%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : TOP022+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n008.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 06:26:52 EDT 2022
% Result : Theorem 0.18s 0.39s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : TOP022+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 07:10:41 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.39 GeoParameters:
% 0.18/0.39
% 0.18/0.39 tptp_input = 1
% 0.18/0.39 tptp_output = 0
% 0.18/0.39 nonempty = 1
% 0.18/0.39 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.39 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.39
% 0.18/0.39
% 0.18/0.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.39 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.39
% 0.18/0.39 RuleSystem INPUT:
% 0.18/0.39
% 0.18/0.39 Initial Rules:
% 0.18/0.39 #0: input, references = 3, size of lhs = 1:
% 0.18/0.39 isomorphic_groups-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.18/0.39 (used 0 times, uses = {})
% 0.18/0.39
% 0.18/0.39 #1: input, references = 4, size of lhs = 1:
% 0.18/0.39 pppp0-{F}(V0,V1) | isomorphic_groups-{T}(V0,V1)
% 0.18/0.39 (used 0 times, uses = {})
% 0.18/0.39
% 0.18/0.39 #2: input, references = 3, size of lhs = 1:
% 0.18/0.39 pppp0-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 0.18/0.39 (used 0 times, uses = {})
% 0.18/0.39
% 0.18/0.39 #3: input, references = 4, size of lhs = 1:
% 0.18/0.39 a_group_isomorphism_from_to-{F}(V2,V0,V1) | pppp0-{T}(V0,V1)
% 0.18/0.39 (used 0 times, uses = {})
% 0.18/0.39
% 0.18/0.39 #4: input, references = 3, size of lhs = 1:
% 0.18/0.39 pppp2-{F}(V0,V1,V2) | a_group_isomorphism_from_to-{T}(V2,V0,V1)
% 0.18/0.39 (used 0 times, uses = {})
% 0.18/0.39
% 0.18/0.39 #5: input, references = 4, size of lhs = 3:
% 0.18/0.39 #-{F} V1, #-{F} V2, path_connected-{F}(V0) | pppp1-{T}(V0,V1,V2)
% 0.18/0.39 (used 0 times, uses = {})
% 0.18/0.39
% 0.18/0.39 #6: input, references = 3, size of lhs = 1:
% 0.18/0.39 pppp1-{F}(V0,V1,V2) | path_connected-{T}(V0)
% 0.18/0.39 (used 0 times, uses = {})
% 0.18/0.39
% 0.18/0.39 #7: input, references = 4, size of lhs = 3:
% 0.18/0.39 pppp1-{F}(V0,V1,V2), a_member_of-{F}(V1,V0), a_member_of-{F}(V2,V0) | EXISTS V3: pppp3-{T}(V0,V1,V2,V3)
% 0.18/0.39 (used 0 times, uses = {})
% 0.18/0.39
% 0.18/0.39 #8: input, references = 3, size of lhs = 3:
% 0.18/0.39 #-{F} V0, #-{F} V1, #-{F} V2 | pppp1-{T}(V0,V1,V2), a_member_of-{T}(V1,V0)
% 0.18/0.39 (used 0 times, uses = {})
% 0.18/0.39
% 0.18/0.39 #9: input, references = 3, size of lhs = 3:
% 0.18/0.39 #-{F} V0, #-{F} V1, #-{F} V2 | pppp1-{T}(V0,V1,V2), a_member_of-{T}(V2,V0)
% 0.18/0.39 (used 0 times, uses = {})
% 0.18/0.39
% 0.18/0.39 #10: input, references = 3, size of lhs = 1:
% 0.18/0.39 a_path_from_to_in-{F}(V3,V1,V2,V0) | pppp1-{T}(V0,V1,V2)
% 0.18/0.39 (used 0 times, uses = {})
% 0.18/0.39
% 0.18/0.39 #11: input, references = 4, size of lhs = 1:
% 0.18/0.39 pppp3-{F}(V0,V1,V2,V3) | a_path_from_to_in-{T}(V3,V1,V2,V0)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #12: input, references = 4, size of lhs = 4:
% 0.18/0.40 P_alpha_hat-{F}(V0,V4), P_first_homotop_grp-{F}(V3,V1,V5), P_first_homotop_grp-{F}(V3,V2,V6), a_path_from_to_in-{F}(V0,V1,V2,V3) | a_group_isomorphism_from_to-{T}(V4,V5,V6)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #13: input, references = 4, size of lhs = 0:
% 0.18/0.40 FALSE | EXISTS V0: pppp6-{T}(V0)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #14: input, references = 4, size of lhs = 1:
% 0.18/0.40 pppp6-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #15: input, references = 4, size of lhs = 1:
% 0.18/0.40 pppp6-{F}(V0) | path_connected-{T}(V0)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #16: input, references = 4, size of lhs = 2:
% 0.18/0.40 pppp5-{F}(V0,V1), P_first_homotop_grp-{F}(V0,V1,V2) | EXISTS V3: pppp4-{T}(V0,V3,V2)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #17: input, references = 4, size of lhs = 2:
% 0.18/0.40 pppp5-{F}(V0,V1), P_first_homotop_grp-{F}(V0,V1,V2) | a_member_of-{T}(V1,V0)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #18: input, references = 4, size of lhs = 3:
% 0.18/0.40 pppp4-{F}(V0,V1,V2), P_first_homotop_grp-{F}(V0,V1,V3), isomorphic_groups-{F}(V3,V2) | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #19: input, references = 4, size of lhs = 2:
% 0.18/0.40 pppp4-{F}(V0,V1,V2), P_first_homotop_grp-{F}(V0,V1,V3) | a_member_of-{T}(V1,V0)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #20: input, references = 4, size of lhs = 1:
% 0.18/0.40 #-{F} V0 | EXISTS V1: P_alpha_hat-{T}(V0,V1)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #21: input, references = 5, size of lhs = 2:
% 0.18/0.40 #-{F} V0, #-{F} V1 | EXISTS V2: P_first_homotop_grp-{T}(V0,V1,V2)
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 number of initial rules = 22
% 0.18/0.40
% 0.18/0.40 Simplifiers:
% 0.18/0.40 #22: unsound, references = 3, size of lhs = 3:
% 0.18/0.40 a_path_from_to_in-{F}(V0,V1,V2,V3), a_path_from_to_in-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #23: unsound, references = 3, size of lhs = 3:
% 0.18/0.40 P_alpha_hat-{F}(V0,V1), P_alpha_hat-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #24: unsound, references = 3, size of lhs = 3:
% 0.18/0.40 P_first_homotop_grp-{F}(V0,V1,V2), P_first_homotop_grp-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #25: unsound, references = 3, size of lhs = 3:
% 0.18/0.40 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #26: unsound, references = 3, size of lhs = 3:
% 0.18/0.40 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #27: unsound, references = 3, size of lhs = 3:
% 0.18/0.40 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #28: unsound, references = 3, size of lhs = 3:
% 0.18/0.40 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #29: unsound, references = 3, size of lhs = 3:
% 0.18/0.40 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #30: unsound, references = 3, size of lhs = 3:
% 0.18/0.40 pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #31: unsound, references = 3, size of lhs = 3:
% 0.18/0.40 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 number of simplifiers = 10
% 0.18/0.40
% 0.18/0.40 Learnt:
% 0.18/0.40 #40: exists( #20, #38 ), references = 1, size of lhs = 5:
% 0.18/0.40 pppp4-{F}(V0,V1,V2), P_first_homotop_grp-{F}(V0,V1,V3), P_first_homotop_grp-{F}(V4,V5,V3), P_first_homotop_grp-{F}(V4,V6,V2), a_path_from_to_in-{F}(V7,V5,V6,V4) | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #43: exists( #7, #41 ), references = 2, size of lhs = 7:
% 0.18/0.40 a_member_of-{F}(V0,V1), pppp1-{F}(V1,V0,V2), a_member_of-{F}(V2,V1), P_first_homotop_grp-{F}(V1,V0,V3), P_first_homotop_grp-{F}(V1,V2,V4), pppp4-{F}(V5,V6,V4), P_first_homotop_grp-{F}(V5,V6,V3) | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #46: exists( #21, #44 ), references = 1, size of lhs = 5:
% 0.18/0.40 a_member_of-{F}(V0,V1), pppp1-{F}(V1,V2,V0), pppp4-{F}(V1,V2,V3), P_first_homotop_grp-{F}(V1,V0,V4), pppp4-{F}(V1,V2,V4) | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #49: exists( #16, #47 ), references = 1, size of lhs = 5:
% 0.18/0.40 path_connected-{F}(V0), pppp5-{F}(V0,V1), P_first_homotop_grp-{F}(V0,V1,V2), a_member_of-{F}(V3,V0), P_first_homotop_grp-{F}(V0,V3,V2) | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #52: exists( #21, #50 ), references = 1, size of lhs = 2:
% 0.18/0.40 path_connected-{F}(V0), pppp5-{F}(V0,V1) | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #54: exists( #14, #51 ), references = 1, size of lhs = 2:
% 0.18/0.40 pppp6-{F}(V0), path_connected-{F}(V0) | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 #57: exists( #13, #55 ), references = 1, size of lhs = 0:
% 0.18/0.40 FALSE | FALSE
% 0.18/0.40 (used 0 times, uses = {})
% 0.18/0.40
% 0.18/0.40 number of learnt formulas = 7
% 0.18/0.40
% 0.18/0.40
% 0.18/0.40 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.40
% 0.18/0.40 randbase = 1
%------------------------------------------------------------------------------