%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT021-1 : 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 06:10:20 AM UTC 2026
% Result : Unsatisfiable 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT021-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.37 % Computer : n001.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 12:08:07 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.21/0.49 GeoParameters:
% 0.21/0.49
% 0.21/0.49 tptp_input = 1
% 0.21/0.49 tptp_output = 0
% 0.21/0.49 nonempty = 1
% 0.21/0.49 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.21/0.49
% 0.21/0.49
% 0.21/0.49 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49
% 0.21/0.49 RuleSystem INPUT:
% 0.21/0.49
% 0.21/0.49 Initial Rules:
% 0.21/0.49 #0: input, references = 5, size of lhs = 4:
% 0.21/0.49 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), environment-{F}(V2), subpopulations-{F}(V0,V1,V2,V3) | in_environment-{T}(V2,V3)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #1: input, references = 5, size of lhs = 6:
% 0.21/0.49 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), P_number_of_organizations-{F}(V3,V4,V5), subpopulations-{F}(V0,V1,V3,V4) | greater-{T}(V5,V2)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #2: input, references = 4, size of lhs = 5:
% 0.21/0.49 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), increases-{F}(V3), decreases-{F}(V3) | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #3: input, references = 3, size of lhs = 5:
% 0.21/0.49 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), greater_or_equal-{F}(V3,V4), V3 == V4 | greater-{T}(V3,V4)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #4: input, references = 5, size of lhs = 10:
% 0.21/0.49 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_equilibrium-{F}(V3,V4), environment-{F}(V3), P_number_of_organizations-{F}(V3,V5,V6), P_resources-{F}(V3,V5,V7), in_environment-{F}(V3,V5), greater-{F}(V6,V2), greater-{F}(V4,V5) | decreases-{T}(V7)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #5: input, references = 5, size of lhs = 9:
% 0.21/0.49 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_equilibrium-{F}(V3,V4), environment-{F}(V3), P_number_of_organizations-{F}(V3,V5,V6), P_resources-{F}(V3,V5,V7), in_environment-{F}(V3,V5), greater-{F}(V6,V2) | greater-{T}(V4,V5), constant-{T}(V7)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #6: input, references = 4, size of lhs = 10:
% 0.21/0.49 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_disbanding_rate-{F}(V0,V3,V4), P_disbanding_rate-{F}(V1,V3,V5), P_difference-{F}(V4,V5,V6), P_resources-{F}(V7,V3,V8), environment-{F}(V7), subpopulations-{F}(V0,V1,V7,V3), decreases-{F}(V8) | increases-{T}(V6)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #7: input, references = 4, size of lhs = 11:
% 0.21/0.49 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_disbanding_rate-{F}(V0,V3,V4), P_disbanding_rate-{F}(V1,V3,V5), P_difference-{F}(V4,V5,V6), decreases-{F}(V6), P_resources-{F}(V7,V3,V8), environment-{F}(V7), subpopulations-{F}(V0,V1,V7,V3), constant-{F}(V8) | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #8: input, references = 5, size of lhs = 4:
% 0.21/0.49 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3) | environment-{T}(V3)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #9: input, references = 5, size of lhs = 5:
% 0.21/0.49 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4) | subpopulations-{T}(V0,V1,V3,V4)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #10: input, references = 5, size of lhs = 8:
% 0.21/0.49 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_disbanding_rate-{F}(V0,V4,V5), P_disbanding_rate-{F}(V1,V4,V6), P_difference-{F}(V5,V6,V7) | decreases-{T}(V7)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #11: input, references = 4, size of lhs = 0:
% 0.21/0.49 FALSE | EXISTS V0: P_first_movers-{T}(V0)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #12: input, references = 4, size of lhs = 0:
% 0.21/0.49 FALSE | EXISTS V0: P_efficient_producers-{T}(V0)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #13: input, references = 5, size of lhs = 2:
% 0.21/0.49 #-{F} V0, #-{F} V1 | EXISTS V2: P_number_of_organizations-{T}(V0,V1,V2)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #14: input, references = 5, size of lhs = 0:
% 0.21/0.49 FALSE | EXISTS V0: P_zero-{T}(V0)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #15: input, references = 5, size of lhs = 1:
% 0.21/0.49 #-{F} V0 | EXISTS V1: P_equilibrium-{T}(V0,V1)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #16: input, references = 5, size of lhs = 2:
% 0.21/0.49 #-{F} V0, #-{F} V1 | EXISTS V2: P_resources-{T}(V0,V1,V2)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #17: input, references = 5, size of lhs = 2:
% 0.21/0.49 #-{F} V0, #-{F} V1 | EXISTS V2: P_difference-{T}(V0,V1,V2)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #18: input, references = 7, size of lhs = 2:
% 0.21/0.49 #-{F} V0, #-{F} V1 | EXISTS V2: P_disbanding_rate-{T}(V0,V1,V2)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #19: input, references = 5, size of lhs = 0:
% 0.21/0.49 FALSE | EXISTS V0: P_sk1-{T}(V0)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #20: input, references = 5, size of lhs = 0:
% 0.21/0.49 FALSE | EXISTS V0: P_sk2-{T}(V0)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 number of initial rules = 21
% 0.21/0.49
% 0.21/0.49 Simplifiers:
% 0.21/0.49 #21: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 environment-{F}(V0), environment-{F}(V1), V0 == V1 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #22: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #23: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #24: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #25: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #26: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 in_environment-{F}(V0,V1), in_environment-{F}(V2,V3), V0 == V2 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #27: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 in_environment-{F}(V0,V1), in_environment-{F}(V2,V3), V1 == V3 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #28: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 P_first_movers-{F}(V0), P_first_movers-{F}(V1), V0 == V1 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #29: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 P_efficient_producers-{F}(V0), P_efficient_producers-{F}(V1), V0 == V1 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #30: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 P_number_of_organizations-{F}(V0,V1,V2), P_number_of_organizations-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #31: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #32: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 P_equilibrium-{F}(V0,V1), P_equilibrium-{F}(V0,V3), V1 == V3 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #33: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 P_resources-{F}(V0,V1,V2), P_resources-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #34: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #35: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 P_disbanding_rate-{F}(V0,V1,V2), P_disbanding_rate-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #36: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 P_sk1-{F}(V0), P_sk1-{F}(V1), V0 == V1 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #37: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 P_sk2-{F}(V0), P_sk2-{F}(V1), V0 == V1 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 number of simplifiers = 17
% 0.21/0.49
% 0.21/0.49 Learnt:
% 0.21/0.49 #49: mergings( V3 == V8, V8 == V14, V4 == V9, V9 == V15, V5 == V10, V10 == V16; #42 ), references = 2, size of lhs = 13:
% 0.21/0.49 P_sk1-{F}(V0), P_sk2-{F}(V1), environment-{F}(V2), decreases-{F}(V3), P_first_movers-{F}(V4), P_disbanding_rate-{F}(V4,V1,V5), P_efficient_producers-{F}(V6), P_disbanding_rate-{F}(V6,V1,V7), subpopulations-{F}(V4,V6,V2,V8), P_disbanding_rate-{F}(V4,V8,V5), P_disbanding_rate-{F}(V6,V8,V7), P_resources-{F}(V2,V8,V3), P_zero-{F}(V9) | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #55: mergings( V0 == V8, V8 == V9, V3 == V5, V5 == V10; #50 ), references = 1, size of lhs = 9:
% 0.21/0.49 P_sk1-{F}(V0), P_sk2-{F}(V1), environment-{F}(V2), P_resources-{F}(V2,V1,V3), decreases-{F}(V3), P_first_movers-{F}(V4), subpopulations-{F}(V4,V4,V2,V1), P_efficient_producers-{F}(V4), P_zero-{F}(V5) | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #72: mergings( V3 == V11, V11 == V19, V0 == V8, V8 == V17, V17 == V20, V1 == V9, V9 == V20, V20 == V21, V6 == V12, V2 == V10, V10 == V14, V14 == V18, V18 == V22, V7 == V13; #57 ), references = 1, size of lhs = 13:
% 0.21/0.49 P_sk1-{F}(V0), P_sk2-{F}(V1), environment-{F}(V2), P_equilibrium-{F}(V2,V3), in_environment-{F}(V2,V4), P_number_of_organizations-{F}(V2,V4,V5), greater-{F}(V5,V6), P_zero-{F}(V6), P_resources-{F}(V2,V4,V7), P_resources-{F}(V2,V1,V7), P_first_movers-{F}(V8), subpopulations-{F}(V8,V8,V2,V1), P_efficient_producers-{F}(V8) | constant-{T}(V7)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #79: mergings( V3 == V8, V4 == V9, V5 == V10; #75 ), references = 1, size of lhs = 13:
% 0.21/0.49 P_sk1-{F}(V0), P_sk2-{F}(V1), P_first_movers-{F}(V2), P_disbanding_rate-{F}(V2,V1,V3), P_efficient_producers-{F}(V4), P_disbanding_rate-{F}(V4,V1,V5), P_zero-{F}(V6), environment-{F}(V7), subpopulations-{F}(V2,V4,V7,V8), P_disbanding_rate-{F}(V2,V8,V3), P_disbanding_rate-{F}(V4,V8,V5), P_resources-{F}(V7,V8,V9), constant-{F}(V9) | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #82: mergings( V3 == V5; #80 ), references = 1, size of lhs = 9:
% 0.21/0.49 P_sk1-{F}(V0), P_sk2-{F}(V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V2), P_zero-{F}(V3), environment-{F}(V4), subpopulations-{F}(V2,V2,V4,V1), P_resources-{F}(V4,V1,V5), constant-{F}(V5) | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #100: mergings( V14 == V21, V3 == V8, V8 == V16, V16 == V21, V4 == V9, V9 == V17, V17 == V21, V7 == V11, V5 == V10, V10 == V12, V12 == V15, V15 == V18, V18 == V19, V19 == V22, V13 == V20; #84 ), references = 1, size of lhs = 11:
% 0.21/0.49 P_sk1-{F}(V0), P_sk2-{F}(V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V2), P_zero-{F}(V3), environment-{F}(V4), in_environment-{F}(V4,V1), subpopulations-{F}(V2,V2,V4,V1), P_equilibrium-{F}(V4,V5), P_number_of_organizations-{F}(V4,V1,V6), greater-{F}(V6,V3) | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #118: mergings( V3 == V12, V12 == V19, V4 == V19, V5 == V7, V7 == V14, V14 == V19, V6 == V8, V8 == V15, V15 == V19, V9 == V10, V10 == V13, V13 == V16, V16 == V17, V17 == V20, V11 == V18; #102 ), references = 1, size of lhs = 9:
% 0.21/0.49 P_sk1-{F}(V0), P_sk2-{F}(V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V2), P_zero-{F}(V3), environment-{F}(V4), in_environment-{F}(V4,V1), subpopulations-{F}(V2,V2,V4,V1), P_equilibrium-{F}(V4,V5) | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #135: mergings( V2 == V11, V11 == V19, V3 == V19, V4 == V6, V6 == V13, V13 == V19, V5 == V7, V7 == V14, V14 == V19, V8 == V9, V9 == V12, V12 == V15, V15 == V16, V16 == V20, V10 == V17; #119 ), references = 1, size of lhs = 8:
% 0.21/0.49 P_sk1-{F}(V0), P_sk2-{F}(V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V2), P_zero-{F}(V3), environment-{F}(V4), in_environment-{F}(V4,V1), subpopulations-{F}(V2,V2,V4,V1) | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #153: mergings( V3 == V5, V5 == V11, V11 == V16, V4 == V6, V6 == V12, V12 == V16, V1 == V7, V7 == V8, V8 == V10, V10 == V13, V13 == V14, V14 == V17, V2 == V9, V9 == V15; #138 ), references = 1, size of lhs = 5:
% 0.21/0.49 environment-{F}(V0), P_sk1-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), P_zero-{F}(V2) | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #171: mergings( V1 == V5, V5 == V7, V7 == V12, V12 == V16, V2 == V6, V6 == V8, V8 == V13, V13 == V16, V3 == V4, V4 == V9, V9 == V10, V10 == V11, V11 == V14, V14 == V15, V15 == V17; #155 ), references = 1, size of lhs = 3:
% 0.21/0.49 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), P_zero-{F}(V1) | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #181: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V2 == V4, V4 == V6, V6 == V8, V8 == V9; #172 ), references = 1, size of lhs = 2:
% 0.21/0.49 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0) | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #187: mergings( V3 == V15, V0 == V10, V1 == V12, V2 == V14; #182 ), references = 1, size of lhs = 17:
% 0.21/0.49 P_sk1-{F}(V0), P_sk2-{F}(V1), P_first_movers-{F}(V2), P_disbanding_rate-{F}(V2,V1,V3), P_efficient_producers-{F}(V4), P_disbanding_rate-{F}(V4,V1,V5), P_zero-{F}(V6), environment-{F}(V7), P_equilibrium-{F}(V7,V8), in_environment-{F}(V7,V9), P_number_of_organizations-{F}(V7,V9,V10), greater-{F}(V10,V6), P_resources-{F}(V7,V9,V11), subpopulations-{F}(V2,V4,V7,V12), P_disbanding_rate-{F}(V2,V12,V3), P_disbanding_rate-{F}(V4,V12,V5), P_resources-{F}(V7,V12,V11) | greater-{T}(V8,V9)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #206: mergings( V6 == V15, V15 == V19, V19 == V23, V12 == V24, V3 == V16, V16 == V24, V4 == V17, V17 == V0, V9 == V20, V5 == V14, V14 == V18, V18 == V26, V10 == V21, V13 == V25, V11 == V22; #190 ), references = 1, size of lhs = 14:
% 0.21/0.49 P_sk1-{F}(V0), P_sk2-{F}(V1), environment-{F}(V2), P_equilibrium-{F}(V2,V3), in_environment-{F}(V2,V4), P_number_of_organizations-{F}(V2,V4,V5), greater-{F}(V5,V6), P_zero-{F}(V6), P_resources-{F}(V2,V4,V7), P_resources-{F}(V2,V1,V7), P_first_movers-{F}(V8), P_efficient_producers-{F}(V9), subpopulations-{F}(V8,V9,V2,V1), P_disbanding_rate-{F}(V8,V1,V10) | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #221: mergings( V6 == V13, V13 == V17, V17 == V21, V3 == V14, V14 == V0, V4 == V15, V15 == V22, V9 == V18, V5 == V12, V12 == V16, V16 == V23, V10 == V19, V11 == V20; #207 ), references = 1, size of lhs = 13:
% 0.21/0.49 P_sk1-{F}(V0), P_sk2-{F}(V1), environment-{F}(V2), P_equilibrium-{F}(V2,V3), in_environment-{F}(V2,V4), P_number_of_organizations-{F}(V2,V4,V5), greater-{F}(V5,V6), P_zero-{F}(V6), P_resources-{F}(V2,V4,V7), P_resources-{F}(V2,V1,V7), P_first_movers-{F}(V8), P_efficient_producers-{F}(V9), subpopulations-{F}(V8,V9,V2,V1) | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #232: mergings( V3 == V10, V10 == V15, V4 == V11, V11 == V16, V7 == V13, V5 == V9, V9 == V12, V12 == V17, V8 == V14; #222 ), references = 1, size of lhs = 11:
% 0.21/0.49 P_sk1-{F}(V0), P_sk2-{F}(V1), environment-{F}(V2), in_environment-{F}(V2,V1), P_equilibrium-{F}(V2,V3), P_number_of_organizations-{F}(V2,V1,V4), greater-{F}(V4,V5), P_zero-{F}(V5), P_first_movers-{F}(V6), P_efficient_producers-{F}(V7), subpopulations-{F}(V6,V7,V2,V1) | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #244: mergings( V3 == V14, V4 == V15, V5 == V9, V9 == V14, V6 == V10, V10 == V15, V8 == V11, V11 == V16, V7 == V12; #234 ), references = 1, size of lhs = 9:
% 0.21/0.49 P_sk1-{F}(V0), P_sk2-{F}(V1), environment-{F}(V2), in_environment-{F}(V2,V1), P_equilibrium-{F}(V2,V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V5), subpopulations-{F}(V4,V5,V2,V1), P_zero-{F}(V6) | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #255: mergings( V2 == V13, V3 == V14, V4 == V8, V8 == V13, V5 == V9, V9 == V14, V7 == V10, V10 == V15, V6 == V11; #245 ), references = 1, size of lhs = 8:
% 0.21/0.49 P_sk1-{F}(V0), P_sk2-{F}(V1), environment-{F}(V2), in_environment-{F}(V2,V1), P_first_movers-{F}(V3), P_efficient_producers-{F}(V4), subpopulations-{F}(V3,V4,V2,V1), P_zero-{F}(V5) | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #268: mergings( V3 == V7, V7 == V11, V4 == V8, V8 == V12, V1 == V6, V6 == V9, V9 == V13, V2 == V5, V5 == V10; #258 ), references = 1, size of lhs = 5:
% 0.21/0.49 environment-{F}(V0), P_sk1-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), P_zero-{F}(V3) | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #281: mergings( V1 == V5, V5 == V8, V8 == V11, V2 == V6, V6 == V9, V9 == V12, V3 == V4, V4 == V7, V7 == V10, V10 == V13; #270 ), references = 1, size of lhs = 3:
% 0.21/0.49 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2) | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #289: mergings( V1 == V3, V3 == V5, V5 == V7, V2 == V4, V4 == V6, V6 == V8; #282 ), references = 1, size of lhs = 2:
% 0.21/0.49 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1) | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #294: mergings( V1 == V2, V2 == V3, V3 == V4; #290 ), references = 1, size of lhs = 1:
% 0.21/0.49 P_first_movers-{F}(V0) | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #296: exists( #11, #290 ), references = 1, size of lhs = 0:
% 0.21/0.49 FALSE | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 number of learnt formulas = 22
% 0.21/0.49
% 0.21/0.49
% 0.21/0.49 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49
% 0.21/0.49 randbase = 1
%------------------------------------------------------------------------------