TSTP Solution File: SWB022+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWB022+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n026.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 18:58:55 EDT 2022

% Result   : Theorem 7.56s 2.28s
% Output   : CNFRefutation 7.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   20
% Syntax   : Number of clauses     :   61 (  37 unt;   0 nHn;  61 RR)
%            Number of literals    :  131 (   0 equ;  75 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   19 (  19 usr;  19 con; 0-0 aty)
%            Number of variables   :   81 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
    ( iext(X1,X2,X3)
    | ~ iext(X4,X5,X3)
    | ~ iext(X6,X2,X5)
    | ~ iext(uri_rdf_first,X7,X4)
    | ~ iext(uri_rdf_first,X8,X6)
    | ~ iext(uri_rdf_rest,X8,X7)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X8)
    | ~ iext(uri_rdf_rest,X7,uri_rdf_nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-50gfwhg5/input.p',i_0_7) ).

cnf(i_0_25,plain,
    iext(uri_rdf_rest,esk6_0,uri_rdf_nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-50gfwhg5/input.p',i_0_25) ).

cnf(i_0_26,plain,
    iext(uri_rdf_first,esk6_0,uri_rdf_first),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-50gfwhg5/input.p',i_0_26) ).

cnf(i_0_27,plain,
    iext(uri_rdf_rest,esk5_0,esk6_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-50gfwhg5/input.p',i_0_27) ).

cnf(i_0_20,plain,
    iext(uri_rdf_rest,esk8_0,uri_rdf_nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-50gfwhg5/input.p',i_0_20) ).

cnf(i_0_28,plain,
    iext(uri_rdf_first,esk5_0,esk4_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-50gfwhg5/input.p',i_0_28) ).

cnf(i_0_21,plain,
    iext(uri_rdf_first,esk8_0,uri_rdf_rest),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-50gfwhg5/input.p',i_0_21) ).

cnf(i_0_29,plain,
    iext(uri_owl_propertyChainAxiom,uri_skos_member,esk5_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-50gfwhg5/input.p',i_0_29) ).

cnf(i_0_1,plain,
    ( iext(X1,X2,X3)
    | ~ iext(X4,X2,X3)
    | ~ iext(uri_rdfs_subPropertyOf,X4,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-50gfwhg5/input.p',i_0_1) ).

cnf(i_0_30,plain,
    iext(uri_rdfs_subPropertyOf,uri_skos_memberList,esk4_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-50gfwhg5/input.p',i_0_30) ).

cnf(i_0_22,plain,
    iext(uri_rdf_rest,esk7_0,esk8_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-50gfwhg5/input.p',i_0_22) ).

cnf(i_0_17,plain,
    iext(uri_rdf_first,esk9_0,uri_ex_X),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-50gfwhg5/input.p',i_0_17) ).

cnf(i_0_18,plain,
    iext(uri_skos_memberList,uri_ex_MyOrderedCollection,esk9_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-50gfwhg5/input.p',i_0_18) ).

cnf(i_0_23,plain,
    iext(uri_rdf_first,esk7_0,esk4_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-50gfwhg5/input.p',i_0_23) ).

cnf(i_0_11,negated_conjecture,
    ( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
    | ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
    | ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-50gfwhg5/input.p',i_0_11) ).

cnf(i_0_15,plain,
    iext(uri_rdf_first,esk10_0,uri_ex_Y),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-50gfwhg5/input.p',i_0_15) ).

cnf(i_0_24,plain,
    iext(uri_owl_propertyChainAxiom,esk4_0,esk7_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-50gfwhg5/input.p',i_0_24) ).

cnf(i_0_13,plain,
    iext(uri_rdf_first,esk11_0,uri_ex_Z),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-50gfwhg5/input.p',i_0_13) ).

cnf(i_0_14,plain,
    iext(uri_rdf_rest,esk10_0,esk11_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-50gfwhg5/input.p',i_0_14) ).

cnf(i_0_16,plain,
    iext(uri_rdf_rest,esk9_0,esk10_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-50gfwhg5/input.p',i_0_16) ).

cnf(c_0_51,plain,
    ( iext(X1,X2,X3)
    | ~ iext(X4,X5,X3)
    | ~ iext(X6,X2,X5)
    | ~ iext(uri_rdf_first,X7,X4)
    | ~ iext(uri_rdf_first,X8,X6)
    | ~ iext(uri_rdf_rest,X8,X7)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X8)
    | ~ iext(uri_rdf_rest,X7,uri_rdf_nil) ),
    i_0_7 ).

cnf(c_0_52,plain,
    iext(uri_rdf_rest,esk6_0,uri_rdf_nil),
    i_0_25 ).

cnf(c_0_53,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_rdf_first,esk6_0,X4)
    | ~ iext(uri_rdf_rest,X5,esk6_0)
    | ~ iext(uri_rdf_first,X5,X6)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X5)
    | ~ iext(X6,X2,X7)
    | ~ iext(X4,X7,X3) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_54,plain,
    iext(uri_rdf_first,esk6_0,uri_rdf_first),
    i_0_26 ).

cnf(c_0_55,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_rdf_rest,X4,esk6_0)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X4)
    | ~ iext(uri_rdf_first,X6,X3)
    | ~ iext(X5,X2,X6) ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_56,plain,
    iext(uri_rdf_rest,esk5_0,esk6_0),
    i_0_27 ).

cnf(c_0_57,plain,
    iext(uri_rdf_rest,esk8_0,uri_rdf_nil),
    i_0_20 ).

cnf(c_0_58,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_rdf_first,esk5_0,X4)
    | ~ iext(uri_owl_propertyChainAxiom,X1,esk5_0)
    | ~ iext(uri_rdf_first,X5,X3)
    | ~ iext(X4,X2,X5) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_59,plain,
    iext(uri_rdf_first,esk5_0,esk4_0),
    i_0_28 ).

cnf(c_0_60,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_rdf_first,esk8_0,X4)
    | ~ iext(uri_rdf_rest,X5,esk8_0)
    | ~ iext(uri_rdf_first,X5,X6)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X5)
    | ~ iext(X6,X2,X7)
    | ~ iext(X4,X7,X3) ),
    inference(spm,[status(thm)],[c_0_51,c_0_57]) ).

cnf(c_0_61,plain,
    iext(uri_rdf_first,esk8_0,uri_rdf_rest),
    i_0_21 ).

cnf(c_0_62,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_owl_propertyChainAxiom,X1,esk5_0)
    | ~ iext(uri_rdf_first,X4,X3)
    | ~ iext(esk4_0,X2,X4) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_63,plain,
    iext(uri_owl_propertyChainAxiom,uri_skos_member,esk5_0),
    i_0_29 ).

cnf(c_0_64,plain,
    ( iext(X1,X2,X3)
    | ~ iext(X4,X2,X3)
    | ~ iext(uri_rdfs_subPropertyOf,X4,X1) ),
    i_0_1 ).

cnf(c_0_65,plain,
    iext(uri_rdfs_subPropertyOf,uri_skos_memberList,esk4_0),
    i_0_30 ).

cnf(c_0_66,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_rdf_rest,X4,esk8_0)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X4)
    | ~ iext(uri_rdf_rest,X6,X3)
    | ~ iext(X5,X2,X6) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_67,plain,
    iext(uri_rdf_rest,esk7_0,esk8_0),
    i_0_22 ).

cnf(c_0_68,plain,
    ( iext(uri_skos_member,X1,X2)
    | ~ iext(uri_rdf_first,X3,X2)
    | ~ iext(esk4_0,X1,X3) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_69,plain,
    iext(uri_rdf_first,esk9_0,uri_ex_X),
    i_0_17 ).

cnf(c_0_70,plain,
    ( iext(esk4_0,X1,X2)
    | ~ iext(uri_skos_memberList,X1,X2) ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_71,plain,
    iext(uri_skos_memberList,uri_ex_MyOrderedCollection,esk9_0),
    i_0_18 ).

cnf(c_0_72,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_rdf_first,esk7_0,X4)
    | ~ iext(uri_owl_propertyChainAxiom,X1,esk7_0)
    | ~ iext(uri_rdf_rest,X5,X3)
    | ~ iext(X4,X2,X5) ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_73,plain,
    iext(uri_rdf_first,esk7_0,esk4_0),
    i_0_23 ).

cnf(c_0_74,negated_conjecture,
    ( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
    | ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
    | ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
    i_0_11 ).

cnf(c_0_75,plain,
    ( iext(uri_skos_member,X1,uri_ex_X)
    | ~ iext(esk4_0,X1,esk9_0) ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_76,plain,
    iext(esk4_0,uri_ex_MyOrderedCollection,esk9_0),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_77,plain,
    iext(uri_rdf_first,esk10_0,uri_ex_Y),
    i_0_15 ).

cnf(c_0_78,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_owl_propertyChainAxiom,X1,esk7_0)
    | ~ iext(uri_rdf_rest,X4,X3)
    | ~ iext(esk4_0,X2,X4) ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_79,plain,
    iext(uri_owl_propertyChainAxiom,esk4_0,esk7_0),
    i_0_24 ).

cnf(c_0_80,negated_conjecture,
    ( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
    | ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76])]) ).

cnf(c_0_81,plain,
    ( iext(uri_skos_member,X1,uri_ex_Y)
    | ~ iext(esk4_0,X1,esk10_0) ),
    inference(spm,[status(thm)],[c_0_68,c_0_77]) ).

cnf(c_0_82,plain,
    iext(uri_rdf_first,esk11_0,uri_ex_Z),
    i_0_13 ).

cnf(c_0_83,plain,
    ( iext(esk4_0,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X2)
    | ~ iext(esk4_0,X1,X3) ),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_84,plain,
    iext(uri_rdf_rest,esk10_0,esk11_0),
    i_0_14 ).

cnf(c_0_85,plain,
    ( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)
    | ~ iext(esk4_0,uri_ex_MyOrderedCollection,esk10_0) ),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_86,plain,
    ( iext(uri_skos_member,X1,uri_ex_Z)
    | ~ iext(esk4_0,X1,esk11_0) ),
    inference(spm,[status(thm)],[c_0_68,c_0_82]) ).

cnf(c_0_87,plain,
    ( iext(esk4_0,X1,esk11_0)
    | ~ iext(esk4_0,X1,esk10_0) ),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_88,plain,
    iext(uri_rdf_rest,esk9_0,esk10_0),
    i_0_16 ).

cnf(c_0_89,plain,
    ~ iext(esk4_0,uri_ex_MyOrderedCollection,esk10_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]) ).

cnf(c_0_90,plain,
    ( iext(esk4_0,X1,esk10_0)
    | ~ iext(esk4_0,X1,esk9_0) ),
    inference(spm,[status(thm)],[c_0_83,c_0_88]) ).

cnf(c_0_91,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_76])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWB022+2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n026.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jun  1 11:32:58 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 7.56/2.28  # ENIGMATIC: Solved by autoschedule:
% 7.56/2.28  # No SInE strategy applied
% 7.56/2.28  # Trying AutoSched0 for 150 seconds
% 7.56/2.28  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S059I
% 7.56/2.28  # and selection function SelectComplexExceptUniqMaxPosHorn.
% 7.56/2.28  #
% 7.56/2.28  # Preprocessing time       : 0.022 s
% 7.56/2.28  # Presaturation interreduction done
% 7.56/2.28  
% 7.56/2.28  # Proof found!
% 7.56/2.28  # SZS status Theorem
% 7.56/2.28  # SZS output start CNFRefutation
% See solution above
% 7.56/2.28  # Training examples: 0 positive, 0 negative
% 7.56/2.28  
% 7.56/2.28  # -------------------------------------------------
% 7.56/2.28  # User time                : 0.028 s
% 7.56/2.28  # System time              : 0.004 s
% 7.56/2.28  # Total time               : 0.032 s
% 7.56/2.28  # Maximum resident set size: 7120 pages
% 7.56/2.28  
%------------------------------------------------------------------------------