TSTP Solution File: GEO126-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO126-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n021.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 : Unsatisfiable 14.63s 14.80s
% Output : Refutation 14.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO126-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Jul 22 17:51:34 EDT 2022
% 0.13/0.35 % CPUTime :
% 14.63/14.80 GeoParameters:
% 14.63/14.80
% 14.63/14.80 tptp_input = 1
% 14.63/14.80 tptp_output = 0
% 14.63/14.80 nonempty = 1
% 14.63/14.80 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.63/14.80 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 14.63/14.80
% 14.63/14.80
% 14.63/14.80 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.63/14.80 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.63/14.80
% 14.63/14.80 RuleSystem INPUT:
% 14.63/14.80
% 14.63/14.80 Initial Rules:
% 14.63/14.80 #0: input, references = 3, size of lhs = 2:
% 14.63/14.80 part_of-{F}(V2,V0), incident_c-{F}(V1,V2) | incident_c-{T}(V1,V0)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #1: input, references = 3, size of lhs = 1:
% 14.63/14.80 P_ax0_sk1-{F}(V0,V1,V2) | incident_c-{T}(V2,V0), part_of-{T}(V0,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #2: input, references = 3, size of lhs = 2:
% 14.63/14.80 P_ax0_sk1-{F}(V0,V1,V2), incident_c-{F}(V2,V1) | part_of-{T}(V0,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #3: input, references = 3, size of lhs = 2:
% 14.63/14.80 P_sum-{F}(V2,V0,V3), incident_c-{F}(V1,V3) | incident_c-{T}(V1,V0), incident_c-{T}(V1,V2)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #4: input, references = 3, size of lhs = 2:
% 14.63/14.80 incident_c-{F}(V1,V0), P_sum-{F}(V0,V3,V4) | incident_c-{T}(V1,V4)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #5: input, references = 3, size of lhs = 2:
% 14.63/14.80 incident_c-{F}(V1,V0), P_sum-{F}(V3,V0,V4) | incident_c-{T}(V1,V4)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #6: input, references = 3, size of lhs = 3:
% 14.63/14.80 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)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #7: input, references = 4, size of lhs = 5:
% 14.63/14.80 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
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #8: input, references = 4, size of lhs = 5:
% 14.63/14.80 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
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #9: input, references = 6, size of lhs = 1:
% 14.63/14.80 end_point-{F}(V0,V1) | incident_c-{T}(V0,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #10: input, references = 3, size of lhs = 5:
% 14.63/14.80 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)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #11: input, references = 3, size of lhs = 2:
% 14.63/14.80 P_ax0_sk3-{F}(V1,V0,V2), incident_c-{F}(V0,V1) | part_of-{T}(V2,V1), end_point-{T}(V0,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #12: input, references = 3, size of lhs = 2:
% 14.63/14.80 P_ax0_sk4-{F}(V1,V0,V2), incident_c-{F}(V0,V1) | part_of-{T}(V2,V1), end_point-{T}(V0,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #13: input, references = 3, size of lhs = 2:
% 14.63/14.80 P_ax0_sk3-{F}(V1,V0,V2), incident_c-{F}(V0,V1) | incident_c-{T}(V0,V2), end_point-{T}(V0,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #14: input, references = 3, size of lhs = 2:
% 14.63/14.80 P_ax0_sk4-{F}(V1,V0,V2), incident_c-{F}(V0,V1) | incident_c-{T}(V0,V2), end_point-{T}(V0,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #15: input, references = 3, size of lhs = 4:
% 14.63/14.80 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)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #16: input, references = 3, size of lhs = 4:
% 14.63/14.80 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)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #17: input, references = 4, size of lhs = 1:
% 14.63/14.80 inner_point-{F}(V0,V1) | incident_c-{T}(V0,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #18: input, references = 8, size of lhs = 2:
% 14.63/14.80 inner_point-{F}(V0,V1), end_point-{F}(V0,V1) | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #19: input, references = 6, size of lhs = 1:
% 14.63/14.80 incident_c-{F}(V0,V1) | end_point-{T}(V0,V1), inner_point-{T}(V0,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #20: input, references = 12, size of lhs = 1:
% 14.63/14.80 meet-{F}(V0,V1,V2) | incident_c-{T}(V0,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #21: input, references = 8, size of lhs = 1:
% 14.63/14.80 meet-{F}(V0,V2,V1) | incident_c-{T}(V0,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #22: input, references = 10, size of lhs = 3:
% 14.63/14.80 incident_c-{F}(V1,V0), incident_c-{F}(V1,V2), meet-{F}(V3,V0,V2) | end_point-{T}(V1,V0)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #23: input, references = 5, size of lhs = 3:
% 14.63/14.80 incident_c-{F}(V1,V0), incident_c-{F}(V1,V2), meet-{F}(V3,V2,V0) | end_point-{T}(V1,V0)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #24: input, references = 3, size of lhs = 3:
% 14.63/14.80 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)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #25: input, references = 3, size of lhs = 3:
% 14.63/14.80 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)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #26: input, references = 3, size of lhs = 5:
% 14.63/14.80 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)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #27: input, references = 4, size of lhs = 2:
% 14.63/14.80 closed-{F}(V0), end_point-{F}(V1,V0) | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #28: input, references = 5, size of lhs = 1:
% 14.63/14.80 P_ax0_sk6-{F}(V0,V1) | end_point-{T}(V1,V0), closed-{T}(V0)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #29: input, references = 8, size of lhs = 2:
% 14.63/14.80 P_ax0_sk7-{F}(V0,V1), open-{F}(V0) | end_point-{T}(V1,V0)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #30: input, references = 4, size of lhs = 1:
% 14.63/14.80 end_point-{F}(V1,V0) | open-{T}(V0)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #31: input, references = 3, size of lhs = 2:
% 14.63/14.80 part_of-{F}(V0,V1), V0 == V1 | open-{T}(V0)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #32: input, references = 3, size of lhs = 6:
% 14.63/14.80 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)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #33: input, references = 5, size of lhs = 1:
% 14.63/14.80 P_ax0_sk8-{F}(V0,V1) | inner_point-{T}(V1,V0)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #34: input, references = 15, size of lhs = 3:
% 14.63/14.80 P_ax0_sk9-{F}(V0,V1,V2), P_ax0_sk10-{F}(V0,V1,V3), inner_point-{F}(V0,V1) | meet-{T}(V0,V2,V3)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #35: input, references = 3, size of lhs = 5:
% 14.63/14.80 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
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #36: input, references = 9, size of lhs = 6:
% 14.63/14.80 end_point-{F}(V0,V2), end_point-{F}(V1,V2), end_point-{F}(V3,V2), V0 == V1, V3 == V0, V3 == V1 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #37: input, references = 6, size of lhs = 2:
% 14.63/14.80 P_ax0_sk11-{F}(V0,V1,V2), end_point-{F}(V0,V1) | end_point-{T}(V2,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #38: input, references = 4, size of lhs = 2:
% 14.63/14.80 P_ax0_sk11-{F}(V2,V1,V2), end_point-{F}(V2,V1) | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #39: input, references = 3, size of lhs = 4:
% 14.63/14.80 P_sum-{F}(V0,V1,V2), meet-{F}(V3,V0,V1), closed-{F}(V2), end_point-{F}(V5,V0) | meet-{T}(V5,V0,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #40: input, references = 3, size of lhs = 4:
% 14.63/14.80 P_ax0_sk12-{F}(V1,V0,V2), P_sum-{F}(V0,V1,V3), meet-{F}(V4,V0,V1), V2 == V3 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #41: input, references = 3, size of lhs = 2:
% 14.63/14.80 P_ax0_sk13-{F}(V0,V1,V2), V1 == V0 | incident_c-{T}(V2,V1), incident_c-{T}(V2,V0)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #42: input, references = 4, size of lhs = 4:
% 14.63/14.80 P_ax0_sk13-{F}(V0,V1,V2), incident_c-{F}(V2,V0), incident_c-{F}(V2,V1), V1 == V0 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #43: input, references = 4, size of lhs = 1:
% 14.63/14.80 between_c-{F}(V3,V1,V2,V1) | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #44: input, references = 3, size of lhs = 2:
% 14.63/14.80 P_ax1_sk1-{F}(V3,V2,V1,V0,V4), between_c-{F}(V0,V1,V2,V3) | part_of-{T}(V4,V0)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #45: input, references = 3, size of lhs = 2:
% 14.63/14.80 P_ax1_sk1-{F}(V3,V2,V1,V0,V4), between_c-{F}(V0,V1,V2,V3) | end_point-{T}(V1,V4)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #46: input, references = 3, size of lhs = 2:
% 14.63/14.80 P_ax1_sk1-{F}(V3,V2,V1,V0,V4), between_c-{F}(V0,V1,V2,V3) | end_point-{T}(V3,V4)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #47: input, references = 3, size of lhs = 2:
% 14.63/14.80 P_ax1_sk1-{F}(V3,V2,V1,V0,V4), between_c-{F}(V0,V1,V2,V3) | inner_point-{T}(V2,V4)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #48: input, references = 3, size of lhs = 5:
% 14.63/14.80 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)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #49: input, references = 3, size of lhs = 1:
% 14.63/14.80 between_o-{F}(V0,V3,V1,V2) | ordered_by-{T}(V0,V2,V1), ordered_by-{T}(V0,V3,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #50: input, references = 3, size of lhs = 1:
% 14.63/14.80 between_o-{F}(V0,V1,V2,V3) | ordered_by-{T}(V0,V1,V2), ordered_by-{T}(V0,V2,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #51: input, references = 3, size of lhs = 1:
% 14.63/14.80 between_o-{F}(V0,V3,V1,V2) | ordered_by-{T}(V0,V1,V2), ordered_by-{T}(V0,V2,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #52: input, references = 3, size of lhs = 1:
% 14.63/14.80 between_o-{F}(V0,V3,V1,V2) | ordered_by-{T}(V0,V1,V2), ordered_by-{T}(V0,V1,V3)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #53: input, references = 3, size of lhs = 2:
% 14.63/14.80 ordered_by-{F}(V0,V1,V2), ordered_by-{F}(V0,V3,V1) | between_o-{T}(V0,V3,V1,V2)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #54: input, references = 3, size of lhs = 2:
% 14.63/14.80 ordered_by-{F}(V0,V1,V2), ordered_by-{F}(V0,V3,V1) | between_o-{T}(V0,V2,V1,V3)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #55: input, references = 4, size of lhs = 1:
% 14.63/14.80 start_point-{F}(V0,V1) | incident_o-{T}(V0,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #56: input, references = 8, size of lhs = 3:
% 14.63/14.80 incident_o-{F}(V1,V0), start_point-{F}(V2,V0), V2 == V1 | ordered_by-{T}(V0,V2,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #57: input, references = 3, size of lhs = 2:
% 14.63/14.80 P_ax2_sk1-{F}(V1,V2,V2), incident_o-{F}(V2,V1) | start_point-{T}(V2,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #58: input, references = 3, size of lhs = 2:
% 14.63/14.80 P_ax2_sk1-{F}(V1,V0,V2), incident_o-{F}(V0,V1) | incident_o-{T}(V2,V1), start_point-{T}(V0,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #59: input, references = 3, size of lhs = 3:
% 14.63/14.80 P_ax2_sk1-{F}(V1,V0,V2), incident_o-{F}(V0,V1), ordered_by-{F}(V1,V0,V2) | start_point-{T}(V0,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #60: input, references = 3, size of lhs = 1:
% 14.63/14.80 finish_point-{F}(V0,V1) | incident_o-{T}(V0,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #61: input, references = 3, size of lhs = 3:
% 14.63/14.80 incident_o-{F}(V1,V0), finish_point-{F}(V2,V0), V2 == V1 | ordered_by-{T}(V0,V1,V2)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #62: input, references = 3, size of lhs = 2:
% 14.63/14.80 P_ax2_sk2-{F}(V1,V2,V2), incident_o-{F}(V2,V1) | finish_point-{T}(V2,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #63: input, references = 3, size of lhs = 2:
% 14.63/14.80 P_ax2_sk2-{F}(V1,V0,V2), incident_o-{F}(V0,V1) | incident_o-{T}(V2,V1), finish_point-{T}(V0,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #64: input, references = 3, size of lhs = 3:
% 14.63/14.80 P_ax2_sk2-{F}(V1,V0,V2), incident_o-{F}(V0,V1), ordered_by-{F}(V1,V2,V0) | finish_point-{T}(V0,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #65: input, references = 3, size of lhs = 1:
% 14.63/14.80 ordered_by-{F}(V0,V1,V2) | incident_o-{T}(V1,V0)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #66: input, references = 3, size of lhs = 1:
% 14.63/14.80 ordered_by-{F}(V0,V2,V1) | incident_o-{T}(V1,V0)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #67: input, references = 4, size of lhs = 1:
% 14.63/14.80 P_ax2_sk3-{F}(V0,V1) | open-{T}(V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #68: input, references = 6, size of lhs = 2:
% 14.63/14.80 P_ax2_sk3-{F}(V1,V2), incident_o-{F}(V0,V1) | incident_c-{T}(V0,V2)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #69: input, references = 7, size of lhs = 2:
% 14.63/14.80 P_ax2_sk3-{F}(V1,V2), incident_c-{F}(V0,V2) | incident_o-{T}(V0,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #70: input, references = 3, size of lhs = 3:
% 14.63/14.80 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)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #71: input, references = 3, size of lhs = 3:
% 14.63/14.80 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)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #72: input, references = 4, size of lhs = 2:
% 14.63/14.80 P_ax2_sk4-{F}(V0,V3,V2,V1,V4), between_o-{F}(V0,V1,V2,V3) | between_c-{T}(V4,V1,V2,V3)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #73: input, references = 3, size of lhs = 2:
% 14.63/14.80 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)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #74: input, references = 3, size of lhs = 4:
% 14.63/14.80 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)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #75: input, references = 6, size of lhs = 1:
% 14.63/14.80 P_ax2_sk6-{F}(V0,V1) | start_point-{T}(V1,V0)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #76: input, references = 3, size of lhs = 6:
% 14.63/14.80 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)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #77: input, references = 3, size of lhs = 6:
% 14.63/14.80 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)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #78: input, references = 3, size of lhs = 5:
% 14.63/14.80 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)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #79: input, references = 3, size of lhs = 3:
% 14.63/14.80 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)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #80: input, references = 3, size of lhs = 5:
% 14.63/14.80 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
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #81: input, references = 3, size of lhs = 2:
% 14.63/14.80 P_underlying_curve-{F}(V0,V2), incident_o-{F}(V1,V0) | incident_c-{T}(V1,V2)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #82: input, references = 5, size of lhs = 2:
% 14.63/14.80 P_underlying_curve-{F}(V0,V2), incident_c-{F}(V1,V2) | incident_o-{T}(V1,V0)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #83: input, references = 3, size of lhs = 3:
% 14.63/14.80 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)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #84: input, references = 3, size of lhs = 5:
% 14.63/14.80 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
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #85: input, references = 8, size of lhs = 3:
% 14.63/14.80 P_sk25-{F}(V0), ordered_by-{F}(V0,V1,V2), V1 == V2 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #86: input, references = 3, size of lhs = 2:
% 14.63/14.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk1-{T}(V0,V1,V2)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #87: input, references = 3, size of lhs = 2:
% 14.63/14.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_sum-{T}(V0,V1,V2)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #88: input, references = 3, size of lhs = 3:
% 14.63/14.80 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_ax0_sk2-{T}(V0,V1,V2,V3)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #89: input, references = 3, size of lhs = 2:
% 14.63/14.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk3-{T}(V0,V1,V2)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #90: input, references = 3, size of lhs = 2:
% 14.63/14.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk4-{T}(V0,V1,V2)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #91: input, references = 3, size of lhs = 3:
% 14.63/14.80 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_ax0_sk5-{T}(V0,V1,V2,V3)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #92: input, references = 3, size of lhs = 1:
% 14.63/14.80 #-{F} V0 | EXISTS V1: P_ax0_sk6-{T}(V0,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #93: input, references = 6, size of lhs = 1:
% 14.63/14.80 #-{F} V0 | EXISTS V1: P_ax0_sk7-{T}(V0,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #94: input, references = 4, size of lhs = 1:
% 14.63/14.80 #-{F} V0 | EXISTS V1: P_ax0_sk8-{T}(V0,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #95: input, references = 3, size of lhs = 2:
% 14.63/14.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk9-{T}(V0,V1,V2)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #96: input, references = 12, size of lhs = 2:
% 14.63/14.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk10-{T}(V0,V1,V2)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #97: input, references = 6, size of lhs = 2:
% 14.63/14.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk11-{T}(V0,V1,V2)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #98: input, references = 3, size of lhs = 2:
% 14.63/14.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk12-{T}(V0,V1,V2)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #99: input, references = 3, size of lhs = 2:
% 14.63/14.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk13-{T}(V0,V1,V2)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #100: input, references = 3, size of lhs = 4:
% 14.63/14.80 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ax1_sk1-{T}(V0,V1,V2,V3,V4)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #101: input, references = 3, size of lhs = 2:
% 14.63/14.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax2_sk1-{T}(V0,V1,V2)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #102: input, references = 3, size of lhs = 2:
% 14.63/14.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax2_sk2-{T}(V0,V1,V2)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #103: input, references = 4, size of lhs = 1:
% 14.63/14.80 #-{F} V0 | EXISTS V1: P_ax2_sk3-{T}(V0,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #104: input, references = 4, size of lhs = 4:
% 14.63/14.80 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ax2_sk4-{T}(V0,V1,V2,V3,V4)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #105: input, references = 3, size of lhs = 5:
% 14.63/14.80 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_ax2_sk5-{T}(V0,V1,V2,V3,V4,V5)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #106: input, references = 6, size of lhs = 1:
% 14.63/14.80 #-{F} V0 | EXISTS V1: P_ax2_sk6-{T}(V0,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #107: input, references = 3, size of lhs = 3:
% 14.63/14.80 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_ax2_sk7-{T}(V0,V1,V2,V3)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #108: input, references = 3, size of lhs = 2:
% 14.63/14.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax2_sk8-{T}(V0,V1,V2)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #109: input, references = 3, size of lhs = 2:
% 14.63/14.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax2_sk9-{T}(V0,V1,V2)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #110: input, references = 3, size of lhs = 1:
% 14.63/14.80 #-{F} V0 | EXISTS V1: P_underlying_curve-{T}(V0,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #111: input, references = 3, size of lhs = 2:
% 14.63/14.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax2_sk10-{T}(V0,V1,V2)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #112: input, references = 4, size of lhs = 0:
% 14.63/14.80 FALSE | EXISTS V0: P_sk25-{T}(V0)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 number of initial rules = 113
% 14.63/14.80
% 14.63/14.80 Simplifiers:
% 14.63/14.80 #113: unsound, references = 3, size of lhs = 3:
% 14.63/14.80 P_ax0_sk1-{F}(V0,V1,V2), P_ax0_sk1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #114: unsound, references = 3, size of lhs = 3:
% 14.63/14.80 P_sum-{F}(V0,V1,V2), P_sum-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #115: unsound, references = 3, size of lhs = 3:
% 14.63/14.80 P_ax0_sk2-{F}(V0,V1,V2,V3), P_ax0_sk2-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #116: unsound, references = 3, size of lhs = 3:
% 14.63/14.80 P_ax0_sk3-{F}(V0,V1,V2), P_ax0_sk3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #117: unsound, references = 3, size of lhs = 3:
% 14.63/14.80 P_ax0_sk4-{F}(V0,V1,V2), P_ax0_sk4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #118: unsound, references = 3, size of lhs = 3:
% 14.63/14.80 P_ax0_sk5-{F}(V0,V1,V2,V3), P_ax0_sk5-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #119: unsound, references = 3, size of lhs = 3:
% 14.63/14.80 P_ax0_sk6-{F}(V0,V1), P_ax0_sk6-{F}(V0,V3), V1 == V3 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #120: unsound, references = 3, size of lhs = 3:
% 14.63/14.80 P_ax0_sk7-{F}(V0,V1), P_ax0_sk7-{F}(V0,V3), V1 == V3 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #121: unsound, references = 3, size of lhs = 3:
% 14.63/14.80 P_ax0_sk8-{F}(V0,V1), P_ax0_sk8-{F}(V0,V3), V1 == V3 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #122: unsound, references = 3, size of lhs = 3:
% 14.63/14.80 P_ax0_sk9-{F}(V0,V1,V2), P_ax0_sk9-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #123: unsound, references = 3, size of lhs = 3:
% 14.63/14.80 P_ax0_sk10-{F}(V0,V1,V2), P_ax0_sk10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #124: unsound, references = 3, size of lhs = 3:
% 14.63/14.80 P_ax0_sk11-{F}(V0,V1,V2), P_ax0_sk11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #125: unsound, references = 3, size of lhs = 3:
% 14.63/14.80 P_ax0_sk12-{F}(V0,V1,V2), P_ax0_sk12-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #126: unsound, references = 3, size of lhs = 3:
% 14.63/14.80 P_ax0_sk13-{F}(V0,V1,V2), P_ax0_sk13-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #127: unsound, references = 3, size of lhs = 3:
% 14.63/14.80 P_ax1_sk1-{F}(V0,V1,V2,V3,V4), P_ax1_sk1-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #128: unsound, references = 3, size of lhs = 3:
% 14.63/14.80 P_ax2_sk1-{F}(V0,V1,V2), P_ax2_sk1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #129: unsound, references = 3, size of lhs = 3:
% 14.63/14.80 P_ax2_sk2-{F}(V0,V1,V2), P_ax2_sk2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #130: unsound, references = 3, size of lhs = 3:
% 14.63/14.80 P_ax2_sk3-{F}(V0,V1), P_ax2_sk3-{F}(V0,V3), V1 == V3 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #131: unsound, references = 3, size of lhs = 3:
% 14.63/14.80 P_ax2_sk4-{F}(V0,V1,V2,V3,V4), P_ax2_sk4-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #132: unsound, references = 3, size of lhs = 3:
% 14.63/14.80 P_ax2_sk5-{F}(V0,V1,V2,V3,V4,V5), P_ax2_sk5-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #133: unsound, references = 3, size of lhs = 3:
% 14.63/14.80 P_ax2_sk6-{F}(V0,V1), P_ax2_sk6-{F}(V0,V3), V1 == V3 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #134: unsound, references = 3, size of lhs = 3:
% 14.63/14.80 P_ax2_sk7-{F}(V0,V1,V2,V3), P_ax2_sk7-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #135: unsound, references = 3, size of lhs = 3:
% 14.63/14.80 P_ax2_sk8-{F}(V0,V1,V2), P_ax2_sk8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #136: unsound, references = 3, size of lhs = 3:
% 14.63/14.80 P_ax2_sk9-{F}(V0,V1,V2), P_ax2_sk9-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #137: unsound, references = 3, size of lhs = 3:
% 14.63/14.80 P_underlying_curve-{F}(V0,V1), P_underlying_curve-{F}(V0,V3), V1 == V3 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #138: unsound, references = 3, size of lhs = 3:
% 14.63/14.80 P_ax2_sk10-{F}(V0,V1,V2), P_ax2_sk10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #139: unsound, references = 3, size of lhs = 3:
% 14.63/14.80 P_sk25-{F}(V0), P_sk25-{F}(V1), V0 == V1 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 number of simplifiers = 27
% 14.63/14.80
% 14.63/14.80 Learnt:
% 14.63/14.80 #147: exists( #106, #145 ), references = 1, size of lhs = 2:
% 14.63/14.80 P_sk25-{F}(V0), incident_o-{F}(V1,V0) | P_ax2_sk6-{T}(V0,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #159: exists( #96, #157 ), references = 1, size of lhs = 4:
% 14.63/14.80 inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), incident_c-{F}(V0,V2), inner_point-{F}(V0,V2) | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #165: exists( #96, #163 ), references = 1, size of lhs = 6:
% 14.63/14.80 P_sk25-{F}(V0), P_ax2_sk3-{F}(V0,V1), start_point-{F}(V2,V0), inner_point-{F}(V3,V4), V2 == V3, P_ax0_sk9-{F}(V3,V4,V1) | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #174: disj( #28, input ), references = 1, size of lhs = 2:
% 14.63/14.80 P_ax0_sk6-{F}(V0,V1), inner_point-{F}(V1,V0) | closed-{T}(V0)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #175: disj( #28, input ), references = 1, size of lhs = 2:
% 14.63/14.80 P_ax0_sk6-{F}(V0,V1), P_ax0_sk11-{F}(V1,V0,V1) | closed-{T}(V0)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #241: exists( #97, #239 ), references = 1, size of lhs = 4:
% 14.63/14.80 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)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #244: exists( #93, #242 ), references = 1, size of lhs = 4:
% 14.63/14.80 open-{F}(V0), end_point-{F}(V1,V0), end_point-{F}(V2,V0), V2 == V1 | P_ax0_sk7-{T}(V0,V1), P_ax0_sk7-{T}(V0,V2)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #294: exists( #96, #292 ), references = 1, size of lhs = 5:
% 14.63/14.80 inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), incident_c-{F}(V0,V3), V2 == V3, P_ax0_sk13-{F}(V3,V2,V0) | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #303: exists( #96, #299 ), references = 2, size of lhs = 4:
% 14.63/14.80 closed-{F}(V0), incident_c-{F}(V1,V0), inner_point-{F}(V1,V2), P_ax0_sk9-{F}(V1,V2,V0) | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #304: exists( #96, #300 ), references = 1, size of lhs = 4:
% 14.63/14.80 inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), incident_c-{F}(V0,V2), P_ax0_sk11-{F}(V0,V2,V0) | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #362: exists( #106, #360 ), references = 1, size of lhs = 4:
% 14.63/14.80 P_sk25-{F}(V0), P_ax2_sk3-{F}(V0,V1), start_point-{F}(V2,V0), P_ax2_sk3-{F}(V3,V1) | P_ax2_sk6-{T}(V3,V2)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #460: exists( #96, #456 ), references = 1, size of lhs = 7:
% 14.63/14.80 inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), P_underlying_curve-{F}(V3,V2), P_ax2_sk3-{F}(V3,V4), incident_c-{F}(V0,V5), inner_point-{F}(V0,V5), meet-{F}(V6,V5,V4) | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #461: exists( #96, #457 ), references = 1, size of lhs = 11:
% 14.63/14.80 inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), P_underlying_curve-{F}(V3,V2), P_ax2_sk3-{F}(V3,V4), incident_c-{F}(V0,V5), meet-{F}(V6,V5,V4), end_point-{F}(V7,V5), V7 == V0, end_point-{F}(V8,V5), V8 == V7, V8 == V0 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #465: exists( #104, #463 ), references = 1, size of lhs = 1:
% 14.63/14.80 between_o-{F}(V0,V1,V2,V1) | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #535: exists( #96, #533 ), references = 3, size of lhs = 7:
% 14.63/14.80 inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), end_point-{F}(V3,V2), V3 == V0, end_point-{F}(V4,V2), V4 == V3, V4 == V0 | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #543: exists( #96, #539 ), references = 1, size of lhs = 5:
% 14.63/14.80 closed-{F}(V0), inner_point-{F}(V1,V2), P_ax0_sk9-{F}(V1,V2,V0), inner_point-{F}(V1,V3), P_ax0_sk9-{F}(V1,V3,V0) | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #568: mergings( V3 == V0; #564 ), references = 1, size of lhs = 4:
% 14.63/14.80 end_point-{F}(V0,V1), inner_point-{F}(V2,V3), V0 == V2, P_ax0_sk9-{F}(V2,V3,V1) | P_ax0_sk11-{T}(V0,V1,V0), P_ax0_sk11-{T}(V0,V1,V2)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #606: disj( #600, input ), references = 1, size of lhs = 3:
% 14.63/14.80 end_point-{F}(V0,V1), end_point-{F}(V2,V1), V2 == V0 | P_ax0_sk11-{T}(V2,V1,V0)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #617: exists( #93, #613 ), references = 1, size of lhs = 5:
% 14.63/14.80 open-{F}(V0), end_point-{F}(V1,V0), inner_point-{F}(V2,V3), V1 == V2, P_ax0_sk9-{F}(V2,V3,V0) | P_ax0_sk7-{T}(V0,V1), P_ax0_sk7-{T}(V0,V2)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #704: disj( #19, exists( #96, #533 ) ), references = 1, size of lhs = 7:
% 14.63/14.80 incident_c-{F}(V0,V1), end_point-{F}(V2,V1), V0 == V2, inner_point-{F}(V3,V4), V2 == V3, V0 == V3, P_ax0_sk9-{F}(V3,V4,V1) | inner_point-{T}(V0,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #705: disj( #19, input ), references = 1, size of lhs = 6:
% 14.63/14.80 incident_c-{F}(V0,V1), end_point-{F}(V2,V1), V2 == V0, end_point-{F}(V3,V1), V3 == V2, V3 == V0 | inner_point-{T}(V0,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #834: disj( #19, exists( #96, #539 ) ), references = 1, size of lhs = 3:
% 14.63/14.80 closed-{F}(V0), incident_c-{F}(V1,V2), P_ax0_sk9-{F}(V1,V2,V0) | end_point-{T}(V1,V2)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #835: disj( #19, exists( #96, #292 ) ), references = 1, size of lhs = 5:
% 14.63/14.80 incident_c-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), incident_c-{F}(V0,V3), V2 == V3, P_ax0_sk13-{F}(V3,V2,V0) | end_point-{T}(V0,V1)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #939: disj( #19, input ), references = 1, size of lhs = 2:
% 14.63/14.80 closed-{F}(V0), incident_c-{F}(V1,V0) | inner_point-{T}(V1,V0)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #961: exists( #96, #959 ), references = 1, size of lhs = 4:
% 14.63/14.80 inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), P_ax0_sk7-{F}(V2,V3), inner_point-{F}(V3,V2) | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #1024: disj( #28, #9+#8 ), references = 1, size of lhs = 4:
% 14.63/14.80 P_ax0_sk6-{F}(V0,V1), P_ax0_sk2-{F}(V0,V2,V0,V1), P_sum-{F}(V2,V0,V3), V0 == V3 | closed-{T}(V0)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #1025: disj( #28, #9+#7 ), references = 1, size of lhs = 5:
% 14.63/14.80 P_ax0_sk6-{F}(V0,V1), incident_c-{F}(V1,V2), P_ax0_sk2-{F}(V3,V2,V0,V1), P_sum-{F}(V2,V3,V4), V0 == V4 | closed-{T}(V0)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #1107: exists( #94, #1103 ), references = 1, size of lhs = 3:
% 14.63/14.80 P_sk25-{F}(V0), P_ax2_sk3-{F}(V0,V1), start_point-{F}(V2,V0) | P_ax0_sk8-{T}(V1,V2)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #1230: exists( #96, #1226 ), references = 1, size of lhs = 5:
% 14.63/14.80 inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), incident_c-{F}(V0,V3), inner_point-{F}(V0,V3), meet-{F}(V4,V2,V3) | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #1231: exists( #96, #1227 ), references = 1, size of lhs = 9:
% 14.63/14.80 inner_point-{F}(V0,V1), P_ax0_sk9-{F}(V0,V1,V2), incident_c-{F}(V0,V3), end_point-{F}(V4,V3), V4 == V0, end_point-{F}(V5,V3), V5 == V4, V5 == V0, meet-{F}(V6,V2,V3) | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #1248: exists( #93, #1246 ), references = 1, size of lhs = 4:
% 14.63/14.80 open-{F}(V0), P_sk25-{F}(V1), P_ax2_sk3-{F}(V1,V0), start_point-{F}(V2,V1) | P_ax0_sk7-{T}(V0,V2)
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #1255: exists( #106, #1253 ), references = 1, size of lhs = 3:
% 14.63/14.80 open-{F}(V0), P_sk25-{F}(V1), P_ax2_sk3-{F}(V1,V0) | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #1258: exists( #103, #1256 ), references = 1, size of lhs = 1:
% 14.63/14.80 P_sk25-{F}(V0) | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 #1260: exists( #112, #1257 ), references = 1, size of lhs = 0:
% 14.63/14.80 FALSE | FALSE
% 14.63/14.80 (used 0 times, uses = {})
% 14.63/14.80
% 14.63/14.80 number of learnt formulas = 34
% 14.63/14.80
% 14.63/14.80
% 14.63/14.80 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.63/14.80
% 14.63/14.80 randbase = 1
%------------------------------------------------------------------------------