TSTP Solution File: SWB028+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWB028+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 18:59:11 EDT 2022

% Result   : Theorem 7.69s 2.33s
% Output   : CNFRefutation 7.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   58 (  23 unt;   7 nHn;  58 RR)
%            Number of literals    :  128 (   7 equ;  66 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   9 con; 0-4 aty)
%            Number of variables   :   75 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_17,plain,
    ( iext(uri_rdfs_subClassOf,X1,X2)
    | icext(X1,esk7_2(X1,X2))
    | ~ ic(X2)
    | ~ ic(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-76wpvkei/input.p',i_0_17) ).

cnf(i_0_1,plain,
    ic(uri_owl_InverseFunctionalProperty),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-76wpvkei/input.p',i_0_1) ).

cnf(i_0_5,plain,
    ( ic(X1)
    | ~ iext(uri_owl_equivalentClass,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-76wpvkei/input.p',i_0_5) ).

cnf(i_0_40,plain,
    iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,esk12_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-76wpvkei/input.p',i_0_40) ).

cnf(i_0_36,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-76wpvkei/input.p',i_0_36) ).

cnf(i_0_24,plain,
    ( icext(X1,X2)
    | ~ icext(X3,X2)
    | ~ iext(uri_owl_equivalentClass,X3,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-76wpvkei/input.p',i_0_24) ).

cnf(i_0_29,plain,
    ( iext(X1,X2,esk9_4(X3,X1,X4,X2))
    | ~ icext(X3,X2)
    | ~ iext(uri_owl_someValuesFrom,X3,X4)
    | ~ iext(uri_owl_onProperty,X3,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-76wpvkei/input.p',i_0_29) ).

cnf(i_0_37,plain,
    iext(uri_owl_someValuesFrom,esk12_0,uri_owl_FunctionalProperty),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-76wpvkei/input.p',i_0_37) ).

cnf(i_0_38,plain,
    iext(uri_owl_onProperty,esk12_0,uri_owl_inverseOf),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-76wpvkei/input.p',i_0_38) ).

cnf(i_0_16,plain,
    ( iext(uri_rdfs_subClassOf,X1,X2)
    | ~ ic(X1)
    | ~ ic(X2)
    | ~ icext(X2,esk7_2(X1,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-76wpvkei/input.p',i_0_16) ).

cnf(i_0_28,plain,
    ( icext(X1,esk9_4(X2,X3,X1,X4))
    | ~ icext(X2,X4)
    | ~ iext(uri_owl_someValuesFrom,X2,X1)
    | ~ iext(uri_owl_onProperty,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-76wpvkei/input.p',i_0_28) ).

cnf(i_0_3,plain,
    ( ip(X1)
    | ~ iext(uri_owl_inverseOf,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-76wpvkei/input.p',i_0_3) ).

cnf(i_0_12,plain,
    ( icext(uri_owl_InverseFunctionalProperty,X1)
    | iext(X1,esk5_1(X1),esk6_1(X1))
    | ~ ip(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-76wpvkei/input.p',i_0_12) ).

cnf(i_0_33,plain,
    ( iext(X1,X2,X3)
    | ~ iext(X4,X3,X2)
    | ~ iext(uri_owl_inverseOf,X4,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-76wpvkei/input.p',i_0_33) ).

cnf(i_0_13,plain,
    ( icext(uri_owl_InverseFunctionalProperty,X1)
    | iext(X1,esk4_1(X1),esk6_1(X1))
    | ~ ip(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-76wpvkei/input.p',i_0_13) ).

cnf(i_0_9,plain,
    ( X1 = X2
    | ~ icext(uri_owl_FunctionalProperty,X3)
    | ~ iext(X3,X4,X2)
    | ~ iext(X3,X4,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-76wpvkei/input.p',i_0_9) ).

cnf(i_0_11,plain,
    ( icext(uri_owl_InverseFunctionalProperty,X1)
    | esk5_1(X1) != esk4_1(X1)
    | ~ ip(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-76wpvkei/input.p',i_0_11) ).

cnf(c_0_58,plain,
    ( iext(uri_rdfs_subClassOf,X1,X2)
    | icext(X1,esk7_2(X1,X2))
    | ~ ic(X2)
    | ~ ic(X1) ),
    i_0_17 ).

cnf(c_0_59,plain,
    ic(uri_owl_InverseFunctionalProperty),
    i_0_1 ).

cnf(c_0_60,plain,
    ( ic(X1)
    | ~ iext(uri_owl_equivalentClass,X1,X2) ),
    i_0_5 ).

cnf(c_0_61,plain,
    iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,esk12_0),
    i_0_40 ).

cnf(c_0_62,plain,
    ( icext(X1,esk7_2(X1,uri_owl_InverseFunctionalProperty))
    | iext(uri_rdfs_subClassOf,X1,uri_owl_InverseFunctionalProperty)
    | ~ ic(X1) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_63,plain,
    ic(uri_ex_InversesOfFunctionalProperties),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_64,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
    i_0_36 ).

cnf(c_0_65,plain,
    ( icext(X1,X2)
    | ~ icext(X3,X2)
    | ~ iext(uri_owl_equivalentClass,X3,X1) ),
    i_0_24 ).

cnf(c_0_66,plain,
    icext(uri_ex_InversesOfFunctionalProperties,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).

cnf(c_0_67,plain,
    ( icext(X1,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
    | ~ iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,X1) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_68,plain,
    ( iext(X1,X2,esk9_4(X3,X1,X4,X2))
    | ~ icext(X3,X2)
    | ~ iext(uri_owl_someValuesFrom,X3,X4)
    | ~ iext(uri_owl_onProperty,X3,X1) ),
    i_0_29 ).

cnf(c_0_69,plain,
    icext(esk12_0,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
    inference(spm,[status(thm)],[c_0_67,c_0_61]) ).

cnf(c_0_70,plain,
    ( iext(X1,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),esk9_4(esk12_0,X1,X2,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)))
    | ~ iext(uri_owl_someValuesFrom,esk12_0,X2)
    | ~ iext(uri_owl_onProperty,esk12_0,X1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_71,plain,
    iext(uri_owl_someValuesFrom,esk12_0,uri_owl_FunctionalProperty),
    i_0_37 ).

cnf(c_0_72,plain,
    ( iext(X1,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),esk9_4(esk12_0,X1,uri_owl_FunctionalProperty,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)))
    | ~ iext(uri_owl_onProperty,esk12_0,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_73,plain,
    iext(uri_owl_onProperty,esk12_0,uri_owl_inverseOf),
    i_0_38 ).

cnf(c_0_74,plain,
    ( iext(uri_rdfs_subClassOf,X1,X2)
    | ~ ic(X1)
    | ~ ic(X2)
    | ~ icext(X2,esk7_2(X1,X2)) ),
    i_0_16 ).

cnf(c_0_75,plain,
    ( icext(X1,esk9_4(X2,X3,X1,X4))
    | ~ icext(X2,X4)
    | ~ iext(uri_owl_someValuesFrom,X2,X1)
    | ~ iext(uri_owl_onProperty,X2,X3) ),
    i_0_28 ).

cnf(c_0_76,plain,
    ( ip(X1)
    | ~ iext(uri_owl_inverseOf,X1,X2) ),
    i_0_3 ).

cnf(c_0_77,plain,
    iext(uri_owl_inverseOf,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),esk9_4(esk12_0,uri_owl_inverseOf,uri_owl_FunctionalProperty,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_78,plain,
    ( iext(uri_rdfs_subClassOf,X1,uri_owl_InverseFunctionalProperty)
    | ~ icext(uri_owl_InverseFunctionalProperty,esk7_2(X1,uri_owl_InverseFunctionalProperty))
    | ~ ic(X1) ),
    inference(spm,[status(thm)],[c_0_74,c_0_59]) ).

cnf(c_0_79,plain,
    ( icext(X1,esk9_4(esk12_0,X2,X1,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)))
    | ~ iext(uri_owl_someValuesFrom,esk12_0,X1)
    | ~ iext(uri_owl_onProperty,esk12_0,X2) ),
    inference(spm,[status(thm)],[c_0_75,c_0_69]) ).

cnf(c_0_80,plain,
    ( icext(uri_owl_InverseFunctionalProperty,X1)
    | iext(X1,esk5_1(X1),esk6_1(X1))
    | ~ ip(X1) ),
    i_0_12 ).

cnf(c_0_81,plain,
    ip(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_82,plain,
    ~ icext(uri_owl_InverseFunctionalProperty,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_63]),c_0_64]) ).

cnf(c_0_83,plain,
    ( icext(uri_owl_FunctionalProperty,esk9_4(esk12_0,X1,uri_owl_FunctionalProperty,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)))
    | ~ iext(uri_owl_onProperty,esk12_0,X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_71]) ).

cnf(c_0_84,plain,
    ( iext(X1,X2,X3)
    | ~ iext(X4,X3,X2)
    | ~ iext(uri_owl_inverseOf,X4,X1) ),
    i_0_33 ).

cnf(c_0_85,plain,
    iext(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),esk5_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),esk6_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).

cnf(c_0_86,plain,
    ( icext(uri_owl_InverseFunctionalProperty,X1)
    | iext(X1,esk4_1(X1),esk6_1(X1))
    | ~ ip(X1) ),
    i_0_13 ).

cnf(c_0_87,plain,
    ( X1 = X2
    | ~ icext(uri_owl_FunctionalProperty,X3)
    | ~ iext(X3,X4,X2)
    | ~ iext(X3,X4,X1) ),
    i_0_9 ).

cnf(c_0_88,plain,
    icext(uri_owl_FunctionalProperty,esk9_4(esk12_0,uri_owl_inverseOf,uri_owl_FunctionalProperty,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
    inference(spm,[status(thm)],[c_0_83,c_0_73]) ).

cnf(c_0_89,plain,
    ( iext(X1,esk6_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),esk5_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)))
    | ~ iext(uri_owl_inverseOf,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),X1) ),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_90,plain,
    iext(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),esk4_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),esk6_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_81]),c_0_82]) ).

cnf(c_0_91,plain,
    ( X1 = X2
    | ~ iext(esk9_4(esk12_0,uri_owl_inverseOf,uri_owl_FunctionalProperty,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),X3,X2)
    | ~ iext(esk9_4(esk12_0,uri_owl_inverseOf,uri_owl_FunctionalProperty,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),X3,X1) ),
    inference(spm,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_92,plain,
    iext(esk9_4(esk12_0,uri_owl_inverseOf,uri_owl_FunctionalProperty,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),esk6_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),esk5_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
    inference(spm,[status(thm)],[c_0_89,c_0_77]) ).

cnf(c_0_93,plain,
    ( iext(X1,esk6_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),esk4_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)))
    | ~ iext(uri_owl_inverseOf,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),X1) ),
    inference(spm,[status(thm)],[c_0_84,c_0_90]) ).

cnf(c_0_94,plain,
    ( X1 = esk5_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
    | ~ iext(esk9_4(esk12_0,uri_owl_inverseOf,uri_owl_FunctionalProperty,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),esk6_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),X1) ),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_95,plain,
    iext(esk9_4(esk12_0,uri_owl_inverseOf,uri_owl_FunctionalProperty,esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),esk6_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),esk4_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
    inference(spm,[status(thm)],[c_0_93,c_0_77]) ).

cnf(c_0_96,plain,
    ( icext(uri_owl_InverseFunctionalProperty,X1)
    | esk5_1(X1) != esk4_1(X1)
    | ~ ip(X1) ),
    i_0_11 ).

cnf(c_0_97,plain,
    esk4_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) = esk5_1(esk7_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_98,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_81])]),c_0_82]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWB028+2 : TPTP v8.1.0. Released v5.2.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n028.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Wed Jun  1 03:07:38 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 7.69/2.33  # ENIGMATIC: Solved by autoschedule:
% 7.69/2.33  # No SInE strategy applied
% 7.69/2.33  # Trying AutoSched0 for 150 seconds
% 7.69/2.33  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S053I
% 7.69/2.33  # and selection function HSelectMinInfpos.
% 7.69/2.33  #
% 7.69/2.33  # Preprocessing time       : 0.012 s
% 7.69/2.33  # Presaturation interreduction done
% 7.69/2.33  
% 7.69/2.33  # Proof found!
% 7.69/2.33  # SZS status Theorem
% 7.69/2.33  # SZS output start CNFRefutation
% See solution above
% 7.69/2.33  # Training examples: 0 positive, 0 negative
% 7.69/2.33  
% 7.69/2.33  # -------------------------------------------------
% 7.69/2.33  # User time                : 0.019 s
% 7.69/2.33  # System time              : 0.005 s
% 7.69/2.33  # Total time               : 0.024 s
% 7.69/2.33  # Maximum resident set size: 7120 pages
% 7.69/2.33  
%------------------------------------------------------------------------------