dom(esk1_0))
    | apply(esk2_0,X1) != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_33,negated_conjecture,
    ( in(apply(esk2_0,esk10_2(function_inverse(esk1_0),esk2_0)),X1)
    | X1 != relation_dom(esk1_0) ),
    inference(er,[status(thm)],[c_0_31]) ).

cnf(c_0_34,negated_conjecture,
    ( apply(esk1_0,X1) = X2
    | apply(esk2_0,X2) != X1
    | ~ in(X1,relation_dom(esk1_0))
    | ~ in(X2,relation_rng(esk1_0)) ),
    inference(rw,[status(thm)],[c_0_32,c_0_16]) ).

cnf(c_0_35,negated_conjecture,
    in(apply(esk2_0,esk10_2(function_inverse(esk1_0),esk2_0)),relation_dom(esk1_0)),
    inference(er,[status(thm)],[c_0_33]) ).

cnf(c_0_36,negated_conjecture,
    ( apply(esk1_0,apply(esk2_0,esk10_2(function_inverse(esk1_0),esk2_0))) = X1
    | apply(esk2_0,X1) != apply(esk2_0,esk10_2(function_inverse(esk1_0),esk2_0))
    | ~ in(X1,relation_rng(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_37,plain,
    ( X4 = apply(X2,X3)
    | ~ function(X1)
    | ~ relation(X1)
    | ~ one_to_one(X1)
    | ~ function(X2)
    | ~ relation(X2)
    | X2 != function_inverse(X1)
    | X3 != apply(X1,X4)
    | ~ in(X4,relation_dom(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_38,negated_conjecture,
    apply(esk1_0,apply(esk2_0,esk10_2(function_inverse(esk1_0),esk2_0))) = esk10_2(function_inverse(esk1_0),esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_36]),c_0_30])]) ).

cnf(c_0_39,negated_conjecture,
    ( apply(esk2_0,esk10_2(function_inverse(esk1_0),esk2_0)) = apply(X1,X2)
    | X2 != esk10_2(function_inverse(esk1_0),esk2_0)
    | X1 != function_inverse(esk1_0)
    | ~ relation(X1)
    | ~ function(X1) ),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_35]),c_0_19]),c_0_20]),c_0_21])]),c_0_38]) ).

cnf(c_0_40,plain,
    ( X1 = X2
    | ~ function(X1)
    | ~ relation(X1)
    | ~ function(X2)
    | ~ relation(X2)
    | relation_dom(X1) != relation_dom(X2)
    | apply(X1,esk10_2(X1,X2)) != apply(X2,esk10_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_41,negated_conjecture,
    ( apply(esk2_0,esk10_2(function_inverse(esk1_0),esk2_0)) = apply(X1,esk10_2(function_inverse(esk1_0),esk2_0))
    | X1 != function_inverse(esk1_0)
    | ~ relation(X1)
    | ~ function(X1) ),
    inference(er,[status(thm)],[c_0_39]) ).

cnf(c_0_42,negated_conjecture,
    ( X1 = esk2_0
    | apply(X1,esk10_2(X1,esk2_0)) != apply(esk2_0,esk10_2(X1,esk2_0))
    | relation_dom(X1) != relation_rng(esk1_0)
    | ~ relation(X1)
    | ~ function(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_15]),c_0_16]),c_0_17])]) ).

cnf(c_0_43,negated_conjecture,
    apply(esk2_0,esk10_2(function_inverse(esk1_0),esk2_0)) = apply(function_inverse(esk1_0),esk10_2(function_inverse(esk1_0),esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_41]),c_0_26]),c_0_27])]) ).

cnf(c_0_44,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_25]),c_0_26]),c_0_27])]),c_0_28]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SEU027+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jun 20 13:25:22 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.25/3.43  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.25/3.43  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.25/3.43  # Preprocessing time       : 0.018 s
% 0.25/3.43  
% 0.25/3.43  # Proof found!
% 0.25/3.43  # SZS status Theorem
% 0.25/3.43  # SZS output start CNFRefutation
% See solution above
% 0.25/3.43  # Proof object total steps             : 45
% 0.25/3.43  # Proof object clause steps            : 34
% 0.25/3.43  # Proof object formula steps           : 11
% 0.25/3.43  # Proof object conjectures             : 29
% 0.25/3.43  # Proof object clause conjectures      : 26
% 0.25/3.43  # Proof object formula conjectures     : 3
% 0.25/3.43  # Proof object initial clauses used    : 16
% 0.25/3.43  # Proof object initial formulas used   : 5
% 0.25/3.43  # Proof object generating inferences   : 17
% 0.25/3.43  # Proof object simplifying inferences  : 39
% 0.25/3.43  # Training examples: 0 positive, 0 negative
% 0.25/3.43  # Parsed axioms                        : 37
% 0.25/3.43  # Removed by relevancy pruning/SinE    : 15
% 0.25/3.43  # Initial clauses                      : 62
% 0.25/3.43  # Removed in clause preprocessing      : 2
% 0.25/3.43  # Initial clauses in saturation        : 60
% 0.25/3.43  # Processed clauses                    : 3236
% 0.25/3.43  # ...of these trivial                  : 17
% 0.25/3.43  # ...subsumed                          : 91
% 0.25/3.43  # ...remaining for further processing  : 3128
% 0.25/3.43  # Other redundant clauses eliminated   : 0
% 0.25/3.43  # Clauses deleted for lack of memory   : 0
% 0.25/3.43  # Backward-subsumed                    : 2
% 0.25/3.43  # Backward-rewritten                   : 177
% 0.25/3.43  # Generated clauses                    : 8568
% 0.25/3.43  # ...of the previous two non-trivial   : 8320
% 0.25/3.43  # Contextual simplify-reflections      : 76
% 0.25/3.43  # Paramodulations                      : 8056
% 0.25/3.43  # Factorizations                       : 12
% 0.25/3.43  # Equation resolutions                 : 500
% 0.25/3.43  # Current number of processed clauses  : 2949
% 0.25/3.43  #    Positive orientable unit clauses  : 1616
% 0.25/3.43  #    Positive unorientable unit clauses: 0
% 0.25/3.43  #    Negative unit clauses             : 20
% 0.25/3.43  #    Non-unit-clauses                  : 1313
% 0.25/3.43  # Current number of unprocessed clauses: 4651
% 0.25/3.43  # ...number of literals in the above   : 18717
% 0.25/3.43  # Current number of archived formulas  : 0
% 0.25/3.43  # Current number of archived clauses   : 179
% 0.25/3.43  # Clause-clause subsumption calls (NU) : 526503
% 0.25/3.43  # Rec. Clause-clause subsumption calls : 60108
% 0.25/3.43  # Non-unit clause-clause subsumptions  : 112
% 0.25/3.43  # Unit Clause-clause subsumption calls : 566927
% 0.25/3.43  # Rewrite failures with RHS unbound    : 0
% 0.25/3.43  # BW rewrite match attempts            : 608989
% 0.25/3.43  # BW rewrite match successes           : 15
% 0.25/3.43  # Condensation attempts                : 0
% 0.25/3.43  # Condensation successes               : 0
% 0.25/3.43  # Termbank termtop insertions          : 4413455
% 0.25/3.43  
% 0.25/3.43  # -------------------------------------------------
% 0.25/3.43  # User time                : 2.385 s
% 0.25/3.43  # System time              : 0.033 s
% 0.25/3.43  # Total time               : 2.418 s
% 0.25/3.43  # Maximum resident set size: 57896 pages
% 0.25/23.41  eprover: CPU time limit exceeded, terminating
% 0.25/23.42  eprover: CPU time limit exceeded, terminating
% 0.25/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.43  eprover: No such file or directory
% 0.25/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.43  eprover: No such file or directory
% 0.25/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.43  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48  eprover: No such file or directory
%------------------------------------------------------------------------------