TSTP Solution File: SET938+1 by Enigma---0.5.1

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET938+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n008.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 00:15:24 EDT 2022

% Result   : Theorem 9.08s 2.65s
% Output   : CNFRefutation 9.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   39 (  11 unt;  10 nHn;  27 RR)
%            Number of literals    :   83 (  10 equ;  37 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   85 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
    ( subset(X1,X2)
    | X3 != powerset(X2)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ihalt_bd/input.p',i_0_7) ).

cnf(i_0_6,plain,
    ( in(X1,X2)
    | X2 != powerset(X3)
    | ~ subset(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ihalt_bd/input.p',i_0_6) ).

cnf(i_0_16,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ihalt_bd/input.p',i_0_16) ).

cnf(i_0_15,plain,
    ( subset(X1,X2)
    | in(esk3_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ihalt_bd/input.p',i_0_15) ).

cnf(i_0_14,plain,
    ( subset(X1,X2)
    | ~ in(esk3_2(X1,X2),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ihalt_bd/input.p',i_0_14) ).

cnf(i_0_11,plain,
    ( in(X1,X2)
    | X2 != set_union2(X3,X4)
    | ~ in(X1,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ihalt_bd/input.p',i_0_11) ).

cnf(i_0_13,plain,
    ( in(X1,X2)
    | in(X1,X3)
    | X4 != set_union2(X3,X2)
    | ~ in(X1,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ihalt_bd/input.p',i_0_13) ).

cnf(i_0_24,negated_conjecture,
    ~ subset(set_union2(powerset(set_difference(esk6_0,esk7_0)),powerset(set_difference(esk7_0,esk6_0))),powerset(set_union2(set_difference(esk6_0,esk7_0),set_difference(esk7_0,esk6_0)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ihalt_bd/input.p',i_0_24) ).

cnf(i_0_2,plain,
    set_union2(X1,X2) = set_union2(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ihalt_bd/input.p',i_0_2) ).

cnf(c_0_34,plain,
    ( subset(X1,X2)
    | X3 != powerset(X2)
    | ~ in(X1,X3) ),
    i_0_7 ).

cnf(c_0_35,plain,
    ( in(X1,X2)
    | X2 != powerset(X3)
    | ~ subset(X1,X3) ),
    i_0_6 ).

cnf(c_0_36,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    i_0_16 ).

cnf(c_0_37,plain,
    ( subset(X1,X2)
    | ~ in(X1,powerset(X2)) ),
    inference(er,[status(thm)],[c_0_34]) ).

cnf(c_0_38,plain,
    ( in(X1,powerset(X2))
    | ~ subset(X1,X2) ),
    inference(er,[status(thm)],[c_0_35]) ).

cnf(c_0_39,plain,
    ( subset(X1,X2)
    | in(esk3_2(X1,X2),X1) ),
    i_0_15 ).

cnf(c_0_40,plain,
    ( subset(X1,X2)
    | ~ in(esk3_2(X1,X2),X2) ),
    i_0_14 ).

cnf(c_0_41,plain,
    ( in(X1,X2)
    | X2 != set_union2(X3,X4)
    | ~ in(X1,X4) ),
    i_0_11 ).

cnf(c_0_42,plain,
    ( in(X1,X2)
    | ~ in(X3,powerset(X2))
    | ~ in(X1,X3) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_43,plain,
    ( in(esk3_2(X1,X2),X1)
    | in(X1,powerset(X2)) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_44,plain,
    ( in(X1,powerset(X2))
    | ~ in(esk3_2(X1,X2),X2) ),
    inference(spm,[status(thm)],[c_0_38,c_0_40]) ).

cnf(c_0_45,plain,
    ( in(X1,set_union2(X2,X3))
    | ~ in(X1,X3) ),
    inference(er,[status(thm)],[c_0_41]) ).

cnf(c_0_46,plain,
    ( in(powerset(X1),powerset(X2))
    | in(X3,X1)
    | ~ in(X3,esk3_2(powerset(X1),X2)) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_47,plain,
    ( in(X1,powerset(set_union2(X2,X3)))
    | ~ in(esk3_2(X1,set_union2(X2,X3)),X3) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_48,plain,
    ( in(esk3_2(esk3_2(powerset(X1),X2),X3),X1)
    | in(esk3_2(powerset(X1),X2),powerset(X3))
    | in(powerset(X1),powerset(X2)) ),
    inference(spm,[status(thm)],[c_0_46,c_0_43]) ).

cnf(c_0_49,plain,
    ( in(esk3_2(powerset(X1),X2),powerset(set_union2(X3,X1)))
    | in(powerset(X1),powerset(X2)) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_50,plain,
    ( in(X1,X2)
    | in(X1,X3)
    | X4 != set_union2(X3,X2)
    | ~ in(X1,X4) ),
    i_0_13 ).

cnf(c_0_51,negated_conjecture,
    ~ subset(set_union2(powerset(set_difference(esk6_0,esk7_0)),powerset(set_difference(esk7_0,esk6_0))),powerset(set_union2(set_difference(esk6_0,esk7_0),set_difference(esk7_0,esk6_0)))),
    i_0_24 ).

cnf(c_0_52,plain,
    in(powerset(X1),powerset(powerset(set_union2(X2,X1)))),
    inference(spm,[status(thm)],[c_0_44,c_0_49]) ).

cnf(c_0_53,plain,
    set_union2(X1,X2) = set_union2(X2,X1),
    i_0_2 ).

cnf(c_0_54,plain,
    ( in(X1,X2)
    | in(X1,X3)
    | ~ in(X1,set_union2(X2,X3)) ),
    inference(er,[status(thm)],[c_0_50]) ).

cnf(c_0_55,negated_conjecture,
    in(esk3_2(set_union2(powerset(set_difference(esk6_0,esk7_0)),powerset(set_difference(esk7_0,esk6_0))),powerset(set_union2(set_difference(esk6_0,esk7_0),set_difference(esk7_0,esk6_0)))),set_union2(powerset(set_difference(esk6_0,esk7_0)),powerset(set_difference(esk7_0,esk6_0)))),
    inference(spm,[status(thm)],[c_0_51,c_0_39]) ).

cnf(c_0_56,negated_conjecture,
    ~ in(esk3_2(set_union2(powerset(set_difference(esk6_0,esk7_0)),powerset(set_difference(esk7_0,esk6_0))),powerset(set_union2(set_difference(esk6_0,esk7_0),set_difference(esk7_0,esk6_0)))),powerset(set_union2(set_difference(esk6_0,esk7_0),set_difference(esk7_0,esk6_0)))),
    inference(spm,[status(thm)],[c_0_51,c_0_40]) ).

cnf(c_0_57,plain,
    ( in(X1,powerset(set_union2(X2,X3)))
    | ~ in(X1,powerset(X3)) ),
    inference(spm,[status(thm)],[c_0_42,c_0_52]) ).

cnf(c_0_58,plain,
    in(powerset(X1),powerset(powerset(set_union2(X1,X2)))),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_59,plain,
    ( in(esk3_2(set_union2(powerset(set_difference(esk6_0,esk7_0)),powerset(set_difference(esk7_0,esk6_0))),powerset(set_union2(set_difference(esk6_0,esk7_0),set_difference(esk7_0,esk6_0)))),powerset(set_difference(esk6_0,esk7_0)))
    | in(esk3_2(set_union2(powerset(set_difference(esk6_0,esk7_0)),powerset(set_difference(esk7_0,esk6_0))),powerset(set_union2(set_difference(esk6_0,esk7_0),set_difference(esk7_0,esk6_0)))),powerset(set_difference(esk7_0,esk6_0))) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_60,negated_conjecture,
    ~ in(esk3_2(set_union2(powerset(set_difference(esk6_0,esk7_0)),powerset(set_difference(esk7_0,esk6_0))),powerset(set_union2(set_difference(esk6_0,esk7_0),set_difference(esk7_0,esk6_0)))),powerset(set_difference(esk7_0,esk6_0))),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_61,plain,
    ( in(X1,powerset(set_union2(X2,X3)))
    | ~ in(X1,powerset(X2)) ),
    inference(spm,[status(thm)],[c_0_42,c_0_58]) ).

cnf(c_0_62,plain,
    in(esk3_2(set_union2(powerset(set_difference(esk6_0,esk7_0)),powerset(set_difference(esk7_0,esk6_0))),powerset(set_union2(set_difference(esk6_0,esk7_0),set_difference(esk7_0,esk6_0)))),powerset(set_difference(esk6_0,esk7_0))),
    inference(sr,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_63,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_61]),c_0_62])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET938+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sat Jul  9 17:42:40 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected complete mode:
% 9.08/2.65  # ENIGMATIC: Solved by autoschedule:
% 9.08/2.65  # No SInE strategy applied
% 9.08/2.65  # Trying AutoSched0 for 150 seconds
% 9.08/2.65  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S032I
% 9.08/2.65  # and selection function SelectUnlessUniqMax.
% 9.08/2.65  #
% 9.08/2.65  # Preprocessing time       : 0.024 s
% 9.08/2.65  # Presaturation interreduction done
% 9.08/2.65  
% 9.08/2.65  # Proof found!
% 9.08/2.65  # SZS status Theorem
% 9.08/2.65  # SZS output start CNFRefutation
% See solution above
% 9.08/2.65  # Training examples: 0 positive, 0 negative
% 9.08/2.65  
% 9.08/2.65  # -------------------------------------------------
% 9.08/2.65  # User time                : 0.174 s
% 9.08/2.65  # System time              : 0.009 s
% 9.08/2.65  # Total time               : 0.183 s
% 9.08/2.65  # Maximum resident set size: 7120 pages
% 9.08/2.65  
%------------------------------------------------------------------------------