TSTP Solution File: GEO125+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO125+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 06:01:45 EDT 2022
% Result : Theorem 84.62s 84.82s
% Output : Refutation 84.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO125+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.32 % Computer : n028.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jul 22 17:52:28 EDT 2022
% 0.11/0.33 % CPUTime :
% 84.62/84.82 GeoParameters:
% 84.62/84.82
% 84.62/84.82 tptp_input = 1
% 84.62/84.82 tptp_output = 0
% 84.62/84.82 nonempty = 1
% 84.62/84.82 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 84.62/84.82 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 84.62/84.82
% 84.62/84.82
% 84.62/84.82 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 84.62/84.82 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 84.62/84.82
% 84.62/84.82 RuleSystem INPUT:
% 84.62/84.82
% 84.62/84.82 Initial Rules:
% 84.62/84.82 #0: input, references = 3, size of lhs = 1:
% 84.62/84.82 part_of-{F}(V1,V0) | pppp0-{T}(V1,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #1: input, references = 5, size of lhs = 1:
% 84.62/84.82 pppp0-{F}(V1,V0) | part_of-{T}(V1,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #2: input, references = 3, size of lhs = 2:
% 84.62/84.82 pppp0-{F}(V0,V1), incident_c-{F}(V2,V0) | incident_c-{T}(V2,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #3: input, references = 7, size of lhs = 2:
% 84.62/84.82 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp43-{T}(V0,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #4: input, references = 7, size of lhs = 1:
% 84.62/84.82 pppp43-{F}(V0,V1) | EXISTS V2: pppp14-{T}(V0,V1,V2)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #5: input, references = 7, size of lhs = 2:
% 84.62/84.82 pppp14-{F}(V0,V1,V2), incident_c-{F}(V2,V1) | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #6: input, references = 7, size of lhs = 1:
% 84.62/84.82 pppp14-{F}(V0,V1,V2) | incident_c-{T}(V2,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #7: input, references = 5, size of lhs = 1:
% 84.62/84.82 P_sum-{F}(V1,V2,V3) | pppp2-{T}(V1,V3,V2)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #8: input, references = 3, size of lhs = 3:
% 84.62/84.82 P_sum-{F}(V1,V2,V3), pppp2-{F}(V1,V0,V2), V0 == V3 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #9: input, references = 3, size of lhs = 2:
% 84.62/84.82 pppp2-{F}(V0,V1,V2), incident_c-{F}(V3,V1) | pppp1-{T}(V0,V2,V3)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #10: input, references = 5, size of lhs = 2:
% 84.62/84.82 pppp2-{F}(V0,V1,V2), pppp1-{F}(V0,V2,V3) | incident_c-{T}(V3,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #11: input, references = 4, size of lhs = 3:
% 84.62/84.82 #-{F} V0, #-{F} V1, #-{F} V2 | pppp2-{T}(V0,V1,V2), pppp44-{T}(V0,V1,V2)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #12: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp44-{F}(V0,V1,V2) | EXISTS V3: pppp15-{T}(V0,V1,V2,V3)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #13: input, references = 3, size of lhs = 3:
% 84.62/84.82 pppp15-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V2,V3), incident_c-{F}(V3,V1) | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #14: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp15-{F}(V0,V1,V2,V3) | incident_c-{T}(V3,V1), pppp1-{T}(V0,V2,V3)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #15: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp1-{F}(V0,V1,V2) | incident_c-{T}(V2,V0), incident_c-{T}(V2,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #16: input, references = 4, size of lhs = 2:
% 84.62/84.82 #-{F} V1, incident_c-{F}(V2,V0) | pppp1-{T}(V0,V1,V2)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #17: input, references = 4, size of lhs = 2:
% 84.62/84.82 #-{F} V0, incident_c-{F}(V2,V1) | pppp1-{T}(V0,V1,V2)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #18: input, references = 3, size of lhs = 1:
% 84.62/84.82 end_point-{F}(V0,V1) | pppp3-{T}(V1,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #19: input, references = 5, size of lhs = 1:
% 84.62/84.82 pppp3-{F}(V1,V0) | end_point-{T}(V0,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #20: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp3-{F}(V0,V1) | incident_c-{T}(V1,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #21: input, references = 3, size of lhs = 5:
% 84.62/84.82 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)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #22: input, references = 5, size of lhs = 1:
% 84.62/84.82 incident_c-{F}(V1,V0) | pppp3-{T}(V0,V1), pppp45-{T}(V0,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #23: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp45-{F}(V0,V1) | EXISTS V2: pppp17-{T}(V0,V1,V2)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #24: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp17-{F}(V0,V1,V2) | EXISTS V3: pppp16-{T}(V3,V0,V1,V2)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #25: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp17-{F}(V0,V1,V2) | incident_c-{T}(V1,V2)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #26: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp17-{F}(V0,V1,V2) | part_of-{T}(V2,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #27: input, references = 3, size of lhs = 2:
% 84.62/84.82 pppp16-{F}(V0,V1,V2,V3), part_of-{F}(V3,V0) | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #28: input, references = 3, size of lhs = 2:
% 84.62/84.82 pppp16-{F}(V0,V1,V2,V3), part_of-{F}(V0,V3) | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #29: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp16-{F}(V0,V1,V2,V3) | incident_c-{T}(V2,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #30: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp16-{F}(V0,V1,V2,V3) | part_of-{T}(V0,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #31: input, references = 3, size of lhs = 1:
% 84.62/84.82 inner_point-{F}(V0,V1) | pppp4-{T}(V1,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #32: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp4-{F}(V1,V0) | inner_point-{T}(V0,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #33: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp4-{F}(V0,V1) | incident_c-{T}(V1,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #34: input, references = 5, size of lhs = 2:
% 84.62/84.82 pppp4-{F}(V0,V1), end_point-{F}(V1,V0) | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #35: input, references = 5, size of lhs = 1:
% 84.62/84.82 incident_c-{F}(V1,V0) | pppp4-{T}(V0,V1), end_point-{T}(V1,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #36: input, references = 3, size of lhs = 1:
% 84.62/84.82 meet-{F}(V0,V1,V2) | pppp5-{T}(V2,V1,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #37: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp5-{F}(V2,V1,V0) | meet-{T}(V0,V1,V2)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #38: input, references = 3, size of lhs = 3:
% 84.62/84.82 #-{F} V0, #-{F} V1, #-{F} V2 | pppp19-{T}(V0,V1,V2)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #39: input, references = 4, size of lhs = 3:
% 84.62/84.82 pppp19-{F}(V0,V1,V2), incident_c-{F}(V2,V1), incident_c-{F}(V2,V0) | pppp5-{T}(V0,V1,V2), pppp46-{T}(V0,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #40: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp46-{F}(V0,V1) | EXISTS V2: pppp18-{T}(V0,V1,V2)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #41: input, references = 4, size of lhs = 4:
% 84.62/84.82 pppp19-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V2), incident_c-{F}(V3,V1), incident_c-{F}(V3,V0) | end_point-{T}(V3,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #42: input, references = 3, size of lhs = 4:
% 84.62/84.82 pppp19-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V2), incident_c-{F}(V3,V1), incident_c-{F}(V3,V0) | end_point-{T}(V3,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #43: input, references = 3, size of lhs = 2:
% 84.62/84.82 pppp19-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V2) | incident_c-{T}(V2,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #44: input, references = 3, size of lhs = 2:
% 84.62/84.82 pppp19-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V2) | incident_c-{T}(V2,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #45: input, references = 3, size of lhs = 3:
% 84.62/84.82 pppp18-{F}(V0,V1,V2), end_point-{F}(V2,V1), end_point-{F}(V2,V0) | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #46: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp18-{F}(V0,V1,V2) | incident_c-{T}(V2,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #47: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp18-{F}(V0,V1,V2) | incident_c-{T}(V2,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #48: input, references = 3, size of lhs = 1:
% 84.62/84.82 closed-{F}(V0) | pppp6-{T}(V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #49: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp6-{F}(V0) | closed-{T}(V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #50: input, references = 5, size of lhs = 2:
% 84.62/84.82 pppp6-{F}(V0), end_point-{F}(V1,V0) | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #51: input, references = 4, size of lhs = 1:
% 84.62/84.82 #-{F} V0 | pppp6-{T}(V0), pppp47-{T}(V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #52: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp47-{F}(V0) | EXISTS V1: pppp20-{T}(V0,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #53: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp20-{F}(V0,V1) | end_point-{T}(V1,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #54: input, references = 5, size of lhs = 1:
% 84.62/84.82 open-{F}(V0) | pppp7-{T}(V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #55: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp7-{F}(V0) | open-{T}(V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #56: input, references = 4, size of lhs = 1:
% 84.62/84.82 pppp7-{F}(V0) | EXISTS V1: pppp21-{T}(V0,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #57: input, references = 3, size of lhs = 1:
% 84.62/84.82 end_point-{F}(V1,V0) | pppp7-{T}(V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #58: input, references = 4, size of lhs = 1:
% 84.62/84.82 pppp21-{F}(V0,V1) | end_point-{T}(V1,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #59: input, references = 5, size of lhs = 2:
% 84.62/84.82 part_of-{F}(V0,V1), V0 == V1 | open-{T}(V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #60: input, references = 3, size of lhs = 6:
% 84.62/84.82 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)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #61: input, references = 3, size of lhs = 1:
% 84.62/84.82 #-{F} V0 | EXISTS V1: pppp22-{T}(V0,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #62: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp22-{F}(V0,V1) | inner_point-{T}(V1,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #63: input, references = 3, size of lhs = 1:
% 84.62/84.82 inner_point-{F}(V1,V0) | EXISTS V2: pppp24-{T}(V0,V1,V2)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #64: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp24-{F}(V0,V1,V2) | EXISTS V3: pppp23-{T}(V2,V0,V1,V3)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #65: input, references = 3, size of lhs = 3:
% 84.62/84.82 pppp23-{F}(V0,V1,V2,V3), P_sum-{F}(V0,V3,V4), V1 == V4 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #66: input, references = 3, size of lhs = 2:
% 84.62/84.82 pppp23-{F}(V0,V1,V2,V3), P_sum-{F}(V0,V3,V4) | meet-{T}(V2,V0,V3)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #67: input, references = 3, size of lhs = 6:
% 84.62/84.82 end_point-{F}(V2,V3), end_point-{F}(V0,V3), end_point-{F}(V1,V3), V0 == V1, V2 == V0, V2 == V1 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #68: input, references = 3, size of lhs = 1:
% 84.62/84.82 end_point-{F}(V1,V0) | EXISTS V2: pppp25-{T}(V0,V1,V2)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #69: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp25-{F}(V0,V2,V2) | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #70: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp25-{F}(V0,V1,V2) | end_point-{T}(V2,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #71: input, references = 3, size of lhs = 4:
% 84.62/84.82 P_sum-{F}(V0,V1,V2), end_point-{F}(V3,V0), meet-{F}(V4,V0,V1), closed-{F}(V2) | meet-{T}(V3,V0,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #72: input, references = 3, size of lhs = 2:
% 84.62/84.82 P_sum-{F}(V0,V1,V2), meet-{F}(V3,V0,V1) | EXISTS V4: pppp26-{T}(V2,V4)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #73: input, references = 3, size of lhs = 2:
% 84.62/84.82 pppp26-{F}(V0,V1), V1 == V0 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #74: input, references = 3, size of lhs = 3:
% 84.62/84.82 #-{F} V0, #-{F} V1, V0 == V1 | EXISTS V2: pppp27-{T}(V1,V0,V2)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #75: input, references = 3, size of lhs = 3:
% 84.62/84.82 pppp27-{F}(V0,V1,V2), incident_c-{F}(V2,V0), incident_c-{F}(V2,V1) | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #76: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp27-{F}(V0,V1,V2) | incident_c-{T}(V2,V1), incident_c-{T}(V2,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #77: input, references = 4, size of lhs = 1:
% 84.62/84.82 between_c-{F}(V0,V1,V2,V3) | pppp8-{T}(V0,V1,V2,V3)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #78: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp8-{F}(V0,V1,V2,V3) | between_c-{T}(V0,V1,V2,V3)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #79: input, references = 4, size of lhs = 1:
% 84.62/84.82 pppp8-{F}(V0,V3,V2,V3) | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #80: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp8-{F}(V0,V1,V2,V3) | EXISTS V4: pppp28-{T}(V0,V1,V2,V3,V4)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #81: input, references = 3, size of lhs = 5:
% 84.62/84.82 part_of-{F}(V4,V0), end_point-{F}(V1,V4), end_point-{F}(V3,V4), inner_point-{F}(V2,V4), V1 == V3 | pppp8-{T}(V0,V1,V2,V3)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #82: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp28-{F}(V0,V1,V2,V3,V4) | inner_point-{T}(V2,V4)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #83: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp28-{F}(V0,V1,V2,V3,V4) | end_point-{T}(V3,V4)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #84: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp28-{F}(V0,V1,V2,V3,V4) | end_point-{T}(V1,V4)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #85: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp28-{F}(V0,V1,V2,V3,V4) | part_of-{T}(V4,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #86: input, references = 3, size of lhs = 1:
% 84.62/84.82 between_o-{F}(V0,V1,V2,V3) | pppp9-{T}(V1,V2,V3,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #87: input, references = 6, size of lhs = 1:
% 84.62/84.82 pppp9-{F}(V1,V2,V3,V0) | between_o-{T}(V0,V1,V2,V3)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #88: input, references = 4, size of lhs = 4:
% 84.62/84.82 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | pppp29-{T}(V0,V1,V2,V3)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #89: input, references = 6, size of lhs = 3:
% 84.62/84.82 pppp29-{F}(V0,V1,V2,V3), ordered_by-{F}(V3,V2,V1), ordered_by-{F}(V3,V1,V0) | pppp9-{T}(V0,V1,V2,V3)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #90: input, references = 3, size of lhs = 3:
% 84.62/84.82 pppp29-{F}(V0,V1,V2,V3), ordered_by-{F}(V3,V0,V1), ordered_by-{F}(V3,V1,V2) | pppp9-{T}(V0,V1,V2,V3)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #91: input, references = 3, size of lhs = 2:
% 84.62/84.82 pppp29-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V2,V3) | ordered_by-{T}(V3,V1,V2), ordered_by-{T}(V3,V1,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #92: input, references = 3, size of lhs = 2:
% 84.62/84.82 pppp29-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V2,V3) | ordered_by-{T}(V3,V1,V2), ordered_by-{T}(V3,V2,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #93: input, references = 3, size of lhs = 2:
% 84.62/84.82 pppp29-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V2,V3) | ordered_by-{T}(V3,V0,V1), ordered_by-{T}(V3,V1,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #94: input, references = 3, size of lhs = 2:
% 84.62/84.82 pppp29-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V2,V3) | ordered_by-{T}(V3,V0,V1), ordered_by-{T}(V3,V2,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #95: input, references = 3, size of lhs = 1:
% 84.62/84.82 start_point-{F}(V0,V1) | pppp10-{T}(V0,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #96: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp10-{F}(V0,V1) | start_point-{T}(V0,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #97: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp10-{F}(V0,V1) | incident_o-{T}(V0,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #98: input, references = 4, size of lhs = 3:
% 84.62/84.82 pppp10-{F}(V0,V1), incident_o-{F}(V2,V1), V0 == V2 | ordered_by-{T}(V1,V0,V2)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #99: input, references = 4, size of lhs = 1:
% 84.62/84.82 incident_o-{F}(V0,V1) | pppp10-{T}(V0,V1), pppp48-{T}(V0,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #100: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp48-{F}(V0,V1) | EXISTS V2: pppp30-{T}(V0,V2,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #101: input, references = 3, size of lhs = 2:
% 84.62/84.82 pppp30-{F}(V0,V1,V2), ordered_by-{F}(V2,V0,V1) | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #102: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp30-{F}(V0,V1,V2) | incident_o-{T}(V1,V2)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #103: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp30-{F}(V1,V1,V2) | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #104: input, references = 5, size of lhs = 1:
% 84.62/84.82 finish_point-{F}(V0,V1) | pppp11-{T}(V0,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #105: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp11-{F}(V0,V1) | finish_point-{T}(V0,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #106: input, references = 5, size of lhs = 1:
% 84.62/84.82 pppp11-{F}(V0,V1) | incident_o-{T}(V0,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #107: input, references = 6, size of lhs = 3:
% 84.62/84.82 pppp11-{F}(V0,V1), incident_o-{F}(V2,V1), V0 == V2 | ordered_by-{T}(V1,V2,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #108: input, references = 4, size of lhs = 1:
% 84.62/84.82 incident_o-{F}(V0,V1) | pppp11-{T}(V0,V1), pppp49-{T}(V0,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #109: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp49-{F}(V0,V1) | EXISTS V2: pppp31-{T}(V0,V2,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #110: input, references = 3, size of lhs = 2:
% 84.62/84.82 pppp31-{F}(V0,V1,V2), ordered_by-{F}(V2,V1,V0) | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #111: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp31-{F}(V0,V1,V2) | incident_o-{T}(V1,V2)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #112: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp31-{F}(V1,V1,V2) | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #113: input, references = 3, size of lhs = 1:
% 84.62/84.82 ordered_by-{F}(V0,V1,V2) | incident_o-{T}(V1,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #114: input, references = 3, size of lhs = 1:
% 84.62/84.82 ordered_by-{F}(V0,V1,V2) | incident_o-{T}(V2,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #115: input, references = 3, size of lhs = 1:
% 84.62/84.82 #-{F} V0 | EXISTS V1: pppp32-{T}(V1,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #116: input, references = 3, size of lhs = 2:
% 84.62/84.82 pppp32-{F}(V0,V1), incident_c-{F}(V2,V0) | incident_o-{T}(V2,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #117: input, references = 4, size of lhs = 2:
% 84.62/84.82 pppp32-{F}(V0,V1), incident_o-{F}(V2,V1) | incident_c-{T}(V2,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #118: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp32-{F}(V0,V1) | open-{T}(V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #119: input, references = 6, size of lhs = 1:
% 84.62/84.82 between_o-{F}(V3,V0,V1,V2) | pppp12-{T}(V0,V1,V2,V3)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #120: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp12-{F}(V0,V1,V2,V3) | between_o-{T}(V3,V0,V1,V2)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #121: input, references = 4, size of lhs = 1:
% 84.62/84.82 pppp12-{F}(V0,V1,V2,V3) | EXISTS V4: pppp33-{T}(V4,V0,V1,V2,V3)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #122: input, references = 3, size of lhs = 2:
% 84.62/84.82 #-{F} V3, between_c-{F}(V4,V0,V1,V2) | pppp12-{T}(V0,V1,V2,V3), pppp50-{T}(V4,V3)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #123: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp50-{F}(V0,V1) | EXISTS V2: pppp34-{T}(V0,V2,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #124: input, references = 3, size of lhs = 3:
% 84.62/84.82 pppp34-{F}(V0,V1,V2), incident_c-{F}(V1,V0), incident_o-{F}(V1,V2) | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #125: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp34-{F}(V0,V1,V2) | incident_o-{T}(V1,V2), incident_c-{T}(V1,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #126: input, references = 4, size of lhs = 1:
% 84.62/84.82 pppp33-{F}(V0,V1,V2,V3,V4) | between_c-{T}(V0,V1,V2,V3)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #127: input, references = 3, size of lhs = 2:
% 84.62/84.82 pppp33-{F}(V0,V1,V2,V3,V4), incident_c-{F}(V5,V0) | incident_o-{T}(V5,V4)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #128: input, references = 3, size of lhs = 2:
% 84.62/84.82 pppp33-{F}(V0,V1,V2,V3,V4), incident_o-{F}(V5,V4) | incident_c-{T}(V5,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #129: input, references = 3, size of lhs = 1:
% 84.62/84.82 #-{F} V0 | EXISTS V1: pppp35-{T}(V0,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #130: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp35-{F}(V0,V1) | start_point-{T}(V1,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #131: input, references = 3, size of lhs = 4:
% 84.62/84.82 open-{F}(V0), incident_c-{F}(V1,V0), incident_c-{F}(V2,V0), V2 == V1 | EXISTS V3: pppp36-{T}(V0,V2,V1,V3)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #132: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp36-{F}(V0,V1,V2,V3) | ordered_by-{T}(V3,V1,V2)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #133: input, references = 3, size of lhs = 2:
% 84.62/84.82 pppp36-{F}(V0,V1,V2,V3), incident_c-{F}(V4,V0) | incident_o-{T}(V4,V3)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #134: input, references = 3, size of lhs = 2:
% 84.62/84.82 pppp36-{F}(V0,V1,V2,V3), incident_o-{F}(V4,V3) | incident_c-{T}(V4,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #135: input, references = 3, size of lhs = 3:
% 84.62/84.82 #-{F} V0, #-{F} V1, V0 == V1 | EXISTS V2: pppp38-{T}(V0,V1,V2)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #136: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp38-{F}(V0,V1,V2) | EXISTS V3: pppp37-{T}(V2,V3,V0,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #137: input, references = 3, size of lhs = 3:
% 84.62/84.82 pppp37-{F}(V0,V1,V2,V3), ordered_by-{F}(V3,V0,V1), ordered_by-{F}(V2,V0,V1) | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #138: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp37-{F}(V0,V1,V2,V3) | ordered_by-{T}(V2,V0,V1), ordered_by-{T}(V3,V0,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #139: input, references = 3, size of lhs = 1:
% 84.62/84.82 P_underlying_curve-{F}(V1,V2) | pppp13-{T}(V2,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #140: input, references = 3, size of lhs = 3:
% 84.62/84.82 P_underlying_curve-{F}(V1,V2), pppp13-{F}(V0,V1), V0 == V2 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #141: input, references = 3, size of lhs = 2:
% 84.62/84.82 pppp13-{F}(V0,V1), incident_o-{F}(V2,V1) | incident_c-{T}(V2,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #142: input, references = 4, size of lhs = 2:
% 84.62/84.82 pppp13-{F}(V0,V1), incident_c-{F}(V2,V0) | incident_o-{T}(V2,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #143: input, references = 5, size of lhs = 2:
% 84.62/84.82 #-{F} V0, #-{F} V1 | pppp13-{T}(V0,V1), pppp51-{T}(V0,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #144: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp51-{F}(V0,V1) | EXISTS V2: pppp39-{T}(V0,V2,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #145: input, references = 3, size of lhs = 3:
% 84.62/84.82 pppp39-{F}(V0,V1,V2), incident_c-{F}(V1,V0), incident_o-{F}(V1,V2) | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #146: input, references = 3, size of lhs = 1:
% 84.62/84.82 pppp39-{F}(V0,V1,V2) | incident_o-{T}(V1,V2), incident_c-{T}(V1,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #147: input, references = 4, size of lhs = 0:
% 84.62/84.82 FALSE | EXISTS V0: pppp42-{T}(V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #148: input, references = 4, size of lhs = 1:
% 84.62/84.82 pppp42-{F}(V0) | EXISTS V1: pppp41-{T}(V0,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #149: input, references = 4, size of lhs = 1:
% 84.62/84.82 pppp41-{F}(V0,V1) | EXISTS V2: pppp40-{T}(V0,V1,V2)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #150: input, references = 4, size of lhs = 1:
% 84.62/84.82 pppp41-{F}(V1,V1) | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #151: input, references = 4, size of lhs = 1:
% 84.62/84.82 pppp40-{F}(V0,V1,V2) | finish_point-{T}(V1,V2)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #152: input, references = 4, size of lhs = 1:
% 84.62/84.82 pppp40-{F}(V0,V1,V2) | finish_point-{T}(V0,V2)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #153: input, references = 5, size of lhs = 2:
% 84.62/84.82 #-{F} V0, #-{F} V1 | EXISTS V2: P_sum-{T}(V0,V1,V2)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #154: input, references = 3, size of lhs = 1:
% 84.62/84.82 #-{F} V0 | EXISTS V1: P_underlying_curve-{T}(V0,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 number of initial rules = 155
% 84.62/84.82
% 84.62/84.82 Simplifiers:
% 84.62/84.82 #155: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 P_sum-{F}(V0,V1,V2), P_sum-{F}(V0,V1,V5), V2 == V5 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #156: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 P_underlying_curve-{F}(V0,V1), P_underlying_curve-{F}(V0,V3), V1 == V3 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #157: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp14-{F}(V0,V1,V2), pppp14-{F}(V0,V1,V5), V2 == V5 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #158: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp15-{F}(V0,V1,V2,V3), pppp15-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #159: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #160: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V4,V1,V2,V7), V3 == V7 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #161: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V1,V5), V2 == V5 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #162: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V1,V5), V2 == V5 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #163: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp20-{F}(V0,V1), pppp20-{F}(V0,V3), V1 == V3 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #164: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp21-{F}(V0,V1), pppp21-{F}(V0,V3), V1 == V3 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #165: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp22-{F}(V0,V1), pppp22-{F}(V0,V3), V1 == V3 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #166: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp23-{F}(V0,V1,V2,V3), pppp23-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #167: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp23-{F}(V0,V1,V2,V3), pppp23-{F}(V4,V1,V2,V7), V0 == V4 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #168: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp24-{F}(V0,V1,V2), pppp24-{F}(V0,V1,V5), V2 == V5 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #169: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp25-{F}(V0,V1,V2), pppp25-{F}(V0,V1,V5), V2 == V5 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #170: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp26-{F}(V0,V1), pppp26-{F}(V0,V3), V1 == V3 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #171: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp27-{F}(V0,V1,V2), pppp27-{F}(V0,V1,V5), V2 == V5 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #172: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp28-{F}(V0,V1,V2,V3,V4), pppp28-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #173: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp30-{F}(V0,V1,V2), pppp30-{F}(V0,V4,V2), V1 == V4 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #174: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp31-{F}(V0,V1,V2), pppp31-{F}(V0,V4,V2), V1 == V4 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #175: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp32-{F}(V0,V1), pppp32-{F}(V2,V1), V0 == V2 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #176: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp33-{F}(V0,V1,V2,V3,V4), pppp33-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #177: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp34-{F}(V0,V1,V2), pppp34-{F}(V0,V4,V2), V1 == V4 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #178: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp35-{F}(V0,V1), pppp35-{F}(V0,V3), V1 == V3 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #179: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp36-{F}(V0,V1,V2,V3), pppp36-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #180: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp37-{F}(V0,V1,V2,V3), pppp37-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #181: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp37-{F}(V0,V1,V2,V3), pppp37-{F}(V4,V5,V2,V3), V0 == V4 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #182: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp38-{F}(V0,V1,V2), pppp38-{F}(V0,V1,V5), V2 == V5 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #183: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp39-{F}(V0,V1,V2), pppp39-{F}(V0,V4,V2), V1 == V4 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #184: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp40-{F}(V0,V1,V2), pppp40-{F}(V0,V1,V5), V2 == V5 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #185: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp40-{F}(V0,V1,V2), pppp40-{F}(V0,V4,V5), V1 == V4 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #186: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp40-{F}(V0,V1,V2), pppp40-{F}(V3,V4,V5), V0 == V3 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #187: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp41-{F}(V0,V1), pppp41-{F}(V0,V3), V1 == V3 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #188: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp41-{F}(V0,V1), pppp41-{F}(V2,V3), V0 == V2 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #189: unsound, references = 3, size of lhs = 3:
% 84.62/84.82 pppp42-{F}(V0), pppp42-{F}(V1), V0 == V1 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 number of simplifiers = 35
% 84.62/84.82
% 84.62/84.82 Learnt:
% 84.62/84.82 #191: disj( #143, input ), references = 1, size of lhs = 3:
% 84.62/84.82 P_underlying_curve-{F}(V0,V1), #-{F} V2, V2 == V1 | pppp51-{T}(V2,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #194: disj( #11, input ), references = 1, size of lhs = 3:
% 84.62/84.82 P_sum-{F}(V0,V1,V2), #-{F} V3, V3 == V2 | pppp44-{T}(V0,V3,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #204: disj( #22, #19+#50 ), references = 1, size of lhs = 2:
% 84.62/84.82 pppp6-{F}(V0), incident_c-{F}(V1,V0) | pppp45-{T}(V0,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #213: disj( #39, #41+#34 ), references = 1, size of lhs = 6:
% 84.62/84.82 incident_c-{F}(V0,V1), incident_c-{F}(V0,V2), pppp19-{F}(V2,V1,V0), pppp4-{F}(V2,V3), incident_c-{F}(V3,V1), incident_c-{F}(V3,V2) | pppp46-{T}(V2,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #226: disj( #22, #19+#34 ), references = 1, size of lhs = 2:
% 84.62/84.82 incident_c-{F}(V0,V1), pppp4-{F}(V1,V0) | pppp45-{T}(V1,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #257: exists( #4, #255 ), references = 1, size of lhs = 1:
% 84.62/84.82 pppp43-{F}(V0,V0) | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #259: disj( #3, exists( #4, #255 ) ), references = 1, size of lhs = 1:
% 84.62/84.82 #-{F} V0 | pppp0-{T}(V0,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #318: disj( #35, input ), references = 1, size of lhs = 2:
% 84.62/84.82 pppp6-{F}(V0), incident_c-{F}(V1,V0) | pppp4-{T}(V0,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #319: disj( #35, input ), references = 1, size of lhs = 3:
% 84.62/84.82 incident_c-{F}(V0,V1), end_point-{F}(V0,V2), pppp18-{F}(V1,V2,V0) | pppp4-{T}(V1,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #350: exists( #56, #348 ), references = 2, size of lhs = 2:
% 84.62/84.82 pppp7-{F}(V0), pppp6-{F}(V0) | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #355: disj( #3, #1+#59+#54+#349 ), references = 2, size of lhs = 3:
% 84.62/84.82 pppp6-{F}(V0), #-{F} V1, V0 == V1 | pppp43-{T}(V0,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #358: disj( #51, exists( #56, #348 ) ), references = 1, size of lhs = 1:
% 84.62/84.82 pppp7-{F}(V0) | pppp47-{T}(V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #370: exists( #4, #367 ), references = 2, size of lhs = 2:
% 84.62/84.82 pppp43-{F}(V0,V1), pppp2-{F}(V0,V1,V2) | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #375: exists( #153, #373 ), references = 1, size of lhs = 2:
% 84.62/84.82 pppp6-{F}(V0), #-{F} V1 | P_sum-{T}(V0,V1,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #383: exists( #4, #380 ), references = 1, size of lhs = 2:
% 84.62/84.82 pppp43-{F}(V0,V1), pppp2-{F}(V2,V1,V0) | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #392: exists( #4, #389 ), references = 1, size of lhs = 3:
% 84.62/84.82 pppp43-{F}(V0,V1), pppp32-{F}(V1,V2), pppp13-{F}(V0,V2) | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #395: disj( #3, exists( #4, #380 ) ), references = 2, size of lhs = 1:
% 84.62/84.82 pppp2-{F}(V0,V1,V2) | pppp0-{T}(V2,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #400: disj( #143, exists( #4, #389 ) ), references = 1, size of lhs = 2:
% 84.62/84.82 pppp43-{F}(V0,V1), pppp32-{F}(V1,V2) | pppp51-{T}(V0,V2)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #421: disj( #3, exists( #4, #389 ) ), references = 1, size of lhs = 2:
% 84.62/84.82 pppp32-{F}(V0,V1), pppp13-{F}(V2,V1) | pppp0-{T}(V2,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #486: disj( #35, input ), references = 1, size of lhs = 3:
% 84.62/84.82 incident_c-{F}(V0,V1), end_point-{F}(V0,V2), pppp18-{F}(V2,V1,V0) | pppp4-{T}(V1,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #505: exists( #121, #503 ), references = 3, size of lhs = 1:
% 84.62/84.82 pppp12-{F}(V0,V1,V0,V2) | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #511: disj( #108, #107+#89+#87+#119+#504 ), references = 1, size of lhs = 5:
% 84.62/84.82 incident_o-{F}(V0,V1), ordered_by-{F}(V1,V0,V2), V0 == V2, incident_o-{F}(V2,V1), pppp29-{F}(V0,V2,V0,V1) | pppp49-{T}(V0,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #519: exists( #153, #517 ), references = 1, size of lhs = 2:
% 84.62/84.82 pppp6-{F}(V0), #-{F} V1 | P_sum-{T}(V1,V0,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #566: disj( #99, #98+#89+#87+#119+#505 ), references = 1, size of lhs = 5:
% 84.62/84.82 incident_o-{F}(V0,V1), ordered_by-{F}(V1,V0,V2), V2 == V0, incident_o-{F}(V2,V1), pppp29-{F}(V2,V0,V2,V1) | pppp48-{T}(V2,V1)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #637: exists( #149, #635 ), references = 1, size of lhs = 2:
% 84.62/84.82 pppp41-{F}(V0,V1), V0 == V1 | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #639: exists( #148, #636 ), references = 1, size of lhs = 1:
% 84.62/84.82 pppp42-{F}(V0) | pppp41-{T}(V0,V0)
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 #642: exists( #147, #640 ), references = 1, size of lhs = 0:
% 84.62/84.82 FALSE | FALSE
% 84.62/84.82 (used 0 times, uses = {})
% 84.62/84.82
% 84.62/84.82 number of learnt formulas = 27
% 84.62/84.82
% 84.62/84.82
% 84.62/84.82 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 84.62/84.82
% 84.62/84.82 randbase = 1
%------------------------------------------------------------------------------