%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT049+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n012.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 06:10:28 AM UTC 2026
% Result : Theorem 0.04s 0.31s
% Output : Refutation 0.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : MGT049+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.02 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.04/0.29 % Computer : n012.cluster.edu
% 0.04/0.29 % Model : x86_64 x86_64
% 0.04/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.29 % Memory : 8046.5625MB
% 0.04/0.29 % OS : Linux 6.8.0-71-generic
% 0.04/0.29 % CPULimit : 300
% 0.04/0.29 % WCLimit : 300
% 0.04/0.29 % DateTime : Mon Sep 7 13:15:56 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.31 GeoParameters:
% 0.04/0.31
% 0.04/0.31 tptp_input = 1
% 0.04/0.31 tptp_output = 0
% 0.04/0.31 nonempty = 1
% 0.04/0.31 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.31 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.04/0.31
% 0.04/0.31
% 0.04/0.31 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.31 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.31
% 0.04/0.31 RuleSystem INPUT:
% 0.04/0.31
% 0.04/0.31 Initial Rules:
% 0.04/0.31 #0: input, references = 3, size of lhs = 1:
% 0.04/0.31 smaller_or_equal-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #1: input, references = 3, size of lhs = 1:
% 0.04/0.31 pppp0-{F}(V0,V1) | smaller_or_equal-{T}(V0,V1)
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #2: input, references = 3, size of lhs = 2:
% 0.04/0.31 pppp0-{F}(V0,V1), V0 == V1 | smaller-{T}(V0,V1)
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #3: input, references = 3, size of lhs = 1:
% 0.04/0.31 smaller-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #4: input, references = 3, size of lhs = 1:
% 0.04/0.31 #-{F} V1 | pppp0-{T}(V1,V1)
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #5: input, references = 3, size of lhs = 1:
% 0.04/0.31 greater_or_equal-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #6: input, references = 3, size of lhs = 1:
% 0.04/0.31 pppp1-{F}(V0,V1) | greater_or_equal-{T}(V0,V1)
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #7: input, references = 3, size of lhs = 2:
% 0.04/0.31 pppp1-{F}(V0,V1), V0 == V1 | greater-{T}(V0,V1)
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #8: input, references = 3, size of lhs = 1:
% 0.04/0.31 greater-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #9: input, references = 3, size of lhs = 1:
% 0.04/0.31 #-{F} V1 | pppp1-{T}(V1,V1)
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #10: input, references = 3, size of lhs = 1:
% 0.04/0.31 smaller-{F}(V0,V1) | greater-{T}(V1,V0)
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #11: input, references = 3, size of lhs = 1:
% 0.04/0.31 greater-{F}(V1,V0) | smaller-{T}(V0,V1)
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #12: input, references = 3, size of lhs = 2:
% 0.04/0.31 greater-{F}(V0,V1), greater-{F}(V1,V0) | FALSE
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #13: input, references = 3, size of lhs = 2:
% 0.04/0.31 greater-{F}(V0,V1), greater-{F}(V2,V0) | greater-{T}(V2,V1)
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #14: input, references = 3, size of lhs = 3:
% 0.04/0.31 #-{F} V0, #-{F} V1, V0 == V1 | smaller-{T}(V0,V1), greater-{T}(V0,V1)
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #15: input, references = 3, size of lhs = 6:
% 0.04/0.31 organization-{F}(V0), P_external_ties-{F}(V0,V1,V3), P_external_ties-{F}(V0,V2,V4), P_position-{F}(V0,V1,V5), P_position-{F}(V0,V2,V6), greater-{F}(V3,V4) | greater-{T}(V5,V6)
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #16: input, references = 4, size of lhs = 6:
% 0.04/0.31 organization-{F}(V0), P_external_ties-{F}(V0,V1,V4), P_external_ties-{F}(V0,V2,V4), P_position-{F}(V0,V1,V5), P_position-{F}(V0,V2,V6), V5 == V6 | FALSE
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #17: input, references = 5, size of lhs = 4:
% 0.04/0.31 organization-{F}(V0), P_external_ties-{F}(V0,V1,V3), P_external_ties-{F}(V0,V2,V4), V3 == V4 | FALSE
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #18: input, references = 4, size of lhs = 0:
% 0.04/0.31 FALSE | EXISTS V0: pppp4-{T}(V0)
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #19: input, references = 4, size of lhs = 1:
% 0.04/0.31 pppp4-{F}(V0) | EXISTS V1: pppp3-{T}(V0,V1)
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #20: input, references = 4, size of lhs = 1:
% 0.04/0.31 pppp4-{F}(V0) | organization-{T}(V0)
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #21: input, references = 4, size of lhs = 1:
% 0.04/0.31 pppp3-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #22: input, references = 4, size of lhs = 5:
% 0.04/0.31 pppp2-{F}(V0,V1,V2), P_age-{F}(V0,V1,V3), P_age-{F}(V0,V2,V4), P_position-{F}(V0,V1,V6), P_position-{F}(V0,V2,V6) | FALSE
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #23: input, references = 3, size of lhs = 5:
% 0.04/0.31 pppp2-{F}(V0,V1,V2), P_age-{F}(V0,V1,V3), P_age-{F}(V0,V2,V4), P_position-{F}(V0,V1,V5), P_position-{F}(V0,V2,V6) | greater-{T}(V3,V4)
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #24: input, references = 6, size of lhs = 2:
% 0.04/0.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_external_ties-{T}(V0,V1,V2)
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #25: input, references = 5, size of lhs = 2:
% 0.04/0.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_position-{T}(V0,V1,V2)
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #26: input, references = 5, size of lhs = 2:
% 0.04/0.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_age-{T}(V0,V1,V2)
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 number of initial rules = 27
% 0.04/0.31
% 0.04/0.31 Simplifiers:
% 0.04/0.31 #27: unsound, references = 3, size of lhs = 3:
% 0.04/0.31 organization-{F}(V0), organization-{F}(V1), V0 == V1 | FALSE
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #28: unsound, references = 3, size of lhs = 3:
% 0.04/0.31 P_external_ties-{F}(V0,V1,V2), P_external_ties-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #29: unsound, references = 3, size of lhs = 3:
% 0.04/0.31 P_position-{F}(V0,V1,V2), P_position-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #30: unsound, references = 3, size of lhs = 3:
% 0.04/0.31 P_age-{F}(V0,V1,V2), P_age-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #31: unsound, references = 3, size of lhs = 3:
% 0.04/0.31 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #32: unsound, references = 3, size of lhs = 3:
% 0.04/0.31 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V4,V5), V1 == V4 | FALSE
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #33: unsound, references = 3, size of lhs = 3:
% 0.04/0.31 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #34: unsound, references = 3, size of lhs = 3:
% 0.04/0.31 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #35: unsound, references = 3, size of lhs = 3:
% 0.04/0.31 pppp3-{F}(V0,V1), pppp3-{F}(V2,V3), V0 == V2 | FALSE
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #36: unsound, references = 3, size of lhs = 3:
% 0.04/0.31 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 number of simplifiers = 10
% 0.04/0.31
% 0.04/0.31 Learnt:
% 0.04/0.31 #38: exists( #25, #16 ), references = 3, size of lhs = 4:
% 0.04/0.31 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)
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #40: exists( #24, #17 ), references = 1, size of lhs = 3:
% 0.04/0.31 organization-{F}(V0), P_external_ties-{F}(V0,V1,V2), #-{F} V3 | P_external_ties-{T}(V0,V3,V2)
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #42: exists( #26, #22 ), references = 1, size of lhs = 4:
% 0.04/0.31 pppp2-{F}(V0,V1,V2), P_age-{F}(V0,V1,V3), P_position-{F}(V0,V1,V4), P_position-{F}(V0,V2,V4) | FALSE
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #46: exists( #21, #44 ), references = 1, size of lhs = 7:
% 0.04/0.31 organization-{F}(V0), pppp3-{F}(V0,V1), P_position-{F}(V0,V1,V2), P_position-{F}(V0,V3,V2), P_external_ties-{F}(V0,V3,V4), P_external_ties-{F}(V0,V5,V4), P_age-{F}(V0,V1,V6) | FALSE
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #48: exists( #26, #45 ), references = 2, size of lhs = 6:
% 0.04/0.31 organization-{F}(V0), pppp3-{F}(V0,V1), P_position-{F}(V0,V1,V2), P_position-{F}(V0,V3,V2), P_external_ties-{F}(V0,V3,V4), P_external_ties-{F}(V0,V5,V4) | FALSE
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #54: mergings( V4 == V5; #52 ), references = 1, size of lhs = 5:
% 0.04/0.31 organization-{F}(V0), pppp3-{F}(V0,V1), P_external_ties-{F}(V0,V1,V2), P_external_ties-{F}(V0,V3,V2), P_external_ties-{F}(V0,V4,V2) | FALSE
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #57: exists( #24, #55 ), references = 1, size of lhs = 2:
% 0.04/0.31 organization-{F}(V0), pppp3-{F}(V0,V1) | FALSE
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #59: exists( #19, #56 ), references = 1, size of lhs = 2:
% 0.04/0.31 pppp4-{F}(V0), organization-{F}(V0) | FALSE
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 #62: exists( #18, #60 ), references = 1, size of lhs = 0:
% 0.04/0.31 FALSE | FALSE
% 0.04/0.31 (used 0 times, uses = {})
% 0.04/0.31
% 0.04/0.31 number of learnt formulas = 9
% 0.04/0.31
% 0.04/0.31
% 0.04/0.31 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.31
% 0.04/0.31 randbase = 1
%------------------------------------------------------------------------------