TSTP Solution File: SWB031+2 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SWB031+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% 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  : 300s
% DateTime : Sat Jul 23 06:19:35 EDT 2022

% Result   : Unsatisfiable 0.12s 0.38s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWB031+2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34  % Computer : n026.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  : 300
% 0.12/0.34  % DateTime : Fri Jul 22 08:33:35 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.38  GeoParameters:
% 0.12/0.38  
% 0.12/0.38  tptp_input =     1
% 0.12/0.38  tptp_output =    0
% 0.12/0.38  nonempty =       1
% 0.12/0.38  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38  
% 0.12/0.38  RuleSystem INPUT:
% 0.12/0.38  
% 0.12/0.38  Initial Rules:
% 0.12/0.38  #0: input, references = 6, size of lhs = 1:
% 0.12/0.38     #-{F} V0 | ir-{T}(V0)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #1: input, references = 3, size of lhs = 2:
% 0.12/0.38     P_uri_owl_Thing-{F}(V0), icext-{F}(V0,V1) | ir-{T}(V1)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #2: input, references = 7, size of lhs = 2:
% 0.12/0.38     P_uri_owl_Thing-{F}(V0), ir-{F}(V1) | icext-{T}(V0,V1)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #3: input, references = 4, size of lhs = 3:
% 0.12/0.38     P_uri_owl_Thing-{F}(V0), P_uri_owl_Nothing-{F}(V1), icext-{F}(V1,V2) | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #4: input, references = 4, size of lhs = 9:
% 0.12/0.38     P_uri_owl_Thing-{F}(V0), P_uri_owl_Nothing-{F}(V1), P_uri_rdf_rest-{F}(V2), P_uri_rdf_nil-{F}(V3), P_uri_rdf_first-{F}(V4), P_uri_owl_oneOf-{F}(V5), iext-{F}(V2,V6,V3), iext-{F}(V4,V6,V7), iext-{F}(V5,V8,V6) | pppp0-{T}(V7,V8)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #5: input, references = 3, size of lhs = 9:
% 0.12/0.38     P_uri_owl_Thing-{F}(V0), P_uri_owl_Nothing-{F}(V1), P_uri_rdf_rest-{F}(V2), P_uri_rdf_nil-{F}(V3), P_uri_rdf_first-{F}(V4), P_uri_owl_oneOf-{F}(V5), iext-{F}(V2,V6,V3), iext-{F}(V4,V6,V7), pppp0-{F}(V7,V8) | iext-{T}(V5,V8,V6)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #6: input, references = 3, size of lhs = 7:
% 0.12/0.38     P_uri_owl_Thing-{F}(V0), P_uri_owl_Nothing-{F}(V1), P_uri_rdf_rest-{F}(V2), P_uri_rdf_nil-{F}(V3), P_uri_rdf_first-{F}(V4), P_uri_owl_oneOf-{F}(V5), pppp0-{F}(V6,V7) | ic-{T}(V7)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #7: input, references = 4, size of lhs = 9:
% 0.12/0.38     P_uri_owl_Thing-{F}(V0), P_uri_owl_Nothing-{F}(V1), P_uri_rdf_rest-{F}(V2), P_uri_rdf_nil-{F}(V3), P_uri_rdf_first-{F}(V4), P_uri_owl_oneOf-{F}(V5), pppp0-{F}(V6,V7), icext-{F}(V7,V8), V8 == V6 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #8: input, references = 3, size of lhs = 7:
% 0.12/0.38     P_uri_owl_Thing-{F}(V0), P_uri_owl_Nothing-{F}(V1), P_uri_rdf_rest-{F}(V2), P_uri_rdf_nil-{F}(V3), P_uri_rdf_first-{F}(V4), P_uri_owl_oneOf-{F}(V5), pppp0-{F}(V6,V7) | icext-{T}(V7,V6)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #9: input, references = 3, size of lhs = 8:
% 0.12/0.38     P_uri_owl_Thing-{F}(V0), P_uri_owl_Nothing-{F}(V1), P_uri_rdf_rest-{F}(V2), P_uri_rdf_nil-{F}(V3), P_uri_rdf_first-{F}(V4), P_uri_owl_oneOf-{F}(V5), #-{F} V6, ic-{F}(V7) | pppp0-{T}(V6,V7), pppp7-{T}(V6,V7)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #10: input, references = 3, size of lhs = 1:
% 0.12/0.38     pppp7-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V2,V0,V1)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #11: input, references = 3, size of lhs = 2:
% 0.12/0.38     pppp2-{F}(V1,V1,V2), icext-{F}(V2,V1) | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #12: input, references = 3, size of lhs = 2:
% 0.12/0.38     pppp2-{F}(V0,V1,V2), V0 == V1 | icext-{T}(V2,V0)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #13: input, references = 4, size of lhs = 8:
% 0.12/0.38     P_uri_owl_Thing-{F}(V0), P_uri_owl_Nothing-{F}(V1), P_uri_rdf_rest-{F}(V2), P_uri_rdf_nil-{F}(V3), P_uri_rdf_first-{F}(V4), P_uri_owl_oneOf-{F}(V5), P_uri_owl_equivalentClass-{F}(V6), iext-{F}(V6,V7,V8) | pppp1-{T}(V7,V8)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #14: input, references = 3, size of lhs = 8:
% 0.12/0.38     P_uri_owl_Thing-{F}(V0), P_uri_owl_Nothing-{F}(V1), P_uri_rdf_rest-{F}(V2), P_uri_rdf_nil-{F}(V3), P_uri_rdf_first-{F}(V4), P_uri_owl_oneOf-{F}(V5), P_uri_owl_equivalentClass-{F}(V6), pppp1-{F}(V7,V8) | iext-{T}(V6,V7,V8)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #15: input, references = 4, size of lhs = 9:
% 0.12/0.38     P_uri_owl_Thing-{F}(V0), P_uri_owl_Nothing-{F}(V1), P_uri_rdf_rest-{F}(V2), P_uri_rdf_nil-{F}(V3), P_uri_rdf_first-{F}(V4), P_uri_owl_oneOf-{F}(V5), P_uri_owl_equivalentClass-{F}(V6), #-{F} V7, #-{F} V8 | pppp4-{T}(V7,V8)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #16: input, references = 3, size of lhs = 3:
% 0.12/0.38     pppp4-{F}(V0,V1), ic-{F}(V0), ic-{F}(V1) | pppp1-{T}(V0,V1), pppp8-{T}(V0,V1)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #17: input, references = 3, size of lhs = 1:
% 0.12/0.38     pppp8-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V2,V0,V1)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #18: input, references = 3, size of lhs = 3:
% 0.12/0.38     pppp4-{F}(V0,V1), pppp1-{F}(V0,V1), icext-{F}(V1,V2) | icext-{T}(V0,V2)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #19: input, references = 4, size of lhs = 3:
% 0.12/0.38     pppp4-{F}(V0,V1), pppp1-{F}(V0,V1), icext-{F}(V0,V2) | icext-{T}(V1,V2)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #20: input, references = 3, size of lhs = 2:
% 0.12/0.38     pppp4-{F}(V0,V1), pppp1-{F}(V0,V1) | ic-{T}(V1)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #21: input, references = 3, size of lhs = 2:
% 0.12/0.38     pppp4-{F}(V0,V1), pppp1-{F}(V0,V1) | ic-{T}(V0)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #22: input, references = 3, size of lhs = 3:
% 0.12/0.38     pppp3-{F}(V0,V1,V2), icext-{F}(V2,V0), icext-{F}(V1,V0) | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #23: input, references = 3, size of lhs = 1:
% 0.12/0.38     pppp3-{F}(V0,V1,V2) | icext-{T}(V1,V0), icext-{T}(V2,V0)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #24: input, references = 4, size of lhs = 8:
% 0.12/0.38     P_uri_owl_Thing-{F}(V0), P_uri_owl_Nothing-{F}(V1), P_uri_rdf_rest-{F}(V2), P_uri_rdf_nil-{F}(V3), P_uri_rdf_first-{F}(V4), P_uri_owl_oneOf-{F}(V5), P_uri_owl_equivalentClass-{F}(V6), P_uri_ex_w-{F}(V7) | EXISTS V8: pppp6-{T}(V8,V0,V2,V3,V4,V5,V6,V7)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #25: input, references = 4, size of lhs = 1:
% 0.12/0.38     pppp6-{F}(V0,V1,V2,V3,V4,V5,V6,V7) | EXISTS V8: pppp5-{T}(V8,V0,V1,V5,V6)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #26: input, references = 4, size of lhs = 1:
% 0.12/0.38     pppp6-{F}(V0,V1,V2,V3,V4,V5,V6,V7) | iext-{T}(V2,V0,V3)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #27: input, references = 4, size of lhs = 1:
% 0.12/0.38     pppp6-{F}(V0,V1,V2,V3,V4,V5,V6,V7) | iext-{T}(V4,V0,V7)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #28: input, references = 4, size of lhs = 1:
% 0.12/0.38     pppp5-{F}(V0,V1,V2,V3,V4) | iext-{T}(V3,V0,V1)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #29: input, references = 4, size of lhs = 1:
% 0.12/0.38     pppp5-{F}(V0,V1,V2,V3,V4) | iext-{T}(V4,V2,V0)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #30: input, references = 4, size of lhs = 0:
% 0.12/0.38     FALSE | EXISTS V0: P_uri_owl_Thing-{T}(V0)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #31: input, references = 4, size of lhs = 0:
% 0.12/0.38     FALSE | EXISTS V0: P_uri_owl_Nothing-{T}(V0)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #32: input, references = 4, size of lhs = 0:
% 0.12/0.38     FALSE | EXISTS V0: P_uri_rdf_first-{T}(V0)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #33: input, references = 4, size of lhs = 0:
% 0.12/0.38     FALSE | EXISTS V0: P_uri_rdf_rest-{T}(V0)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #34: input, references = 4, size of lhs = 0:
% 0.12/0.38     FALSE | EXISTS V0: P_uri_rdf_nil-{T}(V0)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #35: input, references = 4, size of lhs = 0:
% 0.12/0.38     FALSE | EXISTS V0: P_uri_owl_oneOf-{T}(V0)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #36: input, references = 4, size of lhs = 0:
% 0.12/0.38     FALSE | EXISTS V0: P_uri_owl_equivalentClass-{T}(V0)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #37: input, references = 4, size of lhs = 0:
% 0.12/0.38     FALSE | EXISTS V0: P_uri_ex_w-{T}(V0)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  number of initial rules = 38
% 0.12/0.38  
% 0.12/0.38  Simplifiers:
% 0.12/0.38  #38: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     P_uri_owl_Thing-{F}(V0), P_uri_owl_Thing-{F}(V1), V0 == V1 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #39: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     P_uri_owl_Nothing-{F}(V0), P_uri_owl_Nothing-{F}(V1), V0 == V1 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #40: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     P_uri_rdf_rest-{F}(V0), P_uri_rdf_rest-{F}(V1), V0 == V1 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #41: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     P_uri_rdf_nil-{F}(V0), P_uri_rdf_nil-{F}(V1), V0 == V1 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #42: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     P_uri_rdf_first-{F}(V0), P_uri_rdf_first-{F}(V1), V0 == V1 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #43: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     P_uri_owl_oneOf-{F}(V0), P_uri_owl_oneOf-{F}(V1), V0 == V1 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #44: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     P_uri_owl_equivalentClass-{F}(V0), P_uri_owl_equivalentClass-{F}(V1), V0 == V1 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #45: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     P_uri_ex_w-{F}(V0), P_uri_ex_w-{F}(V1), V0 == V1 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #46: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #47: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #48: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     pppp5-{F}(V0,V1,V2,V3,V4), pppp5-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #49: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     pppp5-{F}(V0,V1,V2,V3,V4), pppp5-{F}(V5,V6,V7,V8,V9), V2 == V7 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #50: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     pppp5-{F}(V0,V1,V2,V3,V4), pppp5-{F}(V5,V6,V7,V8,V9), V3 == V8 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #51: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     pppp5-{F}(V0,V1,V2,V3,V4), pppp5-{F}(V5,V6,V7,V8,V9), V4 == V9 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #52: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     pppp6-{F}(V0,V1,V2,V3,V4,V5,V6,V7), pppp6-{F}(V8,V1,V2,V3,V4,V5,V6,V7), V0 == V8 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #53: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     pppp6-{F}(V0,V1,V2,V3,V4,V5,V6,V7), pppp6-{F}(V8,V9,V10,V11,V12,V13,V14,V15), V1 == V9 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #54: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     pppp6-{F}(V0,V1,V2,V3,V4,V5,V6,V7), pppp6-{F}(V8,V9,V10,V11,V12,V13,V14,V15), V2 == V10 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #55: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     pppp6-{F}(V0,V1,V2,V3,V4,V5,V6,V7), pppp6-{F}(V8,V9,V10,V11,V12,V13,V14,V15), V3 == V11 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #56: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     pppp6-{F}(V0,V1,V2,V3,V4,V5,V6,V7), pppp6-{F}(V8,V9,V10,V11,V12,V13,V14,V15), V4 == V12 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #57: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     pppp6-{F}(V0,V1,V2,V3,V4,V5,V6,V7), pppp6-{F}(V8,V9,V10,V11,V12,V13,V14,V15), V5 == V13 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #58: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     pppp6-{F}(V0,V1,V2,V3,V4,V5,V6,V7), pppp6-{F}(V8,V9,V10,V11,V12,V13,V14,V15), V6 == V14 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #59: unsound, references = 3, size of lhs = 3:
% 0.12/0.38     pppp6-{F}(V0,V1,V2,V3,V4,V5,V6,V7), pppp6-{F}(V8,V9,V10,V11,V12,V13,V14,V15), V7 == V15 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  number of simplifiers = 22
% 0.12/0.38  
% 0.12/0.38  Learnt:
% 0.12/0.38  #94: mergings( V9 == V15, V15 == V20, V20 == V27, V10 == V16, V16 == V21, V21 == V28, V11 == V17, V17 == V22, V22 == V29, V12 == V18, V18 == V23, V23 == V30, V13 == V19, V19 == V24, V24 == V31, V14 == V5, V5 == V25, V25 == V32, V6 == V26; #74 ), references = 1, size of lhs = 12:
% 0.12/0.38     P_uri_owl_equivalentClass-{F}(V0), P_uri_owl_Thing-{F}(V1), P_uri_owl_Nothing-{F}(V2), P_uri_rdf_rest-{F}(V3), P_uri_rdf_nil-{F}(V4), P_uri_rdf_first-{F}(V5), P_uri_owl_oneOf-{F}(V6), iext-{F}(V3,V7,V4), iext-{F}(V5,V7,V8), icext-{F}(V9,V10), V10 == V8, pppp6-{F}(V7,V9,V11,V12,V13,V6,V0,V14) | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #119: mergings( V0 == V9, V9 == V15, V15 == V17, V17 == V24, V1 == V10, V10 == V16, V16 == V18, V18 == V25, V11 == V2, V2 == V19, V19 == V26, V12 == V3, V3 == V20, V20 == V27, V13 == V4, V4 == V21, V21 == V28, V14 == V5, V5 == V22, V22 == V29, V6 == V23; #97 ), references = 2, size of lhs = 10:
% 0.12/0.38     P_uri_ex_w-{F}(V0), P_uri_owl_equivalentClass-{F}(V1), P_uri_owl_Thing-{F}(V2), P_uri_owl_Nothing-{F}(V3), P_uri_rdf_rest-{F}(V4), P_uri_rdf_nil-{F}(V5), P_uri_rdf_first-{F}(V6), P_uri_owl_oneOf-{F}(V7), icext-{F}(V2,V8), V8 == V0 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #142: mergings( V1 == V3, V3 == V10, V10 == V16, V16 == V23, V2 == V4, V4 == V11, V11 == V17, V17 == V24, V5 == V12, V12 == V18, V18 == V25, V6 == V13, V13 == V19, V19 == V26, V7 == V14, V14 == V20, V20 == V27, V8 == V15, V15 == V21, V21 == V28, V9 == V22; #120 ), references = 1, size of lhs = 8:
% 0.12/0.38     P_uri_owl_equivalentClass-{F}(V0), P_uri_owl_Thing-{F}(V1), P_uri_owl_Nothing-{F}(V2), P_uri_rdf_rest-{F}(V3), P_uri_rdf_nil-{F}(V4), P_uri_rdf_first-{F}(V5), P_uri_owl_oneOf-{F}(V6), icext-{F}(V1,V7) | P_uri_ex_w-{T}(V7)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #171: mergings( V1 == V3, V3 == V9, V9 == V15, V15 == V21, V21 == V28, V2 == V4, V4 == V10, V10 == V16, V16 == V22, V22 == V29, V5 == V11, V11 == V17, V17 == V23, V23 == V30, V6 == V12, V12 == V18, V18 == V24, V24 == V31, V7 == V13, V13 == V19, V19 == V25, V25 == V32, V8 == V14, V14 == V20, V20 == V26, V26 == V33; #144 ), references = 1, size of lhs = 9:
% 0.12/0.38     P_uri_owl_Thing-{F}(V0), icext-{F}(V0,V1), P_uri_owl_Nothing-{F}(V2), P_uri_rdf_rest-{F}(V3), P_uri_rdf_nil-{F}(V4), P_uri_rdf_first-{F}(V5), P_uri_owl_oneOf-{F}(V6), icext-{F}(V0,V7), V7 == V1 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #195: mergings( V1 == V3, V3 == V8, V8 == V13, V13 == V18, V18 == V24, V2 == V4, V4 == V9, V9 == V14, V14 == V19, V19 == V25, V5 == V10, V10 == V15, V15 == V20, V20 == V26, V6 == V11, V11 == V16, V16 == V21, V21 == V27, V7 == V12, V12 == V17, V17 == V22, V22 == V28; #172 ), references = 1, size of lhs = 8:
% 0.12/0.38     P_uri_owl_Thing-{F}(V0), icext-{F}(V0,V1), P_uri_owl_Nothing-{F}(V2), P_uri_rdf_rest-{F}(V3), P_uri_rdf_nil-{F}(V4), P_uri_rdf_first-{F}(V5), icext-{F}(V0,V6), V6 == V1 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #215: mergings( V1 == V3, V3 == V7, V7 == V11, V11 == V15, V15 == V20, V2 == V4, V4 == V8, V8 == V12, V12 == V16, V16 == V21, V5 == V9, V9 == V13, V13 == V17, V17 == V22, V6 == V10, V10 == V14, V14 == V18, V18 == V23; #196 ), references = 1, size of lhs = 7:
% 0.12/0.38     P_uri_owl_Thing-{F}(V0), icext-{F}(V0,V1), P_uri_owl_Nothing-{F}(V2), P_uri_rdf_rest-{F}(V3), P_uri_rdf_first-{F}(V4), icext-{F}(V0,V5), V5 == V1 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #231: mergings( V1 == V3, V3 == V6, V6 == V9, V9 == V12, V12 == V16, V2 == V4, V4 == V7, V7 == V10, V10 == V13, V13 == V17, V5 == V8, V8 == V11, V11 == V14, V14 == V18; #216 ), references = 1, size of lhs = 6:
% 0.12/0.38     P_uri_owl_Thing-{F}(V0), icext-{F}(V0,V1), P_uri_owl_Nothing-{F}(V2), P_uri_rdf_first-{F}(V3), icext-{F}(V0,V4), V4 == V1 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #243: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V12, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V13; #232 ), references = 2, size of lhs = 5:
% 0.12/0.38     P_uri_owl_Thing-{F}(V0), icext-{F}(V0,V1), P_uri_owl_Nothing-{F}(V2), icext-{F}(V0,V3), V3 == V1 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #252: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V7; #246 ), references = 2, size of lhs = 2:
% 0.12/0.38     P_uri_owl_Thing-{F}(V0), icext-{F}(V0,V1) | P_uri_owl_Nothing-{T}(V1)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #258: exists( #30, #256 ), references = 1, size of lhs = 1:
% 0.12/0.38     ir-{F}(V0) | P_uri_owl_Thing-{T}(V0)
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  #263: #0+#257+#2+#252+#3, references = 1, size of lhs = 1:
% 0.12/0.38     #-{F} V0 | FALSE
% 0.12/0.38        (used 0 times, uses = {})
% 0.12/0.38  
% 0.12/0.38  number of learnt formulas = 11
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38  
% 0.12/0.38  randbase = 1
%------------------------------------------------------------------------------