TSTP Solution File: GEO117+1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO117+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.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 06:01:44 EDT 2022
% Result : Theorem 99.94s 100.16s
% Output : Refutation 99.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO117+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 18:10:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 99.94/100.16 GeoParameters:
% 99.94/100.16
% 99.94/100.16 tptp_input = 1
% 99.94/100.16 tptp_output = 0
% 99.94/100.16 nonempty = 1
% 99.94/100.16 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 99.94/100.16 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 99.94/100.16
% 99.94/100.16
% 99.94/100.16 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 99.94/100.16 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 99.94/100.16
% 99.94/100.16 RuleSystem INPUT:
% 99.94/100.16
% 99.94/100.16 Initial Rules:
% 99.94/100.16 #0: input, references = 3, size of lhs = 1:
% 99.94/100.16 part_of-{F}(V1,V0) | pppp0-{T}(V1,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #1: input, references = 5, size of lhs = 1:
% 99.94/100.16 pppp0-{F}(V1,V0) | part_of-{T}(V1,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #2: input, references = 4, size of lhs = 2:
% 99.94/100.16 pppp0-{F}(V0,V1), incident_c-{F}(V2,V0) | incident_c-{T}(V2,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #3: input, references = 7, size of lhs = 2:
% 99.94/100.16 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp42-{T}(V0,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #4: input, references = 8, size of lhs = 1:
% 99.94/100.16 pppp42-{F}(V0,V1) | EXISTS V2: pppp14-{T}(V0,V1,V2)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #5: input, references = 8, size of lhs = 2:
% 99.94/100.16 pppp14-{F}(V0,V1,V2), incident_c-{F}(V2,V1) | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #6: input, references = 8, size of lhs = 1:
% 99.94/100.16 pppp14-{F}(V0,V1,V2) | incident_c-{T}(V2,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #7: input, references = 5, size of lhs = 1:
% 99.94/100.16 P_sum-{F}(V1,V2,V3) | pppp2-{T}(V1,V3,V2)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #8: input, references = 3, size of lhs = 3:
% 99.94/100.16 P_sum-{F}(V1,V2,V3), pppp2-{F}(V1,V0,V2), V0 == V3 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #9: input, references = 3, size of lhs = 2:
% 99.94/100.16 pppp2-{F}(V0,V1,V2), incident_c-{F}(V3,V1) | pppp1-{T}(V0,V2,V3)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #10: input, references = 6, size of lhs = 2:
% 99.94/100.16 pppp2-{F}(V0,V1,V2), pppp1-{F}(V0,V2,V3) | incident_c-{T}(V3,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #11: input, references = 5, size of lhs = 3:
% 99.94/100.16 #-{F} V0, #-{F} V1, #-{F} V2 | pppp2-{T}(V0,V1,V2), pppp43-{T}(V0,V1,V2)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #12: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp43-{F}(V0,V1,V2) | EXISTS V3: pppp15-{T}(V0,V1,V2,V3)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #13: input, references = 3, size of lhs = 3:
% 99.94/100.16 pppp15-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V2,V3), incident_c-{F}(V3,V1) | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #14: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp15-{F}(V0,V1,V2,V3) | incident_c-{T}(V3,V1), pppp1-{T}(V0,V2,V3)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #15: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp1-{F}(V0,V1,V2) | incident_c-{T}(V2,V0), incident_c-{T}(V2,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #16: input, references = 4, size of lhs = 2:
% 99.94/100.16 #-{F} V1, incident_c-{F}(V2,V0) | pppp1-{T}(V0,V1,V2)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #17: input, references = 5, size of lhs = 2:
% 99.94/100.16 #-{F} V0, incident_c-{F}(V2,V1) | pppp1-{T}(V0,V1,V2)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #18: input, references = 3, size of lhs = 1:
% 99.94/100.16 end_point-{F}(V0,V1) | pppp3-{T}(V1,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #19: input, references = 4, size of lhs = 1:
% 99.94/100.16 pppp3-{F}(V1,V0) | end_point-{T}(V0,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #20: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp3-{F}(V0,V1) | incident_c-{T}(V1,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #21: input, references = 3, size of lhs = 5:
% 99.94/100.16 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)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #22: input, references = 4, size of lhs = 1:
% 99.94/100.16 incident_c-{F}(V1,V0) | pppp3-{T}(V0,V1), pppp44-{T}(V0,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #23: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp44-{F}(V0,V1) | EXISTS V2: pppp17-{T}(V0,V1,V2)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #24: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp17-{F}(V0,V1,V2) | EXISTS V3: pppp16-{T}(V3,V0,V1,V2)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #25: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp17-{F}(V0,V1,V2) | incident_c-{T}(V1,V2)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #26: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp17-{F}(V0,V1,V2) | part_of-{T}(V2,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #27: input, references = 3, size of lhs = 2:
% 99.94/100.16 pppp16-{F}(V0,V1,V2,V3), part_of-{F}(V3,V0) | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #28: input, references = 3, size of lhs = 2:
% 99.94/100.16 pppp16-{F}(V0,V1,V2,V3), part_of-{F}(V0,V3) | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #29: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp16-{F}(V0,V1,V2,V3) | incident_c-{T}(V2,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #30: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp16-{F}(V0,V1,V2,V3) | part_of-{T}(V0,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #31: input, references = 3, size of lhs = 1:
% 99.94/100.16 inner_point-{F}(V0,V1) | pppp4-{T}(V1,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #32: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp4-{F}(V1,V0) | inner_point-{T}(V0,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #33: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp4-{F}(V0,V1) | incident_c-{T}(V1,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #34: input, references = 5, size of lhs = 2:
% 99.94/100.16 pppp4-{F}(V0,V1), end_point-{F}(V1,V0) | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #35: input, references = 5, size of lhs = 1:
% 99.94/100.16 incident_c-{F}(V1,V0) | pppp4-{T}(V0,V1), end_point-{T}(V1,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #36: input, references = 3, size of lhs = 1:
% 99.94/100.16 meet-{F}(V0,V1,V2) | pppp5-{T}(V2,V1,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #37: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp5-{F}(V2,V1,V0) | meet-{T}(V0,V1,V2)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #38: input, references = 3, size of lhs = 3:
% 99.94/100.16 #-{F} V0, #-{F} V1, #-{F} V2 | pppp19-{T}(V0,V1,V2)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #39: input, references = 4, size of lhs = 3:
% 99.94/100.16 pppp19-{F}(V0,V1,V2), incident_c-{F}(V2,V1), incident_c-{F}(V2,V0) | pppp5-{T}(V0,V1,V2), pppp45-{T}(V0,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #40: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp45-{F}(V0,V1) | EXISTS V2: pppp18-{T}(V0,V1,V2)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #41: input, references = 4, size of lhs = 4:
% 99.94/100.16 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)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #42: input, references = 3, size of lhs = 4:
% 99.94/100.16 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)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #43: input, references = 3, size of lhs = 2:
% 99.94/100.16 pppp19-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V2) | incident_c-{T}(V2,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #44: input, references = 3, size of lhs = 2:
% 99.94/100.16 pppp19-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V2) | incident_c-{T}(V2,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #45: input, references = 3, size of lhs = 3:
% 99.94/100.16 pppp18-{F}(V0,V1,V2), end_point-{F}(V2,V1), end_point-{F}(V2,V0) | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #46: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp18-{F}(V0,V1,V2) | incident_c-{T}(V2,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #47: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp18-{F}(V0,V1,V2) | incident_c-{T}(V2,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #48: input, references = 3, size of lhs = 1:
% 99.94/100.16 closed-{F}(V0) | pppp6-{T}(V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #49: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp6-{F}(V0) | closed-{T}(V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #50: input, references = 4, size of lhs = 2:
% 99.94/100.16 pppp6-{F}(V0), end_point-{F}(V1,V0) | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #51: input, references = 4, size of lhs = 1:
% 99.94/100.16 #-{F} V0 | pppp6-{T}(V0), pppp46-{T}(V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #52: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp46-{F}(V0) | EXISTS V1: pppp20-{T}(V0,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #53: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp20-{F}(V0,V1) | end_point-{T}(V1,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #54: input, references = 5, size of lhs = 1:
% 99.94/100.16 open-{F}(V0) | pppp7-{T}(V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #55: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp7-{F}(V0) | open-{T}(V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #56: input, references = 4, size of lhs = 1:
% 99.94/100.16 pppp7-{F}(V0) | EXISTS V1: pppp21-{T}(V0,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #57: input, references = 3, size of lhs = 1:
% 99.94/100.16 end_point-{F}(V1,V0) | pppp7-{T}(V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #58: input, references = 4, size of lhs = 1:
% 99.94/100.16 pppp21-{F}(V0,V1) | end_point-{T}(V1,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #59: input, references = 5, size of lhs = 2:
% 99.94/100.16 part_of-{F}(V0,V1), V0 == V1 | open-{T}(V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #60: input, references = 3, size of lhs = 6:
% 99.94/100.16 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)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #61: input, references = 3, size of lhs = 1:
% 99.94/100.16 #-{F} V0 | EXISTS V1: pppp22-{T}(V0,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #62: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp22-{F}(V0,V1) | inner_point-{T}(V1,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #63: input, references = 3, size of lhs = 1:
% 99.94/100.16 inner_point-{F}(V1,V0) | EXISTS V2: pppp24-{T}(V0,V1,V2)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #64: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp24-{F}(V0,V1,V2) | EXISTS V3: pppp23-{T}(V2,V0,V1,V3)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #65: input, references = 3, size of lhs = 3:
% 99.94/100.16 pppp23-{F}(V0,V1,V2,V3), P_sum-{F}(V0,V3,V4), V1 == V4 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #66: input, references = 3, size of lhs = 2:
% 99.94/100.16 pppp23-{F}(V0,V1,V2,V3), P_sum-{F}(V0,V3,V4) | meet-{T}(V2,V0,V3)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #67: input, references = 3, size of lhs = 6:
% 99.94/100.16 end_point-{F}(V2,V3), end_point-{F}(V0,V3), end_point-{F}(V1,V3), V0 == V1, V2 == V0, V2 == V1 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #68: input, references = 3, size of lhs = 1:
% 99.94/100.16 end_point-{F}(V1,V0) | EXISTS V2: pppp25-{T}(V0,V1,V2)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #69: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp25-{F}(V0,V2,V2) | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #70: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp25-{F}(V0,V1,V2) | end_point-{T}(V2,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #71: input, references = 3, size of lhs = 4:
% 99.94/100.16 P_sum-{F}(V0,V1,V2), end_point-{F}(V3,V0), meet-{F}(V4,V0,V1), closed-{F}(V2) | meet-{T}(V3,V0,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #72: input, references = 3, size of lhs = 2:
% 99.94/100.16 P_sum-{F}(V0,V1,V2), meet-{F}(V3,V0,V1) | EXISTS V4: pppp26-{T}(V2,V4)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #73: input, references = 3, size of lhs = 2:
% 99.94/100.16 pppp26-{F}(V0,V1), V1 == V0 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #74: input, references = 3, size of lhs = 3:
% 99.94/100.16 #-{F} V0, #-{F} V1, V0 == V1 | EXISTS V2: pppp27-{T}(V1,V0,V2)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #75: input, references = 4, size of lhs = 3:
% 99.94/100.16 pppp27-{F}(V0,V1,V2), incident_c-{F}(V2,V0), incident_c-{F}(V2,V1) | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #76: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp27-{F}(V0,V1,V2) | incident_c-{T}(V2,V1), incident_c-{T}(V2,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #77: input, references = 4, size of lhs = 1:
% 99.94/100.16 between_c-{F}(V0,V1,V2,V3) | pppp8-{T}(V0,V1,V2,V3)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #78: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp8-{F}(V0,V1,V2,V3) | between_c-{T}(V0,V1,V2,V3)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #79: input, references = 4, size of lhs = 1:
% 99.94/100.16 pppp8-{F}(V0,V3,V2,V3) | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #80: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp8-{F}(V0,V1,V2,V3) | EXISTS V4: pppp28-{T}(V0,V1,V2,V3,V4)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #81: input, references = 3, size of lhs = 5:
% 99.94/100.16 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)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #82: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp28-{F}(V0,V1,V2,V3,V4) | inner_point-{T}(V2,V4)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #83: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp28-{F}(V0,V1,V2,V3,V4) | end_point-{T}(V3,V4)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #84: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp28-{F}(V0,V1,V2,V3,V4) | end_point-{T}(V1,V4)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #85: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp28-{F}(V0,V1,V2,V3,V4) | part_of-{T}(V4,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #86: input, references = 3, size of lhs = 1:
% 99.94/100.16 between_o-{F}(V0,V1,V2,V3) | pppp9-{T}(V1,V2,V3,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #87: input, references = 4, size of lhs = 1:
% 99.94/100.16 pppp9-{F}(V1,V2,V3,V0) | between_o-{T}(V0,V1,V2,V3)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #88: input, references = 4, size of lhs = 4:
% 99.94/100.16 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | pppp29-{T}(V0,V1,V2,V3)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #89: input, references = 4, size of lhs = 3:
% 99.94/100.16 pppp29-{F}(V0,V1,V2,V3), ordered_by-{F}(V3,V2,V1), ordered_by-{F}(V3,V1,V0) | pppp9-{T}(V0,V1,V2,V3)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #90: input, references = 3, size of lhs = 3:
% 99.94/100.16 pppp29-{F}(V0,V1,V2,V3), ordered_by-{F}(V3,V0,V1), ordered_by-{F}(V3,V1,V2) | pppp9-{T}(V0,V1,V2,V3)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #91: input, references = 3, size of lhs = 2:
% 99.94/100.16 pppp29-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V2,V3) | ordered_by-{T}(V3,V1,V2), ordered_by-{T}(V3,V1,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #92: input, references = 3, size of lhs = 2:
% 99.94/100.16 pppp29-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V2,V3) | ordered_by-{T}(V3,V1,V2), ordered_by-{T}(V3,V2,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #93: input, references = 3, size of lhs = 2:
% 99.94/100.16 pppp29-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V2,V3) | ordered_by-{T}(V3,V0,V1), ordered_by-{T}(V3,V1,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #94: input, references = 3, size of lhs = 2:
% 99.94/100.16 pppp29-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V2,V3) | ordered_by-{T}(V3,V0,V1), ordered_by-{T}(V3,V2,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #95: input, references = 3, size of lhs = 1:
% 99.94/100.16 start_point-{F}(V0,V1) | pppp10-{T}(V0,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #96: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp10-{F}(V0,V1) | start_point-{T}(V0,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #97: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp10-{F}(V0,V1) | incident_o-{T}(V0,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #98: input, references = 3, size of lhs = 3:
% 99.94/100.16 pppp10-{F}(V0,V1), incident_o-{F}(V2,V1), V0 == V2 | ordered_by-{T}(V1,V0,V2)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #99: input, references = 3, size of lhs = 1:
% 99.94/100.16 incident_o-{F}(V0,V1) | pppp10-{T}(V0,V1), pppp47-{T}(V0,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #100: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp47-{F}(V0,V1) | EXISTS V2: pppp30-{T}(V0,V2,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #101: input, references = 3, size of lhs = 2:
% 99.94/100.16 pppp30-{F}(V0,V1,V2), ordered_by-{F}(V2,V0,V1) | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #102: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp30-{F}(V0,V1,V2) | incident_o-{T}(V1,V2)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #103: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp30-{F}(V1,V1,V2) | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #104: input, references = 3, size of lhs = 1:
% 99.94/100.16 finish_point-{F}(V0,V1) | pppp11-{T}(V0,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #105: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp11-{F}(V0,V1) | finish_point-{T}(V0,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #106: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp11-{F}(V0,V1) | incident_o-{T}(V0,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #107: input, references = 3, size of lhs = 3:
% 99.94/100.16 pppp11-{F}(V0,V1), incident_o-{F}(V2,V1), V0 == V2 | ordered_by-{T}(V1,V2,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #108: input, references = 3, size of lhs = 1:
% 99.94/100.16 incident_o-{F}(V0,V1) | pppp11-{T}(V0,V1), pppp48-{T}(V0,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #109: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp48-{F}(V0,V1) | EXISTS V2: pppp31-{T}(V0,V2,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #110: input, references = 3, size of lhs = 2:
% 99.94/100.16 pppp31-{F}(V0,V1,V2), ordered_by-{F}(V2,V1,V0) | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #111: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp31-{F}(V0,V1,V2) | incident_o-{T}(V1,V2)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #112: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp31-{F}(V1,V1,V2) | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #113: input, references = 3, size of lhs = 1:
% 99.94/100.16 ordered_by-{F}(V0,V1,V2) | incident_o-{T}(V1,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #114: input, references = 3, size of lhs = 1:
% 99.94/100.16 ordered_by-{F}(V0,V1,V2) | incident_o-{T}(V2,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #115: input, references = 3, size of lhs = 1:
% 99.94/100.16 #-{F} V0 | EXISTS V1: pppp32-{T}(V1,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #116: input, references = 3, size of lhs = 2:
% 99.94/100.16 pppp32-{F}(V0,V1), incident_c-{F}(V2,V0) | incident_o-{T}(V2,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #117: input, references = 5, size of lhs = 2:
% 99.94/100.16 pppp32-{F}(V0,V1), incident_o-{F}(V2,V1) | incident_c-{T}(V2,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #118: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp32-{F}(V0,V1) | open-{T}(V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #119: input, references = 4, size of lhs = 1:
% 99.94/100.16 between_o-{F}(V3,V0,V1,V2) | pppp12-{T}(V0,V1,V2,V3)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #120: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp12-{F}(V0,V1,V2,V3) | between_o-{T}(V3,V0,V1,V2)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #121: input, references = 4, size of lhs = 1:
% 99.94/100.16 pppp12-{F}(V0,V1,V2,V3) | EXISTS V4: pppp33-{T}(V4,V0,V1,V2,V3)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #122: input, references = 3, size of lhs = 2:
% 99.94/100.16 #-{F} V3, between_c-{F}(V4,V0,V1,V2) | pppp12-{T}(V0,V1,V2,V3), pppp49-{T}(V4,V3)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #123: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp49-{F}(V0,V1) | EXISTS V2: pppp34-{T}(V0,V2,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #124: input, references = 3, size of lhs = 3:
% 99.94/100.16 pppp34-{F}(V0,V1,V2), incident_c-{F}(V1,V0), incident_o-{F}(V1,V2) | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #125: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp34-{F}(V0,V1,V2) | incident_o-{T}(V1,V2), incident_c-{T}(V1,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #126: input, references = 4, size of lhs = 1:
% 99.94/100.16 pppp33-{F}(V0,V1,V2,V3,V4) | between_c-{T}(V0,V1,V2,V3)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #127: input, references = 3, size of lhs = 2:
% 99.94/100.16 pppp33-{F}(V0,V1,V2,V3,V4), incident_c-{F}(V5,V0) | incident_o-{T}(V5,V4)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #128: input, references = 3, size of lhs = 2:
% 99.94/100.16 pppp33-{F}(V0,V1,V2,V3,V4), incident_o-{F}(V5,V4) | incident_c-{T}(V5,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #129: input, references = 3, size of lhs = 1:
% 99.94/100.16 #-{F} V0 | EXISTS V1: pppp35-{T}(V0,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #130: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp35-{F}(V0,V1) | start_point-{T}(V1,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #131: input, references = 3, size of lhs = 4:
% 99.94/100.16 open-{F}(V0), incident_c-{F}(V1,V0), incident_c-{F}(V2,V0), V2 == V1 | EXISTS V3: pppp36-{T}(V0,V2,V1,V3)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #132: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp36-{F}(V0,V1,V2,V3) | ordered_by-{T}(V3,V1,V2)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #133: input, references = 3, size of lhs = 2:
% 99.94/100.16 pppp36-{F}(V0,V1,V2,V3), incident_c-{F}(V4,V0) | incident_o-{T}(V4,V3)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #134: input, references = 3, size of lhs = 2:
% 99.94/100.16 pppp36-{F}(V0,V1,V2,V3), incident_o-{F}(V4,V3) | incident_c-{T}(V4,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #135: input, references = 3, size of lhs = 3:
% 99.94/100.16 #-{F} V0, #-{F} V1, V0 == V1 | EXISTS V2: pppp38-{T}(V0,V1,V2)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #136: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp38-{F}(V0,V1,V2) | EXISTS V3: pppp37-{T}(V2,V3,V0,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #137: input, references = 3, size of lhs = 3:
% 99.94/100.16 pppp37-{F}(V0,V1,V2,V3), ordered_by-{F}(V3,V0,V1), ordered_by-{F}(V2,V0,V1) | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #138: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp37-{F}(V0,V1,V2,V3) | ordered_by-{T}(V2,V0,V1), ordered_by-{T}(V3,V0,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #139: input, references = 3, size of lhs = 1:
% 99.94/100.16 P_underlying_curve-{F}(V1,V2) | pppp13-{T}(V2,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #140: input, references = 3, size of lhs = 3:
% 99.94/100.16 P_underlying_curve-{F}(V1,V2), pppp13-{F}(V0,V1), V0 == V2 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #141: input, references = 3, size of lhs = 2:
% 99.94/100.16 pppp13-{F}(V0,V1), incident_o-{F}(V2,V1) | incident_c-{T}(V2,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #142: input, references = 5, size of lhs = 2:
% 99.94/100.16 pppp13-{F}(V0,V1), incident_c-{F}(V2,V0) | incident_o-{T}(V2,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #143: input, references = 5, size of lhs = 2:
% 99.94/100.16 #-{F} V0, #-{F} V1 | pppp13-{T}(V0,V1), pppp50-{T}(V0,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #144: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp50-{F}(V0,V1) | EXISTS V2: pppp39-{T}(V0,V2,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #145: input, references = 3, size of lhs = 3:
% 99.94/100.16 pppp39-{F}(V0,V1,V2), incident_c-{F}(V1,V0), incident_o-{F}(V1,V2) | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #146: input, references = 3, size of lhs = 1:
% 99.94/100.16 pppp39-{F}(V0,V1,V2) | incident_o-{T}(V1,V2), incident_c-{T}(V1,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #147: input, references = 4, size of lhs = 0:
% 99.94/100.16 FALSE | EXISTS V0: pppp41-{T}(V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #148: input, references = 4, size of lhs = 1:
% 99.94/100.16 pppp41-{F}(V0) | EXISTS V1: pppp40-{T}(V0,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #149: input, references = 4, size of lhs = 1:
% 99.94/100.16 pppp40-{F}(V0,V1) | ordered_by-{T}(V0,V1,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #150: input, references = 6, size of lhs = 2:
% 99.94/100.16 #-{F} V0, #-{F} V1 | EXISTS V2: P_sum-{T}(V0,V1,V2)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #151: input, references = 3, size of lhs = 1:
% 99.94/100.16 #-{F} V0 | EXISTS V1: P_underlying_curve-{T}(V0,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 number of initial rules = 152
% 99.94/100.16
% 99.94/100.16 Simplifiers:
% 99.94/100.16 #152: unsound, references = 3, size of lhs = 3:
% 99.94/100.16 P_sum-{F}(V0,V1,V2), P_sum-{F}(V0,V1,V5), V2 == V5 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #153: unsound, references = 3, size of lhs = 3:
% 99.94/100.16 P_underlying_curve-{F}(V0,V1), P_underlying_curve-{F}(V0,V3), V1 == V3 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #154: unsound, references = 3, size of lhs = 3:
% 99.94/100.16 pppp14-{F}(V0,V1,V2), pppp14-{F}(V0,V1,V5), V2 == V5 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #155: unsound, references = 3, size of lhs = 3:
% 99.94/100.16 pppp15-{F}(V0,V1,V2,V3), pppp15-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #156: unsound, references = 3, size of lhs = 3:
% 99.94/100.16 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #157: unsound, references = 3, size of lhs = 3:
% 99.94/100.16 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V4,V1,V2,V7), V3 == V7 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #158: unsound, references = 3, size of lhs = 3:
% 99.94/100.16 pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V1,V5), V2 == V5 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #159: unsound, references = 3, size of lhs = 3:
% 99.94/100.16 pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V1,V5), V2 == V5 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #160: unsound, references = 3, size of lhs = 3:
% 99.94/100.16 pppp20-{F}(V0,V1), pppp20-{F}(V0,V3), V1 == V3 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #161: unsound, references = 3, size of lhs = 3:
% 99.94/100.16 pppp21-{F}(V0,V1), pppp21-{F}(V0,V3), V1 == V3 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #162: unsound, references = 3, size of lhs = 3:
% 99.94/100.16 pppp22-{F}(V0,V1), pppp22-{F}(V0,V3), V1 == V3 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #163: unsound, references = 3, size of lhs = 3:
% 99.94/100.16 pppp23-{F}(V0,V1,V2,V3), pppp23-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #164: unsound, references = 3, size of lhs = 3:
% 99.94/100.16 pppp23-{F}(V0,V1,V2,V3), pppp23-{F}(V4,V1,V2,V7), V0 == V4 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #165: unsound, references = 3, size of lhs = 3:
% 99.94/100.16 pppp24-{F}(V0,V1,V2), pppp24-{F}(V0,V1,V5), V2 == V5 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #166: unsound, references = 3, size of lhs = 3:
% 99.94/100.16 pppp25-{F}(V0,V1,V2), pppp25-{F}(V0,V1,V5), V2 == V5 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #167: unsound, references = 3, size of lhs = 3:
% 99.94/100.16 pppp26-{F}(V0,V1), pppp26-{F}(V0,V3), V1 == V3 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #168: unsound, references = 3, size of lhs = 3:
% 99.94/100.16 pppp27-{F}(V0,V1,V2), pppp27-{F}(V0,V1,V5), V2 == V5 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #169: unsound, references = 3, size of lhs = 3:
% 99.94/100.16 pppp28-{F}(V0,V1,V2,V3,V4), pppp28-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #170: unsound, references = 3, size of lhs = 3:
% 99.94/100.16 pppp30-{F}(V0,V1,V2), pppp30-{F}(V0,V4,V2), V1 == V4 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #171: unsound, references = 3, size of lhs = 3:
% 99.94/100.16 pppp31-{F}(V0,V1,V2), pppp31-{F}(V0,V4,V2), V1 == V4 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #172: unsound, references = 3, size of lhs = 3:
% 99.94/100.16 pppp32-{F}(V0,V1), pppp32-{F}(V2,V1), V0 == V2 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #173: unsound, references = 3, size of lhs = 3:
% 99.94/100.16 pppp33-{F}(V0,V1,V2,V3,V4), pppp33-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #174: unsound, references = 3, size of lhs = 3:
% 99.94/100.16 pppp34-{F}(V0,V1,V2), pppp34-{F}(V0,V4,V2), V1 == V4 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #175: unsound, references = 3, size of lhs = 3:
% 99.94/100.16 pppp35-{F}(V0,V1), pppp35-{F}(V0,V3), V1 == V3 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #176: unsound, references = 3, size of lhs = 3:
% 99.94/100.16 pppp36-{F}(V0,V1,V2,V3), pppp36-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #177: unsound, references = 3, size of lhs = 3:
% 99.94/100.16 pppp37-{F}(V0,V1,V2,V3), pppp37-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #178: unsound, references = 3, size of lhs = 3:
% 99.94/100.16 pppp37-{F}(V0,V1,V2,V3), pppp37-{F}(V4,V5,V2,V3), V0 == V4 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #179: unsound, references = 3, size of lhs = 3:
% 99.94/100.16 pppp38-{F}(V0,V1,V2), pppp38-{F}(V0,V1,V5), V2 == V5 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #180: unsound, references = 3, size of lhs = 3:
% 99.94/100.16 pppp39-{F}(V0,V1,V2), pppp39-{F}(V0,V4,V2), V1 == V4 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #181: unsound, references = 3, size of lhs = 3:
% 99.94/100.16 pppp40-{F}(V0,V1), pppp40-{F}(V0,V3), V1 == V3 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #182: unsound, references = 3, size of lhs = 3:
% 99.94/100.16 pppp40-{F}(V0,V1), pppp40-{F}(V2,V3), V0 == V2 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #183: unsound, references = 3, size of lhs = 3:
% 99.94/100.16 pppp41-{F}(V0), pppp41-{F}(V1), V0 == V1 | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 number of simplifiers = 32
% 99.94/100.16
% 99.94/100.16 Learnt:
% 99.94/100.16 #185: disj( #143, input ), references = 1, size of lhs = 3:
% 99.94/100.16 P_underlying_curve-{F}(V0,V1), #-{F} V2, V2 == V1 | pppp50-{T}(V2,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #187: disj( #11, input ), references = 1, size of lhs = 3:
% 99.94/100.16 P_sum-{F}(V0,V1,V2), #-{F} V3, V3 == V2 | pppp43-{T}(V0,V3,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #201: disj( #22, #19+#34 ), references = 1, size of lhs = 2:
% 99.94/100.16 incident_c-{F}(V0,V1), pppp4-{F}(V1,V0) | pppp44-{T}(V1,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #214: disj( #39, #41+#34 ), references = 1, size of lhs = 6:
% 99.94/100.16 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) | pppp45-{T}(V2,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #232: exists( #4, #230 ), references = 1, size of lhs = 1:
% 99.94/100.16 pppp42-{F}(V0,V0) | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #234: disj( #3, exists( #4, #230 ) ), references = 1, size of lhs = 1:
% 99.94/100.16 #-{F} V0 | pppp0-{T}(V0,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #245: exists( #56, #243 ), references = 3, size of lhs = 2:
% 99.94/100.16 pppp7-{F}(V0), pppp6-{F}(V0) | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #254: disj( #3, #1+#59+#54+#245 ), references = 2, size of lhs = 3:
% 99.94/100.16 pppp6-{F}(V0), #-{F} V1, V0 == V1 | pppp42-{T}(V0,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #261: exists( #4, #259 ), references = 2, size of lhs = 2:
% 99.94/100.16 pppp42-{F}(V0,V1), pppp2-{F}(V0,V1,V2) | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #266: exists( #150, #264 ), references = 1, size of lhs = 2:
% 99.94/100.16 pppp6-{F}(V0), #-{F} V1 | P_sum-{T}(V0,V1,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #269: disj( #51, exists( #56, #243 ) ), references = 1, size of lhs = 1:
% 99.94/100.16 pppp7-{F}(V0) | pppp46-{T}(V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #277: exists( #4, #275 ), references = 1, size of lhs = 3:
% 99.94/100.16 pppp42-{F}(V0,V1), pppp32-{F}(V1,V2), pppp13-{F}(V0,V2) | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #283: disj( #11, exists( #4, #259 ) ), references = 1, size of lhs = 2:
% 99.94/100.16 pppp42-{F}(V0,V1), #-{F} V2 | pppp43-{T}(V0,V1,V2)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #298: exists( #4, #295 ), references = 1, size of lhs = 4:
% 99.94/100.16 pppp13-{F}(V0,V1), pppp32-{F}(V2,V1), pppp42-{F}(V3,V2), pppp2-{F}(V4,V0,V3) | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #307: exists( #4, #304 ), references = 1, size of lhs = 2:
% 99.94/100.16 pppp42-{F}(V0,V1), pppp2-{F}(V2,V1,V0) | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #310: exists( #150, #308 ), references = 1, size of lhs = 2:
% 99.94/100.16 pppp42-{F}(V0,V1), P_sum-{F}(V2,V0,V1) | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #312: disj( #3, exists( #150, #308 ) ), references = 2, size of lhs = 1:
% 99.94/100.16 P_sum-{F}(V0,V1,V2) | pppp0-{T}(V1,V2)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #316: disj( #143, exists( #4, #275 ) ), references = 1, size of lhs = 2:
% 99.94/100.16 pppp42-{F}(V0,V1), pppp32-{F}(V1,V2) | pppp50-{T}(V0,V2)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #317: disj( #143, exists( #4, #295 ) ), references = 1, size of lhs = 3:
% 99.94/100.16 pppp32-{F}(V0,V1), pppp42-{F}(V2,V0), pppp2-{F}(V3,V4,V2) | pppp50-{T}(V4,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #330: exists( #150, #328 ), references = 1, size of lhs = 2:
% 99.94/100.16 pppp6-{F}(V0), #-{F} V1 | P_sum-{T}(V1,V0,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #349: disj( #35, input ), references = 1, size of lhs = 6:
% 99.94/100.16 incident_c-{F}(V0,V1), end_point-{F}(V2,V1), V2 == V0, end_point-{F}(V3,V1), V0 == V3, V2 == V3 | pppp4-{T}(V1,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #356: disj( #3, #2+#75 ), references = 1, size of lhs = 3:
% 99.94/100.16 incident_c-{F}(V0,V1), incident_c-{F}(V0,V2), pppp27-{F}(V2,V3,V0) | pppp42-{T}(V1,V3)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #376: disj( #35, input ), references = 1, size of lhs = 2:
% 99.94/100.16 pppp6-{F}(V0), incident_c-{F}(V1,V0) | pppp4-{T}(V0,V1)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #377: disj( #35, input ), references = 1, size of lhs = 2:
% 99.94/100.16 incident_c-{F}(V0,V1), pppp18-{F}(V1,V1,V0) | pppp4-{T}(V1,V0)
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #410: exists( #121, #408 ), references = 2, size of lhs = 1:
% 99.94/100.16 pppp12-{F}(V0,V1,V0,V2) | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #421: exists( #148, #419 ), references = 1, size of lhs = 1:
% 99.94/100.16 pppp41-{F}(V0) | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 #423: exists( #147, #420 ), references = 1, size of lhs = 0:
% 99.94/100.16 FALSE | FALSE
% 99.94/100.16 (used 0 times, uses = {})
% 99.94/100.16
% 99.94/100.16 number of learnt formulas = 27
% 99.94/100.16
% 99.94/100.16
% 99.94/100.16 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 99.94/100.16
% 99.94/100.16 randbase = 1
%------------------------------------------------------------------------------