TSTP Solution File: SWB009+2 by Goeland---1.0.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Goeland---1.0.0
% Problem  : SWB009+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : goeland -dmt -presko -proof %s

% Computer : n027.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  : 300s
% DateTime : Tue Sep 20 08:21:59 EDT 2022

% Result   : Theorem 15.98s 8.72s
% Output   : Proof 15.98s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.13  % Problem    : SWB009+2 : TPTP v8.1.0. Released v5.2.0.
% 0.13/0.13  % Command    : goeland -dmt -presko -proof %s
% 0.13/0.33  % Computer : n027.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Sat Sep  3 19:35:35 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.13/0.34  [DMT] DMT loaded with preskolemization
% 0.13/0.34  [EQ] equality loaded.
% 0.13/0.34  [0.000036s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.34  Start search
% 0.13/0.34  nb_step : 1 - limit : 6
% 0.13/0.34  Launch Gotab with destructive = true
% 4.93/2.50  nb_step : 2 - limit : 12
% 4.93/2.50  Launch Gotab with destructive = true
% 15.95/8.71  % SZS output start Proof for theBenchmark.p
% 15.98/8.71  [906] ALPHA_AND : (! [X7_7, C8_8] :  ((iext(uri_rdf_type, X7_7, C8_8) <=> icext(C8_8, X7_7))) & ! [Z9_9, P10_10, C11_11] :  (((iext(uri_owl_someValuesFrom, Z9_9, C11_11) & iext(uri_owl_onProperty, Z9_9, P10_10)) => ! [X12_12] :  ((icext(Z9_9, X12_12) <=> ? [Y13_13] :  ((iext(P10_10, X12_12, Y13_13) & icext(C11_11, Y13_13))))))) & ? [BNODE_z15_15] :  ((((((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_s, BNODE_z15_15)) & iext(uri_rdf_type, BNODE_z15_15, uri_owl_Restriction)) & iext(uri_owl_onProperty, BNODE_z15_15, uri_ex_p)) & iext(uri_owl_someValuesFrom, BNODE_z15_15, uri_ex_c))) & ~? [BNODE_x14_14] :  ((iext(uri_ex_p, uri_ex_s, BNODE_x14_14) & iext(uri_rdf_type, BNODE_x14_14, uri_ex_c))))
% 15.98/8.71  	-> [907] ! [X7_7, C8_8] :  ((iext(uri_rdf_type, X7_7, C8_8) <=> icext(C8_8, X7_7))), ! [Z9_9, P10_10, C11_11] :  (((iext(uri_owl_someValuesFrom, Z9_9, C11_11) & iext(uri_owl_onProperty, Z9_9, P10_10)) => ! [X12_12] :  ((icext(Z9_9, X12_12) <=> ? [Y13_13] :  ((iext(P10_10, X12_12, Y13_13) & icext(C11_11, Y13_13))))))), ? [BNODE_z15_15] :  ((((((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_s, BNODE_z15_15)) & iext(uri_rdf_type, BNODE_z15_15, uri_owl_Restriction)) & iext(uri_owl_onProperty, BNODE_z15_15, uri_ex_p)) & iext(uri_owl_someValuesFrom, BNODE_z15_15, uri_ex_c))), ~? [BNODE_x14_14] :  ((iext(uri_ex_p, uri_ex_s, BNODE_x14_14) & iext(uri_rdf_type, BNODE_x14_14, uri_ex_c)))
% 15.98/8.71  
% 15.98/8.71  [907] DELTA_EXISTS : ? [BNODE_z15_15] :  ((((((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_s, BNODE_z15_15)) & iext(uri_rdf_type, BNODE_z15_15, uri_owl_Restriction)) & iext(uri_owl_onProperty, BNODE_z15_15, uri_ex_p)) & iext(uri_owl_someValuesFrom, BNODE_z15_15, uri_ex_c)))
% 15.98/8.71  	-> [908] (((((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_s, skolem_BNODE_z1515)) & iext(uri_rdf_type, skolem_BNODE_z1515, uri_owl_Restriction)) & iext(uri_owl_onProperty, skolem_BNODE_z1515, uri_ex_p)) & iext(uri_owl_someValuesFrom, skolem_BNODE_z1515, uri_ex_c))
% 15.98/8.71  
% 15.98/8.71  [908] ALPHA_AND : (((((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_s, skolem_BNODE_z1515)) & iext(uri_rdf_type, skolem_BNODE_z1515, uri_owl_Restriction)) & iext(uri_owl_onProperty, skolem_BNODE_z1515, uri_ex_p)) & iext(uri_owl_someValuesFrom, skolem_BNODE_z1515, uri_ex_c))
% 15.98/8.71  	-> [909] ((((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_s, skolem_BNODE_z1515)) & iext(uri_rdf_type, skolem_BNODE_z1515, uri_owl_Restriction)) & iext(uri_owl_onProperty, skolem_BNODE_z1515, uri_ex_p)), iext(uri_owl_someValuesFrom, skolem_BNODE_z1515, uri_ex_c)
% 15.98/8.71  
% 15.98/8.71  [909] ALPHA_AND : ((((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_s, skolem_BNODE_z1515)) & iext(uri_rdf_type, skolem_BNODE_z1515, uri_owl_Restriction)) & iext(uri_owl_onProperty, skolem_BNODE_z1515, uri_ex_p))
% 15.98/8.71  	-> [910] (((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_s, skolem_BNODE_z1515)) & iext(uri_rdf_type, skolem_BNODE_z1515, uri_owl_Restriction)), iext(uri_owl_onProperty, skolem_BNODE_z1515, uri_ex_p)
% 15.98/8.71  
% 15.98/8.71  [910] ALPHA_AND : (((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_s, skolem_BNODE_z1515)) & iext(uri_rdf_type, skolem_BNODE_z1515, uri_owl_Restriction))
% 15.98/8.71  	-> [911] ((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_s, skolem_BNODE_z1515)), iext(uri_rdf_type, skolem_BNODE_z1515, uri_owl_Restriction)
% 15.98/8.71  
% 15.98/8.71  [911] ALPHA_AND : ((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_s, skolem_BNODE_z1515))
% 15.98/8.71  	-> [912] (iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class)), iext(uri_rdf_type, uri_ex_s, skolem_BNODE_z1515)
% 15.98/8.71  
% 15.98/8.71  [912] ALPHA_AND : (iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class))
% 15.98/8.71  	-> [913] iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty), iext(uri_rdf_type, uri_ex_c, uri_owl_Class)
% 15.98/8.71  
% 15.98/8.71  [913] GAMMA_FORALL : ! [X7_7, C8_8] :  ((iext(uri_rdf_type, X7_7, C8_8) <=> icext(C8_8, X7_7)))
% 15.98/8.71  	-> [914] (iext(uri_rdf_type, uri_ex_s, skolem_BNODE_z1515) <=> icext(skolem_BNODE_z1515, uri_ex_s))
% 15.98/8.71  
% 15.98/8.71  [914] BETA_EQUIV : (iext(uri_rdf_type, uri_ex_s, skolem_BNODE_z1515) <=> icext(skolem_BNODE_z1515, uri_ex_s))
% 15.98/8.71  	-> [915] ~iext(uri_rdf_type, uri_ex_s, skolem_BNODE_z1515), ~icext(skolem_BNODE_z1515, uri_ex_s)
% 15.98/8.71  	-> [916] iext(uri_rdf_type, uri_ex_s, skolem_BNODE_z1515), icext(skolem_BNODE_z1515, uri_ex_s)
% 15.98/8.71  
% 15.98/8.71  [915] CLOSURE : ~iext(uri_rdf_type, uri_ex_s, skolem_BNODE_z1515)
% 15.98/8.71  
% 15.98/8.71  [916] GAMMA_FORALL : ! [Z9_9, P10_10, C11_11] :  (((iext(uri_owl_someValuesFrom, Z9_9, C11_11) & iext(uri_owl_onProperty, Z9_9, P10_10)) => ! [X12_12] :  ((icext(Z9_9, X12_12) <=> ? [Y13_13] :  ((iext(P10_10, X12_12, Y13_13) & icext(C11_11, Y13_13)))))))
% 15.98/8.71  	-> [917] ((iext(uri_owl_someValuesFrom, skolem_BNODE_z1515, uri_ex_c) & iext(uri_owl_onProperty, skolem_BNODE_z1515, uri_ex_p)) => ! [X12_12] :  ((icext(skolem_BNODE_z1515, X12_12) <=> ? [Y13_13] :  ((iext(uri_ex_p, X12_12, Y13_13) & icext(uri_ex_c, Y13_13))))))
% 15.98/8.71  
% 15.98/8.71  [917] BETA_IMPLY : ((iext(uri_owl_someValuesFrom, skolem_BNODE_z1515, uri_ex_c) & iext(uri_owl_onProperty, skolem_BNODE_z1515, uri_ex_p)) => ! [X12_12] :  ((icext(skolem_BNODE_z1515, X12_12) <=> ? [Y13_13] :  ((iext(uri_ex_p, X12_12, Y13_13) & icext(uri_ex_c, Y13_13))))))
% 15.98/8.71  	-> [918] ~(iext(uri_owl_someValuesFrom, skolem_BNODE_z1515, uri_ex_c) & iext(uri_owl_onProperty, skolem_BNODE_z1515, uri_ex_p))
% 15.98/8.71  	-> [919] ! [X12_12] :  ((icext(skolem_BNODE_z1515, X12_12) <=> ? [Y13_13] :  ((iext(uri_ex_p, X12_12, Y13_13) & icext(uri_ex_c, Y13_13)))))
% 15.98/8.71  
% 15.98/8.71  [918] BETA_NOT_AND : ~(iext(uri_owl_someValuesFrom, skolem_BNODE_z1515, uri_ex_c) & iext(uri_owl_onProperty, skolem_BNODE_z1515, uri_ex_p))
% 15.98/8.71  	-> [920] ~iext(uri_owl_someValuesFrom, skolem_BNODE_z1515, uri_ex_c)
% 15.98/8.71  	-> [921] ~iext(uri_owl_onProperty, skolem_BNODE_z1515, uri_ex_p)
% 15.98/8.71  
% 15.98/8.71  [921] CLOSURE : ~iext(uri_owl_onProperty, skolem_BNODE_z1515, uri_ex_p)
% 15.98/8.71  
% 15.98/8.71  [920] CLOSURE : ~iext(uri_owl_someValuesFrom, skolem_BNODE_z1515, uri_ex_c)
% 15.98/8.71  
% 15.98/8.71  [922] BETA_NOT_AND : ~(iext(uri_ex_p, uri_ex_s, skolem_Y1313(uri_ex_s)) & iext(uri_rdf_type, skolem_Y1313(uri_ex_s), uri_ex_c))
% 15.98/8.71  	-> [2055] ~iext(uri_ex_p, uri_ex_s, skolem_Y1313(uri_ex_s))
% 15.98/8.71  	-> [2056] ~iext(uri_rdf_type, skolem_Y1313(uri_ex_s), uri_ex_c)
% 15.98/8.71  
% 15.98/8.71  [2055] GAMMA_FORALL : ! [X12_12] :  ((icext(skolem_BNODE_z1515, X12_12) <=> ? [Y13_13] :  ((iext(uri_ex_p, X12_12, Y13_13) & icext(uri_ex_c, Y13_13)))))
% 15.98/8.71  	-> [2057] (icext(skolem_BNODE_z1515, uri_ex_s) <=> ? [Y13_13] :  ((iext(uri_ex_p, uri_ex_s, Y13_13) & icext(uri_ex_c, Y13_13))))
% 15.98/8.71  
% 15.98/8.71  [2057] BETA_EQUIV : (icext(skolem_BNODE_z1515, uri_ex_s) <=> ? [Y13_13] :  ((iext(uri_ex_p, uri_ex_s, Y13_13) & icext(uri_ex_c, Y13_13))))
% 15.98/8.71  	-> [2058] ~icext(skolem_BNODE_z1515, uri_ex_s), ~? [Y13_13] :  ((iext(uri_ex_p, uri_ex_s, Y13_13) & icext(uri_ex_c, Y13_13)))
% 15.98/8.71  	-> [2059] icext(skolem_BNODE_z1515, uri_ex_s), ? [Y13_13] :  ((iext(uri_ex_p, uri_ex_s, Y13_13) & icext(uri_ex_c, Y13_13)))
% 15.98/8.71  
% 15.98/8.71  [2058] CLOSURE : ~icext(skolem_BNODE_z1515, uri_ex_s)
% 15.98/8.71  
% 15.98/8.71  [2061] CLOSURE : iext(uri_ex_p, uri_ex_s, skolem_Y1313(uri_ex_s))
% 15.98/8.71  
% 15.98/8.71  [2056] GAMMA_FORALL : ! [X12_12] :  ((icext(skolem_BNODE_z1515, X12_12) <=> ? [Y13_13] :  ((iext(uri_ex_p, X12_12, Y13_13) & icext(uri_ex_c, Y13_13)))))
% 15.98/8.71  	-> [2062] (icext(skolem_BNODE_z1515, uri_ex_s) <=> ? [Y13_13] :  ((iext(uri_ex_p, uri_ex_s, Y13_13) & icext(uri_ex_c, Y13_13))))
% 15.98/8.71  
% 15.98/8.71  [2062] BETA_EQUIV : (icext(skolem_BNODE_z1515, uri_ex_s) <=> ? [Y13_13] :  ((iext(uri_ex_p, uri_ex_s, Y13_13) & icext(uri_ex_c, Y13_13))))
% 15.98/8.71  	-> [2063] ~icext(skolem_BNODE_z1515, uri_ex_s), ~? [Y13_13] :  ((iext(uri_ex_p, uri_ex_s, Y13_13) & icext(uri_ex_c, Y13_13)))
% 15.98/8.71  	-> [2064] icext(skolem_BNODE_z1515, uri_ex_s), ? [Y13_13] :  ((iext(uri_ex_p, uri_ex_s, Y13_13) & icext(uri_ex_c, Y13_13)))
% 15.98/8.71  
% 15.98/8.71  [2063] CLOSURE : ~icext(skolem_BNODE_z1515, uri_ex_s)
% 15.98/8.71  
% 15.98/8.71  [2064] DELTA_EXISTS : ? [Y13_13] :  ((iext(uri_ex_p, uri_ex_s, Y13_13) & icext(uri_ex_c, Y13_13)))
% 15.98/8.71  	-> [2065] (iext(uri_ex_p, uri_ex_s, skolem_Y1313(uri_ex_s)) & icext(uri_ex_c, skolem_Y1313(uri_ex_s)))
% 15.98/8.71  
% 15.98/8.71  [2065] ALPHA_AND : (iext(uri_ex_p, uri_ex_s, skolem_Y1313(uri_ex_s)) & icext(uri_ex_c, skolem_Y1313(uri_ex_s)))
% 15.98/8.71  	-> [2066] iext(uri_ex_p, uri_ex_s, skolem_Y1313(uri_ex_s)), icext(uri_ex_c, skolem_Y1313(uri_ex_s))
% 15.98/8.71  
% 15.98/8.71  [2066] ALPHA_AND : ! [X7_7, C8_8] :  ((iext(uri_rdf_type, X7_7, C8_8) <=> icext(C8_8, X7_7)))
% 15.98/8.71  	-> [2067] ! [X7_7, C8_8] :  ((iext(uri_rdf_type, X7_7, C8_8) <=> icext(C8_8, X7_7)))
% 15.98/8.71  
% 15.98/8.71  [2067] GAMMA_FORALL : ! [X7_7, C8_8] :  ((iext(uri_rdf_type, X7_7, C8_8) <=> icext(C8_8, X7_7)))
% 15.98/8.71  	-> [2068] (iext(uri_rdf_type, skolem_Y1313(uri_ex_s), uri_ex_c) <=> icext(uri_ex_c, skolem_Y1313(uri_ex_s)))
% 15.98/8.71  
% 15.98/8.71  [2068] BETA_EQUIV : (iext(uri_rdf_type, skolem_Y1313(uri_ex_s), uri_ex_c) <=> icext(uri_ex_c, skolem_Y1313(uri_ex_s)))
% 15.98/8.71  	-> [2069] ~iext(uri_rdf_type, skolem_Y1313(uri_ex_s), uri_ex_c), ~icext(uri_ex_c, skolem_Y1313(uri_ex_s))
% 15.98/8.71  	-> [2070] iext(uri_rdf_type, skolem_Y1313(uri_ex_s), uri_ex_c), icext(uri_ex_c, skolem_Y1313(uri_ex_s))
% 15.98/8.71  
% 15.98/8.71  [2070] CLOSURE : iext(uri_rdf_type, skolem_Y1313(uri_ex_s), uri_ex_c)
% 15.98/8.71  
% 15.98/8.71  [2069]  : ! [Z9_9, P10_10, C11_11] :  (((iext(uri_owl_someValuesFrom, Z9_9, C11_11) & iext(uri_owl_onProperty, Z9_9, P10_10)) => ! [X12_12] :  ((icext(Z9_9, X12_12) <=> ? [Y13_13] :  ((iext(P10_10, X12_12, Y13_13) & icext(C11_11, Y13_13)))))))
% 15.98/8.71  	-> [2071] ! [Z9_9, P10_10, C11_11] :  (((iext(uri_owl_someValuesFrom, Z9_9, C11_11) & iext(uri_owl_onProperty, Z9_9, P10_10)) => ! [X12_12] :  ((icext(Z9_9, X12_12) <=> ? [Y13_13] :  ((iext(P10_10, X12_12, Y13_13) & icext(C11_11, Y13_13)))))))
% 15.98/8.71  
% 15.98/8.71  [2071] GAMMA_FORALL : ! [Z9_9, P10_10, C11_11] :  (((iext(uri_owl_someValuesFrom, Z9_9, C11_11) & iext(uri_owl_onProperty, Z9_9, P10_10)) => ! [X12_12] :  ((icext(Z9_9, X12_12) <=> ? [Y13_13] :  ((iext(P10_10, X12_12, Y13_13) & icext(C11_11, Y13_13)))))))
% 15.98/8.71  	-> [2072] ((iext(uri_owl_someValuesFrom, skolem_BNODE_z1515, uri_ex_c) & iext(uri_owl_onProperty, skolem_BNODE_z1515, uri_ex_p)) => ! [X12_12] :  ((icext(skolem_BNODE_z1515, X12_12) <=> ? [Y13_13] :  ((iext(uri_ex_p, X12_12, Y13_13) & icext(uri_ex_c, Y13_13))))))
% 15.98/8.71  
% 15.98/8.71  [2072] BETA_IMPLY : ((iext(uri_owl_someValuesFrom, skolem_BNODE_z1515, uri_ex_c) & iext(uri_owl_onProperty, skolem_BNODE_z1515, uri_ex_p)) => ! [X12_12] :  ((icext(skolem_BNODE_z1515, X12_12) <=> ? [Y13_13] :  ((iext(uri_ex_p, X12_12, Y13_13) & icext(uri_ex_c, Y13_13))))))
% 15.98/8.71  	-> [2073] ~(iext(uri_owl_someValuesFrom, skolem_BNODE_z1515, uri_ex_c) & iext(uri_owl_onProperty, skolem_BNODE_z1515, uri_ex_p))
% 15.98/8.71  	-> [2074] ! [X12_12] :  ((icext(skolem_BNODE_z1515, X12_12) <=> ? [Y13_13] :  ((iext(uri_ex_p, X12_12, Y13_13) & icext(uri_ex_c, Y13_13)))))
% 15.98/8.71  
% 15.98/8.71  [2073] BETA_NOT_AND : ~(iext(uri_owl_someValuesFrom, skolem_BNODE_z1515, uri_ex_c) & iext(uri_owl_onProperty, skolem_BNODE_z1515, uri_ex_p))
% 15.98/8.71  	-> [2075] ~iext(uri_owl_someValuesFrom, skolem_BNODE_z1515, uri_ex_c)
% 15.98/8.71  	-> [2076] ~iext(uri_owl_onProperty, skolem_BNODE_z1515, uri_ex_p)
% 15.98/8.71  
% 15.98/8.71  [2075] CLOSURE : ~iext(uri_owl_someValuesFrom, skolem_BNODE_z1515, uri_ex_c)
% 15.98/8.71  
% 15.98/8.71  [2076] CLOSURE : ~iext(uri_owl_onProperty, skolem_BNODE_z1515, uri_ex_p)
% 15.98/8.71  
% 15.98/8.71  [2074] GAMMA_FORALL : ! [X12_12] :  ((icext(skolem_BNODE_z1515, X12_12) <=> ? [Y13_13] :  ((iext(uri_ex_p, X12_12, Y13_13) & icext(uri_ex_c, Y13_13)))))
% 15.98/8.71  	-> [2077] (icext(skolem_BNODE_z1515, uri_ex_s) <=> ? [Y13_13] :  ((iext(uri_ex_p, uri_ex_s, Y13_13) & icext(uri_ex_c, Y13_13))))
% 15.98/8.71  
% 15.98/8.71  [2077] BETA_EQUIV : (icext(skolem_BNODE_z1515, uri_ex_s) <=> ? [Y13_13] :  ((iext(uri_ex_p, uri_ex_s, Y13_13) & icext(uri_ex_c, Y13_13))))
% 15.98/8.71  	-> [2078] ~icext(skolem_BNODE_z1515, uri_ex_s), ~? [Y13_13] :  ((iext(uri_ex_p, uri_ex_s, Y13_13) & icext(uri_ex_c, Y13_13)))
% 15.98/8.71  	-> [2079] icext(skolem_BNODE_z1515, uri_ex_s), ? [Y13_13] :  ((iext(uri_ex_p, uri_ex_s, Y13_13) & icext(uri_ex_c, Y13_13)))
% 15.98/8.71  
% 15.98/8.71  [2078] CLOSURE : ~icext(skolem_BNODE_z1515, uri_ex_s)
% 15.98/8.71  
% 15.98/8.71  [2081]  : ~? [BNODE_x14_14] :  ((iext(uri_ex_p, uri_ex_s, BNODE_x14_14) & iext(uri_rdf_type, BNODE_x14_14, uri_ex_c)))
% 15.98/8.71  	-> [2082] ~? [BNODE_x14_14] :  ((iext(uri_ex_p, uri_ex_s, BNODE_x14_14) & iext(uri_rdf_type, BNODE_x14_14, uri_ex_c)))
% 15.98/8.71  
% 15.98/8.71  [2082] GAMMA_NOT_EXISTS : ~? [BNODE_x14_14] :  ((iext(uri_ex_p, uri_ex_s, BNODE_x14_14) & iext(uri_rdf_type, BNODE_x14_14, uri_ex_c)))
% 15.98/8.71  	-> [2083] ~(iext(uri_ex_p, uri_ex_s, skolem_Y1313(uri_ex_p, uri_ex_s, uri_ex_c)) & iext(uri_rdf_type, skolem_Y1313(uri_ex_p, uri_ex_s, uri_ex_c), uri_ex_c))
% 15.98/8.71  
% 15.98/8.71  [2083] BETA_NOT_AND : ~(iext(uri_ex_p, uri_ex_s, skolem_Y1313(uri_ex_p, uri_ex_s, uri_ex_c)) & iext(uri_rdf_type, skolem_Y1313(uri_ex_p, uri_ex_s, uri_ex_c), uri_ex_c))
% 15.98/8.71  	-> [2084] ~iext(uri_ex_p, uri_ex_s, skolem_Y1313(uri_ex_p, uri_ex_s, uri_ex_c))
% 15.98/8.71  	-> [2085] ~iext(uri_rdf_type, skolem_Y1313(uri_ex_p, uri_ex_s, uri_ex_c), uri_ex_c)
% 15.98/8.71  
% 15.98/8.71  [2084] CLOSURE : ~iext(uri_ex_p, uri_ex_s, skolem_Y1313(uri_ex_p, uri_ex_s, uri_ex_c))
% 15.98/8.71  
% 15.98/8.71  [2087] BETA_EQUIV : (icext(skolem_BNODE_z1515, uri_ex_s) <=> ? [Y13_13] :  ((iext(uri_ex_p, uri_ex_s, Y13_13) & icext(uri_ex_c, Y13_13))))
% 15.98/8.72  	-> [2186] ~icext(skolem_BNODE_z1515, uri_ex_s), ~? [Y13_13] :  ((iext(uri_ex_p, uri_ex_s, Y13_13) & icext(uri_ex_c, Y13_13)))
% 15.98/8.72  	-> [2187] icext(skolem_BNODE_z1515, uri_ex_s), ? [Y13_13] :  ((iext(uri_ex_p, uri_ex_s, Y13_13) & icext(uri_ex_c, Y13_13)))
% 15.98/8.72  
% 15.98/8.72  [2186] CLOSURE : ~icext(skolem_BNODE_z1515, uri_ex_s)
% 15.98/8.72  
% 15.98/8.72  [2191] BETA_EQUIV : (icext(skolem_BNODE_z1515, uri_ex_s) <=> ? [Y13_13] :  ((iext(uri_ex_p, uri_ex_s, Y13_13) & icext(uri_ex_c, Y13_13))))
% 15.98/8.72  	-> [2220] ~icext(skolem_BNODE_z1515, uri_ex_s), ~? [Y13_13] :  ((iext(uri_ex_p, uri_ex_s, Y13_13) & icext(uri_ex_c, Y13_13)))
% 15.98/8.72  	-> [2221] icext(skolem_BNODE_z1515, uri_ex_s), ? [Y13_13] :  ((iext(uri_ex_p, uri_ex_s, Y13_13) & icext(uri_ex_c, Y13_13)))
% 15.98/8.72  
% 15.98/8.72  [2220] CLOSURE : ~icext(skolem_BNODE_z1515, uri_ex_s)
% 15.98/8.72  
% 15.98/8.72  [2225] BETA_EQUIV : (iext(uri_rdf_type, skolem_Y1313(uri_ex_p, uri_ex_s, uri_ex_c), uri_ex_c) <=> icext(uri_ex_c, skolem_Y1313(uri_ex_p, uri_ex_s, uri_ex_c)))
% 15.98/8.72  	-> [2228] ~iext(uri_rdf_type, skolem_Y1313(uri_ex_p, uri_ex_s, uri_ex_c), uri_ex_c), ~icext(uri_ex_c, skolem_Y1313(uri_ex_p, uri_ex_s, uri_ex_c))
% 15.98/8.72  	-> [2229] iext(uri_rdf_type, skolem_Y1313(uri_ex_p, uri_ex_s, uri_ex_c), uri_ex_c), icext(uri_ex_c, skolem_Y1313(uri_ex_p, uri_ex_s, uri_ex_c))
% 15.98/8.72  
% 15.98/8.72  [2229] CLOSURE : icext(uri_ex_c, skolem_Y1313(uri_ex_p, uri_ex_s, uri_ex_c))
% 15.98/8.72  
% 15.98/8.72  [2228] CLOSURE : ~icext(uri_ex_c, skolem_Y1313(uri_ex_p, uri_ex_s, uri_ex_c))
% 15.98/8.72  
% 15.98/8.72  % SZS output end Proof for theBenchmark.p
% 15.98/8.72  [8.376593s][1][Res] 31533 goroutines created
% 15.98/8.72  ==== Result ====
% 15.98/8.72  [8.376630s][1][Res] VALID
% 15.98/8.72  % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------