TSTP Solution File: SWB026+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWB026+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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 18:59:06 EDT 2022

% Result   : Theorem 7.15s 2.29s
% Output   : CNFRefutation 7.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   45 (  23 unt;   6 nHn;  45 RR)
%            Number of literals    :   84 (  10 equ;  35 neg)
%            Maximal clause size   :    5 (   1 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   :   38 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_5,plain,
    ( icext(X1,X2)
    | ~ iext(X3,X2,X4)
    | ~ iext(uri_rdfs_domain,X3,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z2i4k280/input.p',i_0_5) ).

cnf(i_0_6,plain,
    iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z2i4k280/input.p',i_0_6) ).

cnf(i_0_25,plain,
    iext(uri_rdfs_domain,uri_ex_p,esk5_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z2i4k280/input.p',i_0_25) ).

cnf(i_0_3,plain,
    ( iext(uri_rdf_type,X1,X2)
    | ~ icext(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z2i4k280/input.p',i_0_3) ).

cnf(i_0_2,plain,
    ( ip(X1)
    | ~ iext(uri_rdf_type,X1,uri_rdf_Property) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z2i4k280/input.p',i_0_2) ).

cnf(i_0_10,plain,
    ( X1 = X2
    | ~ icext(X3,X1)
    | ~ iext(uri_rdf_first,X4,X2)
    | ~ iext(uri_owl_oneOf,X3,X4)
    | ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z2i4k280/input.p',i_0_10) ).

cnf(i_0_22,plain,
    iext(uri_rdf_rest,esk7_0,uri_rdf_nil),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z2i4k280/input.p',i_0_22) ).

cnf(i_0_14,plain,
    ( icext(uri_owl_InverseFunctionalProperty,X1)
    | iext(X1,esk2_1(X1),esk4_1(X1))
    | ~ ip(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z2i4k280/input.p',i_0_14) ).

cnf(i_0_13,plain,
    ( icext(uri_owl_InverseFunctionalProperty,X1)
    | iext(X1,esk3_1(X1),esk4_1(X1))
    | ~ ip(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z2i4k280/input.p',i_0_13) ).

cnf(i_0_23,plain,
    iext(uri_rdf_first,esk7_0,uri_ex_w),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z2i4k280/input.p',i_0_23) ).

cnf(i_0_17,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z2i4k280/input.p',i_0_17) ).

cnf(i_0_24,plain,
    iext(uri_owl_oneOf,esk5_0,esk7_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z2i4k280/input.p',i_0_24) ).

cnf(i_0_12,plain,
    ( icext(uri_owl_InverseFunctionalProperty,X1)
    | esk3_1(X1) != esk2_1(X1)
    | ~ ip(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z2i4k280/input.p',i_0_12) ).

cnf(c_0_39,plain,
    ( icext(X1,X2)
    | ~ iext(X3,X2,X4)
    | ~ iext(uri_rdfs_domain,X3,X1) ),
    i_0_5 ).

cnf(c_0_40,plain,
    iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
    i_0_6 ).

cnf(c_0_41,plain,
    ( icext(uri_rdf_Property,X1)
    | ~ iext(uri_rdfs_domain,X1,X2) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_42,plain,
    iext(uri_rdfs_domain,uri_ex_p,esk5_0),
    i_0_25 ).

cnf(c_0_43,plain,
    ( iext(uri_rdf_type,X1,X2)
    | ~ icext(X2,X1) ),
    i_0_3 ).

cnf(c_0_44,plain,
    icext(uri_rdf_Property,uri_ex_p),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_45,plain,
    ( ip(X1)
    | ~ iext(uri_rdf_type,X1,uri_rdf_Property) ),
    i_0_2 ).

cnf(c_0_46,plain,
    iext(uri_rdf_type,uri_ex_p,uri_rdf_Property),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_47,plain,
    ( X1 = X2
    | ~ icext(X3,X1)
    | ~ iext(uri_rdf_first,X4,X2)
    | ~ iext(uri_owl_oneOf,X3,X4)
    | ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
    i_0_10 ).

cnf(c_0_48,plain,
    iext(uri_rdf_rest,esk7_0,uri_rdf_nil),
    i_0_22 ).

cnf(c_0_49,plain,
    ( icext(uri_owl_InverseFunctionalProperty,X1)
    | iext(X1,esk2_1(X1),esk4_1(X1))
    | ~ ip(X1) ),
    i_0_14 ).

cnf(c_0_50,plain,
    ip(uri_ex_p),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_51,plain,
    ( icext(uri_owl_InverseFunctionalProperty,X1)
    | iext(X1,esk3_1(X1),esk4_1(X1))
    | ~ ip(X1) ),
    i_0_13 ).

cnf(c_0_52,plain,
    ( X1 = X2
    | ~ icext(X3,X1)
    | ~ iext(uri_rdf_first,esk7_0,X2)
    | ~ iext(uri_owl_oneOf,X3,esk7_0) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_53,plain,
    iext(uri_rdf_first,esk7_0,uri_ex_w),
    i_0_23 ).

cnf(c_0_54,plain,
    ( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | iext(uri_ex_p,esk2_1(uri_ex_p),esk4_1(uri_ex_p)) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_55,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
    i_0_17 ).

cnf(c_0_56,plain,
    ( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | iext(uri_ex_p,esk3_1(uri_ex_p),esk4_1(uri_ex_p)) ),
    inference(spm,[status(thm)],[c_0_51,c_0_50]) ).

cnf(c_0_57,plain,
    ( X1 = uri_ex_w
    | ~ icext(X2,X1)
    | ~ iext(uri_owl_oneOf,X2,esk7_0) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_58,plain,
    iext(uri_owl_oneOf,esk5_0,esk7_0),
    i_0_24 ).

cnf(c_0_59,plain,
    ( icext(esk5_0,X1)
    | ~ iext(uri_ex_p,X1,X2) ),
    inference(spm,[status(thm)],[c_0_39,c_0_42]) ).

cnf(c_0_60,plain,
    iext(uri_ex_p,esk2_1(uri_ex_p),esk4_1(uri_ex_p)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_54]),c_0_55]) ).

cnf(c_0_61,plain,
    iext(uri_ex_p,esk3_1(uri_ex_p),esk4_1(uri_ex_p)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_56]),c_0_55]) ).

cnf(c_0_62,plain,
    ( icext(uri_owl_InverseFunctionalProperty,X1)
    | esk3_1(X1) != esk2_1(X1)
    | ~ ip(X1) ),
    i_0_12 ).

cnf(c_0_63,plain,
    ( X1 = uri_ex_w
    | ~ icext(esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_64,plain,
    icext(esk5_0,esk2_1(uri_ex_p)),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_65,plain,
    icext(esk5_0,esk3_1(uri_ex_p)),
    inference(spm,[status(thm)],[c_0_59,c_0_61]) ).

cnf(c_0_66,plain,
    ( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
    | esk2_1(uri_ex_p) != esk3_1(uri_ex_p) ),
    inference(spm,[status(thm)],[c_0_62,c_0_50]) ).

cnf(c_0_67,plain,
    esk2_1(uri_ex_p) = uri_ex_w,
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_68,plain,
    esk3_1(uri_ex_p) = uri_ex_w,
    inference(spm,[status(thm)],[c_0_63,c_0_65]) ).

cnf(c_0_69,plain,
    icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_67]),c_0_68])]) ).

cnf(c_0_70,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_69]),c_0_55]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWB026+2 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n025.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 04:28:45 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 7.15/2.29  # ENIGMATIC: Solved by autoschedule:
% 7.15/2.29  # No SInE strategy applied
% 7.15/2.29  # Trying AutoSched0 for 150 seconds
% 7.15/2.29  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S064I
% 7.15/2.29  # and selection function SelectComplexG.
% 7.15/2.29  #
% 7.15/2.29  # Preprocessing time       : 0.012 s
% 7.15/2.29  # Presaturation interreduction done
% 7.15/2.29  
% 7.15/2.29  # Proof found!
% 7.15/2.29  # SZS status Theorem
% 7.15/2.29  # SZS output start CNFRefutation
% See solution above
% 7.15/2.29  # Training examples: 0 positive, 0 negative
% 7.15/2.29  
% 7.15/2.29  # -------------------------------------------------
% 7.15/2.29  # User time                : 0.013 s
% 7.15/2.29  # System time              : 0.007 s
% 7.15/2.29  # Total time               : 0.020 s
% 7.15/2.29  # Maximum resident set size: 7120 pages
% 7.15/2.29  
%------------------------------------------------------------------------------