TSTP Solution File: SET169+4 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SET169+4 : TPTP v8.1.0. Released v2.2.0.
% 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 00:49:48 EDT 2022

% Result   : Theorem 0.62s 69.79s
% Output   : CNFRefutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   59 (  14 unt;   0 def)
%            Number of atoms       :  144 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  162 (  77   ~;  68   |;  11   &)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   85 (  16 sgn  44   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(thI10,conjecture,
    ! [X1,X2,X6] : equal_set(intersection(X1,union(X2,X6)),union(intersection(X1,X2),intersection(X1,X6))),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thI10) ).

fof(equal_set,axiom,
    ! [X1,X2] :
      ( equal_set(X1,X2)
    <=> ( subset(X1,X2)
        & subset(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',equal_set) ).

fof(subset,axiom,
    ! [X1,X2] :
      ( subset(X1,X2)
    <=> ! [X3] :
          ( member(X3,X1)
         => member(X3,X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).

fof(power_set,axiom,
    ! [X3,X1] :
      ( member(X3,power_set(X1))
    <=> subset(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',power_set) ).

fof(union,axiom,
    ! [X3,X1,X2] :
      ( member(X3,union(X1,X2))
    <=> ( member(X3,X1)
        | member(X3,X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',union) ).

fof(intersection,axiom,
    ! [X3,X1,X2] :
      ( member(X3,intersection(X1,X2))
    <=> ( member(X3,X1)
        & member(X3,X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',intersection) ).

fof(c_0_6,negated_conjecture,
    ~ ! [X1,X2,X6] : equal_set(intersection(X1,union(X2,X6)),union(intersection(X1,X2),intersection(X1,X6))),
    inference(assume_negation,[status(cth)],[thI10]) ).

fof(c_0_7,negated_conjecture,
    ~ equal_set(intersection(esk4_0,union(esk5_0,esk6_0)),union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0))),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).

fof(c_0_8,plain,
    ! [X3,X4,X3,X4] :
      ( ( subset(X3,X4)
        | ~ equal_set(X3,X4) )
      & ( subset(X4,X3)
        | ~ equal_set(X3,X4) )
      & ( ~ subset(X3,X4)
        | ~ subset(X4,X3)
        | equal_set(X3,X4) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[equal_set])])])])]) ).

cnf(c_0_9,negated_conjecture,
    ~ equal_set(intersection(esk4_0,union(esk5_0,esk6_0)),union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0))),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,plain,
    ( equal_set(X1,X2)
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_11,plain,
    ! [X4,X5,X6,X4,X5] :
      ( ( ~ subset(X4,X5)
        | ~ member(X6,X4)
        | member(X6,X5) )
      & ( member(esk1_2(X4,X5),X4)
        | subset(X4,X5) )
      & ( ~ member(esk1_2(X4,X5),X5)
        | subset(X4,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)],[subset])])])])])])]) ).

cnf(c_0_12,negated_conjecture,
    ( ~ subset(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)),intersection(esk4_0,union(esk5_0,esk6_0)))
    | ~ subset(intersection(esk4_0,union(esk5_0,esk6_0)),union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0))) ),
    inference(pm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,plain,
    ( subset(X1,X2)
    | member(esk1_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_14,plain,
    ! [X4,X5,X4,X5] :
      ( ( ~ member(X4,power_set(X5))
        | subset(X4,X5) )
      & ( ~ subset(X4,X5)
        | member(X4,power_set(X5)) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[power_set])])])]) ).

cnf(c_0_15,plain,
    ( subset(X1,X2)
    | ~ member(esk1_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_16,plain,
    ! [X4,X5,X6,X4,X5,X6] :
      ( ( ~ member(X4,union(X5,X6))
        | member(X4,X5)
        | member(X4,X6) )
      & ( ~ member(X4,X5)
        | member(X4,union(X5,X6)) )
      & ( ~ member(X4,X6)
        | member(X4,union(X5,X6)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[union])])])])]) ).

cnf(c_0_17,negated_conjecture,
    ( member(esk1_2(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)),intersection(esk4_0,union(esk5_0,esk6_0))),union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)))
    | ~ subset(intersection(esk4_0,union(esk5_0,esk6_0)),union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0))) ),
    inference(pm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_18,plain,
    ( subset(X1,X2)
    | ~ member(X1,power_set(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_19,negated_conjecture,
    ( ~ member(esk1_2(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)),intersection(esk4_0,union(esk5_0,esk6_0))),intersection(esk4_0,union(esk5_0,esk6_0)))
    | ~ subset(intersection(esk4_0,union(esk5_0,esk6_0)),union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0))) ),
    inference(pm,[status(thm)],[c_0_12,c_0_15]) ).

fof(c_0_20,plain,
    ! [X4,X5,X6,X4,X5,X6] :
      ( ( member(X4,X5)
        | ~ member(X4,intersection(X5,X6)) )
      & ( member(X4,X6)
        | ~ member(X4,intersection(X5,X6)) )
      & ( ~ member(X4,X5)
        | ~ member(X4,X6)
        | member(X4,intersection(X5,X6)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[intersection])])])])]) ).

cnf(c_0_21,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_22,negated_conjecture,
    ( member(esk1_2(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)),intersection(esk4_0,union(esk5_0,esk6_0))),union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)))
    | ~ member(intersection(esk4_0,union(esk5_0,esk6_0)),power_set(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)))) ),
    inference(pm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_23,negated_conjecture,
    ( ~ member(esk1_2(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)),intersection(esk4_0,union(esk5_0,esk6_0))),intersection(esk4_0,union(esk5_0,esk6_0)))
    | ~ member(intersection(esk4_0,union(esk5_0,esk6_0)),power_set(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)))) ),
    inference(pm,[status(thm)],[c_0_19,c_0_18]) ).

cnf(c_0_24,plain,
    ( member(X1,intersection(X2,X3))
    | ~ member(X1,X3)
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_25,plain,
    ( member(X1,X3)
    | ~ member(X1,intersection(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_26,negated_conjecture,
    ( member(esk1_2(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)),intersection(esk4_0,union(esk5_0,esk6_0))),intersection(esk4_0,esk5_0))
    | member(esk1_2(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)),intersection(esk4_0,union(esk5_0,esk6_0))),intersection(esk4_0,esk6_0))
    | ~ member(intersection(esk4_0,union(esk5_0,esk6_0)),power_set(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)))) ),
    inference(pm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_27,negated_conjecture,
    ( ~ member(esk1_2(intersection(esk4_0,union(esk5_0,esk6_0)),union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0))),union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)))
    | ~ member(esk1_2(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)),intersection(esk4_0,union(esk5_0,esk6_0))),intersection(esk4_0,union(esk5_0,esk6_0))) ),
    inference(pm,[status(thm)],[c_0_19,c_0_15]) ).

cnf(c_0_28,negated_conjecture,
    ( ~ member(esk1_2(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)),intersection(esk4_0,union(esk5_0,esk6_0))),union(esk5_0,esk6_0))
    | ~ member(esk1_2(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)),intersection(esk4_0,union(esk5_0,esk6_0))),esk4_0)
    | ~ member(intersection(esk4_0,union(esk5_0,esk6_0)),power_set(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)))) ),
    inference(pm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_29,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_30,negated_conjecture,
    ( member(esk1_2(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)),intersection(esk4_0,union(esk5_0,esk6_0))),intersection(esk4_0,esk5_0))
    | member(esk1_2(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)),intersection(esk4_0,union(esk5_0,esk6_0))),esk6_0)
    | ~ member(intersection(esk4_0,union(esk5_0,esk6_0)),power_set(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)))) ),
    inference(pm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_31,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_32,negated_conjecture,
    ( ~ member(esk1_2(intersection(esk4_0,union(esk5_0,esk6_0)),union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0))),union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)))
    | ~ member(esk1_2(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)),intersection(esk4_0,union(esk5_0,esk6_0))),union(esk5_0,esk6_0))
    | ~ member(esk1_2(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)),intersection(esk4_0,union(esk5_0,esk6_0))),esk4_0) ),
    inference(pm,[status(thm)],[c_0_27,c_0_24]) ).

cnf(c_0_33,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_34,negated_conjecture,
    ( ~ member(esk1_2(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)),intersection(esk4_0,union(esk5_0,esk6_0))),esk4_0)
    | ~ member(esk1_2(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)),intersection(esk4_0,union(esk5_0,esk6_0))),esk6_0)
    | ~ member(intersection(esk4_0,union(esk5_0,esk6_0)),power_set(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)))) ),
    inference(pm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_35,negated_conjecture,
    ( member(esk1_2(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)),intersection(esk4_0,union(esk5_0,esk6_0))),esk6_0)
    | member(esk1_2(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)),intersection(esk4_0,union(esk5_0,esk6_0))),esk5_0)
    | ~ member(intersection(esk4_0,union(esk5_0,esk6_0)),power_set(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)))) ),
    inference(pm,[status(thm)],[c_0_25,c_0_30]) ).

cnf(c_0_36,negated_conjecture,
    ( member(esk1_2(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)),intersection(esk4_0,union(esk5_0,esk6_0))),esk4_0)
    | ~ member(intersection(esk4_0,union(esk5_0,esk6_0)),power_set(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)))) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_31,c_0_26]),c_0_31]) ).

cnf(c_0_37,plain,
    ( member(X1,power_set(X2))
    | ~ subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_38,negated_conjecture,
    ( ~ member(esk1_2(intersection(esk4_0,union(esk5_0,esk6_0)),union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0))),union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)))
    | ~ member(esk1_2(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)),intersection(esk4_0,union(esk5_0,esk6_0))),esk4_0)
    | ~ member(esk1_2(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)),intersection(esk4_0,union(esk5_0,esk6_0))),esk5_0) ),
    inference(pm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_39,negated_conjecture,
    ( member(esk1_2(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)),intersection(esk4_0,union(esk5_0,esk6_0))),esk5_0)
    | ~ member(intersection(esk4_0,union(esk5_0,esk6_0)),power_set(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)))) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).

cnf(c_0_40,plain,
    ( member(X1,power_set(X2))
    | ~ member(esk1_2(X1,X2),X2) ),
    inference(pm,[status(thm)],[c_0_37,c_0_15]) ).

cnf(c_0_41,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_42,negated_conjecture,
    ( ~ member(esk1_2(intersection(esk4_0,union(esk5_0,esk6_0)),union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0))),union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)))
    | ~ member(esk1_2(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)),intersection(esk4_0,union(esk5_0,esk6_0))),esk4_0) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).

cnf(c_0_43,plain,
    ( member(esk1_2(X1,X2),X1)
    | member(X3,X2)
    | ~ member(X3,X1) ),
    inference(pm,[status(thm)],[c_0_41,c_0_13]) ).

cnf(c_0_44,plain,
    ( member(esk1_2(X1,X2),X1)
    | member(X1,power_set(X2)) ),
    inference(pm,[status(thm)],[c_0_37,c_0_13]) ).

cnf(c_0_45,negated_conjecture,
    ( ~ member(esk1_2(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)),intersection(esk4_0,union(esk5_0,esk6_0))),esk4_0)
    | ~ member(esk1_2(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)),intersection(esk4_0,union(esk5_0,esk6_0))),esk5_0)
    | ~ member(intersection(esk4_0,union(esk5_0,esk6_0)),power_set(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)))) ),
    inference(pm,[status(thm)],[c_0_28,c_0_33]) ).

cnf(c_0_46,negated_conjecture,
    ~ member(esk1_2(intersection(esk4_0,union(esk5_0,esk6_0)),union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0))),union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0))),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_42,c_0_36]),c_0_40]) ).

cnf(c_0_47,plain,
    ( member(esk1_2(X1,X2),X3)
    | member(esk1_2(X1,X3),X1)
    | member(X1,power_set(X2)) ),
    inference(pm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_48,negated_conjecture,
    ~ member(intersection(esk4_0,union(esk5_0,esk6_0)),power_set(union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0)))),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_45,c_0_39]),c_0_36]) ).

cnf(c_0_49,negated_conjecture,
    ~ member(esk1_2(intersection(esk4_0,union(esk5_0,esk6_0)),union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0))),intersection(esk4_0,esk6_0)),
    inference(pm,[status(thm)],[c_0_46,c_0_29]) ).

cnf(c_0_50,negated_conjecture,
    member(esk1_2(intersection(esk4_0,union(esk5_0,esk6_0)),union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0))),intersection(esk4_0,union(esk5_0,esk6_0))),
    inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).

cnf(c_0_51,negated_conjecture,
    ~ member(esk1_2(intersection(esk4_0,union(esk5_0,esk6_0)),union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0))),intersection(esk4_0,esk5_0)),
    inference(pm,[status(thm)],[c_0_46,c_0_33]) ).

cnf(c_0_52,negated_conjecture,
    ( ~ member(esk1_2(intersection(esk4_0,union(esk5_0,esk6_0)),union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0))),esk6_0)
    | ~ member(esk1_2(intersection(esk4_0,union(esk5_0,esk6_0)),union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0))),esk4_0) ),
    inference(pm,[status(thm)],[c_0_49,c_0_24]) ).

cnf(c_0_53,negated_conjecture,
    member(esk1_2(intersection(esk4_0,union(esk5_0,esk6_0)),union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0))),esk4_0),
    inference(pm,[status(thm)],[c_0_31,c_0_50]) ).

cnf(c_0_54,negated_conjecture,
    ( ~ member(esk1_2(intersection(esk4_0,union(esk5_0,esk6_0)),union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0))),esk5_0)
    | ~ member(esk1_2(intersection(esk4_0,union(esk5_0,esk6_0)),union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0))),esk4_0) ),
    inference(pm,[status(thm)],[c_0_51,c_0_24]) ).

cnf(c_0_55,negated_conjecture,
    member(esk1_2(intersection(esk4_0,union(esk5_0,esk6_0)),union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0))),union(esk5_0,esk6_0)),
    inference(pm,[status(thm)],[c_0_25,c_0_50]) ).

cnf(c_0_56,negated_conjecture,
    ~ member(esk1_2(intersection(esk4_0,union(esk5_0,esk6_0)),union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0))),esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53])]) ).

cnf(c_0_57,negated_conjecture,
    ~ member(esk1_2(intersection(esk4_0,union(esk5_0,esk6_0)),union(intersection(esk4_0,esk5_0),intersection(esk4_0,esk6_0))),esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_53])]) ).

cnf(c_0_58,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_21,c_0_55]),c_0_56]),c_0_57]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SET169+4 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13  % Command  : run_ET %s %d
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jul 10 01:09:13 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.36/23.42  eprover: CPU time limit exceeded, terminating
% 0.36/23.43  eprover: CPU time limit exceeded, terminating
% 0.36/23.43  eprover: CPU time limit exceeded, terminating
% 0.36/23.43  eprover: CPU time limit exceeded, terminating
% 0.49/46.44  eprover: CPU time limit exceeded, terminating
% 0.49/46.45  eprover: CPU time limit exceeded, terminating
% 0.49/46.45  eprover: CPU time limit exceeded, terminating
% 0.49/46.46  eprover: CPU time limit exceeded, terminating
% 0.62/69.46  eprover: CPU time limit exceeded, terminating
% 0.62/69.46  eprover: CPU time limit exceeded, terminating
% 0.62/69.47  eprover: CPU time limit exceeded, terminating
% 0.62/69.48  eprover: CPU time limit exceeded, terminating
% 0.62/69.79  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.62/69.79  
% 0.62/69.79  # Failure: Resource limit exceeded (time)
% 0.62/69.79  # OLD status Res
% 0.62/69.79  # Preprocessing time       : 0.017 s
% 0.62/69.79  # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 0.62/69.79  
% 0.62/69.79  # Failure: Resource limit exceeded (time)
% 0.62/69.79  # OLD status Res
% 0.62/69.79  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 0.62/69.79  # Preprocessing time       : 0.010 s
% 0.62/69.79  # Running protocol protocol_eprover_75515770aeb32f68e33e9fbd9dff93f5a2e34f2e for 23 seconds:
% 0.62/69.79  
% 0.62/69.79  # Failure: Resource limit exceeded (time)
% 0.62/69.79  # OLD status Res
% 0.62/69.79  # Preprocessing time       : 0.020 s
% 0.62/69.79  # Running protocol protocol_eprover_6c565d2524e660970ec2a72c26d577f665a55420 for 23 seconds:
% 0.62/69.79  # Preprocessing time       : 0.018 s
% 0.62/69.79  
% 0.62/69.79  # Proof found!
% 0.62/69.79  # SZS status Theorem
% 0.62/69.79  # SZS output start CNFRefutation
% See solution above
% 0.62/69.79  # Proof object total steps             : 59
% 0.62/69.79  # Proof object clause steps            : 46
% 0.62/69.79  # Proof object formula steps           : 13
% 0.62/69.79  # Proof object conjectures             : 33
% 0.62/69.79  # Proof object clause conjectures      : 30
% 0.62/69.79  # Proof object formula conjectures     : 3
% 0.62/69.79  # Proof object initial clauses used    : 13
% 0.62/69.79  # Proof object initial formulas used   : 6
% 0.62/69.79  # Proof object generating inferences   : 31
% 0.62/69.79  # Proof object simplifying inferences  : 12
% 0.62/69.79  # Training examples: 0 positive, 0 negative
% 0.62/69.79  # Parsed axioms                        : 12
% 0.62/69.79  # Removed by relevancy pruning/SinE    : 0
% 0.62/69.79  # Initial clauses                      : 30
% 0.62/69.79  # Removed in clause preprocessing      : 0
% 0.62/69.79  # Initial clauses in saturation        : 30
% 0.62/69.79  # Processed clauses                    : 240
% 0.62/69.79  # ...of these trivial                  : 8
% 0.62/69.79  # ...subsumed                          : 7
% 0.62/69.79  # ...remaining for further processing  : 225
% 0.62/69.79  # Other redundant clauses eliminated   : 11
% 0.62/69.79  # Clauses deleted for lack of memory   : 0
% 0.62/69.79  # Backward-subsumed                    : 10
% 0.62/69.79  # Backward-rewritten                   : 8
% 0.62/69.79  # Generated clauses                    : 3969
% 0.62/69.79  # ...of the previous two non-trivial   : 3883
% 0.62/69.79  # Contextual simplify-reflections      : 11
% 0.62/69.79  # Paramodulations                      : 3938
% 0.62/69.79  # Factorizations                       : 20
% 0.62/69.79  # Equation resolutions                 : 11
% 0.62/69.79  # Current number of processed clauses  : 204
% 0.62/69.79  #    Positive orientable unit clauses  : 36
% 0.62/69.79  #    Positive unorientable unit clauses: 0
% 0.62/69.79  #    Negative unit clauses             : 12
% 0.62/69.79  #    Non-unit-clauses                  : 156
% 0.62/69.79  # Current number of unprocessed clauses: 3590
% 0.62/69.79  # ...number of literals in the above   : 10845
% 0.62/69.79  # Current number of archived formulas  : 0
% 0.62/69.79  # Current number of archived clauses   : 18
% 0.62/69.79  # Clause-clause subsumption calls (NU) : 7161
% 0.62/69.79  # Rec. Clause-clause subsumption calls : 5820
% 0.62/69.79  # Non-unit clause-clause subsumptions  : 22
% 0.62/69.79  # Unit Clause-clause subsumption calls : 889
% 0.62/69.79  # Rewrite failures with RHS unbound    : 0
% 0.62/69.79  # BW rewrite match attempts            : 55
% 0.62/69.79  # BW rewrite match successes           : 5
% 0.62/69.79  # Condensation attempts                : 0
% 0.62/69.79  # Condensation successes               : 0
% 0.62/69.79  # Termbank termtop insertions          : 48123
% 0.62/69.79  
% 0.62/69.79  # -------------------------------------------------
% 0.62/69.79  # User time                : 0.078 s
% 0.62/69.79  # System time              : 0.003 s
% 0.62/69.79  # Total time               : 0.081 s
% 0.62/69.79  # Maximum resident set size: 7372 pages
% 0.62/92.48  eprover: CPU time limit exceeded, terminating
% 0.62/92.48  eprover: CPU time limit exceeded, terminating
% 0.62/92.49  eprover: CPU time limit exceeded, terminating
% 0.62/92.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.62/92.50  eprover: No such file or directory
% 0.62/92.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.62/92.50  eprover: No such file or directory
% 0.62/92.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.62/92.50  eprover: No such file or directory
% 0.62/92.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.62/92.50  eprover: No such file or directory
% 0.62/92.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.62/92.51  eprover: No such file or directory
% 0.62/92.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.62/92.51  eprover: No such file or directory
% 0.62/92.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.62/92.51  eprover: No such file or directory
% 0.62/92.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.62/92.51  eprover: No such file or directory
% 0.62/92.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.62/92.52  eprover: No such file or directory
% 0.62/92.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.62/92.52  eprover: No such file or directory
% 0.62/92.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.62/92.52  eprover: No such file or directory
% 0.62/92.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.62/92.52  eprover: No such file or directory
% 0.62/92.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.62/92.52  eprover: No such file or directory
% 0.62/92.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.62/92.52  eprover: No such file or directory
% 0.62/92.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.62/92.52  eprover: No such file or directory
% 0.62/92.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.62/92.53  eprover: No such file or directory
% 0.62/92.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.62/92.53  eprover: No such file or directory
% 0.62/92.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.62/92.53  eprover: No such file or directory
% 0.62/92.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.62/92.53  eprover: No such file or directory
% 0.62/92.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.62/92.53  eprover: No such file or directory
% 0.62/92.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.62/92.53  eprover: No such file or directory
% 0.62/92.54  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.62/92.54  eprover: No such file or directory
% 0.62/92.54  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.62/92.54  eprover: No such file or directory
%------------------------------------------------------------------------------