TSTP Solution File: SWB027+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWB027+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 18:59:09 EDT 2022

% Result   : Theorem 7.73s 2.34s
% Output   : CNFRefutation 7.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   41 (  17 unt;   8 nHn;  41 RR)
%            Number of literals    :   96 (   5 equ;  49 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;  12 con; 0-1 aty)
%            Number of variables   :   59 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_8,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/sandbox/tmp/enigma-theBenchmark.p-9p6caeua/lgb.p',i_0_8) ).

cnf(i_0_29,plain,
    iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,esk9_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9p6caeua/lgb.p',i_0_29) ).

cnf(i_0_28,plain,
    iext(uri_rdf_first,esk9_0,uri_ex_p),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9p6caeua/lgb.p',i_0_28) ).

cnf(i_0_26,plain,
    iext(uri_rdf_first,esk10_0,esk11_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9p6caeua/lgb.p',i_0_26) ).

cnf(i_0_25,plain,
    iext(uri_rdf_rest,esk10_0,uri_rdf_nil),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9p6caeua/lgb.p',i_0_25) ).

cnf(i_0_27,plain,
    iext(uri_rdf_rest,esk9_0,esk10_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9p6caeua/lgb.p',i_0_27) ).

cnf(i_0_21,plain,
    ( ip(X1)
    | ~ iext(uri_owl_inverseOf,X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9p6caeua/lgb.p',i_0_21) ).

cnf(i_0_24,plain,
    iext(uri_owl_inverseOf,esk11_0,uri_ex_p),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9p6caeua/lgb.p',i_0_24) ).

cnf(i_0_19,plain,
    ( iext(X1,X2,X3)
    | ~ iext(X4,X3,X2)
    | ~ iext(uri_owl_inverseOf,X1,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9p6caeua/lgb.p',i_0_19) ).

cnf(i_0_13,plain,
    ( icext(uri_owl_InverseFunctionalProperty,X1)
    | iext(X1,esk5_1(X1),esk6_1(X1))
    | ~ ip(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9p6caeua/lgb.p',i_0_13) ).

cnf(i_0_14,plain,
    ( icext(uri_owl_InverseFunctionalProperty,X1)
    | iext(X1,esk4_1(X1),esk6_1(X1))
    | ~ ip(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9p6caeua/lgb.p',i_0_14) ).

cnf(i_0_4,plain,
    ( X1 = X2
    | ~ iext(uri_owl_sameAs,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9p6caeua/lgb.p',i_0_4) ).

cnf(i_0_12,plain,
    ( icext(uri_owl_InverseFunctionalProperty,X1)
    | esk4_1(X1) != esk5_1(X1)
    | ~ ip(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9p6caeua/lgb.p',i_0_12) ).

cnf(i_0_1,plain,
    ( iext(uri_rdf_type,X1,X2)
    | ~ icext(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9p6caeua/lgb.p',i_0_1) ).

cnf(i_0_23,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9p6caeua/lgb.p',i_0_23) ).

cnf(c_0_45,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_8 ).

cnf(c_0_46,plain,
    iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,esk9_0),
    i_0_29 ).

cnf(c_0_47,plain,
    ( iext(uri_owl_sameAs,X1,X2)
    | ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
    | ~ iext(uri_rdf_rest,esk9_0,X3)
    | ~ iext(uri_rdf_first,esk9_0,X4)
    | ~ iext(uri_rdf_first,X3,X5)
    | ~ iext(X4,X1,X6)
    | ~ iext(X5,X6,X2) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_48,plain,
    iext(uri_rdf_first,esk9_0,uri_ex_p),
    i_0_28 ).

cnf(c_0_49,plain,
    ( iext(uri_owl_sameAs,X1,X2)
    | ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
    | ~ iext(uri_rdf_rest,esk9_0,X3)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_ex_p,X1,X5)
    | ~ iext(X4,X5,X2) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_50,plain,
    iext(uri_rdf_first,esk10_0,esk11_0),
    i_0_26 ).

cnf(c_0_51,plain,
    iext(uri_rdf_rest,esk10_0,uri_rdf_nil),
    i_0_25 ).

cnf(c_0_52,plain,
    iext(uri_rdf_rest,esk9_0,esk10_0),
    i_0_27 ).

cnf(c_0_53,plain,
    ( ip(X1)
    | ~ iext(uri_owl_inverseOf,X2,X1) ),
    i_0_21 ).

cnf(c_0_54,plain,
    iext(uri_owl_inverseOf,esk11_0,uri_ex_p),
    i_0_24 ).

cnf(c_0_55,plain,
    ( iext(X1,X2,X3)
    | ~ iext(X4,X3,X2)
    | ~ iext(uri_owl_inverseOf,X1,X4) ),
    i_0_19 ).

cnf(c_0_56,plain,
    ( iext(uri_owl_sameAs,X1,X2)
    | ~ iext(uri_ex_p,X1,X3)
    | ~ iext(esk11_0,X3,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_52])]) ).

cnf(c_0_57,plain,
    ( icext(uri_owl_InverseFunctionalProperty,X1)
    | iext(X1,esk5_1(X1),esk6_1(X1))
    | ~ ip(X1) ),
    i_0_13 ).

cnf(c_0_58,plain,
    ip(uri_ex_p),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_59,plain,
    ( iext(esk11_0,X1,X2)
    | ~ iext(uri_ex_p,X2,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_54]) ).

cnf(c_0_60,plain,
    ( icext(uri_owl_InverseFunctionalProperty,X1)
    | iext(X1,esk4_1(X1),esk6_1(X1))
    | ~ ip(X1) ),
    i_0_14 ).

cnf(c_0_61,plain,
    ( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | iext(uri_owl_sameAs,esk5_1(uri_ex_p),X1)
    | ~ iext(esk11_0,esk6_1(uri_ex_p),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]) ).

cnf(c_0_62,plain,
    ( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | iext(esk11_0,esk6_1(uri_ex_p),esk4_1(uri_ex_p)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_58])]) ).

cnf(c_0_63,plain,
    ( X1 = X2
    | ~ iext(uri_owl_sameAs,X1,X2) ),
    i_0_4 ).

cnf(c_0_64,plain,
    ( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | iext(uri_owl_sameAs,esk5_1(uri_ex_p),esk4_1(uri_ex_p)) ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_65,plain,
    ( icext(uri_owl_InverseFunctionalProperty,X1)
    | esk4_1(X1) != esk5_1(X1)
    | ~ ip(X1) ),
    i_0_12 ).

cnf(c_0_66,plain,
    ( esk5_1(uri_ex_p) = esk4_1(uri_ex_p)
    | icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_67,plain,
    ( iext(uri_rdf_type,X1,X2)
    | ~ icext(X2,X1) ),
    i_0_1 ).

cnf(c_0_68,plain,
    icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_58])]) ).

cnf(c_0_69,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    i_0_23 ).

cnf(c_0_70,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWB027+2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n026.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 : Wed Jun  1 13:55:43 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected complete mode:
% 7.73/2.34  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.73/2.34  # No SInE strategy applied
% 7.73/2.34  # Trying AutoSched0 for 150 seconds
% 7.73/2.34  # AutoSched0-Mode selected heuristic G_E___205_C45_F1_AE_CS_SP_PI_S0Y
% 7.73/2.34  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.73/2.34  #
% 7.73/2.34  # Preprocessing time       : 0.023 s
% 7.73/2.34  
% 7.73/2.34  # Proof found!
% 7.73/2.34  # SZS status Theorem
% 7.73/2.34  # SZS output start CNFRefutation
% See solution above
% 7.73/2.34  # Training examples: 0 positive, 0 negative
% 7.73/2.34  
% 7.73/2.34  # -------------------------------------------------
% 7.73/2.34  # User time                : 0.029 s
% 7.73/2.34  # System time              : 0.005 s
% 7.73/2.34  # Total time               : 0.035 s
% 7.73/2.34  # Maximum resident set size: 7128 pages
% 7.73/2.34  
%------------------------------------------------------------------------------