%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT041-2 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n003.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 06:10:26 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.39s
% Output : Refutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT041-2 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.37 % Computer : n003.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 7 13:04:24 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 GeoParameters:
% 0.11/0.39
% 0.11/0.39 tptp_input = 1
% 0.11/0.39 tptp_output = 0
% 0.11/0.39 nonempty = 1
% 0.11/0.39 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.39 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.11/0.39
% 0.11/0.39
% 0.11/0.39 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.39 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.39
% 0.11/0.39 RuleSystem INPUT:
% 0.11/0.39
% 0.11/0.39 Initial Rules:
% 0.11/0.39 #0: input, references = 5, size of lhs = 4:
% 0.11/0.39 P_low-{F}(V0), P_high-{F}(V1), number_of_routines-{F}(V2,V3,V0), number_of_routines-{F}(V2,V3,V1) | FALSE
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 #1: input, references = 4, size of lhs = 5:
% 0.11/0.39 P_low-{F}(V0), P_high-{F}(V1), efficient_producer-{F}(V2), organisation_at_time-{F}(V2,V3), founding_time-{F}(V2,V3) | has_elaborated_routines-{T}(V2,V3)
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 #2: input, references = 4, size of lhs = 5:
% 0.11/0.39 P_low-{F}(V0), P_high-{F}(V1), first_mover-{F}(V2), organisation_at_time-{F}(V2,V3), founding_time-{F}(V2,V3) | number_of_routines-{T}(V2,V3,V0)
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 #3: input, references = 4, size of lhs = 4:
% 0.11/0.39 P_low-{F}(V0), P_high-{F}(V1), P_sk1-{F}(V2), P_sk2-{F}(V3) | organisation_at_time-{T}(V2,V3)
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 #4: input, references = 4, size of lhs = 4:
% 0.11/0.39 P_low-{F}(V0), P_high-{F}(V1), P_sk1-{F}(V2), P_sk2-{F}(V3) | founding_time-{T}(V2,V3)
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 #5: input, references = 5, size of lhs = 4:
% 0.11/0.39 P_low-{F}(V0), P_high-{F}(V1), P_sk1-{F}(V2), P_sk2-{F}(V3) | number_of_routines-{T}(V2,V3,V1)
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 #6: input, references = 4, size of lhs = 5:
% 0.11/0.39 P_low-{F}(V0), P_high-{F}(V1), P_sk1-{F}(V2), P_sk2-{F}(V3), has_elaborated_routines-{F}(V2,V3) | FALSE
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 #7: input, references = 4, size of lhs = 5:
% 0.11/0.39 P_low-{F}(V0), P_high-{F}(V1), P_sk1-{F}(V2), P_sk2-{F}(V3), organisation_at_time-{F}(V4,V5) | first_mover-{T}(V4), efficient_producer-{T}(V4)
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 #8: input, references = 4, size of lhs = 0:
% 0.11/0.39 FALSE | EXISTS V0: P_low-{T}(V0)
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 #9: input, references = 4, size of lhs = 0:
% 0.11/0.39 FALSE | EXISTS V0: P_high-{T}(V0)
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 #10: input, references = 5, size of lhs = 0:
% 0.11/0.39 FALSE | EXISTS V0: P_sk1-{T}(V0)
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 #11: input, references = 5, size of lhs = 0:
% 0.11/0.39 FALSE | EXISTS V0: P_sk2-{T}(V0)
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 number of initial rules = 12
% 0.11/0.39
% 0.11/0.39 Simplifiers:
% 0.11/0.39 #12: unsound, references = 3, size of lhs = 3:
% 0.11/0.39 number_of_routines-{F}(V0,V1,V2), number_of_routines-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 #13: unsound, references = 3, size of lhs = 3:
% 0.11/0.39 number_of_routines-{F}(V0,V1,V2), number_of_routines-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 #14: unsound, references = 3, size of lhs = 3:
% 0.11/0.39 organisation_at_time-{F}(V0,V1), organisation_at_time-{F}(V2,V3), V0 == V2 | FALSE
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 #15: unsound, references = 3, size of lhs = 3:
% 0.11/0.39 organisation_at_time-{F}(V0,V1), organisation_at_time-{F}(V2,V3), V1 == V3 | FALSE
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 #16: unsound, references = 3, size of lhs = 3:
% 0.11/0.39 efficient_producer-{F}(V0), efficient_producer-{F}(V1), V0 == V1 | FALSE
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 #17: unsound, references = 3, size of lhs = 3:
% 0.11/0.39 founding_time-{F}(V0,V1), founding_time-{F}(V2,V3), V0 == V2 | FALSE
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 #18: unsound, references = 3, size of lhs = 3:
% 0.11/0.39 founding_time-{F}(V0,V1), founding_time-{F}(V2,V3), V1 == V3 | FALSE
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 #19: unsound, references = 3, size of lhs = 3:
% 0.11/0.39 has_elaborated_routines-{F}(V0,V1), has_elaborated_routines-{F}(V2,V3), V0 == V2 | FALSE
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 #20: unsound, references = 3, size of lhs = 3:
% 0.11/0.39 has_elaborated_routines-{F}(V0,V1), has_elaborated_routines-{F}(V2,V3), V1 == V3 | FALSE
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 #21: unsound, references = 3, size of lhs = 3:
% 0.11/0.39 first_mover-{F}(V0), first_mover-{F}(V1), V0 == V1 | FALSE
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 #22: unsound, references = 3, size of lhs = 3:
% 0.11/0.39 P_low-{F}(V0), P_low-{F}(V1), V0 == V1 | FALSE
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 #23: unsound, references = 3, size of lhs = 3:
% 0.11/0.39 P_high-{F}(V0), P_high-{F}(V1), V0 == V1 | FALSE
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 #24: unsound, references = 3, size of lhs = 3:
% 0.11/0.39 P_sk1-{F}(V0), P_sk1-{F}(V1), V0 == V1 | FALSE
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 #25: unsound, references = 3, size of lhs = 3:
% 0.11/0.39 P_sk2-{F}(V0), P_sk2-{F}(V1), V0 == V1 | FALSE
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 number of simplifiers = 14
% 0.11/0.39
% 0.11/0.39 Learnt:
% 0.11/0.39 #29: mergings( V1 == V3; #27 ), references = 1, size of lhs = 3:
% 0.11/0.39 P_sk1-{F}(V0), P_low-{F}(V1), P_high-{F}(V1) | FALSE
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 #32: mergings( V1 == V2; #30 ), references = 1, size of lhs = 2:
% 0.11/0.39 P_low-{F}(V0), P_high-{F}(V0) | FALSE
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 #39: mergings( V5 == V7, V0 == V8, V1 == V6, V6 == V9; #34 ), references = 1, size of lhs = 7:
% 0.11/0.39 P_sk1-{F}(V0), P_sk2-{F}(V1), P_low-{F}(V2), P_high-{F}(V3), organisation_at_time-{F}(V4,V5), founding_time-{F}(V4,V5), number_of_routines-{F}(V4,V5,V3) | efficient_producer-{T}(V4)
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 #59: mergings( V1 == V3, V3 == V5, V5 == V6, V6 == V10, V10 == V12, V12 == V15, V2 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V8 == V14; #45 ), references = 1, size of lhs = 3:
% 0.11/0.39 P_sk1-{F}(V0), P_low-{F}(V1), P_high-{F}(V2) | FALSE
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 #73: mergings( V1 == V3, V3 == V5, V5 == V6, V6 == V9, V9 == V11, V11 == V13, V2 == V4, V4 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14; #60 ), references = 1, size of lhs = 2:
% 0.11/0.39 P_low-{F}(V0), P_high-{F}(V1) | FALSE
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 #81: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #74 ), references = 1, size of lhs = 1:
% 0.11/0.39 P_low-{F}(V0) | FALSE
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 #83: exists( #8, #74 ), references = 1, size of lhs = 0:
% 0.11/0.39 FALSE | FALSE
% 0.11/0.39 (used 0 times, uses = {})
% 0.11/0.39
% 0.11/0.39 number of learnt formulas = 7
% 0.11/0.39
% 0.11/0.39
% 0.11/0.39 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.39
% 0.11/0.39 randbase = 1
%------------------------------------------------------------------------------