↑ Up

Enigma---0.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET944+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n004.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 00:15:26 EDT 2022

% Result   : Theorem 7.52s 2.40s
% Output   : CNFRefutation 7.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   36 (  11 unt;   2 nHn;  34 RR)
%            Number of literals    :   79 (  12 equ;  43 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; 0-3 aty)
%            Number of variables   :   71 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_16,plain,
    ( in(esk3_3(X1,X2,X3),X1)
    | X2 != union(X1)
    | ~ in(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-52ycxrsu/lgb.p',i_0_16) ).

cnf(i_0_22,negated_conjecture,
    ~ subset(union(set_intersection2(esk8_0,esk9_0)),set_intersection2(union(esk8_0),union(esk9_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-52ycxrsu/lgb.p',i_0_22) ).

cnf(i_0_4,plain,
    ( subset(X1,X2)
    | in(esk1_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-52ycxrsu/lgb.p',i_0_4) ).

cnf(i_0_10,plain,
    ( in(X1,X2)
    | X3 != set_intersection2(X4,X2)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-52ycxrsu/lgb.p',i_0_10) ).

cnf(i_0_15,plain,
    ( in(X1,X2)
    | X2 != union(X3)
    | ~ in(X4,X3)
    | ~ in(X1,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-52ycxrsu/lgb.p',i_0_15) ).

cnf(i_0_17,plain,
    ( in(X1,esk3_3(X2,X3,X1))
    | X3 != union(X2)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-52ycxrsu/lgb.p',i_0_17) ).

cnf(i_0_11,plain,
    ( in(X1,X2)
    | X3 != set_intersection2(X2,X4)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-52ycxrsu/lgb.p',i_0_11) ).

cnf(i_0_9,plain,
    ( in(X1,X2)
    | X2 != set_intersection2(X3,X4)
    | ~ in(X1,X4)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-52ycxrsu/lgb.p',i_0_9) ).

cnf(i_0_3,plain,
    ( subset(X1,X2)
    | ~ in(esk1_2(X1,X2),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-52ycxrsu/lgb.p',i_0_3) ).

cnf(c_0_32,plain,
    ( in(esk3_3(X1,X2,X3),X1)
    | X2 != union(X1)
    | ~ in(X3,X2) ),
    i_0_16 ).

cnf(c_0_33,negated_conjecture,
    ~ subset(union(set_intersection2(esk8_0,esk9_0)),set_intersection2(union(esk8_0),union(esk9_0))),
    i_0_22 ).

cnf(c_0_34,plain,
    ( subset(X1,X2)
    | in(esk1_2(X1,X2),X1) ),
    i_0_4 ).

cnf(c_0_35,plain,
    ( in(X1,X2)
    | X3 != set_intersection2(X4,X2)
    | ~ in(X1,X3) ),
    i_0_10 ).

cnf(c_0_36,plain,
    ( in(esk3_3(X1,union(X1),X2),X1)
    | ~ in(X2,union(X1)) ),
    inference(er,[status(thm)],[c_0_32]) ).

cnf(c_0_37,negated_conjecture,
    in(esk1_2(union(set_intersection2(esk8_0,esk9_0)),set_intersection2(union(esk8_0),union(esk9_0))),union(set_intersection2(esk8_0,esk9_0))),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_38,plain,
    ( in(X1,X2)
    | X2 != union(X3)
    | ~ in(X4,X3)
    | ~ in(X1,X4) ),
    i_0_15 ).

cnf(c_0_39,plain,
    ( in(X1,X2)
    | ~ in(X1,set_intersection2(X3,X2)) ),
    inference(er,[status(thm)],[c_0_35]) ).

cnf(c_0_40,negated_conjecture,
    in(esk3_3(set_intersection2(esk8_0,esk9_0),union(set_intersection2(esk8_0,esk9_0)),esk1_2(union(set_intersection2(esk8_0,esk9_0)),set_intersection2(union(esk8_0),union(esk9_0)))),set_intersection2(esk8_0,esk9_0)),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_41,plain,
    ( in(X1,esk3_3(X2,X3,X1))
    | X3 != union(X2)
    | ~ in(X1,X3) ),
    i_0_17 ).

cnf(c_0_42,plain,
    ( in(X1,X2)
    | X3 != set_intersection2(X2,X4)
    | ~ in(X1,X3) ),
    i_0_11 ).

cnf(c_0_43,plain,
    ( in(X1,union(X2))
    | ~ in(X3,X2)
    | ~ in(X1,X3) ),
    inference(er,[status(thm)],[c_0_38]) ).

cnf(c_0_44,plain,
    in(esk3_3(set_intersection2(esk8_0,esk9_0),union(set_intersection2(esk8_0,esk9_0)),esk1_2(union(set_intersection2(esk8_0,esk9_0)),set_intersection2(union(esk8_0),union(esk9_0)))),esk9_0),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_45,plain,
    ( in(X1,esk3_3(X2,union(X2),X1))
    | ~ in(X1,union(X2)) ),
    inference(er,[status(thm)],[c_0_41]) ).

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_9 ).

cnf(c_0_48,plain,
    ( in(X1,union(esk9_0))
    | ~ in(X1,esk3_3(set_intersection2(esk8_0,esk9_0),union(set_intersection2(esk8_0,esk9_0)),esk1_2(union(set_intersection2(esk8_0,esk9_0)),set_intersection2(union(esk8_0),union(esk9_0))))) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_49,negated_conjecture,
    in(esk1_2(union(set_intersection2(esk8_0,esk9_0)),set_intersection2(union(esk8_0),union(esk9_0))),esk3_3(set_intersection2(esk8_0,esk9_0),union(set_intersection2(esk8_0,esk9_0)),esk1_2(union(set_intersection2(esk8_0,esk9_0)),set_intersection2(union(esk8_0),union(esk9_0))))),
    inference(spm,[status(thm)],[c_0_45,c_0_37]) ).

cnf(c_0_50,plain,
    in(esk3_3(set_intersection2(esk8_0,esk9_0),union(set_intersection2(esk8_0,esk9_0)),esk1_2(union(set_intersection2(esk8_0,esk9_0)),set_intersection2(union(esk8_0),union(esk9_0)))),esk8_0),
    inference(spm,[status(thm)],[c_0_46,c_0_40]) ).

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,
    in(esk1_2(union(set_intersection2(esk8_0,esk9_0)),set_intersection2(union(esk8_0),union(esk9_0))),union(esk9_0)),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_53,plain,
    ( in(X1,union(esk8_0))
    | ~ in(X1,esk3_3(set_intersection2(esk8_0,esk9_0),union(set_intersection2(esk8_0,esk9_0)),esk1_2(union(set_intersection2(esk8_0,esk9_0)),set_intersection2(union(esk8_0),union(esk9_0))))) ),
    inference(spm,[status(thm)],[c_0_43,c_0_50]) ).

cnf(c_0_54,plain,
    ( in(esk1_2(union(set_intersection2(esk8_0,esk9_0)),set_intersection2(union(esk8_0),union(esk9_0))),set_intersection2(X1,union(esk9_0)))
    | ~ in(esk1_2(union(set_intersection2(esk8_0,esk9_0)),set_intersection2(union(esk8_0),union(esk9_0))),X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_55,plain,
    in(esk1_2(union(set_intersection2(esk8_0,esk9_0)),set_intersection2(union(esk8_0),union(esk9_0))),union(esk8_0)),
    inference(spm,[status(thm)],[c_0_53,c_0_49]) ).

cnf(c_0_56,plain,
    ( subset(X1,X2)
    | ~ in(esk1_2(X1,X2),X2) ),
    i_0_3 ).

cnf(c_0_57,plain,
    in(esk1_2(union(set_intersection2(esk8_0,esk9_0)),set_intersection2(union(esk8_0),union(esk9_0))),set_intersection2(union(esk8_0),union(esk9_0))),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_58,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_33]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SET944+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n004.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 Jul 10 04:21:24 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 7.52/2.40  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.52/2.40  # No SInE strategy applied
% 7.52/2.40  # Trying AutoSched0 for 150 seconds
% 7.52/2.40  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S008A
% 7.52/2.40  # and selection function SelectSmallestNegLit.
% 7.52/2.40  #
% 7.52/2.40  # Preprocessing time       : 0.022 s
% 7.52/2.40  # Presaturation interreduction done
% 7.52/2.40  
% 7.52/2.40  # Proof found!
% 7.52/2.40  # SZS status Theorem
% 7.52/2.40  # SZS output start CNFRefutation
% See solution above
% 7.52/2.40  # Training examples: 0 positive, 0 negative
% 7.52/2.40  
% 7.52/2.40  # -------------------------------------------------
% 7.52/2.40  # User time                : 0.082 s
% 7.52/2.40  # System time              : 0.010 s
% 7.52/2.40  # Total time               : 0.091 s
% 7.52/2.40  # Maximum resident set size: 7128 pages
% 7.52/2.40  
%------------------------------------------------------------------------------