TSTP Solution File: SWB013+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWB013+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n017.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 18:58:32 EDT 2022

% Result   : Theorem 7.73s 2.37s
% Output   : CNFRefutation 7.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   23
% Syntax   : Number of clauses     :   68 (  40 unt;   0 nHn;  68 RR)
%            Number of literals    :  161 (   3 equ;  95 neg)
%            Maximal clause size   :   11 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  22 con; 0-4 aty)
%            Number of variables   :  120 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_22,plain,
    ( iext(X1,X2,X3)
    | ~ iext(X4,X5,X3)
    | ~ iext(X6,X7,X5)
    | ~ iext(X8,X2,X7)
    | ~ iext(uri_rdf_first,X9,X4)
    | ~ iext(uri_rdf_first,X10,X6)
    | ~ iext(uri_rdf_first,X11,X8)
    | ~ iext(uri_rdf_rest,X10,X9)
    | ~ iext(uri_rdf_rest,X11,X10)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X11)
    | ~ iext(uri_rdf_rest,X9,uri_rdf_nil) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pxhlhxgp/input.p',i_0_22) ).

cnf(i_0_38,plain,
    iext(uri_rdf_rest,esk15_0,uri_rdf_nil),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pxhlhxgp/input.p',i_0_38) ).

cnf(i_0_39,plain,
    iext(uri_rdf_first,esk15_0,esk12_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pxhlhxgp/input.p',i_0_39) ).

cnf(i_0_40,plain,
    iext(uri_rdf_rest,esk14_0,esk15_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pxhlhxgp/input.p',i_0_40) ).

cnf(i_0_5,plain,
    ( iext(X1,X2,esk1_4(X3,X1,X4,X2))
    | ~ icext(X3,X2)
    | ~ iext(uri_owl_someValuesFrom,X3,X4)
    | ~ iext(uri_owl_onProperty,X3,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pxhlhxgp/input.p',i_0_5) ).

cnf(i_0_46,plain,
    iext(uri_owl_someValuesFrom,esk11_0,uri_ex_Clique),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pxhlhxgp/input.p',i_0_46) ).

cnf(i_0_8,plain,
    ( icext(X1,X2)
    | ~ icext(X3,X2)
    | ~ iext(uri_rdfs_subClassOf,X3,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pxhlhxgp/input.p',i_0_8) ).

cnf(i_0_49,plain,
    iext(uri_rdfs_subClassOf,uri_ex_Clique,esk11_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pxhlhxgp/input.p',i_0_49) ).

cnf(i_0_2,plain,
    ( icext(X1,X2)
    | ~ iext(uri_rdf_type,X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pxhlhxgp/input.p',i_0_2) ).

cnf(i_0_36,plain,
    iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pxhlhxgp/input.p',i_0_36) ).

cnf(i_0_41,plain,
    iext(uri_rdf_first,esk14_0,uri_ex_sameCliqueAs),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pxhlhxgp/input.p',i_0_41) ).

cnf(i_0_47,plain,
    iext(uri_owl_onProperty,esk11_0,uri_ex_sameCliqueAs),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pxhlhxgp/input.p',i_0_47) ).

cnf(i_0_42,plain,
    iext(uri_rdf_rest,esk13_0,esk14_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pxhlhxgp/input.p',i_0_42) ).

cnf(i_0_13,plain,
    ( iext(X1,X2,X3)
    | ~ iext(X4,X2,X3)
    | ~ iext(uri_rdfs_subPropertyOf,X4,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pxhlhxgp/input.p',i_0_13) ).

cnf(i_0_51,plain,
    iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pxhlhxgp/input.p',i_0_51) ).

cnf(i_0_43,plain,
    iext(uri_rdf_first,esk13_0,uri_rdf_type),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pxhlhxgp/input.p',i_0_43) ).

cnf(i_0_29,plain,
    ( iext(X1,X2,X3)
    | ~ iext(X4,X3,X2)
    | ~ iext(uri_owl_inverseOf,X1,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pxhlhxgp/input.p',i_0_29) ).

cnf(i_0_37,plain,
    iext(uri_owl_inverseOf,esk12_0,uri_rdf_type),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pxhlhxgp/input.p',i_0_37) ).

cnf(i_0_44,plain,
    iext(uri_owl_propertyChainAxiom,uri_foaf_knows,esk13_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pxhlhxgp/input.p',i_0_44) ).

cnf(i_0_34,plain,
    iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pxhlhxgp/input.p',i_0_34) ).

cnf(i_0_17,plain,
    ( X1 = X2
    | ~ iext(uri_owl_sameAs,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pxhlhxgp/input.p',i_0_17) ).

cnf(i_0_35,plain,
    iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pxhlhxgp/input.p',i_0_35) ).

cnf(i_0_33,negated_conjecture,
    ~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pxhlhxgp/input.p',i_0_33) ).

cnf(c_0_75,plain,
    ( iext(X1,X2,X3)
    | ~ iext(X4,X5,X3)
    | ~ iext(X6,X7,X5)
    | ~ iext(X8,X2,X7)
    | ~ iext(uri_rdf_first,X9,X4)
    | ~ iext(uri_rdf_first,X10,X6)
    | ~ iext(uri_rdf_first,X11,X8)
    | ~ iext(uri_rdf_rest,X10,X9)
    | ~ iext(uri_rdf_rest,X11,X10)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X11)
    | ~ iext(uri_rdf_rest,X9,uri_rdf_nil) ),
    i_0_22 ).

cnf(c_0_76,plain,
    iext(uri_rdf_rest,esk15_0,uri_rdf_nil),
    i_0_38 ).

cnf(c_0_77,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_rdf_first,esk15_0,X4)
    | ~ iext(uri_rdf_rest,X5,esk15_0)
    | ~ iext(uri_rdf_first,X6,X7)
    | ~ iext(uri_rdf_first,X5,X8)
    | ~ iext(uri_rdf_rest,X6,X5)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X6)
    | ~ iext(X7,X2,X9)
    | ~ iext(X8,X9,X10)
    | ~ iext(X4,X10,X3) ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_78,plain,
    iext(uri_rdf_first,esk15_0,esk12_0),
    i_0_39 ).

cnf(c_0_79,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_rdf_rest,X4,esk15_0)
    | ~ iext(uri_rdf_first,X5,X6)
    | ~ iext(uri_rdf_first,X4,X7)
    | ~ iext(uri_rdf_rest,X5,X4)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X5)
    | ~ iext(esk12_0,X8,X3)
    | ~ iext(X6,X2,X9)
    | ~ iext(X7,X9,X8) ),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_80,plain,
    iext(uri_rdf_rest,esk14_0,esk15_0),
    i_0_40 ).

cnf(c_0_81,plain,
    ( iext(X1,X2,esk1_4(X3,X1,X4,X2))
    | ~ icext(X3,X2)
    | ~ iext(uri_owl_someValuesFrom,X3,X4)
    | ~ iext(uri_owl_onProperty,X3,X1) ),
    i_0_5 ).

cnf(c_0_82,plain,
    iext(uri_owl_someValuesFrom,esk11_0,uri_ex_Clique),
    i_0_46 ).

cnf(c_0_83,plain,
    ( icext(X1,X2)
    | ~ icext(X3,X2)
    | ~ iext(uri_rdfs_subClassOf,X3,X1) ),
    i_0_8 ).

cnf(c_0_84,plain,
    iext(uri_rdfs_subClassOf,uri_ex_Clique,esk11_0),
    i_0_49 ).

cnf(c_0_85,plain,
    ( icext(X1,X2)
    | ~ iext(uri_rdf_type,X2,X1) ),
    i_0_2 ).

cnf(c_0_86,plain,
    iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique),
    i_0_36 ).

cnf(c_0_87,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_rdf_first,esk14_0,X4)
    | ~ iext(uri_rdf_rest,X5,esk14_0)
    | ~ iext(uri_rdf_first,X5,X6)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X5)
    | ~ iext(esk12_0,X7,X3)
    | ~ iext(X6,X2,X8)
    | ~ iext(X4,X8,X7) ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_88,plain,
    iext(uri_rdf_first,esk14_0,uri_ex_sameCliqueAs),
    i_0_41 ).

cnf(c_0_89,plain,
    ( iext(X1,X2,esk1_4(esk11_0,X1,uri_ex_Clique,X2))
    | ~ icext(esk11_0,X2)
    | ~ iext(uri_owl_onProperty,esk11_0,X1) ),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_90,plain,
    iext(uri_owl_onProperty,esk11_0,uri_ex_sameCliqueAs),
    i_0_47 ).

cnf(c_0_91,plain,
    ( icext(esk11_0,X1)
    | ~ icext(uri_ex_Clique,X1) ),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_92,plain,
    icext(uri_ex_Clique,uri_ex_JoesGang),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_93,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_rdf_rest,X4,esk14_0)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X4)
    | ~ iext(esk12_0,X6,X3)
    | ~ iext(uri_ex_sameCliqueAs,X7,X6)
    | ~ iext(X5,X2,X7) ),
    inference(spm,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_94,plain,
    iext(uri_rdf_rest,esk13_0,esk14_0),
    i_0_42 ).

cnf(c_0_95,plain,
    ( iext(X1,X2,X3)
    | ~ iext(X4,X2,X3)
    | ~ iext(uri_rdfs_subPropertyOf,X4,X1) ),
    i_0_13 ).

cnf(c_0_96,plain,
    iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs),
    i_0_51 ).

cnf(c_0_97,plain,
    ( iext(uri_ex_sameCliqueAs,X1,esk1_4(esk11_0,uri_ex_sameCliqueAs,uri_ex_Clique,X1))
    | ~ icext(esk11_0,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_98,plain,
    icext(esk11_0,uri_ex_JoesGang),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_99,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_rdf_first,esk13_0,X4)
    | ~ iext(uri_owl_propertyChainAxiom,X1,esk13_0)
    | ~ iext(esk12_0,X5,X3)
    | ~ iext(uri_ex_sameCliqueAs,X6,X5)
    | ~ iext(X4,X2,X6) ),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_100,plain,
    iext(uri_rdf_first,esk13_0,uri_rdf_type),
    i_0_43 ).

cnf(c_0_101,plain,
    ( iext(X1,X2,X3)
    | ~ iext(X4,X3,X2)
    | ~ iext(uri_owl_inverseOf,X1,X4) ),
    i_0_29 ).

cnf(c_0_102,plain,
    iext(uri_owl_inverseOf,esk12_0,uri_rdf_type),
    i_0_37 ).

cnf(c_0_103,plain,
    ( iext(uri_owl_sameAs,X1,X2)
    | ~ iext(uri_ex_sameCliqueAs,X1,X2) ),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_104,plain,
    iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,esk1_4(esk11_0,uri_ex_sameCliqueAs,uri_ex_Clique,uri_ex_JoesGang)),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_105,plain,
    ( iext(X1,X2,X3)
    | ~ iext(uri_owl_propertyChainAxiom,X1,esk13_0)
    | ~ iext(esk12_0,X4,X3)
    | ~ iext(uri_ex_sameCliqueAs,X5,X4)
    | ~ iext(uri_rdf_type,X2,X5) ),
    inference(spm,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_106,plain,
    iext(uri_owl_propertyChainAxiom,uri_foaf_knows,esk13_0),
    i_0_44 ).

cnf(c_0_107,plain,
    ( iext(esk12_0,X1,X2)
    | ~ iext(uri_rdf_type,X2,X1) ),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_108,plain,
    iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang),
    i_0_34 ).

cnf(c_0_109,plain,
    ( X1 = X2
    | ~ iext(uri_owl_sameAs,X1,X2) ),
    i_0_17 ).

cnf(c_0_110,plain,
    iext(uri_owl_sameAs,uri_ex_JoesGang,esk1_4(esk11_0,uri_ex_sameCliqueAs,uri_ex_Clique,uri_ex_JoesGang)),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_111,plain,
    ( iext(uri_foaf_knows,X1,X2)
    | ~ iext(esk12_0,X3,X2)
    | ~ iext(uri_ex_sameCliqueAs,X4,X3)
    | ~ iext(uri_rdf_type,X1,X4) ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_112,plain,
    iext(esk12_0,uri_ex_JoesGang,uri_ex_bob),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_113,plain,
    esk1_4(esk11_0,uri_ex_sameCliqueAs,uri_ex_Clique,uri_ex_JoesGang) = uri_ex_JoesGang,
    inference(spm,[status(thm)],[c_0_109,c_0_110]) ).

cnf(c_0_114,plain,
    ( iext(uri_foaf_knows,X1,uri_ex_bob)
    | ~ iext(uri_ex_sameCliqueAs,X2,uri_ex_JoesGang)
    | ~ iext(uri_rdf_type,X1,X2) ),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_115,plain,
    iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,uri_ex_JoesGang),
    inference(rw,[status(thm)],[c_0_104,c_0_113]) ).

cnf(c_0_116,plain,
    ( iext(uri_foaf_knows,X1,uri_ex_bob)
    | ~ iext(uri_rdf_type,X1,uri_ex_JoesGang) ),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

cnf(c_0_117,plain,
    iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang),
    i_0_35 ).

cnf(c_0_118,negated_conjecture,
    ~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
    i_0_33 ).

cnf(c_0_119,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWB013+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 : n017.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
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jun  1 10:48:43 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected complete mode:
% 7.73/2.37  # ENIGMATIC: Solved by autoschedule:
% 7.73/2.37  # No SInE strategy applied
% 7.73/2.37  # Trying AutoSched0 for 150 seconds
% 7.73/2.37  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S00AA
% 7.73/2.37  # and selection function SelectLargestOrientable.
% 7.73/2.37  #
% 7.73/2.37  # Preprocessing time       : 0.025 s
% 7.73/2.37  # Presaturation interreduction done
% 7.73/2.37  
% 7.73/2.37  # Proof found!
% 7.73/2.37  # SZS status Theorem
% 7.73/2.37  # SZS output start CNFRefutation
% See solution above
% 7.73/2.37  # Training examples: 0 positive, 0 negative
% 7.73/2.37  
% 7.73/2.37  # -------------------------------------------------
% 7.73/2.37  # User time                : 0.047 s
% 7.73/2.37  # System time              : 0.006 s
% 7.73/2.37  # Total time               : 0.054 s
% 7.73/2.37  # Maximum resident set size: 7124 pages
% 7.73/2.37  
%------------------------------------------------------------------------------