TSTP Solution File: GEO081+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO081+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n013.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 06:01:39 EDT 2022
% Result : Theorem 42.56s 42.78s
% Output : Refutation 42.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO081+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n013.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 17:47:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 42.56/42.78 GeoParameters:
% 42.56/42.78
% 42.56/42.78 tptp_input = 1
% 42.56/42.78 tptp_output = 0
% 42.56/42.78 nonempty = 1
% 42.56/42.78 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 42.56/42.78 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 42.56/42.78
% 42.56/42.78
% 42.56/42.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 42.56/42.78 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 42.56/42.78
% 42.56/42.78 RuleSystem INPUT:
% 42.56/42.78
% 42.56/42.78 Initial Rules:
% 42.56/42.78 #0: input, references = 5, size of lhs = 1:
% 42.56/42.78 part_of-{F}(V1,V0) | pppp0-{T}(V1,V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #1: input, references = 7, size of lhs = 1:
% 42.56/42.78 pppp0-{F}(V1,V0) | part_of-{T}(V1,V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #2: input, references = 7, size of lhs = 2:
% 42.56/42.78 pppp0-{F}(V0,V1), incident_c-{F}(V2,V0) | incident_c-{T}(V2,V1)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #3: input, references = 9, size of lhs = 2:
% 42.56/42.78 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp25-{T}(V0,V1)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #4: input, references = 7, size of lhs = 1:
% 42.56/42.78 pppp25-{F}(V0,V1) | EXISTS V2: pppp8-{T}(V0,V1,V2)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #5: input, references = 8, size of lhs = 2:
% 42.56/42.78 pppp8-{F}(V0,V1,V2), incident_c-{F}(V2,V1) | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #6: input, references = 7, size of lhs = 1:
% 42.56/42.78 pppp8-{F}(V0,V1,V2) | incident_c-{T}(V2,V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #7: input, references = 5, size of lhs = 1:
% 42.56/42.78 P_sum-{F}(V1,V2,V3) | pppp2-{T}(V1,V3,V2)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #8: input, references = 3, size of lhs = 3:
% 42.56/42.78 P_sum-{F}(V1,V2,V3), pppp2-{F}(V1,V0,V2), V0 == V3 | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #9: input, references = 3, size of lhs = 2:
% 42.56/42.78 pppp2-{F}(V0,V1,V2), incident_c-{F}(V3,V1) | pppp1-{T}(V0,V2,V3)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #10: input, references = 5, size of lhs = 2:
% 42.56/42.78 pppp2-{F}(V0,V1,V2), pppp1-{F}(V0,V2,V3) | incident_c-{T}(V3,V1)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #11: input, references = 4, size of lhs = 3:
% 42.56/42.78 #-{F} V0, #-{F} V1, #-{F} V2 | pppp2-{T}(V0,V1,V2), pppp26-{T}(V0,V1,V2)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #12: input, references = 3, size of lhs = 1:
% 42.56/42.78 pppp26-{F}(V0,V1,V2) | EXISTS V3: pppp9-{T}(V0,V1,V2,V3)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #13: input, references = 3, size of lhs = 3:
% 42.56/42.78 pppp9-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V2,V3), incident_c-{F}(V3,V1) | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #14: input, references = 3, size of lhs = 1:
% 42.56/42.78 pppp9-{F}(V0,V1,V2,V3) | incident_c-{T}(V3,V1), pppp1-{T}(V0,V2,V3)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #15: input, references = 3, size of lhs = 1:
% 42.56/42.78 pppp1-{F}(V0,V1,V2) | incident_c-{T}(V2,V0), incident_c-{T}(V2,V1)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #16: input, references = 4, size of lhs = 2:
% 42.56/42.78 #-{F} V1, incident_c-{F}(V2,V0) | pppp1-{T}(V0,V1,V2)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #17: input, references = 4, size of lhs = 2:
% 42.56/42.78 #-{F} V0, incident_c-{F}(V2,V1) | pppp1-{T}(V0,V1,V2)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #18: input, references = 3, size of lhs = 1:
% 42.56/42.78 end_point-{F}(V0,V1) | pppp3-{T}(V1,V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #19: input, references = 5, size of lhs = 1:
% 42.56/42.78 pppp3-{F}(V1,V0) | end_point-{T}(V0,V1)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #20: input, references = 3, size of lhs = 1:
% 42.56/42.78 pppp3-{F}(V0,V1) | incident_c-{T}(V1,V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #21: input, references = 3, size of lhs = 5:
% 42.56/42.78 pppp3-{F}(V0,V1), part_of-{F}(V2,V0), incident_c-{F}(V1,V2), part_of-{F}(V3,V0), incident_c-{F}(V1,V3) | part_of-{T}(V3,V2), part_of-{T}(V2,V3)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #22: input, references = 5, size of lhs = 1:
% 42.56/42.78 incident_c-{F}(V1,V0) | pppp3-{T}(V0,V1), pppp27-{T}(V0,V1)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #23: input, references = 3, size of lhs = 1:
% 42.56/42.78 pppp27-{F}(V0,V1) | EXISTS V2: pppp11-{T}(V0,V1,V2)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #24: input, references = 4, size of lhs = 1:
% 42.56/42.78 pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V3,V0,V1,V2)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #25: input, references = 3, size of lhs = 1:
% 42.56/42.78 pppp11-{F}(V0,V1,V2) | incident_c-{T}(V1,V2)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #26: input, references = 3, size of lhs = 1:
% 42.56/42.78 pppp11-{F}(V0,V1,V2) | part_of-{T}(V2,V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #27: input, references = 3, size of lhs = 2:
% 42.56/42.78 pppp10-{F}(V0,V1,V2,V3), part_of-{F}(V3,V0) | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #28: input, references = 4, size of lhs = 2:
% 42.56/42.78 pppp10-{F}(V0,V1,V2,V3), part_of-{F}(V0,V3) | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #29: input, references = 3, size of lhs = 1:
% 42.56/42.78 pppp10-{F}(V0,V1,V2,V3) | incident_c-{T}(V2,V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #30: input, references = 4, size of lhs = 1:
% 42.56/42.78 pppp10-{F}(V0,V1,V2,V3) | part_of-{T}(V0,V1)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #31: input, references = 3, size of lhs = 1:
% 42.56/42.78 inner_point-{F}(V0,V1) | pppp4-{T}(V1,V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #32: input, references = 3, size of lhs = 1:
% 42.56/42.78 pppp4-{F}(V1,V0) | inner_point-{T}(V0,V1)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #33: input, references = 3, size of lhs = 1:
% 42.56/42.78 pppp4-{F}(V0,V1) | incident_c-{T}(V1,V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #34: input, references = 6, size of lhs = 2:
% 42.56/42.78 pppp4-{F}(V0,V1), end_point-{F}(V1,V0) | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #35: input, references = 6, size of lhs = 1:
% 42.56/42.78 incident_c-{F}(V1,V0) | pppp4-{T}(V0,V1), end_point-{T}(V1,V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #36: input, references = 6, size of lhs = 1:
% 42.56/42.78 meet-{F}(V0,V1,V2) | pppp5-{T}(V2,V1,V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #37: input, references = 3, size of lhs = 1:
% 42.56/42.78 pppp5-{F}(V2,V1,V0) | meet-{T}(V0,V1,V2)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #38: input, references = 6, size of lhs = 3:
% 42.56/42.78 #-{F} V0, #-{F} V1, #-{F} V2 | pppp13-{T}(V0,V1,V2)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #39: input, references = 4, size of lhs = 3:
% 42.56/42.78 pppp13-{F}(V0,V1,V2), incident_c-{F}(V2,V1), incident_c-{F}(V2,V0) | pppp5-{T}(V0,V1,V2), pppp28-{T}(V0,V1)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #40: input, references = 3, size of lhs = 1:
% 42.56/42.78 pppp28-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V0,V1,V2)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #41: input, references = 4, size of lhs = 4:
% 42.56/42.78 pppp13-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V2), incident_c-{F}(V3,V1), incident_c-{F}(V3,V0) | end_point-{T}(V3,V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #42: input, references = 6, size of lhs = 4:
% 42.56/42.78 pppp13-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V2), incident_c-{F}(V3,V1), incident_c-{F}(V3,V0) | end_point-{T}(V3,V1)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #43: input, references = 6, size of lhs = 2:
% 42.56/42.78 pppp13-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V2) | incident_c-{T}(V2,V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #44: input, references = 3, size of lhs = 2:
% 42.56/42.78 pppp13-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V2) | incident_c-{T}(V2,V1)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #45: input, references = 3, size of lhs = 3:
% 42.56/42.78 pppp12-{F}(V0,V1,V2), end_point-{F}(V2,V1), end_point-{F}(V2,V0) | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #46: input, references = 3, size of lhs = 1:
% 42.56/42.78 pppp12-{F}(V0,V1,V2) | incident_c-{T}(V2,V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #47: input, references = 3, size of lhs = 1:
% 42.56/42.78 pppp12-{F}(V0,V1,V2) | incident_c-{T}(V2,V1)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #48: input, references = 3, size of lhs = 1:
% 42.56/42.78 closed-{F}(V0) | pppp6-{T}(V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #49: input, references = 3, size of lhs = 1:
% 42.56/42.78 pppp6-{F}(V0) | closed-{T}(V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #50: input, references = 5, size of lhs = 2:
% 42.56/42.78 pppp6-{F}(V0), end_point-{F}(V1,V0) | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #51: input, references = 5, size of lhs = 1:
% 42.56/42.78 #-{F} V0 | pppp6-{T}(V0), pppp29-{T}(V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #52: input, references = 3, size of lhs = 1:
% 42.56/42.78 pppp29-{F}(V0) | EXISTS V1: pppp14-{T}(V0,V1)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #53: input, references = 3, size of lhs = 1:
% 42.56/42.78 pppp14-{F}(V0,V1) | end_point-{T}(V1,V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #54: input, references = 7, size of lhs = 1:
% 42.56/42.78 open-{F}(V0) | pppp7-{T}(V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #55: input, references = 3, size of lhs = 1:
% 42.56/42.78 pppp7-{F}(V0) | open-{T}(V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #56: input, references = 5, size of lhs = 1:
% 42.56/42.78 pppp7-{F}(V0) | EXISTS V1: pppp15-{T}(V0,V1)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #57: input, references = 3, size of lhs = 1:
% 42.56/42.78 end_point-{F}(V1,V0) | pppp7-{T}(V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #58: input, references = 6, size of lhs = 1:
% 42.56/42.78 pppp15-{F}(V0,V1) | end_point-{T}(V1,V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #59: input, references = 7, size of lhs = 2:
% 42.56/42.78 part_of-{F}(V0,V1), V0 == V1 | open-{T}(V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #60: input, references = 3, size of lhs = 6:
% 42.56/42.78 end_point-{F}(V3,V2), end_point-{F}(V3,V0), end_point-{F}(V3,V1), part_of-{F}(V2,V4), part_of-{F}(V0,V4), part_of-{F}(V1,V4) | part_of-{T}(V0,V1), part_of-{T}(V1,V0), part_of-{T}(V2,V0), part_of-{T}(V0,V2), part_of-{T}(V2,V1), part_of-{T}(V1,V2)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #61: input, references = 3, size of lhs = 1:
% 42.56/42.78 #-{F} V0 | EXISTS V1: pppp16-{T}(V0,V1)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #62: input, references = 3, size of lhs = 1:
% 42.56/42.78 pppp16-{F}(V0,V1) | inner_point-{T}(V1,V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #63: input, references = 3, size of lhs = 1:
% 42.56/42.78 inner_point-{F}(V1,V0) | EXISTS V2: pppp18-{T}(V0,V1,V2)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #64: input, references = 5, size of lhs = 1:
% 42.56/42.78 pppp18-{F}(V0,V1,V2) | EXISTS V3: pppp17-{T}(V2,V0,V1,V3)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #65: input, references = 4, size of lhs = 3:
% 42.56/42.78 pppp17-{F}(V0,V1,V2,V3), P_sum-{F}(V0,V3,V4), V1 == V4 | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #66: input, references = 6, size of lhs = 2:
% 42.56/42.78 pppp17-{F}(V0,V1,V2,V3), P_sum-{F}(V0,V3,V4) | meet-{T}(V2,V0,V3)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #67: input, references = 7, size of lhs = 6:
% 42.56/42.78 end_point-{F}(V2,V3), end_point-{F}(V0,V3), end_point-{F}(V1,V3), V0 == V1, V2 == V0, V2 == V1 | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #68: input, references = 4, size of lhs = 1:
% 42.56/42.78 end_point-{F}(V1,V0) | EXISTS V2: pppp19-{T}(V0,V1,V2)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #69: input, references = 3, size of lhs = 1:
% 42.56/42.78 pppp19-{F}(V0,V2,V2) | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #70: input, references = 4, size of lhs = 1:
% 42.56/42.78 pppp19-{F}(V0,V1,V2) | end_point-{T}(V2,V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #71: input, references = 3, size of lhs = 4:
% 42.56/42.78 P_sum-{F}(V0,V1,V2), end_point-{F}(V3,V0), meet-{F}(V4,V0,V1), closed-{F}(V2) | meet-{T}(V3,V0,V1)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #72: input, references = 3, size of lhs = 2:
% 42.56/42.78 P_sum-{F}(V0,V1,V2), meet-{F}(V3,V0,V1) | EXISTS V4: pppp20-{T}(V2,V4)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #73: input, references = 3, size of lhs = 2:
% 42.56/42.78 pppp20-{F}(V0,V1), V1 == V0 | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #74: input, references = 3, size of lhs = 3:
% 42.56/42.78 #-{F} V0, #-{F} V1, V0 == V1 | EXISTS V2: pppp21-{T}(V1,V0,V2)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #75: input, references = 4, size of lhs = 3:
% 42.56/42.78 pppp21-{F}(V0,V1,V2), incident_c-{F}(V2,V0), incident_c-{F}(V2,V1) | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #76: input, references = 3, size of lhs = 1:
% 42.56/42.78 pppp21-{F}(V0,V1,V2) | incident_c-{T}(V2,V1), incident_c-{T}(V2,V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #77: input, references = 4, size of lhs = 0:
% 42.56/42.78 FALSE | EXISTS V0: pppp24-{T}(V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #78: input, references = 5, size of lhs = 1:
% 42.56/42.78 pppp24-{F}(V0) | EXISTS V1: pppp23-{T}(V0,V1)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #79: input, references = 5, size of lhs = 1:
% 42.56/42.78 pppp23-{F}(V0,V1) | EXISTS V2: pppp22-{T}(V2,V0,V1)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #80: input, references = 5, size of lhs = 1:
% 42.56/42.78 pppp23-{F}(V0,V1) | part_of-{T}(V0,V1)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #81: input, references = 5, size of lhs = 2:
% 42.56/42.78 pppp22-{F}(V0,V1,V2), part_of-{F}(V0,V2) | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #82: input, references = 5, size of lhs = 1:
% 42.56/42.78 pppp22-{F}(V0,V1,V2) | part_of-{T}(V0,V1)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #83: input, references = 6, size of lhs = 2:
% 42.56/42.78 #-{F} V0, #-{F} V1 | EXISTS V2: P_sum-{T}(V0,V1,V2)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 number of initial rules = 84
% 42.56/42.78
% 42.56/42.78 Simplifiers:
% 42.56/42.78 #84: unsound, references = 3, size of lhs = 3:
% 42.56/42.78 P_sum-{F}(V0,V1,V2), P_sum-{F}(V0,V1,V5), V2 == V5 | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #85: unsound, references = 3, size of lhs = 3:
% 42.56/42.78 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #86: unsound, references = 3, size of lhs = 3:
% 42.56/42.78 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #87: unsound, references = 3, size of lhs = 3:
% 42.56/42.78 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #88: unsound, references = 3, size of lhs = 3:
% 42.56/42.78 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V4,V1,V2,V7), V3 == V7 | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #89: unsound, references = 3, size of lhs = 3:
% 42.56/42.78 pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #90: unsound, references = 3, size of lhs = 3:
% 42.56/42.78 pppp12-{F}(V0,V1,V2), pppp12-{F}(V0,V1,V5), V2 == V5 | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #91: unsound, references = 3, size of lhs = 3:
% 42.56/42.78 pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #92: unsound, references = 3, size of lhs = 3:
% 42.56/42.78 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #93: unsound, references = 3, size of lhs = 3:
% 42.56/42.78 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #94: unsound, references = 3, size of lhs = 3:
% 42.56/42.78 pppp17-{F}(V0,V1,V2,V3), pppp17-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #95: unsound, references = 3, size of lhs = 3:
% 42.56/42.78 pppp17-{F}(V0,V1,V2,V3), pppp17-{F}(V4,V1,V2,V7), V0 == V4 | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #96: unsound, references = 3, size of lhs = 3:
% 42.56/42.78 pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V1,V5), V2 == V5 | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #97: unsound, references = 3, size of lhs = 3:
% 42.56/42.78 pppp19-{F}(V0,V1,V2), pppp19-{F}(V0,V1,V5), V2 == V5 | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #98: unsound, references = 3, size of lhs = 3:
% 42.56/42.78 pppp20-{F}(V0,V1), pppp20-{F}(V0,V3), V1 == V3 | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #99: unsound, references = 3, size of lhs = 3:
% 42.56/42.78 pppp21-{F}(V0,V1,V2), pppp21-{F}(V0,V1,V5), V2 == V5 | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #100: unsound, references = 3, size of lhs = 3:
% 42.56/42.78 pppp22-{F}(V0,V1,V2), pppp22-{F}(V3,V1,V2), V0 == V3 | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #101: unsound, references = 3, size of lhs = 3:
% 42.56/42.78 pppp22-{F}(V0,V1,V2), pppp22-{F}(V3,V1,V5), V2 == V5 | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #102: unsound, references = 3, size of lhs = 3:
% 42.56/42.78 pppp22-{F}(V0,V1,V2), pppp22-{F}(V3,V4,V5), V1 == V4 | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #103: unsound, references = 3, size of lhs = 3:
% 42.56/42.78 pppp23-{F}(V0,V1), pppp23-{F}(V0,V3), V1 == V3 | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #104: unsound, references = 3, size of lhs = 3:
% 42.56/42.78 pppp23-{F}(V0,V1), pppp23-{F}(V2,V3), V0 == V2 | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #105: unsound, references = 3, size of lhs = 3:
% 42.56/42.78 pppp24-{F}(V0), pppp24-{F}(V1), V0 == V1 | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 number of simplifiers = 22
% 42.56/42.78
% 42.56/42.78 Learnt:
% 42.56/42.78 #107: disj( #11, input ), references = 1, size of lhs = 3:
% 42.56/42.78 P_sum-{F}(V0,V1,V2), #-{F} V3, V3 == V2 | pppp26-{T}(V0,V3,V1)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #115: disj( #39, #41+#34 ), references = 1, size of lhs = 6:
% 42.56/42.78 incident_c-{F}(V0,V1), incident_c-{F}(V0,V2), pppp13-{F}(V2,V1,V0), pppp4-{F}(V2,V3), incident_c-{F}(V3,V1), incident_c-{F}(V3,V2) | pppp28-{T}(V2,V1)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #118: disj( #22, #19+#34 ), references = 1, size of lhs = 2:
% 42.56/42.78 incident_c-{F}(V0,V1), pppp4-{F}(V1,V0) | pppp27-{T}(V1,V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #127: exists( #4, #125 ), references = 1, size of lhs = 1:
% 42.56/42.78 pppp25-{F}(V0,V0) | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #129: disj( #3, exists( #4, #125 ) ), references = 1, size of lhs = 1:
% 42.56/42.78 #-{F} V0 | pppp0-{T}(V0,V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #132: disj( #35, input ), references = 1, size of lhs = 2:
% 42.56/42.78 pppp6-{F}(V0), incident_c-{F}(V1,V0) | pppp4-{T}(V0,V1)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #142: exists( #79, #140 ), references = 2, size of lhs = 1:
% 42.56/42.78 pppp23-{F}(V0,V0) | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #149: exists( #56, #146 ), references = 4, size of lhs = 2:
% 42.56/42.78 pppp7-{F}(V0), pppp6-{F}(V0) | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #154: exists( #78, #152 ), references = 1, size of lhs = 2:
% 42.56/42.78 pppp24-{F}(V0), pppp6-{F}(V0) | pppp23-{T}(V0,V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #157: disj( #51, #153+#142 ), references = 1, size of lhs = 1:
% 42.56/42.78 pppp24-{F}(V0) | pppp29-{T}(V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #199: exists( #4, #196 ), references = 1, size of lhs = 2:
% 42.56/42.78 pppp25-{F}(V0,V1), pppp2-{F}(V0,V1,V2) | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #230: disj( #3, exists( #4, #196 ) ), references = 2, size of lhs = 1:
% 42.56/42.78 pppp2-{F}(V0,V1,V2) | pppp0-{T}(V0,V1)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #242: disj( #3, #1+#59+#54+#149 ), references = 1, size of lhs = 3:
% 42.56/42.78 pppp6-{F}(V0), #-{F} V1, V0 == V1 | pppp25-{T}(V0,V1)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #254: exists( #83, #250 ), references = 2, size of lhs = 2:
% 42.56/42.78 pppp6-{F}(V0), #-{F} V1 | P_sum-{T}(V0,V1,V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #262: exists( #4, #260 ), references = 1, size of lhs = 2:
% 42.56/42.78 pppp25-{F}(V0,V1), pppp2-{F}(V2,V1,V0) | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #282: disj( #51, exists( #56, #146 ) ), references = 1, size of lhs = 1:
% 42.56/42.78 pppp7-{F}(V0) | pppp29-{T}(V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #298: disj( #3, #2+#75 ), references = 1, size of lhs = 3:
% 42.56/42.78 incident_c-{F}(V0,V1), incident_c-{F}(V0,V2), pppp21-{F}(V3,V2,V0) | pppp25-{T}(V1,V3)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #299: disj( #3, #2+#5 ), references = 1, size of lhs = 2:
% 42.56/42.78 incident_c-{F}(V0,V1), pppp8-{F}(V2,V3,V0) | pppp25-{T}(V1,V3)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #336: disj( #3, exists( #4, #260 ) ), references = 2, size of lhs = 1:
% 42.56/42.78 pppp2-{F}(V0,V1,V2) | pppp0-{T}(V2,V1)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #347: exists( #83, #345 ), references = 1, size of lhs = 2:
% 42.56/42.78 pppp6-{F}(V0), #-{F} V1 | P_sum-{T}(V1,V0,V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #383: exists( #24, #381 ), references = 1, size of lhs = 1:
% 42.56/42.78 pppp11-{F}(V0,V1,V0) | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #455: exists( #64, #452 ), references = 1, size of lhs = 3:
% 42.56/42.78 pppp6-{F}(V0), incident_c-{F}(V1,V0), pppp18-{F}(V2,V1,V0) | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #500: exists( #68, #498 ), references = 1, size of lhs = 4:
% 42.56/42.78 end_point-{F}(V0,V1), end_point-{F}(V2,V1), end_point-{F}(V3,V1), V2 == V3 | pppp19-{T}(V1,V0,V3), pppp19-{T}(V1,V0,V2)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #502: disj( #499, input ), references = 1, size of lhs = 3:
% 42.56/42.78 end_point-{F}(V0,V1), end_point-{F}(V2,V1), V0 == V2 | pppp19-{T}(V1,V2,V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #561: disj( #22, #19+#67 ), references = 1, size of lhs = 6:
% 42.56/42.78 incident_c-{F}(V0,V1), end_point-{F}(V2,V1), V2 == V0, end_point-{F}(V3,V1), V0 == V3, V2 == V3 | pppp27-{T}(V1,V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #589: disj( #3, #1+#81 ), references = 2, size of lhs = 1:
% 42.56/42.78 pppp22-{F}(V0,V1,V2) | pppp25-{T}(V0,V2)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #625: disj( #35, input ), references = 1, size of lhs = 2:
% 42.56/42.78 incident_c-{F}(V0,V1), pppp12-{F}(V1,V1,V0) | pppp4-{T}(V1,V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #626: disj( #35, input ), references = 1, size of lhs = 6:
% 42.56/42.78 incident_c-{F}(V0,V1), end_point-{F}(V2,V1), V2 == V0, end_point-{F}(V3,V1), V0 == V3, V2 == V3 | pppp4-{T}(V1,V0)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #676: exists( #83, #65 ), references = 3, size of lhs = 1:
% 42.56/42.78 pppp17-{F}(V0,V1,V2,V3) | P_sum-{T}(V0,V3,V1)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #713: exists( #64, #709 ), references = 1, size of lhs = 3:
% 42.56/42.78 incident_c-{F}(V0,V1), pppp4-{F}(V1,V0), pppp18-{F}(V2,V0,V1) | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #714: exists( #64, #710 ), references = 2, size of lhs = 7:
% 42.56/42.78 end_point-{F}(V0,V1), end_point-{F}(V2,V1), V0 == V2, incident_c-{F}(V3,V1), V0 == V3, V3 == V2, pppp18-{F}(V4,V3,V1) | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #760: disj( #35, exists( #64, #709 ) ), references = 1, size of lhs = 2:
% 42.56/42.78 incident_c-{F}(V0,V1), pppp18-{F}(V2,V0,V1) | end_point-{T}(V0,V1)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #788: exists( #56, #784 ), references = 1, size of lhs = 4:
% 42.56/42.78 pppp7-{F}(V0), end_point-{F}(V1,V0), end_point-{F}(V2,V0), V1 == V2 | pppp15-{T}(V0,V1), pppp15-{T}(V0,V2)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #789: exists( #56, #785 ), references = 1, size of lhs = 5:
% 42.56/42.78 pppp7-{F}(V0), end_point-{F}(V1,V0), incident_c-{F}(V2,V0), V2 == V1, pppp18-{F}(V3,V2,V0) | pppp15-{T}(V0,V1), pppp15-{T}(V0,V2)
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #858: exists( #4, #856 ), references = 2, size of lhs = 3:
% 42.56/42.78 pppp25-{F}(V0,V1), pppp0-{F}(V0,V2), pppp0-{F}(V2,V1) | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #866: exists( #79, #864 ), references = 1, size of lhs = 2:
% 42.56/42.78 pppp23-{F}(V0,V1), pppp0-{F}(V0,V1) | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #870: exists( #78, #868 ), references = 1, size of lhs = 1:
% 42.56/42.78 pppp24-{F}(V0) | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 #872: exists( #77, #869 ), references = 1, size of lhs = 0:
% 42.56/42.78 FALSE | FALSE
% 42.56/42.78 (used 0 times, uses = {})
% 42.56/42.78
% 42.56/42.78 number of learnt formulas = 38
% 42.56/42.78
% 42.56/42.78
% 42.56/42.78 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 42.56/42.78
% 42.56/42.78 randbase = 1
%------------------------------------------------------------------------------