%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GEO085+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.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 06:01:40 EDT 2022
% Result : Theorem 0.77s 0.94s
% Output : Refutation 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO085+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 18:10:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.77/0.94 GeoParameters:
% 0.77/0.94
% 0.77/0.94 tptp_input = 1
% 0.77/0.94 tptp_output = 0
% 0.77/0.94 nonempty = 1
% 0.77/0.94 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.94 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.77/0.94
% 0.77/0.94
% 0.77/0.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.94 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.94
% 0.77/0.94 RuleSystem INPUT:
% 0.77/0.94
% 0.77/0.94 Initial Rules:
% 0.77/0.94 #0: input, references = 3, size of lhs = 1:
% 0.77/0.94 part_of-{F}(V1,V0) | pppp0-{T}(V1,V0)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #1: input, references = 3, size of lhs = 1:
% 0.77/0.94 pppp0-{F}(V1,V0) | part_of-{T}(V1,V0)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #2: input, references = 3, size of lhs = 2:
% 0.77/0.94 pppp0-{F}(V0,V1), incident_c-{F}(V2,V0) | incident_c-{T}(V2,V1)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #3: input, references = 3, size of lhs = 2:
% 0.77/0.94 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp23-{T}(V0,V1)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #4: input, references = 3, size of lhs = 1:
% 0.77/0.94 pppp23-{F}(V0,V1) | EXISTS V2: pppp8-{T}(V0,V1,V2)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #5: input, references = 3, size of lhs = 2:
% 0.77/0.94 pppp8-{F}(V0,V1,V2), incident_c-{F}(V2,V1) | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #6: input, references = 3, size of lhs = 1:
% 0.77/0.94 pppp8-{F}(V0,V1,V2) | incident_c-{T}(V2,V0)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #7: input, references = 3, size of lhs = 1:
% 0.77/0.94 P_sum-{F}(V1,V2,V3) | pppp2-{T}(V1,V3,V2)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #8: input, references = 3, size of lhs = 3:
% 0.77/0.94 P_sum-{F}(V1,V2,V3), pppp2-{F}(V1,V0,V2), V0 == V3 | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #9: input, references = 3, size of lhs = 2:
% 0.77/0.94 pppp2-{F}(V0,V1,V2), incident_c-{F}(V3,V1) | pppp1-{T}(V0,V2,V3)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #10: input, references = 3, size of lhs = 2:
% 0.77/0.94 pppp2-{F}(V0,V1,V2), pppp1-{F}(V0,V2,V3) | incident_c-{T}(V3,V1)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #11: input, references = 4, size of lhs = 3:
% 0.77/0.94 #-{F} V0, #-{F} V1, #-{F} V2 | pppp2-{T}(V0,V1,V2), pppp24-{T}(V0,V1,V2)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #12: input, references = 3, size of lhs = 1:
% 0.77/0.94 pppp24-{F}(V0,V1,V2) | EXISTS V3: pppp9-{T}(V0,V1,V2,V3)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #13: input, references = 3, size of lhs = 3:
% 0.77/0.94 pppp9-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V2,V3), incident_c-{F}(V3,V1) | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #14: input, references = 3, size of lhs = 1:
% 0.77/0.94 pppp9-{F}(V0,V1,V2,V3) | incident_c-{T}(V3,V1), pppp1-{T}(V0,V2,V3)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #15: input, references = 3, size of lhs = 1:
% 0.77/0.94 pppp1-{F}(V0,V1,V2) | incident_c-{T}(V2,V0), incident_c-{T}(V2,V1)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #16: input, references = 3, size of lhs = 2:
% 0.77/0.94 #-{F} V1, incident_c-{F}(V2,V0) | pppp1-{T}(V0,V1,V2)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #17: input, references = 3, size of lhs = 2:
% 0.77/0.94 #-{F} V0, incident_c-{F}(V2,V1) | pppp1-{T}(V0,V1,V2)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #18: input, references = 3, size of lhs = 1:
% 0.77/0.94 end_point-{F}(V0,V1) | pppp3-{T}(V1,V0)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #19: input, references = 4, size of lhs = 1:
% 0.77/0.94 pppp3-{F}(V1,V0) | end_point-{T}(V0,V1)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #20: input, references = 3, size of lhs = 1:
% 0.77/0.94 pppp3-{F}(V0,V1) | incident_c-{T}(V1,V0)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #21: input, references = 3, size of lhs = 5:
% 0.77/0.94 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)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #22: input, references = 4, size of lhs = 1:
% 0.77/0.94 incident_c-{F}(V1,V0) | pppp3-{T}(V0,V1), pppp25-{T}(V0,V1)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #23: input, references = 3, size of lhs = 1:
% 0.77/0.94 pppp25-{F}(V0,V1) | EXISTS V2: pppp11-{T}(V0,V1,V2)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #24: input, references = 3, size of lhs = 1:
% 0.77/0.94 pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V3,V0,V1,V2)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #25: input, references = 3, size of lhs = 1:
% 0.77/0.94 pppp11-{F}(V0,V1,V2) | incident_c-{T}(V1,V2)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #26: input, references = 3, size of lhs = 1:
% 0.77/0.94 pppp11-{F}(V0,V1,V2) | part_of-{T}(V2,V0)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #27: input, references = 3, size of lhs = 2:
% 0.77/0.94 pppp10-{F}(V0,V1,V2,V3), part_of-{F}(V3,V0) | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #28: input, references = 3, size of lhs = 2:
% 0.77/0.94 pppp10-{F}(V0,V1,V2,V3), part_of-{F}(V0,V3) | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #29: input, references = 3, size of lhs = 1:
% 0.77/0.94 pppp10-{F}(V0,V1,V2,V3) | incident_c-{T}(V2,V0)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #30: input, references = 3, size of lhs = 1:
% 0.77/0.94 pppp10-{F}(V0,V1,V2,V3) | part_of-{T}(V0,V1)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #31: input, references = 3, size of lhs = 1:
% 0.77/0.94 inner_point-{F}(V0,V1) | pppp4-{T}(V1,V0)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #32: input, references = 3, size of lhs = 1:
% 0.77/0.94 pppp4-{F}(V1,V0) | inner_point-{T}(V0,V1)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #33: input, references = 3, size of lhs = 1:
% 0.77/0.94 pppp4-{F}(V0,V1) | incident_c-{T}(V1,V0)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #34: input, references = 5, size of lhs = 2:
% 0.77/0.94 pppp4-{F}(V0,V1), end_point-{F}(V1,V0) | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #35: input, references = 3, size of lhs = 1:
% 0.77/0.94 incident_c-{F}(V1,V0) | pppp4-{T}(V0,V1), end_point-{T}(V1,V0)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #36: input, references = 3, size of lhs = 1:
% 0.77/0.94 meet-{F}(V0,V1,V2) | pppp5-{T}(V2,V1,V0)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #37: input, references = 3, size of lhs = 1:
% 0.77/0.94 pppp5-{F}(V2,V1,V0) | meet-{T}(V0,V1,V2)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #38: input, references = 3, size of lhs = 3:
% 0.77/0.94 #-{F} V0, #-{F} V1, #-{F} V2 | pppp13-{T}(V0,V1,V2)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #39: input, references = 4, size of lhs = 3:
% 0.77/0.94 pppp13-{F}(V0,V1,V2), incident_c-{F}(V2,V1), incident_c-{F}(V2,V0) | pppp5-{T}(V0,V1,V2), pppp26-{T}(V0,V1)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #40: input, references = 3, size of lhs = 1:
% 0.77/0.94 pppp26-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V0,V1,V2)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #41: input, references = 4, size of lhs = 4:
% 0.77/0.94 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)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #42: input, references = 3, size of lhs = 4:
% 0.77/0.94 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)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #43: input, references = 3, size of lhs = 2:
% 0.77/0.94 pppp13-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V2) | incident_c-{T}(V2,V0)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #44: input, references = 3, size of lhs = 2:
% 0.77/0.94 pppp13-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V2) | incident_c-{T}(V2,V1)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #45: input, references = 3, size of lhs = 3:
% 0.77/0.94 pppp12-{F}(V0,V1,V2), end_point-{F}(V2,V1), end_point-{F}(V2,V0) | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #46: input, references = 3, size of lhs = 1:
% 0.77/0.94 pppp12-{F}(V0,V1,V2) | incident_c-{T}(V2,V0)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #47: input, references = 3, size of lhs = 1:
% 0.77/0.94 pppp12-{F}(V0,V1,V2) | incident_c-{T}(V2,V1)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #48: input, references = 3, size of lhs = 1:
% 0.77/0.94 closed-{F}(V0) | pppp6-{T}(V0)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #49: input, references = 3, size of lhs = 1:
% 0.77/0.94 pppp6-{F}(V0) | closed-{T}(V0)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #50: input, references = 4, size of lhs = 2:
% 0.77/0.94 pppp6-{F}(V0), end_point-{F}(V1,V0) | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #51: input, references = 4, size of lhs = 1:
% 0.77/0.94 #-{F} V0 | pppp6-{T}(V0), pppp27-{T}(V0)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #52: input, references = 4, size of lhs = 1:
% 0.77/0.94 pppp27-{F}(V0) | EXISTS V1: pppp14-{T}(V0,V1)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #53: input, references = 4, size of lhs = 1:
% 0.77/0.94 pppp14-{F}(V0,V1) | end_point-{T}(V1,V0)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #54: input, references = 4, size of lhs = 1:
% 0.77/0.94 open-{F}(V0) | pppp7-{T}(V0)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #55: input, references = 3, size of lhs = 1:
% 0.77/0.94 pppp7-{F}(V0) | open-{T}(V0)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #56: input, references = 5, size of lhs = 1:
% 0.77/0.94 pppp7-{F}(V0) | EXISTS V1: pppp15-{T}(V0,V1)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #57: input, references = 3, size of lhs = 1:
% 0.77/0.94 end_point-{F}(V1,V0) | pppp7-{T}(V0)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #58: input, references = 5, size of lhs = 1:
% 0.77/0.94 pppp15-{F}(V0,V1) | end_point-{T}(V1,V0)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #59: input, references = 3, size of lhs = 2:
% 0.77/0.94 part_of-{F}(V0,V1), V0 == V1 | open-{T}(V0)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #60: input, references = 3, size of lhs = 6:
% 0.77/0.94 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)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #61: input, references = 3, size of lhs = 1:
% 0.77/0.94 #-{F} V0 | EXISTS V1: pppp16-{T}(V0,V1)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #62: input, references = 3, size of lhs = 1:
% 0.77/0.94 pppp16-{F}(V0,V1) | inner_point-{T}(V1,V0)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #63: input, references = 3, size of lhs = 1:
% 0.77/0.94 inner_point-{F}(V1,V0) | EXISTS V2: pppp18-{T}(V0,V1,V2)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #64: input, references = 3, size of lhs = 1:
% 0.77/0.94 pppp18-{F}(V0,V1,V2) | EXISTS V3: pppp17-{T}(V2,V0,V1,V3)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #65: input, references = 3, size of lhs = 3:
% 0.77/0.94 pppp17-{F}(V0,V1,V2,V3), P_sum-{F}(V0,V3,V4), V1 == V4 | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #66: input, references = 3, size of lhs = 2:
% 0.77/0.94 pppp17-{F}(V0,V1,V2,V3), P_sum-{F}(V0,V3,V4) | meet-{T}(V2,V0,V3)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #67: input, references = 3, size of lhs = 6:
% 0.77/0.94 end_point-{F}(V2,V3), end_point-{F}(V0,V3), end_point-{F}(V1,V3), V0 == V1, V2 == V0, V2 == V1 | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #68: input, references = 4, size of lhs = 1:
% 0.77/0.94 end_point-{F}(V1,V0) | EXISTS V2: pppp19-{T}(V0,V1,V2)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #69: input, references = 4, size of lhs = 1:
% 0.77/0.94 pppp19-{F}(V0,V2,V2) | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #70: input, references = 4, size of lhs = 1:
% 0.77/0.94 pppp19-{F}(V0,V1,V2) | end_point-{T}(V2,V0)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #71: input, references = 3, size of lhs = 4:
% 0.77/0.94 P_sum-{F}(V0,V1,V2), end_point-{F}(V3,V0), meet-{F}(V4,V0,V1), closed-{F}(V2) | meet-{T}(V3,V0,V1)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #72: input, references = 3, size of lhs = 2:
% 0.77/0.94 P_sum-{F}(V0,V1,V2), meet-{F}(V3,V0,V1) | EXISTS V4: pppp20-{T}(V2,V4)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #73: input, references = 3, size of lhs = 2:
% 0.77/0.94 pppp20-{F}(V0,V1), V1 == V0 | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #74: input, references = 3, size of lhs = 3:
% 0.77/0.94 #-{F} V0, #-{F} V1, V0 == V1 | EXISTS V2: pppp21-{T}(V1,V0,V2)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #75: input, references = 3, size of lhs = 3:
% 0.77/0.94 pppp21-{F}(V0,V1,V2), incident_c-{F}(V2,V0), incident_c-{F}(V2,V1) | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #76: input, references = 3, size of lhs = 1:
% 0.77/0.94 pppp21-{F}(V0,V1,V2) | incident_c-{T}(V2,V1), incident_c-{T}(V2,V0)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #77: input, references = 4, size of lhs = 0:
% 0.77/0.94 FALSE | EXISTS V0: pppp22-{T}(V0)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #78: input, references = 5, size of lhs = 4:
% 0.77/0.94 pppp22-{F}(V0), end_point-{F}(V1,V0), end_point-{F}(V2,V0), V2 == V1 | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #79: input, references = 4, size of lhs = 1:
% 0.77/0.94 pppp22-{F}(V0) | open-{T}(V0)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #80: input, references = 3, size of lhs = 2:
% 0.77/0.94 #-{F} V0, #-{F} V1 | EXISTS V2: P_sum-{T}(V0,V1,V2)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 number of initial rules = 81
% 0.77/0.94
% 0.77/0.94 Simplifiers:
% 0.77/0.94 #81: unsound, references = 3, size of lhs = 3:
% 0.77/0.94 P_sum-{F}(V0,V1,V2), P_sum-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #82: unsound, references = 3, size of lhs = 3:
% 0.77/0.94 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #83: unsound, references = 3, size of lhs = 3:
% 0.77/0.94 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #84: unsound, references = 3, size of lhs = 3:
% 0.77/0.94 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #85: unsound, references = 3, size of lhs = 3:
% 0.77/0.94 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V4,V1,V2,V7), V3 == V7 | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #86: unsound, references = 3, size of lhs = 3:
% 0.77/0.94 pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #87: unsound, references = 3, size of lhs = 3:
% 0.77/0.94 pppp12-{F}(V0,V1,V2), pppp12-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #88: unsound, references = 3, size of lhs = 3:
% 0.77/0.94 pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #89: unsound, references = 3, size of lhs = 3:
% 0.77/0.94 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #90: unsound, references = 3, size of lhs = 3:
% 0.77/0.94 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #91: unsound, references = 3, size of lhs = 3:
% 0.77/0.94 pppp17-{F}(V0,V1,V2,V3), pppp17-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #92: unsound, references = 3, size of lhs = 3:
% 0.77/0.94 pppp17-{F}(V0,V1,V2,V3), pppp17-{F}(V4,V1,V2,V7), V0 == V4 | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #93: unsound, references = 3, size of lhs = 3:
% 0.77/0.94 pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #94: unsound, references = 3, size of lhs = 3:
% 0.77/0.94 pppp19-{F}(V0,V1,V2), pppp19-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #95: unsound, references = 3, size of lhs = 3:
% 0.77/0.94 pppp20-{F}(V0,V1), pppp20-{F}(V0,V3), V1 == V3 | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #96: unsound, references = 3, size of lhs = 3:
% 0.77/0.94 pppp21-{F}(V0,V1,V2), pppp21-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #97: unsound, references = 3, size of lhs = 3:
% 0.77/0.94 pppp22-{F}(V0), pppp22-{F}(V1), V0 == V1 | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 number of simplifiers = 17
% 0.77/0.94
% 0.77/0.94 Learnt:
% 0.77/0.94 #100: exists( #56, #98 ), references = 1, size of lhs = 2:
% 0.77/0.94 pppp7-{F}(V0), pppp6-{F}(V0) | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #102: disj( #51, exists( #56, #98 ) ), references = 1, size of lhs = 1:
% 0.77/0.94 pppp7-{F}(V0) | pppp27-{T}(V0)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #105: exists( #56, #103 ), references = 1, size of lhs = 3:
% 0.77/0.94 pppp7-{F}(V0), pppp22-{F}(V0), end_point-{F}(V1,V0) | pppp15-{T}(V0,V1)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #107: disj( #11, input ), references = 1, size of lhs = 3:
% 0.77/0.94 P_sum-{F}(V0,V1,V2), #-{F} V3, V3 == V2 | pppp24-{T}(V0,V3,V1)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #110: disj( #22, #19+#34 ), references = 1, size of lhs = 2:
% 0.77/0.94 incident_c-{F}(V0,V1), pppp4-{F}(V1,V0) | pppp25-{T}(V1,V0)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #117: disj( #39, #41+#34 ), references = 1, size of lhs = 6:
% 0.77/0.94 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) | pppp26-{T}(V2,V1)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #122: exists( #68, #120 ), references = 1, size of lhs = 3:
% 0.77/0.94 pppp22-{F}(V0), end_point-{F}(V1,V0), end_point-{F}(V2,V0) | pppp19-{T}(V0,V1,V2)
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #126: exists( #52, #124 ), references = 1, size of lhs = 2:
% 0.77/0.94 pppp27-{F}(V0), pppp22-{F}(V0) | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 #131: exists( #77, #129 ), references = 1, size of lhs = 0:
% 0.77/0.94 FALSE | FALSE
% 0.77/0.94 (used 0 times, uses = {})
% 0.77/0.94
% 0.77/0.94 number of learnt formulas = 9
% 0.77/0.94
% 0.77/0.94
% 0.77/0.94 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.94
% 0.77/0.94 randbase = 1
%------------------------------------------------------------------------------