TSTP Solution File: GEO127-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO127-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n018.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 06:01:46 EDT 2022
% Result : Unsatisfiable 4.52s 4.75s
% Output : Refutation 4.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO127-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n018.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 18:04:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.52/4.75 GeoParameters:
% 4.52/4.75
% 4.52/4.75 tptp_input = 1
% 4.52/4.75 tptp_output = 0
% 4.52/4.75 nonempty = 1
% 4.52/4.75 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.52/4.75 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 4.52/4.75
% 4.52/4.75
% 4.52/4.75 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.52/4.75 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.52/4.75
% 4.52/4.75 RuleSystem INPUT:
% 4.52/4.75
% 4.52/4.75 Initial Rules:
% 4.52/4.75 #0: input, references = 3, size of lhs = 2:
% 4.52/4.75 part_of-{F}(V2,V0), incident_c-{F}(V1,V2) | incident_c-{T}(V1,V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #1: input, references = 3, size of lhs = 1:
% 4.52/4.75 P_ax0_sk1-{F}(V0,V1,V2) | incident_c-{T}(V2,V0), part_of-{T}(V0,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #2: input, references = 3, size of lhs = 2:
% 4.52/4.75 P_ax0_sk1-{F}(V0,V1,V2), incident_c-{F}(V2,V1) | part_of-{T}(V0,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #3: input, references = 4, size of lhs = 2:
% 4.52/4.75 P_sum-{F}(V2,V0,V3), incident_c-{F}(V1,V3) | incident_c-{T}(V1,V0), incident_c-{T}(V1,V2)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #4: input, references = 3, size of lhs = 2:
% 4.52/4.75 incident_c-{F}(V1,V0), P_sum-{F}(V0,V3,V4) | incident_c-{T}(V1,V4)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #5: input, references = 3, size of lhs = 2:
% 4.52/4.75 incident_c-{F}(V1,V0), P_sum-{F}(V3,V0,V4) | incident_c-{T}(V1,V4)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #6: input, references = 4, size of lhs = 3:
% 4.52/4.75 P_ax0_sk2-{F}(V0,V1,V2,V3), P_sum-{F}(V1,V0,V4), V2 == V4 | incident_c-{T}(V3,V2), incident_c-{T}(V3,V1), incident_c-{T}(V3,V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #7: input, references = 6, size of lhs = 5:
% 4.52/4.75 P_ax0_sk2-{F}(V0,V1,V2,V3), P_sum-{F}(V1,V0,V4), incident_c-{F}(V3,V1), incident_c-{F}(V3,V2), V2 == V4 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #8: input, references = 5, size of lhs = 5:
% 4.52/4.75 P_ax0_sk2-{F}(V0,V1,V2,V3), P_sum-{F}(V1,V0,V4), incident_c-{F}(V3,V0), incident_c-{F}(V3,V2), V2 == V4 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #9: input, references = 5, size of lhs = 1:
% 4.52/4.75 end_point-{F}(V0,V1) | incident_c-{T}(V0,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #10: input, references = 3, size of lhs = 5:
% 4.52/4.75 part_of-{F}(V0,V2), part_of-{F}(V1,V2), end_point-{F}(V3,V2), incident_c-{F}(V3,V0), incident_c-{F}(V3,V1) | part_of-{T}(V0,V1), part_of-{T}(V1,V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #11: input, references = 3, size of lhs = 2:
% 4.52/4.75 P_ax0_sk3-{F}(V1,V0,V2), incident_c-{F}(V0,V1) | part_of-{T}(V2,V1), end_point-{T}(V0,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #12: input, references = 3, size of lhs = 2:
% 4.52/4.75 P_ax0_sk4-{F}(V1,V0,V2), incident_c-{F}(V0,V1) | part_of-{T}(V2,V1), end_point-{T}(V0,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #13: input, references = 3, size of lhs = 2:
% 4.52/4.75 P_ax0_sk3-{F}(V1,V0,V2), incident_c-{F}(V0,V1) | incident_c-{T}(V0,V2), end_point-{T}(V0,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #14: input, references = 3, size of lhs = 2:
% 4.52/4.75 P_ax0_sk4-{F}(V1,V0,V2), incident_c-{F}(V0,V1) | incident_c-{T}(V0,V2), end_point-{T}(V0,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #15: input, references = 3, size of lhs = 4:
% 4.52/4.75 P_ax0_sk3-{F}(V1,V0,V2), P_ax0_sk4-{F}(V1,V0,V3), incident_c-{F}(V0,V1), part_of-{F}(V2,V3) | end_point-{T}(V0,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #16: input, references = 3, size of lhs = 4:
% 4.52/4.75 P_ax0_sk4-{F}(V1,V0,V2), P_ax0_sk3-{F}(V1,V0,V3), incident_c-{F}(V0,V1), part_of-{F}(V2,V3) | end_point-{T}(V0,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #17: input, references = 5, size of lhs = 1:
% 4.52/4.75 inner_point-{F}(V0,V1) | incident_c-{T}(V0,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #18: input, references = 8, size of lhs = 2:
% 4.52/4.75 inner_point-{F}(V0,V1), end_point-{F}(V0,V1) | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #19: input, references = 4, size of lhs = 1:
% 4.52/4.75 incident_c-{F}(V0,V1) | end_point-{T}(V0,V1), inner_point-{T}(V0,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #20: input, references = 10, size of lhs = 1:
% 4.52/4.75 meet-{F}(V0,V1,V2) | incident_c-{T}(V0,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #21: input, references = 4, size of lhs = 1:
% 4.52/4.75 meet-{F}(V0,V2,V1) | incident_c-{T}(V0,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #22: input, references = 5, size of lhs = 3:
% 4.52/4.75 incident_c-{F}(V1,V0), incident_c-{F}(V1,V2), meet-{F}(V3,V0,V2) | end_point-{T}(V1,V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #23: input, references = 4, size of lhs = 3:
% 4.52/4.75 incident_c-{F}(V1,V0), incident_c-{F}(V1,V2), meet-{F}(V3,V2,V0) | end_point-{T}(V1,V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #24: input, references = 3, size of lhs = 3:
% 4.52/4.75 incident_c-{F}(V0,V1), P_ax0_sk5-{F}(V1,V2,V0,V3), incident_c-{F}(V0,V2) | incident_c-{T}(V3,V2), meet-{T}(V0,V2,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #25: input, references = 3, size of lhs = 3:
% 4.52/4.75 incident_c-{F}(V0,V1), P_ax0_sk5-{F}(V1,V2,V0,V3), incident_c-{F}(V0,V2) | incident_c-{T}(V3,V1), meet-{T}(V0,V2,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #26: input, references = 3, size of lhs = 5:
% 4.52/4.75 incident_c-{F}(V0,V1), P_ax0_sk5-{F}(V1,V2,V0,V3), incident_c-{F}(V0,V2), end_point-{F}(V3,V2), end_point-{F}(V3,V1) | meet-{T}(V0,V2,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #27: input, references = 3, size of lhs = 2:
% 4.52/4.75 closed-{F}(V0), end_point-{F}(V1,V0) | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #28: input, references = 4, size of lhs = 1:
% 4.52/4.75 P_ax0_sk6-{F}(V0,V1) | end_point-{T}(V1,V0), closed-{T}(V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #29: input, references = 5, size of lhs = 2:
% 4.52/4.75 P_ax0_sk7-{F}(V0,V1), open-{F}(V0) | end_point-{T}(V1,V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #30: input, references = 3, size of lhs = 1:
% 4.52/4.75 end_point-{F}(V1,V0) | open-{T}(V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #31: input, references = 3, size of lhs = 2:
% 4.52/4.75 part_of-{F}(V0,V1), V0 == V1 | open-{T}(V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #32: input, references = 3, size of lhs = 6:
% 4.52/4.75 part_of-{F}(V2,V3), part_of-{F}(V0,V3), part_of-{F}(V1,V3), end_point-{F}(V4,V2), end_point-{F}(V4,V0), end_point-{F}(V4,V1) | 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)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #33: input, references = 6, size of lhs = 1:
% 4.52/4.75 P_ax0_sk8-{F}(V0,V1) | inner_point-{T}(V1,V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #34: input, references = 11, size of lhs = 3:
% 4.52/4.75 P_ax0_sk9-{F}(V0,V1,V2), P_ax0_sk10-{F}(V0,V1,V3), inner_point-{F}(V0,V1) | meet-{T}(V0,V2,V3)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #35: input, references = 3, size of lhs = 5:
% 4.52/4.75 P_ax0_sk9-{F}(V0,V1,V2), P_ax0_sk10-{F}(V0,V1,V3), P_sum-{F}(V2,V3,V4), inner_point-{F}(V0,V1), V1 == V4 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #36: input, references = 5, size of lhs = 6:
% 4.52/4.75 end_point-{F}(V0,V2), end_point-{F}(V1,V2), end_point-{F}(V3,V2), V0 == V1, V3 == V0, V3 == V1 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #37: input, references = 6, size of lhs = 2:
% 4.52/4.75 P_ax0_sk11-{F}(V0,V1,V2), end_point-{F}(V0,V1) | end_point-{T}(V2,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #38: input, references = 3, size of lhs = 2:
% 4.52/4.75 P_ax0_sk11-{F}(V2,V1,V2), end_point-{F}(V2,V1) | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #39: input, references = 3, size of lhs = 4:
% 4.52/4.75 P_sum-{F}(V0,V1,V2), meet-{F}(V3,V0,V1), closed-{F}(V2), end_point-{F}(V5,V0) | meet-{T}(V5,V0,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #40: input, references = 3, size of lhs = 4:
% 4.52/4.75 P_ax0_sk12-{F}(V1,V0,V2), P_sum-{F}(V0,V1,V3), meet-{F}(V4,V0,V1), V2 == V3 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #41: input, references = 3, size of lhs = 2:
% 4.52/4.75 P_ax0_sk13-{F}(V0,V1,V2), V1 == V0 | incident_c-{T}(V2,V1), incident_c-{T}(V2,V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #42: input, references = 4, size of lhs = 4:
% 4.52/4.75 P_ax0_sk13-{F}(V0,V1,V2), incident_c-{F}(V2,V0), incident_c-{F}(V2,V1), V1 == V0 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #43: input, references = 4, size of lhs = 1:
% 4.52/4.75 between_c-{F}(V3,V1,V2,V1) | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #44: input, references = 3, size of lhs = 2:
% 4.52/4.75 P_ax1_sk1-{F}(V3,V2,V1,V0,V4), between_c-{F}(V0,V1,V2,V3) | part_of-{T}(V4,V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #45: input, references = 3, size of lhs = 2:
% 4.52/4.75 P_ax1_sk1-{F}(V3,V2,V1,V0,V4), between_c-{F}(V0,V1,V2,V3) | end_point-{T}(V1,V4)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #46: input, references = 3, size of lhs = 2:
% 4.52/4.75 P_ax1_sk1-{F}(V3,V2,V1,V0,V4), between_c-{F}(V0,V1,V2,V3) | end_point-{T}(V3,V4)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #47: input, references = 3, size of lhs = 2:
% 4.52/4.75 P_ax1_sk1-{F}(V3,V2,V1,V0,V4), between_c-{F}(V0,V1,V2,V3) | inner_point-{T}(V2,V4)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #48: input, references = 3, size of lhs = 5:
% 4.52/4.75 end_point-{F}(V0,V1), end_point-{F}(V2,V1), inner_point-{F}(V3,V1), part_of-{F}(V1,V4), V2 == V0 | between_c-{T}(V4,V2,V3,V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #49: input, references = 3, size of lhs = 1:
% 4.52/4.75 between_o-{F}(V0,V3,V1,V2) | ordered_by-{T}(V0,V2,V1), ordered_by-{T}(V0,V3,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #50: input, references = 3, size of lhs = 1:
% 4.52/4.75 between_o-{F}(V0,V1,V2,V3) | ordered_by-{T}(V0,V1,V2), ordered_by-{T}(V0,V2,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #51: input, references = 3, size of lhs = 1:
% 4.52/4.75 between_o-{F}(V0,V3,V1,V2) | ordered_by-{T}(V0,V1,V2), ordered_by-{T}(V0,V2,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #52: input, references = 3, size of lhs = 1:
% 4.52/4.75 between_o-{F}(V0,V3,V1,V2) | ordered_by-{T}(V0,V1,V2), ordered_by-{T}(V0,V1,V3)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #53: input, references = 3, size of lhs = 2:
% 4.52/4.75 ordered_by-{F}(V0,V1,V2), ordered_by-{F}(V0,V3,V1) | between_o-{T}(V0,V3,V1,V2)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #54: input, references = 3, size of lhs = 2:
% 4.52/4.75 ordered_by-{F}(V0,V1,V2), ordered_by-{F}(V0,V3,V1) | between_o-{T}(V0,V2,V1,V3)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #55: input, references = 5, size of lhs = 1:
% 4.52/4.75 start_point-{F}(V0,V1) | incident_o-{T}(V0,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #56: input, references = 10, size of lhs = 3:
% 4.52/4.75 incident_o-{F}(V1,V0), start_point-{F}(V2,V0), V2 == V1 | ordered_by-{T}(V0,V2,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #57: input, references = 3, size of lhs = 2:
% 4.52/4.75 P_ax2_sk1-{F}(V1,V2,V2), incident_o-{F}(V2,V1) | start_point-{T}(V2,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #58: input, references = 3, size of lhs = 2:
% 4.52/4.75 P_ax2_sk1-{F}(V1,V0,V2), incident_o-{F}(V0,V1) | incident_o-{T}(V2,V1), start_point-{T}(V0,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #59: input, references = 3, size of lhs = 3:
% 4.52/4.75 P_ax2_sk1-{F}(V1,V0,V2), incident_o-{F}(V0,V1), ordered_by-{F}(V1,V0,V2) | start_point-{T}(V0,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #60: input, references = 3, size of lhs = 1:
% 4.52/4.75 finish_point-{F}(V0,V1) | incident_o-{T}(V0,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #61: input, references = 3, size of lhs = 3:
% 4.52/4.75 incident_o-{F}(V1,V0), finish_point-{F}(V2,V0), V2 == V1 | ordered_by-{T}(V0,V1,V2)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #62: input, references = 3, size of lhs = 2:
% 4.52/4.75 P_ax2_sk2-{F}(V1,V2,V2), incident_o-{F}(V2,V1) | finish_point-{T}(V2,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #63: input, references = 3, size of lhs = 2:
% 4.52/4.75 P_ax2_sk2-{F}(V1,V0,V2), incident_o-{F}(V0,V1) | incident_o-{T}(V2,V1), finish_point-{T}(V0,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #64: input, references = 3, size of lhs = 3:
% 4.52/4.75 P_ax2_sk2-{F}(V1,V0,V2), incident_o-{F}(V0,V1), ordered_by-{F}(V1,V2,V0) | finish_point-{T}(V0,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #65: input, references = 6, size of lhs = 1:
% 4.52/4.75 ordered_by-{F}(V0,V1,V2) | incident_o-{T}(V1,V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #66: input, references = 4, size of lhs = 1:
% 4.52/4.75 ordered_by-{F}(V0,V2,V1) | incident_o-{T}(V1,V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #67: input, references = 4, size of lhs = 1:
% 4.52/4.75 P_ax2_sk3-{F}(V0,V1) | open-{T}(V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #68: input, references = 5, size of lhs = 2:
% 4.52/4.75 P_ax2_sk3-{F}(V1,V2), incident_o-{F}(V0,V1) | incident_c-{T}(V0,V2)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #69: input, references = 8, size of lhs = 2:
% 4.52/4.75 P_ax2_sk3-{F}(V1,V2), incident_c-{F}(V0,V2) | incident_o-{T}(V0,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #70: input, references = 3, size of lhs = 3:
% 4.52/4.75 incident_o-{F}(V1,V0), P_ax2_sk4-{F}(V0,V2,V3,V4,V5), between_o-{F}(V0,V4,V3,V2) | incident_c-{T}(V1,V5)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #71: input, references = 3, size of lhs = 3:
% 4.52/4.75 P_ax2_sk4-{F}(V0,V2,V3,V4,V5), between_o-{F}(V0,V4,V3,V2), incident_c-{F}(V1,V5) | incident_o-{T}(V1,V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #72: input, references = 4, size of lhs = 2:
% 4.52/4.75 P_ax2_sk4-{F}(V0,V3,V2,V1,V4), between_o-{F}(V0,V1,V2,V3) | between_c-{T}(V4,V1,V2,V3)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #73: input, references = 3, size of lhs = 2:
% 4.52/4.75 P_ax2_sk5-{F}(V4,V0,V1,V2,V3,V5), between_c-{F}(V4,V3,V2,V1) | between_o-{T}(V0,V3,V2,V1), incident_o-{T}(V5,V0), incident_c-{T}(V5,V4)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #74: input, references = 3, size of lhs = 4:
% 4.52/4.75 P_ax2_sk5-{F}(V4,V0,V1,V2,V3,V5), incident_c-{F}(V5,V4), incident_o-{F}(V5,V0), between_c-{F}(V4,V3,V2,V1) | between_o-{T}(V0,V3,V2,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #75: input, references = 7, size of lhs = 1:
% 4.52/4.75 P_ax2_sk6-{F}(V0,V1) | start_point-{T}(V1,V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #76: input, references = 3, size of lhs = 6:
% 4.52/4.75 open-{F}(V0), incident_c-{F}(V1,V0), P_ax2_sk7-{F}(V0,V1,V2,V3), incident_c-{F}(V2,V0), incident_o-{F}(V4,V3), V2 == V1 | incident_c-{T}(V4,V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #77: input, references = 3, size of lhs = 6:
% 4.52/4.75 open-{F}(V0), incident_c-{F}(V1,V0), P_ax2_sk7-{F}(V0,V1,V2,V3), incident_c-{F}(V2,V0), incident_c-{F}(V4,V0), V2 == V1 | incident_o-{T}(V4,V3)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #78: input, references = 3, size of lhs = 5:
% 4.52/4.75 open-{F}(V0), incident_c-{F}(V1,V0), P_ax2_sk7-{F}(V0,V1,V2,V3), incident_c-{F}(V2,V0), V2 == V1 | ordered_by-{T}(V3,V2,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #79: input, references = 3, size of lhs = 3:
% 4.52/4.75 P_ax2_sk8-{F}(V1,V0,V2), P_ax2_sk9-{F}(V1,V0,V3), V0 == V1 | ordered_by-{T}(V0,V2,V3), ordered_by-{T}(V1,V2,V3)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #80: input, references = 3, size of lhs = 5:
% 4.52/4.75 P_ax2_sk8-{F}(V0,V1,V2), P_ax2_sk9-{F}(V0,V1,V3), ordered_by-{F}(V0,V2,V3), ordered_by-{F}(V1,V2,V3), V1 == V0 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #81: input, references = 3, size of lhs = 2:
% 4.52/4.75 P_underlying_curve-{F}(V0,V2), incident_o-{F}(V1,V0) | incident_c-{T}(V1,V2)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #82: input, references = 4, size of lhs = 2:
% 4.52/4.75 P_underlying_curve-{F}(V0,V2), incident_c-{F}(V1,V2) | incident_o-{T}(V1,V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #83: input, references = 3, size of lhs = 3:
% 4.52/4.75 P_ax2_sk10-{F}(V0,V1,V2), P_underlying_curve-{F}(V0,V3), V1 == V3 | incident_o-{T}(V2,V0), incident_c-{T}(V2,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #84: input, references = 3, size of lhs = 5:
% 4.52/4.75 P_ax2_sk10-{F}(V0,V1,V2), P_underlying_curve-{F}(V0,V3), incident_c-{F}(V2,V1), incident_o-{F}(V2,V0), V1 == V3 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #85: input, references = 5, size of lhs = 3:
% 4.52/4.75 P_sk26-{F}(V0), P_sk25-{F}(V1), P_sk27-{F}(V2) | incident_o-{T}(V0,V1), ordered_by-{T}(V1,V0,V2), ordered_by-{T}(V1,V2,V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #86: input, references = 3, size of lhs = 4:
% 4.52/4.75 P_sk26-{F}(V0), P_sk25-{F}(V1), P_sk27-{F}(V2), ordered_by-{F}(V1,V0,V3) | ordered_by-{T}(V1,V0,V2), ordered_by-{T}(V1,V2,V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #87: input, references = 3, size of lhs = 4:
% 4.52/4.75 P_sk26-{F}(V0), P_sk25-{F}(V1), P_sk27-{F}(V2), ordered_by-{F}(V1,V3,V0) | ordered_by-{T}(V1,V0,V2), ordered_by-{T}(V1,V2,V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #88: input, references = 10, size of lhs = 5:
% 4.52/4.75 P_sk26-{F}(V0), P_sk25-{F}(V1), P_sk27-{F}(V2), incident_o-{F}(V0,V1), ordered_by-{F}(V1,V0,V3) | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #89: input, references = 7, size of lhs = 5:
% 4.52/4.75 P_sk26-{F}(V0), P_sk25-{F}(V1), P_sk27-{F}(V2), incident_o-{F}(V0,V1), ordered_by-{F}(V1,V3,V0) | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #90: input, references = 3, size of lhs = 2:
% 4.52/4.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk1-{T}(V0,V1,V2)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #91: input, references = 4, size of lhs = 2:
% 4.52/4.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_sum-{T}(V0,V1,V2)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #92: input, references = 4, size of lhs = 3:
% 4.52/4.75 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_ax0_sk2-{T}(V0,V1,V2,V3)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #93: input, references = 3, size of lhs = 2:
% 4.52/4.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk3-{T}(V0,V1,V2)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #94: input, references = 3, size of lhs = 2:
% 4.52/4.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk4-{T}(V0,V1,V2)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #95: input, references = 3, size of lhs = 3:
% 4.52/4.75 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_ax0_sk5-{T}(V0,V1,V2,V3)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #96: input, references = 3, size of lhs = 1:
% 4.52/4.75 #-{F} V0 | EXISTS V1: P_ax0_sk6-{T}(V0,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #97: input, references = 4, size of lhs = 1:
% 4.52/4.75 #-{F} V0 | EXISTS V1: P_ax0_sk7-{T}(V0,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #98: input, references = 5, size of lhs = 1:
% 4.52/4.75 #-{F} V0 | EXISTS V1: P_ax0_sk8-{T}(V0,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #99: input, references = 3, size of lhs = 2:
% 4.52/4.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk9-{T}(V0,V1,V2)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #100: input, references = 8, size of lhs = 2:
% 4.52/4.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk10-{T}(V0,V1,V2)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #101: input, references = 5, size of lhs = 2:
% 4.52/4.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk11-{T}(V0,V1,V2)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #102: input, references = 3, size of lhs = 2:
% 4.52/4.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk12-{T}(V0,V1,V2)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #103: input, references = 3, size of lhs = 2:
% 4.52/4.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk13-{T}(V0,V1,V2)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #104: input, references = 3, size of lhs = 4:
% 4.52/4.75 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ax1_sk1-{T}(V0,V1,V2,V3,V4)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #105: input, references = 3, size of lhs = 2:
% 4.52/4.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax2_sk1-{T}(V0,V1,V2)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #106: input, references = 3, size of lhs = 2:
% 4.52/4.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax2_sk2-{T}(V0,V1,V2)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #107: input, references = 4, size of lhs = 1:
% 4.52/4.75 #-{F} V0 | EXISTS V1: P_ax2_sk3-{T}(V0,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #108: input, references = 4, size of lhs = 4:
% 4.52/4.75 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ax2_sk4-{T}(V0,V1,V2,V3,V4)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #109: input, references = 3, size of lhs = 5:
% 4.52/4.75 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_ax2_sk5-{T}(V0,V1,V2,V3,V4,V5)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #110: input, references = 6, size of lhs = 1:
% 4.52/4.75 #-{F} V0 | EXISTS V1: P_ax2_sk6-{T}(V0,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #111: input, references = 3, size of lhs = 3:
% 4.52/4.75 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_ax2_sk7-{T}(V0,V1,V2,V3)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #112: input, references = 3, size of lhs = 2:
% 4.52/4.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax2_sk8-{T}(V0,V1,V2)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #113: input, references = 3, size of lhs = 2:
% 4.52/4.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax2_sk9-{T}(V0,V1,V2)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #114: input, references = 3, size of lhs = 1:
% 4.52/4.75 #-{F} V0 | EXISTS V1: P_underlying_curve-{T}(V0,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #115: input, references = 3, size of lhs = 2:
% 4.52/4.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax2_sk10-{T}(V0,V1,V2)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #116: input, references = 4, size of lhs = 0:
% 4.52/4.75 FALSE | EXISTS V0: P_sk26-{T}(V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #117: input, references = 4, size of lhs = 0:
% 4.52/4.75 FALSE | EXISTS V0: P_sk25-{T}(V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #118: input, references = 4, size of lhs = 0:
% 4.52/4.75 FALSE | EXISTS V0: P_sk27-{T}(V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 number of initial rules = 119
% 4.52/4.75
% 4.52/4.75 Simplifiers:
% 4.52/4.75 #119: unsound, references = 3, size of lhs = 3:
% 4.52/4.75 P_ax0_sk1-{F}(V0,V1,V2), P_ax0_sk1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #120: unsound, references = 3, size of lhs = 3:
% 4.52/4.75 P_sum-{F}(V0,V1,V2), P_sum-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #121: unsound, references = 3, size of lhs = 3:
% 4.52/4.75 P_ax0_sk2-{F}(V0,V1,V2,V3), P_ax0_sk2-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #122: unsound, references = 3, size of lhs = 3:
% 4.52/4.75 P_ax0_sk3-{F}(V0,V1,V2), P_ax0_sk3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #123: unsound, references = 3, size of lhs = 3:
% 4.52/4.75 P_ax0_sk4-{F}(V0,V1,V2), P_ax0_sk4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #124: unsound, references = 3, size of lhs = 3:
% 4.52/4.75 P_ax0_sk5-{F}(V0,V1,V2,V3), P_ax0_sk5-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #125: unsound, references = 3, size of lhs = 3:
% 4.52/4.75 P_ax0_sk6-{F}(V0,V1), P_ax0_sk6-{F}(V0,V3), V1 == V3 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #126: unsound, references = 3, size of lhs = 3:
% 4.52/4.75 P_ax0_sk7-{F}(V0,V1), P_ax0_sk7-{F}(V0,V3), V1 == V3 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #127: unsound, references = 3, size of lhs = 3:
% 4.52/4.75 P_ax0_sk8-{F}(V0,V1), P_ax0_sk8-{F}(V0,V3), V1 == V3 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #128: unsound, references = 3, size of lhs = 3:
% 4.52/4.75 P_ax0_sk9-{F}(V0,V1,V2), P_ax0_sk9-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #129: unsound, references = 3, size of lhs = 3:
% 4.52/4.75 P_ax0_sk10-{F}(V0,V1,V2), P_ax0_sk10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #130: unsound, references = 3, size of lhs = 3:
% 4.52/4.75 P_ax0_sk11-{F}(V0,V1,V2), P_ax0_sk11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #131: unsound, references = 3, size of lhs = 3:
% 4.52/4.75 P_ax0_sk12-{F}(V0,V1,V2), P_ax0_sk12-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #132: unsound, references = 3, size of lhs = 3:
% 4.52/4.75 P_ax0_sk13-{F}(V0,V1,V2), P_ax0_sk13-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #133: unsound, references = 3, size of lhs = 3:
% 4.52/4.75 P_ax1_sk1-{F}(V0,V1,V2,V3,V4), P_ax1_sk1-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #134: unsound, references = 3, size of lhs = 3:
% 4.52/4.75 P_ax2_sk1-{F}(V0,V1,V2), P_ax2_sk1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #135: unsound, references = 3, size of lhs = 3:
% 4.52/4.75 P_ax2_sk2-{F}(V0,V1,V2), P_ax2_sk2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #136: unsound, references = 3, size of lhs = 3:
% 4.52/4.75 P_ax2_sk3-{F}(V0,V1), P_ax2_sk3-{F}(V0,V3), V1 == V3 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #137: unsound, references = 3, size of lhs = 3:
% 4.52/4.75 P_ax2_sk4-{F}(V0,V1,V2,V3,V4), P_ax2_sk4-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #138: unsound, references = 3, size of lhs = 3:
% 4.52/4.75 P_ax2_sk5-{F}(V0,V1,V2,V3,V4,V5), P_ax2_sk5-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #139: unsound, references = 3, size of lhs = 3:
% 4.52/4.75 P_ax2_sk6-{F}(V0,V1), P_ax2_sk6-{F}(V0,V3), V1 == V3 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #140: unsound, references = 3, size of lhs = 3:
% 4.52/4.75 P_ax2_sk7-{F}(V0,V1,V2,V3), P_ax2_sk7-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #141: unsound, references = 3, size of lhs = 3:
% 4.52/4.75 P_ax2_sk8-{F}(V0,V1,V2), P_ax2_sk8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #142: unsound, references = 3, size of lhs = 3:
% 4.52/4.75 P_ax2_sk9-{F}(V0,V1,V2), P_ax2_sk9-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #143: unsound, references = 3, size of lhs = 3:
% 4.52/4.75 P_underlying_curve-{F}(V0,V1), P_underlying_curve-{F}(V0,V3), V1 == V3 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #144: unsound, references = 3, size of lhs = 3:
% 4.52/4.75 P_ax2_sk10-{F}(V0,V1,V2), P_ax2_sk10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #145: unsound, references = 3, size of lhs = 3:
% 4.52/4.75 P_sk26-{F}(V0), P_sk26-{F}(V1), V0 == V1 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #146: unsound, references = 3, size of lhs = 3:
% 4.52/4.75 P_sk25-{F}(V0), P_sk25-{F}(V1), V0 == V1 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #147: unsound, references = 3, size of lhs = 3:
% 4.52/4.75 P_sk27-{F}(V0), P_sk27-{F}(V1), V0 == V1 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 number of simplifiers = 29
% 4.52/4.75
% 4.52/4.75 Learnt:
% 4.52/4.75 #154: exists( #98, #152 ), references = 1, size of lhs = 1:
% 4.52/4.75 meet-{F}(V0,V1,V1) | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #181: exists( #101, #179 ), references = 1, size of lhs = 4:
% 4.52/4.75 end_point-{F}(V0,V1), end_point-{F}(V2,V1), end_point-{F}(V3,V1), V3 == V2 | P_ax0_sk11-{T}(V0,V1,V2), P_ax0_sk11-{T}(V0,V1,V3)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #212: mergings( V0 == V2, V2 == V3; #207 ), references = 1, size of lhs = 3:
% 4.52/4.75 P_sk26-{F}(V0), P_sk27-{F}(V0), P_sk25-{F}(V1) | incident_o-{T}(V0,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #217: exists( #110, #215 ), references = 1, size of lhs = 4:
% 4.52/4.75 P_sk26-{F}(V0), P_sk25-{F}(V1), incident_o-{F}(V0,V1), P_sk27-{F}(V2) | P_ax2_sk6-{T}(V1,V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #241: exists( #108, #239 ), references = 1, size of lhs = 1:
% 4.52/4.75 between_o-{F}(V0,V1,V2,V1) | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #249: disj( #3, input ), references = 1, size of lhs = 6:
% 4.52/4.75 incident_c-{F}(V0,V1), incident_o-{F}(V0,V2), P_ax2_sk10-{F}(V2,V3,V0), P_sum-{F}(V4,V3,V1), P_underlying_curve-{F}(V2,V5), V3 == V5 | incident_c-{T}(V0,V4)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #250: disj( #3, input ), references = 3, size of lhs = 5:
% 4.52/4.75 incident_c-{F}(V0,V1), P_sum-{F}(V2,V3,V1), P_ax0_sk2-{F}(V4,V3,V3,V0), P_sum-{F}(V3,V4,V5), V3 == V5 | incident_c-{T}(V0,V2)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #251: disj( #3, input ), references = 1, size of lhs = 5:
% 4.52/4.75 incident_c-{F}(V0,V1), P_sum-{F}(V2,V3,V1), P_ax0_sk2-{F}(V3,V4,V3,V0), P_sum-{F}(V4,V3,V5), V3 == V5 | incident_c-{T}(V0,V2)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #287: disj( #285, input ), references = 1, size of lhs = 3:
% 4.52/4.75 end_point-{F}(V0,V1), end_point-{F}(V2,V1), V2 == V0 | P_ax0_sk11-{T}(V2,V1,V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #300: disj( #28, #37+#18 ), references = 1, size of lhs = 3:
% 4.52/4.75 P_ax0_sk6-{F}(V0,V1), P_ax0_sk11-{F}(V1,V0,V2), inner_point-{F}(V2,V0) | closed-{T}(V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #301: disj( #28, #9+#42 ), references = 1, size of lhs = 4:
% 4.52/4.75 P_ax0_sk6-{F}(V0,V1), incident_c-{F}(V1,V2), V2 == V0, P_ax0_sk13-{F}(V0,V2,V1) | closed-{T}(V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #349: disj( #19, #34+#20+#23+#18 ), references = 1, size of lhs = 3:
% 4.52/4.75 incident_c-{F}(V0,V1), P_ax0_sk10-{F}(V0,V1,V1), P_ax0_sk9-{F}(V0,V1,V2) | end_point-{T}(V0,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #368: exists( #110, #366 ), references = 1, size of lhs = 7:
% 4.52/4.75 P_sk26-{F}(V0), start_point-{F}(V0,V1), P_sk25-{F}(V1), incident_o-{F}(V0,V1), P_ax2_sk3-{F}(V1,V2), P_sk27-{F}(V3), P_ax2_sk3-{F}(V4,V2) | P_ax2_sk6-{T}(V4,V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #423: exists( #100, #421 ), references = 1, size of lhs = 9:
% 4.52/4.75 P_sk26-{F}(V0), start_point-{F}(V0,V1), P_sk25-{F}(V1), incident_o-{F}(V0,V1), P_ax2_sk3-{F}(V1,V2), P_sk27-{F}(V3), inner_point-{F}(V4,V5), V0 == V4, P_ax0_sk9-{F}(V4,V5,V2) | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #432: exists( #100, #427 ), references = 1, size of lhs = 5:
% 4.52/4.75 inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), P_ax0_sk2-{F}(V3,V2,V2,V0), P_sum-{F}(V2,V3,V4), V2 == V4 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #433: exists( #100, #428 ), references = 1, size of lhs = 5:
% 4.52/4.75 inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), P_ax0_sk2-{F}(V2,V3,V2,V0), P_sum-{F}(V3,V2,V4), V2 == V4 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #449: exists( #100, #445 ), references = 1, size of lhs = 9:
% 4.52/4.75 inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), P_sum-{F}(V3,V4,V2), P_ax0_sk2-{F}(V5,V4,V4,V0), P_sum-{F}(V4,V5,V6), V4 == V6, P_ax0_sk2-{F}(V7,V3,V3,V0), P_sum-{F}(V3,V7,V8), V3 == V8 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #450: exists( #100, #446 ), references = 1, size of lhs = 9:
% 4.52/4.75 inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), P_sum-{F}(V3,V4,V2), P_ax0_sk2-{F}(V5,V4,V4,V0), P_sum-{F}(V4,V5,V6), V4 == V6, P_ax0_sk2-{F}(V3,V7,V3,V0), P_sum-{F}(V7,V3,V8), V3 == V8 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #470: exists( #100, #468 ), references = 1, size of lhs = 11:
% 4.52/4.75 P_sk26-{F}(V0), start_point-{F}(V0,V1), P_sk25-{F}(V1), incident_o-{F}(V0,V1), P_ax2_sk3-{F}(V1,V2), P_sk27-{F}(V3), P_ax2_sk3-{F}(V4,V2), P_underlying_curve-{F}(V4,V5), inner_point-{F}(V6,V7), V0 == V6, P_ax0_sk9-{F}(V6,V7,V5) | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #481: exists( #100, #477 ), references = 1, size of lhs = 4:
% 4.52/4.75 inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), incident_c-{F}(V0,V2), inner_point-{F}(V0,V2) | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #541: disj( #6, input, input ), references = 1, size of lhs = 9:
% 4.52/4.75 P_sum-{F}(V0,V1,V2), P_ax0_sk2-{F}(V1,V0,V3,V4), V3 == V2, P_ax0_sk2-{F}(V5,V3,V3,V4), P_sum-{F}(V3,V5,V6), V3 == V6, P_ax0_sk2-{F}(V7,V0,V0,V4), P_sum-{F}(V0,V7,V8), V0 == V8 | incident_c-{T}(V4,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #542: disj( #6, input, input ), references = 1, size of lhs = 9:
% 4.52/4.75 P_sum-{F}(V0,V1,V2), P_ax0_sk2-{F}(V1,V0,V3,V4), V3 == V2, P_ax0_sk2-{F}(V5,V3,V3,V4), P_sum-{F}(V3,V5,V6), V3 == V6, P_ax0_sk2-{F}(V0,V7,V0,V4), P_sum-{F}(V7,V0,V8), V0 == V8 | incident_c-{T}(V4,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #543: disj( #6, input, input ), references = 1, size of lhs = 9:
% 4.52/4.75 P_sum-{F}(V0,V1,V2), P_ax0_sk2-{F}(V1,V0,V3,V4), V3 == V2, P_ax0_sk2-{F}(V3,V5,V3,V4), P_sum-{F}(V5,V3,V6), V3 == V6, P_ax0_sk2-{F}(V7,V0,V0,V4), P_sum-{F}(V0,V7,V8), V0 == V8 | incident_c-{T}(V4,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #551: mergings( V2 == V3, V3 == V4, V4 == V5; #546 ), references = 1, size of lhs = 2:
% 4.52/4.75 P_sum-{F}(V0,V0,V1), V0 == V1 | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #554: exists( #91, #546 ), references = 1, size of lhs = 1:
% 4.52/4.75 #-{F} V0 | P_sum-{T}(V0,V0,V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #560: exists( #97, #558 ), references = 2, size of lhs = 7:
% 4.52/4.75 open-{F}(V0), P_sk26-{F}(V1), start_point-{F}(V1,V2), P_sk25-{F}(V2), incident_o-{F}(V1,V2), P_ax2_sk3-{F}(V2,V0), P_sk27-{F}(V3) | P_ax0_sk7-{T}(V0,V1)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #567: exists( #98, #565 ), references = 2, size of lhs = 6:
% 4.52/4.75 P_sk26-{F}(V0), start_point-{F}(V0,V1), P_sk25-{F}(V1), incident_o-{F}(V0,V1), P_ax2_sk3-{F}(V1,V2), P_sk27-{F}(V3) | P_ax0_sk8-{T}(V2,V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #618: mergings( V2 == V4, V4 == V5; #613 ), references = 1, size of lhs = 5:
% 4.52/4.75 P_sk26-{F}(V0), P_sk25-{F}(V1), start_point-{F}(V2,V1), V2 == V0, P_sk27-{F}(V3) | ordered_by-{T}(V1,V0,V3)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #626: mergings( V2 == V3, V3 == V4, V4 == V6; #622 ), references = 1, size of lhs = 3:
% 4.52/4.75 P_sk26-{F}(V0), P_sk25-{F}(V1), P_sk27-{F}(V2) | P_ax2_sk6-{T}(V1,V0)
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #637: mergings( V2 == V4; #635 ), references = 1, size of lhs = 5:
% 4.52/4.75 P_sk26-{F}(V0), start_point-{F}(V0,V1), P_sk25-{F}(V1), incident_o-{F}(V0,V1), P_sk27-{F}(V2) | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #642: exists( #118, #640 ), references = 1, size of lhs = 2:
% 4.52/4.75 P_sk26-{F}(V0), P_sk25-{F}(V1) | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #644: exists( #117, #641 ), references = 1, size of lhs = 1:
% 4.52/4.75 P_sk26-{F}(V0) | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 #646: exists( #116, #643 ), references = 1, size of lhs = 0:
% 4.52/4.75 FALSE | FALSE
% 4.52/4.75 (used 0 times, uses = {})
% 4.52/4.75
% 4.52/4.75 number of learnt formulas = 33
% 4.52/4.75
% 4.52/4.75
% 4.52/4.75 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.52/4.75
% 4.52/4.75 randbase = 1
%------------------------------------------------------------------------------