TSTP Solution File: GEO087+1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO087+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 06:01:40 EDT 2022
% Result : Theorem 5.27s 5.45s
% Output : Refutation 5.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO087+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 17:17:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 5.27/5.45 GeoParameters:
% 5.27/5.45
% 5.27/5.45 tptp_input = 1
% 5.27/5.45 tptp_output = 0
% 5.27/5.45 nonempty = 1
% 5.27/5.45 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.27/5.45 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 5.27/5.45
% 5.27/5.45
% 5.27/5.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.27/5.45 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.27/5.45
% 5.27/5.45 RuleSystem INPUT:
% 5.27/5.45
% 5.27/5.45 Initial Rules:
% 5.27/5.45 #0: input, references = 4, size of lhs = 1:
% 5.27/5.45 part_of-{F}(V1,V0) | pppp0-{T}(V1,V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #1: input, references = 4, size of lhs = 1:
% 5.27/5.45 pppp0-{F}(V1,V0) | part_of-{T}(V1,V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #2: input, references = 4, size of lhs = 2:
% 5.27/5.45 pppp0-{F}(V0,V1), incident_c-{F}(V2,V0) | incident_c-{T}(V2,V1)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #3: input, references = 5, size of lhs = 2:
% 5.27/5.45 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp25-{T}(V0,V1)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #4: input, references = 5, size of lhs = 1:
% 5.27/5.45 pppp25-{F}(V0,V1) | EXISTS V2: pppp8-{T}(V0,V1,V2)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #5: input, references = 5, size of lhs = 2:
% 5.27/5.45 pppp8-{F}(V0,V1,V2), incident_c-{F}(V2,V1) | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #6: input, references = 5, size of lhs = 1:
% 5.27/5.45 pppp8-{F}(V0,V1,V2) | incident_c-{T}(V2,V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #7: input, references = 4, size of lhs = 1:
% 5.27/5.45 P_sum-{F}(V1,V2,V3) | pppp2-{T}(V1,V3,V2)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #8: input, references = 3, size of lhs = 3:
% 5.27/5.45 P_sum-{F}(V1,V2,V3), pppp2-{F}(V1,V0,V2), V0 == V3 | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #9: input, references = 3, size of lhs = 2:
% 5.27/5.45 pppp2-{F}(V0,V1,V2), incident_c-{F}(V3,V1) | pppp1-{T}(V0,V2,V3)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #10: input, references = 4, size of lhs = 2:
% 5.27/5.45 pppp2-{F}(V0,V1,V2), pppp1-{F}(V0,V2,V3) | incident_c-{T}(V3,V1)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #11: input, references = 5, size of lhs = 3:
% 5.27/5.45 #-{F} V0, #-{F} V1, #-{F} V2 | pppp2-{T}(V0,V1,V2), pppp26-{T}(V0,V1,V2)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #12: input, references = 3, size of lhs = 1:
% 5.27/5.45 pppp26-{F}(V0,V1,V2) | EXISTS V3: pppp9-{T}(V0,V1,V2,V3)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #13: input, references = 3, size of lhs = 3:
% 5.27/5.45 pppp9-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V2,V3), incident_c-{F}(V3,V1) | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #14: input, references = 3, size of lhs = 1:
% 5.27/5.45 pppp9-{F}(V0,V1,V2,V3) | incident_c-{T}(V3,V1), pppp1-{T}(V0,V2,V3)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #15: input, references = 3, size of lhs = 1:
% 5.27/5.45 pppp1-{F}(V0,V1,V2) | incident_c-{T}(V2,V0), incident_c-{T}(V2,V1)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #16: input, references = 4, size of lhs = 2:
% 5.27/5.45 #-{F} V1, incident_c-{F}(V2,V0) | pppp1-{T}(V0,V1,V2)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #17: input, references = 3, size of lhs = 2:
% 5.27/5.45 #-{F} V0, incident_c-{F}(V2,V1) | pppp1-{T}(V0,V1,V2)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #18: input, references = 3, size of lhs = 1:
% 5.27/5.45 end_point-{F}(V0,V1) | pppp3-{T}(V1,V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #19: input, references = 4, size of lhs = 1:
% 5.27/5.45 pppp3-{F}(V1,V0) | end_point-{T}(V0,V1)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #20: input, references = 3, size of lhs = 1:
% 5.27/5.45 pppp3-{F}(V0,V1) | incident_c-{T}(V1,V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #21: input, references = 3, size of lhs = 5:
% 5.27/5.45 pppp3-{F}(V0,V1), part_of-{F}(V2,V0), incident_c-{F}(V1,V2), part_of-{F}(V3,V0), incident_c-{F}(V1,V3) | part_of-{T}(V3,V2), part_of-{T}(V2,V3)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #22: input, references = 4, size of lhs = 1:
% 5.27/5.45 incident_c-{F}(V1,V0) | pppp3-{T}(V0,V1), pppp27-{T}(V0,V1)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #23: input, references = 3, size of lhs = 1:
% 5.27/5.45 pppp27-{F}(V0,V1) | EXISTS V2: pppp11-{T}(V0,V1,V2)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #24: input, references = 3, size of lhs = 1:
% 5.27/5.45 pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V3,V0,V1,V2)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #25: input, references = 3, size of lhs = 1:
% 5.27/5.45 pppp11-{F}(V0,V1,V2) | incident_c-{T}(V1,V2)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #26: input, references = 3, size of lhs = 1:
% 5.27/5.45 pppp11-{F}(V0,V1,V2) | part_of-{T}(V2,V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #27: input, references = 3, size of lhs = 2:
% 5.27/5.45 pppp10-{F}(V0,V1,V2,V3), part_of-{F}(V3,V0) | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #28: input, references = 3, size of lhs = 2:
% 5.27/5.45 pppp10-{F}(V0,V1,V2,V3), part_of-{F}(V0,V3) | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #29: input, references = 3, size of lhs = 1:
% 5.27/5.45 pppp10-{F}(V0,V1,V2,V3) | incident_c-{T}(V2,V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #30: input, references = 3, size of lhs = 1:
% 5.27/5.45 pppp10-{F}(V0,V1,V2,V3) | part_of-{T}(V0,V1)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #31: input, references = 4, size of lhs = 1:
% 5.27/5.45 inner_point-{F}(V0,V1) | pppp4-{T}(V1,V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #32: input, references = 3, size of lhs = 1:
% 5.27/5.45 pppp4-{F}(V1,V0) | inner_point-{T}(V0,V1)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #33: input, references = 4, size of lhs = 1:
% 5.27/5.45 pppp4-{F}(V0,V1) | incident_c-{T}(V1,V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #34: input, references = 9, size of lhs = 2:
% 5.27/5.45 pppp4-{F}(V0,V1), end_point-{F}(V1,V0) | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #35: input, references = 4, size of lhs = 1:
% 5.27/5.45 incident_c-{F}(V1,V0) | pppp4-{T}(V0,V1), end_point-{T}(V1,V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #36: input, references = 13, size of lhs = 1:
% 5.27/5.45 meet-{F}(V0,V1,V2) | pppp5-{T}(V2,V1,V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #37: input, references = 3, size of lhs = 1:
% 5.27/5.45 pppp5-{F}(V2,V1,V0) | meet-{T}(V0,V1,V2)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #38: input, references = 10, size of lhs = 3:
% 5.27/5.45 #-{F} V0, #-{F} V1, #-{F} V2 | pppp13-{T}(V0,V1,V2)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #39: input, references = 4, size of lhs = 3:
% 5.27/5.45 pppp13-{F}(V0,V1,V2), incident_c-{F}(V2,V1), incident_c-{F}(V2,V0) | pppp5-{T}(V0,V1,V2), pppp28-{T}(V0,V1)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #40: input, references = 3, size of lhs = 1:
% 5.27/5.45 pppp28-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V0,V1,V2)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #41: input, references = 10, size of lhs = 4:
% 5.27/5.45 pppp13-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V2), incident_c-{F}(V3,V1), incident_c-{F}(V3,V0) | end_point-{T}(V3,V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #42: input, references = 7, size of lhs = 4:
% 5.27/5.45 pppp13-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V2), incident_c-{F}(V3,V1), incident_c-{F}(V3,V0) | end_point-{T}(V3,V1)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #43: input, references = 7, size of lhs = 2:
% 5.27/5.45 pppp13-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V2) | incident_c-{T}(V2,V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #44: input, references = 5, size of lhs = 2:
% 5.27/5.45 pppp13-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V2) | incident_c-{T}(V2,V1)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #45: input, references = 3, size of lhs = 3:
% 5.27/5.45 pppp12-{F}(V0,V1,V2), end_point-{F}(V2,V1), end_point-{F}(V2,V0) | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #46: input, references = 3, size of lhs = 1:
% 5.27/5.45 pppp12-{F}(V0,V1,V2) | incident_c-{T}(V2,V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #47: input, references = 3, size of lhs = 1:
% 5.27/5.45 pppp12-{F}(V0,V1,V2) | incident_c-{T}(V2,V1)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #48: input, references = 3, size of lhs = 1:
% 5.27/5.45 closed-{F}(V0) | pppp6-{T}(V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #49: input, references = 3, size of lhs = 1:
% 5.27/5.45 pppp6-{F}(V0) | closed-{T}(V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #50: input, references = 6, size of lhs = 2:
% 5.27/5.45 pppp6-{F}(V0), end_point-{F}(V1,V0) | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #51: input, references = 5, size of lhs = 1:
% 5.27/5.45 #-{F} V0 | pppp6-{T}(V0), pppp29-{T}(V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #52: input, references = 4, size of lhs = 1:
% 5.27/5.45 pppp29-{F}(V0) | EXISTS V1: pppp14-{T}(V0,V1)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #53: input, references = 4, size of lhs = 1:
% 5.27/5.45 pppp14-{F}(V0,V1) | end_point-{T}(V1,V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #54: input, references = 5, size of lhs = 1:
% 5.27/5.45 open-{F}(V0) | pppp7-{T}(V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #55: input, references = 3, size of lhs = 1:
% 5.27/5.45 pppp7-{F}(V0) | open-{T}(V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #56: input, references = 4, size of lhs = 1:
% 5.27/5.45 pppp7-{F}(V0) | EXISTS V1: pppp15-{T}(V0,V1)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #57: input, references = 3, size of lhs = 1:
% 5.27/5.45 end_point-{F}(V1,V0) | pppp7-{T}(V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #58: input, references = 4, size of lhs = 1:
% 5.27/5.45 pppp15-{F}(V0,V1) | end_point-{T}(V1,V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #59: input, references = 5, size of lhs = 2:
% 5.27/5.45 part_of-{F}(V0,V1), V0 == V1 | open-{T}(V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #60: input, references = 3, size of lhs = 6:
% 5.27/5.45 end_point-{F}(V3,V2), end_point-{F}(V3,V0), end_point-{F}(V3,V1), part_of-{F}(V2,V4), part_of-{F}(V0,V4), part_of-{F}(V1,V4) | part_of-{T}(V0,V1), part_of-{T}(V1,V0), part_of-{T}(V2,V0), part_of-{T}(V0,V2), part_of-{T}(V2,V1), part_of-{T}(V1,V2)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #61: input, references = 4, size of lhs = 1:
% 5.27/5.45 #-{F} V0 | EXISTS V1: pppp16-{T}(V0,V1)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #62: input, references = 4, size of lhs = 1:
% 5.27/5.45 pppp16-{F}(V0,V1) | inner_point-{T}(V1,V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #63: input, references = 3, size of lhs = 1:
% 5.27/5.45 inner_point-{F}(V1,V0) | EXISTS V2: pppp18-{T}(V0,V1,V2)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #64: input, references = 3, size of lhs = 1:
% 5.27/5.45 pppp18-{F}(V0,V1,V2) | EXISTS V3: pppp17-{T}(V2,V0,V1,V3)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #65: input, references = 3, size of lhs = 3:
% 5.27/5.45 pppp17-{F}(V0,V1,V2,V3), P_sum-{F}(V0,V3,V4), V1 == V4 | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #66: input, references = 3, size of lhs = 2:
% 5.27/5.45 pppp17-{F}(V0,V1,V2,V3), P_sum-{F}(V0,V3,V4) | meet-{T}(V2,V0,V3)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #67: input, references = 8, size of lhs = 6:
% 5.27/5.45 end_point-{F}(V2,V3), end_point-{F}(V0,V3), end_point-{F}(V1,V3), V0 == V1, V2 == V0, V2 == V1 | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #68: input, references = 6, size of lhs = 1:
% 5.27/5.45 end_point-{F}(V1,V0) | EXISTS V2: pppp19-{T}(V0,V1,V2)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #69: input, references = 4, size of lhs = 1:
% 5.27/5.45 pppp19-{F}(V0,V2,V2) | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #70: input, references = 6, size of lhs = 1:
% 5.27/5.45 pppp19-{F}(V0,V1,V2) | end_point-{T}(V2,V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #71: input, references = 3, size of lhs = 4:
% 5.27/5.45 P_sum-{F}(V0,V1,V2), end_point-{F}(V3,V0), meet-{F}(V4,V0,V1), closed-{F}(V2) | meet-{T}(V3,V0,V1)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #72: input, references = 3, size of lhs = 2:
% 5.27/5.45 P_sum-{F}(V0,V1,V2), meet-{F}(V3,V0,V1) | EXISTS V4: pppp20-{T}(V2,V4)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #73: input, references = 3, size of lhs = 2:
% 5.27/5.45 pppp20-{F}(V0,V1), V1 == V0 | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #74: input, references = 3, size of lhs = 3:
% 5.27/5.45 #-{F} V0, #-{F} V1, V0 == V1 | EXISTS V2: pppp21-{T}(V1,V0,V2)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #75: input, references = 3, size of lhs = 3:
% 5.27/5.45 pppp21-{F}(V0,V1,V2), incident_c-{F}(V2,V0), incident_c-{F}(V2,V1) | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #76: input, references = 3, size of lhs = 1:
% 5.27/5.45 pppp21-{F}(V0,V1,V2) | incident_c-{T}(V2,V1), incident_c-{T}(V2,V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #77: input, references = 4, size of lhs = 0:
% 5.27/5.45 FALSE | EXISTS V0: pppp24-{T}(V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #78: input, references = 5, size of lhs = 1:
% 5.27/5.45 pppp24-{F}(V0) | EXISTS V1: pppp23-{T}(V0,V1)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #79: input, references = 7, size of lhs = 1:
% 5.27/5.45 pppp23-{F}(V0,V1) | EXISTS V2: pppp22-{T}(V0,V1,V2)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #80: input, references = 5, size of lhs = 1:
% 5.27/5.45 pppp23-{F}(V0,V1) | part_of-{T}(V0,V1)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #81: input, references = 13, size of lhs = 1:
% 5.27/5.45 pppp22-{F}(V0,V1,V2) | meet-{T}(V2,V0,V1)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #82: input, references = 4, size of lhs = 2:
% 5.27/5.45 #-{F} V0, #-{F} V1 | EXISTS V2: P_sum-{T}(V0,V1,V2)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 number of initial rules = 83
% 5.27/5.45
% 5.27/5.45 Simplifiers:
% 5.27/5.45 #83: unsound, references = 3, size of lhs = 3:
% 5.27/5.45 P_sum-{F}(V0,V1,V2), P_sum-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #84: unsound, references = 3, size of lhs = 3:
% 5.27/5.45 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #85: unsound, references = 3, size of lhs = 3:
% 5.27/5.45 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #86: unsound, references = 3, size of lhs = 3:
% 5.27/5.45 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #87: unsound, references = 3, size of lhs = 3:
% 5.27/5.45 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V4,V1,V2,V7), V3 == V7 | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #88: unsound, references = 3, size of lhs = 3:
% 5.27/5.45 pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #89: unsound, references = 3, size of lhs = 3:
% 5.27/5.45 pppp12-{F}(V0,V1,V2), pppp12-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #90: unsound, references = 3, size of lhs = 3:
% 5.27/5.45 pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #91: unsound, references = 3, size of lhs = 3:
% 5.27/5.45 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #92: unsound, references = 3, size of lhs = 3:
% 5.27/5.45 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #93: unsound, references = 3, size of lhs = 3:
% 5.27/5.45 pppp17-{F}(V0,V1,V2,V3), pppp17-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #94: unsound, references = 3, size of lhs = 3:
% 5.27/5.45 pppp17-{F}(V0,V1,V2,V3), pppp17-{F}(V4,V1,V2,V7), V0 == V4 | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #95: unsound, references = 3, size of lhs = 3:
% 5.27/5.45 pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #96: unsound, references = 3, size of lhs = 3:
% 5.27/5.45 pppp19-{F}(V0,V1,V2), pppp19-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #97: unsound, references = 3, size of lhs = 3:
% 5.27/5.45 pppp20-{F}(V0,V1), pppp20-{F}(V0,V3), V1 == V3 | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #98: unsound, references = 3, size of lhs = 3:
% 5.27/5.45 pppp21-{F}(V0,V1,V2), pppp21-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #99: unsound, references = 3, size of lhs = 3:
% 5.27/5.45 pppp22-{F}(V0,V1,V2), pppp22-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #100: unsound, references = 3, size of lhs = 3:
% 5.27/5.45 pppp22-{F}(V0,V1,V2), pppp22-{F}(V0,V4,V5), V1 == V4 | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #101: unsound, references = 3, size of lhs = 3:
% 5.27/5.45 pppp22-{F}(V0,V1,V2), pppp22-{F}(V3,V4,V5), V0 == V3 | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #102: unsound, references = 3, size of lhs = 3:
% 5.27/5.45 pppp23-{F}(V0,V1), pppp23-{F}(V0,V3), V1 == V3 | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #103: unsound, references = 3, size of lhs = 3:
% 5.27/5.45 pppp23-{F}(V0,V1), pppp23-{F}(V2,V3), V0 == V2 | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #104: unsound, references = 3, size of lhs = 3:
% 5.27/5.45 pppp24-{F}(V0), pppp24-{F}(V1), V0 == V1 | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 number of simplifiers = 22
% 5.27/5.45
% 5.27/5.45 Learnt:
% 5.27/5.45 #106: disj( #11, input ), references = 1, size of lhs = 3:
% 5.27/5.45 P_sum-{F}(V0,V1,V2), #-{F} V3, V3 == V2 | pppp26-{T}(V0,V3,V1)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #114: disj( #39, #41+#34 ), references = 1, size of lhs = 6:
% 5.27/5.45 incident_c-{F}(V0,V1), incident_c-{F}(V0,V2), pppp13-{F}(V2,V1,V0), pppp4-{F}(V2,V3), incident_c-{F}(V3,V1), incident_c-{F}(V3,V2) | pppp28-{T}(V2,V1)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #117: disj( #22, #19+#34 ), references = 1, size of lhs = 2:
% 5.27/5.45 incident_c-{F}(V0,V1), pppp4-{F}(V1,V0) | pppp27-{T}(V1,V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #126: exists( #4, #124 ), references = 1, size of lhs = 1:
% 5.27/5.45 pppp25-{F}(V0,V0) | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #128: disj( #3, exists( #4, #124 ) ), references = 1, size of lhs = 1:
% 5.27/5.45 #-{F} V0 | pppp0-{T}(V0,V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #131: disj( #35, input ), references = 1, size of lhs = 2:
% 5.27/5.45 pppp6-{F}(V0), incident_c-{F}(V1,V0) | pppp4-{T}(V0,V1)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #154: exists( #79, #152 ), references = 2, size of lhs = 2:
% 5.27/5.45 pppp6-{F}(V0), pppp23-{F}(V0,V0) | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #161: exists( #56, #158 ), references = 2, size of lhs = 2:
% 5.27/5.45 pppp7-{F}(V0), pppp6-{F}(V0) | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #166: exists( #78, #164 ), references = 1, size of lhs = 2:
% 5.27/5.45 pppp24-{F}(V0), pppp6-{F}(V0) | pppp23-{T}(V0,V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #169: disj( #51, #165+#154 ), references = 1, size of lhs = 1:
% 5.27/5.45 pppp24-{F}(V0) | pppp29-{T}(V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #187: disj( #51, exists( #56, #158 ) ), references = 1, size of lhs = 1:
% 5.27/5.45 pppp7-{F}(V0) | pppp29-{T}(V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #214: exists( #79, #212 ), references = 1, size of lhs = 4:
% 5.27/5.45 pppp23-{F}(V0,V0), end_point-{F}(V1,V0), end_point-{F}(V2,V0), V1 == V2 | pppp22-{T}(V0,V0,V1), pppp22-{T}(V0,V0,V2)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #223: disj( #213, #81+#36+#41+#34 ), references = 1, size of lhs = 7:
% 5.27/5.45 pppp23-{F}(V0,V0), end_point-{F}(V1,V0), pppp4-{F}(V0,V2), incident_c-{F}(V2,V0), pppp13-{F}(V0,V0,V3), V3 == V1, end_point-{F}(V3,V0) | pppp22-{T}(V0,V0,V1)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #224: disj( #213, #81+#36+#41+#67 ), references = 1, size of lhs = 11:
% 5.27/5.45 pppp23-{F}(V0,V0), end_point-{F}(V1,V0), incident_c-{F}(V2,V0), pppp13-{F}(V0,V0,V3), V3 == V1, end_point-{F}(V3,V0), end_point-{F}(V4,V0), V4 == V2, end_point-{F}(V5,V0), V2 == V5, V4 == V5 | pppp22-{T}(V0,V0,V1)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #239: exists( #68, #235 ), references = 1, size of lhs = 8:
% 5.27/5.45 pppp23-{F}(V0,V0), end_point-{F}(V1,V0), pppp4-{F}(V0,V2), incident_c-{F}(V2,V0), pppp13-{F}(V0,V0,V3), end_point-{F}(V3,V0), pppp4-{F}(V0,V4), incident_c-{F}(V4,V0) | pppp19-{T}(V0,V1,V3)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #245: disj( #3, #1+#59+#54+#161 ), references = 2, size of lhs = 3:
% 5.27/5.45 pppp6-{F}(V0), #-{F} V1, V0 == V1 | pppp25-{T}(V0,V1)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #287: exists( #4, #284 ), references = 2, size of lhs = 2:
% 5.27/5.45 pppp25-{F}(V0,V1), pppp2-{F}(V0,V1,V2) | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #292: exists( #82, #290 ), references = 1, size of lhs = 2:
% 5.27/5.45 pppp6-{F}(V0), #-{F} V1 | P_sum-{T}(V0,V1,V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #307: exists( #68, #305 ), references = 1, size of lhs = 4:
% 5.27/5.45 end_point-{F}(V0,V1), end_point-{F}(V2,V1), end_point-{F}(V3,V1), V2 == V3 | pppp19-{T}(V1,V0,V3), pppp19-{T}(V1,V0,V2)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #343: exists( #79, #339 ), references = 1, size of lhs = 2:
% 5.27/5.45 pppp6-{F}(V0), pppp23-{F}(V1,V0) | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #346: disj( #11, exists( #4, #284 ) ), references = 1, size of lhs = 2:
% 5.27/5.45 pppp25-{F}(V0,V1), #-{F} V2 | pppp26-{T}(V0,V1,V2)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #385: exists( #79, #383 ), references = 1, size of lhs = 4:
% 5.27/5.45 end_point-{F}(V0,V1), pppp23-{F}(V1,V2), end_point-{F}(V3,V1), V0 == V3 | pppp22-{T}(V1,V2,V0), pppp22-{T}(V1,V2,V3)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #394: disj( #384, #81+#36+#42+#34 ), references = 1, size of lhs = 8:
% 5.27/5.45 end_point-{F}(V0,V1), pppp23-{F}(V1,V2), pppp4-{F}(V1,V3), incident_c-{F}(V3,V1), incident_c-{F}(V3,V2), pppp13-{F}(V2,V1,V4), V4 == V0, end_point-{F}(V4,V1) | pppp22-{T}(V1,V2,V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #395: disj( #384, #81+#36+#42+#67 ), references = 1, size of lhs = 12:
% 5.27/5.45 end_point-{F}(V0,V1), pppp23-{F}(V1,V2), incident_c-{F}(V3,V1), incident_c-{F}(V3,V2), pppp13-{F}(V2,V1,V4), V4 == V0, end_point-{F}(V4,V1), end_point-{F}(V5,V1), V5 == V3, end_point-{F}(V6,V1), V3 == V6, V5 == V6 | pppp22-{T}(V1,V2,V0)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #410: exists( #68, #406 ), references = 1, size of lhs = 10:
% 5.27/5.45 end_point-{F}(V0,V1), pppp4-{F}(V1,V2), incident_c-{F}(V2,V1), pppp23-{F}(V1,V3), incident_c-{F}(V2,V3), pppp13-{F}(V3,V1,V4), end_point-{F}(V4,V1), pppp4-{F}(V1,V5), incident_c-{F}(V5,V1), incident_c-{F}(V5,V3) | pppp19-{T}(V1,V0,V4)
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #417: exists( #78, #415 ), references = 1, size of lhs = 4:
% 5.27/5.45 pppp24-{F}(V0), end_point-{F}(V1,V0), pppp4-{F}(V0,V2), incident_c-{F}(V2,V0) | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #422: exists( #61, #420 ), references = 1, size of lhs = 2:
% 5.27/5.45 pppp24-{F}(V0), end_point-{F}(V1,V0) | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #425: exists( #52, #423 ), references = 1, size of lhs = 2:
% 5.27/5.45 pppp29-{F}(V0), pppp24-{F}(V0) | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 #428: exists( #77, #426 ), references = 1, size of lhs = 0:
% 5.27/5.45 FALSE | FALSE
% 5.27/5.45 (used 0 times, uses = {})
% 5.27/5.45
% 5.27/5.45 number of learnt formulas = 29
% 5.27/5.45
% 5.27/5.45
% 5.27/5.45 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.27/5.45
% 5.27/5.45 randbase = 1
%------------------------------------------------------------------------------