%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT012-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.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 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT012-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.10/0.35 % Computer : n010.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 7 11:50:25 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.38 GeoParameters:
% 0.14/0.38
% 0.14/0.38 tptp_input = 1
% 0.14/0.38 tptp_output = 0
% 0.14/0.38 nonempty = 1
% 0.14/0.38 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38
% 0.14/0.38 RuleSystem INPUT:
% 0.14/0.38
% 0.14/0.38 Initial Rules:
% 0.14/0.38 #0: input, references = 5, size of lhs = 2:
% 0.14/0.38 P_sk1-{F}(V1,V0,V2), organization-{F}(V0,V1) | inertia-{T}(V0,V2,V1)
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #1: input, references = 4, size of lhs = 1:
% 0.14/0.38 greater-{F}(V1,V1) | FALSE
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #2: input, references = 4, size of lhs = 2:
% 0.14/0.38 greater-{F}(V0,V1), greater-{F}(V1,V0) | FALSE
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #3: input, references = 6, size of lhs = 2:
% 0.14/0.38 P_sk2-{F}(V1,V0,V2), organization-{F}(V0,V1) | class-{T}(V0,V2,V1)
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #4: input, references = 4, size of lhs = 6:
% 0.14/0.38 organization-{F}(V0,V1), organization-{F}(V0,V2), reorganization_free-{F}(V0,V2,V1), class-{F}(V0,V3,V1), class-{F}(V0,V4,V2), V4 == V3 | FALSE
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #5: input, references = 4, size of lhs = 9:
% 0.14/0.38 organization-{F}(V0,V1), organization-{F}(V3,V2), class-{F}(V3,V4,V2), class-{F}(V0,V4,V1), complexity-{F}(V0,V5,V1), complexity-{F}(V3,V6,V2), greater-{F}(V5,V6), inertia-{F}(V0,V7,V1), inertia-{F}(V3,V8,V2) | greater-{T}(V7,V8)
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #6: input, references = 4, size of lhs = 6:
% 0.14/0.38 greater-{F}(V1,V0), organization-{F}(V2,V0), organization-{F}(V2,V1), reorganization_free-{F}(V2,V0,V1), inertia-{F}(V2,V3,V1), inertia-{F}(V2,V4,V0) | greater-{T}(V3,V4)
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #7: input, references = 4, size of lhs = 2:
% 0.14/0.38 P_sk3-{F}(V0), P_sk6-{F}(V1) | organization-{T}(V0,V1)
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #8: input, references = 4, size of lhs = 3:
% 0.14/0.38 P_sk3-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V2) | organization-{T}(V0,V2)
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #9: input, references = 4, size of lhs = 3:
% 0.14/0.38 P_sk3-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V2) | reorganization_free-{T}(V0,V1,V2)
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #10: input, references = 4, size of lhs = 4:
% 0.14/0.38 P_sk3-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V2), P_sk4-{F}(V3) | complexity-{T}(V0,V3,V1)
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #11: input, references = 4, size of lhs = 5:
% 0.14/0.38 P_sk3-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V2), P_sk4-{F}(V3), P_sk5-{F}(V4) | complexity-{T}(V0,V4,V2)
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #12: input, references = 5, size of lhs = 5:
% 0.14/0.38 P_sk3-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V2), P_sk4-{F}(V3), P_sk5-{F}(V4) | greater-{T}(V2,V1)
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #13: input, references = 4, size of lhs = 5:
% 0.14/0.38 P_sk3-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V2), P_sk4-{F}(V3), P_sk5-{F}(V4) | greater-{T}(V3,V4)
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #14: input, references = 5, size of lhs = 2:
% 0.14/0.38 #-{F} V0, #-{F} V1 | EXISTS V2: P_sk1-{T}(V0,V1,V2)
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #15: input, references = 5, size of lhs = 2:
% 0.14/0.38 #-{F} V0, #-{F} V1 | EXISTS V2: P_sk2-{T}(V0,V1,V2)
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #16: input, references = 4, size of lhs = 0:
% 0.14/0.38 FALSE | EXISTS V0: P_sk3-{T}(V0)
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #17: input, references = 4, size of lhs = 0:
% 0.14/0.38 FALSE | EXISTS V0: P_sk6-{T}(V0)
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #18: input, references = 4, size of lhs = 0:
% 0.14/0.38 FALSE | EXISTS V0: P_sk7-{T}(V0)
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #19: input, references = 5, size of lhs = 0:
% 0.14/0.38 FALSE | EXISTS V0: P_sk4-{T}(V0)
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #20: input, references = 5, size of lhs = 0:
% 0.14/0.38 FALSE | EXISTS V0: P_sk5-{T}(V0)
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 number of initial rules = 21
% 0.14/0.38
% 0.14/0.38 Simplifiers:
% 0.14/0.38 #21: unsound, references = 3, size of lhs = 3:
% 0.14/0.38 organization-{F}(V0,V1), organization-{F}(V2,V3), V0 == V2 | FALSE
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #22: unsound, references = 3, size of lhs = 3:
% 0.14/0.38 inertia-{F}(V0,V1,V2), inertia-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #23: unsound, references = 3, size of lhs = 3:
% 0.14/0.38 inertia-{F}(V0,V1,V2), inertia-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #24: unsound, references = 3, size of lhs = 3:
% 0.14/0.38 class-{F}(V0,V1,V2), class-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #25: unsound, references = 3, size of lhs = 3:
% 0.14/0.38 class-{F}(V0,V1,V2), class-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #26: unsound, references = 3, size of lhs = 3:
% 0.14/0.38 reorganization_free-{F}(V0,V1,V2), reorganization_free-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #27: unsound, references = 3, size of lhs = 3:
% 0.14/0.38 reorganization_free-{F}(V0,V1,V2), reorganization_free-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #28: unsound, references = 3, size of lhs = 3:
% 0.14/0.38 reorganization_free-{F}(V0,V1,V2), reorganization_free-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #29: unsound, references = 3, size of lhs = 3:
% 0.14/0.38 complexity-{F}(V0,V1,V2), complexity-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #30: unsound, references = 3, size of lhs = 3:
% 0.14/0.38 P_sk1-{F}(V0,V1,V2), P_sk1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #31: unsound, references = 3, size of lhs = 3:
% 0.14/0.38 P_sk2-{F}(V0,V1,V2), P_sk2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #32: unsound, references = 3, size of lhs = 3:
% 0.14/0.38 P_sk3-{F}(V0), P_sk3-{F}(V1), V0 == V1 | FALSE
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #33: unsound, references = 3, size of lhs = 3:
% 0.14/0.38 P_sk6-{F}(V0), P_sk6-{F}(V1), V0 == V1 | FALSE
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #34: unsound, references = 3, size of lhs = 3:
% 0.14/0.38 P_sk7-{F}(V0), P_sk7-{F}(V1), V0 == V1 | FALSE
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #35: unsound, references = 3, size of lhs = 3:
% 0.14/0.38 P_sk4-{F}(V0), P_sk4-{F}(V1), V0 == V1 | FALSE
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #36: unsound, references = 3, size of lhs = 3:
% 0.14/0.38 P_sk5-{F}(V0), P_sk5-{F}(V1), V0 == V1 | FALSE
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 number of simplifiers = 16
% 0.14/0.38
% 0.14/0.38 Learnt:
% 0.14/0.38 #41: exists( #20, #37 ), references = 1, size of lhs = 4:
% 0.14/0.38 P_sk3-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V1), P_sk4-{F}(V2) | FALSE
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #44: exists( #19, #39 ), references = 1, size of lhs = 3:
% 0.14/0.38 P_sk3-{F}(V0), P_sk6-{F}(V1), P_sk7-{F}(V1) | FALSE
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #53: exists( #15, #51 ), references = 1, size of lhs = 4:
% 0.14/0.38 organization-{F}(V0,V1), organization-{F}(V0,V2), reorganization_free-{F}(V0,V2,V1), class-{F}(V0,V3,V2) | P_sk2-{T}(V1,V0,V3)
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #65: mergings( V1 == V8; #63 ), references = 1, size of lhs = 12:
% 0.14/0.38 organization-{F}(V0,V1), reorganization_free-{F}(V0,V1,V2), greater-{F}(V2,V1), organization-{F}(V0,V2), inertia-{F}(V0,V3,V1), class-{F}(V0,V4,V2), organization-{F}(V0,V5), inertia-{F}(V0,V3,V5), class-{F}(V0,V4,V5), complexity-{F}(V0,V6,V5), greater-{F}(V6,V7), complexity-{F}(V0,V7,V2) | FALSE
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #71: mergings( V4 == V0; #69 ), references = 1, size of lhs = 8:
% 0.14/0.38 organization-{F}(V0,V1), greater-{F}(V1,V2), organization-{F}(V0,V2), reorganization_free-{F}(V0,V2,V1), inertia-{F}(V0,V3,V2), complexity-{F}(V0,V4,V2), greater-{F}(V4,V5), complexity-{F}(V0,V5,V1) | FALSE
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #74: exists( #14, #72 ), references = 1, size of lhs = 7:
% 0.14/0.38 organization-{F}(V0,V1), greater-{F}(V1,V2), organization-{F}(V0,V2), reorganization_free-{F}(V0,V2,V1), complexity-{F}(V0,V3,V2), greater-{F}(V3,V4), complexity-{F}(V0,V4,V1) | FALSE
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #86: mergings( V1 == V4, V4 == V8, V2 == V5, V5 == V9, V6 == V10, V3 == V7, V7 == V11; #78 ), references = 1, size of lhs = 8:
% 0.14/0.38 P_sk3-{F}(V0), organization-{F}(V0,V1), P_sk6-{F}(V1), organization-{F}(V0,V2), reorganization_free-{F}(V0,V1,V2), P_sk7-{F}(V2), P_sk4-{F}(V3), complexity-{F}(V0,V3,V1) | FALSE
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #95: mergings( V2 == V4, V4 == V7, V3 == V5, V5 == V8, V1 == V6, V6 == V9; #88 ), references = 1, size of lhs = 6:
% 0.14/0.38 P_sk3-{F}(V0), organization-{F}(V0,V1), P_sk6-{F}(V1), organization-{F}(V0,V2), reorganization_free-{F}(V0,V1,V2), P_sk7-{F}(V2) | FALSE
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #104: mergings( V2 == V4, V4 == V6, V1 == V3, V3 == V5, V5 == V7; #98 ), references = 1, size of lhs = 3:
% 0.14/0.38 P_sk3-{F}(V0), organization-{F}(V0,V1), P_sk6-{F}(V1) | FALSE
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #109: mergings( V1 == V2, V2 == V3; #106 ), references = 1, size of lhs = 1:
% 0.14/0.38 P_sk3-{F}(V0) | FALSE
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 #111: exists( #16, #106 ), references = 1, size of lhs = 0:
% 0.14/0.38 FALSE | FALSE
% 0.14/0.38 (used 0 times, uses = {})
% 0.14/0.38
% 0.14/0.38 number of learnt formulas = 11
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38
% 0.14/0.38 randbase = 1
%------------------------------------------------------------------------------