TSTP Solution File: SEU362+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU362+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 08:41:31 EDT 2022

% Result   : Theorem 7.83s 2.40s
% Output   : CNFRefutation 7.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   52 (  32 unt;   2 nHn;  52 RR)
%            Number of literals    :   98 (   4 equ;  52 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   45 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_6,plain,
    ( subset(the_InternalRel(X1),the_InternalRel(X2))
    | ~ rel_str(X2)
    | ~ rel_str(X1)
    | ~ subrelstr(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9irev0x6/lgb.p',i_0_6) ).

cnf(i_0_18,plain,
    ( rel_str(X1)
    | ~ rel_str(X2)
    | ~ subrelstr(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9irev0x6/lgb.p',i_0_18) ).

cnf(i_0_57,negated_conjecture,
    subrelstr(esk13_0,esk12_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9irev0x6/lgb.p',i_0_57) ).

cnf(i_0_58,negated_conjecture,
    rel_str(esk12_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9irev0x6/lgb.p',i_0_58) ).

cnf(i_0_45,plain,
    ( element(X1,powerset(X2))
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9irev0x6/lgb.p',i_0_45) ).

cnf(i_0_50,negated_conjecture,
    related(esk13_0,esk16_0,esk17_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9irev0x6/lgb.p',i_0_50) ).

cnf(i_0_52,negated_conjecture,
    esk16_0 = esk14_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9irev0x6/lgb.p',i_0_52) ).

cnf(i_0_54,negated_conjecture,
    element(esk16_0,the_carrier(esk13_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9irev0x6/lgb.p',i_0_54) ).

cnf(i_0_55,negated_conjecture,
    element(esk15_0,the_carrier(esk12_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9irev0x6/lgb.p',i_0_55) ).

cnf(i_0_51,negated_conjecture,
    esk15_0 = esk17_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9irev0x6/lgb.p',i_0_51) ).

cnf(i_0_47,plain,
    ( element(X1,X2)
    | ~ in(X1,X3)
    | ~ element(X3,powerset(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9irev0x6/lgb.p',i_0_47) ).

cnf(i_0_9,plain,
    ( in(ordered_pair(X1,X2),the_InternalRel(X3))
    | ~ rel_str(X3)
    | ~ related(X3,X1,X2)
    | ~ element(X2,the_carrier(X3))
    | ~ element(X1,the_carrier(X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9irev0x6/lgb.p',i_0_9) ).

cnf(i_0_53,negated_conjecture,
    element(esk17_0,the_carrier(esk13_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9irev0x6/lgb.p',i_0_53) ).

cnf(i_0_48,plain,
    ( ~ empty(X1)
    | ~ in(X2,X3)
    | ~ element(X3,powerset(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9irev0x6/lgb.p',i_0_48) ).

cnf(i_0_8,plain,
    ( related(X1,X2,X3)
    | ~ rel_str(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1))
    | ~ in(ordered_pair(X2,X3),the_InternalRel(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9irev0x6/lgb.p',i_0_8) ).

cnf(i_0_49,negated_conjecture,
    ~ related(esk12_0,esk14_0,esk15_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9irev0x6/lgb.p',i_0_49) ).

cnf(i_0_56,negated_conjecture,
    element(esk14_0,the_carrier(esk12_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9irev0x6/lgb.p',i_0_56) ).

cnf(i_0_44,plain,
    ( empty(X1)
    | in(X2,X1)
    | ~ element(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9irev0x6/lgb.p',i_0_44) ).

cnf(c_0_77,plain,
    ( subset(the_InternalRel(X1),the_InternalRel(X2))
    | ~ rel_str(X2)
    | ~ rel_str(X1)
    | ~ subrelstr(X1,X2) ),
    i_0_6 ).

cnf(c_0_78,plain,
    ( rel_str(X1)
    | ~ rel_str(X2)
    | ~ subrelstr(X1,X2) ),
    i_0_18 ).

cnf(c_0_79,plain,
    ( subset(the_InternalRel(X1),the_InternalRel(X2))
    | ~ rel_str(X2)
    | ~ subrelstr(X1,X2) ),
    inference(csr,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_80,negated_conjecture,
    subrelstr(esk13_0,esk12_0),
    i_0_57 ).

cnf(c_0_81,negated_conjecture,
    rel_str(esk12_0),
    i_0_58 ).

cnf(c_0_82,plain,
    ( element(X1,powerset(X2))
    | ~ subset(X1,X2) ),
    i_0_45 ).

cnf(c_0_83,negated_conjecture,
    subset(the_InternalRel(esk13_0),the_InternalRel(esk12_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81])]) ).

cnf(c_0_84,negated_conjecture,
    related(esk13_0,esk16_0,esk17_0),
    i_0_50 ).

cnf(c_0_85,negated_conjecture,
    esk16_0 = esk14_0,
    i_0_52 ).

cnf(c_0_86,negated_conjecture,
    element(esk16_0,the_carrier(esk13_0)),
    i_0_54 ).

cnf(c_0_87,negated_conjecture,
    element(esk15_0,the_carrier(esk12_0)),
    i_0_55 ).

cnf(c_0_88,negated_conjecture,
    esk15_0 = esk17_0,
    i_0_51 ).

cnf(c_0_89,plain,
    ( element(X1,X2)
    | ~ in(X1,X3)
    | ~ element(X3,powerset(X2)) ),
    i_0_47 ).

cnf(c_0_90,plain,
    element(the_InternalRel(esk13_0),powerset(the_InternalRel(esk12_0))),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_91,plain,
    ( in(ordered_pair(X1,X2),the_InternalRel(X3))
    | ~ rel_str(X3)
    | ~ related(X3,X1,X2)
    | ~ element(X2,the_carrier(X3))
    | ~ element(X1,the_carrier(X3)) ),
    i_0_9 ).

cnf(c_0_92,negated_conjecture,
    related(esk13_0,esk14_0,esk17_0),
    inference(rw,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_93,negated_conjecture,
    rel_str(esk13_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_80]),c_0_81])]) ).

cnf(c_0_94,negated_conjecture,
    element(esk17_0,the_carrier(esk13_0)),
    i_0_53 ).

cnf(c_0_95,negated_conjecture,
    element(esk14_0,the_carrier(esk13_0)),
    inference(rw,[status(thm)],[c_0_86,c_0_85]) ).

cnf(c_0_96,plain,
    ( ~ empty(X1)
    | ~ in(X2,X3)
    | ~ element(X3,powerset(X1)) ),
    i_0_48 ).

cnf(c_0_97,plain,
    ( related(X1,X2,X3)
    | ~ rel_str(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1))
    | ~ in(ordered_pair(X2,X3),the_InternalRel(X1)) ),
    i_0_8 ).

cnf(c_0_98,negated_conjecture,
    element(esk17_0,the_carrier(esk12_0)),
    inference(rw,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_99,negated_conjecture,
    ~ related(esk12_0,esk14_0,esk15_0),
    i_0_49 ).

cnf(c_0_100,plain,
    ( element(X1,the_InternalRel(esk12_0))
    | ~ in(X1,the_InternalRel(esk13_0)) ),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_101,negated_conjecture,
    in(ordered_pair(esk14_0,esk17_0),the_InternalRel(esk13_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]),c_0_94]),c_0_95])]) ).

cnf(c_0_102,plain,
    ( ~ empty(the_InternalRel(esk12_0))
    | ~ in(X1,the_InternalRel(esk13_0)) ),
    inference(spm,[status(thm)],[c_0_96,c_0_90]) ).

cnf(c_0_103,negated_conjecture,
    ( related(esk12_0,X1,esk17_0)
    | ~ in(ordered_pair(X1,esk17_0),the_InternalRel(esk12_0))
    | ~ element(X1,the_carrier(esk12_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_81])]) ).

cnf(c_0_104,negated_conjecture,
    element(esk14_0,the_carrier(esk12_0)),
    i_0_56 ).

cnf(c_0_105,negated_conjecture,
    ~ related(esk12_0,esk14_0,esk17_0),
    inference(rw,[status(thm)],[c_0_99,c_0_88]) ).

cnf(c_0_106,plain,
    ( empty(X1)
    | in(X2,X1)
    | ~ element(X2,X1) ),
    i_0_44 ).

cnf(c_0_107,negated_conjecture,
    element(ordered_pair(esk14_0,esk17_0),the_InternalRel(esk12_0)),
    inference(spm,[status(thm)],[c_0_100,c_0_101]) ).

cnf(c_0_108,plain,
    ~ empty(the_InternalRel(esk12_0)),
    inference(spm,[status(thm)],[c_0_102,c_0_101]) ).

cnf(c_0_109,negated_conjecture,
    ~ in(ordered_pair(esk14_0,esk17_0),the_InternalRel(esk12_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]) ).

cnf(c_0_110,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]),c_0_109]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU362+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 : n014.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 : Sun Jun 19 00:32:20 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 7.83/2.40  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.83/2.40  # No SInE strategy applied
% 7.83/2.40  # Trying AutoSched0 for 150 seconds
% 7.83/2.40  # AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S2q
% 7.83/2.40  # and selection function SelectCQArNTNp.
% 7.83/2.40  #
% 7.83/2.40  # Preprocessing time       : 0.023 s
% 7.83/2.40  # Presaturation interreduction done
% 7.83/2.40  
% 7.83/2.40  # Proof found!
% 7.83/2.40  # SZS status Theorem
% 7.83/2.40  # SZS output start CNFRefutation
% See solution above
% 7.83/2.40  # Training examples: 0 positive, 0 negative
% 7.83/2.40  
% 7.83/2.40  # -------------------------------------------------
% 7.83/2.40  # User time                : 0.035 s
% 7.83/2.40  # System time              : 0.011 s
% 7.83/2.40  # Total time               : 0.046 s
% 7.83/2.40  # Maximum resident set size: 7128 pages
% 7.83/2.40  
%------------------------------------------------------------------------------