TSTP Solution File: MGT027-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : MGT027-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat Jul 23 06:10:35 EDT 2022

% Result   : Unsatisfiable 0.78s 0.96s
% Output   : Refutation 0.78s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : MGT027-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n010.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri Jul 22 11:07:41 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.78/0.96  GeoParameters:
% 0.78/0.96  
% 0.78/0.96  tptp_input =     1
% 0.78/0.96  tptp_output =    0
% 0.78/0.96  nonempty =       1
% 0.78/0.96  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.78/0.96  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.78/0.96  
% 0.78/0.96  
% 0.78/0.96  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.78/0.96  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.78/0.96  
% 0.78/0.96  RuleSystem INPUT:
% 0.78/0.96  
% 0.78/0.96  Initial Rules:
% 0.78/0.96  #0: input, references = 4, size of lhs = 7:
% 0.78/0.96     P_first_movers-{F}(V0), P_zero-{F}(V1), environment-{F}(V2), stable-{F}(V2), P_sk1-{F}(V3,V2,V4), P_cardinality_at_time-{F}(V0,V4,V5), in_environment-{F}(V2,V3) | greater-{T}(V5,V1), contracts_from-{T}(V3,V0)
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #1: input, references = 5, size of lhs = 6:
% 0.78/0.96     P_first_movers-{F}(V0), P_zero-{F}(V1), environment-{F}(V2), stable-{F}(V2), P_sk1-{F}(V3,V2,V4), in_environment-{F}(V2,V3) | greater_or_equal-{T}(V4,V3), contracts_from-{T}(V3,V0)
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #2: input, references = 7, size of lhs = 8:
% 0.78/0.96     P_first_movers-{F}(V0), P_zero-{F}(V1), environment-{F}(V2), stable-{F}(V2), P_sk1-{F}(V3,V2,V4), P_growth_rate-{F}(V0,V4,V5), in_environment-{F}(V2,V3), greater-{F}(V1,V5) | contracts_from-{T}(V3,V0)
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #3: input, references = 10, size of lhs = 9:
% 0.78/0.96     P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), P_cardinality_at_time-{F}(V0,V3,V4), P_cardinality_at_time-{F}(V2,V3,V5), greater-{F}(V4,V1), greater-{F}(V5,V1), environment-{F}(V6), in_environment-{F}(V6,V3) | subpopulations-{T}(V0,V2,V6,V3)
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #4: input, references = 23, size of lhs = 7:
% 0.78/0.96     P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), stable-{F}(V3), in_environment-{F}(V3,V5), greater-{F}(V4,V5) | in_environment-{T}(V3,V4)
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #5: input, references = 14, size of lhs = 6:
% 0.78/0.96     P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), P_appear-{F}(V2,V3,V4), environment-{F}(V3), stable-{F}(V3) | in_environment-{T}(V3,V4)
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #6: input, references = 9, size of lhs = 5:
% 0.78/0.96     P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), greater-{F}(V3,V4), greater-{F}(V5,V3) | greater-{T}(V5,V4)
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #7: input, references = 12, size of lhs = 5:
% 0.78/0.96     P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), greater_or_equal-{F}(V3,V4), V3 == V4 | greater-{T}(V3,V4)
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #8: input, references = 11, size of lhs = 4:
% 0.78/0.96     P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), greater-{F}(V3,V4) | greater_or_equal-{T}(V3,V4)
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #9: input, references = 4, size of lhs = 4:
% 0.78/0.96     P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), #-{F} V4 | greater_or_equal-{T}(V4,V4)
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #10: input, references = 11, size of lhs = 8:
% 0.78/0.96     P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), P_cardinality_at_time-{F}(V2,V3,V4), P_appear-{F}(V2,V5,V6), environment-{F}(V5), in_environment-{F}(V5,V3), greater_or_equal-{F}(V3,V6) | greater-{T}(V4,V1)
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #11: input, references = 14, size of lhs = 7:
% 0.78/0.96     P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), P_sk2-{F}(V3,V4), P_appear-{F}(V2,V3,V5), environment-{F}(V3), stable-{F}(V3) | greater-{T}(V4,V5)
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #12: input, references = 5, size of lhs = 9:
% 0.78/0.96     P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), P_sk2-{F}(V3,V4), environment-{F}(V3), stable-{F}(V3), P_growth_rate-{F}(V0,V5,V6), subpopulations-{F}(V0,V2,V3,V5), greater_or_equal-{F}(V5,V4) | greater-{T}(V1,V6)
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #13: input, references = 5, size of lhs = 4:
% 0.78/0.96     P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), P_sk3-{F}(V3) | environment-{T}(V3)
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #14: input, references = 5, size of lhs = 4:
% 0.78/0.96     P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), P_sk3-{F}(V3) | stable-{T}(V3)
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #15: input, references = 11, size of lhs = 7:
% 0.78/0.96     P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), P_sk3-{F}(V3), P_appear-{F}(V2,V3,V4), greater-{F}(V5,V4), contracts_from-{F}(V5,V0) | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #16: input, references = 10, size of lhs = 2:
% 0.78/0.96     #-{F} V0, #-{F} V1 | EXISTS V2: P_cardinality_at_time-{T}(V0,V1,V2)
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #17: input, references = 4, size of lhs = 0:
% 0.78/0.96     FALSE | EXISTS V0: P_first_movers-{T}(V0)
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #18: input, references = 5, size of lhs = 2:
% 0.78/0.96     #-{F} V0, #-{F} V1 | EXISTS V2: P_sk1-{T}(V0,V1,V2)
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #19: input, references = 4, size of lhs = 0:
% 0.78/0.96     FALSE | EXISTS V0: P_zero-{T}(V0)
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #20: input, references = 5, size of lhs = 2:
% 0.78/0.96     #-{F} V0, #-{F} V1 | EXISTS V2: P_growth_rate-{T}(V0,V1,V2)
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #21: input, references = 4, size of lhs = 0:
% 0.78/0.96     FALSE | EXISTS V0: P_efficient_producers-{T}(V0)
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #22: input, references = 13, size of lhs = 2:
% 0.78/0.96     #-{F} V0, #-{F} V1 | EXISTS V2: P_appear-{T}(V0,V1,V2)
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #23: input, references = 5, size of lhs = 1:
% 0.78/0.96     #-{F} V0 | EXISTS V1: P_sk2-{T}(V0,V1)
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #24: input, references = 5, size of lhs = 0:
% 0.78/0.96     FALSE | EXISTS V0: P_sk3-{T}(V0)
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  number of initial rules = 25
% 0.78/0.96  
% 0.78/0.96  Simplifiers:
% 0.78/0.96  #25: unsound, references = 3, size of lhs = 3:
% 0.78/0.96     environment-{F}(V0), environment-{F}(V1), V0 == V1 | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #26: unsound, references = 3, size of lhs = 3:
% 0.78/0.96     stable-{F}(V0), stable-{F}(V1), V0 == V1 | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #27: unsound, references = 3, size of lhs = 3:
% 0.78/0.96     in_environment-{F}(V0,V1), in_environment-{F}(V2,V3), V0 == V2 | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #28: unsound, references = 3, size of lhs = 3:
% 0.78/0.96     contracts_from-{F}(V0,V1), contracts_from-{F}(V2,V3), V1 == V3 | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #29: unsound, references = 3, size of lhs = 3:
% 0.78/0.96     subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #30: unsound, references = 3, size of lhs = 3:
% 0.78/0.96     subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #31: unsound, references = 3, size of lhs = 3:
% 0.78/0.96     subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #32: unsound, references = 3, size of lhs = 3:
% 0.78/0.96     P_cardinality_at_time-{F}(V0,V1,V2), P_cardinality_at_time-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #33: unsound, references = 3, size of lhs = 3:
% 0.78/0.96     P_first_movers-{F}(V0), P_first_movers-{F}(V1), V0 == V1 | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #34: unsound, references = 3, size of lhs = 3:
% 0.78/0.96     P_sk1-{F}(V0,V1,V2), P_sk1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #35: unsound, references = 3, size of lhs = 3:
% 0.78/0.96     P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #36: unsound, references = 3, size of lhs = 3:
% 0.78/0.96     P_growth_rate-{F}(V0,V1,V2), P_growth_rate-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #37: unsound, references = 3, size of lhs = 3:
% 0.78/0.96     P_efficient_producers-{F}(V0), P_efficient_producers-{F}(V1), V0 == V1 | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #38: unsound, references = 3, size of lhs = 3:
% 0.78/0.96     P_appear-{F}(V0,V1,V2), P_appear-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #39: unsound, references = 3, size of lhs = 3:
% 0.78/0.96     P_sk2-{F}(V0,V1), P_sk2-{F}(V0,V3), V1 == V3 | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #40: unsound, references = 3, size of lhs = 3:
% 0.78/0.96     P_sk3-{F}(V0), P_sk3-{F}(V1), V0 == V1 | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  number of simplifiers = 16
% 0.78/0.96  
% 0.78/0.96  Learnt:
% 0.78/0.96  #69: mergings( V3 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V16, V16 == V23, V4 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V24, V10 == V13, V13 == V17, V17 == V0, V7 == V20; #52 ), references = 1, size of lhs = 13:
% 0.78/0.96     environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_sk2-{F}(V0,V1), greater_or_equal-{F}(V1,V1), P_sk1-{F}(V1,V0,V2), P_first_movers-{F}(V3), P_cardinality_at_time-{F}(V3,V1,V4), P_growth_rate-{F}(V3,V1,V5), P_growth_rate-{F}(V3,V2,V5), P_zero-{F}(V6), P_efficient_producers-{F}(V7), P_cardinality_at_time-{F}(V7,V1,V4) | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #86: mergings( V3 == V5, V5 == V7, V7 == V10, V10 == V13, V13 == V0, V4 == V6, V6 == V8, V8 == V11, V11 == V14, V14 == V16, V16 == V20, V9 == V12, V12 == V15, V15 == V21, V1 == V19; #70 ), references = 1, size of lhs = 11:
% 0.78/0.96     environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_sk2-{F}(V0,V1), P_sk1-{F}(V1,V0,V1), greater_or_equal-{F}(V1,V1), P_first_movers-{F}(V2), P_cardinality_at_time-{F}(V2,V1,V3), P_zero-{F}(V4), P_efficient_producers-{F}(V5), P_cardinality_at_time-{F}(V5,V1,V3) | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #102: mergings( V3 == V5, V5 == V7, V7 == V10, V10 == V13, V13 == V0, V4 == V6, V6 == V8, V8 == V11, V11 == V14, V14 == V15, V15 == V18, V9 == V12, V12 == V0, V1 == V17; #87 ), references = 2, size of lhs = 9:
% 0.78/0.96     environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_sk2-{F}(V0,V1), P_sk1-{F}(V1,V0,V1), greater_or_equal-{F}(V1,V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V2), P_zero-{F}(V3) | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #114: mergings( V2 == V7, V7 == V10, V0 == V5, V5 == V13, V1 == V9, V9 == V14, V6 == V15; #106 ), references = 1, size of lhs = 16:
% 0.78/0.96     environment-{F}(V0), stable-{F}(V0), in_environment-{F}(V0,V1), P_sk2-{F}(V0,V1), P_sk1-{F}(V1,V0,V2), in_environment-{F}(V0,V3), P_sk1-{F}(V3,V0,V4), P_first_movers-{F}(V5), P_growth_rate-{F}(V5,V2,V6), P_growth_rate-{F}(V5,V4,V6), P_zero-{F}(V7), P_efficient_producers-{F}(V8), subpopulations-{F}(V5,V8,V0,V2), P_sk3-{F}(V9), P_appear-{F}(V8,V9,V10), greater-{F}(V3,V10) | contracts_from-{T}(V1,V5)
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #127: mergings( V4 == V7, V7 == V9, V0 == V15, V3 == V8, V8 == V11, V11 == V16, V6 == V12, V12 == V17, V13 == V18, V14 == V19; #116 ), references = 6, size of lhs = 15:
% 0.78/0.96     environment-{F}(V0), stable-{F}(V0), in_environment-{F}(V0,V1), P_sk2-{F}(V0,V1), P_sk1-{F}(V1,V0,V2), in_environment-{F}(V0,V3), P_sk1-{F}(V3,V0,V2), greater-{F}(V3,V4), greater-{F}(V1,V4), P_first_movers-{F}(V5), P_zero-{F}(V6), P_efficient_producers-{F}(V7), subpopulations-{F}(V5,V7,V0,V2), P_sk3-{F}(V8), P_appear-{F}(V7,V8,V4) | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #144: mergings( V4 == V8, V8 == V10, V10 == V12, V3 == V0, V0 == V18, V6 == V7, V7 == V11, V11 == V14, V14 == V19, V18 == V15, V15 == V20, V16 == V21, V17 == V22; #130 ), references = 2, size of lhs = 17:
% 0.78/0.96     environment-{F}(V0), stable-{F}(V0), in_environment-{F}(V0,V1), P_sk2-{F}(V0,V1), P_sk1-{F}(V1,V0,V2), in_environment-{F}(V0,V2), greater_or_equal-{F}(V2,V3), in_environment-{F}(V0,V4), P_sk1-{F}(V4,V0,V2), greater-{F}(V4,V5), greater-{F}(V1,V5), P_first_movers-{F}(V6), P_appear-{F}(V6,V0,V3), P_efficient_producers-{F}(V6), P_zero-{F}(V7), P_sk3-{F}(V8), P_appear-{F}(V6,V8,V5) | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #150: mergings( V1 == V5; #148 ), references = 9, size of lhs = 10:
% 0.78/0.96     environment-{F}(V0), stable-{F}(V0), in_environment-{F}(V0,V1), P_sk1-{F}(V1,V0,V2), P_first_movers-{F}(V3), P_zero-{F}(V4), P_efficient_producers-{F}(V5), P_sk3-{F}(V6), P_appear-{F}(V5,V6,V7), greater-{F}(V1,V7) | greater_or_equal-{T}(V2,V1)
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #182: mergings( V3 == V5, V5 == V8, V8 == V12, V12 == V14, V14 == V17, V17 == V20, V20 == V23, V23 == V0, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V21, V21 == V24, V24 == V27, V10 == V16, V16 == V19, V19 == V22, V22 == V25, V25 == V0; #159 ), references = 1, size of lhs = 9:
% 0.78/0.96     environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_sk2-{F}(V0,V1), P_sk1-{F}(V1,V0,V2), V2 == V1, P_first_movers-{F}(V3), P_efficient_producers-{F}(V3), P_zero-{F}(V4) | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #206: mergings( V3 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V16, V16 == V19, V19 == V22, V22 == V25, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V20, V20 == V23, V23 == V26, V9 == V15, V15 == V18, V18 == V21, V21 == V24, V24 == V25; #183 ), references = 2, size of lhs = 7:
% 0.78/0.96     environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_sk2-{F}(V0,V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V2), P_zero-{F}(V3) | P_sk1-{T}(V1,V0,V1)
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #216: mergings( V2 == V5, V5 == V7, V3 == V6, V6 == V8, V4 == V7; #210 ), references = 1, size of lhs = 6:
% 0.78/0.96     environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), P_zero-{F}(V2) | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #231: mergings( V1 == V4, V4 == V7, V7 == V10, V10 == V12, V2 == V5, V5 == V8, V8 == V11, V11 == V13, V3 == V6, V6 == V9, V9 == V12; #219 ), references = 1, size of lhs = 3:
% 0.78/0.96     P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), P_zero-{F}(V1) | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #279: mergings( V3 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V16, V16 == V19, V19 == V23, V23 == V25, V25 == V29, V4 == V6, V6 == V7, V7 == V9, V9 == V12, V12 == V17, V17 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V30, V10 == V13, V13 == V18, V18 == V21, V21 == V27, V27 == V0; #254 ), references = 1, size of lhs = 12:
% 0.78/0.96     environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_sk2-{F}(V0,V1), P_zero-{F}(V1), P_sk1-{F}(V1,V0,V2), P_first_movers-{F}(V3), P_growth_rate-{F}(V3,V2,V4), V1 == V4, P_sk1-{F}(V4,V0,V1), P_efficient_producers-{F}(V5), P_cardinality_at_time-{F}(V5,V1,V4) | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #328: mergings( V3 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V16, V16 == V19, V19 == V23, V23 == V25, V25 == V30, V28 == V29, V4 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V17, V17 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V31, V10 == V15, V15 == V18, V18 == V21, V21 == V27, V27 == V0; #302 ), references = 1, size of lhs = 12:
% 0.78/0.96     environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_sk2-{F}(V0,V1), P_sk1-{F}(V1,V0,V2), V2 == V1, P_sk1-{F}(V2,V0,V3), V3 == V2, P_zero-{F}(V3), P_first_movers-{F}(V4), P_growth_rate-{F}(V4,V2,V2), P_efficient_producers-{F}(V5) | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #362: mergings( V3 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V15, V15 == V19, V4 == V6, V6 == V7, V7 == V9, V9 == V12, V12 == V16, V16 == V20, V10 == V13, V13 == V17, V17 == V0; #346 ), references = 1, size of lhs = 11:
% 0.78/0.96     environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_sk2-{F}(V0,V1), P_zero-{F}(V1), P_sk1-{F}(V1,V0,V2), P_first_movers-{F}(V3), P_cardinality_at_time-{F}(V3,V2,V2), P_efficient_producers-{F}(V4), P_cardinality_at_time-{F}(V4,V1,V2), P_cardinality_at_time-{F}(V4,V2,V2) | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #392: mergings( V3 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V16, V16 == V20, V4 == V6, V6 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V17, V17 == V21, V10 == V15, V15 == V18, V18 == V0; #375 ), references = 1, size of lhs = 11:
% 0.78/0.96     environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_sk2-{F}(V0,V1), P_zero-{F}(V1), P_sk1-{F}(V1,V0,V2), V2 == V1, P_first_movers-{F}(V3), P_cardinality_at_time-{F}(V3,V2,V2), P_efficient_producers-{F}(V4), P_cardinality_at_time-{F}(V4,V2,V2) | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #438: mergings( V3 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V16, V16 == V19, V19 == V22, V22 == V25, V25 == V28, V4 == V6, V6 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V17, V17 == V20, V20 == V23, V23 == V29, V10 == V15, V15 == V18, V18 == V21, V21 == V24, V24 == V0; #414 ), references = 1, size of lhs = 11:
% 0.78/0.96     environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_sk2-{F}(V0,V1), P_zero-{F}(V1), P_sk1-{F}(V1,V0,V2), V2 == V1, P_first_movers-{F}(V3), P_cardinality_at_time-{F}(V3,V2,V2), P_efficient_producers-{F}(V4), P_cardinality_at_time-{F}(V4,V2,V5) | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #463: mergings( V3 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V16, V16 == V19, V19 == V22, V22 == V25, V25 == V27, V4 == V6, V6 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V17, V17 == V20, V20 == V23, V23 == V28, V10 == V15, V15 == V18, V18 == V21, V21 == V24, V24 == V0; #439 ), references = 1, size of lhs = 10:
% 0.78/0.96     environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_sk2-{F}(V0,V1), P_zero-{F}(V1), P_sk1-{F}(V1,V0,V2), V2 == V1, P_first_movers-{F}(V3), P_cardinality_at_time-{F}(V3,V2,V2), P_efficient_producers-{F}(V4) | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #469: mergings( V2 == V6, V0 == V11, V1 == V12; #465 ), references = 4, size of lhs = 21:
% 0.78/0.96     environment-{F}(V0), stable-{F}(V0), in_environment-{F}(V0,V1), P_sk1-{F}(V1,V0,V2), in_environment-{F}(V0,V3), in_environment-{F}(V0,V4), P_sk2-{F}(V0,V4), P_sk1-{F}(V4,V0,V3), in_environment-{F}(V0,V5), P_sk1-{F}(V5,V0,V3), greater-{F}(V5,V6), greater-{F}(V4,V6), P_first_movers-{F}(V7), P_cardinality_at_time-{F}(V7,V2,V8), P_cardinality_at_time-{F}(V7,V3,V8), P_zero-{F}(V9), P_efficient_producers-{F}(V10), P_cardinality_at_time-{F}(V10,V3,V11), greater-{F}(V11,V9), P_sk3-{F}(V12), P_appear-{F}(V10,V12,V6) | contracts_from-{T}(V1,V7)
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #505: mergings( V3 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V16, V16 == V21, V19 == V20, V4 == V6, V6 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V17, V17 == V23, V10 == V15, V15 == V18, V18 == V0; #487 ), references = 1, size of lhs = 11:
% 0.78/0.96     environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_sk2-{F}(V0,V1), P_zero-{F}(V1), P_sk1-{F}(V1,V0,V2), V2 == V1, P_first_movers-{F}(V3), P_cardinality_at_time-{F}(V3,V2,V4), P_efficient_producers-{F}(V5), P_cardinality_at_time-{F}(V5,V2,V2) | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #575: mergings( V3 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V16, V16 == V19, V19 == V22, V22 == V25, V25 == V29, V4 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V17, V17 == V20, V20 == V23, V23 == V26, V26 == V30, V10 == V15, V15 == V18, V18 == V21, V21 == V24, V24 == V0; #550 ), references = 1, size of lhs = 11:
% 0.78/0.96     environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_sk2-{F}(V0,V1), P_sk1-{F}(V1,V0,V2), V2 == V1, P_first_movers-{F}(V3), P_cardinality_at_time-{F}(V3,V2,V4), P_zero-{F}(V5), P_efficient_producers-{F}(V6), P_cardinality_at_time-{F}(V6,V2,V4) | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #600: mergings( V3 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V16, V16 == V19, V19 == V22, V22 == V25, V25 == V30, V26 == V27, V4 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V17, V17 == V20, V20 == V23, V23 == V29, V29 == V32, V10 == V15, V15 == V18, V18 == V21, V21 == V24, V24 == V0; #551 ), references = 1, size of lhs = 11:
% 0.78/0.96     environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_sk2-{F}(V0,V1), P_sk1-{F}(V1,V0,V2), V2 == V1, P_first_movers-{F}(V3), P_cardinality_at_time-{F}(V3,V2,V4), P_zero-{F}(V5), P_efficient_producers-{F}(V6), P_cardinality_at_time-{F}(V6,V2,V7) | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #626: mergings( V3 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V15, V15 == V18, V18 == V21, V21 == V24, V24 == V29, V27 == V1, V4 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V16, V16 == V19, V19 == V22, V22 == V28, V28 == V31, V9 == V14, V14 == V17, V17 == V20, V20 == V23, V23 == V0; #601 ), references = 1, size of lhs = 10:
% 0.78/0.96     environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_sk2-{F}(V0,V1), P_sk1-{F}(V1,V0,V2), V2 == V1, P_first_movers-{F}(V3), P_cardinality_at_time-{F}(V3,V2,V4), P_zero-{F}(V5), P_efficient_producers-{F}(V6) | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #651: mergings( V3 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V15, V15 == V18, V18 == V21, V21 == V24, V24 == V0, V4 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V16, V16 == V19, V19 == V22, V22 == V27, V27 == V28, V9 == V14, V14 == V17, V17 == V20, V20 == V23, V23 == V29; #627 ), references = 1, size of lhs = 9:
% 0.78/0.96     environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_sk2-{F}(V0,V1), P_sk1-{F}(V1,V0,V2), V2 == V1, P_first_movers-{F}(V3), P_zero-{F}(V4), P_efficient_producers-{F}(V5) | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #676: mergings( V3 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V15, V15 == V18, V18 == V21, V21 == V24, V24 == V26, V4 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V16, V16 == V19, V19 == V22, V22 == V25, V25 == V27, V9 == V14, V14 == V17, V17 == V20, V20 == V23, V23 == V28; #652 ), references = 1, size of lhs = 7:
% 0.78/0.96     environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_sk2-{F}(V0,V1), P_first_movers-{F}(V2), P_zero-{F}(V3), P_efficient_producers-{F}(V4) | P_sk1-{T}(V1,V0,V1)
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #707: mergings( V3 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V18, V7 == V16, V4 == V6, V6 == V9, V9 == V12, V12 == V17, V17 == V20, V10 == V13, V13 == V0; #693 ), references = 1, size of lhs = 10:
% 0.78/0.96     environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_sk2-{F}(V0,V1), P_sk1-{F}(V1,V0,V1), P_first_movers-{F}(V2), P_cardinality_at_time-{F}(V2,V1,V3), P_zero-{F}(V4), P_efficient_producers-{F}(V5), P_cardinality_at_time-{F}(V5,V1,V6) | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #722: mergings( V3 == V5, V5 == V7, V7 == V10, V10 == V13, V13 == V17, V1 == V15, V4 == V6, V6 == V8, V8 == V11, V11 == V16, V16 == V19, V9 == V12, V12 == V0; #708 ), references = 1, size of lhs = 9:
% 0.78/0.96     environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_sk2-{F}(V0,V1), P_sk1-{F}(V1,V0,V1), P_first_movers-{F}(V2), P_cardinality_at_time-{F}(V2,V1,V3), P_zero-{F}(V4), P_efficient_producers-{F}(V5) | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #736: mergings( V3 == V5, V5 == V7, V7 == V10, V10 == V13, V13 == V0, V4 == V6, V6 == V8, V8 == V11, V11 == V15, V15 == V16, V9 == V12, V12 == V17; #723 ), references = 1, size of lhs = 8:
% 0.78/0.96     environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_sk2-{F}(V0,V1), P_sk1-{F}(V1,V0,V1), P_first_movers-{F}(V2), P_zero-{F}(V3), P_efficient_producers-{F}(V4) | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #777: mergings( V2 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V23, V23 == V25, V25 == V28, V28 == V30, V30 == V32, V32 == V35, V35 == V38, V38 == V40, V3 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V15, V15 == V18, V18 == V21, V21 == V24, V24 == V26, V26 == V29, V29 == V31, V31 == V33, V33 == V36, V36 == V39, V39 == V41, V8 == V13, V13 == V16, V16 == V19, V19 == V22, V22 == V27, V27 == V34, V34 == V37, V37 == V42; #738 ), references = 1, size of lhs = 6:
% 0.78/0.96     environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), P_efficient_producers-{F}(V3) | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #825: mergings( V1 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V19, V19 == V22, V22 == V25, V25 == V28, V28 == V30, V30 == V33, V33 == V35, V35 == V37, V37 == V40, V40 == V43, V43 == V45, V2 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V20, V20 == V23, V23 == V26, V26 == V29, V29 == V31, V31 == V34, V34 == V36, V36 == V38, V38 == V41, V41 == V44, V44 == V46, V3 == V6, V6 == V13, V13 == V18, V18 == V21, V21 == V24, V24 == V27, V27 == V32, V32 == V39, V39 == V42, V42 == V47; #780 ), references = 1, size of lhs = 3:
% 0.78/0.96     P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2) | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #861: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36; #826 ), references = 1, size of lhs = 2:
% 0.78/0.96     P_first_movers-{F}(V0), P_zero-{F}(V1) | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #880: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18; #862 ), references = 1, size of lhs = 1:
% 0.78/0.96     P_first_movers-{F}(V0) | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  #882: exists( #17, #862 ), references = 1, size of lhs = 0:
% 0.78/0.96     FALSE | FALSE
% 0.78/0.96        (used 0 times, uses = {})
% 0.78/0.96  
% 0.78/0.96  number of learnt formulas = 32
% 0.78/0.96  
% 0.78/0.96  
% 0.78/0.96  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.78/0.96  
% 0.78/0.96  randbase = 1
%------------------------------------------------------------------------------