TSTP Solution File: SWB008+2 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SWB008+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n003.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 : Sat Jul 23 06:19:26 EDT 2022

% Result   : Theorem 0.18s 0.45s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWB008+2 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n003.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  : 300
% 0.12/0.33  % DateTime : Fri Jul 22 08:23:38 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  GeoParameters:
% 0.18/0.45  
% 0.18/0.45  tptp_input =     1
% 0.18/0.45  tptp_output =    0
% 0.18/0.45  nonempty =       1
% 0.18/0.45  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.45  
% 0.18/0.45  
% 0.18/0.45  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  
% 0.18/0.45  RuleSystem INPUT:
% 0.18/0.45  
% 0.18/0.45  Initial Rules:
% 0.18/0.45  #0: input, references = 10, size of lhs = 2:
% 0.18/0.45     P_uri_rdf_type-{F}(V0), iext-{F}(V0,V1,V2) | icext-{T}(V2,V1)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #1: input, references = 3, size of lhs = 2:
% 0.18/0.45     P_uri_rdf_type-{F}(V0), icext-{F}(V2,V1) | iext-{T}(V0,V1,V2)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #2: input, references = 7, size of lhs = 4:
% 0.18/0.45     P_uri_rdf_type-{F}(V0), P_uri_owl_sameAs-{F}(V1), iext-{F}(V1,V2,V3), V2 == V3 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #3: input, references = 7, size of lhs = 3:
% 0.18/0.45     P_uri_rdf_type-{F}(V0), P_uri_owl_sameAs-{F}(V1), #-{F} V3 | iext-{T}(V1,V3,V3)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #4: input, references = 10, size of lhs = 4:
% 0.18/0.45     P_uri_rdf_type-{F}(V0), P_uri_owl_sameAs-{F}(V1), P_uri_owl_InverseFunctionalProperty-{F}(V2), icext-{F}(V2,V3) | pppp0-{T}(V3)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #5: input, references = 3, size of lhs = 4:
% 0.18/0.45     P_uri_rdf_type-{F}(V0), P_uri_owl_sameAs-{F}(V1), P_uri_owl_InverseFunctionalProperty-{F}(V2), pppp0-{F}(V3) | icext-{T}(V2,V3)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #6: input, references = 3, size of lhs = 4:
% 0.18/0.45     P_uri_rdf_type-{F}(V0), P_uri_owl_sameAs-{F}(V1), P_uri_owl_InverseFunctionalProperty-{F}(V2), pppp0-{F}(V3) | ip-{T}(V3)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #7: input, references = 9, size of lhs = 7:
% 0.18/0.45     P_uri_rdf_type-{F}(V0), P_uri_owl_sameAs-{F}(V1), P_uri_owl_InverseFunctionalProperty-{F}(V2), pppp0-{F}(V3), iext-{F}(V3,V4,V5), iext-{F}(V3,V6,V5), V6 == V4 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #8: input, references = 3, size of lhs = 4:
% 0.18/0.45     P_uri_rdf_type-{F}(V0), P_uri_owl_sameAs-{F}(V1), P_uri_owl_InverseFunctionalProperty-{F}(V2), ip-{F}(V3) | pppp0-{T}(V3), pppp4-{T}(V3)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #9: input, references = 3, size of lhs = 1:
% 0.18/0.45     pppp4-{F}(V0) | EXISTS V1: pppp3-{T}(V0,V1)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #10: input, references = 3, size of lhs = 1:
% 0.18/0.45     pppp3-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V2,V0,V1)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #11: input, references = 3, size of lhs = 1:
% 0.18/0.45     pppp2-{F}(V0,V1,V2) | EXISTS V3: pppp1-{T}(V0,V1,V3,V2)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #12: input, references = 3, size of lhs = 1:
% 0.18/0.45     pppp2-{F}(V0,V1,V2) | iext-{T}(V1,V2,V0)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #13: input, references = 3, size of lhs = 1:
% 0.18/0.45     pppp1-{F}(V0,V1,V3,V3) | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #14: input, references = 3, size of lhs = 1:
% 0.18/0.45     pppp1-{F}(V0,V1,V2,V3) | iext-{T}(V1,V2,V0)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #15: input, references = 6, size of lhs = 6:
% 0.18/0.45     P_uri_rdf_type-{F}(V0), P_uri_owl_sameAs-{F}(V1), P_uri_owl_InverseFunctionalProperty-{F}(V2), P_uri_ex_bob-{F}(V3), P_uri_ex_robert-{F}(V4), iext-{F}(V1,V3,V4) | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #16: input, references = 8, size of lhs = 9:
% 0.18/0.45     P_uri_rdf_type-{F}(V0), P_uri_owl_sameAs-{F}(V1), P_uri_owl_InverseFunctionalProperty-{F}(V2), P_uri_ex_bob-{F}(V3), P_uri_ex_robert-{F}(V4), P_uri_foaf_mbox_sha1sum-{F}(V5), P_uri_owl_DatatypeProperty-{F}(V6), P_dat_str_xyz-{F}(V7), P_literal_plain-{F}(V7,V8) | iext-{T}(V0,V5,V6)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #17: input, references = 8, size of lhs = 9:
% 0.18/0.45     P_uri_rdf_type-{F}(V0), P_uri_owl_sameAs-{F}(V1), P_uri_owl_InverseFunctionalProperty-{F}(V2), P_uri_ex_bob-{F}(V3), P_uri_ex_robert-{F}(V4), P_uri_foaf_mbox_sha1sum-{F}(V5), P_uri_owl_DatatypeProperty-{F}(V6), P_dat_str_xyz-{F}(V7), P_literal_plain-{F}(V7,V8) | iext-{T}(V0,V5,V2)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #18: input, references = 7, size of lhs = 9:
% 0.18/0.45     P_uri_rdf_type-{F}(V0), P_uri_owl_sameAs-{F}(V1), P_uri_owl_InverseFunctionalProperty-{F}(V2), P_uri_ex_bob-{F}(V3), P_uri_ex_robert-{F}(V4), P_uri_foaf_mbox_sha1sum-{F}(V5), P_uri_owl_DatatypeProperty-{F}(V6), P_dat_str_xyz-{F}(V7), P_literal_plain-{F}(V7,V8) | iext-{T}(V5,V3,V8)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #19: input, references = 8, size of lhs = 9:
% 0.18/0.45     P_uri_rdf_type-{F}(V0), P_uri_owl_sameAs-{F}(V1), P_uri_owl_InverseFunctionalProperty-{F}(V2), P_uri_ex_bob-{F}(V3), P_uri_ex_robert-{F}(V4), P_uri_foaf_mbox_sha1sum-{F}(V5), P_uri_owl_DatatypeProperty-{F}(V6), P_dat_str_xyz-{F}(V7), P_literal_plain-{F}(V7,V8) | iext-{T}(V5,V4,V8)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #20: input, references = 4, size of lhs = 0:
% 0.18/0.45     FALSE | EXISTS V0: P_uri_rdf_type-{T}(V0)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #21: input, references = 4, size of lhs = 0:
% 0.18/0.45     FALSE | EXISTS V0: P_uri_owl_sameAs-{T}(V0)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #22: input, references = 5, size of lhs = 0:
% 0.18/0.45     FALSE | EXISTS V0: P_uri_owl_InverseFunctionalProperty-{T}(V0)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #23: input, references = 6, size of lhs = 0:
% 0.18/0.45     FALSE | EXISTS V0: P_uri_ex_bob-{T}(V0)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #24: input, references = 6, size of lhs = 0:
% 0.18/0.45     FALSE | EXISTS V0: P_uri_ex_robert-{T}(V0)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #25: input, references = 5, size of lhs = 0:
% 0.18/0.45     FALSE | EXISTS V0: P_uri_foaf_mbox_sha1sum-{T}(V0)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #26: input, references = 5, size of lhs = 0:
% 0.18/0.45     FALSE | EXISTS V0: P_uri_owl_DatatypeProperty-{T}(V0)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #27: input, references = 9, size of lhs = 1:
% 0.18/0.45     #-{F} V0 | EXISTS V1: P_literal_plain-{T}(V0,V1)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #28: input, references = 9, size of lhs = 0:
% 0.18/0.45     FALSE | EXISTS V0: P_dat_str_xyz-{T}(V0)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  number of initial rules = 29
% 0.18/0.45  
% 0.18/0.45  Simplifiers:
% 0.18/0.45  #29: unsound, references = 3, size of lhs = 3:
% 0.18/0.45     P_uri_rdf_type-{F}(V0), P_uri_rdf_type-{F}(V1), V0 == V1 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #30: unsound, references = 3, size of lhs = 3:
% 0.18/0.45     P_uri_owl_sameAs-{F}(V0), P_uri_owl_sameAs-{F}(V1), V0 == V1 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #31: unsound, references = 3, size of lhs = 3:
% 0.18/0.45     P_uri_owl_InverseFunctionalProperty-{F}(V0), P_uri_owl_InverseFunctionalProperty-{F}(V1), V0 == V1 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #32: unsound, references = 3, size of lhs = 3:
% 0.18/0.45     P_uri_ex_bob-{F}(V0), P_uri_ex_bob-{F}(V1), V0 == V1 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #33: unsound, references = 3, size of lhs = 3:
% 0.18/0.45     P_uri_ex_robert-{F}(V0), P_uri_ex_robert-{F}(V1), V0 == V1 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #34: unsound, references = 3, size of lhs = 3:
% 0.18/0.45     P_uri_foaf_mbox_sha1sum-{F}(V0), P_uri_foaf_mbox_sha1sum-{F}(V1), V0 == V1 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #35: unsound, references = 3, size of lhs = 3:
% 0.18/0.45     P_uri_owl_DatatypeProperty-{F}(V0), P_uri_owl_DatatypeProperty-{F}(V1), V0 == V1 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #36: unsound, references = 3, size of lhs = 3:
% 0.18/0.45     P_literal_plain-{F}(V0,V1), P_literal_plain-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #37: unsound, references = 3, size of lhs = 3:
% 0.18/0.45     P_dat_str_xyz-{F}(V0), P_dat_str_xyz-{F}(V1), V0 == V1 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #38: unsound, references = 3, size of lhs = 3:
% 0.18/0.45     pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #39: unsound, references = 3, size of lhs = 3:
% 0.18/0.45     pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V1,V6,V3), V0 == V4 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #40: unsound, references = 3, size of lhs = 3:
% 0.18/0.45     pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V1,V6,V7), V3 == V7 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #41: unsound, references = 3, size of lhs = 3:
% 0.18/0.45     pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #42: unsound, references = 3, size of lhs = 3:
% 0.18/0.45     pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V1,V5), V2 == V5 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #43: unsound, references = 3, size of lhs = 3:
% 0.18/0.45     pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  number of simplifiers = 15
% 0.18/0.45  
% 0.18/0.45  Learnt:
% 0.18/0.45  #50: mergings( V2 == V9, V9 == V3; #46 ), references = 1, size of lhs = 9:
% 0.18/0.45     P_uri_owl_sameAs-{F}(V0), P_uri_rdf_type-{F}(V0), P_uri_owl_InverseFunctionalProperty-{F}(V1), P_uri_ex_bob-{F}(V2), P_uri_ex_robert-{F}(V3), P_uri_foaf_mbox_sha1sum-{F}(V4), P_uri_owl_DatatypeProperty-{F}(V5), V4 == V5, P_dat_str_xyz-{F}(V6) | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #54: mergings( V2 == V9, V3 == V10, V4 == V11; #47 ), references = 1, size of lhs = 11:
% 0.18/0.45     pppp0-{F}(V0), P_uri_rdf_type-{F}(V0), P_uri_ex_bob-{F}(V1), P_uri_ex_robert-{F}(V2), P_uri_foaf_mbox_sha1sum-{F}(V3), P_uri_owl_DatatypeProperty-{F}(V4), P_dat_str_xyz-{F}(V5), P_uri_owl_sameAs-{F}(V6), P_uri_owl_InverseFunctionalProperty-{F}(V7), iext-{F}(V0,V8,V4), V3 == V8 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #59: mergings( V1 == V8, V8 == V2; #55 ), references = 1, size of lhs = 8:
% 0.18/0.45     P_uri_owl_sameAs-{F}(V0), P_uri_rdf_type-{F}(V0), P_uri_owl_InverseFunctionalProperty-{F}(V1), P_uri_ex_bob-{F}(V2), P_uri_ex_robert-{F}(V3), P_uri_foaf_mbox_sha1sum-{F}(V4), P_uri_owl_DatatypeProperty-{F}(V5), V4 == V5 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #63: mergings( V1 == V8, V2 == V9, V3 == V10; #56 ), references = 1, size of lhs = 10:
% 0.18/0.45     pppp0-{F}(V0), P_uri_rdf_type-{F}(V0), P_uri_ex_bob-{F}(V1), P_uri_ex_robert-{F}(V2), P_uri_foaf_mbox_sha1sum-{F}(V3), P_uri_owl_DatatypeProperty-{F}(V4), P_uri_owl_sameAs-{F}(V5), P_uri_owl_InverseFunctionalProperty-{F}(V6), iext-{F}(V0,V7,V4), V3 == V7 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #67: mergings( V1 == V7, V7 == V2; #64 ), references = 4, size of lhs = 6:
% 0.18/0.45     P_uri_owl_sameAs-{F}(V0), P_uri_rdf_type-{F}(V0), P_uri_owl_InverseFunctionalProperty-{F}(V1), P_uri_ex_bob-{F}(V2), P_uri_ex_robert-{F}(V3), P_uri_foaf_mbox_sha1sum-{F}(V4) | P_uri_owl_DatatypeProperty-{T}(V4)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #74: mergings( V2 == V9, V9 == V3; #70 ), references = 1, size of lhs = 9:
% 0.18/0.45     P_uri_owl_sameAs-{F}(V0), P_uri_rdf_type-{F}(V0), P_uri_owl_InverseFunctionalProperty-{F}(V1), P_uri_ex_bob-{F}(V2), P_uri_ex_robert-{F}(V3), P_uri_foaf_mbox_sha1sum-{F}(V4), V4 == V1, P_uri_owl_DatatypeProperty-{F}(V5), P_dat_str_xyz-{F}(V6) | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #78: mergings( V2 == V9, V3 == V10, V4 == V11; #71 ), references = 1, size of lhs = 11:
% 0.18/0.45     pppp0-{F}(V0), P_uri_rdf_type-{F}(V0), P_uri_ex_bob-{F}(V1), P_uri_ex_robert-{F}(V2), P_uri_foaf_mbox_sha1sum-{F}(V3), P_uri_owl_DatatypeProperty-{F}(V4), P_dat_str_xyz-{F}(V5), P_uri_owl_sameAs-{F}(V6), P_uri_owl_InverseFunctionalProperty-{F}(V7), iext-{F}(V0,V8,V7), V3 == V8 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #83: mergings( V1 == V8, V8 == V2; #79 ), references = 1, size of lhs = 8:
% 0.18/0.45     P_uri_owl_sameAs-{F}(V0), P_uri_rdf_type-{F}(V0), P_uri_owl_InverseFunctionalProperty-{F}(V1), P_uri_ex_bob-{F}(V2), P_uri_ex_robert-{F}(V3), P_uri_foaf_mbox_sha1sum-{F}(V4), V4 == V1, P_uri_owl_DatatypeProperty-{F}(V5) | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #87: mergings( V1 == V8, V2 == V9, V3 == V10; #80 ), references = 1, size of lhs = 10:
% 0.18/0.45     pppp0-{F}(V0), P_uri_rdf_type-{F}(V0), P_uri_ex_bob-{F}(V1), P_uri_ex_robert-{F}(V2), P_uri_foaf_mbox_sha1sum-{F}(V3), P_uri_owl_DatatypeProperty-{F}(V4), P_uri_owl_sameAs-{F}(V5), P_uri_owl_InverseFunctionalProperty-{F}(V6), iext-{F}(V0,V7,V6), V3 == V7 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #100: mergings( V1 == V6, V6 == V7, V7 == V12, V2 == V12, V12 == V8, V3 == V9, V4 == V10, V5 == V11; #90 ), references = 2, size of lhs = 5:
% 0.18/0.45     P_uri_owl_sameAs-{F}(V0), P_uri_rdf_type-{F}(V0), P_uri_owl_InverseFunctionalProperty-{F}(V1), P_uri_ex_bob-{F}(V2), P_uri_ex_robert-{F}(V3) | P_uri_foaf_mbox_sha1sum-{T}(V1)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #111: mergings( V1 == V6, V6 == V7, V7 == V12, V12 == V2, V2 == V8, V8 == V13, V3 == V9, V9 == V14, V4 == V10, V5 == V11; #91 ), references = 1, size of lhs = 7:
% 0.18/0.45     pppp0-{F}(V0), P_uri_rdf_type-{F}(V0), P_uri_owl_sameAs-{F}(V0), P_uri_ex_bob-{F}(V1), P_uri_ex_robert-{F}(V2), P_uri_owl_InverseFunctionalProperty-{F}(V3), iext-{F}(V0,V4,V3) | P_uri_foaf_mbox_sha1sum-{T}(V4)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #118: mergings( V2 == V9, V3 == V7; #115 ), references = 1, size of lhs = 8:
% 0.18/0.45     P_uri_owl_InverseFunctionalProperty-{F}(V0), P_uri_ex_bob-{F}(V1), P_uri_ex_robert-{F}(V2), P_uri_foaf_mbox_sha1sum-{F}(V3), P_uri_owl_sameAs-{F}(V3), P_uri_owl_DatatypeProperty-{F}(V4), P_dat_str_xyz-{F}(V5), P_uri_rdf_type-{F}(V6) | P_literal_plain-{T}(V5,V1)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #135: mergings( V1 == V8, V8 == V9, V9 == V16, V2 == V6, V6 == V10, V10 == V14, V3 == V11, V4 == V12, V5 == V13, V7 == V15; #123 ), references = 1, size of lhs = 8:
% 0.18/0.45     P_uri_owl_InverseFunctionalProperty-{F}(V0), P_uri_ex_bob-{F}(V1), P_uri_ex_robert-{F}(V2), V2 == V1, P_uri_foaf_mbox_sha1sum-{F}(V3), P_uri_owl_sameAs-{F}(V3), P_uri_owl_DatatypeProperty-{F}(V4), P_uri_rdf_type-{F}(V5) | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #148: mergings( V1 == V8, V8 == V9, V9 == V16, V2 == V6, V6 == V10, V10 == V17, V3 == V11, V11 == V18, V4 == V12, V5 == V13, V17 == V14, V7 == V15; #124 ), references = 1, size of lhs = 10:
% 0.18/0.45     P_uri_ex_bob-{F}(V0), P_uri_ex_robert-{F}(V1), P_uri_foaf_mbox_sha1sum-{F}(V2), pppp0-{F}(V2), P_uri_owl_sameAs-{F}(V2), P_uri_owl_DatatypeProperty-{F}(V3), P_uri_rdf_type-{F}(V4), P_uri_owl_InverseFunctionalProperty-{F}(V5), iext-{F}(V2,V6,V0), V1 == V6 | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #176: mergings( V1 == V5, V5 == V6, V6 == V10, V10 == V11, V11 == V14, V14 == V18, V18 == V19, V19 == V23, V2 == V7, V7 == V8, V8 == V23, V23 == V15, V15 == V20, V3 == V20, V20 == V12, V12 == V16, V16 == V21, V4 == V9, V9 == V13, V13 == V17, V17 == V22; #153 ), references = 2, size of lhs = 4:
% 0.18/0.45     P_uri_owl_sameAs-{F}(V0), P_uri_owl_InverseFunctionalProperty-{F}(V0), P_uri_rdf_type-{F}(V0), P_uri_ex_bob-{F}(V1) | P_uri_ex_robert-{T}(V1)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #200: mergings( V1 == V5, V5 == V6, V6 == V10, V10 == V11, V11 == V14, V14 == V18, V18 == V19, V19 == V23, V2 == V7, V7 == V8, V8 == V23, V23 == V15, V15 == V20, V20 == V24, V3 == V24, V24 == V12, V12 == V16, V16 == V21, V21 == V25, V4 == V9, V9 == V13, V13 == V17, V17 == V22; #154 ), references = 1, size of lhs = 6:
% 0.18/0.45     pppp0-{F}(V0), P_uri_rdf_type-{F}(V0), P_uri_owl_sameAs-{F}(V0), P_uri_owl_InverseFunctionalProperty-{F}(V0), P_uri_ex_bob-{F}(V1), iext-{F}(V0,V2,V1) | P_uri_ex_robert-{T}(V2)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #209: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #204 ), references = 1, size of lhs = 3:
% 0.18/0.45     P_uri_rdf_type-{F}(V0), P_uri_owl_sameAs-{F}(V0), P_uri_owl_InverseFunctionalProperty-{F}(V0) | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #222: mergings( V2 == V8, V8 == V15, V3 == V9, V9 == V16, V4 == V10, V10 == V17, V5 == V11, V6 == V12, V7 == V14; #212 ), references = 3, size of lhs = 10:
% 0.18/0.45     P_uri_ex_bob-{F}(V0), P_uri_ex_robert-{F}(V1), V0 == V1, P_uri_foaf_mbox_sha1sum-{F}(V2), pppp0-{F}(V2), P_uri_owl_DatatypeProperty-{F}(V3), P_dat_str_xyz-{F}(V4), P_uri_rdf_type-{F}(V5), P_uri_owl_sameAs-{F}(V6), P_uri_owl_InverseFunctionalProperty-{F}(V7) | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #233: mergings( V1 == V7, V7 == V14, V2 == V8, V8 == V15, V3 == V9, V9 == V16, V4 == V10, V5 == V11, V6 == V13; #223 ), references = 3, size of lhs = 9:
% 0.18/0.45     P_uri_ex_bob-{F}(V0), P_uri_ex_robert-{F}(V1), V0 == V1, P_uri_foaf_mbox_sha1sum-{F}(V2), pppp0-{F}(V2), P_uri_owl_DatatypeProperty-{F}(V3), P_uri_rdf_type-{F}(V4), P_uri_owl_sameAs-{F}(V5), P_uri_owl_InverseFunctionalProperty-{F}(V6) | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #251: mergings( V1 == V4, V4 == V7, V7 == V11, V11 == V15, V15 == V8, V8 == V12, V12 == V16, V2 == V5, V5 == V9, V9 == V13, V13 == V17, V3 == V6, V6 == V10, V10 == V14; #236 ), references = 2, size of lhs = 5:
% 0.18/0.45     pppp0-{F}(V0), P_uri_owl_InverseFunctionalProperty-{F}(V0), P_uri_ex_bob-{F}(V1), P_uri_rdf_type-{F}(V2), P_uri_owl_sameAs-{F}(V2) | P_uri_ex_robert-{T}(V1)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #260: mergings( V1 == V3, V3 == V4, V4 == V5, V2 == V6; #255 ), references = 1, size of lhs = 4:
% 0.18/0.45     pppp0-{F}(V0), P_uri_owl_InverseFunctionalProperty-{F}(V0), P_uri_rdf_type-{F}(V1), P_uri_owl_sameAs-{F}(V1) | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #272: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V6, V6 == V7, V4 == V7, V7 == V8; #264 ), references = 1, size of lhs = 2:
% 0.18/0.45     P_uri_rdf_type-{F}(V0), P_uri_owl_sameAs-{F}(V0) | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #296: mergings( V7 == V8, V8 == V14, V2 == V9, V9 == V15, V3 == V6, V6 == V16, V4 == V11, V5 == V12, V16 == V13; #284 ), references = 1, size of lhs = 9:
% 0.18/0.45     P_dat_str_xyz-{F}(V0), P_uri_foaf_mbox_sha1sum-{F}(V1), P_uri_ex_bob-{F}(V2), P_uri_ex_robert-{F}(V3), V2 == V3, P_uri_owl_DatatypeProperty-{F}(V4), P_uri_owl_InverseFunctionalProperty-{F}(V4), P_uri_rdf_type-{F}(V5), P_uri_owl_sameAs-{F}(V6) | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #307: mergings( V7 == V8, V8 == V15, V2 == V9, V9 == V16, V3 == V6, V6 == V17, V4 == V11, V5 == V12, V17 == V13, V0 == V14; #285 ), references = 1, size of lhs = 9:
% 0.18/0.45     P_uri_foaf_mbox_sha1sum-{F}(V0), P_uri_ex_bob-{F}(V1), P_uri_ex_robert-{F}(V2), V1 == V2, P_uri_owl_DatatypeProperty-{F}(V3), P_uri_owl_InverseFunctionalProperty-{F}(V3), P_dat_str_xyz-{F}(V4), P_uri_rdf_type-{F}(V5), P_uri_owl_sameAs-{F}(V6) | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #326: mergings( V7 == V13, V13 == V14, V14 == V21, V21 == V23, V2 == V8, V8 == V15, V15 == V22, V22 == V24, V3 == V6, V6 == V9, V9 == V16, V16 == V25, V4 == V10, V10 == V17, V5 == V11, V11 == V18, V25 == V12, V12 == V20; #286 ), references = 1, size of lhs = 9:
% 0.18/0.45     P_uri_ex_bob-{F}(V0), P_uri_ex_robert-{F}(V1), V0 == V1, P_uri_foaf_mbox_sha1sum-{F}(V2), P_uri_owl_DatatypeProperty-{F}(V3), P_uri_owl_InverseFunctionalProperty-{F}(V3), P_dat_str_xyz-{F}(V4), P_uri_rdf_type-{F}(V5), P_uri_owl_sameAs-{F}(V6) | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #339: mergings( V6 == V7, V7 == V13, V1 == V8, V8 == V14, V2 == V5, V5 == V15, V3 == V10, V4 == V11, V15 == V12; #327 ), references = 1, size of lhs = 8:
% 0.18/0.45     P_uri_foaf_mbox_sha1sum-{F}(V0), P_uri_ex_bob-{F}(V1), P_uri_ex_robert-{F}(V2), V1 == V2, P_uri_owl_DatatypeProperty-{F}(V3), P_uri_owl_InverseFunctionalProperty-{F}(V3), P_uri_rdf_type-{F}(V4), P_uri_owl_sameAs-{F}(V5) | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #349: mergings( V6 == V7, V7 == V13, V1 == V8, V8 == V14, V2 == V5, V5 == V15, V3 == V10, V4 == V11, V15 == V12; #328 ), references = 1, size of lhs = 8:
% 0.18/0.45     P_uri_foaf_mbox_sha1sum-{F}(V0), P_uri_ex_bob-{F}(V1), P_uri_ex_robert-{F}(V2), V1 == V2, P_uri_owl_DatatypeProperty-{F}(V3), P_uri_owl_InverseFunctionalProperty-{F}(V3), P_uri_rdf_type-{F}(V4), P_uri_owl_sameAs-{F}(V5) | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #368: mergings( V6 == V12, V12 == V13, V13 == V20, V20 == V22, V1 == V7, V7 == V14, V14 == V21, V21 == V23, V2 == V5, V5 == V8, V8 == V15, V15 == V24, V3 == V9, V9 == V16, V4 == V10, V10 == V17, V24 == V11, V11 == V19; #329 ), references = 1, size of lhs = 8:
% 0.18/0.45     P_uri_ex_bob-{F}(V0), P_uri_ex_robert-{F}(V1), V0 == V1, P_uri_foaf_mbox_sha1sum-{F}(V2), P_uri_owl_DatatypeProperty-{F}(V3), P_uri_owl_InverseFunctionalProperty-{F}(V3), P_uri_rdf_type-{F}(V4), P_uri_owl_sameAs-{F}(V5) | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #391: mergings( V6 == V7, V7 == V14, V2 == V8, V8 == V15, V9 == V16, V3 == V11, V4 == V12, V5 == V13; #380 ), references = 1, size of lhs = 9:
% 0.18/0.45     P_dat_str_xyz-{F}(V0), P_uri_foaf_mbox_sha1sum-{F}(V1), P_uri_ex_bob-{F}(V2), P_uri_ex_robert-{F}(V3), V2 == V3, P_uri_owl_DatatypeProperty-{F}(V4), P_uri_rdf_type-{F}(V5), P_uri_owl_sameAs-{F}(V6), P_uri_owl_InverseFunctionalProperty-{F}(V7) | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #401: mergings( V6 == V7, V7 == V15, V2 == V8, V8 == V16, V9 == V17, V3 == V11, V4 == V12, V5 == V13, V0 == V14; #381 ), references = 1, size of lhs = 9:
% 0.18/0.45     P_uri_foaf_mbox_sha1sum-{F}(V0), P_uri_ex_bob-{F}(V1), P_uri_ex_robert-{F}(V2), V1 == V2, P_uri_owl_DatatypeProperty-{F}(V3), P_dat_str_xyz-{F}(V4), P_uri_rdf_type-{F}(V5), P_uri_owl_sameAs-{F}(V6), P_uri_owl_InverseFunctionalProperty-{F}(V7) | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #419: mergings( V6 == V12, V12 == V13, V13 == V21, V21 == V23, V2 == V7, V7 == V14, V14 == V22, V22 == V24, V8 == V15, V15 == V19, V19 == V25, V3 == V9, V9 == V16, V4 == V10, V10 == V17, V5 == V11, V11 == V20; #382 ), references = 1, size of lhs = 9:
% 0.18/0.45     P_uri_ex_bob-{F}(V0), P_uri_ex_robert-{F}(V1), V0 == V1, P_uri_foaf_mbox_sha1sum-{F}(V2), P_uri_owl_DatatypeProperty-{F}(V3), P_dat_str_xyz-{F}(V4), P_uri_rdf_type-{F}(V5), P_uri_owl_sameAs-{F}(V6), P_uri_owl_InverseFunctionalProperty-{F}(V7) | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #431: mergings( V5 == V6, V6 == V13, V1 == V7, V7 == V14, V8 == V15, V2 == V10, V3 == V11, V4 == V12; #420 ), references = 1, size of lhs = 8:
% 0.18/0.45     P_uri_foaf_mbox_sha1sum-{F}(V0), P_uri_ex_bob-{F}(V1), P_uri_ex_robert-{F}(V2), V1 == V2, P_uri_owl_DatatypeProperty-{F}(V3), P_uri_rdf_type-{F}(V4), P_uri_owl_sameAs-{F}(V5), P_uri_owl_InverseFunctionalProperty-{F}(V6) | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #440: mergings( V5 == V6, V6 == V13, V1 == V7, V7 == V14, V8 == V15, V2 == V10, V3 == V11, V4 == V12; #421 ), references = 1, size of lhs = 8:
% 0.18/0.45     P_uri_foaf_mbox_sha1sum-{F}(V0), P_uri_ex_bob-{F}(V1), P_uri_ex_robert-{F}(V2), V1 == V2, P_uri_owl_DatatypeProperty-{F}(V3), P_uri_rdf_type-{F}(V4), P_uri_owl_sameAs-{F}(V5), P_uri_owl_InverseFunctionalProperty-{F}(V6) | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #458: mergings( V5 == V11, V11 == V12, V12 == V20, V20 == V22, V1 == V6, V6 == V13, V13 == V21, V21 == V23, V7 == V14, V14 == V18, V18 == V24, V2 == V8, V8 == V15, V3 == V9, V9 == V16, V4 == V10, V10 == V19; #422 ), references = 1, size of lhs = 8:
% 0.18/0.45     P_uri_ex_bob-{F}(V0), P_uri_ex_robert-{F}(V1), V0 == V1, P_uri_foaf_mbox_sha1sum-{F}(V2), P_uri_owl_DatatypeProperty-{F}(V3), P_uri_rdf_type-{F}(V4), P_uri_owl_sameAs-{F}(V5), P_uri_owl_InverseFunctionalProperty-{F}(V6) | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #469: mergings( V4 == V5, V5 == V11, V1 == V6, V6 == V12, V7 == V13, V2 == V9, V3 == V10; #459 ), references = 1, size of lhs = 7:
% 0.18/0.45     P_uri_foaf_mbox_sha1sum-{F}(V0), P_uri_ex_bob-{F}(V1), P_uri_ex_robert-{F}(V2), V1 == V2, P_uri_rdf_type-{F}(V3), P_uri_owl_sameAs-{F}(V4), P_uri_owl_InverseFunctionalProperty-{F}(V5) | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #480: mergings( V4 == V5, V5 == V10, V1 == V6, V6 == V11, V7 == V12, V2 == V8, V3 == V9; #470 ), references = 1, size of lhs = 6:
% 0.18/0.45     P_uri_ex_bob-{F}(V0), P_uri_ex_robert-{F}(V1), V0 == V1, P_uri_rdf_type-{F}(V2), P_uri_owl_sameAs-{F}(V3), P_uri_owl_InverseFunctionalProperty-{F}(V4) | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #490: mergings( V3 == V4, V4 == V8, V1 == V5, V5 == V9, V6 == V10, V2 == V7; #481 ), references = 2, size of lhs = 4:
% 0.18/0.45     P_uri_ex_bob-{F}(V0), P_uri_rdf_type-{F}(V1), P_uri_owl_sameAs-{F}(V2), P_uri_owl_InverseFunctionalProperty-{F}(V3) | P_uri_ex_robert-{T}(V0)
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #499: mergings( V1 == V2, V2 == V5, V3 == V6, V4 == V7; #494 ), references = 1, size of lhs = 3:
% 0.18/0.45     P_uri_rdf_type-{F}(V0), P_uri_owl_sameAs-{F}(V1), P_uri_owl_InverseFunctionalProperty-{F}(V2) | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #504: mergings( V1 == V2, V2 == V4, V3 == V5; #500 ), references = 1, size of lhs = 2:
% 0.18/0.45     P_uri_rdf_type-{F}(V0), P_uri_owl_sameAs-{F}(V1) | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #508: mergings( V1 == V2, V2 == V3; #505 ), references = 1, size of lhs = 1:
% 0.18/0.45     P_uri_rdf_type-{F}(V0) | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  #510: exists( #20, #505 ), references = 1, size of lhs = 0:
% 0.18/0.45     FALSE | FALSE
% 0.18/0.45        (used 0 times, uses = {})
% 0.18/0.45  
% 0.18/0.45  number of learnt formulas = 41
% 0.18/0.45  
% 0.18/0.45  
% 0.18/0.45  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  
% 0.18/0.45  randbase = 1
%------------------------------------------------------------------------------