%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT058+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n005.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 06:10:30 AM UTC 2026
% Result : Theorem 0.22s 0.48s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT058+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 7 13:31:20 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.22/0.48 GeoParameters:
% 0.22/0.48
% 0.22/0.48 tptp_input = 1
% 0.22/0.48 tptp_output = 0
% 0.22/0.48 nonempty = 1
% 0.22/0.48 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.48 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.22/0.48
% 0.22/0.48
% 0.22/0.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.48 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.48
% 0.22/0.48 RuleSystem INPUT:
% 0.22/0.48
% 0.22/0.48 Initial Rules:
% 0.22/0.48 #0: input, references = 3, size of lhs = 1:
% 0.22/0.48 smaller_or_equal-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #1: input, references = 10, size of lhs = 1:
% 0.22/0.48 pppp0-{F}(V0,V1) | smaller_or_equal-{T}(V0,V1)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #2: input, references = 3, size of lhs = 2:
% 0.22/0.48 pppp0-{F}(V0,V1), V0 == V1 | smaller-{T}(V0,V1)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #3: input, references = 8, size of lhs = 1:
% 0.22/0.48 smaller-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #4: input, references = 5, size of lhs = 1:
% 0.22/0.48 #-{F} V1 | pppp0-{T}(V1,V1)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #5: input, references = 8, size of lhs = 1:
% 0.22/0.48 greater_or_equal-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #6: input, references = 3, size of lhs = 1:
% 0.22/0.48 pppp1-{F}(V0,V1) | greater_or_equal-{T}(V0,V1)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #7: input, references = 8, size of lhs = 2:
% 0.22/0.48 pppp1-{F}(V0,V1), V0 == V1 | greater-{T}(V0,V1)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #8: input, references = 3, size of lhs = 1:
% 0.22/0.48 greater-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #9: input, references = 3, size of lhs = 1:
% 0.22/0.48 #-{F} V1 | pppp1-{T}(V1,V1)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #10: input, references = 3, size of lhs = 1:
% 0.22/0.48 smaller-{F}(V0,V1) | greater-{T}(V1,V0)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #11: input, references = 8, size of lhs = 1:
% 0.22/0.48 greater-{F}(V1,V0) | smaller-{T}(V0,V1)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #12: input, references = 3, size of lhs = 2:
% 0.22/0.48 greater-{F}(V0,V1), greater-{F}(V1,V0) | FALSE
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #13: input, references = 3, size of lhs = 2:
% 0.22/0.48 greater-{F}(V0,V1), greater-{F}(V2,V0) | greater-{T}(V2,V1)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #14: input, references = 3, size of lhs = 3:
% 0.22/0.48 #-{F} V0, #-{F} V1, V0 == V1 | smaller-{T}(V0,V1), greater-{T}(V0,V1)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #15: input, references = 4, size of lhs = 1:
% 0.22/0.48 fragile_position-{F}(V0) | pppp2-{T}(V0)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #16: input, references = 3, size of lhs = 1:
% 0.22/0.48 pppp2-{F}(V0) | fragile_position-{T}(V0)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #17: input, references = 4, size of lhs = 4:
% 0.22/0.48 P_sigma-{F}(V0), pppp2-{F}(V1), P_age-{F}(V1,V2,V3), smaller_or_equal-{F}(V3,V0) | positional_advantage-{T}(V1,V2)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #18: input, references = 3, size of lhs = 5:
% 0.22/0.48 P_sigma-{F}(V0), pppp2-{F}(V1), P_age-{F}(V1,V2,V3), greater-{F}(V3,V0), positional_advantage-{F}(V1,V2) | FALSE
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #19: input, references = 3, size of lhs = 2:
% 0.22/0.48 P_sigma-{F}(V0), #-{F} V1 | pppp2-{T}(V1), pppp8-{T}(V1,V0)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #20: input, references = 3, size of lhs = 1:
% 0.22/0.48 pppp8-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V2,V1)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #21: input, references = 3, size of lhs = 3:
% 0.22/0.48 pppp4-{F}(V0,V1,V2), P_age-{F}(V0,V1,V3), positional_advantage-{F}(V0,V1) | greater-{T}(V3,V2)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #22: input, references = 3, size of lhs = 2:
% 0.22/0.48 pppp4-{F}(V0,V1,V2), P_age-{F}(V0,V1,V3) | smaller_or_equal-{T}(V3,V2), positional_advantage-{T}(V0,V1)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #23: input, references = 3, size of lhs = 2:
% 0.22/0.48 pppp4-{F}(V0,V1,V2), P_age-{F}(V0,V1,V3) | smaller_or_equal-{T}(V3,V2), greater-{T}(V3,V2)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #24: input, references = 4, size of lhs = 2:
% 0.22/0.48 P_sigma-{F}(V0), robust_position-{F}(V1) | pppp3-{T}(V1)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #25: input, references = 3, size of lhs = 2:
% 0.22/0.48 P_sigma-{F}(V0), pppp3-{F}(V1) | robust_position-{T}(V1)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #26: input, references = 4, size of lhs = 6:
% 0.22/0.48 P_sigma-{F}(V0), P_tau-{F}(V1), pppp3-{F}(V2), P_age-{F}(V2,V3,V4), smaller_or_equal-{F}(V4,V1), positional_advantage-{F}(V2,V3) | FALSE
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #27: input, references = 3, size of lhs = 5:
% 0.22/0.48 P_sigma-{F}(V0), P_tau-{F}(V1), pppp3-{F}(V2), P_age-{F}(V2,V3,V4), greater-{F}(V4,V1) | positional_advantage-{T}(V2,V3)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #28: input, references = 4, size of lhs = 3:
% 0.22/0.48 P_sigma-{F}(V0), P_tau-{F}(V1), #-{F} V2 | pppp3-{T}(V2), pppp9-{T}(V2,V1)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #29: input, references = 3, size of lhs = 1:
% 0.22/0.48 pppp9-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V2,V1)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #30: input, references = 4, size of lhs = 2:
% 0.22/0.48 pppp5-{F}(V0,V1,V2), P_age-{F}(V0,V1,V3) | positional_advantage-{T}(V0,V1), greater-{T}(V3,V2)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #31: input, references = 3, size of lhs = 3:
% 0.22/0.48 pppp5-{F}(V0,V1,V2), P_age-{F}(V0,V1,V3), positional_advantage-{F}(V0,V1) | smaller_or_equal-{T}(V3,V2)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #32: input, references = 3, size of lhs = 2:
% 0.22/0.48 pppp5-{F}(V0,V1,V2), P_age-{F}(V0,V1,V3) | smaller_or_equal-{T}(V3,V2), greater-{T}(V3,V2)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #33: input, references = 6, size of lhs = 3:
% 0.22/0.48 P_sigma-{F}(V0), P_tau-{F}(V1), P_zero-{F}(V2) | greater_or_equal-{T}(V0,V2)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #34: input, references = 5, size of lhs = 3:
% 0.22/0.48 P_sigma-{F}(V0), P_tau-{F}(V1), P_zero-{F}(V2) | greater_or_equal-{T}(V1,V2)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #35: input, references = 4, size of lhs = 3:
% 0.22/0.48 P_sigma-{F}(V0), P_tau-{F}(V1), P_zero-{F}(V2) | EXISTS V3: pppp7-{T}(V3,V2)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #36: input, references = 4, size of lhs = 1:
% 0.22/0.48 pppp7-{F}(V0,V1) | robust_position-{T}(V0)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #37: input, references = 4, size of lhs = 1:
% 0.22/0.48 pppp7-{F}(V0,V1) | fragile_position-{T}(V0)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #38: input, references = 4, size of lhs = 1:
% 0.22/0.48 pppp7-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #39: input, references = 3, size of lhs = 1:
% 0.22/0.48 pppp7-{F}(V0,V1) | organization-{T}(V0)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #40: input, references = 4, size of lhs = 3:
% 0.22/0.48 pppp6-{F}(V0,V1,V2), P_age-{F}(V0,V2,V3), V3 == V1 | FALSE
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #41: input, references = 4, size of lhs = 2:
% 0.22/0.48 #-{F} V0, #-{F} V1 | EXISTS V2: P_age-{T}(V0,V1,V2)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #42: input, references = 4, size of lhs = 0:
% 0.22/0.48 FALSE | EXISTS V0: P_sigma-{T}(V0)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #43: input, references = 4, size of lhs = 0:
% 0.22/0.48 FALSE | EXISTS V0: P_tau-{T}(V0)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #44: input, references = 5, size of lhs = 0:
% 0.22/0.48 FALSE | EXISTS V0: P_zero-{T}(V0)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 number of initial rules = 45
% 0.22/0.48
% 0.22/0.48 Simplifiers:
% 0.22/0.48 #45: unsound, references = 3, size of lhs = 3:
% 0.22/0.48 P_age-{F}(V0,V1,V2), P_age-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #46: unsound, references = 3, size of lhs = 3:
% 0.22/0.48 P_sigma-{F}(V0), P_sigma-{F}(V1), V0 == V1 | FALSE
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #47: unsound, references = 3, size of lhs = 3:
% 0.22/0.48 P_tau-{F}(V0), P_tau-{F}(V1), V0 == V1 | FALSE
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #48: unsound, references = 3, size of lhs = 3:
% 0.22/0.48 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #49: unsound, references = 3, size of lhs = 3:
% 0.22/0.48 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #50: unsound, references = 3, size of lhs = 3:
% 0.22/0.48 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #51: unsound, references = 3, size of lhs = 3:
% 0.22/0.48 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #52: unsound, references = 3, size of lhs = 3:
% 0.22/0.48 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #53: unsound, references = 3, size of lhs = 3:
% 0.22/0.48 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #54: unsound, references = 3, size of lhs = 3:
% 0.22/0.48 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V1,V5), V0 == V3 | FALSE
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #55: unsound, references = 3, size of lhs = 3:
% 0.22/0.48 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #56: unsound, references = 3, size of lhs = 3:
% 0.22/0.48 pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #57: unsound, references = 3, size of lhs = 3:
% 0.22/0.48 pppp7-{F}(V0,V1), pppp7-{F}(V2,V3), V1 == V3 | FALSE
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #58: unsound, references = 3, size of lhs = 3:
% 0.22/0.48 pppp8-{F}(V0,V1), pppp8-{F}(V2,V3), V1 == V3 | FALSE
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #59: unsound, references = 3, size of lhs = 3:
% 0.22/0.48 pppp9-{F}(V0,V1), pppp9-{F}(V2,V3), V1 == V3 | FALSE
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 number of simplifiers = 15
% 0.22/0.48
% 0.22/0.48 Learnt:
% 0.22/0.48 #63: mergings( V0 == V3, V1 == V4; #60 ), references = 1, size of lhs = 5:
% 0.22/0.48 P_sigma-{F}(V0), P_tau-{F}(V1), smaller_or_equal-{F}(V2,V1), positional_advantage-{F}(V3,V4), P_age-{F}(V3,V4,V2) | pppp9-{T}(V3,V1)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #70: disj( #30, input ), references = 1, size of lhs = 2:
% 0.22/0.48 pppp5-{F}(V0,V1,V2), P_age-{F}(V0,V1,V2) | positional_advantage-{T}(V0,V1)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #74: exists( #41, #40 ), references = 1, size of lhs = 1:
% 0.22/0.48 pppp6-{F}(V0,V1,V2) | P_age-{T}(V0,V2,V1)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #79: mergings( V3 == V4; #77 ), references = 1, size of lhs = 7:
% 0.22/0.48 pppp2-{F}(V0), pppp3-{F}(V0), pppp7-{F}(V0,V1), smaller_or_equal-{F}(V1,V2), P_sigma-{F}(V2), P_tau-{F}(V3), smaller_or_equal-{F}(V1,V3) | FALSE
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #89: mergings( V0 == V4, V4 == V5, V5 == V6, V1 == V7; #84 ), references = 6, size of lhs = 5:
% 0.22/0.48 P_zero-{F}(V0), smaller_or_equal-{F}(V0,V1), P_sigma-{F}(V1), P_tau-{F}(V2), smaller_or_equal-{F}(V0,V2) | FALSE
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #102: mergings( V2 == V4, V4 == V5, V5 == V6, V1 == V3, V3 == V6; #96 ), references = 3, size of lhs = 2:
% 0.22/0.48 P_tau-{F}(V0), P_sigma-{F}(V0) | P_zero-{T}(V0)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #119: mergings( V2 == V4, V1 == V3; #116 ), references = 1, size of lhs = 2:
% 0.22/0.48 P_tau-{F}(V0), P_sigma-{F}(V1) | P_zero-{T}(V0), P_zero-{T}(V1)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #132: mergings( V1 == V3, V3 == V5, V0 == V2, V2 == V4, V4 == V6; #126 ), references = 1, size of lhs = 4:
% 0.22/0.48 P_sigma-{F}(V0), P_tau-{F}(V1), V0 == V1, smaller_or_equal-{F}(V1,V1) | P_zero-{T}(V0)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #147: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #142 ), references = 1, size of lhs = 2:
% 0.22/0.48 P_sigma-{F}(V0), smaller_or_equal-{F}(V0,V0) | P_tau-{T}(V0)
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 #158: exists( #42, #156 ), references = 1, size of lhs = 0:
% 0.22/0.48 FALSE | FALSE
% 0.22/0.48 (used 0 times, uses = {})
% 0.22/0.48
% 0.22/0.48 number of learnt formulas = 10
% 0.22/0.48
% 0.22/0.48
% 0.22/0.48 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.48
% 0.22/0.48 randbase = 1
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