%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT003-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n001.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 06:10:16 AM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT003-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.08/0.35 % Computer : n001.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 11:40:22 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.14/0.39 GeoParameters:
% 0.14/0.39
% 0.14/0.39 tptp_input = 1
% 0.14/0.39 tptp_output = 0
% 0.14/0.39 nonempty = 1
% 0.14/0.39 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.39 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.14/0.39
% 0.14/0.39
% 0.14/0.39 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.39 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.39
% 0.14/0.39 RuleSystem INPUT:
% 0.14/0.39
% 0.14/0.39 Initial Rules:
% 0.14/0.39 #0: input, references = 4, size of lhs = 1:
% 0.14/0.39 reorganization_free-{F}(V0,V1,V2) | reorganization_free-{T}(V0,V1,V1)
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #1: input, references = 4, size of lhs = 1:
% 0.14/0.39 reorganization_free-{F}(V0,V2,V1) | reorganization_free-{T}(V0,V1,V1)
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #2: input, references = 6, size of lhs = 2:
% 0.14/0.39 P_sk1-{F}(V1,V0,V2), organization-{F}(V0,V1) | inertia-{T}(V0,V2,V1)
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #3: input, references = 5, size of lhs = 9:
% 0.14/0.39 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)
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #4: input, references = 5, size of lhs = 6:
% 0.14/0.39 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)
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #5: input, references = 4, size of lhs = 2:
% 0.14/0.39 P_sk2-{F}(V0), P_sk5-{F}(V1) | organization-{T}(V0,V1)
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #6: input, references = 4, size of lhs = 3:
% 0.14/0.39 P_sk2-{F}(V0), P_sk5-{F}(V1), P_sk6-{F}(V2) | organization-{T}(V0,V2)
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #7: input, references = 4, size of lhs = 3:
% 0.14/0.39 P_sk2-{F}(V0), P_sk5-{F}(V1), P_sk6-{F}(V2) | reorganization_free-{T}(V0,V1,V2)
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #8: input, references = 5, size of lhs = 4:
% 0.14/0.39 P_sk2-{F}(V0), P_sk5-{F}(V1), P_sk6-{F}(V2), P_sk3-{F}(V3) | survival_chance-{T}(V0,V3,V1)
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #9: input, references = 5, size of lhs = 5:
% 0.14/0.39 P_sk2-{F}(V0), P_sk5-{F}(V1), P_sk6-{F}(V2), P_sk3-{F}(V3), P_sk4-{F}(V4) | survival_chance-{T}(V0,V4,V2)
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #10: input, references = 5, size of lhs = 5:
% 0.14/0.39 P_sk2-{F}(V0), P_sk5-{F}(V1), P_sk6-{F}(V2), P_sk3-{F}(V3), P_sk4-{F}(V4) | greater-{T}(V2,V1)
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #11: input, references = 5, size of lhs = 6:
% 0.14/0.39 P_sk2-{F}(V0), P_sk5-{F}(V1), P_sk6-{F}(V2), P_sk3-{F}(V3), P_sk4-{F}(V4), greater-{F}(V4,V3) | FALSE
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #12: input, references = 6, size of lhs = 2:
% 0.14/0.39 #-{F} V0, #-{F} V1 | EXISTS V2: P_sk1-{T}(V0,V1,V2)
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #13: input, references = 4, size of lhs = 0:
% 0.14/0.39 FALSE | EXISTS V0: P_sk2-{T}(V0)
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #14: input, references = 4, size of lhs = 0:
% 0.14/0.39 FALSE | EXISTS V0: P_sk5-{T}(V0)
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #15: input, references = 4, size of lhs = 0:
% 0.14/0.39 FALSE | EXISTS V0: P_sk6-{T}(V0)
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #16: input, references = 5, size of lhs = 0:
% 0.14/0.39 FALSE | EXISTS V0: P_sk3-{T}(V0)
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #17: input, references = 5, size of lhs = 0:
% 0.14/0.39 FALSE | EXISTS V0: P_sk4-{T}(V0)
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 number of initial rules = 18
% 0.14/0.39
% 0.14/0.39 Simplifiers:
% 0.14/0.39 #18: unsound, references = 3, size of lhs = 3:
% 0.14/0.39 reorganization_free-{F}(V0,V1,V2), reorganization_free-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #19: unsound, references = 3, size of lhs = 3:
% 0.14/0.39 organization-{F}(V0,V1), organization-{F}(V2,V3), V0 == V2 | FALSE
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #20: unsound, references = 3, size of lhs = 3:
% 0.14/0.39 inertia-{F}(V0,V1,V2), inertia-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #21: unsound, references = 3, size of lhs = 3:
% 0.14/0.39 inertia-{F}(V0,V1,V2), inertia-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #22: unsound, references = 3, size of lhs = 3:
% 0.14/0.39 survival_chance-{F}(V0,V1,V2), survival_chance-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #23: unsound, references = 3, size of lhs = 3:
% 0.14/0.39 P_sk1-{F}(V0,V1,V2), P_sk1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #24: unsound, references = 3, size of lhs = 3:
% 0.14/0.39 P_sk2-{F}(V0), P_sk2-{F}(V1), V0 == V1 | FALSE
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #25: unsound, references = 3, size of lhs = 3:
% 0.14/0.39 P_sk5-{F}(V0), P_sk5-{F}(V1), V0 == V1 | FALSE
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #26: unsound, references = 3, size of lhs = 3:
% 0.14/0.39 P_sk6-{F}(V0), P_sk6-{F}(V1), V0 == V1 | FALSE
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #27: unsound, references = 3, size of lhs = 3:
% 0.14/0.39 P_sk3-{F}(V0), P_sk3-{F}(V1), V0 == V1 | FALSE
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #28: unsound, references = 3, size of lhs = 3:
% 0.14/0.39 P_sk4-{F}(V0), P_sk4-{F}(V1), V0 == V1 | FALSE
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 number of simplifiers = 11
% 0.14/0.39
% 0.14/0.39 Learnt:
% 0.14/0.39 #33: exists( #12, #31 ), references = 1, size of lhs = 10:
% 0.14/0.39 P_sk2-{F}(V0), P_sk5-{F}(V1), P_sk6-{F}(V2), P_sk3-{F}(V3), P_sk4-{F}(V4), greater-{F}(V5,V5), survival_chance-{F}(V6,V4,V5), organization-{F}(V6,V5), reorganization_free-{F}(V6,V5,V5), survival_chance-{F}(V6,V3,V5) | FALSE
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #44: mergings( V1 == V4, V4 == V7, V2 == V5, V5 == V8, V8 == V9, V3 == V6, V6 == V10; #36 ), references = 1, size of lhs = 7:
% 0.14/0.39 P_sk2-{F}(V0), organization-{F}(V0,V1), reorganization_free-{F}(V0,V1,V1), P_sk5-{F}(V1), P_sk6-{F}(V1), P_sk3-{F}(V2), survival_chance-{F}(V0,V2,V1) | FALSE
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #53: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7, V1 == V7, V7 == V8; #46 ), references = 1, size of lhs = 5:
% 0.14/0.39 P_sk2-{F}(V0), organization-{F}(V0,V1), reorganization_free-{F}(V0,V1,V1), P_sk5-{F}(V1), P_sk6-{F}(V1) | FALSE
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #60: mergings( V1 == V10; #58 ), references = 1, size of lhs = 16:
% 0.14/0.39 P_sk2-{F}(V0), P_sk5-{F}(V1), P_sk6-{F}(V2), P_sk3-{F}(V3), P_sk4-{F}(V4), organization-{F}(V5,V6), reorganization_free-{F}(V5,V6,V7), greater-{F}(V7,V6), organization-{F}(V5,V7), reorganization_free-{F}(V5,V7,V7), survival_chance-{F}(V5,V4,V7), inertia-{F}(V5,V8,V6), organization-{F}(V5,V9), reorganization_free-{F}(V5,V9,V9), inertia-{F}(V5,V8,V9), survival_chance-{F}(V5,V3,V9) | FALSE
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #63: exists( #12, #61 ), references = 1, size of lhs = 13:
% 0.14/0.39 P_sk2-{F}(V0), P_sk5-{F}(V1), P_sk6-{F}(V2), P_sk3-{F}(V3), P_sk4-{F}(V4), organization-{F}(V5,V6), reorganization_free-{F}(V5,V6,V6), survival_chance-{F}(V5,V4,V6), greater-{F}(V6,V7), reorganization_free-{F}(V5,V7,V6), organization-{F}(V5,V7), reorganization_free-{F}(V5,V7,V7), survival_chance-{F}(V5,V3,V7) | FALSE
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #74: mergings( V1 == V4, V4 == V8, V2 == V5, V5 == V9, V6 == V10, V3 == V7, V7 == V11; #66 ), references = 1, size of lhs = 10:
% 0.14/0.39 P_sk2-{F}(V0), organization-{F}(V0,V1), reorganization_free-{F}(V0,V1,V1), P_sk5-{F}(V1), organization-{F}(V0,V2), reorganization_free-{F}(V0,V2,V2), reorganization_free-{F}(V0,V1,V2), P_sk6-{F}(V2), P_sk3-{F}(V3), survival_chance-{F}(V0,V3,V1) | FALSE
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #83: mergings( V2 == V4, V4 == V7, V3 == V5, V5 == V8, V1 == V6, V6 == V9; #76 ), references = 1, size of lhs = 8:
% 0.14/0.39 P_sk2-{F}(V0), organization-{F}(V0,V1), reorganization_free-{F}(V0,V1,V1), P_sk5-{F}(V1), organization-{F}(V0,V2), reorganization_free-{F}(V0,V2,V2), reorganization_free-{F}(V0,V1,V2), P_sk6-{F}(V2) | FALSE
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #94: mergings( V2 == V4, V4 == V6, V1 == V3, V3 == V5, V5 == V7; #88 ), references = 1, size of lhs = 3:
% 0.14/0.39 P_sk2-{F}(V0), organization-{F}(V0,V1), P_sk5-{F}(V1) | FALSE
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #99: mergings( V1 == V2, V2 == V3; #96 ), references = 1, size of lhs = 1:
% 0.14/0.39 P_sk2-{F}(V0) | FALSE
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 #101: exists( #13, #96 ), references = 1, size of lhs = 0:
% 0.14/0.39 FALSE | FALSE
% 0.14/0.39 (used 0 times, uses = {})
% 0.14/0.39
% 0.14/0.39 number of learnt formulas = 10
% 0.14/0.39
% 0.14/0.39
% 0.14/0.39 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.39
% 0.14/0.39 randbase = 1
%------------------------------------------------------------------------------