%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT059+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 0.13s 0.42s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT059+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.09/0.35 % Computer : n029.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 7 13:34:42 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.42 GeoParameters:
% 0.13/0.42
% 0.13/0.42 tptp_input = 1
% 0.13/0.42 tptp_output = 0
% 0.13/0.42 nonempty = 1
% 0.13/0.42 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.42 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.13/0.42
% 0.13/0.42
% 0.13/0.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.42 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.42
% 0.13/0.42 RuleSystem INPUT:
% 0.13/0.42
% 0.13/0.42 Initial Rules:
% 0.13/0.42 #0: input, references = 3, size of lhs = 1:
% 0.13/0.42 smaller_or_equal-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #1: input, references = 3, size of lhs = 1:
% 0.13/0.42 pppp0-{F}(V0,V1) | smaller_or_equal-{T}(V0,V1)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #2: input, references = 3, size of lhs = 2:
% 0.13/0.42 pppp0-{F}(V0,V1), V0 == V1 | smaller-{T}(V0,V1)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #3: input, references = 3, size of lhs = 1:
% 0.13/0.42 smaller-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #4: input, references = 3, size of lhs = 1:
% 0.13/0.42 #-{F} V1 | pppp0-{T}(V1,V1)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #5: input, references = 3, size of lhs = 1:
% 0.13/0.42 greater_or_equal-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #6: input, references = 3, size of lhs = 1:
% 0.13/0.42 pppp1-{F}(V0,V1) | greater_or_equal-{T}(V0,V1)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #7: input, references = 3, size of lhs = 2:
% 0.13/0.42 pppp1-{F}(V0,V1), V0 == V1 | greater-{T}(V0,V1)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #8: input, references = 3, size of lhs = 1:
% 0.13/0.42 greater-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #9: input, references = 3, size of lhs = 1:
% 0.13/0.42 #-{F} V1 | pppp1-{T}(V1,V1)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #10: input, references = 3, size of lhs = 1:
% 0.13/0.42 smaller-{F}(V0,V1) | greater-{T}(V1,V0)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #11: input, references = 3, size of lhs = 1:
% 0.13/0.42 greater-{F}(V1,V0) | smaller-{T}(V0,V1)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #12: input, references = 3, size of lhs = 2:
% 0.13/0.42 greater-{F}(V0,V1), greater-{F}(V1,V0) | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #13: input, references = 3, size of lhs = 2:
% 0.13/0.42 greater-{F}(V0,V1), greater-{F}(V2,V0) | greater-{T}(V2,V1)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #14: input, references = 3, size of lhs = 3:
% 0.13/0.42 #-{F} V0, #-{F} V1, V0 == V1 | smaller-{T}(V0,V1), greater-{T}(V0,V1)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #15: input, references = 5, size of lhs = 7:
% 0.13/0.42 P_very_low-{F}(V0), P_low-{F}(V1), P_mod1-{F}(V2), P_mod2-{F}(V3), P_high-{F}(V4), organization-{F}(V5), P_hazard_of_mortality-{F}(V5,V6,V7) | pppp2-{T}(V5,V6,V7,V0,V1,V2,V3,V4)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #16: input, references = 3, size of lhs = 2:
% 0.13/0.42 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7), V2 == V7 | has_immunity-{T}(V0,V1), is_aligned-{T}(V0,V1), positional_advantage-{T}(V0,V1)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #17: input, references = 3, size of lhs = 3:
% 0.13/0.42 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7), is_aligned-{F}(V0,V1), V2 == V6 | has_immunity-{T}(V0,V1), positional_advantage-{T}(V0,V1)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #18: input, references = 3, size of lhs = 3:
% 0.13/0.42 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7), positional_advantage-{F}(V0,V1), V2 == V5 | has_immunity-{T}(V0,V1), is_aligned-{T}(V0,V1)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #19: input, references = 3, size of lhs = 4:
% 0.13/0.42 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7), is_aligned-{F}(V0,V1), positional_advantage-{F}(V0,V1), V2 == V4 | has_immunity-{T}(V0,V1)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #20: input, references = 5, size of lhs = 3:
% 0.13/0.42 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7), has_immunity-{F}(V0,V1), V2 == V3 | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #21: input, references = 4, size of lhs = 5:
% 0.13/0.42 P_very_low-{F}(V0), P_low-{F}(V1), P_mod1-{F}(V2), P_mod2-{F}(V3), P_high-{F}(V4) | EXISTS V5: pppp5-{T}(V5)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #22: input, references = 4, size of lhs = 1:
% 0.13/0.42 pppp5-{F}(V0) | EXISTS V1: pppp4-{T}(V0,V1)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #23: input, references = 4, size of lhs = 1:
% 0.13/0.42 pppp5-{F}(V0) | organization-{T}(V0)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #24: input, references = 4, size of lhs = 2:
% 0.13/0.42 pppp4-{F}(V0,V1), P_hazard_of_mortality-{F}(V0,V1,V2) | EXISTS V3: pppp3-{T}(V0,V3,V2)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #25: input, references = 4, size of lhs = 2:
% 0.13/0.42 pppp4-{F}(V0,V1), P_hazard_of_mortality-{F}(V0,V1,V2) | has_immunity-{T}(V0,V1)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #26: input, references = 4, size of lhs = 2:
% 0.13/0.42 pppp3-{F}(V0,V1,V2), P_hazard_of_mortality-{F}(V0,V1,V2) | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #27: input, references = 4, size of lhs = 2:
% 0.13/0.42 pppp3-{F}(V0,V1,V2), P_hazard_of_mortality-{F}(V0,V1,V3) | has_immunity-{T}(V0,V1)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #28: input, references = 5, size of lhs = 2:
% 0.13/0.42 #-{F} V0, #-{F} V1 | EXISTS V2: P_hazard_of_mortality-{T}(V0,V1,V2)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #29: input, references = 4, size of lhs = 0:
% 0.13/0.42 FALSE | EXISTS V0: P_very_low-{T}(V0)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #30: input, references = 4, size of lhs = 0:
% 0.13/0.42 FALSE | EXISTS V0: P_low-{T}(V0)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #31: input, references = 4, size of lhs = 0:
% 0.13/0.42 FALSE | EXISTS V0: P_mod1-{T}(V0)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #32: input, references = 4, size of lhs = 0:
% 0.13/0.42 FALSE | EXISTS V0: P_mod2-{T}(V0)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #33: input, references = 4, size of lhs = 0:
% 0.13/0.42 FALSE | EXISTS V0: P_high-{T}(V0)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 number of initial rules = 34
% 0.13/0.42
% 0.13/0.42 Simplifiers:
% 0.13/0.42 #34: unsound, references = 3, size of lhs = 3:
% 0.13/0.42 organization-{F}(V0), organization-{F}(V1), V0 == V1 | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #35: unsound, references = 3, size of lhs = 3:
% 0.13/0.42 has_immunity-{F}(V0,V1), has_immunity-{F}(V2,V3), V0 == V2 | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #36: unsound, references = 3, size of lhs = 3:
% 0.13/0.42 is_aligned-{F}(V0,V1), is_aligned-{F}(V2,V3), V0 == V2 | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #37: unsound, references = 3, size of lhs = 3:
% 0.13/0.42 positional_advantage-{F}(V0,V1), positional_advantage-{F}(V2,V3), V0 == V2 | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #38: unsound, references = 3, size of lhs = 3:
% 0.13/0.42 P_hazard_of_mortality-{F}(V0,V1,V2), P_hazard_of_mortality-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #39: unsound, references = 3, size of lhs = 3:
% 0.13/0.42 P_very_low-{F}(V0), P_very_low-{F}(V1), V0 == V1 | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #40: unsound, references = 3, size of lhs = 3:
% 0.13/0.42 P_low-{F}(V0), P_low-{F}(V1), V0 == V1 | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #41: unsound, references = 3, size of lhs = 3:
% 0.13/0.42 P_mod1-{F}(V0), P_mod1-{F}(V1), V0 == V1 | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #42: unsound, references = 3, size of lhs = 3:
% 0.13/0.42 P_mod2-{F}(V0), P_mod2-{F}(V1), V0 == V1 | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #43: unsound, references = 3, size of lhs = 3:
% 0.13/0.42 P_high-{F}(V0), P_high-{F}(V1), V0 == V1 | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #44: unsound, references = 3, size of lhs = 3:
% 0.13/0.42 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7), pppp2-{F}(V8,V9,V10,V11,V12,V13,V14,V15), V3 == V11 | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #45: unsound, references = 3, size of lhs = 3:
% 0.13/0.42 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7), pppp2-{F}(V8,V9,V10,V11,V12,V13,V14,V15), V4 == V12 | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #46: unsound, references = 3, size of lhs = 3:
% 0.13/0.42 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7), pppp2-{F}(V8,V9,V10,V11,V12,V13,V14,V15), V5 == V13 | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #47: unsound, references = 3, size of lhs = 3:
% 0.13/0.42 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7), pppp2-{F}(V8,V9,V10,V11,V12,V13,V14,V15), V6 == V14 | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #48: unsound, references = 3, size of lhs = 3:
% 0.13/0.42 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7), pppp2-{F}(V8,V9,V10,V11,V12,V13,V14,V15), V7 == V15 | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #49: unsound, references = 3, size of lhs = 3:
% 0.13/0.42 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7), pppp2-{F}(V8,V9,V10,V11,V12,V13,V14,V15), V0 == V8 | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #50: unsound, references = 3, size of lhs = 3:
% 0.13/0.42 pppp2-{F}(V0,V1,V2,V3,V4,V5,V6,V7), pppp2-{F}(V0,V1,V10,V11,V12,V13,V14,V15), V2 == V10 | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #51: unsound, references = 3, size of lhs = 3:
% 0.13/0.42 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #52: unsound, references = 3, size of lhs = 3:
% 0.13/0.42 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #53: unsound, references = 3, size of lhs = 3:
% 0.13/0.42 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #54: unsound, references = 3, size of lhs = 3:
% 0.13/0.42 pppp4-{F}(V0,V1), pppp4-{F}(V2,V3), V0 == V2 | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #55: unsound, references = 3, size of lhs = 3:
% 0.13/0.42 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 number of simplifiers = 22
% 0.13/0.42
% 0.13/0.42 Learnt:
% 0.13/0.42 #61: exists( #28, #59 ), references = 1, size of lhs = 7:
% 0.13/0.42 P_very_low-{F}(V0), P_low-{F}(V1), P_mod1-{F}(V2), P_mod2-{F}(V3), P_high-{F}(V4), organization-{F}(V5), pppp3-{F}(V5,V6,V7) | P_hazard_of_mortality-{T}(V5,V6,V0)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #64: exists( #24, #62 ), references = 2, size of lhs = 8:
% 0.13/0.42 P_very_low-{F}(V0), P_low-{F}(V1), P_mod1-{F}(V2), P_mod2-{F}(V3), P_high-{F}(V4), organization-{F}(V5), pppp4-{F}(V5,V6), P_hazard_of_mortality-{F}(V5,V6,V0) | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #68: exists( #28, #66 ), references = 1, size of lhs = 7:
% 0.13/0.42 P_very_low-{F}(V0), P_low-{F}(V1), P_mod1-{F}(V2), P_mod2-{F}(V3), P_high-{F}(V4), organization-{F}(V5), pppp4-{F}(V5,V6) | P_hazard_of_mortality-{T}(V5,V6,V0)
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #75: mergings( V2 == V7, V3 == V8, V4 == V9, V5 == V10; #70 ), references = 1, size of lhs = 7:
% 0.13/0.42 pppp5-{F}(V0), organization-{F}(V0), P_very_low-{F}(V1), P_low-{F}(V2), P_mod1-{F}(V3), P_mod2-{F}(V4), P_high-{F}(V5) | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #87: mergings( V0 == V10, V1 == V6, V6 == V11, V2 == V7, V7 == V12, V3 == V8, V8 == V13, V4 == V9, V9 == V14; #77 ), references = 1, size of lhs = 5:
% 0.13/0.42 P_very_low-{F}(V0), P_low-{F}(V1), P_mod1-{F}(V2), P_mod2-{F}(V3), P_high-{F}(V4) | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #96: mergings( V1 == V8, V2 == V5, V5 == V9, V3 == V6, V6 == V10, V4 == V7, V7 == V11; #88 ), references = 1, size of lhs = 4:
% 0.13/0.42 P_very_low-{F}(V0), P_low-{F}(V1), P_mod1-{F}(V2), P_mod2-{F}(V3) | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #103: mergings( V1 == V6, V2 == V4, V4 == V7, V3 == V5, V5 == V8; #97 ), references = 1, size of lhs = 3:
% 0.13/0.42 P_very_low-{F}(V0), P_low-{F}(V1), P_mod1-{F}(V2) | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #108: mergings( V1 == V4, V2 == V3, V3 == V5; #104 ), references = 1, size of lhs = 2:
% 0.13/0.42 P_very_low-{F}(V0), P_low-{F}(V1) | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #111: mergings( V1 == V2; #109 ), references = 1, size of lhs = 1:
% 0.13/0.42 P_very_low-{F}(V0) | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 #113: exists( #29, #109 ), references = 1, size of lhs = 0:
% 0.13/0.42 FALSE | FALSE
% 0.13/0.42 (used 0 times, uses = {})
% 0.13/0.42
% 0.13/0.42 number of learnt formulas = 10
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% 0.13/0.42 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
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% 0.13/0.42 randbase = 1
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