%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT023-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 06:10:21 AM UTC 2026
% Result : Unsatisfiable 0.23s 0.51s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT023-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.37 % Computer : n029.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 12:08:56 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.23/0.51 GeoParameters:
% 0.23/0.51
% 0.23/0.51 tptp_input = 1
% 0.23/0.51 tptp_output = 0
% 0.23/0.51 nonempty = 1
% 0.23/0.51 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.51 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.23/0.51
% 0.23/0.51
% 0.23/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.51 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.51
% 0.23/0.51 RuleSystem INPUT:
% 0.23/0.51
% 0.23/0.51 Initial Rules:
% 0.23/0.51 #0: input, references = 5, size of lhs = 9:
% 0.23/0.51 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_growth_rate-{F}(V0,V2,V3), P_growth_rate-{F}(V1,V2,V4), P_sk1-{F}(V2,V5,V6), P_critical_point-{F}(V5,V7), environment-{F}(V5), in_environment-{F}(V5,V2), V2 == V7 | greater-{T}(V3,V4), subpopulations-{T}(V1,V0,V5,V6)
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #1: input, references = 4, size of lhs = 9:
% 0.23/0.51 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_growth_rate-{F}(V0,V2,V3), P_growth_rate-{F}(V1,V2,V4), P_sk1-{F}(V2,V5,V6), P_critical_point-{F}(V5,V7), environment-{F}(V5), in_environment-{F}(V5,V2), V2 == V7 | greater-{T}(V3,V4), greater-{T}(V6,V2)
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #2: input, references = 4, size of lhs = 12:
% 0.23/0.51 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_growth_rate-{F}(V0,V2,V3), P_growth_rate-{F}(V1,V2,V4), P_sk1-{F}(V2,V5,V6), P_growth_rate-{F}(V0,V6,V7), P_growth_rate-{F}(V1,V6,V8), P_critical_point-{F}(V5,V9), environment-{F}(V5), in_environment-{F}(V5,V2), greater-{F}(V7,V8), V2 == V9 | greater-{T}(V3,V4)
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #3: input, references = 9, size of lhs = 5:
% 0.23/0.51 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_sk2-{F}(V2,V3), environment-{F}(V2), stable-{F}(V2) | in_environment-{T}(V2,V3)
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #4: input, references = 8, size of lhs = 8:
% 0.23/0.51 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_sk2-{F}(V2,V3), P_growth_rate-{F}(V0,V3,V4), P_growth_rate-{F}(V1,V3,V5), environment-{F}(V2), stable-{F}(V2), greater-{F}(V4,V5) | FALSE
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #5: input, references = 5, size of lhs = 9:
% 0.23/0.51 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_sk2-{F}(V2,V3), environment-{F}(V2), stable-{F}(V2), P_growth_rate-{F}(V0,V4,V5), P_growth_rate-{F}(V1,V4,V6), subpopulations-{F}(V1,V0,V2,V4), greater-{F}(V4,V3) | greater-{T}(V5,V6)
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #6: input, references = 5, size of lhs = 3:
% 0.23/0.51 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_sk3-{F}(V2) | environment-{T}(V2)
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #7: input, references = 5, size of lhs = 3:
% 0.23/0.51 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_sk3-{F}(V2) | stable-{T}(V2)
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #8: input, references = 7, size of lhs = 5:
% 0.23/0.51 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_sk3-{F}(V2), P_critical_point-{F}(V2,V3), in_environment-{F}(V2,V3) | FALSE
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #9: input, references = 10, size of lhs = 2:
% 0.23/0.51 #-{F} V0, #-{F} V1 | EXISTS V2: P_growth_rate-{T}(V0,V1,V2)
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #10: input, references = 4, size of lhs = 0:
% 0.23/0.51 FALSE | EXISTS V0: P_efficient_producers-{T}(V0)
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #11: input, references = 4, size of lhs = 0:
% 0.23/0.51 FALSE | EXISTS V0: P_first_movers-{T}(V0)
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #12: input, references = 5, size of lhs = 2:
% 0.23/0.51 #-{F} V0, #-{F} V1 | EXISTS V2: P_sk1-{T}(V0,V1,V2)
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #13: input, references = 5, size of lhs = 1:
% 0.23/0.51 #-{F} V0 | EXISTS V1: P_critical_point-{T}(V0,V1)
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #14: input, references = 5, size of lhs = 1:
% 0.23/0.51 #-{F} V0 | EXISTS V1: P_sk2-{T}(V0,V1)
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #15: input, references = 5, size of lhs = 0:
% 0.23/0.51 FALSE | EXISTS V0: P_sk3-{T}(V0)
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 number of initial rules = 16
% 0.23/0.51
% 0.23/0.51 Simplifiers:
% 0.23/0.51 #16: unsound, references = 3, size of lhs = 3:
% 0.23/0.51 environment-{F}(V0), environment-{F}(V1), V0 == V1 | FALSE
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #17: unsound, references = 3, size of lhs = 3:
% 0.23/0.51 in_environment-{F}(V0,V1), in_environment-{F}(V0,V3), V1 == V3 | FALSE
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #18: unsound, references = 3, size of lhs = 3:
% 0.23/0.51 in_environment-{F}(V0,V1), in_environment-{F}(V2,V3), V0 == V2 | FALSE
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #19: unsound, references = 3, size of lhs = 3:
% 0.23/0.51 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #20: unsound, references = 3, size of lhs = 3:
% 0.23/0.51 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #21: unsound, references = 3, size of lhs = 3:
% 0.23/0.51 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #22: unsound, references = 3, size of lhs = 3:
% 0.23/0.51 stable-{F}(V0), stable-{F}(V1), V0 == V1 | FALSE
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #23: unsound, references = 3, size of lhs = 3:
% 0.23/0.51 P_growth_rate-{F}(V0,V1,V2), P_growth_rate-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #24: unsound, references = 3, size of lhs = 3:
% 0.23/0.51 P_efficient_producers-{F}(V0), P_efficient_producers-{F}(V1), V0 == V1 | FALSE
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #25: unsound, references = 3, size of lhs = 3:
% 0.23/0.51 P_first_movers-{F}(V0), P_first_movers-{F}(V1), V0 == V1 | FALSE
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #26: unsound, references = 3, size of lhs = 3:
% 0.23/0.51 P_sk1-{F}(V0,V1,V2), P_sk1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #27: unsound, references = 3, size of lhs = 3:
% 0.23/0.51 P_critical_point-{F}(V0,V1), P_critical_point-{F}(V0,V3), V1 == V3 | FALSE
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #28: unsound, references = 3, size of lhs = 3:
% 0.23/0.51 P_sk2-{F}(V0,V1), P_sk2-{F}(V0,V3), V1 == V3 | FALSE
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #29: unsound, references = 3, size of lhs = 3:
% 0.23/0.51 P_sk3-{F}(V0), P_sk3-{F}(V1), V0 == V1 | FALSE
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 number of simplifiers = 14
% 0.23/0.51
% 0.23/0.51 Learnt:
% 0.23/0.51 #35: mergings( V5 == V10, V0 == V8, V1 == V9; #31 ), references = 4, size of lhs = 13:
% 0.23/0.51 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), environment-{F}(V2), stable-{F}(V2), P_critical_point-{F}(V2,V3), in_environment-{F}(V2,V4), V4 == V3, P_growth_rate-{F}(V0,V4,V5), P_growth_rate-{F}(V1,V4,V6), P_sk1-{F}(V4,V2,V7), P_sk2-{F}(V2,V8), P_growth_rate-{F}(V0,V8,V5), P_growth_rate-{F}(V1,V8,V6) | greater-{T}(V7,V4)
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #42: mergings( V5 == V13, V0 == V11, V1 == V12, V8 == V14; #37 ), references = 2, size of lhs = 16:
% 0.23/0.51 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), environment-{F}(V2), stable-{F}(V2), P_critical_point-{F}(V2,V3), in_environment-{F}(V2,V4), V4 == V3, P_growth_rate-{F}(V0,V4,V5), P_growth_rate-{F}(V1,V4,V6), P_sk1-{F}(V4,V2,V7), greater-{F}(V7,V8), P_sk2-{F}(V2,V8), P_growth_rate-{F}(V0,V7,V9), P_growth_rate-{F}(V0,V8,V9), P_growth_rate-{F}(V1,V7,V10), P_growth_rate-{F}(V1,V8,V10) | greater-{T}(V5,V6)
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #60: mergings( V5 == V13, V13 == V21, V2 == V15, V0 == V11, V3 == V16, V11 == V19, V1 == V12, V4 == V17, V12 == V20, V6 == V18, V7 == V14, V8 == V22; #47 ), references = 3, size of lhs = 16:
% 0.23/0.51 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), environment-{F}(V2), stable-{F}(V2), P_critical_point-{F}(V2,V3), in_environment-{F}(V2,V4), V4 == V3, P_growth_rate-{F}(V0,V4,V5), P_growth_rate-{F}(V1,V4,V6), P_sk1-{F}(V4,V2,V7), greater-{F}(V7,V8), P_sk2-{F}(V2,V8), P_growth_rate-{F}(V0,V8,V5), P_growth_rate-{F}(V1,V8,V6), P_growth_rate-{F}(V0,V7,V9), P_growth_rate-{F}(V1,V7,V10) | greater-{T}(V5,V6)
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #70: mergings( V3 == V11, V6 == V7, V0 == V9, V9 == V10, V8 == V12; #64 ), references = 1, size of lhs = 12:
% 0.23/0.51 P_efficient_producers-{F}(V0), P_first_movers-{F}(V0), environment-{F}(V1), stable-{F}(V1), P_critical_point-{F}(V1,V2), in_environment-{F}(V1,V3), V3 == V2, P_growth_rate-{F}(V0,V3,V4), P_sk1-{F}(V3,V1,V5), greater-{F}(V5,V6), P_sk2-{F}(V1,V6), P_growth_rate-{F}(V0,V6,V4) | FALSE
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #84: mergings( V1 == V15, V11 == V12, V3 == V9, V6 == V12, V9 == V13, V4 == V13, V12 == V7, V13 == V14, V5 == V10, V8 == V0, V0 == V16; #72 ), references = 1, size of lhs = 9:
% 0.23/0.51 P_efficient_producers-{F}(V0), P_first_movers-{F}(V0), environment-{F}(V1), stable-{F}(V1), in_environment-{F}(V1,V2), P_sk2-{F}(V1,V2), P_critical_point-{F}(V1,V3), V2 == V3, P_growth_rate-{F}(V0,V2,V4) | FALSE
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #88: mergings( V3 == V6, V4 == V5; #85 ), references = 1, size of lhs = 8:
% 0.23/0.51 P_efficient_producers-{F}(V0), P_first_movers-{F}(V0), environment-{F}(V1), stable-{F}(V1), in_environment-{F}(V1,V2), P_sk2-{F}(V1,V2), P_critical_point-{F}(V1,V3), V2 == V3 | FALSE
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #94: mergings( V2 == V6, V3 == V6, V4 == V5; #90 ), references = 1, size of lhs = 5:
% 0.23/0.51 P_efficient_producers-{F}(V0), P_first_movers-{F}(V0), environment-{F}(V1), stable-{F}(V1), P_critical_point-{F}(V1,V2) | P_sk2-{T}(V1,V2)
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #110: mergings( V2 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V3 == V11, V11 == V6, V6 == V8, V8 == V10, V10 == V12; #99 ), references = 1, size of lhs = 5:
% 0.23/0.51 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_efficient_producers-{F}(V1), P_first_movers-{F}(V1) | FALSE
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #128: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V2 == V4, V4 == V6, V6 == V14, V14 == V9, V9 == V11, V11 == V13, V13 == V15; #113 ), references = 1, size of lhs = 2:
% 0.23/0.51 P_efficient_producers-{F}(V0), P_first_movers-{F}(V0) | FALSE
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #139: mergings( V4 == V8, V8 == V13, V10 == V11, V3 == V7, V6 == V11, V7 == V12, V5 == V9; #131 ), references = 1, size of lhs = 10:
% 0.23/0.51 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), environment-{F}(V2), stable-{F}(V2), in_environment-{F}(V2,V3), P_sk1-{F}(V3,V2,V3), P_sk2-{F}(V2,V3), P_critical_point-{F}(V2,V4), V3 == V4, P_growth_rate-{F}(V0,V3,V5) | FALSE
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #146: mergings( V4 == V13, V0 == V11, V3 == V12, V9 == V14; #141 ), references = 1, size of lhs = 15:
% 0.23/0.51 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), environment-{F}(V2), stable-{F}(V2), P_critical_point-{F}(V2,V3), in_environment-{F}(V2,V4), V4 == V3, P_growth_rate-{F}(V0,V4,V5), P_growth_rate-{F}(V1,V4,V6), P_sk1-{F}(V4,V2,V7), greater-{F}(V7,V8), P_sk2-{F}(V2,V8), P_growth_rate-{F}(V0,V8,V5), P_growth_rate-{F}(V1,V8,V6), P_growth_rate-{F}(V1,V7,V9) | FALSE
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #152: mergings( V4 == V12, V3 == V10, V0 == V11, V9 == V13; #147 ), references = 1, size of lhs = 14:
% 0.23/0.51 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), environment-{F}(V2), stable-{F}(V2), P_critical_point-{F}(V2,V3), in_environment-{F}(V2,V4), V4 == V3, P_growth_rate-{F}(V0,V4,V5), P_growth_rate-{F}(V1,V4,V6), P_sk1-{F}(V4,V2,V7), greater-{F}(V7,V8), P_sk2-{F}(V2,V8), P_growth_rate-{F}(V0,V8,V5), P_growth_rate-{F}(V1,V8,V6) | FALSE
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #161: mergings( V4 == V9, V9 == V13, V3 == V8, V6 == V11, V8 == V12, V5 == V10; #154 ), references = 1, size of lhs = 10:
% 0.23/0.51 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), environment-{F}(V2), stable-{F}(V2), in_environment-{F}(V2,V3), P_sk2-{F}(V2,V3), P_sk1-{F}(V3,V2,V4), P_critical_point-{F}(V2,V5), V3 == V5, P_growth_rate-{F}(V0,V3,V6) | FALSE
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #168: mergings( V1 == V11, V3 == V6, V5 == V8, V6 == V9, V4 == V7; #162 ), references = 1, size of lhs = 9:
% 0.23/0.51 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), environment-{F}(V2), stable-{F}(V2), in_environment-{F}(V2,V3), P_sk2-{F}(V2,V3), P_critical_point-{F}(V2,V4), V3 == V4, P_growth_rate-{F}(V0,V3,V5) | FALSE
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #172: mergings( V3 == V7, V4 == V5; #169 ), references = 1, size of lhs = 8:
% 0.23/0.51 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), environment-{F}(V2), stable-{F}(V2), in_environment-{F}(V2,V3), P_sk2-{F}(V2,V3), P_critical_point-{F}(V2,V4), V3 == V4 | FALSE
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #178: mergings( V2 == V6, V3 == V7, V4 == V5; #174 ), references = 1, size of lhs = 5:
% 0.23/0.51 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), environment-{F}(V2), stable-{F}(V2), P_critical_point-{F}(V2,V3) | P_sk2-{T}(V2,V3)
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #194: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #183 ), references = 1, size of lhs = 5:
% 0.23/0.51 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_efficient_producers-{F}(V1), P_first_movers-{F}(V2) | FALSE
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #212: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #197 ), references = 1, size of lhs = 2:
% 0.23/0.51 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1) | FALSE
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #221: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #213 ), references = 1, size of lhs = 1:
% 0.23/0.51 P_efficient_producers-{F}(V0) | FALSE
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 #223: exists( #10, #213 ), references = 1, size of lhs = 0:
% 0.23/0.51 FALSE | FALSE
% 0.23/0.51 (used 0 times, uses = {})
% 0.23/0.51
% 0.23/0.51 number of learnt formulas = 20
% 0.23/0.51
% 0.23/0.51
% 0.23/0.51 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.51
% 0.23/0.51 randbase = 1
%------------------------------------------------------------------------------