%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT032-2 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n013.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 06:10:23 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.40s
% Output : Refutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT032-2 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.36 % Computer : n013.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % 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 12:22:35 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.40 GeoParameters:
% 0.11/0.40
% 0.11/0.40 tptp_input = 1
% 0.11/0.40 tptp_output = 0
% 0.11/0.40 nonempty = 1
% 0.11/0.40 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.40 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.11/0.40
% 0.11/0.40
% 0.11/0.40 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.40 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.40
% 0.11/0.40 RuleSystem INPUT:
% 0.11/0.40
% 0.11/0.40 Initial Rules:
% 0.11/0.40 #0: input, references = 5, size of lhs = 5:
% 0.11/0.40 P_growth_rate-{F}(V1,V2,V3), P_growth_rate-{F}(V0,V2,V4), greater-{F}(V3,V4), environment-{F}(V5), subpopulations-{F}(V0,V1,V5,V2) | selection_favors-{T}(V1,V0,V2)
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #1: input, references = 5, size of lhs = 3:
% 0.11/0.40 P_sk1-{F}(V0,V1), environment-{F}(V0), stable-{F}(V0) | in_environment-{T}(V0,V1)
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #2: input, references = 5, size of lhs = 9:
% 0.11/0.40 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_sk1-{F}(V2,V3), environment-{F}(V2), stable-{F}(V2), P_growth_rate-{F}(V1,V4,V5), P_growth_rate-{F}(V0,V4,V6), subpopulations-{F}(V0,V1,V2,V4), greater_or_equal-{F}(V4,V3) | greater-{T}(V5,V6)
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #3: input, references = 5, size of lhs = 3:
% 0.11/0.40 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_sk2-{F}(V2) | environment-{T}(V2)
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #4: input, references = 5, size of lhs = 3:
% 0.11/0.40 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_sk2-{F}(V2) | stable-{T}(V2)
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #5: input, references = 5, size of lhs = 5:
% 0.11/0.40 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_sk2-{F}(V2), P_sk3-{F}(V3,V4), in_environment-{F}(V2,V3) | subpopulations-{T}(V0,V1,V2,V4)
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #6: input, references = 5, size of lhs = 5:
% 0.11/0.40 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_sk2-{F}(V2), P_sk3-{F}(V3,V4), in_environment-{F}(V2,V3) | greater_or_equal-{T}(V4,V3)
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #7: input, references = 5, size of lhs = 6:
% 0.11/0.40 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_sk2-{F}(V2), P_sk3-{F}(V3,V4), in_environment-{F}(V2,V3), selection_favors-{F}(V1,V0,V4) | FALSE
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #8: input, references = 6, size of lhs = 2:
% 0.11/0.40 #-{F} V0, #-{F} V1 | EXISTS V2: P_growth_rate-{T}(V0,V1,V2)
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #9: input, references = 5, size of lhs = 1:
% 0.11/0.40 #-{F} V0 | EXISTS V1: P_sk1-{T}(V0,V1)
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #10: input, references = 4, size of lhs = 0:
% 0.11/0.40 FALSE | EXISTS V0: P_first_movers-{T}(V0)
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #11: input, references = 4, size of lhs = 0:
% 0.11/0.40 FALSE | EXISTS V0: P_efficient_producers-{T}(V0)
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #12: input, references = 5, size of lhs = 0:
% 0.11/0.40 FALSE | EXISTS V0: P_sk2-{T}(V0)
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #13: input, references = 5, size of lhs = 1:
% 0.11/0.40 #-{F} V0 | EXISTS V1: P_sk3-{T}(V0,V1)
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 number of initial rules = 14
% 0.11/0.40
% 0.11/0.40 Simplifiers:
% 0.11/0.40 #14: unsound, references = 3, size of lhs = 3:
% 0.11/0.40 environment-{F}(V0), environment-{F}(V1), V0 == V1 | FALSE
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #15: unsound, references = 3, size of lhs = 3:
% 0.11/0.40 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #16: unsound, references = 3, size of lhs = 3:
% 0.11/0.40 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #17: unsound, references = 3, size of lhs = 3:
% 0.11/0.40 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #18: unsound, references = 3, size of lhs = 3:
% 0.11/0.40 selection_favors-{F}(V0,V1,V2), selection_favors-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #19: unsound, references = 3, size of lhs = 3:
% 0.11/0.40 selection_favors-{F}(V0,V1,V2), selection_favors-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #20: unsound, references = 3, size of lhs = 3:
% 0.11/0.40 stable-{F}(V0), stable-{F}(V1), V0 == V1 | FALSE
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #21: unsound, references = 3, size of lhs = 3:
% 0.11/0.40 in_environment-{F}(V0,V1), in_environment-{F}(V0,V3), V1 == V3 | FALSE
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #22: unsound, references = 3, size of lhs = 3:
% 0.11/0.40 in_environment-{F}(V0,V1), in_environment-{F}(V2,V3), V0 == V2 | FALSE
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #23: unsound, references = 3, size of lhs = 3:
% 0.11/0.40 greater_or_equal-{F}(V0,V1), greater_or_equal-{F}(V2,V1), V0 == V2 | FALSE
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #24: unsound, references = 3, size of lhs = 3:
% 0.11/0.40 P_growth_rate-{F}(V0,V1,V2), P_growth_rate-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #25: unsound, references = 3, size of lhs = 3:
% 0.11/0.40 P_sk1-{F}(V0,V1), P_sk1-{F}(V0,V3), V1 == V3 | FALSE
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #26: unsound, references = 3, size of lhs = 3:
% 0.11/0.40 P_first_movers-{F}(V0), P_first_movers-{F}(V1), V0 == V1 | FALSE
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #27: unsound, references = 3, size of lhs = 3:
% 0.11/0.40 P_efficient_producers-{F}(V0), P_efficient_producers-{F}(V1), V0 == V1 | FALSE
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #28: unsound, references = 3, size of lhs = 3:
% 0.11/0.40 P_sk2-{F}(V0), P_sk2-{F}(V1), V0 == V1 | FALSE
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #29: unsound, references = 3, size of lhs = 3:
% 0.11/0.40 P_sk3-{F}(V0,V1), P_sk3-{F}(V0,V3), V1 == V3 | FALSE
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 number of simplifiers = 16
% 0.11/0.40
% 0.11/0.40 Learnt:
% 0.11/0.40 #34: mergings( V3 == V5; #32 ), references = 2, size of lhs = 10:
% 0.11/0.40 stable-{F}(V0), environment-{F}(V0), P_sk1-{F}(V0,V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V2), subpopulations-{F}(V2,V2,V0,V3), greater_or_equal-{F}(V3,V1), P_sk2-{F}(V4), in_environment-{F}(V4,V5), P_sk3-{F}(V5,V3) | FALSE
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #45: mergings( V2 == V5, V5 == V7, V3 == V6, V4 == V6; #40 ), references = 1, size of lhs = 7:
% 0.11/0.40 stable-{F}(V0), environment-{F}(V0), P_sk2-{F}(V0), P_sk1-{F}(V0,V1), in_environment-{F}(V0,V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V2) | FALSE
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #50: mergings( V2 == V4, V3 == V4; #47 ), references = 1, size of lhs = 5:
% 0.11/0.40 stable-{F}(V0), environment-{F}(V0), P_sk2-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1) | FALSE
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #60: mergings( V1 == V3, V3 == V5, V5 == V7, V2 == V4, V4 == V6, V6 == V7; #53 ), references = 1, size of lhs = 2:
% 0.11/0.40 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0) | FALSE
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #66: mergings( V4 == V7, V3 == V8; #63 ), references = 2, size of lhs = 11:
% 0.11/0.40 stable-{F}(V0), environment-{F}(V0), P_sk1-{F}(V0,V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V3), subpopulations-{F}(V2,V3,V0,V4), greater_or_equal-{F}(V4,V1), P_growth_rate-{F}(V2,V4,V5), P_sk2-{F}(V6), in_environment-{F}(V6,V7), P_sk3-{F}(V7,V4) | FALSE
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #70: exists( #8, #66 ), references = 1, size of lhs = 10:
% 0.11/0.40 stable-{F}(V0), environment-{F}(V0), P_sk1-{F}(V0,V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V3), subpopulations-{F}(V2,V3,V0,V4), greater_or_equal-{F}(V4,V1), P_sk2-{F}(V5), in_environment-{F}(V5,V6), P_sk3-{F}(V6,V4) | FALSE
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #78: mergings( V2 == V5, V5 == V8, V3 == V6, V4 == V7; #73 ), references = 1, size of lhs = 7:
% 0.11/0.40 stable-{F}(V0), environment-{F}(V0), P_sk2-{F}(V0), P_sk1-{F}(V0,V1), in_environment-{F}(V0,V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V3) | FALSE
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #83: mergings( V2 == V4, V3 == V5; #80 ), references = 1, size of lhs = 5:
% 0.11/0.40 stable-{F}(V0), environment-{F}(V0), P_sk2-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2) | FALSE
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #93: mergings( V1 == V3, V3 == V5, V5 == V7, V2 == V4, V4 == V6, V6 == V8; #86 ), references = 1, size of lhs = 2:
% 0.11/0.40 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1) | FALSE
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #98: mergings( V1 == V2, V2 == V3, V3 == V4; #94 ), references = 1, size of lhs = 1:
% 0.11/0.40 P_first_movers-{F}(V0) | FALSE
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 #100: exists( #10, #94 ), references = 1, size of lhs = 0:
% 0.11/0.40 FALSE | FALSE
% 0.11/0.40 (used 0 times, uses = {})
% 0.11/0.40
% 0.11/0.40 number of learnt formulas = 11
% 0.11/0.40
% 0.11/0.40
% 0.11/0.40 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.40
% 0.11/0.40 randbase = 1
%------------------------------------------------------------------------------