TSTP Solution File: SET171+4 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SET171+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:22:21 EDT 2023

% Result   : Theorem 0.83s 0.60s
% Output   : CNFRefutation 0.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   52 (  13 unt;   0 def)
%            Number of atoms       :  124 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  135 (  63   ~;  57   |;  10   &)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   54 (   4 sgn;  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(thI11,conjecture,
    ! [X1,X2,X6] : equal_set(union(X1,intersection(X2,X6)),intersection(union(X1,X2),union(X1,X6))),
    file('/export/starexec/sandbox/tmp/tmp.xkWQIzP7EA/E---3.1_3466.p',thI11) ).

fof(equal_set,axiom,
    ! [X1,X2] :
      ( equal_set(X1,X2)
    <=> ( subset(X1,X2)
        & subset(X2,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.xkWQIzP7EA/E---3.1_3466.p',equal_set) ).

fof(subset,axiom,
    ! [X1,X2] :
      ( subset(X1,X2)
    <=> ! [X3] :
          ( member(X3,X1)
         => member(X3,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.xkWQIzP7EA/E---3.1_3466.p',subset) ).

fof(intersection,axiom,
    ! [X3,X1,X2] :
      ( member(X3,intersection(X1,X2))
    <=> ( member(X3,X1)
        & member(X3,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.xkWQIzP7EA/E---3.1_3466.p',intersection) ).

fof(union,axiom,
    ! [X3,X1,X2] :
      ( member(X3,union(X1,X2))
    <=> ( member(X3,X1)
        | member(X3,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.xkWQIzP7EA/E---3.1_3466.p',union) ).

fof(c_0_5,negated_conjecture,
    ~ ! [X1,X2,X6] : equal_set(union(X1,intersection(X2,X6)),intersection(union(X1,X2),union(X1,X6))),
    inference(assume_negation,[status(cth)],[thI11]) ).

fof(c_0_6,negated_conjecture,
    ~ equal_set(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).

fof(c_0_7,plain,
    ! [X13,X14] :
      ( ( subset(X13,X14)
        | ~ equal_set(X13,X14) )
      & ( subset(X14,X13)
        | ~ equal_set(X13,X14) )
      & ( ~ subset(X13,X14)
        | ~ subset(X14,X13)
        | equal_set(X13,X14) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[equal_set])])]) ).

cnf(c_0_8,negated_conjecture,
    ~ equal_set(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,plain,
    ( equal_set(X1,X2)
    | ~ subset(X1,X2)
    | ~ subset(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_10,plain,
    ! [X7,X8,X9,X10,X11] :
      ( ( ~ subset(X7,X8)
        | ~ member(X9,X7)
        | member(X9,X8) )
      & ( member(esk1_2(X10,X11),X10)
        | subset(X10,X11) )
      & ( ~ member(esk1_2(X10,X11),X11)
        | subset(X10,X11) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[subset])])])])])]) ).

cnf(c_0_11,negated_conjecture,
    ( ~ subset(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0)))
    | ~ subset(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_12,plain,
    ( subset(X1,X2)
    | ~ member(esk1_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_13,negated_conjecture,
    ( ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)))
    | ~ subset(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

fof(c_0_14,plain,
    ! [X17,X18,X19] :
      ( ( member(X17,X18)
        | ~ member(X17,intersection(X18,X19)) )
      & ( member(X17,X19)
        | ~ member(X17,intersection(X18,X19)) )
      & ( ~ member(X17,X18)
        | ~ member(X17,X19)
        | member(X17,intersection(X18,X19)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[intersection])])]) ).

cnf(c_0_15,plain,
    ( member(esk1_2(X1,X2),X1)
    | subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,negated_conjecture,
    ( ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)))
    | ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),union(esk4_0,intersection(esk5_0,esk6_0))) ),
    inference(spm,[status(thm)],[c_0_13,c_0_12]) ).

cnf(c_0_17,plain,
    ( member(X1,intersection(X2,X3))
    | ~ member(X1,X2)
    | ~ member(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_18,plain,
    ! [X20,X21,X22] :
      ( ( ~ member(X20,union(X21,X22))
        | member(X20,X21)
        | member(X20,X22) )
      & ( ~ member(X20,X21)
        | member(X20,union(X21,X22)) )
      & ( ~ member(X20,X22)
        | member(X20,union(X21,X22)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[union])])]) ).

cnf(c_0_19,negated_conjecture,
    ( member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)))
    | ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))) ),
    inference(spm,[status(thm)],[c_0_13,c_0_15]) ).

cnf(c_0_20,negated_conjecture,
    ( member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,intersection(esk5_0,esk6_0)))
    | ~ subset(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))) ),
    inference(spm,[status(thm)],[c_0_11,c_0_15]) ).

cnf(c_0_21,negated_conjecture,
    ( ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),union(esk4_0,intersection(esk5_0,esk6_0)))
    | ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,esk6_0))
    | ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,esk5_0)) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_22,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_23,negated_conjecture,
    ( member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)))
    | ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,esk6_0))
    | ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,esk5_0)) ),
    inference(spm,[status(thm)],[c_0_19,c_0_17]) ).

cnf(c_0_24,plain,
    ( member(X1,union(X3,X2))
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_25,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_26,negated_conjecture,
    ( member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,intersection(esk5_0,esk6_0)))
    | ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),union(esk4_0,intersection(esk5_0,esk6_0))) ),
    inference(spm,[status(thm)],[c_0_20,c_0_12]) ).

cnf(c_0_27,negated_conjecture,
    ( ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),union(esk4_0,intersection(esk5_0,esk6_0)))
    | ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk4_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_22]) ).

cnf(c_0_28,negated_conjecture,
    ( member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)))
    | member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,intersection(esk5_0,esk6_0))) ),
    inference(spm,[status(thm)],[c_0_20,c_0_15]) ).

cnf(c_0_29,negated_conjecture,
    ( member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)))
    | ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk4_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_22]),c_0_22]) ).

cnf(c_0_30,negated_conjecture,
    ( ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),union(esk4_0,intersection(esk5_0,esk6_0)))
    | ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,esk5_0))
    | ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk6_0) ),
    inference(spm,[status(thm)],[c_0_21,c_0_24]) ).

cnf(c_0_31,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_32,negated_conjecture,
    ( member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),intersection(esk5_0,esk6_0))
    | ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),union(esk4_0,intersection(esk5_0,esk6_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).

cnf(c_0_33,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_34,negated_conjecture,
    ( member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)))
    | ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,esk5_0))
    | ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk6_0) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_35,negated_conjecture,
    ( member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)))
    | member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),intersection(esk5_0,esk6_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_28]),c_0_29]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),union(esk4_0,intersection(esk5_0,esk6_0)))
    | ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk6_0)
    | ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk5_0) ),
    inference(spm,[status(thm)],[c_0_30,c_0_24]) ).

cnf(c_0_37,negated_conjecture,
    ( member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk6_0)
    | ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),union(esk4_0,intersection(esk5_0,esk6_0))) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

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

cnf(c_0_39,negated_conjecture,
    ( member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)))
    | ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk6_0)
    | ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk5_0) ),
    inference(spm,[status(thm)],[c_0_34,c_0_24]) ).

cnf(c_0_40,negated_conjecture,
    ( member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)))
    | member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk6_0) ),
    inference(spm,[status(thm)],[c_0_31,c_0_35]) ).

cnf(c_0_41,negated_conjecture,
    ( member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)))
    | member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk5_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_35]) ).

cnf(c_0_42,negated_conjecture,
    ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),union(esk4_0,intersection(esk5_0,esk6_0))),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).

cnf(c_0_43,negated_conjecture,
    member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).

cnf(c_0_44,negated_conjecture,
    ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk5_0,esk6_0)),
    inference(spm,[status(thm)],[c_0_42,c_0_24]) ).

cnf(c_0_45,negated_conjecture,
    member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),union(esk4_0,esk5_0)),
    inference(spm,[status(thm)],[c_0_33,c_0_43]) ).

cnf(c_0_46,negated_conjecture,
    ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),esk4_0),
    inference(spm,[status(thm)],[c_0_42,c_0_22]) ).

cnf(c_0_47,negated_conjecture,
    ( ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),esk6_0)
    | ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),esk5_0) ),
    inference(spm,[status(thm)],[c_0_44,c_0_17]) ).

cnf(c_0_48,negated_conjecture,
    member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),esk5_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_45]),c_0_46]) ).

cnf(c_0_49,negated_conjecture,
    member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),union(esk4_0,esk6_0)),
    inference(spm,[status(thm)],[c_0_31,c_0_43]) ).

cnf(c_0_50,negated_conjecture,
    ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48])]) ).

cnf(c_0_51,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_49]),c_0_50]),c_0_46]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET171+4 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.12/0.34  % Computer : n005.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 2400
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Oct  2 16:50:01 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 0.19/0.45  Running first-order model finding
% 0.19/0.45  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.xkWQIzP7EA/E---3.1_3466.p
% 0.83/0.60  # Version: 3.1pre001
% 0.83/0.60  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.83/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.83/0.60  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.83/0.60  # Starting new_bool_3 with 300s (1) cores
% 0.83/0.60  # Starting new_bool_1 with 300s (1) cores
% 0.83/0.60  # Starting sh5l with 300s (1) cores
% 0.83/0.60  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3543 completed with status 0
% 0.83/0.60  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.83/0.60  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.83/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.83/0.60  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.83/0.60  # No SInE strategy applied
% 0.83/0.60  # Search class: FGHSF-FFMF21-SFFFFFNN
% 0.83/0.60  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.83/0.60  # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 811s (1) cores
% 0.83/0.60  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.83/0.60  # Starting new_bool_3 with 136s (1) cores
% 0.83/0.60  # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S033N with 136s (1) cores
% 0.83/0.60  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S05BI with 136s (1) cores
% 0.83/0.60  # G-E--_208_B00_00_F1_SE_CS_SP_PS_S033N with pid 3553 completed with status 0
% 0.83/0.60  # Result found by G-E--_208_B00_00_F1_SE_CS_SP_PS_S033N
% 0.83/0.60  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.83/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.83/0.60  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.83/0.60  # No SInE strategy applied
% 0.83/0.60  # Search class: FGHSF-FFMF21-SFFFFFNN
% 0.83/0.60  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.83/0.60  # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 811s (1) cores
% 0.83/0.60  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.83/0.60  # Starting new_bool_3 with 136s (1) cores
% 0.83/0.60  # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S033N with 136s (1) cores
% 0.83/0.60  # Preprocessing time       : 0.001 s
% 0.83/0.60  # Presaturation interreduction done
% 0.83/0.60  
% 0.83/0.60  # Proof found!
% 0.83/0.60  # SZS status Theorem
% 0.83/0.60  # SZS output start CNFRefutation
% See solution above
% 0.83/0.60  # Parsed axioms                        : 12
% 0.83/0.60  # Removed by relevancy pruning/SinE    : 0
% 0.83/0.60  # Initial clauses                      : 30
% 0.83/0.60  # Removed in clause preprocessing      : 0
% 0.83/0.60  # Initial clauses in saturation        : 30
% 0.83/0.60  # Processed clauses                    : 983
% 0.83/0.60  # ...of these trivial                  : 64
% 0.83/0.60  # ...subsumed                          : 447
% 0.83/0.60  # ...remaining for further processing  : 472
% 0.83/0.60  # Other redundant clauses eliminated   : 5
% 0.83/0.60  # Clauses deleted for lack of memory   : 0
% 0.83/0.60  # Backward-subsumed                    : 12
% 0.83/0.60  # Backward-rewritten                   : 12
% 0.83/0.60  # Generated clauses                    : 13902
% 0.83/0.60  # ...of the previous two non-redundant : 7418
% 0.83/0.60  # ...aggressively subsumed             : 0
% 0.83/0.60  # Contextual simplify-reflections      : 6
% 0.83/0.60  # Paramodulations                      : 13879
% 0.83/0.60  # Factorizations                       : 18
% 0.83/0.60  # NegExts                              : 0
% 0.83/0.60  # Equation resolutions                 : 5
% 0.83/0.60  # Total rewrite steps                  : 6547
% 0.83/0.60  # Propositional unsat checks           : 0
% 0.83/0.60  #    Propositional check models        : 0
% 0.83/0.60  #    Propositional check unsatisfiable : 0
% 0.83/0.60  #    Propositional clauses             : 0
% 0.83/0.60  #    Propositional clauses after purity: 0
% 0.83/0.60  #    Propositional unsat core size     : 0
% 0.83/0.60  #    Propositional preprocessing time  : 0.000
% 0.83/0.60  #    Propositional encoding time       : 0.000
% 0.83/0.60  #    Propositional solver time         : 0.000
% 0.83/0.60  #    Success case prop preproc time    : 0.000
% 0.83/0.60  #    Success case prop encoding time   : 0.000
% 0.83/0.60  #    Success case prop solver time     : 0.000
% 0.83/0.60  # Current number of processed clauses  : 415
% 0.83/0.60  #    Positive orientable unit clauses  : 162
% 0.83/0.60  #    Positive unorientable unit clauses: 0
% 0.83/0.60  #    Negative unit clauses             : 6
% 0.83/0.60  #    Non-unit-clauses                  : 247
% 0.83/0.60  # Current number of unprocessed clauses: 6483
% 0.83/0.60  # ...number of literals in the above   : 12279
% 0.83/0.60  # Current number of archived formulas  : 0
% 0.83/0.60  # Current number of archived clauses   : 54
% 0.83/0.60  # Clause-clause subsumption calls (NU) : 24504
% 0.83/0.60  # Rec. Clause-clause subsumption calls : 19405
% 0.83/0.60  # Non-unit clause-clause subsumptions  : 448
% 0.83/0.60  # Unit Clause-clause subsumption calls : 750
% 0.83/0.60  # Rewrite failures with RHS unbound    : 0
% 0.83/0.60  # BW rewrite match attempts            : 349
% 0.83/0.60  # BW rewrite match successes           : 2
% 0.83/0.60  # Condensation attempts                : 0
% 0.83/0.60  # Condensation successes               : 0
% 0.83/0.60  # Termbank termtop insertions          : 154048
% 0.83/0.60  
% 0.83/0.60  # -------------------------------------------------
% 0.83/0.60  # User time                : 0.126 s
% 0.83/0.60  # System time              : 0.007 s
% 0.83/0.60  # Total time               : 0.134 s
% 0.83/0.60  # Maximum resident set size: 1768 pages
% 0.83/0.60  
% 0.83/0.60  # -------------------------------------------------
% 0.83/0.60  # User time                : 0.621 s
% 0.83/0.60  # System time              : 0.034 s
% 0.83/0.60  # Total time               : 0.655 s
% 0.83/0.60  # Maximum resident set size: 1688 pages
% 0.83/0.60  % E---3.1 exiting
%------------------------------------------------------------------------------