TSTP Solution File: SEU136+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU136+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n010.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 08:38:43 EDT 2022

% Result   : Theorem 28.23s 4.99s
% Output   : CNFRefutation 28.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   33 (   9 unt;  15 nHn;  26 RR)
%            Number of literals    :   82 (  21 equ;  38 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-3 aty)
%            Number of variables   :   78 (   9 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_33,negated_conjecture,
    set_difference(set_union2(esk6_0,esk7_0),esk7_0) != set_difference(esk6_0,esk7_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vz0oxsb6/lgb.p',i_0_33) ).

cnf(i_0_2,plain,
    set_union2(X1,X2) = set_union2(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vz0oxsb6/lgb.p',i_0_2) ).

cnf(i_0_20,plain,
    ( in(X1,X2)
    | X3 != set_difference(X2,X4)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vz0oxsb6/lgb.p',i_0_20) ).

cnf(i_0_16,plain,
    ( X1 = set_difference(X2,X3)
    | in(esk3_3(X2,X3,X1),X1)
    | in(esk3_3(X2,X3,X1),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vz0oxsb6/lgb.p',i_0_16) ).

cnf(i_0_9,plain,
    ( in(X1,X2)
    | X2 != set_union2(X3,X4)
    | ~ in(X1,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vz0oxsb6/lgb.p',i_0_9) ).

cnf(i_0_11,plain,
    ( in(X1,X2)
    | in(X1,X3)
    | X4 != set_union2(X3,X2)
    | ~ in(X1,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vz0oxsb6/lgb.p',i_0_11) ).

cnf(i_0_19,plain,
    ( X1 != set_difference(X2,X3)
    | ~ in(X4,X1)
    | ~ in(X4,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vz0oxsb6/lgb.p',i_0_19) ).

cnf(i_0_18,plain,
    ( in(X1,X2)
    | in(X1,X3)
    | X2 != set_difference(X4,X3)
    | ~ in(X1,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vz0oxsb6/lgb.p',i_0_18) ).

cnf(i_0_17,plain,
    ( X1 = set_difference(X2,X3)
    | in(esk3_3(X2,X3,X1),X3)
    | ~ in(esk3_3(X2,X3,X1),X1)
    | ~ in(esk3_3(X2,X3,X1),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vz0oxsb6/lgb.p',i_0_17) ).

cnf(i_0_15,plain,
    ( X1 = set_difference(X2,X3)
    | in(esk3_3(X2,X3,X1),X1)
    | ~ in(esk3_3(X2,X3,X1),X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vz0oxsb6/lgb.p',i_0_15) ).

cnf(c_0_44,negated_conjecture,
    set_difference(set_union2(esk6_0,esk7_0),esk7_0) != set_difference(esk6_0,esk7_0),
    i_0_33 ).

cnf(c_0_45,plain,
    set_union2(X1,X2) = set_union2(X2,X1),
    i_0_2 ).

cnf(c_0_46,plain,
    ( in(X1,X2)
    | X3 != set_difference(X2,X4)
    | ~ in(X1,X3) ),
    i_0_20 ).

cnf(c_0_47,negated_conjecture,
    set_difference(set_union2(esk7_0,esk6_0),esk7_0) != set_difference(esk6_0,esk7_0),
    inference(rw,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_48,plain,
    ( X1 = set_difference(X2,X3)
    | in(esk3_3(X2,X3,X1),X1)
    | in(esk3_3(X2,X3,X1),X2) ),
    i_0_16 ).

cnf(c_0_49,plain,
    ( in(X1,X2)
    | X2 != set_union2(X3,X4)
    | ~ in(X1,X4) ),
    i_0_9 ).

cnf(c_0_50,plain,
    ( in(X1,X2)
    | in(X1,X3)
    | X4 != set_union2(X3,X2)
    | ~ in(X1,X4) ),
    i_0_11 ).

cnf(c_0_51,plain,
    ( in(X1,X2)
    | ~ in(X1,set_difference(X2,X3)) ),
    inference(er,[status(thm)],[c_0_46]) ).

cnf(c_0_52,negated_conjecture,
    ( in(esk3_3(set_union2(esk7_0,esk6_0),esk7_0,set_difference(esk6_0,esk7_0)),set_difference(esk6_0,esk7_0))
    | in(esk3_3(set_union2(esk7_0,esk6_0),esk7_0,set_difference(esk6_0,esk7_0)),set_union2(esk7_0,esk6_0)) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48])]) ).

cnf(c_0_53,plain,
    ( in(X1,set_union2(X2,X3))
    | ~ in(X1,X3) ),
    inference(er,[status(thm)],[c_0_49]) ).

cnf(c_0_54,plain,
    ( X1 != set_difference(X2,X3)
    | ~ in(X4,X1)
    | ~ in(X4,X3) ),
    i_0_19 ).

cnf(c_0_55,plain,
    ( in(X1,X2)
    | in(X1,X3)
    | X2 != set_difference(X4,X3)
    | ~ in(X1,X4) ),
    i_0_18 ).

cnf(c_0_56,plain,
    ( in(X1,X2)
    | in(X1,X3)
    | ~ in(X1,set_union2(X2,X3)) ),
    inference(er,[status(thm)],[c_0_50]) ).

cnf(c_0_57,plain,
    in(esk3_3(set_union2(esk7_0,esk6_0),esk7_0,set_difference(esk6_0,esk7_0)),set_union2(esk7_0,esk6_0)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]) ).

cnf(c_0_58,plain,
    ( X1 = set_difference(X2,X3)
    | in(esk3_3(X2,X3,X1),X3)
    | ~ in(esk3_3(X2,X3,X1),X1)
    | ~ in(esk3_3(X2,X3,X1),X2) ),
    i_0_17 ).

cnf(c_0_59,plain,
    ( ~ in(X1,set_difference(X2,X3))
    | ~ in(X1,X3) ),
    inference(er,[status(thm)],[c_0_54]) ).

cnf(c_0_60,plain,
    ( in(X1,set_difference(X2,X3))
    | in(X1,X3)
    | ~ in(X1,X2) ),
    inference(er,[status(thm)],[c_0_55]) ).

cnf(c_0_61,plain,
    ( in(esk3_3(set_union2(esk7_0,esk6_0),esk7_0,set_difference(esk6_0,esk7_0)),esk7_0)
    | in(esk3_3(set_union2(esk7_0,esk6_0),esk7_0,set_difference(esk6_0,esk7_0)),esk6_0) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_62,plain,
    ~ in(esk3_3(set_union2(esk7_0,esk6_0),esk7_0,set_difference(esk6_0,esk7_0)),set_difference(esk6_0,esk7_0)),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_57]),c_0_47]),c_0_59]) ).

cnf(c_0_63,plain,
    ( in(esk3_3(set_union2(esk7_0,esk6_0),esk7_0,set_difference(esk6_0,esk7_0)),set_difference(esk6_0,X1))
    | in(esk3_3(set_union2(esk7_0,esk6_0),esk7_0,set_difference(esk6_0,esk7_0)),esk7_0)
    | in(esk3_3(set_union2(esk7_0,esk6_0),esk7_0,set_difference(esk6_0,esk7_0)),X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_64,plain,
    ( X1 = set_difference(X2,X3)
    | in(esk3_3(X2,X3,X1),X1)
    | ~ in(esk3_3(X2,X3,X1),X3) ),
    i_0_15 ).

cnf(c_0_65,plain,
    in(esk3_3(set_union2(esk7_0,esk6_0),esk7_0,set_difference(esk6_0,esk7_0)),esk7_0),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_66,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_47]),c_0_62]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU136+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n010.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jun 20 02:02:24 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 28.23/4.99  # ENIGMATIC: Solved by autoschedule-lgb:
% 28.23/4.99  # No SInE strategy applied
% 28.23/4.99  # Trying AutoSched0 for 150 seconds
% 28.23/4.99  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S006A
% 28.23/4.99  # and selection function SelectLargestNegLit.
% 28.23/4.99  #
% 28.23/4.99  # Preprocessing time       : 0.023 s
% 28.23/4.99  # Presaturation interreduction done
% 28.23/4.99  
% 28.23/4.99  # Proof found!
% 28.23/4.99  # SZS status Theorem
% 28.23/4.99  # SZS output start CNFRefutation
% See solution above
% 28.23/4.99  # Training examples: 0 positive, 0 negative
% 28.23/4.99  
% 28.23/4.99  # -------------------------------------------------
% 28.23/4.99  # User time                : 2.438 s
% 28.23/4.99  # System time              : 0.087 s
% 28.23/4.99  # Total time               : 2.525 s
% 28.23/4.99  # Maximum resident set size: 7128 pages
% 28.23/4.99  
%------------------------------------------------------------------------------