TSTP Solution File: GEO124-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO124-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n005.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 2.13s 2.32s
% Output : Refutation 2.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GEO124-1 : TPTP v8.1.0. Released v2.4.0.
% 0.09/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n005.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 17:50:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.13/2.32 GeoParameters:
% 2.13/2.32
% 2.13/2.32 tptp_input = 1
% 2.13/2.32 tptp_output = 0
% 2.13/2.32 nonempty = 1
% 2.13/2.32 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.13/2.32 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.13/2.32
% 2.13/2.32
% 2.13/2.32 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.13/2.32 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.13/2.32
% 2.13/2.32 RuleSystem INPUT:
% 2.13/2.32
% 2.13/2.32 Initial Rules:
% 2.13/2.32 #0: input, references = 3, size of lhs = 2:
% 2.13/2.32 part_of-{F}(V2,V0), incident_c-{F}(V1,V2) | incident_c-{T}(V1,V0)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #1: input, references = 3, size of lhs = 1:
% 2.13/2.32 P_ax0_sk1-{F}(V0,V1,V2) | incident_c-{T}(V2,V0), part_of-{T}(V0,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #2: input, references = 3, size of lhs = 2:
% 2.13/2.32 P_ax0_sk1-{F}(V0,V1,V2), incident_c-{F}(V2,V1) | part_of-{T}(V0,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #3: input, references = 3, size of lhs = 2:
% 2.13/2.32 P_sum-{F}(V2,V0,V3), incident_c-{F}(V1,V3) | incident_c-{T}(V1,V0), incident_c-{T}(V1,V2)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #4: input, references = 5, size of lhs = 2:
% 2.13/2.32 incident_c-{F}(V1,V0), P_sum-{F}(V0,V3,V4) | incident_c-{T}(V1,V4)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #5: input, references = 3, size of lhs = 2:
% 2.13/2.32 incident_c-{F}(V1,V0), P_sum-{F}(V3,V0,V4) | incident_c-{T}(V1,V4)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #6: input, references = 3, size of lhs = 3:
% 2.13/2.32 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)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #7: input, references = 5, size of lhs = 5:
% 2.13/2.32 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
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #8: input, references = 5, size of lhs = 5:
% 2.13/2.32 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
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #9: input, references = 4, size of lhs = 1:
% 2.13/2.32 end_point-{F}(V0,V1) | incident_c-{T}(V0,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #10: input, references = 3, size of lhs = 5:
% 2.13/2.32 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)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #11: input, references = 3, size of lhs = 2:
% 2.13/2.32 P_ax0_sk3-{F}(V1,V0,V2), incident_c-{F}(V0,V1) | part_of-{T}(V2,V1), end_point-{T}(V0,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #12: input, references = 3, size of lhs = 2:
% 2.13/2.32 P_ax0_sk4-{F}(V1,V0,V2), incident_c-{F}(V0,V1) | part_of-{T}(V2,V1), end_point-{T}(V0,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #13: input, references = 3, size of lhs = 2:
% 2.13/2.32 P_ax0_sk3-{F}(V1,V0,V2), incident_c-{F}(V0,V1) | incident_c-{T}(V0,V2), end_point-{T}(V0,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #14: input, references = 3, size of lhs = 2:
% 2.13/2.32 P_ax0_sk4-{F}(V1,V0,V2), incident_c-{F}(V0,V1) | incident_c-{T}(V0,V2), end_point-{T}(V0,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #15: input, references = 3, size of lhs = 4:
% 2.13/2.32 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)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #16: input, references = 3, size of lhs = 4:
% 2.13/2.32 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)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #17: input, references = 6, size of lhs = 1:
% 2.13/2.32 inner_point-{F}(V0,V1) | incident_c-{T}(V0,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #18: input, references = 4, size of lhs = 2:
% 2.13/2.32 inner_point-{F}(V0,V1), end_point-{F}(V0,V1) | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #19: input, references = 3, size of lhs = 1:
% 2.13/2.32 incident_c-{F}(V0,V1) | end_point-{T}(V0,V1), inner_point-{T}(V0,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #20: input, references = 5, size of lhs = 1:
% 2.13/2.32 meet-{F}(V0,V1,V2) | incident_c-{T}(V0,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #21: input, references = 3, size of lhs = 1:
% 2.13/2.32 meet-{F}(V0,V2,V1) | incident_c-{T}(V0,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #22: input, references = 5, size of lhs = 3:
% 2.13/2.32 incident_c-{F}(V1,V0), incident_c-{F}(V1,V2), meet-{F}(V3,V0,V2) | end_point-{T}(V1,V0)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #23: input, references = 3, size of lhs = 3:
% 2.13/2.32 incident_c-{F}(V1,V0), incident_c-{F}(V1,V2), meet-{F}(V3,V2,V0) | end_point-{T}(V1,V0)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #24: input, references = 3, size of lhs = 3:
% 2.13/2.32 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)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #25: input, references = 3, size of lhs = 3:
% 2.13/2.32 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)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #26: input, references = 3, size of lhs = 5:
% 2.13/2.32 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)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #27: input, references = 3, size of lhs = 2:
% 2.13/2.32 closed-{F}(V0), end_point-{F}(V1,V0) | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #28: input, references = 3, size of lhs = 1:
% 2.13/2.32 P_ax0_sk6-{F}(V0,V1) | end_point-{T}(V1,V0), closed-{T}(V0)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #29: input, references = 5, size of lhs = 2:
% 2.13/2.32 P_ax0_sk7-{F}(V0,V1), open-{F}(V0) | end_point-{T}(V1,V0)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #30: input, references = 3, size of lhs = 1:
% 2.13/2.32 end_point-{F}(V1,V0) | open-{T}(V0)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #31: input, references = 3, size of lhs = 2:
% 2.13/2.32 part_of-{F}(V0,V1), V0 == V1 | open-{T}(V0)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #32: input, references = 3, size of lhs = 6:
% 2.13/2.32 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)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #33: input, references = 6, size of lhs = 1:
% 2.13/2.32 P_ax0_sk8-{F}(V0,V1) | inner_point-{T}(V1,V0)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #34: input, references = 5, size of lhs = 3:
% 2.13/2.32 P_ax0_sk9-{F}(V0,V1,V2), P_ax0_sk10-{F}(V0,V1,V3), inner_point-{F}(V0,V1) | meet-{T}(V0,V2,V3)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #35: input, references = 3, size of lhs = 5:
% 2.13/2.32 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
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #36: input, references = 5, size of lhs = 6:
% 2.13/2.32 end_point-{F}(V0,V2), end_point-{F}(V1,V2), end_point-{F}(V3,V2), V0 == V1, V3 == V0, V3 == V1 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #37: input, references = 3, size of lhs = 2:
% 2.13/2.32 P_ax0_sk11-{F}(V0,V1,V2), end_point-{F}(V0,V1) | end_point-{T}(V2,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #38: input, references = 3, size of lhs = 2:
% 2.13/2.32 P_ax0_sk11-{F}(V2,V1,V2), end_point-{F}(V2,V1) | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #39: input, references = 3, size of lhs = 4:
% 2.13/2.32 P_sum-{F}(V0,V1,V2), meet-{F}(V3,V0,V1), closed-{F}(V2), end_point-{F}(V5,V0) | meet-{T}(V5,V0,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #40: input, references = 3, size of lhs = 4:
% 2.13/2.32 P_ax0_sk12-{F}(V1,V0,V2), P_sum-{F}(V0,V1,V3), meet-{F}(V4,V0,V1), V2 == V3 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #41: input, references = 3, size of lhs = 2:
% 2.13/2.32 P_ax0_sk13-{F}(V0,V1,V2), V1 == V0 | incident_c-{T}(V2,V1), incident_c-{T}(V2,V0)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #42: input, references = 3, size of lhs = 4:
% 2.13/2.32 P_ax0_sk13-{F}(V0,V1,V2), incident_c-{F}(V2,V0), incident_c-{F}(V2,V1), V1 == V0 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #43: input, references = 4, size of lhs = 1:
% 2.13/2.32 between_c-{F}(V3,V1,V2,V1) | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #44: input, references = 3, size of lhs = 2:
% 2.13/2.32 P_ax1_sk1-{F}(V3,V2,V1,V0,V4), between_c-{F}(V0,V1,V2,V3) | part_of-{T}(V4,V0)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #45: input, references = 3, size of lhs = 2:
% 2.13/2.32 P_ax1_sk1-{F}(V3,V2,V1,V0,V4), between_c-{F}(V0,V1,V2,V3) | end_point-{T}(V1,V4)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #46: input, references = 3, size of lhs = 2:
% 2.13/2.32 P_ax1_sk1-{F}(V3,V2,V1,V0,V4), between_c-{F}(V0,V1,V2,V3) | end_point-{T}(V3,V4)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #47: input, references = 3, size of lhs = 2:
% 2.13/2.32 P_ax1_sk1-{F}(V3,V2,V1,V0,V4), between_c-{F}(V0,V1,V2,V3) | inner_point-{T}(V2,V4)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #48: input, references = 3, size of lhs = 5:
% 2.13/2.32 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)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #49: input, references = 3, size of lhs = 1:
% 2.13/2.32 between_o-{F}(V0,V3,V1,V2) | ordered_by-{T}(V0,V2,V1), ordered_by-{T}(V0,V3,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #50: input, references = 3, size of lhs = 1:
% 2.13/2.32 between_o-{F}(V0,V1,V2,V3) | ordered_by-{T}(V0,V1,V2), ordered_by-{T}(V0,V2,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #51: input, references = 3, size of lhs = 1:
% 2.13/2.32 between_o-{F}(V0,V3,V1,V2) | ordered_by-{T}(V0,V1,V2), ordered_by-{T}(V0,V2,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #52: input, references = 3, size of lhs = 1:
% 2.13/2.32 between_o-{F}(V0,V3,V1,V2) | ordered_by-{T}(V0,V1,V2), ordered_by-{T}(V0,V1,V3)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #53: input, references = 4, size of lhs = 2:
% 2.13/2.32 ordered_by-{F}(V0,V1,V2), ordered_by-{F}(V0,V3,V1) | between_o-{T}(V0,V3,V1,V2)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #54: input, references = 3, size of lhs = 2:
% 2.13/2.32 ordered_by-{F}(V0,V1,V2), ordered_by-{F}(V0,V3,V1) | between_o-{T}(V0,V2,V1,V3)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #55: input, references = 5, size of lhs = 1:
% 2.13/2.32 start_point-{F}(V0,V1) | incident_o-{T}(V0,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #56: input, references = 5, size of lhs = 3:
% 2.13/2.32 incident_o-{F}(V1,V0), start_point-{F}(V2,V0), V2 == V1 | ordered_by-{T}(V0,V2,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #57: input, references = 3, size of lhs = 2:
% 2.13/2.32 P_ax2_sk1-{F}(V1,V2,V2), incident_o-{F}(V2,V1) | start_point-{T}(V2,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #58: input, references = 3, size of lhs = 2:
% 2.13/2.32 P_ax2_sk1-{F}(V1,V0,V2), incident_o-{F}(V0,V1) | incident_o-{T}(V2,V1), start_point-{T}(V0,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #59: input, references = 3, size of lhs = 3:
% 2.13/2.32 P_ax2_sk1-{F}(V1,V0,V2), incident_o-{F}(V0,V1), ordered_by-{F}(V1,V0,V2) | start_point-{T}(V0,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #60: input, references = 3, size of lhs = 1:
% 2.13/2.32 finish_point-{F}(V0,V1) | incident_o-{T}(V0,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #61: input, references = 3, size of lhs = 3:
% 2.13/2.32 incident_o-{F}(V1,V0), finish_point-{F}(V2,V0), V2 == V1 | ordered_by-{T}(V0,V1,V2)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #62: input, references = 3, size of lhs = 2:
% 2.13/2.32 P_ax2_sk2-{F}(V1,V2,V2), incident_o-{F}(V2,V1) | finish_point-{T}(V2,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #63: input, references = 3, size of lhs = 2:
% 2.13/2.32 P_ax2_sk2-{F}(V1,V0,V2), incident_o-{F}(V0,V1) | incident_o-{T}(V2,V1), finish_point-{T}(V0,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #64: input, references = 3, size of lhs = 3:
% 2.13/2.32 P_ax2_sk2-{F}(V1,V0,V2), incident_o-{F}(V0,V1), ordered_by-{F}(V1,V2,V0) | finish_point-{T}(V0,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #65: input, references = 3, size of lhs = 1:
% 2.13/2.32 ordered_by-{F}(V0,V1,V2) | incident_o-{T}(V1,V0)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #66: input, references = 3, size of lhs = 1:
% 2.13/2.32 ordered_by-{F}(V0,V2,V1) | incident_o-{T}(V1,V0)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #67: input, references = 3, size of lhs = 1:
% 2.13/2.32 P_ax2_sk3-{F}(V0,V1) | open-{T}(V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #68: input, references = 3, size of lhs = 2:
% 2.13/2.32 P_ax2_sk3-{F}(V1,V2), incident_o-{F}(V0,V1) | incident_c-{T}(V0,V2)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #69: input, references = 7, size of lhs = 2:
% 2.13/2.32 P_ax2_sk3-{F}(V1,V2), incident_c-{F}(V0,V2) | incident_o-{T}(V0,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #70: input, references = 3, size of lhs = 3:
% 2.13/2.32 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)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #71: input, references = 3, size of lhs = 3:
% 2.13/2.32 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)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #72: input, references = 4, size of lhs = 2:
% 2.13/2.32 P_ax2_sk4-{F}(V0,V3,V2,V1,V4), between_o-{F}(V0,V1,V2,V3) | between_c-{T}(V4,V1,V2,V3)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #73: input, references = 3, size of lhs = 2:
% 2.13/2.32 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)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #74: input, references = 3, size of lhs = 4:
% 2.13/2.32 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)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #75: input, references = 3, size of lhs = 1:
% 2.13/2.32 P_ax2_sk6-{F}(V0,V1) | start_point-{T}(V1,V0)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #76: input, references = 3, size of lhs = 6:
% 2.13/2.32 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)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #77: input, references = 3, size of lhs = 6:
% 2.13/2.32 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)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #78: input, references = 3, size of lhs = 5:
% 2.13/2.32 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)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #79: input, references = 3, size of lhs = 3:
% 2.13/2.32 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)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #80: input, references = 3, size of lhs = 5:
% 2.13/2.32 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
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #81: input, references = 7, size of lhs = 2:
% 2.13/2.32 P_underlying_curve-{F}(V0,V2), incident_o-{F}(V1,V0) | incident_c-{T}(V1,V2)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #82: input, references = 3, size of lhs = 2:
% 2.13/2.32 P_underlying_curve-{F}(V0,V2), incident_c-{F}(V1,V2) | incident_o-{T}(V1,V0)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #83: input, references = 3, size of lhs = 3:
% 2.13/2.32 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)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #84: input, references = 3, size of lhs = 5:
% 2.13/2.32 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
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #85: input, references = 4, size of lhs = 2:
% 2.13/2.32 P_sk26-{F}(V0), P_sk25-{F}(V1) | start_point-{T}(V0,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #86: input, references = 4, size of lhs = 3:
% 2.13/2.32 P_sk26-{F}(V0), P_sk25-{F}(V1), P_sk27-{F}(V2) | start_point-{T}(V2,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #87: input, references = 4, size of lhs = 3:
% 2.13/2.32 P_sk26-{F}(V2), P_sk25-{F}(V1), P_sk27-{F}(V2) | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #88: input, references = 3, size of lhs = 2:
% 2.13/2.32 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk1-{T}(V0,V1,V2)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #89: input, references = 3, size of lhs = 2:
% 2.13/2.32 #-{F} V0, #-{F} V1 | EXISTS V2: P_sum-{T}(V0,V1,V2)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #90: input, references = 3, size of lhs = 3:
% 2.13/2.32 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_ax0_sk2-{T}(V0,V1,V2,V3)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #91: input, references = 3, size of lhs = 2:
% 2.13/2.32 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk3-{T}(V0,V1,V2)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #92: input, references = 3, size of lhs = 2:
% 2.13/2.32 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk4-{T}(V0,V1,V2)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #93: input, references = 3, size of lhs = 3:
% 2.13/2.32 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_ax0_sk5-{T}(V0,V1,V2,V3)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #94: input, references = 3, size of lhs = 1:
% 2.13/2.32 #-{F} V0 | EXISTS V1: P_ax0_sk6-{T}(V0,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #95: input, references = 4, size of lhs = 1:
% 2.13/2.32 #-{F} V0 | EXISTS V1: P_ax0_sk7-{T}(V0,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #96: input, references = 4, size of lhs = 1:
% 2.13/2.32 #-{F} V0 | EXISTS V1: P_ax0_sk8-{T}(V0,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #97: input, references = 3, size of lhs = 2:
% 2.13/2.32 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk9-{T}(V0,V1,V2)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #98: input, references = 4, size of lhs = 2:
% 2.13/2.32 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk10-{T}(V0,V1,V2)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #99: input, references = 3, size of lhs = 2:
% 2.13/2.32 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk11-{T}(V0,V1,V2)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #100: input, references = 3, size of lhs = 2:
% 2.13/2.32 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk12-{T}(V0,V1,V2)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #101: input, references = 3, size of lhs = 2:
% 2.13/2.32 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax0_sk13-{T}(V0,V1,V2)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #102: input, references = 3, size of lhs = 4:
% 2.13/2.32 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ax1_sk1-{T}(V0,V1,V2,V3,V4)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #103: input, references = 3, size of lhs = 2:
% 2.13/2.32 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax2_sk1-{T}(V0,V1,V2)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #104: input, references = 3, size of lhs = 2:
% 2.13/2.32 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax2_sk2-{T}(V0,V1,V2)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #105: input, references = 3, size of lhs = 1:
% 2.13/2.32 #-{F} V0 | EXISTS V1: P_ax2_sk3-{T}(V0,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #106: input, references = 4, size of lhs = 4:
% 2.13/2.32 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ax2_sk4-{T}(V0,V1,V2,V3,V4)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #107: input, references = 3, size of lhs = 5:
% 2.13/2.32 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4 | EXISTS V5: P_ax2_sk5-{T}(V0,V1,V2,V3,V4,V5)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #108: input, references = 3, size of lhs = 1:
% 2.13/2.32 #-{F} V0 | EXISTS V1: P_ax2_sk6-{T}(V0,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #109: input, references = 3, size of lhs = 3:
% 2.13/2.32 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_ax2_sk7-{T}(V0,V1,V2,V3)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #110: input, references = 3, size of lhs = 2:
% 2.13/2.32 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax2_sk8-{T}(V0,V1,V2)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #111: input, references = 3, size of lhs = 2:
% 2.13/2.32 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax2_sk9-{T}(V0,V1,V2)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #112: input, references = 3, size of lhs = 1:
% 2.13/2.32 #-{F} V0 | EXISTS V1: P_underlying_curve-{T}(V0,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #113: input, references = 3, size of lhs = 2:
% 2.13/2.32 #-{F} V0, #-{F} V1 | EXISTS V2: P_ax2_sk10-{T}(V0,V1,V2)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #114: input, references = 4, size of lhs = 0:
% 2.13/2.32 FALSE | EXISTS V0: P_sk26-{T}(V0)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #115: input, references = 4, size of lhs = 0:
% 2.13/2.32 FALSE | EXISTS V0: P_sk25-{T}(V0)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #116: input, references = 4, size of lhs = 0:
% 2.13/2.32 FALSE | EXISTS V0: P_sk27-{T}(V0)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 number of initial rules = 117
% 2.13/2.32
% 2.13/2.32 Simplifiers:
% 2.13/2.32 #117: unsound, references = 3, size of lhs = 3:
% 2.13/2.32 P_ax0_sk1-{F}(V0,V1,V2), P_ax0_sk1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #118: unsound, references = 3, size of lhs = 3:
% 2.13/2.32 P_sum-{F}(V0,V1,V2), P_sum-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #119: unsound, references = 3, size of lhs = 3:
% 2.13/2.32 P_ax0_sk2-{F}(V0,V1,V2,V3), P_ax0_sk2-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #120: unsound, references = 3, size of lhs = 3:
% 2.13/2.32 P_ax0_sk3-{F}(V0,V1,V2), P_ax0_sk3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #121: unsound, references = 3, size of lhs = 3:
% 2.13/2.32 P_ax0_sk4-{F}(V0,V1,V2), P_ax0_sk4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #122: unsound, references = 3, size of lhs = 3:
% 2.13/2.32 P_ax0_sk5-{F}(V0,V1,V2,V3), P_ax0_sk5-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #123: unsound, references = 3, size of lhs = 3:
% 2.13/2.32 P_ax0_sk6-{F}(V0,V1), P_ax0_sk6-{F}(V0,V3), V1 == V3 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #124: unsound, references = 3, size of lhs = 3:
% 2.13/2.32 P_ax0_sk7-{F}(V0,V1), P_ax0_sk7-{F}(V0,V3), V1 == V3 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #125: unsound, references = 3, size of lhs = 3:
% 2.13/2.32 P_ax0_sk8-{F}(V0,V1), P_ax0_sk8-{F}(V0,V3), V1 == V3 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #126: unsound, references = 3, size of lhs = 3:
% 2.13/2.32 P_ax0_sk9-{F}(V0,V1,V2), P_ax0_sk9-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #127: unsound, references = 3, size of lhs = 3:
% 2.13/2.32 P_ax0_sk10-{F}(V0,V1,V2), P_ax0_sk10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #128: unsound, references = 3, size of lhs = 3:
% 2.13/2.32 P_ax0_sk11-{F}(V0,V1,V2), P_ax0_sk11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #129: unsound, references = 3, size of lhs = 3:
% 2.13/2.32 P_ax0_sk12-{F}(V0,V1,V2), P_ax0_sk12-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #130: unsound, references = 3, size of lhs = 3:
% 2.13/2.32 P_ax0_sk13-{F}(V0,V1,V2), P_ax0_sk13-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #131: unsound, references = 3, size of lhs = 3:
% 2.13/2.32 P_ax1_sk1-{F}(V0,V1,V2,V3,V4), P_ax1_sk1-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #132: unsound, references = 3, size of lhs = 3:
% 2.13/2.32 P_ax2_sk1-{F}(V0,V1,V2), P_ax2_sk1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #133: unsound, references = 3, size of lhs = 3:
% 2.13/2.32 P_ax2_sk2-{F}(V0,V1,V2), P_ax2_sk2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #134: unsound, references = 3, size of lhs = 3:
% 2.13/2.32 P_ax2_sk3-{F}(V0,V1), P_ax2_sk3-{F}(V0,V3), V1 == V3 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #135: unsound, references = 3, size of lhs = 3:
% 2.13/2.32 P_ax2_sk4-{F}(V0,V1,V2,V3,V4), P_ax2_sk4-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #136: unsound, references = 3, size of lhs = 3:
% 2.13/2.32 P_ax2_sk5-{F}(V0,V1,V2,V3,V4,V5), P_ax2_sk5-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #137: unsound, references = 3, size of lhs = 3:
% 2.13/2.32 P_ax2_sk6-{F}(V0,V1), P_ax2_sk6-{F}(V0,V3), V1 == V3 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #138: unsound, references = 3, size of lhs = 3:
% 2.13/2.32 P_ax2_sk7-{F}(V0,V1,V2,V3), P_ax2_sk7-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #139: unsound, references = 3, size of lhs = 3:
% 2.13/2.32 P_ax2_sk8-{F}(V0,V1,V2), P_ax2_sk8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #140: unsound, references = 3, size of lhs = 3:
% 2.13/2.32 P_ax2_sk9-{F}(V0,V1,V2), P_ax2_sk9-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #141: unsound, references = 3, size of lhs = 3:
% 2.13/2.32 P_underlying_curve-{F}(V0,V1), P_underlying_curve-{F}(V0,V3), V1 == V3 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #142: unsound, references = 3, size of lhs = 3:
% 2.13/2.32 P_ax2_sk10-{F}(V0,V1,V2), P_ax2_sk10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #143: unsound, references = 3, size of lhs = 3:
% 2.13/2.32 P_sk26-{F}(V0), P_sk26-{F}(V1), V0 == V1 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #144: unsound, references = 3, size of lhs = 3:
% 2.13/2.32 P_sk25-{F}(V0), P_sk25-{F}(V1), V0 == V1 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #145: unsound, references = 3, size of lhs = 3:
% 2.13/2.32 P_sk27-{F}(V0), P_sk27-{F}(V1), V0 == V1 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 number of simplifiers = 29
% 2.13/2.32
% 2.13/2.32 Learnt:
% 2.13/2.32 #183: exists( #98, #178 ), references = 1, size of lhs = 5:
% 2.13/2.32 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
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #184: exists( #98, #179 ), references = 1, size of lhs = 5:
% 2.13/2.32 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
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #203: exists( #96, #201 ), references = 1, size of lhs = 7:
% 2.13/2.32 P_ax2_sk3-{F}(V0,V1), P_underlying_curve-{F}(V0,V2), P_sum-{F}(V2,V3,V4), meet-{F}(V5,V4,V4), end_point-{F}(V6,V4), end_point-{F}(V7,V4), V7 == V6 | P_ax0_sk8-{T}(V1,V6), P_ax0_sk8-{T}(V1,V7)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #214: disj( #202, #33+#17+#69+#81+#7 ), references = 1, size of lhs = 12:
% 2.13/2.32 P_ax2_sk3-{F}(V0,V1), P_underlying_curve-{F}(V0,V2), P_ax2_sk3-{F}(V3,V1), P_underlying_curve-{F}(V3,V4), P_sum-{F}(V2,V5,V6), meet-{F}(V7,V6,V6), end_point-{F}(V8,V6), end_point-{F}(V9,V6), V9 == V8, P_ax0_sk2-{F}(V10,V4,V4,V9), P_sum-{F}(V4,V10,V11), V4 == V11 | P_ax0_sk8-{T}(V1,V8)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #215: disj( #202, #33+#17+#69+#81+#8 ), references = 1, size of lhs = 12:
% 2.13/2.32 P_ax2_sk3-{F}(V0,V1), P_underlying_curve-{F}(V0,V2), P_ax2_sk3-{F}(V3,V1), P_underlying_curve-{F}(V3,V4), P_sum-{F}(V2,V5,V6), meet-{F}(V7,V6,V6), end_point-{F}(V8,V6), end_point-{F}(V9,V6), V9 == V8, P_ax0_sk2-{F}(V4,V10,V4,V9), P_sum-{F}(V10,V4,V11), V4 == V11 | P_ax0_sk8-{T}(V1,V8)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #260: exists( #95, #258 ), references = 1, size of lhs = 8:
% 2.13/2.32 open-{F}(V0), P_ax2_sk3-{F}(V1,V0), P_underlying_curve-{F}(V1,V2), P_sum-{F}(V2,V3,V4), meet-{F}(V5,V4,V4), end_point-{F}(V6,V4), end_point-{F}(V7,V4), V7 == V6 | P_ax0_sk7-{T}(V0,V6), P_ax0_sk7-{T}(V0,V7)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #263: disj( #259, #29+#18 ), references = 1, size of lhs = 9:
% 2.13/2.32 open-{F}(V0), P_ax2_sk3-{F}(V1,V0), P_underlying_curve-{F}(V1,V2), inner_point-{F}(V3,V0), end_point-{F}(V3,V4), P_sum-{F}(V2,V5,V4), meet-{F}(V6,V4,V4), end_point-{F}(V7,V4), V7 == V3 | P_ax0_sk7-{T}(V0,V7)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #393: exists( #106, #391 ), references = 1, size of lhs = 1:
% 2.13/2.32 between_o-{F}(V0,V1,V2,V1) | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #400: exists( #116, #398 ), references = 1, size of lhs = 4:
% 2.13/2.32 P_sk26-{F}(V0), P_sk25-{F}(V1), incident_o-{F}(V2,V1), start_point-{F}(V2,V1) | P_sk27-{T}(V2)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #406: mergings( V1 == V2; #404 ), references = 1, size of lhs = 1:
% 2.13/2.32 P_sk26-{F}(V0) | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #408: exists( #114, #404 ), references = 1, size of lhs = 0:
% 2.13/2.32 FALSE | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 number of learnt formulas = 11
% 2.13/2.32
% 2.13/2.32
% 2.13/2.32 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.13/2.32
% 2.13/2.32 randbase = 1
%------------------------------------------------------------------------------