%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT008-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n009.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 06:10:18 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.41s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT008-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.08/0.35 % Computer : n009.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 7 11:45:37 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.41 GeoParameters:
% 0.12/0.41
% 0.12/0.41 tptp_input = 1
% 0.12/0.41 tptp_output = 0
% 0.12/0.41 nonempty = 1
% 0.12/0.41 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.41 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.12/0.41
% 0.12/0.41
% 0.12/0.41 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.41 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.41
% 0.12/0.41 RuleSystem INPUT:
% 0.12/0.41
% 0.12/0.41 Initial Rules:
% 0.12/0.41 #0: input, references = 5, size of lhs = 2:
% 0.12/0.41 P_sk1-{F}(V1,V0,V2), organization-{F}(V0,V1) | inertia-{T}(V0,V2,V1)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #1: input, references = 4, size of lhs = 9:
% 0.12/0.41 organization-{F}(V0,V1), organization-{F}(V3,V2), class-{F}(V3,V4,V2), class-{F}(V0,V4,V1), size-{F}(V0,V5,V1), size-{F}(V3,V6,V2), greater-{F}(V5,V6), inertia-{F}(V0,V7,V1), inertia-{F}(V3,V8,V2) | greater-{T}(V7,V8)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #2: input, references = 4, size of lhs = 9:
% 0.12/0.41 organization-{F}(V0,V1), reorganization_free-{F}(V0,V1,V1), organization-{F}(V3,V2), reorganization_free-{F}(V3,V2,V2), inertia-{F}(V0,V4,V1), inertia-{F}(V3,V5,V2), greater-{F}(V4,V5), survival_chance-{F}(V0,V6,V1), survival_chance-{F}(V3,V7,V2) | greater-{T}(V6,V7)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #3: input, references = 4, size of lhs = 2:
% 0.12/0.41 P_sk2-{F}(V0), P_sk9-{F}(V1) | organization-{T}(V0,V1)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #4: input, references = 4, size of lhs = 4:
% 0.12/0.41 P_sk2-{F}(V0), P_sk9-{F}(V1), P_sk3-{F}(V2), P_sk10-{F}(V3) | organization-{T}(V2,V3)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #5: input, references = 4, size of lhs = 4:
% 0.12/0.41 P_sk2-{F}(V0), P_sk9-{F}(V1), P_sk3-{F}(V2), P_sk10-{F}(V3) | reorganization_free-{T}(V0,V1,V1)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #6: input, references = 4, size of lhs = 4:
% 0.12/0.41 P_sk2-{F}(V0), P_sk9-{F}(V1), P_sk3-{F}(V2), P_sk10-{F}(V3) | reorganization_free-{T}(V2,V3,V3)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #7: input, references = 4, size of lhs = 5:
% 0.12/0.41 P_sk2-{F}(V0), P_sk9-{F}(V1), P_sk3-{F}(V2), P_sk10-{F}(V3), P_sk4-{F}(V4) | class-{T}(V0,V4,V1)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #8: input, references = 4, size of lhs = 5:
% 0.12/0.41 P_sk2-{F}(V0), P_sk9-{F}(V1), P_sk3-{F}(V2), P_sk10-{F}(V3), P_sk4-{F}(V4) | class-{T}(V2,V4,V3)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #9: input, references = 4, size of lhs = 6:
% 0.12/0.41 P_sk2-{F}(V0), P_sk9-{F}(V1), P_sk3-{F}(V2), P_sk10-{F}(V3), P_sk4-{F}(V4), P_sk5-{F}(V5) | survival_chance-{T}(V0,V5,V1)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #10: input, references = 4, size of lhs = 7:
% 0.12/0.41 P_sk2-{F}(V0), P_sk9-{F}(V1), P_sk3-{F}(V2), P_sk10-{F}(V3), P_sk4-{F}(V4), P_sk5-{F}(V5), P_sk6-{F}(V6) | survival_chance-{T}(V2,V6,V3)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #11: input, references = 4, size of lhs = 8:
% 0.12/0.41 P_sk2-{F}(V0), P_sk9-{F}(V1), P_sk3-{F}(V2), P_sk10-{F}(V3), P_sk4-{F}(V4), P_sk5-{F}(V5), P_sk6-{F}(V6), P_sk7-{F}(V7) | size-{T}(V0,V7,V1)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #12: input, references = 4, size of lhs = 9:
% 0.12/0.41 P_sk2-{F}(V0), P_sk9-{F}(V1), P_sk3-{F}(V2), P_sk10-{F}(V3), P_sk4-{F}(V4), P_sk5-{F}(V5), P_sk6-{F}(V6), P_sk7-{F}(V7), P_sk8-{F}(V8) | size-{T}(V2,V8,V3)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #13: input, references = 4, size of lhs = 9:
% 0.12/0.41 P_sk2-{F}(V0), P_sk9-{F}(V1), P_sk3-{F}(V2), P_sk10-{F}(V3), P_sk4-{F}(V4), P_sk5-{F}(V5), P_sk6-{F}(V6), P_sk7-{F}(V7), P_sk8-{F}(V8) | greater-{T}(V8,V7)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #14: input, references = 4, size of lhs = 10:
% 0.12/0.41 P_sk2-{F}(V0), P_sk9-{F}(V1), P_sk3-{F}(V2), P_sk10-{F}(V3), P_sk4-{F}(V4), P_sk5-{F}(V5), P_sk6-{F}(V6), P_sk7-{F}(V7), P_sk8-{F}(V8), greater-{F}(V6,V5) | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #15: input, references = 5, size of lhs = 2:
% 0.12/0.41 #-{F} V0, #-{F} V1 | EXISTS V2: P_sk1-{T}(V0,V1,V2)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #16: input, references = 4, size of lhs = 0:
% 0.12/0.41 FALSE | EXISTS V0: P_sk2-{T}(V0)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #17: input, references = 4, size of lhs = 0:
% 0.12/0.41 FALSE | EXISTS V0: P_sk9-{T}(V0)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #18: input, references = 4, size of lhs = 0:
% 0.12/0.41 FALSE | EXISTS V0: P_sk3-{T}(V0)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #19: input, references = 4, size of lhs = 0:
% 0.12/0.41 FALSE | EXISTS V0: P_sk10-{T}(V0)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #20: input, references = 4, size of lhs = 0:
% 0.12/0.41 FALSE | EXISTS V0: P_sk4-{T}(V0)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #21: input, references = 4, size of lhs = 0:
% 0.12/0.41 FALSE | EXISTS V0: P_sk5-{T}(V0)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #22: input, references = 4, size of lhs = 0:
% 0.12/0.41 FALSE | EXISTS V0: P_sk6-{T}(V0)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #23: input, references = 4, size of lhs = 0:
% 0.12/0.41 FALSE | EXISTS V0: P_sk7-{T}(V0)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #24: input, references = 4, size of lhs = 0:
% 0.12/0.41 FALSE | EXISTS V0: P_sk8-{T}(V0)
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 number of initial rules = 25
% 0.12/0.41
% 0.12/0.41 Simplifiers:
% 0.12/0.41 #25: unsound, references = 3, size of lhs = 3:
% 0.12/0.41 inertia-{F}(V0,V1,V2), inertia-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #26: unsound, references = 3, size of lhs = 3:
% 0.12/0.41 class-{F}(V0,V1,V2), class-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #27: unsound, references = 3, size of lhs = 2:
% 0.12/0.41 reorganization_free-{F}(V0,V1,V2), V2 == V1 | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #28: unsound, references = 3, size of lhs = 3:
% 0.12/0.41 P_sk1-{F}(V0,V1,V2), P_sk1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #29: unsound, references = 3, size of lhs = 3:
% 0.12/0.41 P_sk2-{F}(V0), P_sk2-{F}(V1), V0 == V1 | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #30: unsound, references = 3, size of lhs = 3:
% 0.12/0.41 P_sk9-{F}(V0), P_sk9-{F}(V1), V0 == V1 | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #31: unsound, references = 3, size of lhs = 3:
% 0.12/0.41 P_sk3-{F}(V0), P_sk3-{F}(V1), V0 == V1 | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #32: unsound, references = 3, size of lhs = 3:
% 0.12/0.41 P_sk10-{F}(V0), P_sk10-{F}(V1), V0 == V1 | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #33: unsound, references = 3, size of lhs = 3:
% 0.12/0.41 P_sk4-{F}(V0), P_sk4-{F}(V1), V0 == V1 | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #34: unsound, references = 3, size of lhs = 3:
% 0.12/0.41 P_sk5-{F}(V0), P_sk5-{F}(V1), V0 == V1 | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #35: unsound, references = 3, size of lhs = 3:
% 0.12/0.41 P_sk6-{F}(V0), P_sk6-{F}(V1), V0 == V1 | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #36: unsound, references = 3, size of lhs = 3:
% 0.12/0.41 P_sk7-{F}(V0), P_sk7-{F}(V1), V0 == V1 | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #37: unsound, references = 3, size of lhs = 3:
% 0.12/0.41 P_sk8-{F}(V0), P_sk8-{F}(V1), V0 == V1 | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 number of simplifiers = 13
% 0.12/0.41
% 0.12/0.41 Learnt:
% 0.12/0.41 #43: exists( #15, #41 ), references = 1, size of lhs = 23:
% 0.12/0.41 P_sk2-{F}(V0), P_sk9-{F}(V1), P_sk3-{F}(V2), P_sk10-{F}(V3), P_sk4-{F}(V4), P_sk5-{F}(V5), P_sk6-{F}(V6), P_sk7-{F}(V7), P_sk8-{F}(V8), organization-{F}(V9,V10), class-{F}(V9,V11,V10), size-{F}(V9,V12,V10), greater-{F}(V12,V13), inertia-{F}(V9,V14,V10), class-{F}(V15,V11,V16), size-{F}(V15,V13,V16), organization-{F}(V15,V16), reorganization_free-{F}(V15,V16,V16), survival_chance-{F}(V15,V5,V16), organization-{F}(V17,V18), reorganization_free-{F}(V17,V18,V18), survival_chance-{F}(V17,V6,V18), inertia-{F}(V17,V14,V18) | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #46: exists( #15, #44 ), references = 1, size of lhs = 20:
% 0.12/0.41 P_sk2-{F}(V0), P_sk9-{F}(V1), P_sk3-{F}(V2), P_sk10-{F}(V3), P_sk4-{F}(V4), P_sk5-{F}(V5), P_sk6-{F}(V6), P_sk7-{F}(V7), P_sk8-{F}(V8), greater-{F}(V9,V10), size-{F}(V11,V9,V12), organization-{F}(V11,V12), reorganization_free-{F}(V11,V12,V12), survival_chance-{F}(V11,V6,V12), class-{F}(V11,V13,V12), class-{F}(V14,V13,V15), size-{F}(V14,V10,V15), organization-{F}(V14,V15), reorganization_free-{F}(V14,V15,V15), survival_chance-{F}(V14,V5,V15) | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #66: mergings( V1 == V9, V9 == V17, V2 == V10, V10 == V18, V3 == V11, V11 == V19, V4 == V12, V12 == V20, V5 == V13, V13 == V21, V6 == V14, V14 == V22, V7 == V15, V15 == V23, V8 == V16, V16 == V24; #49 ), references = 1, size of lhs = 17:
% 0.12/0.41 P_sk2-{F}(V0), P_sk9-{F}(V1), P_sk3-{F}(V2), organization-{F}(V2,V3), reorganization_free-{F}(V2,V3,V3), P_sk10-{F}(V3), P_sk4-{F}(V4), P_sk5-{F}(V5), P_sk6-{F}(V6), survival_chance-{F}(V2,V6,V3), P_sk7-{F}(V7), class-{F}(V2,V8,V3), class-{F}(V9,V8,V10), size-{F}(V9,V7,V10), organization-{F}(V9,V10), reorganization_free-{F}(V9,V10,V10), survival_chance-{F}(V9,V5,V10) | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #90: mergings( V1 == V8, V8 == V15, V15 == V22, V2 == V9, V9 == V16, V16 == V23, V3 == V10, V10 == V17, V17 == V24, V4 == V11, V11 == V18, V18 == V25, V5 == V12, V12 == V19, V19 == V26, V6 == V13, V13 == V20, V20 == V27, V7 == V14, V14 == V21, V21 == V28; #68 ), references = 1, size of lhs = 15:
% 0.12/0.41 P_sk2-{F}(V0), organization-{F}(V0,V1), reorganization_free-{F}(V0,V1,V1), P_sk9-{F}(V1), P_sk3-{F}(V2), organization-{F}(V2,V3), reorganization_free-{F}(V2,V3,V3), P_sk10-{F}(V3), P_sk4-{F}(V4), P_sk5-{F}(V5), survival_chance-{F}(V0,V5,V1), P_sk6-{F}(V6), survival_chance-{F}(V2,V6,V3), class-{F}(V2,V7,V3), class-{F}(V0,V7,V1) | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #115: mergings( V1 == V5, V5 == V11, V11 == V17, V17 == V23, V2 == V6, V6 == V12, V12 == V18, V18 == V24, V7 == V13, V13 == V19, V19 == V25, V8 == V14, V14 == V20, V20 == V26, V3 == V9, V9 == V15, V15 == V21, V21 == V27, V4 == V10, V10 == V16, V16 == V22, V22 == V28; #92 ), references = 1, size of lhs = 13:
% 0.12/0.41 P_sk2-{F}(V0), organization-{F}(V0,V1), reorganization_free-{F}(V0,V1,V1), P_sk9-{F}(V1), P_sk3-{F}(V2), organization-{F}(V2,V3), reorganization_free-{F}(V2,V3,V3), P_sk10-{F}(V3), P_sk4-{F}(V4), P_sk5-{F}(V5), survival_chance-{F}(V0,V5,V1), class-{F}(V2,V6,V3), class-{F}(V0,V6,V1) | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #139: mergings( V4 == V7, V7 == V12, V12 == V17, V17 == V22, V5 == V8, V8 == V13, V13 == V18, V18 == V23, V1 == V9, V9 == V14, V14 == V19, V19 == V24, V2 == V10, V10 == V15, V15 == V20, V20 == V25, V3 == V6, V6 == V11, V11 == V16, V16 == V21, V21 == V26; #117 ), references = 1, size of lhs = 11:
% 0.12/0.41 P_sk2-{F}(V0), organization-{F}(V0,V1), reorganization_free-{F}(V0,V1,V1), P_sk9-{F}(V1), P_sk3-{F}(V2), organization-{F}(V2,V3), reorganization_free-{F}(V2,V3,V3), P_sk10-{F}(V3), P_sk4-{F}(V4), class-{F}(V2,V5,V3), class-{F}(V0,V5,V1) | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #163: mergings( V3 == V7, V7 == V9, V9 == V13, V13 == V17, V17 == V21, V4 == V8, V8 == V10, V10 == V14, V14 == V18, V18 == V22, V1 == V5, V5 == V11, V11 == V15, V15 == V19, V19 == V23, V2 == V6, V6 == V12, V12 == V16, V16 == V20, V20 == V24; #142 ), references = 1, size of lhs = 8:
% 0.12/0.41 P_sk2-{F}(V0), organization-{F}(V0,V1), reorganization_free-{F}(V0,V1,V1), P_sk9-{F}(V1), P_sk3-{F}(V2), organization-{F}(V2,V3), reorganization_free-{F}(V2,V3,V3), P_sk10-{F}(V3) | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #188: mergings( V1 == V4, V4 == V7, V7 == V10, V10 == V12, V12 == V15, V15 == V18, V18 == V21, V2 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V16, V16 == V19, V19 == V22, V3 == V6, V6 == V9, V9 == V14, V14 == V17, V17 == V20, V20 == V23; #167 ), references = 1, size of lhs = 4:
% 0.12/0.41 P_sk2-{F}(V0), organization-{F}(V0,V1), P_sk9-{F}(V1), P_sk3-{F}(V2) | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #204: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #189 ), references = 1, size of lhs = 3:
% 0.12/0.41 P_sk2-{F}(V0), organization-{F}(V0,V1), P_sk9-{F}(V1) | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #214: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #206 ), references = 1, size of lhs = 1:
% 0.12/0.41 P_sk2-{F}(V0) | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 #216: exists( #16, #206 ), references = 1, size of lhs = 0:
% 0.12/0.41 FALSE | FALSE
% 0.12/0.41 (used 0 times, uses = {})
% 0.12/0.41
% 0.12/0.41 number of learnt formulas = 11
% 0.12/0.41
% 0.12/0.41
% 0.12/0.41 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.41
% 0.12/0.41 randbase = 1
%------------------------------------------------------------------------------