TSTP Solution File: SEU432+2 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SEU432+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n032.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 09:20:08 EDT 2022

% Result   : Theorem 0.57s 47.84s
% Output   : CNFRefutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   57 (  24 unt;   0 def)
%            Number of atoms       :  135 (  26 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  143 (  65   ~;  53   |;   9   &)
%                                         (   1 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-4 aty)
%            Number of variables   :  116 (   4 sgn  76   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t33_relset_2,conjecture,
    ! [X1,X2,X3] :
      ( m1_subset_1(X3,k1_zfmisc_1(X1))
     => ! [X4] :
          ( m1_subset_1(X4,k1_zfmisc_1(X1))
         => ! [X5] :
              ( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
             => r1_tarski(k4_subset_1(X2,k8_relset_2(X1,X2,X3,X5),k8_relset_2(X1,X2,X4,X5)),k8_relset_2(X1,X2,k5_subset_1(X1,X3,X4),X5)) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t33_relset_2) ).

fof(redefinition_k4_subset_1,axiom,
    ! [X1,X2,X3] :
      ( ( m1_subset_1(X2,k1_zfmisc_1(X1))
        & m1_subset_1(X3,k1_zfmisc_1(X1)) )
     => k4_subset_1(X1,X2,X3) = k2_xboole_0(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',redefinition_k4_subset_1) ).

fof(t8_xboole_1,axiom,
    ! [X1,X2,X3] :
      ( ( r1_tarski(X1,X2)
        & r1_tarski(X3,X2) )
     => r1_tarski(k2_xboole_0(X1,X3),X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t8_xboole_1) ).

fof(t32_relset_2,axiom,
    ! [X1,X2,X3] :
      ( m1_subset_1(X3,k1_zfmisc_1(X1))
     => ! [X4] :
          ( m1_subset_1(X4,k1_zfmisc_1(X1))
         => ! [X5] :
              ( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
             => ( r1_tarski(X3,X4)
               => r1_tarski(k8_relset_2(X1,X2,X4,X5),k8_relset_2(X1,X2,X3,X5)) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t32_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',dt_k8_relset_2) ).

fof(dt_k5_subset_1,axiom,
    ! [X1,X2,X3] :
      ( ( m1_subset_1(X2,k1_zfmisc_1(X1))
        & m1_subset_1(X3,k1_zfmisc_1(X1)) )
     => m1_subset_1(k5_subset_1(X1,X2,X3),k1_zfmisc_1(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',dt_k5_subset_1) ).

fof(redefinition_k5_subset_1,axiom,
    ! [X1,X2,X3] :
      ( ( m1_subset_1(X2,k1_zfmisc_1(X1))
        & m1_subset_1(X3,k1_zfmisc_1(X1)) )
     => k5_subset_1(X1,X2,X3) = k3_xboole_0(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',redefinition_k5_subset_1) ).

fof(t48_xboole_1,axiom,
    ! [X1,X2] : k4_xboole_0(X1,k4_xboole_0(X1,X2)) = k3_xboole_0(X1,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t48_xboole_1) ).

fof(t2_boole,axiom,
    ! [X1] : k3_xboole_0(X1,k1_xboole_0) = k1_xboole_0,
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+3.ax',t2_boole) ).

fof(t36_xboole_1,axiom,
    ! [X1,X2] : r1_tarski(k4_xboole_0(X1,X2),X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t36_xboole_1) ).

fof(t49_xboole_1,axiom,
    ! [X1,X2,X3] : k3_xboole_0(X1,k4_xboole_0(X2,X3)) = k4_xboole_0(k3_xboole_0(X1,X2),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t49_xboole_1) ).

fof(t3_boole,axiom,
    ! [X1] : k4_xboole_0(X1,k1_xboole_0) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+3.ax',t3_boole) ).

fof(t37_xboole_1,axiom,
    ! [X1,X2] :
      ( k4_xboole_0(X1,X2) = k1_xboole_0
    <=> r1_tarski(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t37_xboole_1) ).

fof(c_0_13,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( m1_subset_1(X3,k1_zfmisc_1(X1))
       => ! [X4] :
            ( m1_subset_1(X4,k1_zfmisc_1(X1))
           => ! [X5] :
                ( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
               => r1_tarski(k4_subset_1(X2,k8_relset_2(X1,X2,X3,X5),k8_relset_2(X1,X2,X4,X5)),k8_relset_2(X1,X2,k5_subset_1(X1,X3,X4),X5)) ) ) ),
    inference(assume_negation,[status(cth)],[t33_relset_2]) ).

fof(c_0_14,negated_conjecture,
    ( m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0))
    & m1_subset_1(esk4_0,k1_zfmisc_1(esk1_0))
    & m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
    & ~ r1_tarski(k4_subset_1(esk2_0,k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0)),k8_relset_2(esk1_0,esk2_0,k5_subset_1(esk1_0,esk3_0,esk4_0),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_13])])])])]) ).

fof(c_0_15,plain,
    ! [X4,X5,X6] :
      ( ~ m1_subset_1(X5,k1_zfmisc_1(X4))
      | ~ m1_subset_1(X6,k1_zfmisc_1(X4))
      | k4_subset_1(X4,X5,X6) = k2_xboole_0(X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_subset_1])]) ).

cnf(c_0_16,negated_conjecture,
    ~ r1_tarski(k4_subset_1(esk2_0,k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0)),k8_relset_2(esk1_0,esk2_0,k5_subset_1(esk1_0,esk3_0,esk4_0),esk5_0)),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_17,plain,
    ( k4_subset_1(X1,X2,X3) = k2_xboole_0(X2,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_18,plain,
    ! [X4,X5,X6] :
      ( ~ r1_tarski(X4,X5)
      | ~ r1_tarski(X6,X5)
      | r1_tarski(k2_xboole_0(X4,X6),X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_xboole_1])]) ).

cnf(c_0_19,negated_conjecture,
    ( ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0),k1_zfmisc_1(esk2_0))
    | ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0))
    | ~ r1_tarski(k2_xboole_0(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0)),k8_relset_2(esk1_0,esk2_0,k5_subset_1(esk1_0,esk3_0,esk4_0),esk5_0)) ),
    inference(pm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_20,plain,
    ( r1_tarski(k2_xboole_0(X1,X2),X3)
    | ~ r1_tarski(X2,X3)
    | ~ r1_tarski(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_21,plain,
    ! [X6,X7,X8,X9,X10] :
      ( ~ m1_subset_1(X8,k1_zfmisc_1(X6))
      | ~ m1_subset_1(X9,k1_zfmisc_1(X6))
      | ~ m1_subset_1(X10,k1_zfmisc_1(k2_zfmisc_1(X6,X7)))
      | ~ r1_tarski(X8,X9)
      | r1_tarski(k8_relset_2(X6,X7,X9,X10),k8_relset_2(X6,X7,X8,X10)) ),
    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)],[t32_relset_2])])])])]) ).

cnf(c_0_22,negated_conjecture,
    ( ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0),k1_zfmisc_1(esk2_0))
    | ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0))
    | ~ r1_tarski(k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0),k8_relset_2(esk1_0,esk2_0,k5_subset_1(esk1_0,esk3_0,esk4_0),esk5_0))
    | ~ r1_tarski(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k8_relset_2(esk1_0,esk2_0,k5_subset_1(esk1_0,esk3_0,esk4_0),esk5_0)) ),
    inference(pm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_23,plain,
    ( r1_tarski(k8_relset_2(X1,X2,X3,X4),k8_relset_2(X1,X2,X5,X4))
    | ~ r1_tarski(X5,X3)
    | ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X5,k1_zfmisc_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_24,negated_conjecture,
    m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_25,negated_conjecture,
    m1_subset_1(esk4_0,k1_zfmisc_1(esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0),k1_zfmisc_1(esk2_0))
    | ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0))
    | ~ m1_subset_1(k5_subset_1(esk1_0,esk3_0,esk4_0),k1_zfmisc_1(esk1_0))
    | ~ r1_tarski(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k8_relset_2(esk1_0,esk2_0,k5_subset_1(esk1_0,esk3_0,esk4_0),esk5_0))
    | ~ r1_tarski(k5_subset_1(esk1_0,esk3_0,esk4_0),esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25])]) ).

cnf(c_0_27,negated_conjecture,
    m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_28,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_29,negated_conjecture,
    ( ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0),k1_zfmisc_1(esk2_0))
    | ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0))
    | ~ m1_subset_1(k5_subset_1(esk1_0,esk3_0,esk4_0),k1_zfmisc_1(esk1_0))
    | ~ r1_tarski(k5_subset_1(esk1_0,esk3_0,esk4_0),esk4_0)
    | ~ r1_tarski(k5_subset_1(esk1_0,esk3_0,esk4_0),esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_26,c_0_23]),c_0_24]),c_0_27])]) ).

cnf(c_0_30,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_28]) ).

cnf(c_0_31,negated_conjecture,
    ( ~ m1_subset_1(k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0),k1_zfmisc_1(esk2_0))
    | ~ m1_subset_1(k5_subset_1(esk1_0,esk3_0,esk4_0),k1_zfmisc_1(esk1_0))
    | ~ r1_tarski(k5_subset_1(esk1_0,esk3_0,esk4_0),esk4_0)
    | ~ r1_tarski(k5_subset_1(esk1_0,esk3_0,esk4_0),esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_29,c_0_30]),c_0_24]),c_0_25])]) ).

fof(c_0_32,plain,
    ! [X4,X5,X6] :
      ( ~ m1_subset_1(X5,k1_zfmisc_1(X4))
      | ~ m1_subset_1(X6,k1_zfmisc_1(X4))
      | m1_subset_1(k5_subset_1(X4,X5,X6),k1_zfmisc_1(X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_subset_1])]) ).

fof(c_0_33,plain,
    ! [X4,X5,X6] :
      ( ~ m1_subset_1(X5,k1_zfmisc_1(X4))
      | ~ m1_subset_1(X6,k1_zfmisc_1(X4))
      | k5_subset_1(X4,X5,X6) = k3_xboole_0(X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_subset_1])]) ).

fof(c_0_34,plain,
    ! [X3,X4] : k4_xboole_0(X3,k4_xboole_0(X3,X4)) = k3_xboole_0(X3,X4),
    inference(variable_rename,[status(thm)],[t48_xboole_1]) ).

cnf(c_0_35,negated_conjecture,
    ( ~ m1_subset_1(k5_subset_1(esk1_0,esk3_0,esk4_0),k1_zfmisc_1(esk1_0))
    | ~ r1_tarski(k5_subset_1(esk1_0,esk3_0,esk4_0),esk4_0)
    | ~ r1_tarski(k5_subset_1(esk1_0,esk3_0,esk4_0),esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_31,c_0_30]),c_0_24]),c_0_27])]) ).

cnf(c_0_36,plain,
    ( m1_subset_1(k5_subset_1(X1,X2,X3),k1_zfmisc_1(X1))
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_37,plain,
    ( k5_subset_1(X1,X2,X3) = k3_xboole_0(X2,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_38,plain,
    k4_xboole_0(X1,k4_xboole_0(X1,X2)) = k3_xboole_0(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

fof(c_0_39,plain,
    ! [X2] : k3_xboole_0(X2,k1_xboole_0) = k1_xboole_0,
    inference(variable_rename,[status(thm)],[t2_boole]) ).

cnf(c_0_40,negated_conjecture,
    ( ~ r1_tarski(k5_subset_1(esk1_0,esk3_0,esk4_0),esk4_0)
    | ~ r1_tarski(k5_subset_1(esk1_0,esk3_0,esk4_0),esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_35,c_0_36]),c_0_25]),c_0_27])]) ).

cnf(c_0_41,plain,
    ( k5_subset_1(X1,X2,X3) = k4_xboole_0(X2,k4_xboole_0(X2,X3))
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
    inference(rw,[status(thm)],[c_0_37,c_0_38]) ).

fof(c_0_42,plain,
    ! [X3,X4] : r1_tarski(k4_xboole_0(X3,X4),X3),
    inference(variable_rename,[status(thm)],[t36_xboole_1]) ).

fof(c_0_43,plain,
    ! [X4,X5,X6] : k3_xboole_0(X4,k4_xboole_0(X5,X6)) = k4_xboole_0(k3_xboole_0(X4,X5),X6),
    inference(variable_rename,[status(thm)],[t49_xboole_1]) ).

cnf(c_0_44,plain,
    k3_xboole_0(X1,k1_xboole_0) = k1_xboole_0,
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

fof(c_0_45,plain,
    ! [X2] : k4_xboole_0(X2,k1_xboole_0) = X2,
    inference(variable_rename,[status(thm)],[t3_boole]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ r1_tarski(k4_xboole_0(esk3_0,k4_xboole_0(esk3_0,esk4_0)),esk4_0)
    | ~ r1_tarski(k5_subset_1(esk1_0,esk3_0,esk4_0),esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_40,c_0_41]),c_0_25]),c_0_27])]) ).

cnf(c_0_47,plain,
    r1_tarski(k4_xboole_0(X1,X2),X1),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

fof(c_0_48,plain,
    ! [X3,X4,X3,X4] :
      ( ( k4_xboole_0(X3,X4) != k1_xboole_0
        | r1_tarski(X3,X4) )
      & ( ~ r1_tarski(X3,X4)
        | k4_xboole_0(X3,X4) = k1_xboole_0 ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t37_xboole_1])])])]) ).

cnf(c_0_49,plain,
    k3_xboole_0(X1,k4_xboole_0(X2,X3)) = k4_xboole_0(k3_xboole_0(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_50,plain,
    k4_xboole_0(X1,k4_xboole_0(X1,k1_xboole_0)) = k1_xboole_0,
    inference(rw,[status(thm)],[c_0_44,c_0_38]) ).

cnf(c_0_51,plain,
    k4_xboole_0(X1,k1_xboole_0) = X1,
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_52,negated_conjecture,
    ~ r1_tarski(k4_xboole_0(esk3_0,k4_xboole_0(esk3_0,esk4_0)),esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_46,c_0_41]),c_0_47]),c_0_25]),c_0_27])]) ).

cnf(c_0_53,plain,
    ( r1_tarski(X1,X2)
    | k4_xboole_0(X1,X2) != k1_xboole_0 ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_54,plain,
    k4_xboole_0(X1,k4_xboole_0(X1,k4_xboole_0(X2,X3))) = k4_xboole_0(k4_xboole_0(X1,k4_xboole_0(X1,X2)),X3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_38]),c_0_38]) ).

cnf(c_0_55,plain,
    k4_xboole_0(X1,X1) = k1_xboole_0,
    inference(rw,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_56,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_55]),c_0_51]),c_0_55])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : SEU432+2 : TPTP v8.1.0. Released v3.4.0.
% 0.09/0.12  % Command  : run_ET %s %d
% 0.11/0.31  % Computer : n032.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 600
% 0.11/0.31  % DateTime : Mon Jun 20 00:54:04 EDT 2022
% 0.11/0.31  % CPUTime  : 
% 0.47/23.56  eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.47/23.56  
% 0.47/23.57  eprover: CPU time limit exceeded, terminating
% 0.47/23.63  eprover: CPU time limit exceeded, terminating
% 0.56/46.57  eprover: CPU time limit exceeded, terminating
% 0.56/46.58  eprover: CPU time limit exceeded, terminating
% 0.56/46.61  eprover: CPU time limit exceeded, terminating
% 0.56/46.65  eprover: CPU time limit exceeded, terminating
% 0.57/47.84  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.57/47.84  
% 0.57/47.84  # Failure: Resource limit exceeded (time)
% 0.57/47.84  # OLD status Res
% 0.57/47.84  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.57/47.84  # Preprocessing time       : 0.176 s
% 0.57/47.84  # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.57/47.84  
% 0.57/47.84  # Failure: Resource limit exceeded (time)
% 0.57/47.84  # OLD status Res
% 0.57/47.84  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.57/47.84  # Preprocessing time       : 0.108 s
% 0.57/47.84  # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 0.57/47.84  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 0.57/47.84  # Preprocessing time       : 0.151 s
% 0.57/47.84  
% 0.57/47.84  # Proof found!
% 0.57/47.84  # SZS status Theorem
% 0.57/47.84  # SZS output start CNFRefutation
% See solution above
% 0.57/47.84  # Proof object total steps             : 57
% 0.57/47.84  # Proof object clause steps            : 30
% 0.57/47.84  # Proof object formula steps           : 27
% 0.57/47.84  # Proof object conjectures             : 17
% 0.57/47.84  # Proof object clause conjectures      : 14
% 0.57/47.84  # Proof object formula conjectures     : 3
% 0.57/47.84  # Proof object initial clauses used    : 16
% 0.57/47.84  # Proof object initial formulas used   : 13
% 0.57/47.84  # Proof object generating inferences   : 10
% 0.57/47.84  # Proof object simplifying inferences  : 32
% 0.57/47.84  # Training examples: 0 positive, 0 negative
% 0.57/47.84  # Parsed axioms                        : 4505
% 0.57/47.84  # Removed by relevancy pruning/SinE    : 3791
% 0.57/47.84  # Initial clauses                      : 1238
% 0.57/47.84  # Removed in clause preprocessing      : 29
% 0.57/47.84  # Initial clauses in saturation        : 1209
% 0.57/47.84  # Processed clauses                    : 1567
% 0.57/47.84  # ...of these trivial                  : 51
% 0.57/47.84  # ...subsumed                          : 221
% 0.57/47.84  # ...remaining for further processing  : 1295
% 0.57/47.84  # Other redundant clauses eliminated   : 137
% 0.57/47.84  # Clauses deleted for lack of memory   : 0
% 0.57/47.84  # Backward-subsumed                    : 46
% 0.57/47.84  # Backward-rewritten                   : 6
% 0.57/47.84  # Generated clauses                    : 30258
% 0.57/47.84  # ...of the previous two non-trivial   : 27996
% 0.57/47.84  # Contextual simplify-reflections      : 117
% 0.57/47.84  # Paramodulations                      : 30039
% 0.57/47.84  # Factorizations                       : 28
% 0.57/47.84  # Equation resolutions                 : 192
% 0.57/47.84  # Current number of processed clauses  : 1229
% 0.57/47.84  #    Positive orientable unit clauses  : 156
% 0.57/47.84  #    Positive unorientable unit clauses: 7
% 0.57/47.84  #    Negative unit clauses             : 74
% 0.57/47.84  #    Non-unit-clauses                  : 992
% 0.57/47.84  # Current number of unprocessed clauses: 27221
% 0.57/47.84  # ...number of literals in the above   : 116873
% 0.57/47.84  # Current number of archived formulas  : 0
% 0.57/47.84  # Current number of archived clauses   : 54
% 0.57/47.84  # Clause-clause subsumption calls (NU) : 295176
% 0.57/47.84  # Rec. Clause-clause subsumption calls : 75836
% 0.57/47.84  # Non-unit clause-clause subsumptions  : 263
% 0.57/47.84  # Unit Clause-clause subsumption calls : 21585
% 0.57/47.84  # Rewrite failures with RHS unbound    : 0
% 0.57/47.84  # BW rewrite match attempts            : 124
% 0.57/47.84  # BW rewrite match successes           : 42
% 0.57/47.84  # Condensation attempts                : 0
% 0.57/47.84  # Condensation successes               : 0
% 0.57/47.84  # Termbank termtop insertions          : 560236
% 0.57/47.84  
% 0.57/47.84  # -------------------------------------------------
% 0.57/47.84  # User time                : 0.686 s
% 0.57/47.84  # System time              : 0.020 s
% 0.57/47.84  # Total time               : 0.706 s
% 0.57/47.84  # Maximum resident set size: 41276 pages
% 0.57/69.58  eprover: CPU time limit exceeded, terminating
% 0.57/69.60  eprover: CPU time limit exceeded, terminating
% 0.57/69.61  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.61  eprover: No such file or directory
% 0.57/69.61  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.61  eprover: No such file or directory
% 0.57/69.62  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.62  eprover: No such file or directory
% 0.57/69.62  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.62  eprover: No such file or directory
% 0.57/69.62  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.62  eprover: No such file or directory
% 0.57/69.62  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.62  eprover: No such file or directory
% 0.57/69.62  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.62  eprover: No such file or directory
% 0.57/69.63  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.63  eprover: No such file or directory
% 0.57/69.63  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.63  eprover: No such file or directory
% 0.57/69.63  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.63  eprover: No such file or directory
% 0.57/69.63  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.63  eprover: No such file or directory
% 0.57/69.63  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.63  eprover: No such file or directory
% 0.57/69.64  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.64  eprover: No such file or directory
% 0.57/69.64  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.64  eprover: No such file or directory
% 0.57/69.64  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.64  eprover: No such file or directory
% 0.57/69.65  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.65  eprover: No such file or directory
% 0.57/69.65  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.65  eprover: No such file or directory
% 0.57/69.66  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.66  eprover: No such file or directory
% 0.57/69.66  eprover: CPU time limit exceeded, terminating
% 0.57/69.68  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.68  eprover: No such file or directory
% 0.57/69.69  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.69  eprover: No such file or directory
% 0.57/69.69  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.69  eprover: No such file or directory
% 0.57/69.70  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.70  eprover: No such file or directory
% 0.57/69.70  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.70  eprover: No such file or directory
% 0.57/69.71  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.71  eprover: No such file or directory
% 0.57/69.71  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.71  eprover: No such file or directory
% 0.57/69.72  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.72  eprover: No such file or directory
% 0.57/69.72  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.72  eprover: No such file or directory
%------------------------------------------------------------------------------