%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT045-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:10:27 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.41s
% Output : Refutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT045-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.36 % Computer : n001.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 7 13:14:37 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.15/0.41 GeoParameters:
% 0.15/0.41
% 0.15/0.41 tptp_input = 1
% 0.15/0.41 tptp_output = 0
% 0.15/0.41 nonempty = 1
% 0.15/0.41 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.41 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.15/0.41
% 0.15/0.41
% 0.15/0.41 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.41 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.41
% 0.15/0.41 RuleSystem INPUT:
% 0.15/0.41
% 0.15/0.41 Initial Rules:
% 0.15/0.41 #0: input, references = 3, size of lhs = 2:
% 0.15/0.41 smaller_or_equal-{F}(V0,V1), V0 == V1 | smaller-{T}(V0,V1)
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #1: input, references = 3, size of lhs = 1:
% 0.15/0.41 smaller-{F}(V0,V1) | smaller_or_equal-{T}(V0,V1)
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #2: input, references = 3, size of lhs = 1:
% 0.15/0.41 #-{F} V1 | smaller_or_equal-{T}(V1,V1)
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #3: input, references = 3, size of lhs = 2:
% 0.15/0.41 greater_or_equal-{F}(V0,V1), V0 == V1 | greater-{T}(V0,V1)
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #4: input, references = 3, size of lhs = 1:
% 0.15/0.41 greater-{F}(V0,V1) | greater_or_equal-{T}(V0,V1)
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #5: input, references = 3, size of lhs = 1:
% 0.15/0.41 #-{F} V1 | greater_or_equal-{T}(V1,V1)
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #6: input, references = 3, size of lhs = 1:
% 0.15/0.41 smaller-{F}(V0,V1) | greater-{T}(V1,V0)
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #7: input, references = 3, size of lhs = 1:
% 0.15/0.41 greater-{F}(V0,V1) | smaller-{T}(V1,V0)
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #8: input, references = 4, size of lhs = 2:
% 0.15/0.41 greater-{F}(V0,V1), greater-{F}(V1,V0) | FALSE
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #9: input, references = 3, size of lhs = 2:
% 0.15/0.41 greater-{F}(V0,V1), greater-{F}(V2,V0) | greater-{T}(V2,V1)
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #10: input, references = 3, size of lhs = 3:
% 0.15/0.41 #-{F} V0, #-{F} V1, V0 == V1 | smaller-{T}(V0,V1), greater-{T}(V0,V1)
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #11: input, references = 4, size of lhs = 6:
% 0.15/0.41 organization-{F}(V0), P_external_ties-{F}(V0,V2,V3), P_external_ties-{F}(V0,V1,V4), P_position-{F}(V0,V2,V5), P_position-{F}(V0,V1,V6), greater-{F}(V3,V4) | greater-{T}(V5,V6)
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #12: input, references = 4, size of lhs = 6:
% 0.15/0.41 organization-{F}(V0), P_external_ties-{F}(V0,V2,V4), P_external_ties-{F}(V0,V1,V4), P_position-{F}(V0,V2,V5), P_position-{F}(V0,V1,V6), V5 == V6 | FALSE
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #13: input, references = 5, size of lhs = 6:
% 0.15/0.41 organization-{F}(V0), P_age-{F}(V0,V2,V3), P_age-{F}(V0,V1,V4), P_external_ties-{F}(V0,V2,V5), P_external_ties-{F}(V0,V1,V6), greater-{F}(V3,V4) | greater-{T}(V5,V6)
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #14: input, references = 4, size of lhs = 1:
% 0.15/0.41 P_sk1-{F}(V0) | organization-{T}(V0)
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #15: input, references = 5, size of lhs = 5:
% 0.15/0.41 P_sk1-{F}(V0), P_sk3-{F}(V1), P_age-{F}(V0,V1,V2), P_sk2-{F}(V3), P_age-{F}(V0,V3,V4) | greater-{T}(V2,V4)
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #16: input, references = 4, size of lhs = 8:
% 0.15/0.41 P_sk1-{F}(V0), P_sk3-{F}(V1), P_age-{F}(V0,V1,V2), P_sk2-{F}(V3), P_age-{F}(V0,V3,V4), P_position-{F}(V0,V1,V5), P_position-{F}(V0,V3,V6), greater-{F}(V5,V6) | FALSE
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #17: input, references = 5, size of lhs = 2:
% 0.15/0.41 #-{F} V0, #-{F} V1 | EXISTS V2: P_external_ties-{T}(V0,V1,V2)
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #18: input, references = 6, size of lhs = 2:
% 0.15/0.41 #-{F} V0, #-{F} V1 | EXISTS V2: P_position-{T}(V0,V1,V2)
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #19: input, references = 7, size of lhs = 2:
% 0.15/0.41 #-{F} V0, #-{F} V1 | EXISTS V2: P_age-{T}(V0,V1,V2)
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #20: input, references = 4, size of lhs = 0:
% 0.15/0.41 FALSE | EXISTS V0: P_sk1-{T}(V0)
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #21: input, references = 4, size of lhs = 0:
% 0.15/0.41 FALSE | EXISTS V0: P_sk3-{T}(V0)
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #22: input, references = 4, size of lhs = 0:
% 0.15/0.41 FALSE | EXISTS V0: P_sk2-{T}(V0)
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 number of initial rules = 23
% 0.15/0.41
% 0.15/0.41 Simplifiers:
% 0.15/0.41 #23: unsound, references = 3, size of lhs = 3:
% 0.15/0.41 organization-{F}(V0), organization-{F}(V1), V0 == V1 | FALSE
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #24: unsound, references = 3, size of lhs = 3:
% 0.15/0.41 P_external_ties-{F}(V0,V1,V2), P_external_ties-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #25: unsound, references = 3, size of lhs = 3:
% 0.15/0.41 P_position-{F}(V0,V1,V2), P_position-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #26: unsound, references = 3, size of lhs = 3:
% 0.15/0.41 P_age-{F}(V0,V1,V2), P_age-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #27: unsound, references = 3, size of lhs = 3:
% 0.15/0.41 P_sk1-{F}(V0), P_sk1-{F}(V1), V0 == V1 | FALSE
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #28: unsound, references = 3, size of lhs = 3:
% 0.15/0.41 P_sk3-{F}(V0), P_sk3-{F}(V1), V0 == V1 | FALSE
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #29: unsound, references = 3, size of lhs = 3:
% 0.15/0.41 P_sk2-{F}(V0), P_sk2-{F}(V1), V0 == V1 | FALSE
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 number of simplifiers = 7
% 0.15/0.41
% 0.15/0.41 Learnt:
% 0.15/0.41 #31: exists( #18, #12 ), references = 1, size of lhs = 4:
% 0.15/0.41 organization-{F}(V0), P_external_ties-{F}(V0,V1,V2), P_external_ties-{F}(V0,V3,V2), P_position-{F}(V0,V3,V4) | P_position-{T}(V0,V1,V4)
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #36: exists( #19, #34 ), references = 1, size of lhs = 8:
% 0.15/0.41 P_sk1-{F}(V0), organization-{F}(V0), P_sk3-{F}(V1), P_age-{F}(V0,V1,V2), P_sk2-{F}(V3), P_age-{F}(V0,V4,V2), P_external_ties-{F}(V0,V4,V5), P_external_ties-{F}(V0,V3,V5) | FALSE
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #38: exists( #19, #35 ), references = 1, size of lhs = 6:
% 0.15/0.41 P_sk1-{F}(V0), organization-{F}(V0), P_sk3-{F}(V1), P_sk2-{F}(V2), P_external_ties-{F}(V0,V1,V3), P_external_ties-{F}(V0,V2,V3) | FALSE
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #47: mergings( V0 == V5, V3 == V6, V4 == V7; #43 ), references = 1, size of lhs = 14:
% 0.15/0.41 P_sk1-{F}(V0), organization-{F}(V0), P_sk3-{F}(V1), P_age-{F}(V0,V1,V2), P_sk2-{F}(V3), P_position-{F}(V0,V1,V4), P_position-{F}(V0,V5,V4), P_external_ties-{F}(V0,V5,V6), P_external_ties-{F}(V0,V7,V6), P_age-{F}(V0,V7,V2), P_external_ties-{F}(V0,V3,V8), P_external_ties-{F}(V0,V9,V8), P_position-{F}(V0,V9,V10), P_position-{F}(V0,V3,V10) | FALSE
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #51: mergings( V3 == V5, V4 == V6; #48 ), references = 1, size of lhs = 11:
% 0.15/0.41 P_sk1-{F}(V0), organization-{F}(V0), P_sk3-{F}(V1), P_age-{F}(V0,V1,V2), P_sk2-{F}(V3), P_position-{F}(V0,V1,V4), P_position-{F}(V0,V5,V4), P_external_ties-{F}(V0,V5,V6), P_external_ties-{F}(V0,V7,V6), P_age-{F}(V0,V7,V2), P_external_ties-{F}(V0,V3,V8) | FALSE
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #53: exists( #19, #48 ), references = 1, size of lhs = 9:
% 0.15/0.41 P_sk1-{F}(V0), organization-{F}(V0), P_sk3-{F}(V1), P_sk2-{F}(V2), P_position-{F}(V0,V1,V3), P_position-{F}(V0,V4,V3), P_external_ties-{F}(V0,V4,V5), P_external_ties-{F}(V0,V1,V5), P_external_ties-{F}(V0,V2,V6) | FALSE
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #55: exists( #18, #52 ), references = 1, size of lhs = 6:
% 0.15/0.41 P_sk1-{F}(V0), organization-{F}(V0), P_sk3-{F}(V1), P_sk2-{F}(V2), P_external_ties-{F}(V0,V1,V3), P_external_ties-{F}(V0,V2,V4) | FALSE
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #57: exists( #17, #54 ), references = 1, size of lhs = 5:
% 0.15/0.41 P_sk1-{F}(V0), organization-{F}(V0), P_sk3-{F}(V1), P_sk2-{F}(V2), P_external_ties-{F}(V0,V1,V3) | FALSE
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #59: exists( #17, #56 ), references = 1, size of lhs = 4:
% 0.15/0.41 P_sk1-{F}(V0), organization-{F}(V0), P_sk3-{F}(V1), P_sk2-{F}(V2) | FALSE
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #61: exists( #22, #58 ), references = 1, size of lhs = 3:
% 0.15/0.41 P_sk1-{F}(V0), organization-{F}(V0), P_sk3-{F}(V1) | FALSE
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #63: exists( #21, #60 ), references = 1, size of lhs = 2:
% 0.15/0.41 P_sk1-{F}(V0), organization-{F}(V0) | FALSE
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 #66: exists( #20, #64 ), references = 1, size of lhs = 0:
% 0.15/0.41 FALSE | FALSE
% 0.15/0.41 (used 0 times, uses = {})
% 0.15/0.41
% 0.15/0.41 number of learnt formulas = 12
% 0.15/0.41
% 0.15/0.41
% 0.15/0.41 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.41
% 0.15/0.41 randbase = 1
%------------------------------------------------------------------------------