TSTP Solution File: SEU441+4 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SEU441+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n020.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 09:20:18 EDT 2022

% Result   : Theorem 4.38s 49.56s
% Output   : CNFRefutation 4.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   64 (  18 unt;   0 def)
%            Number of atoms       :  152 (  26 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  164 (  76   ~;  63   |;   9   &)
%                                         (   1 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   18 (  18 usr;   5 con; 0-5 aty)
%            Number of variables   :  123 (  11 sgn  81   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t53_relset_2,conjecture,
    ! [X1,X2,X3,X4] :
      ( m2_relset_1(X4,X1,X2)
     => ! [X5] :
          ( m2_relset_1(X5,X2,X3)
         => ( k2_funct_5(k9_relset_2(X1,X2,X3,X4,X5)) = k10_relset_1(X2,X3,X5,k2_funct_5(X4))
            & r1_tarski(k2_funct_5(k9_relset_2(X1,X2,X3,X4,X5)),k2_funct_5(X5)) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t53_relset_2) ).

fof(t16_relset_1,axiom,
    ! [X1,X2,X3,X4] :
      ( m2_relset_1(X4,X3,X1)
     => ( r1_tarski(X1,X2)
       => m2_relset_1(X4,X3,X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',t16_relset_1) ).

fof(t7_xboole_1,axiom,
    ! [X1,X2] : r1_tarski(X1,k2_xboole_0(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t7_xboole_1) ).

fof(t93_zfmisc_1,axiom,
    ! [X1,X2] : k3_tarski(k2_tarski(X1,X2)) = k2_xboole_0(X1,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t93_zfmisc_1) ).

fof(t21_funct_5,axiom,
    ! [X1] :
      ( v1_relat_1(X1)
     => ( k1_funct_5(X1) = k1_relat_1(X1)
        & k2_funct_5(X1) = k2_relat_1(X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+61.ax',t21_funct_5) ).

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/benchmark/Axioms/SET007/SET007+16.ax',cc1_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/benchmark/Axioms/SET007/SET007+16.ax',dt_m2_relset_1) ).

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',redefinition_k9_relset_2) ).

fof(t100_zfmisc_1,axiom,
    ! [X1] : r1_tarski(X1,k1_zfmisc_1(k3_tarski(X1))),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t100_zfmisc_1) ).

fof(t160_relat_1,axiom,
    ! [X1] :
      ( v1_relat_1(X1)
     => ! [X2] :
          ( v1_relat_1(X2)
         => k2_relat_1(k5_relat_1(X1,X2)) = k9_relat_1(X2,k2_relat_1(X1)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t160_relat_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/benchmark/Axioms/SET007/SET007+16.ax',redefinition_k10_relset_1) ).

fof(t144_relat_1,axiom,
    ! [X1,X2] :
      ( v1_relat_1(X2)
     => r1_tarski(k9_relat_1(X2,X1),k2_relat_1(X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t144_relat_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/benchmark/Axioms/SET007/SET007+16.ax',redefinition_m2_relset_1) ).

fof(dt_k5_relat_1,axiom,
    ! [X1,X2] :
      ( ( v1_relat_1(X1)
        & v1_relat_1(X2) )
     => v1_relat_1(k5_relat_1(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',dt_k5_relat_1) ).

fof(c_0_14,negated_conjecture,
    ~ ! [X1,X2,X3,X4] :
        ( m2_relset_1(X4,X1,X2)
       => ! [X5] :
            ( m2_relset_1(X5,X2,X3)
           => ( k2_funct_5(k9_relset_2(X1,X2,X3,X4,X5)) = k10_relset_1(X2,X3,X5,k2_funct_5(X4))
              & r1_tarski(k2_funct_5(k9_relset_2(X1,X2,X3,X4,X5)),k2_funct_5(X5)) ) ) ),
    inference(assume_negation,[status(cth)],[t53_relset_2]) ).

fof(c_0_15,plain,
    ! [X5,X6,X7,X8] :
      ( ~ m2_relset_1(X8,X7,X5)
      | ~ r1_tarski(X5,X6)
      | m2_relset_1(X8,X7,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t16_relset_1])]) ).

fof(c_0_16,negated_conjecture,
    ( m2_relset_1(esk4_0,esk1_0,esk2_0)
    & m2_relset_1(esk5_0,esk2_0,esk3_0)
    & ( k2_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)) != k10_relset_1(esk2_0,esk3_0,esk5_0,k2_funct_5(esk4_0))
      | ~ r1_tarski(k2_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)),k2_funct_5(esk5_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_17,plain,
    ! [X3,X4] : r1_tarski(X3,k2_xboole_0(X3,X4)),
    inference(variable_rename,[status(thm)],[t7_xboole_1]) ).

fof(c_0_18,plain,
    ! [X3,X4] : k3_tarski(k2_tarski(X3,X4)) = k2_xboole_0(X3,X4),
    inference(variable_rename,[status(thm)],[t93_zfmisc_1]) ).

fof(c_0_19,plain,
    ! [X2] :
      ( ( k1_funct_5(X2) = k1_relat_1(X2)
        | ~ v1_relat_1(X2) )
      & ( k2_funct_5(X2) = k2_relat_1(X2)
        | ~ v1_relat_1(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t21_funct_5])])]) ).

fof(c_0_20,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_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,
    ( m2_relset_1(X1,X2,X3)
    | ~ r1_tarski(X4,X3)
    | ~ m2_relset_1(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_23,negated_conjecture,
    m2_relset_1(esk4_0,esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_24,plain,
    r1_tarski(X1,k2_xboole_0(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_25,plain,
    k3_tarski(k2_tarski(X1,X2)) = k2_xboole_0(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ r1_tarski(k2_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)),k2_funct_5(esk5_0))
    | k2_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)) != k10_relset_1(esk2_0,esk3_0,esk5_0,k2_funct_5(esk4_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_27,plain,
    ( k2_funct_5(X1) = k2_relat_1(X1)
    | ~ v1_relat_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_28,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])]) ).

cnf(c_0_29,plain,
    ( v1_relat_1(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_30,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_31,negated_conjecture,
    ( m2_relset_1(esk4_0,esk1_0,X1)
    | ~ r1_tarski(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_32,plain,
    r1_tarski(X1,k3_tarski(k2_tarski(X1,X2))),
    inference(rw,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_33,negated_conjecture,
    m2_relset_1(esk5_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_34,plain,
    ! [X2] : r1_tarski(X2,k1_zfmisc_1(k3_tarski(X2))),
    inference(variable_rename,[status(thm)],[t100_zfmisc_1]) ).

cnf(c_0_35,negated_conjecture,
    ( k10_relset_1(esk2_0,esk3_0,esk5_0,k2_funct_5(esk4_0)) != k2_relat_1(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0))
    | ~ v1_relat_1(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0))
    | ~ r1_tarski(k2_relat_1(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)),k2_funct_5(esk5_0)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_36,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_28]) ).

cnf(c_0_37,plain,
    ( v1_relat_1(X1)
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_38,negated_conjecture,
    m2_relset_1(esk4_0,esk1_0,k3_tarski(k2_tarski(esk2_0,X1))),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_39,negated_conjecture,
    ( m2_relset_1(esk5_0,esk2_0,X1)
    | ~ r1_tarski(esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_33]) ).

cnf(c_0_40,plain,
    r1_tarski(X1,k1_zfmisc_1(k3_tarski(X1))),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_41,negated_conjecture,
    ( k10_relset_1(esk2_0,esk3_0,esk5_0,k2_funct_5(esk4_0)) != k2_relat_1(k5_relat_1(esk4_0,esk5_0))
    | ~ v1_relat_1(k5_relat_1(esk4_0,esk5_0))
    | ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)))
    | ~ m1_subset_1(esk4_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
    | ~ r1_tarski(k2_relat_1(k5_relat_1(esk4_0,esk5_0)),k2_funct_5(esk5_0)) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_42,negated_conjecture,
    v1_relat_1(esk4_0),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

fof(c_0_43,plain,
    ! [X3,X4] :
      ( ~ v1_relat_1(X3)
      | ~ v1_relat_1(X4)
      | k2_relat_1(k5_relat_1(X3,X4)) = k9_relat_1(X4,k2_relat_1(X3)) ),
    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)],[t160_relat_1])])])])]) ).

cnf(c_0_44,negated_conjecture,
    m2_relset_1(esk5_0,esk2_0,k1_zfmisc_1(k3_tarski(esk3_0))),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_45,negated_conjecture,
    ( k10_relset_1(esk2_0,esk3_0,esk5_0,k2_relat_1(esk4_0)) != k2_relat_1(k5_relat_1(esk4_0,esk5_0))
    | ~ v1_relat_1(k5_relat_1(esk4_0,esk5_0))
    | ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)))
    | ~ m1_subset_1(esk4_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
    | ~ r1_tarski(k2_relat_1(k5_relat_1(esk4_0,esk5_0)),k2_funct_5(esk5_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_27]),c_0_42])]) ).

cnf(c_0_46,plain,
    ( k2_relat_1(k5_relat_1(X1,X2)) = k9_relat_1(X2,k2_relat_1(X1))
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_47,negated_conjecture,
    v1_relat_1(esk5_0),
    inference(spm,[status(thm)],[c_0_37,c_0_44]) ).

cnf(c_0_48,negated_conjecture,
    ( k10_relset_1(esk2_0,esk3_0,esk5_0,k2_relat_1(esk4_0)) != k9_relat_1(esk5_0,k2_relat_1(esk4_0))
    | ~ v1_relat_1(k5_relat_1(esk4_0,esk5_0))
    | ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)))
    | ~ m1_subset_1(esk4_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
    | ~ r1_tarski(k9_relat_1(esk5_0,k2_relat_1(esk4_0)),k2_funct_5(esk5_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_42])]) ).

fof(c_0_49,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_50,negated_conjecture,
    ( k10_relset_1(esk2_0,esk3_0,esk5_0,k2_relat_1(esk4_0)) != k9_relat_1(esk5_0,k2_relat_1(esk4_0))
    | ~ v1_relat_1(k5_relat_1(esk4_0,esk5_0))
    | ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)))
    | ~ m1_subset_1(esk4_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
    | ~ r1_tarski(k9_relat_1(esk5_0,k2_relat_1(esk4_0)),k2_relat_1(esk5_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_27]),c_0_47])]) ).

cnf(c_0_51,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_49]) ).

fof(c_0_52,plain,
    ! [X3,X4] :
      ( ~ v1_relat_1(X4)
      | r1_tarski(k9_relat_1(X4,X3),k2_relat_1(X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t144_relat_1])]) ).

cnf(c_0_53,negated_conjecture,
    ( ~ m1_relset_1(esk5_0,esk2_0,esk3_0)
    | ~ v1_relat_1(k5_relat_1(esk4_0,esk5_0))
    | ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)))
    | ~ m1_subset_1(esk4_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
    | ~ r1_tarski(k9_relat_1(esk5_0,k2_relat_1(esk4_0)),k2_relat_1(esk5_0)) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_54,plain,
    ( r1_tarski(k9_relat_1(X1,X2),k2_relat_1(X1))
    | ~ v1_relat_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

fof(c_0_55,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_56,negated_conjecture,
    ( ~ m1_relset_1(esk5_0,esk2_0,esk3_0)
    | ~ v1_relat_1(k5_relat_1(esk4_0,esk5_0))
    | ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)))
    | ~ m1_subset_1(esk4_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_47])]) ).

cnf(c_0_57,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

fof(c_0_58,plain,
    ! [X3,X4] :
      ( ~ v1_relat_1(X3)
      | ~ v1_relat_1(X4)
      | v1_relat_1(k5_relat_1(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_relat_1])]) ).

cnf(c_0_59,negated_conjecture,
    ( ~ v1_relat_1(k5_relat_1(esk4_0,esk5_0))
    | ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)))
    | ~ m1_subset_1(esk4_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_33])]) ).

cnf(c_0_60,plain,
    ( v1_relat_1(k5_relat_1(X1,X2))
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_61,negated_conjecture,
    ( ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)))
    | ~ m1_subset_1(esk4_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_47]),c_0_42])]) ).

cnf(c_0_62,negated_conjecture,
    ~ m1_subset_1(esk5_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_61,c_0_30]),c_0_23])]) ).

cnf(c_0_63,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_30]),c_0_33])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU441+4 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n020.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 03:52:44 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 4.27/27.34  eprover: CPU time limit exceeded, terminating
% 4.27/27.35  eprover: CPU time limit exceeded, terminating
% 4.27/27.35  eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 4.27/27.35  
% 4.38/49.56  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 4.38/49.56  
% 4.38/49.56  # Failure: Resource limit exceeded (time)
% 4.38/49.56  # OLD status Res
% 4.38/49.56  # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 4.38/49.56  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 4.38/49.56  # Preprocessing time       : 3.515 s
% 4.38/49.56  
% 4.38/49.56  # Proof found!
% 4.38/49.56  # SZS status Theorem
% 4.38/49.56  # SZS output start CNFRefutation
% See solution above
% 4.38/49.56  # Proof object total steps             : 64
% 4.38/49.56  # Proof object clause steps            : 35
% 4.38/49.56  # Proof object formula steps           : 29
% 4.38/49.56  # Proof object conjectures             : 23
% 4.38/49.56  # Proof object clause conjectures      : 20
% 4.38/49.56  # Proof object formula conjectures     : 3
% 4.38/49.56  # Proof object initial clauses used    : 16
% 4.38/49.56  # Proof object initial formulas used   : 14
% 4.38/49.56  # Proof object generating inferences   : 18
% 4.38/49.56  # Proof object simplifying inferences  : 19
% 4.38/49.56  # Training examples: 0 positive, 0 negative
% 4.38/49.56  # Parsed axioms                        : 71135
% 4.38/49.56  # Removed by relevancy pruning/SinE    : 69605
% 4.38/49.56  # Initial clauses                      : 3362
% 4.38/49.56  # Removed in clause preprocessing      : 62
% 4.38/49.56  # Initial clauses in saturation        : 3300
% 4.38/49.56  # Processed clauses                    : 41331
% 4.38/49.56  # ...of these trivial                  : 637
% 4.38/49.56  # ...subsumed                          : 30616
% 4.38/49.56  # ...remaining for further processing  : 10078
% 4.38/49.56  # Other redundant clauses eliminated   : 459
% 4.38/49.56  # Clauses deleted for lack of memory   : 266349
% 4.38/49.56  # Backward-subsumed                    : 733
% 4.38/49.56  # Backward-rewritten                   : 145
% 4.38/49.56  # Generated clauses                    : 410765
% 4.38/49.56  # ...of the previous two non-trivial   : 394593
% 4.38/49.56  # Contextual simplify-reflections      : 4796
% 4.38/49.56  # Paramodulations                      : 410151
% 4.38/49.56  # Factorizations                       : 35
% 4.38/49.56  # Equation resolutions                 : 580
% 4.38/49.56  # Current number of processed clauses  : 9175
% 4.38/49.56  #    Positive orientable unit clauses  : 1349
% 4.38/49.56  #    Positive unorientable unit clauses: 10
% 4.38/49.56  #    Negative unit clauses             : 365
% 4.38/49.56  #    Non-unit-clauses                  : 7451
% 4.38/49.56  # Current number of unprocessed clauses: 77838
% 4.38/49.56  # ...number of literals in the above   : 249267
% 4.38/49.56  # Current number of archived formulas  : 0
% 4.38/49.56  # Current number of archived clauses   : 884
% 4.38/49.56  # Clause-clause subsumption calls (NU) : 14521759
% 4.38/49.56  # Rec. Clause-clause subsumption calls : 4845477
% 4.38/49.56  # Non-unit clause-clause subsumptions  : 29308
% 4.38/49.56  # Unit Clause-clause subsumption calls : 294214
% 4.38/49.56  # Rewrite failures with RHS unbound    : 0
% 4.38/49.56  # BW rewrite match attempts            : 11433
% 4.38/49.56  # BW rewrite match successes           : 80
% 4.38/49.56  # Condensation attempts                : 0
% 4.38/49.56  # Condensation successes               : 0
% 4.38/49.56  # Termbank termtop insertions          : 11907105
% 4.38/49.56  
% 4.38/49.56  # -------------------------------------------------
% 4.38/49.56  # User time                : 21.093 s
% 4.38/49.56  # System time              : 0.325 s
% 4.38/49.56  # Total time               : 21.418 s
% 4.38/49.56  # Maximum resident set size: 331060 pages
% 4.38/50.38  eprover: CPU time limit exceeded, terminating
% 4.38/50.38  eprover: CPU time limit exceeded, terminating
% 4.38/50.40  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 4.38/50.40  eprover: No such file or directory
% 4.38/50.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 4.38/50.41  eprover: No such file or directory
% 4.38/50.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 4.38/50.42  eprover: No such file or directory
% 4.38/50.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 4.38/50.42  eprover: No such file or directory
% 4.38/50.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 4.38/50.43  eprover: No such file or directory
% 4.38/50.43  eprover: CPU time limit exceeded, terminating
% 4.38/50.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 4.38/50.44  eprover: No such file or directory
% 4.38/50.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.38/50.44  eprover: No such file or directory
% 4.38/50.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 4.38/50.44  eprover: No such file or directory
% 4.38/50.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.38/50.44  eprover: No such file or directory
% 4.38/50.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 4.38/50.45  eprover: No such file or directory
% 4.38/50.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.38/50.45  eprover: No such file or directory
% 4.38/50.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 4.38/50.45  eprover: No such file or directory
% 4.38/50.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.38/50.46  eprover: No such file or directory
% 4.38/50.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 4.38/50.46  eprover: No such file or directory
% 4.38/50.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.38/50.46  eprover: No such file or directory
% 4.38/50.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.38/50.46  eprover: No such file or directory
% 4.38/50.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.38/50.47  eprover: No such file or directory
% 4.38/50.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.38/50.47  eprover: No such file or directory
% 4.38/50.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.38/50.47  eprover: No such file or directory
% 4.38/50.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.38/50.47  eprover: No such file or directory
% 4.38/50.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.38/50.47  eprover: No such file or directory
% 4.38/50.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.38/50.48  eprover: No such file or directory
% 4.38/50.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.38/50.48  eprover: No such file or directory
% 4.38/50.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.38/50.48  eprover: No such file or directory
% 4.38/50.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.38/50.48  eprover: No such file or directory
% 4.38/50.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.38/50.49  eprover: No such file or directory
% 4.38/50.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.38/50.50  eprover: No such file or directory
% 4.38/50.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.38/50.50  eprover: No such file or directory
% 4.38/50.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.38/50.51  eprover: No such file or directory
% 4.38/50.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 4.38/50.51  eprover: No such file or directory
%------------------------------------------------------------------------------