TSTP Solution File: GEO124+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO124+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.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 84.72s 84.89s
% Output : Refutation 84.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO124+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n024.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 18:16:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 84.72/84.89 GeoParameters:
% 84.72/84.89
% 84.72/84.89 tptp_input = 1
% 84.72/84.89 tptp_output = 0
% 84.72/84.89 nonempty = 1
% 84.72/84.89 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 84.72/84.89 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 84.72/84.89
% 84.72/84.89
% 84.72/84.89 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 84.72/84.89 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 84.72/84.89
% 84.72/84.89 RuleSystem INPUT:
% 84.72/84.89
% 84.72/84.89 Initial Rules:
% 84.72/84.89 #0: input, references = 3, size of lhs = 1:
% 84.72/84.89 part_of-{F}(V1,V0) | pppp0-{T}(V1,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #1: input, references = 5, size of lhs = 1:
% 84.72/84.89 pppp0-{F}(V1,V0) | part_of-{T}(V1,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #2: input, references = 3, size of lhs = 2:
% 84.72/84.89 pppp0-{F}(V0,V1), incident_c-{F}(V2,V0) | incident_c-{T}(V2,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #3: input, references = 7, size of lhs = 2:
% 84.72/84.89 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp43-{T}(V0,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #4: input, references = 7, size of lhs = 1:
% 84.72/84.89 pppp43-{F}(V0,V1) | EXISTS V2: pppp14-{T}(V0,V1,V2)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #5: input, references = 7, size of lhs = 2:
% 84.72/84.89 pppp14-{F}(V0,V1,V2), incident_c-{F}(V2,V1) | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #6: input, references = 7, size of lhs = 1:
% 84.72/84.89 pppp14-{F}(V0,V1,V2) | incident_c-{T}(V2,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #7: input, references = 5, size of lhs = 1:
% 84.72/84.89 P_sum-{F}(V1,V2,V3) | pppp2-{T}(V1,V3,V2)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #8: input, references = 3, size of lhs = 3:
% 84.72/84.89 P_sum-{F}(V1,V2,V3), pppp2-{F}(V1,V0,V2), V0 == V3 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #9: input, references = 3, size of lhs = 2:
% 84.72/84.89 pppp2-{F}(V0,V1,V2), incident_c-{F}(V3,V1) | pppp1-{T}(V0,V2,V3)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #10: input, references = 5, size of lhs = 2:
% 84.72/84.89 pppp2-{F}(V0,V1,V2), pppp1-{F}(V0,V2,V3) | incident_c-{T}(V3,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #11: input, references = 4, size of lhs = 3:
% 84.72/84.89 #-{F} V0, #-{F} V1, #-{F} V2 | pppp2-{T}(V0,V1,V2), pppp44-{T}(V0,V1,V2)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #12: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp44-{F}(V0,V1,V2) | EXISTS V3: pppp15-{T}(V0,V1,V2,V3)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #13: input, references = 3, size of lhs = 3:
% 84.72/84.89 pppp15-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V2,V3), incident_c-{F}(V3,V1) | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #14: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp15-{F}(V0,V1,V2,V3) | incident_c-{T}(V3,V1), pppp1-{T}(V0,V2,V3)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #15: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp1-{F}(V0,V1,V2) | incident_c-{T}(V2,V0), incident_c-{T}(V2,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #16: input, references = 4, size of lhs = 2:
% 84.72/84.89 #-{F} V1, incident_c-{F}(V2,V0) | pppp1-{T}(V0,V1,V2)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #17: input, references = 4, size of lhs = 2:
% 84.72/84.89 #-{F} V0, incident_c-{F}(V2,V1) | pppp1-{T}(V0,V1,V2)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #18: input, references = 3, size of lhs = 1:
% 84.72/84.89 end_point-{F}(V0,V1) | pppp3-{T}(V1,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #19: input, references = 5, size of lhs = 1:
% 84.72/84.89 pppp3-{F}(V1,V0) | end_point-{T}(V0,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #20: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp3-{F}(V0,V1) | incident_c-{T}(V1,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #21: input, references = 3, size of lhs = 5:
% 84.72/84.89 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)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #22: input, references = 5, size of lhs = 1:
% 84.72/84.89 incident_c-{F}(V1,V0) | pppp3-{T}(V0,V1), pppp45-{T}(V0,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #23: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp45-{F}(V0,V1) | EXISTS V2: pppp17-{T}(V0,V1,V2)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #24: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp17-{F}(V0,V1,V2) | EXISTS V3: pppp16-{T}(V3,V0,V1,V2)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #25: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp17-{F}(V0,V1,V2) | incident_c-{T}(V1,V2)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #26: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp17-{F}(V0,V1,V2) | part_of-{T}(V2,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #27: input, references = 3, size of lhs = 2:
% 84.72/84.89 pppp16-{F}(V0,V1,V2,V3), part_of-{F}(V3,V0) | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #28: input, references = 3, size of lhs = 2:
% 84.72/84.89 pppp16-{F}(V0,V1,V2,V3), part_of-{F}(V0,V3) | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #29: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp16-{F}(V0,V1,V2,V3) | incident_c-{T}(V2,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #30: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp16-{F}(V0,V1,V2,V3) | part_of-{T}(V0,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #31: input, references = 3, size of lhs = 1:
% 84.72/84.89 inner_point-{F}(V0,V1) | pppp4-{T}(V1,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #32: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp4-{F}(V1,V0) | inner_point-{T}(V0,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #33: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp4-{F}(V0,V1) | incident_c-{T}(V1,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #34: input, references = 5, size of lhs = 2:
% 84.72/84.89 pppp4-{F}(V0,V1), end_point-{F}(V1,V0) | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #35: input, references = 5, size of lhs = 1:
% 84.72/84.89 incident_c-{F}(V1,V0) | pppp4-{T}(V0,V1), end_point-{T}(V1,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #36: input, references = 3, size of lhs = 1:
% 84.72/84.89 meet-{F}(V0,V1,V2) | pppp5-{T}(V2,V1,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #37: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp5-{F}(V2,V1,V0) | meet-{T}(V0,V1,V2)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #38: input, references = 3, size of lhs = 3:
% 84.72/84.89 #-{F} V0, #-{F} V1, #-{F} V2 | pppp19-{T}(V0,V1,V2)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #39: input, references = 4, size of lhs = 3:
% 84.72/84.89 pppp19-{F}(V0,V1,V2), incident_c-{F}(V2,V1), incident_c-{F}(V2,V0) | pppp5-{T}(V0,V1,V2), pppp46-{T}(V0,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #40: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp46-{F}(V0,V1) | EXISTS V2: pppp18-{T}(V0,V1,V2)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #41: input, references = 4, size of lhs = 4:
% 84.72/84.89 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)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #42: input, references = 3, size of lhs = 4:
% 84.72/84.89 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)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #43: input, references = 3, size of lhs = 2:
% 84.72/84.89 pppp19-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V2) | incident_c-{T}(V2,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #44: input, references = 3, size of lhs = 2:
% 84.72/84.89 pppp19-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V2) | incident_c-{T}(V2,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #45: input, references = 3, size of lhs = 3:
% 84.72/84.89 pppp18-{F}(V0,V1,V2), end_point-{F}(V2,V1), end_point-{F}(V2,V0) | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #46: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp18-{F}(V0,V1,V2) | incident_c-{T}(V2,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #47: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp18-{F}(V0,V1,V2) | incident_c-{T}(V2,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #48: input, references = 3, size of lhs = 1:
% 84.72/84.89 closed-{F}(V0) | pppp6-{T}(V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #49: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp6-{F}(V0) | closed-{T}(V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #50: input, references = 5, size of lhs = 2:
% 84.72/84.89 pppp6-{F}(V0), end_point-{F}(V1,V0) | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #51: input, references = 4, size of lhs = 1:
% 84.72/84.89 #-{F} V0 | pppp6-{T}(V0), pppp47-{T}(V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #52: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp47-{F}(V0) | EXISTS V1: pppp20-{T}(V0,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #53: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp20-{F}(V0,V1) | end_point-{T}(V1,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #54: input, references = 5, size of lhs = 1:
% 84.72/84.89 open-{F}(V0) | pppp7-{T}(V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #55: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp7-{F}(V0) | open-{T}(V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #56: input, references = 4, size of lhs = 1:
% 84.72/84.89 pppp7-{F}(V0) | EXISTS V1: pppp21-{T}(V0,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #57: input, references = 3, size of lhs = 1:
% 84.72/84.89 end_point-{F}(V1,V0) | pppp7-{T}(V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #58: input, references = 4, size of lhs = 1:
% 84.72/84.89 pppp21-{F}(V0,V1) | end_point-{T}(V1,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #59: input, references = 5, size of lhs = 2:
% 84.72/84.89 part_of-{F}(V0,V1), V0 == V1 | open-{T}(V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #60: input, references = 3, size of lhs = 6:
% 84.72/84.89 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)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #61: input, references = 3, size of lhs = 1:
% 84.72/84.89 #-{F} V0 | EXISTS V1: pppp22-{T}(V0,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #62: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp22-{F}(V0,V1) | inner_point-{T}(V1,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #63: input, references = 3, size of lhs = 1:
% 84.72/84.89 inner_point-{F}(V1,V0) | EXISTS V2: pppp24-{T}(V0,V1,V2)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #64: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp24-{F}(V0,V1,V2) | EXISTS V3: pppp23-{T}(V2,V0,V1,V3)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #65: input, references = 3, size of lhs = 3:
% 84.72/84.89 pppp23-{F}(V0,V1,V2,V3), P_sum-{F}(V0,V3,V4), V1 == V4 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #66: input, references = 3, size of lhs = 2:
% 84.72/84.89 pppp23-{F}(V0,V1,V2,V3), P_sum-{F}(V0,V3,V4) | meet-{T}(V2,V0,V3)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #67: input, references = 3, size of lhs = 6:
% 84.72/84.89 end_point-{F}(V2,V3), end_point-{F}(V0,V3), end_point-{F}(V1,V3), V0 == V1, V2 == V0, V2 == V1 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #68: input, references = 3, size of lhs = 1:
% 84.72/84.89 end_point-{F}(V1,V0) | EXISTS V2: pppp25-{T}(V0,V1,V2)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #69: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp25-{F}(V0,V2,V2) | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #70: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp25-{F}(V0,V1,V2) | end_point-{T}(V2,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #71: input, references = 3, size of lhs = 4:
% 84.72/84.89 P_sum-{F}(V0,V1,V2), end_point-{F}(V3,V0), meet-{F}(V4,V0,V1), closed-{F}(V2) | meet-{T}(V3,V0,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #72: input, references = 3, size of lhs = 2:
% 84.72/84.89 P_sum-{F}(V0,V1,V2), meet-{F}(V3,V0,V1) | EXISTS V4: pppp26-{T}(V2,V4)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #73: input, references = 3, size of lhs = 2:
% 84.72/84.89 pppp26-{F}(V0,V1), V1 == V0 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #74: input, references = 3, size of lhs = 3:
% 84.72/84.89 #-{F} V0, #-{F} V1, V0 == V1 | EXISTS V2: pppp27-{T}(V1,V0,V2)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #75: input, references = 3, size of lhs = 3:
% 84.72/84.89 pppp27-{F}(V0,V1,V2), incident_c-{F}(V2,V0), incident_c-{F}(V2,V1) | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #76: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp27-{F}(V0,V1,V2) | incident_c-{T}(V2,V1), incident_c-{T}(V2,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #77: input, references = 4, size of lhs = 1:
% 84.72/84.89 between_c-{F}(V0,V1,V2,V3) | pppp8-{T}(V0,V1,V2,V3)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #78: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp8-{F}(V0,V1,V2,V3) | between_c-{T}(V0,V1,V2,V3)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #79: input, references = 4, size of lhs = 1:
% 84.72/84.89 pppp8-{F}(V0,V3,V2,V3) | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #80: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp8-{F}(V0,V1,V2,V3) | EXISTS V4: pppp28-{T}(V0,V1,V2,V3,V4)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #81: input, references = 3, size of lhs = 5:
% 84.72/84.89 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)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #82: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp28-{F}(V0,V1,V2,V3,V4) | inner_point-{T}(V2,V4)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #83: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp28-{F}(V0,V1,V2,V3,V4) | end_point-{T}(V3,V4)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #84: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp28-{F}(V0,V1,V2,V3,V4) | end_point-{T}(V1,V4)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #85: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp28-{F}(V0,V1,V2,V3,V4) | part_of-{T}(V4,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #86: input, references = 3, size of lhs = 1:
% 84.72/84.89 between_o-{F}(V0,V1,V2,V3) | pppp9-{T}(V1,V2,V3,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #87: input, references = 6, size of lhs = 1:
% 84.72/84.89 pppp9-{F}(V1,V2,V3,V0) | between_o-{T}(V0,V1,V2,V3)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #88: input, references = 4, size of lhs = 4:
% 84.72/84.89 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | pppp29-{T}(V0,V1,V2,V3)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #89: input, references = 6, size of lhs = 3:
% 84.72/84.89 pppp29-{F}(V0,V1,V2,V3), ordered_by-{F}(V3,V2,V1), ordered_by-{F}(V3,V1,V0) | pppp9-{T}(V0,V1,V2,V3)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #90: input, references = 3, size of lhs = 3:
% 84.72/84.89 pppp29-{F}(V0,V1,V2,V3), ordered_by-{F}(V3,V0,V1), ordered_by-{F}(V3,V1,V2) | pppp9-{T}(V0,V1,V2,V3)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #91: input, references = 3, size of lhs = 2:
% 84.72/84.89 pppp29-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V2,V3) | ordered_by-{T}(V3,V1,V2), ordered_by-{T}(V3,V1,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #92: input, references = 3, size of lhs = 2:
% 84.72/84.89 pppp29-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V2,V3) | ordered_by-{T}(V3,V1,V2), ordered_by-{T}(V3,V2,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #93: input, references = 3, size of lhs = 2:
% 84.72/84.89 pppp29-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V2,V3) | ordered_by-{T}(V3,V0,V1), ordered_by-{T}(V3,V1,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #94: input, references = 3, size of lhs = 2:
% 84.72/84.89 pppp29-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V2,V3) | ordered_by-{T}(V3,V0,V1), ordered_by-{T}(V3,V2,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #95: input, references = 5, size of lhs = 1:
% 84.72/84.89 start_point-{F}(V0,V1) | pppp10-{T}(V0,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #96: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp10-{F}(V0,V1) | start_point-{T}(V0,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #97: input, references = 5, size of lhs = 1:
% 84.72/84.89 pppp10-{F}(V0,V1) | incident_o-{T}(V0,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #98: input, references = 6, size of lhs = 3:
% 84.72/84.89 pppp10-{F}(V0,V1), incident_o-{F}(V2,V1), V0 == V2 | ordered_by-{T}(V1,V0,V2)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #99: input, references = 4, size of lhs = 1:
% 84.72/84.89 incident_o-{F}(V0,V1) | pppp10-{T}(V0,V1), pppp48-{T}(V0,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #100: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp48-{F}(V0,V1) | EXISTS V2: pppp30-{T}(V0,V2,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #101: input, references = 3, size of lhs = 2:
% 84.72/84.89 pppp30-{F}(V0,V1,V2), ordered_by-{F}(V2,V0,V1) | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #102: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp30-{F}(V0,V1,V2) | incident_o-{T}(V1,V2)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #103: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp30-{F}(V1,V1,V2) | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #104: input, references = 3, size of lhs = 1:
% 84.72/84.89 finish_point-{F}(V0,V1) | pppp11-{T}(V0,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #105: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp11-{F}(V0,V1) | finish_point-{T}(V0,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #106: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp11-{F}(V0,V1) | incident_o-{T}(V0,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #107: input, references = 4, size of lhs = 3:
% 84.72/84.89 pppp11-{F}(V0,V1), incident_o-{F}(V2,V1), V0 == V2 | ordered_by-{T}(V1,V2,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #108: input, references = 4, size of lhs = 1:
% 84.72/84.89 incident_o-{F}(V0,V1) | pppp11-{T}(V0,V1), pppp49-{T}(V0,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #109: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp49-{F}(V0,V1) | EXISTS V2: pppp31-{T}(V0,V2,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #110: input, references = 3, size of lhs = 2:
% 84.72/84.89 pppp31-{F}(V0,V1,V2), ordered_by-{F}(V2,V1,V0) | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #111: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp31-{F}(V0,V1,V2) | incident_o-{T}(V1,V2)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #112: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp31-{F}(V1,V1,V2) | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #113: input, references = 3, size of lhs = 1:
% 84.72/84.89 ordered_by-{F}(V0,V1,V2) | incident_o-{T}(V1,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #114: input, references = 3, size of lhs = 1:
% 84.72/84.89 ordered_by-{F}(V0,V1,V2) | incident_o-{T}(V2,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #115: input, references = 3, size of lhs = 1:
% 84.72/84.89 #-{F} V0 | EXISTS V1: pppp32-{T}(V1,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #116: input, references = 3, size of lhs = 2:
% 84.72/84.89 pppp32-{F}(V0,V1), incident_c-{F}(V2,V0) | incident_o-{T}(V2,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #117: input, references = 4, size of lhs = 2:
% 84.72/84.89 pppp32-{F}(V0,V1), incident_o-{F}(V2,V1) | incident_c-{T}(V2,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #118: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp32-{F}(V0,V1) | open-{T}(V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #119: input, references = 6, size of lhs = 1:
% 84.72/84.89 between_o-{F}(V3,V0,V1,V2) | pppp12-{T}(V0,V1,V2,V3)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #120: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp12-{F}(V0,V1,V2,V3) | between_o-{T}(V3,V0,V1,V2)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #121: input, references = 4, size of lhs = 1:
% 84.72/84.89 pppp12-{F}(V0,V1,V2,V3) | EXISTS V4: pppp33-{T}(V4,V0,V1,V2,V3)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #122: input, references = 3, size of lhs = 2:
% 84.72/84.89 #-{F} V3, between_c-{F}(V4,V0,V1,V2) | pppp12-{T}(V0,V1,V2,V3), pppp50-{T}(V4,V3)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #123: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp50-{F}(V0,V1) | EXISTS V2: pppp34-{T}(V0,V2,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #124: input, references = 3, size of lhs = 3:
% 84.72/84.89 pppp34-{F}(V0,V1,V2), incident_c-{F}(V1,V0), incident_o-{F}(V1,V2) | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #125: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp34-{F}(V0,V1,V2) | incident_o-{T}(V1,V2), incident_c-{T}(V1,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #126: input, references = 4, size of lhs = 1:
% 84.72/84.89 pppp33-{F}(V0,V1,V2,V3,V4) | between_c-{T}(V0,V1,V2,V3)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #127: input, references = 3, size of lhs = 2:
% 84.72/84.89 pppp33-{F}(V0,V1,V2,V3,V4), incident_c-{F}(V5,V0) | incident_o-{T}(V5,V4)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #128: input, references = 3, size of lhs = 2:
% 84.72/84.89 pppp33-{F}(V0,V1,V2,V3,V4), incident_o-{F}(V5,V4) | incident_c-{T}(V5,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #129: input, references = 3, size of lhs = 1:
% 84.72/84.89 #-{F} V0 | EXISTS V1: pppp35-{T}(V0,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #130: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp35-{F}(V0,V1) | start_point-{T}(V1,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #131: input, references = 3, size of lhs = 4:
% 84.72/84.89 open-{F}(V0), incident_c-{F}(V1,V0), incident_c-{F}(V2,V0), V2 == V1 | EXISTS V3: pppp36-{T}(V0,V2,V1,V3)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #132: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp36-{F}(V0,V1,V2,V3) | ordered_by-{T}(V3,V1,V2)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #133: input, references = 3, size of lhs = 2:
% 84.72/84.89 pppp36-{F}(V0,V1,V2,V3), incident_c-{F}(V4,V0) | incident_o-{T}(V4,V3)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #134: input, references = 3, size of lhs = 2:
% 84.72/84.89 pppp36-{F}(V0,V1,V2,V3), incident_o-{F}(V4,V3) | incident_c-{T}(V4,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #135: input, references = 3, size of lhs = 3:
% 84.72/84.89 #-{F} V0, #-{F} V1, V0 == V1 | EXISTS V2: pppp38-{T}(V0,V1,V2)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #136: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp38-{F}(V0,V1,V2) | EXISTS V3: pppp37-{T}(V2,V3,V0,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #137: input, references = 3, size of lhs = 3:
% 84.72/84.89 pppp37-{F}(V0,V1,V2,V3), ordered_by-{F}(V3,V0,V1), ordered_by-{F}(V2,V0,V1) | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #138: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp37-{F}(V0,V1,V2,V3) | ordered_by-{T}(V2,V0,V1), ordered_by-{T}(V3,V0,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #139: input, references = 3, size of lhs = 1:
% 84.72/84.89 P_underlying_curve-{F}(V1,V2) | pppp13-{T}(V2,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #140: input, references = 3, size of lhs = 3:
% 84.72/84.89 P_underlying_curve-{F}(V1,V2), pppp13-{F}(V0,V1), V0 == V2 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #141: input, references = 3, size of lhs = 2:
% 84.72/84.89 pppp13-{F}(V0,V1), incident_o-{F}(V2,V1) | incident_c-{T}(V2,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #142: input, references = 4, size of lhs = 2:
% 84.72/84.89 pppp13-{F}(V0,V1), incident_c-{F}(V2,V0) | incident_o-{T}(V2,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #143: input, references = 5, size of lhs = 2:
% 84.72/84.89 #-{F} V0, #-{F} V1 | pppp13-{T}(V0,V1), pppp51-{T}(V0,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #144: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp51-{F}(V0,V1) | EXISTS V2: pppp39-{T}(V0,V2,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #145: input, references = 3, size of lhs = 3:
% 84.72/84.89 pppp39-{F}(V0,V1,V2), incident_c-{F}(V1,V0), incident_o-{F}(V1,V2) | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #146: input, references = 3, size of lhs = 1:
% 84.72/84.89 pppp39-{F}(V0,V1,V2) | incident_o-{T}(V1,V2), incident_c-{T}(V1,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #147: input, references = 4, size of lhs = 0:
% 84.72/84.89 FALSE | EXISTS V0: pppp42-{T}(V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #148: input, references = 4, size of lhs = 1:
% 84.72/84.89 pppp42-{F}(V0) | EXISTS V1: pppp41-{T}(V0,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #149: input, references = 4, size of lhs = 1:
% 84.72/84.89 pppp41-{F}(V0,V1) | EXISTS V2: pppp40-{T}(V0,V1,V2)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #150: input, references = 4, size of lhs = 1:
% 84.72/84.89 pppp41-{F}(V1,V1) | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #151: input, references = 4, size of lhs = 1:
% 84.72/84.89 pppp40-{F}(V0,V1,V2) | start_point-{T}(V1,V2)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #152: input, references = 4, size of lhs = 1:
% 84.72/84.89 pppp40-{F}(V0,V1,V2) | start_point-{T}(V0,V2)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #153: input, references = 5, size of lhs = 2:
% 84.72/84.89 #-{F} V0, #-{F} V1 | EXISTS V2: P_sum-{T}(V0,V1,V2)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #154: input, references = 3, size of lhs = 1:
% 84.72/84.89 #-{F} V0 | EXISTS V1: P_underlying_curve-{T}(V0,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 number of initial rules = 155
% 84.72/84.89
% 84.72/84.89 Simplifiers:
% 84.72/84.89 #155: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 P_sum-{F}(V0,V1,V2), P_sum-{F}(V0,V1,V5), V2 == V5 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #156: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 P_underlying_curve-{F}(V0,V1), P_underlying_curve-{F}(V0,V3), V1 == V3 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #157: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp14-{F}(V0,V1,V2), pppp14-{F}(V0,V1,V5), V2 == V5 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #158: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp15-{F}(V0,V1,V2,V3), pppp15-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #159: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #160: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V4,V1,V2,V7), V3 == V7 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #161: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V1,V5), V2 == V5 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #162: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V1,V5), V2 == V5 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #163: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp20-{F}(V0,V1), pppp20-{F}(V0,V3), V1 == V3 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #164: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp21-{F}(V0,V1), pppp21-{F}(V0,V3), V1 == V3 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #165: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp22-{F}(V0,V1), pppp22-{F}(V0,V3), V1 == V3 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #166: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp23-{F}(V0,V1,V2,V3), pppp23-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #167: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp23-{F}(V0,V1,V2,V3), pppp23-{F}(V4,V1,V2,V7), V0 == V4 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #168: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp24-{F}(V0,V1,V2), pppp24-{F}(V0,V1,V5), V2 == V5 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #169: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp25-{F}(V0,V1,V2), pppp25-{F}(V0,V1,V5), V2 == V5 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #170: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp26-{F}(V0,V1), pppp26-{F}(V0,V3), V1 == V3 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #171: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp27-{F}(V0,V1,V2), pppp27-{F}(V0,V1,V5), V2 == V5 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #172: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp28-{F}(V0,V1,V2,V3,V4), pppp28-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #173: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp30-{F}(V0,V1,V2), pppp30-{F}(V0,V4,V2), V1 == V4 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #174: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp31-{F}(V0,V1,V2), pppp31-{F}(V0,V4,V2), V1 == V4 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #175: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp32-{F}(V0,V1), pppp32-{F}(V2,V1), V0 == V2 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #176: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp33-{F}(V0,V1,V2,V3,V4), pppp33-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #177: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp34-{F}(V0,V1,V2), pppp34-{F}(V0,V4,V2), V1 == V4 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #178: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp35-{F}(V0,V1), pppp35-{F}(V0,V3), V1 == V3 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #179: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp36-{F}(V0,V1,V2,V3), pppp36-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #180: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp37-{F}(V0,V1,V2,V3), pppp37-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #181: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp37-{F}(V0,V1,V2,V3), pppp37-{F}(V4,V5,V2,V3), V0 == V4 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #182: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp38-{F}(V0,V1,V2), pppp38-{F}(V0,V1,V5), V2 == V5 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #183: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp39-{F}(V0,V1,V2), pppp39-{F}(V0,V4,V2), V1 == V4 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #184: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp40-{F}(V0,V1,V2), pppp40-{F}(V0,V1,V5), V2 == V5 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #185: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp40-{F}(V0,V1,V2), pppp40-{F}(V0,V4,V5), V1 == V4 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #186: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp40-{F}(V0,V1,V2), pppp40-{F}(V3,V4,V5), V0 == V3 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #187: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp41-{F}(V0,V1), pppp41-{F}(V0,V3), V1 == V3 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #188: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp41-{F}(V0,V1), pppp41-{F}(V2,V3), V0 == V2 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #189: unsound, references = 3, size of lhs = 3:
% 84.72/84.89 pppp42-{F}(V0), pppp42-{F}(V1), V0 == V1 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 number of simplifiers = 35
% 84.72/84.89
% 84.72/84.89 Learnt:
% 84.72/84.89 #191: disj( #143, input ), references = 1, size of lhs = 3:
% 84.72/84.89 P_underlying_curve-{F}(V0,V1), #-{F} V2, V2 == V1 | pppp51-{T}(V2,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #194: disj( #11, input ), references = 1, size of lhs = 3:
% 84.72/84.89 P_sum-{F}(V0,V1,V2), #-{F} V3, V3 == V2 | pppp44-{T}(V0,V3,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #204: disj( #22, #19+#50 ), references = 1, size of lhs = 2:
% 84.72/84.89 pppp6-{F}(V0), incident_c-{F}(V1,V0) | pppp45-{T}(V0,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #213: disj( #39, #41+#34 ), references = 1, size of lhs = 6:
% 84.72/84.89 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)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #226: disj( #22, #19+#34 ), references = 1, size of lhs = 2:
% 84.72/84.89 incident_c-{F}(V0,V1), pppp4-{F}(V1,V0) | pppp45-{T}(V1,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #257: exists( #4, #255 ), references = 1, size of lhs = 1:
% 84.72/84.89 pppp43-{F}(V0,V0) | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #259: disj( #3, exists( #4, #255 ) ), references = 1, size of lhs = 1:
% 84.72/84.89 #-{F} V0 | pppp0-{T}(V0,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #318: disj( #35, input ), references = 1, size of lhs = 2:
% 84.72/84.89 pppp6-{F}(V0), incident_c-{F}(V1,V0) | pppp4-{T}(V0,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #319: disj( #35, input ), references = 1, size of lhs = 3:
% 84.72/84.89 incident_c-{F}(V0,V1), end_point-{F}(V0,V2), pppp18-{F}(V1,V2,V0) | pppp4-{T}(V1,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #347: exists( #56, #345 ), references = 2, size of lhs = 2:
% 84.72/84.89 pppp7-{F}(V0), pppp6-{F}(V0) | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #352: disj( #3, #1+#59+#54+#346 ), references = 2, size of lhs = 3:
% 84.72/84.89 pppp6-{F}(V0), #-{F} V1, V0 == V1 | pppp43-{T}(V0,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #355: disj( #51, exists( #56, #345 ) ), references = 1, size of lhs = 1:
% 84.72/84.89 pppp7-{F}(V0) | pppp47-{T}(V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #367: exists( #4, #364 ), references = 2, size of lhs = 2:
% 84.72/84.89 pppp43-{F}(V0,V1), pppp2-{F}(V0,V1,V2) | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #372: exists( #153, #370 ), references = 1, size of lhs = 2:
% 84.72/84.89 pppp6-{F}(V0), #-{F} V1 | P_sum-{T}(V0,V1,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #380: exists( #4, #377 ), references = 1, size of lhs = 2:
% 84.72/84.89 pppp43-{F}(V0,V1), pppp2-{F}(V2,V1,V0) | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #389: exists( #4, #386 ), references = 1, size of lhs = 3:
% 84.72/84.89 pppp43-{F}(V0,V1), pppp32-{F}(V1,V2), pppp13-{F}(V0,V2) | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #392: disj( #3, exists( #4, #377 ) ), references = 2, size of lhs = 1:
% 84.72/84.89 pppp2-{F}(V0,V1,V2) | pppp0-{T}(V2,V1)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #397: disj( #143, exists( #4, #386 ) ), references = 1, size of lhs = 2:
% 84.72/84.89 pppp43-{F}(V0,V1), pppp32-{F}(V1,V2) | pppp51-{T}(V0,V2)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #418: disj( #3, exists( #4, #386 ) ), references = 1, size of lhs = 2:
% 84.72/84.89 pppp32-{F}(V0,V1), pppp13-{F}(V2,V1) | pppp0-{T}(V2,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #483: disj( #35, input ), references = 1, size of lhs = 3:
% 84.72/84.89 incident_c-{F}(V0,V1), end_point-{F}(V0,V2), pppp18-{F}(V2,V1,V0) | pppp4-{T}(V1,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #502: exists( #121, #500 ), references = 3, size of lhs = 1:
% 84.72/84.89 pppp12-{F}(V0,V1,V0,V2) | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #508: disj( #108, #107+#89+#87+#119+#501 ), references = 1, size of lhs = 5:
% 84.72/84.89 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)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #516: exists( #153, #514 ), references = 1, size of lhs = 2:
% 84.72/84.89 pppp6-{F}(V0), #-{F} V1 | P_sum-{T}(V1,V0,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #563: disj( #99, #98+#89+#87+#119+#502 ), references = 1, size of lhs = 5:
% 84.72/84.89 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)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #634: exists( #149, #632 ), references = 1, size of lhs = 2:
% 84.72/84.89 pppp41-{F}(V0,V1), V1 == V0 | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #636: exists( #148, #633 ), references = 1, size of lhs = 1:
% 84.72/84.89 pppp42-{F}(V0) | pppp41-{T}(V0,V0)
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 #639: exists( #147, #637 ), references = 1, size of lhs = 0:
% 84.72/84.89 FALSE | FALSE
% 84.72/84.89 (used 0 times, uses = {})
% 84.72/84.89
% 84.72/84.89 number of learnt formulas = 27
% 84.72/84.89
% 84.72/84.89
% 84.72/84.89 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 84.72/84.89
% 84.72/84.89 randbase = 1
%------------------------------------------------------------------------------