TSTP Solution File: SEU138+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU138+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n014.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 08:38:45 EDT 2022

% Result   : Theorem 7.91s 2.37s
% Output   : CNFRefutation 7.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   33 (   9 unt;  10 nHn;  27 RR)
%            Number of literals    :   81 (  20 equ;  41 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   :   79 (   9 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_14,plain,
    ( in(X1,X2)
    | X3 != set_intersection2(X2,X4)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p8ce479q/lgb.p',i_0_14) ).

cnf(i_0_18,plain,
    ( in(X1,X2)
    | in(X1,X3)
    | X2 != set_difference(X4,X3)
    | ~ in(X1,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p8ce479q/lgb.p',i_0_18) ).

cnf(i_0_31,negated_conjecture,
    set_difference(esk6_0,set_difference(esk6_0,esk7_0)) != set_intersection2(esk6_0,esk7_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p8ce479q/lgb.p',i_0_31) ).

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/sandbox2/tmp/enigma-theBenchmark.p-p8ce479q/lgb.p',i_0_16) ).

cnf(i_0_12,plain,
    ( in(X1,X2)
    | X2 != set_intersection2(X3,X4)
    | ~ in(X1,X4)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p8ce479q/lgb.p',i_0_12) ).

cnf(i_0_13,plain,
    ( in(X1,X2)
    | X3 != set_intersection2(X4,X2)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p8ce479q/lgb.p',i_0_13) ).

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/sandbox2/tmp/enigma-theBenchmark.p-p8ce479q/lgb.p',i_0_15) ).

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/sandbox2/tmp/enigma-theBenchmark.p-p8ce479q/lgb.p',i_0_17) ).

cnf(i_0_2,plain,
    set_intersection2(X1,X2) = set_intersection2(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p8ce479q/lgb.p',i_0_2) ).

cnf(i_0_19,plain,
    ( X1 != set_difference(X2,X3)
    | ~ in(X4,X1)
    | ~ in(X4,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p8ce479q/lgb.p',i_0_19) ).

cnf(c_0_42,plain,
    ( in(X1,X2)
    | X3 != set_intersection2(X2,X4)
    | ~ in(X1,X3) ),
    i_0_14 ).

cnf(c_0_43,plain,
    ( in(X1,X2)
    | in(X1,X3)
    | X2 != set_difference(X4,X3)
    | ~ in(X1,X4) ),
    i_0_18 ).

cnf(c_0_44,negated_conjecture,
    set_difference(esk6_0,set_difference(esk6_0,esk7_0)) != set_intersection2(esk6_0,esk7_0),
    i_0_31 ).

cnf(c_0_45,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_46,plain,
    ( in(X1,X2)
    | ~ in(X1,set_intersection2(X2,X3)) ),
    inference(er,[status(thm)],[c_0_42]) ).

cnf(c_0_47,plain,
    ( in(X1,X2)
    | X2 != set_intersection2(X3,X4)
    | ~ in(X1,X4)
    | ~ in(X1,X3) ),
    i_0_12 ).

cnf(c_0_48,plain,
    ( in(X1,set_difference(X2,X3))
    | in(X1,X3)
    | ~ in(X1,X2) ),
    inference(er,[status(thm)],[c_0_43]) ).

cnf(c_0_49,negated_conjecture,
    in(esk3_3(esk6_0,set_difference(esk6_0,esk7_0),set_intersection2(esk6_0,esk7_0)),esk6_0),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45])]),c_0_46]) ).

cnf(c_0_50,plain,
    ( in(X1,X2)
    | X3 != set_intersection2(X4,X2)
    | ~ in(X1,X3) ),
    i_0_13 ).

cnf(c_0_51,plain,
    ( in(X1,set_intersection2(X2,X3))
    | ~ in(X1,X3)
    | ~ in(X1,X2) ),
    inference(er,[status(thm)],[c_0_47]) ).

cnf(c_0_52,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_53,plain,
    ( in(esk3_3(esk6_0,set_difference(esk6_0,esk7_0),set_intersection2(esk6_0,esk7_0)),set_difference(esk6_0,X1))
    | in(esk3_3(esk6_0,set_difference(esk6_0,esk7_0),set_intersection2(esk6_0,esk7_0)),X1) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_54,plain,
    ( in(X1,X2)
    | ~ in(X1,set_intersection2(X3,X2)) ),
    inference(er,[status(thm)],[c_0_50]) ).

cnf(c_0_55,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_56,plain,
    ( in(esk3_3(esk6_0,set_difference(esk6_0,esk7_0),set_intersection2(esk6_0,esk7_0)),set_intersection2(X1,esk6_0))
    | ~ in(esk3_3(esk6_0,set_difference(esk6_0,esk7_0),set_intersection2(esk6_0,esk7_0)),X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_49]) ).

cnf(c_0_57,plain,
    in(esk3_3(esk6_0,set_difference(esk6_0,esk7_0),set_intersection2(esk6_0,esk7_0)),esk7_0),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_44]),c_0_54]) ).

cnf(c_0_58,plain,
    set_intersection2(X1,X2) = set_intersection2(X2,X1),
    i_0_2 ).

cnf(c_0_59,plain,
    ( X1 != set_difference(X2,X3)
    | ~ in(X4,X1)
    | ~ in(X4,X3) ),
    i_0_19 ).

cnf(c_0_60,negated_conjecture,
    ( in(esk3_3(esk6_0,set_difference(esk6_0,esk7_0),set_intersection2(esk6_0,esk7_0)),set_difference(esk6_0,esk7_0))
    | ~ in(esk3_3(esk6_0,set_difference(esk6_0,esk7_0),set_intersection2(esk6_0,esk7_0)),set_intersection2(esk6_0,esk7_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_49]),c_0_44]) ).

cnf(c_0_61,plain,
    in(esk3_3(esk6_0,set_difference(esk6_0,esk7_0),set_intersection2(esk6_0,esk7_0)),set_intersection2(esk6_0,esk7_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]) ).

cnf(c_0_62,plain,
    ( ~ in(X1,set_difference(X2,X3))
    | ~ in(X1,X3) ),
    inference(er,[status(thm)],[c_0_59]) ).

cnf(c_0_63,negated_conjecture,
    in(esk3_3(esk6_0,set_difference(esk6_0,esk7_0),set_intersection2(esk6_0,esk7_0)),set_difference(esk6_0,esk7_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_61])]) ).

cnf(c_0_64,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_57])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU138+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 19 07:30:50 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 7.91/2.37  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.91/2.37  # No SInE strategy applied
% 7.91/2.37  # Trying AutoSched0 for 150 seconds
% 7.91/2.37  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S006A
% 7.91/2.37  # and selection function SelectLargestNegLit.
% 7.91/2.37  #
% 7.91/2.37  # Preprocessing time       : 0.020 s
% 7.91/2.37  # Presaturation interreduction done
% 7.91/2.37  
% 7.91/2.37  # Proof found!
% 7.91/2.37  # SZS status Theorem
% 7.91/2.37  # SZS output start CNFRefutation
% See solution above
% 7.91/2.37  # Training examples: 0 positive, 0 negative
% 7.91/2.37  
% 7.91/2.37  # -------------------------------------------------
% 7.91/2.37  # User time                : 0.059 s
% 7.91/2.37  # System time              : 0.008 s
% 7.91/2.37  # Total time               : 0.068 s
% 7.91/2.37  # Maximum resident set size: 7124 pages
% 7.91/2.37  
%------------------------------------------------------------------------------