TSTP Solution File: MGT039-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : MGT039-1 : TPTP v8.1.0. 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   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat Jul 23 06:10:41 EDT 2022

% Result   : Unsatisfiable 0.50s 0.72s
% Output   : Refutation 0.50s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : MGT039-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n003.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 11:15:08 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.50/0.72  GeoParameters:
% 0.50/0.72  
% 0.50/0.72  tptp_input =     1
% 0.50/0.72  tptp_output =    0
% 0.50/0.72  nonempty =       1
% 0.50/0.72  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.50/0.72  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.50/0.72  
% 0.50/0.72  
% 0.50/0.72  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.50/0.72  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.50/0.72  
% 0.50/0.72  RuleSystem INPUT:
% 0.50/0.72  
% 0.50/0.72  Initial Rules:
% 0.50/0.72  #0: input, references = 4, size of lhs = 6:
% 0.50/0.72     P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), propagation_strategy-{F}(V0), propagation_strategy-{F}(V1), P_sk1-{F}(V2,V3), observational_period-{F}(V2) | environment-{T}(V3), selection_favors-{T}(V1,V0,V2)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #1: input, references = 4, size of lhs = 6:
% 0.50/0.72     P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), propagation_strategy-{F}(V0), propagation_strategy-{F}(V1), P_sk1-{F}(V2,V3), observational_period-{F}(V2) | in_environment-{T}(V2,V3), selection_favors-{T}(V1,V0,V2)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #2: input, references = 11, size of lhs = 8:
% 0.50/0.72     P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), propagation_strategy-{F}(V0), propagation_strategy-{F}(V1), P_sk1-{F}(V2,V3), P_end_time-{F}(V3,V4), observational_period-{F}(V2), selection_favors-{F}(V1,V0,V4) | selection_favors-{T}(V1,V0,V2)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #3: input, references = 14, size of lhs = 7:
% 0.50/0.72     P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), observational_period-{F}(V2), slow_change-{F}(V2), P_sk2-{F}(V3,V2,V4), environment-{F}(V3), in_environment-{F}(V2,V3) | in_environment-{T}(V3,V4)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #4: input, references = 15, size of lhs = 8:
% 0.50/0.72     P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), observational_period-{F}(V2), slow_change-{F}(V2), P_sk2-{F}(V3,V2,V4), P_critical_point-{F}(V3,V5), environment-{F}(V3), in_environment-{F}(V2,V3) | greater-{T}(V4,V5)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #5: input, references = 4, size of lhs = 2:
% 0.50/0.72     P_first_movers-{F}(V0), P_efficient_producers-{F}(V1) | propagation_strategy-{T}(V0)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #6: input, references = 4, size of lhs = 2:
% 0.50/0.72     P_first_movers-{F}(V0), P_efficient_producers-{F}(V1) | propagation_strategy-{T}(V1)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #7: input, references = 11, size of lhs = 7:
% 0.50/0.72     P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_start_time-{F}(V2,V3), P_end_time-{F}(V2,V4), environment-{F}(V2), greater_or_equal-{F}(V5,V3), greater_or_equal-{F}(V4,V5) | in_environment-{T}(V2,V5)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #8: input, references = 9, size of lhs = 5:
% 0.50/0.72     P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_end_time-{F}(V2,V3), environment-{F}(V2), in_environment-{F}(V2,V4) | greater_or_equal-{T}(V3,V4)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #9: input, references = 7, size of lhs = 5:
% 0.50/0.72     P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_critical_point-{F}(V2,V3), P_start_time-{F}(V2,V4), environment-{F}(V2) | greater_or_equal-{T}(V3,V4)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #10: input, references = 14, size of lhs = 4:
% 0.50/0.72     P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), greater-{F}(V2,V3), greater-{F}(V4,V2) | greater-{T}(V4,V3)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #11: input, references = 14, size of lhs = 4:
% 0.50/0.72     P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), greater_or_equal-{F}(V2,V3), V2 == V3 | greater-{T}(V2,V3)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #12: input, references = 10, size of lhs = 3:
% 0.50/0.72     P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), greater-{F}(V2,V3) | greater_or_equal-{T}(V2,V3)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #13: input, references = 4, size of lhs = 3:
% 0.50/0.72     P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), #-{F} V3 | greater_or_equal-{T}(V3,V3)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #14: input, references = 5, size of lhs = 6:
% 0.50/0.72     P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_start_time-{F}(V2,V3), P_end_time-{F}(V2,V4), environment-{F}(V2), greater-{F}(V5,V3) | greater-{T}(V5,V4), greater_or_equal-{T}(V4,V5)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #15: input, references = 17, size of lhs = 6:
% 0.50/0.72     P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_critical_point-{F}(V3,V4), environment-{F}(V3), in_environment-{F}(V3,V2), greater-{F}(V2,V4) | selection_favors-{T}(V1,V0,V2)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #16: input, references = 4, size of lhs = 3:
% 0.50/0.72     P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_sk3-{F}(V2) | observational_period-{T}(V2)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #17: input, references = 4, size of lhs = 3:
% 0.50/0.72     P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_sk3-{F}(V2) | slow_change-{T}(V2)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #18: input, references = 17, size of lhs = 4:
% 0.50/0.72     P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_sk3-{F}(V2), selection_favors-{F}(V1,V0,V2) | FALSE
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #19: input, references = 4, size of lhs = 0:
% 0.50/0.72     FALSE | EXISTS V0: P_first_movers-{T}(V0)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #20: input, references = 4, size of lhs = 0:
% 0.50/0.72     FALSE | EXISTS V0: P_efficient_producers-{T}(V0)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #21: input, references = 4, size of lhs = 1:
% 0.50/0.72     #-{F} V0 | EXISTS V1: P_sk1-{T}(V0,V1)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #22: input, references = 4, size of lhs = 1:
% 0.50/0.72     #-{F} V0 | EXISTS V1: P_end_time-{T}(V0,V1)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #23: input, references = 9, size of lhs = 2:
% 0.50/0.72     #-{F} V0, #-{F} V1 | EXISTS V2: P_sk2-{T}(V0,V1,V2)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #24: input, references = 5, size of lhs = 1:
% 0.50/0.72     #-{F} V0 | EXISTS V1: P_critical_point-{T}(V0,V1)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #25: input, references = 7, size of lhs = 1:
% 0.50/0.72     #-{F} V0 | EXISTS V1: P_start_time-{T}(V0,V1)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #26: input, references = 4, size of lhs = 0:
% 0.50/0.72     FALSE | EXISTS V0: P_sk3-{T}(V0)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  number of initial rules = 27
% 0.50/0.72  
% 0.50/0.72  Simplifiers:
% 0.50/0.72  #27: unsound, references = 3, size of lhs = 3:
% 0.50/0.72     observational_period-{F}(V0), observational_period-{F}(V1), V0 == V1 | FALSE
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #28: unsound, references = 3, size of lhs = 3:
% 0.50/0.72     selection_favors-{F}(V0,V1,V2), selection_favors-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #29: unsound, references = 3, size of lhs = 3:
% 0.50/0.72     selection_favors-{F}(V0,V1,V2), selection_favors-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #30: unsound, references = 3, size of lhs = 3:
% 0.50/0.72     slow_change-{F}(V0), slow_change-{F}(V1), V0 == V1 | FALSE
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #31: unsound, references = 3, size of lhs = 3:
% 0.50/0.72     P_first_movers-{F}(V0), P_first_movers-{F}(V1), V0 == V1 | FALSE
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #32: unsound, references = 3, size of lhs = 3:
% 0.50/0.72     P_efficient_producers-{F}(V0), P_efficient_producers-{F}(V1), V0 == V1 | FALSE
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #33: unsound, references = 3, size of lhs = 3:
% 0.50/0.72     P_sk1-{F}(V0,V1), P_sk1-{F}(V0,V3), V1 == V3 | FALSE
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #34: unsound, references = 3, size of lhs = 3:
% 0.50/0.72     P_end_time-{F}(V0,V1), P_end_time-{F}(V0,V3), V1 == V3 | FALSE
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #35: unsound, references = 3, size of lhs = 3:
% 0.50/0.72     P_sk2-{F}(V0,V1,V2), P_sk2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #36: unsound, references = 3, size of lhs = 3:
% 0.50/0.72     P_critical_point-{F}(V0,V1), P_critical_point-{F}(V0,V3), V1 == V3 | FALSE
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #37: unsound, references = 3, size of lhs = 3:
% 0.50/0.72     P_start_time-{F}(V0,V1), P_start_time-{F}(V0,V3), V1 == V3 | FALSE
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #38: unsound, references = 3, size of lhs = 3:
% 0.50/0.72     P_sk3-{F}(V0), P_sk3-{F}(V1), V0 == V1 | FALSE
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  number of simplifiers = 12
% 0.50/0.72  
% 0.50/0.72  Learnt:
% 0.50/0.72  #40: disj( #0, input ), references = 2, size of lhs = 7:
% 0.50/0.72     propagation_strategy-{F}(V0), P_first_movers-{F}(V0), propagation_strategy-{F}(V1), P_efficient_producers-{F}(V1), observational_period-{F}(V2), P_sk3-{F}(V2), P_sk1-{F}(V2,V3) | environment-{T}(V3)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #42: disj( #1, input ), references = 2, size of lhs = 7:
% 0.50/0.72     propagation_strategy-{F}(V0), P_first_movers-{F}(V0), propagation_strategy-{F}(V1), P_efficient_producers-{F}(V1), observational_period-{F}(V2), P_sk3-{F}(V2), P_sk1-{F}(V2,V3) | in_environment-{T}(V2,V3)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #65: mergings( V1 == V18, V3 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V16, V4 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V17; #53 ), references = 2, size of lhs = 16:
% 0.50/0.72     slow_change-{F}(V0), observational_period-{F}(V0), P_sk3-{F}(V0), environment-{F}(V1), in_environment-{F}(V0,V1), P_critical_point-{F}(V1,V2), P_end_time-{F}(V1,V3), environment-{F}(V4), in_environment-{F}(V4,V3), P_critical_point-{F}(V4,V2), propagation_strategy-{F}(V5), P_first_movers-{F}(V5), propagation_strategy-{F}(V6), P_efficient_producers-{F}(V6), P_sk1-{F}(V0,V7), P_end_time-{F}(V7,V3) | P_sk2-{T}(V1,V0,V3)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #94: mergings( V0 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V17, V1 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V18; #83 ), references = 1, size of lhs = 14:
% 0.50/0.72     environment-{F}(V0), P_start_time-{F}(V0,V1), P_end_time-{F}(V0,V2), P_sk3-{F}(V2), environment-{F}(V3), P_start_time-{F}(V3,V4), P_end_time-{F}(V3,V5), greater_or_equal-{F}(V5,V2), P_critical_point-{F}(V3,V6), V2 == V6, greater-{F}(V6,V1), greater-{F}(V6,V4), P_first_movers-{F}(V7), P_efficient_producers-{F}(V8) | greater-{T}(V6,V2)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #131: mergings( V3 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V24, V4 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V25; #114 ), references = 1, size of lhs = 15:
% 0.50/0.72     observational_period-{F}(V0), slow_change-{F}(V0), environment-{F}(V1), in_environment-{F}(V0,V1), P_critical_point-{F}(V1,V2), P_end_time-{F}(V1,V3), P_sk3-{F}(V3), environment-{F}(V4), P_critical_point-{F}(V4,V2), P_start_time-{F}(V4,V5), greater-{F}(V2,V5), P_end_time-{F}(V4,V6), greater_or_equal-{F}(V6,V3), P_first_movers-{F}(V7), P_efficient_producers-{F}(V8) | P_sk2-{T}(V1,V0,V3)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #166: mergings( V2 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V25, V25 == V27, V27 == V29, V29 == V34, V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V26, V26 == V28, V28 == V30, V30 == V35, V4 == V33; #138 ), references = 1, size of lhs = 13:
% 0.50/0.72     environment-{F}(V0), P_critical_point-{F}(V0,V1), P_end_time-{F}(V0,V2), greater_or_equal-{F}(V2,V3), P_sk3-{F}(V3), observational_period-{F}(V4), slow_change-{F}(V4), environment-{F}(V5), P_end_time-{F}(V5,V3), in_environment-{F}(V4,V5), P_critical_point-{F}(V5,V1), P_first_movers-{F}(V6), P_efficient_producers-{F}(V7) | P_start_time-{T}(V0,V1)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #198: mergings( V3 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V21, V4 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V22; #183 ), references = 1, size of lhs = 14:
% 0.50/0.72     observational_period-{F}(V0), slow_change-{F}(V0), environment-{F}(V1), in_environment-{F}(V0,V1), P_critical_point-{F}(V1,V2), P_end_time-{F}(V1,V3), P_sk3-{F}(V3), environment-{F}(V4), P_start_time-{F}(V4,V2), P_critical_point-{F}(V4,V2), P_end_time-{F}(V4,V5), greater_or_equal-{F}(V5,V3), P_first_movers-{F}(V6), P_efficient_producers-{F}(V7) | P_sk2-{T}(V1,V0,V3)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #257: mergings( V29 == V55, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V23, V23 == V25, V25 == V27, V27 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V49, V49 == V51, V51 == V53, V53 == V56, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V24, V24 == V26, V26 == V28, V28 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V50, V50 == V52, V52 == V54, V54 == V57, V22 == V46, V46 == V47, V47 == V48; #204 ), references = 1, size of lhs = 9:
% 0.50/0.72     environment-{F}(V0), P_sk3-{F}(V1), greater_or_equal-{F}(V1,V1), P_end_time-{F}(V0,V1), observational_period-{F}(V2), slow_change-{F}(V2), in_environment-{F}(V2,V0), P_first_movers-{F}(V3), P_efficient_producers-{F}(V4) | FALSE
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #280: mergings( V0 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V17, V1 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V18; #269 ), references = 1, size of lhs = 19:
% 0.50/0.72     environment-{F}(V0), P_start_time-{F}(V0,V1), P_end_time-{F}(V0,V2), environment-{F}(V3), P_start_time-{F}(V3,V4), P_end_time-{F}(V3,V5), greater_or_equal-{F}(V5,V2), P_critical_point-{F}(V3,V6), V2 == V6, greater-{F}(V6,V1), greater-{F}(V6,V4), propagation_strategy-{F}(V7), P_first_movers-{F}(V7), propagation_strategy-{F}(V8), P_efficient_producers-{F}(V8), observational_period-{F}(V9), P_sk3-{F}(V9), P_sk1-{F}(V9,V10), P_end_time-{F}(V10,V2) | greater-{T}(V6,V2)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #318: mergings( V3 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V23, V4 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V24; #301 ), references = 1, size of lhs = 15:
% 0.50/0.72     observational_period-{F}(V0), slow_change-{F}(V0), environment-{F}(V1), in_environment-{F}(V0,V1), P_critical_point-{F}(V1,V2), P_sk3-{F}(V2), P_end_time-{F}(V1,V3), greater-{F}(V2,V3), environment-{F}(V4), P_end_time-{F}(V4,V3), P_critical_point-{F}(V4,V2), P_start_time-{F}(V4,V5), greater_or_equal-{F}(V2,V5), P_first_movers-{F}(V6), P_efficient_producers-{F}(V7) | P_sk2-{T}(V1,V0,V3)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #372: mergings( V21 == V45, V45 == V50, V2 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V48, V3 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V20, V20 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V49, V22 == V51, V9 == V18, V4 == V47, V47 == V50; #327 ), references = 1, size of lhs = 18:
% 0.50/0.72     environment-{F}(V0), P_critical_point-{F}(V0,V1), slow_change-{F}(V1), observational_period-{F}(V1), P_sk3-{F}(V1), P_end_time-{F}(V0,V2), V2 == V1, greater_or_equal-{F}(V2,V2), environment-{F}(V3), P_end_time-{F}(V3,V2), in_environment-{F}(V1,V3), P_critical_point-{F}(V3,V1), propagation_strategy-{F}(V4), P_first_movers-{F}(V4), propagation_strategy-{F}(V5), P_efficient_producers-{F}(V5), P_sk1-{F}(V1,V6), P_end_time-{F}(V6,V2) | P_start_time-{T}(V0,V1)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #405: mergings( V1 == V23, V3 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V21, V4 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V22; #389 ), references = 2, size of lhs = 18:
% 0.50/0.72     slow_change-{F}(V0), observational_period-{F}(V0), P_sk3-{F}(V0), environment-{F}(V1), in_environment-{F}(V0,V1), P_critical_point-{F}(V1,V2), P_end_time-{F}(V1,V3), environment-{F}(V4), P_start_time-{F}(V4,V2), P_critical_point-{F}(V4,V2), P_end_time-{F}(V4,V5), greater_or_equal-{F}(V5,V3), propagation_strategy-{F}(V6), P_first_movers-{F}(V6), propagation_strategy-{F}(V7), P_efficient_producers-{F}(V7), P_sk1-{F}(V0,V8), P_end_time-{F}(V8,V3) | P_sk2-{T}(V1,V0,V3)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #436: mergings( V7 == V19, V2 == V5, V5 == V8, V8 == V11, V11 == V17, V3 == V6, V6 == V9, V9 == V12, V12 == V18, V10 == V20, V14 == V15, V4 == V15; #423 ), references = 1, size of lhs = 17:
% 0.50/0.72     slow_change-{F}(V0), observational_period-{F}(V0), P_sk3-{F}(V0), environment-{F}(V1), in_environment-{F}(V0,V1), P_end_time-{F}(V1,V2), P_critical_point-{F}(V1,V2), environment-{F}(V3), P_critical_point-{F}(V3,V2), P_end_time-{F}(V3,V4), greater_or_equal-{F}(V4,V2), propagation_strategy-{F}(V5), P_first_movers-{F}(V5), propagation_strategy-{F}(V6), P_efficient_producers-{F}(V6), P_sk1-{F}(V0,V7), P_end_time-{F}(V7,V2) | FALSE
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #473: mergings( V1 == V26, V3 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V24, V4 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V25; #455 ), references = 1, size of lhs = 19:
% 0.50/0.72     slow_change-{F}(V0), observational_period-{F}(V0), P_sk3-{F}(V0), environment-{F}(V1), in_environment-{F}(V0,V1), P_critical_point-{F}(V1,V2), P_end_time-{F}(V1,V3), environment-{F}(V4), P_critical_point-{F}(V4,V2), P_start_time-{F}(V4,V5), greater-{F}(V2,V5), P_end_time-{F}(V4,V6), greater_or_equal-{F}(V6,V3), propagation_strategy-{F}(V7), P_first_movers-{F}(V7), propagation_strategy-{F}(V8), P_efficient_producers-{F}(V8), P_sk1-{F}(V0,V9), P_end_time-{F}(V9,V3) | P_sk2-{T}(V1,V0,V3)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #512: mergings( V27 == V33, V33 == V38, V2 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V25, V25 == V29, V29 == V31, V31 == V36, V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V26, V26 == V30, V30 == V32, V32 == V37, V28 == V39, V4 == V35; #481 ), references = 1, size of lhs = 17:
% 0.50/0.72     environment-{F}(V0), P_critical_point-{F}(V0,V1), P_end_time-{F}(V0,V2), greater_or_equal-{F}(V2,V3), slow_change-{F}(V4), observational_period-{F}(V4), P_sk3-{F}(V4), environment-{F}(V5), P_end_time-{F}(V5,V3), in_environment-{F}(V4,V5), P_critical_point-{F}(V5,V1), propagation_strategy-{F}(V6), P_first_movers-{F}(V6), propagation_strategy-{F}(V7), P_efficient_producers-{F}(V7), P_sk1-{F}(V4,V8), P_end_time-{F}(V8,V3) | P_start_time-{T}(V0,V1)
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #564: mergings( V24 == V31, V31 == V34, V34 == V36, V36 == V49, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V27, V27 == V29, V29 == V32, V32 == V40, V40 == V43, V43 == V45, V45 == V47, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V28, V28 == V30, V30 == V33, V33 == V41, V41 == V44, V44 == V46, V46 == V48, V25 == V35, V35 == V42, V42 == V50, V26 == V37, V37 == V39, V38 == V39; #519 ), references = 2, size of lhs = 13:
% 0.50/0.72     environment-{F}(V0), slow_change-{F}(V1), in_environment-{F}(V1,V0), observational_period-{F}(V1), P_sk3-{F}(V1), P_end_time-{F}(V0,V2), greater_or_equal-{F}(V2,V2), propagation_strategy-{F}(V3), P_first_movers-{F}(V3), propagation_strategy-{F}(V4), P_efficient_producers-{F}(V4), P_sk1-{F}(V1,V5), P_end_time-{F}(V5,V2) | FALSE
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #569: mergings( V2 == V5, V3 == V6; #566 ), references = 1, size of lhs = 10:
% 0.50/0.72     environment-{F}(V0), slow_change-{F}(V1), in_environment-{F}(V1,V0), observational_period-{F}(V1), P_sk3-{F}(V1), P_sk1-{F}(V1,V0), propagation_strategy-{F}(V2), P_first_movers-{F}(V2), propagation_strategy-{F}(V3), P_efficient_producers-{F}(V3) | FALSE
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #579: mergings( V2 == V4, V4 == V6, V6 == V8, V3 == V5, V5 == V7, V7 == V9; #572 ), references = 1, size of lhs = 7:
% 0.50/0.72     slow_change-{F}(V0), observational_period-{F}(V0), P_sk3-{F}(V0), propagation_strategy-{F}(V1), P_first_movers-{F}(V1), propagation_strategy-{F}(V2), P_efficient_producers-{F}(V2) | FALSE
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #593: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #582 ), references = 2, size of lhs = 4:
% 0.50/0.72     propagation_strategy-{F}(V0), P_first_movers-{F}(V0), propagation_strategy-{F}(V1), P_efficient_producers-{F}(V1) | FALSE
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #599: mergings( V1 == V2; #597 ), references = 1, size of lhs = 1:
% 0.50/0.72     P_first_movers-{F}(V0) | FALSE
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  #601: exists( #19, #597 ), references = 1, size of lhs = 0:
% 0.50/0.72     FALSE | FALSE
% 0.50/0.72        (used 0 times, uses = {})
% 0.50/0.72  
% 0.50/0.72  number of learnt formulas = 21
% 0.50/0.72  
% 0.50/0.72  
% 0.50/0.72  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.50/0.72  
% 0.50/0.72  randbase = 1
%------------------------------------------------------------------------------