TSTP Solution File: SEU447+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SEU447+1 : TPTP v8.1.0. Released v3.4.0.
% 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 09:20:23 EDT 2022

% Result   : Theorem 0.22s 1.40s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   65 (  10 unt;   0 def)
%            Number of atoms       :  158 (  30 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  168 (  75   ~;  64   |;   7   &)
%                                         (   1 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-5 aty)
%            Number of variables   :  180 (  11 sgn 107   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t59_relset_2,conjecture,
    ! [X1,X2,X3,X4] :
      ( m1_subset_1(X4,k1_zfmisc_1(X1))
     => ! [X5] :
          ( m2_relset_1(X5,X1,X2)
         => ! [X6] :
              ( m2_relset_1(X6,X2,X3)
             => k8_relset_2(X2,X3,k10_relset_1(X1,X2,X5,X4),X6) = k8_relset_2(X1,X3,X4,k3_subset_1(k2_zfmisc_1(X1,X3),k9_relset_2(X1,X2,X3,X5,k3_subset_1(k2_zfmisc_1(X2,X3),X6)))) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t59_relset_2) ).

fof(redefinition_k9_relset_2,axiom,
    ! [X1,X2,X3,X4,X5] :
      ( ( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
        & m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) )
     => k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k9_relset_2) ).

fof(dt_k10_relset_1,axiom,
    ! [X1,X2,X3,X4] :
      ( m1_relset_1(X3,X1,X2)
     => m1_subset_1(k10_relset_1(X1,X2,X3,X4),k1_zfmisc_1(X2)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k10_relset_1) ).

fof(redefinition_k10_relset_1,axiom,
    ! [X1,X2,X3,X4] :
      ( m1_relset_1(X3,X1,X2)
     => k10_relset_1(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k10_relset_1) ).

fof(dt_m2_relset_1,axiom,
    ! [X1,X2,X3] :
      ( m2_relset_1(X3,X1,X2)
     => m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_m2_relset_1) ).

fof(redefinition_m2_relset_1,axiom,
    ! [X1,X2,X3] :
      ( m2_relset_1(X3,X1,X2)
    <=> m1_relset_1(X3,X1,X2) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_m2_relset_1) ).

fof(involutiveness_k3_subset_1,axiom,
    ! [X1,X2] :
      ( m1_subset_1(X2,k1_zfmisc_1(X1))
     => k3_subset_1(X1,k3_subset_1(X1,X2)) = X2 ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',involutiveness_k3_subset_1) ).

fof(t49_relset_2,axiom,
    ! [X1,X2,X3] :
      ( m1_subset_1(X3,k1_zfmisc_1(X1))
     => ! [X4] :
          ( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
         => k3_subset_1(X2,k8_relset_2(X1,X2,X3,X4)) = k9_relat_1(k3_subset_1(k2_zfmisc_1(X1,X2),X4),X3) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t49_relset_2) ).

fof(dt_k8_relset_2,axiom,
    ! [X1,X2,X3,X4] :
      ( ( m1_subset_1(X3,k1_zfmisc_1(X1))
        & m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
     => m1_subset_1(k8_relset_2(X1,X2,X3,X4),k1_zfmisc_1(X2)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k8_relset_2) ).

fof(t50_relset_2,axiom,
    ! [X1,X2,X3] :
      ( m1_subset_1(X3,k1_zfmisc_1(X1))
     => ! [X4] :
          ( m2_relset_1(X4,X1,X2)
         => k3_subset_1(X2,k10_relset_1(X1,X2,X4,X3)) = k8_relset_2(X1,X2,X3,k3_subset_1(k2_zfmisc_1(X1,X2),X4)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t50_relset_2) ).

fof(cc1_relset_1,axiom,
    ! [X1,X2,X3] :
      ( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
     => v1_relat_1(X3) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cc1_relset_1) ).

fof(dt_k9_relset_2,axiom,
    ! [X1,X2,X3,X4,X5] :
      ( ( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
        & m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) )
     => m2_relset_1(k9_relset_2(X1,X2,X3,X4,X5),X1,X3) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k9_relset_2) ).

fof(t159_relat_1,axiom,
    ! [X1,X2] :
      ( v1_relat_1(X2)
     => ! [X3] :
          ( v1_relat_1(X3)
         => k9_relat_1(k5_relat_1(X2,X3),X1) = k9_relat_1(X3,k9_relat_1(X2,X1)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t159_relat_1) ).

fof(dt_k3_subset_1,axiom,
    ! [X1,X2] :
      ( m1_subset_1(X2,k1_zfmisc_1(X1))
     => m1_subset_1(k3_subset_1(X1,X2),k1_zfmisc_1(X1)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k3_subset_1) ).

fof(c_0_14,negated_conjecture,
    ~ ! [X1,X2,X3,X4] :
        ( m1_subset_1(X4,k1_zfmisc_1(X1))
       => ! [X5] :
            ( m2_relset_1(X5,X1,X2)
           => ! [X6] :
                ( m2_relset_1(X6,X2,X3)
               => k8_relset_2(X2,X3,k10_relset_1(X1,X2,X5,X4),X6) = k8_relset_2(X1,X3,X4,k3_subset_1(k2_zfmisc_1(X1,X3),k9_relset_2(X1,X2,X3,X5,k3_subset_1(k2_zfmisc_1(X2,X3),X6)))) ) ) ),
    inference(assume_negation,[status(cth)],[t59_relset_2]) ).

fof(c_0_15,negated_conjecture,
    ( m1_subset_1(esk4_0,k1_zfmisc_1(esk1_0))
    & m2_relset_1(esk5_0,esk1_0,esk2_0)
    & m2_relset_1(esk6_0,esk2_0,esk3_0)
    & k8_relset_2(esk2_0,esk3_0,k10_relset_1(esk1_0,esk2_0,esk5_0,esk4_0),esk6_0) != k8_relset_2(esk1_0,esk3_0,esk4_0,k3_subset_1(k2_zfmisc_1(esk1_0,esk3_0),k9_relset_2(esk1_0,esk2_0,esk3_0,esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)))) ),
    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_14])])])])]) ).

fof(c_0_16,plain,
    ! [X6,X7,X8,X9,X10] :
      ( ~ m1_subset_1(X9,k1_zfmisc_1(k2_zfmisc_1(X6,X7)))
      | ~ m1_subset_1(X10,k1_zfmisc_1(k2_zfmisc_1(X7,X8)))
      | k9_relset_2(X6,X7,X8,X9,X10) = k5_relat_1(X9,X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k9_relset_2])]) ).

fof(c_0_17,plain,
    ! [X5,X6,X7,X8] :
      ( ~ m1_relset_1(X7,X5,X6)
      | m1_subset_1(k10_relset_1(X5,X6,X7,X8),k1_zfmisc_1(X6)) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k10_relset_1])])])]) ).

fof(c_0_18,plain,
    ! [X5,X6,X7,X8] :
      ( ~ m1_relset_1(X7,X5,X6)
      | k10_relset_1(X5,X6,X7,X8) = k9_relat_1(X7,X8) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k10_relset_1])])])]) ).

cnf(c_0_19,negated_conjecture,
    k8_relset_2(esk2_0,esk3_0,k10_relset_1(esk1_0,esk2_0,esk5_0,esk4_0),esk6_0) != k8_relset_2(esk1_0,esk3_0,esk4_0,k3_subset_1(k2_zfmisc_1(esk1_0,esk3_0),k9_relset_2(esk1_0,esk2_0,esk3_0,esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)))),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,plain,
    ( k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
    | ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_21,plain,
    ! [X4,X5,X6] :
      ( ~ m2_relset_1(X6,X4,X5)
      | m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,X5))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).

cnf(c_0_22,plain,
    ( m1_subset_1(k10_relset_1(X1,X2,X3,X4),k1_zfmisc_1(X2))
    | ~ m1_relset_1(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_23,plain,
    ( k10_relset_1(X1,X2,X3,X4) = k9_relat_1(X3,X4)
    | ~ m1_relset_1(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_24,plain,
    ! [X4,X5,X6,X4,X5,X6] :
      ( ( ~ m2_relset_1(X6,X4,X5)
        | m1_relset_1(X6,X4,X5) )
      & ( ~ m1_relset_1(X6,X4,X5)
        | m2_relset_1(X6,X4,X5) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])])]) ).

cnf(c_0_25,negated_conjecture,
    ( k8_relset_2(esk2_0,esk3_0,k10_relset_1(esk1_0,esk2_0,esk5_0,esk4_0),esk6_0) != k8_relset_2(esk1_0,esk3_0,esk4_0,k3_subset_1(k2_zfmisc_1(esk1_0,esk3_0),k5_relat_1(esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0))))
    | ~ m1_subset_1(k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)))
    | ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_26,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_27,negated_conjecture,
    m2_relset_1(esk5_0,esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_28,plain,
    ! [X3,X4] :
      ( ~ m1_subset_1(X4,k1_zfmisc_1(X3))
      | k3_subset_1(X3,k3_subset_1(X3,X4)) = X4 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k3_subset_1])]) ).

fof(c_0_29,plain,
    ! [X5,X6,X7,X8] :
      ( ~ m1_subset_1(X7,k1_zfmisc_1(X5))
      | ~ m1_subset_1(X8,k1_zfmisc_1(k2_zfmisc_1(X5,X6)))
      | k3_subset_1(X6,k8_relset_2(X5,X6,X7,X8)) = k9_relat_1(k3_subset_1(k2_zfmisc_1(X5,X6),X8),X7) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t49_relset_2])])])])]) ).

fof(c_0_30,plain,
    ! [X5,X6,X7,X8] :
      ( ~ m1_subset_1(X7,k1_zfmisc_1(X5))
      | ~ m1_subset_1(X8,k1_zfmisc_1(k2_zfmisc_1(X5,X6)))
      | m1_subset_1(k8_relset_2(X5,X6,X7,X8),k1_zfmisc_1(X6)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relset_2])]) ).

cnf(c_0_31,plain,
    ( m1_subset_1(k9_relat_1(X1,X2),k1_zfmisc_1(X3))
    | ~ m1_relset_1(X1,X4,X3) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_32,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_33,negated_conjecture,
    ( k8_relset_2(esk2_0,esk3_0,k9_relat_1(esk5_0,esk4_0),esk6_0) != k8_relset_2(esk1_0,esk3_0,esk4_0,k3_subset_1(k2_zfmisc_1(esk1_0,esk3_0),k5_relat_1(esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0))))
    | ~ m1_relset_1(esk5_0,esk1_0,esk2_0)
    | ~ m1_subset_1(k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)))
    | ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))) ),
    inference(spm,[status(thm)],[c_0_25,c_0_23]) ).

cnf(c_0_34,negated_conjecture,
    m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_35,plain,
    ( k3_subset_1(X1,k3_subset_1(X1,X2)) = X2
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_36,plain,
    ( k3_subset_1(X1,k8_relset_2(X2,X1,X3,X4)) = k9_relat_1(k3_subset_1(k2_zfmisc_1(X2,X1),X4),X3)
    | ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X1)))
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_37,plain,
    ( m1_subset_1(k8_relset_2(X1,X2,X3,X4),k1_zfmisc_1(X2))
    | ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_38,negated_conjecture,
    m2_relset_1(esk6_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_39,plain,
    ( m1_subset_1(k9_relat_1(X1,X2),k1_zfmisc_1(X3))
    | ~ m2_relset_1(X1,X4,X3) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

fof(c_0_40,plain,
    ! [X5,X6,X7,X8] :
      ( ~ m1_subset_1(X7,k1_zfmisc_1(X5))
      | ~ m2_relset_1(X8,X5,X6)
      | k3_subset_1(X6,k10_relset_1(X5,X6,X8,X7)) = k8_relset_2(X5,X6,X7,k3_subset_1(k2_zfmisc_1(X5,X6),X8)) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t50_relset_2])])])])]) ).

cnf(c_0_41,negated_conjecture,
    ( k8_relset_2(esk2_0,esk3_0,k9_relat_1(esk5_0,esk4_0),esk6_0) != k8_relset_2(esk1_0,esk3_0,esk4_0,k3_subset_1(k2_zfmisc_1(esk1_0,esk3_0),k5_relat_1(esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0))))
    | ~ m1_relset_1(esk5_0,esk1_0,esk2_0)
    | ~ m1_subset_1(k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34])]) ).

cnf(c_0_42,plain,
    ( k8_relset_2(X1,X2,X3,X4) = k3_subset_1(X2,k9_relat_1(k3_subset_1(k2_zfmisc_1(X1,X2),X4),X3))
    | ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).

cnf(c_0_43,negated_conjecture,
    m1_subset_1(esk6_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0))),
    inference(spm,[status(thm)],[c_0_26,c_0_38]) ).

cnf(c_0_44,negated_conjecture,
    m1_subset_1(k9_relat_1(esk5_0,X1),k1_zfmisc_1(esk2_0)),
    inference(spm,[status(thm)],[c_0_39,c_0_27]) ).

cnf(c_0_45,plain,
    ( k3_subset_1(X1,k10_relset_1(X2,X1,X3,X4)) = k8_relset_2(X2,X1,X4,k3_subset_1(k2_zfmisc_1(X2,X1),X3))
    | ~ m2_relset_1(X3,X2,X1)
    | ~ m1_subset_1(X4,k1_zfmisc_1(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_46,negated_conjecture,
    ( k8_relset_2(esk1_0,esk3_0,esk4_0,k3_subset_1(k2_zfmisc_1(esk1_0,esk3_0),k5_relat_1(esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)))) != k3_subset_1(esk3_0,k9_relat_1(k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0),k9_relat_1(esk5_0,esk4_0)))
    | ~ m1_relset_1(esk5_0,esk1_0,esk2_0)
    | ~ m1_subset_1(k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_44])]) ).

cnf(c_0_47,plain,
    ( k8_relset_2(X1,X2,X3,k3_subset_1(k2_zfmisc_1(X1,X2),X4)) = k3_subset_1(X2,k9_relat_1(X4,X3))
    | ~ m2_relset_1(X4,X1,X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_23]),c_0_32]) ).

cnf(c_0_48,negated_conjecture,
    m1_subset_1(esk4_0,k1_zfmisc_1(esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_49,plain,
    ! [X4,X5,X6] :
      ( ~ m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,X5)))
      | v1_relat_1(X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).

fof(c_0_50,plain,
    ! [X6,X7,X8,X9,X10] :
      ( ~ m1_subset_1(X9,k1_zfmisc_1(k2_zfmisc_1(X6,X7)))
      | ~ m1_subset_1(X10,k1_zfmisc_1(k2_zfmisc_1(X7,X8)))
      | m2_relset_1(k9_relset_2(X6,X7,X8,X9,X10),X6,X8) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k9_relset_2])]) ).

cnf(c_0_51,negated_conjecture,
    ( k3_subset_1(esk3_0,k9_relat_1(k5_relat_1(esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk4_0)) != k3_subset_1(esk3_0,k9_relat_1(k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0),k9_relat_1(esk5_0,esk4_0)))
    | ~ m1_relset_1(esk5_0,esk1_0,esk2_0)
    | ~ m2_relset_1(k5_relat_1(esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk1_0,esk3_0)
    | ~ m1_subset_1(k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]) ).

fof(c_0_52,plain,
    ! [X4,X5,X6] :
      ( ~ v1_relat_1(X5)
      | ~ v1_relat_1(X6)
      | k9_relat_1(k5_relat_1(X5,X6),X4) = k9_relat_1(X6,k9_relat_1(X5,X4)) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t159_relat_1])])])])]) ).

cnf(c_0_53,plain,
    ( v1_relat_1(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_54,plain,
    ( m2_relset_1(k9_relset_2(X1,X2,X3,X4,X5),X1,X3)
    | ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

fof(c_0_55,plain,
    ! [X3,X4] :
      ( ~ m1_subset_1(X4,k1_zfmisc_1(X3))
      | m1_subset_1(k3_subset_1(X3,X4),k1_zfmisc_1(X3)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_subset_1])]) ).

cnf(c_0_56,negated_conjecture,
    ( k3_subset_1(esk3_0,k9_relat_1(k5_relat_1(esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk4_0)) != k3_subset_1(esk3_0,k9_relat_1(k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0),k9_relat_1(esk5_0,esk4_0)))
    | ~ m2_relset_1(k5_relat_1(esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk1_0,esk3_0)
    | ~ m1_subset_1(k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_32]),c_0_27])]) ).

cnf(c_0_57,plain,
    ( k9_relat_1(k5_relat_1(X1,X2),X3) = k9_relat_1(X2,k9_relat_1(X1,X3))
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_58,negated_conjecture,
    v1_relat_1(esk5_0),
    inference(spm,[status(thm)],[c_0_53,c_0_34]) ).

cnf(c_0_59,plain,
    ( m2_relset_1(k5_relat_1(X1,X2),X3,X4)
    | ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X5,X4)))
    | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X3,X5))) ),
    inference(spm,[status(thm)],[c_0_54,c_0_20]) ).

cnf(c_0_60,plain,
    ( m1_subset_1(k3_subset_1(X1,X2),k1_zfmisc_1(X1))
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_61,negated_conjecture,
    ( ~ m2_relset_1(k5_relat_1(esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk1_0,esk3_0)
    | ~ m1_subset_1(k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0))) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]),c_0_53]) ).

cnf(c_0_62,plain,
    ( m2_relset_1(k5_relat_1(X1,k3_subset_1(k2_zfmisc_1(X2,X3),X4)),X5,X3)
    | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X5,X2)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_63,negated_conjecture,
    ~ m1_subset_1(k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_34]),c_0_43])]) ).

cnf(c_0_64,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_60]),c_0_43])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SEU447+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : run_ET %s %d
% 0.13/0.33  % Computer : n011.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jun 20 08:55:09 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.22/1.40  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40  # Preprocessing time       : 0.017 s
% 0.22/1.40  
% 0.22/1.40  # Proof found!
% 0.22/1.40  # SZS status Theorem
% 0.22/1.40  # SZS output start CNFRefutation
% See solution above
% 0.22/1.40  # Proof object total steps             : 65
% 0.22/1.40  # Proof object clause steps            : 36
% 0.22/1.40  # Proof object formula steps           : 29
% 0.22/1.40  # Proof object conjectures             : 20
% 0.22/1.40  # Proof object clause conjectures      : 17
% 0.22/1.40  # Proof object formula conjectures     : 3
% 0.22/1.40  # Proof object initial clauses used    : 17
% 0.22/1.40  # Proof object initial formulas used   : 14
% 0.22/1.40  # Proof object generating inferences   : 18
% 0.22/1.40  # Proof object simplifying inferences  : 19
% 0.22/1.40  # Training examples: 0 positive, 0 negative
% 0.22/1.40  # Parsed axioms                        : 60
% 0.22/1.40  # Removed by relevancy pruning/SinE    : 29
% 0.22/1.40  # Initial clauses                      : 41
% 0.22/1.40  # Removed in clause preprocessing      : 0
% 0.22/1.40  # Initial clauses in saturation        : 41
% 0.22/1.40  # Processed clauses                    : 361
% 0.22/1.40  # ...of these trivial                  : 10
% 0.22/1.40  # ...subsumed                          : 48
% 0.22/1.40  # ...remaining for further processing  : 303
% 0.22/1.40  # Other redundant clauses eliminated   : 0
% 0.22/1.40  # Clauses deleted for lack of memory   : 0
% 0.22/1.40  # Backward-subsumed                    : 17
% 0.22/1.40  # Backward-rewritten                   : 16
% 0.22/1.40  # Generated clauses                    : 3253
% 0.22/1.40  # ...of the previous two non-trivial   : 2442
% 0.22/1.40  # Contextual simplify-reflections      : 32
% 0.22/1.40  # Paramodulations                      : 3253
% 0.22/1.40  # Factorizations                       : 0
% 0.22/1.40  # Equation resolutions                 : 0
% 0.22/1.40  # Current number of processed clauses  : 270
% 0.22/1.40  #    Positive orientable unit clauses  : 165
% 0.22/1.40  #    Positive unorientable unit clauses: 0
% 0.22/1.40  #    Negative unit clauses             : 5
% 0.22/1.40  #    Non-unit-clauses                  : 100
% 0.22/1.40  # Current number of unprocessed clauses: 2084
% 0.22/1.40  # ...number of literals in the above   : 7700
% 0.22/1.40  # Current number of archived formulas  : 0
% 0.22/1.40  # Current number of archived clauses   : 33
% 0.22/1.40  # Clause-clause subsumption calls (NU) : 4764
% 0.22/1.40  # Rec. Clause-clause subsumption calls : 2989
% 0.22/1.40  # Non-unit clause-clause subsumptions  : 96
% 0.22/1.40  # Unit Clause-clause subsumption calls : 633
% 0.22/1.40  # Rewrite failures with RHS unbound    : 0
% 0.22/1.40  # BW rewrite match attempts            : 761
% 0.22/1.40  # BW rewrite match successes           : 14
% 0.22/1.40  # Condensation attempts                : 0
% 0.22/1.40  # Condensation successes               : 0
% 0.22/1.40  # Termbank termtop insertions          : 41016
% 0.22/1.40  
% 0.22/1.40  # -------------------------------------------------
% 0.22/1.40  # User time                : 0.085 s
% 0.22/1.40  # System time              : 0.005 s
% 0.22/1.40  # Total time               : 0.090 s
% 0.22/1.40  # Maximum resident set size: 5704 pages
% 0.22/23.40  eprover: CPU time limit exceeded, terminating
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47  eprover: No such file or directory
% 0.22/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48  eprover: No such file or directory
% 0.22/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48  eprover: No such file or directory
%------------------------------------------------------------------------------