TSTP Solution File: PUZ031+2 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : PUZ031+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n023.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 06:14:20 EDT 2022

% Result   : Theorem 0.54s 0.75s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : PUZ031+2 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.11  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.31  % Computer : n023.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Fri Jul 22 07:19:43 EDT 2022
% 0.11/0.31  % CPUTime  : 
% 0.54/0.75  GeoParameters:
% 0.54/0.75  
% 0.54/0.75  tptp_input =     1
% 0.54/0.75  tptp_output =    0
% 0.54/0.75  nonempty =       1
% 0.54/0.75  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.75  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.54/0.75  
% 0.54/0.75  
% 0.54/0.75  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.75  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.75  
% 0.54/0.75  RuleSystem INPUT:
% 0.54/0.75  
% 0.54/0.75  Initial Rules:
% 0.54/0.75  #0: input, references = 4, size of lhs = 0:
% 0.54/0.75     FALSE | EXISTS V0: pppp0-{T}(V0)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #1: input, references = 4, size of lhs = 1:
% 0.54/0.75     pppp0-{F}(V0) | wolf-{T}(V0)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #2: input, references = 4, size of lhs = 0:
% 0.54/0.75     FALSE | EXISTS V0: pppp1-{T}(V0)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #3: input, references = 4, size of lhs = 1:
% 0.54/0.75     pppp1-{F}(V0) | fox-{T}(V0)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #4: input, references = 5, size of lhs = 0:
% 0.54/0.75     FALSE | EXISTS V0: pppp2-{T}(V0)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #5: input, references = 5, size of lhs = 1:
% 0.54/0.75     pppp2-{F}(V0) | bird-{T}(V0)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #6: input, references = 3, size of lhs = 0:
% 0.54/0.75     FALSE | EXISTS V0: pppp3-{T}(V0)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #7: input, references = 3, size of lhs = 1:
% 0.54/0.75     pppp3-{F}(V0) | caterpillar-{T}(V0)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #8: input, references = 8, size of lhs = 0:
% 0.54/0.75     FALSE | EXISTS V0: pppp4-{T}(V0)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #9: input, references = 8, size of lhs = 1:
% 0.54/0.75     pppp4-{F}(V0) | snail-{T}(V0)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #10: input, references = 4, size of lhs = 1:
% 0.54/0.75     wolf-{F}(V0) | animal-{T}(V0)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #11: input, references = 4, size of lhs = 1:
% 0.54/0.75     fox-{F}(V0) | animal-{T}(V0)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #12: input, references = 5, size of lhs = 1:
% 0.54/0.75     bird-{F}(V0) | animal-{T}(V0)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #13: input, references = 3, size of lhs = 1:
% 0.54/0.75     caterpillar-{F}(V0) | animal-{T}(V0)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #14: input, references = 8, size of lhs = 1:
% 0.54/0.75     snail-{F}(V0) | animal-{T}(V0)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #15: input, references = 11, size of lhs = 0:
% 0.54/0.75     FALSE | EXISTS V0: pppp5-{T}(V0)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #16: input, references = 13, size of lhs = 1:
% 0.54/0.75     pppp5-{F}(V0) | grain-{T}(V0)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #17: input, references = 13, size of lhs = 1:
% 0.54/0.75     grain-{F}(V0) | plant-{T}(V0)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #18: input, references = 7, size of lhs = 6:
% 0.54/0.75     animal-{F}(V0), plant-{F}(V1), animal-{F}(V2), much_smaller-{F}(V2,V0), plant-{F}(V3), eats-{F}(V2,V3) | eats-{T}(V0,V1), eats-{T}(V0,V2)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #19: input, references = 8, size of lhs = 2:
% 0.54/0.75     snail-{F}(V0), bird-{F}(V1) | much_smaller-{T}(V0,V1)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #20: input, references = 3, size of lhs = 2:
% 0.54/0.75     caterpillar-{F}(V0), bird-{F}(V1) | much_smaller-{T}(V0,V1)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #21: input, references = 5, size of lhs = 2:
% 0.54/0.75     fox-{F}(V0), bird-{F}(V1) | much_smaller-{T}(V1,V0)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #22: input, references = 4, size of lhs = 2:
% 0.54/0.75     wolf-{F}(V0), fox-{F}(V1) | much_smaller-{T}(V1,V0)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #23: input, references = 7, size of lhs = 3:
% 0.54/0.75     fox-{F}(V0), wolf-{F}(V1), eats-{F}(V1,V0) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #24: input, references = 11, size of lhs = 3:
% 0.54/0.75     grain-{F}(V0), wolf-{F}(V1), eats-{F}(V1,V0) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #25: input, references = 3, size of lhs = 2:
% 0.54/0.75     caterpillar-{F}(V0), bird-{F}(V1) | eats-{T}(V1,V0)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #26: input, references = 4, size of lhs = 3:
% 0.54/0.75     snail-{F}(V0), bird-{F}(V1), eats-{F}(V1,V0) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #27: input, references = 4, size of lhs = 1:
% 0.54/0.75     caterpillar-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #28: input, references = 5, size of lhs = 1:
% 0.54/0.75     pppp6-{F}(V0,V1) | eats-{T}(V0,V1)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #29: input, references = 5, size of lhs = 1:
% 0.54/0.75     pppp6-{F}(V0,V1) | plant-{T}(V1)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #30: input, references = 14, size of lhs = 1:
% 0.54/0.75     snail-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #31: input, references = 24, size of lhs = 1:
% 0.54/0.75     pppp7-{F}(V0,V1) | eats-{T}(V0,V1)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #32: input, references = 24, size of lhs = 1:
% 0.54/0.75     pppp7-{F}(V0,V1) | plant-{T}(V1)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #33: input, references = 14, size of lhs = 5:
% 0.54/0.75     animal-{F}(V0), animal-{F}(V1), eats-{F}(V1,V0), grain-{F}(V2), eats-{F}(V0,V2) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  number of initial rules = 34
% 0.54/0.75  
% 0.54/0.75  Simplifiers:
% 0.54/0.75  #34: unsound, references = 3, size of lhs = 3:
% 0.54/0.75     wolf-{F}(V0), wolf-{F}(V1), V0 == V1 | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #35: unsound, references = 3, size of lhs = 3:
% 0.54/0.75     fox-{F}(V0), fox-{F}(V1), V0 == V1 | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #36: unsound, references = 3, size of lhs = 3:
% 0.54/0.75     bird-{F}(V0), bird-{F}(V1), V0 == V1 | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #37: unsound, references = 3, size of lhs = 3:
% 0.54/0.75     caterpillar-{F}(V0), caterpillar-{F}(V1), V0 == V1 | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #38: unsound, references = 3, size of lhs = 3:
% 0.54/0.75     snail-{F}(V0), snail-{F}(V1), V0 == V1 | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #39: unsound, references = 3, size of lhs = 3:
% 0.54/0.75     grain-{F}(V0), grain-{F}(V1), V0 == V1 | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #40: unsound, references = 3, size of lhs = 3:
% 0.54/0.75     pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #41: unsound, references = 3, size of lhs = 3:
% 0.54/0.75     pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #42: unsound, references = 3, size of lhs = 3:
% 0.54/0.75     pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #43: unsound, references = 3, size of lhs = 3:
% 0.54/0.75     pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #44: unsound, references = 3, size of lhs = 3:
% 0.54/0.75     pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #45: unsound, references = 3, size of lhs = 3:
% 0.54/0.75     pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #46: unsound, references = 3, size of lhs = 3:
% 0.54/0.75     pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #47: unsound, references = 3, size of lhs = 3:
% 0.54/0.75     pppp6-{F}(V0,V1), pppp6-{F}(V2,V3), V0 == V2 | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #48: unsound, references = 3, size of lhs = 3:
% 0.54/0.75     pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #49: unsound, references = 3, size of lhs = 3:
% 0.54/0.75     pppp7-{F}(V0,V1), pppp7-{F}(V2,V3), V0 == V2 | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  number of simplifiers = 16
% 0.54/0.75  
% 0.54/0.75  Learnt:
% 0.54/0.75  #55: disj( #18, input ), references = 16, size of lhs = 8:
% 0.54/0.75     animal-{F}(V0), wolf-{F}(V0), plant-{F}(V1), animal-{F}(V2), much_smaller-{F}(V2,V0), fox-{F}(V2), plant-{F}(V3), eats-{F}(V2,V3) | eats-{T}(V0,V1)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #64: exists( #27, #60 ), references = 1, size of lhs = 8:
% 0.54/0.75     caterpillar-{F}(V0), animal-{F}(V0), fox-{F}(V0), animal-{F}(V1), wolf-{F}(V1), much_smaller-{F}(V0,V1), plant-{F}(V2), grain-{F}(V2) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #65: exists( #27, #61 ), references = 1, size of lhs = 10:
% 0.54/0.75     caterpillar-{F}(V0), animal-{F}(V0), fox-{F}(V0), wolf-{F}(V1), animal-{F}(V1), much_smaller-{F}(V0,V1), plant-{F}(V2), grain-{F}(V2), animal-{F}(V3), eats-{F}(V3,V1) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #72: exists( #15, #68 ), references = 1, size of lhs = 6:
% 0.54/0.75     caterpillar-{F}(V0), animal-{F}(V0), fox-{F}(V0), animal-{F}(V1), wolf-{F}(V1), much_smaller-{F}(V0,V1) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #98: mergings( V0 == V3; #94 ), references = 1, size of lhs = 7:
% 0.54/0.75     snail-{F}(V0), animal-{F}(V0), plant-{F}(V0), fox-{F}(V0), animal-{F}(V1), wolf-{F}(V1), much_smaller-{F}(V0,V1) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #99: exists( #30, #92 ), references = 1, size of lhs = 8:
% 0.54/0.75     snail-{F}(V0), animal-{F}(V0), fox-{F}(V0), animal-{F}(V1), wolf-{F}(V1), much_smaller-{F}(V0,V1), plant-{F}(V2), grain-{F}(V2) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #100: exists( #30, #93 ), references = 1, size of lhs = 8:
% 0.54/0.75     snail-{F}(V0), animal-{F}(V0), fox-{F}(V0), wolf-{F}(V1), plant-{F}(V1), animal-{F}(V1), grain-{F}(V1), much_smaller-{F}(V0,V1) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #108: exists( #15, #105 ), references = 1, size of lhs = 6:
% 0.54/0.75     snail-{F}(V0), animal-{F}(V0), fox-{F}(V0), animal-{F}(V1), wolf-{F}(V1), much_smaller-{F}(V0,V1) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #124: mergings( V4 == V5, V0 == V5, V5 == V6; #118 ), references = 7, size of lhs = 11:
% 0.54/0.75     animal-{F}(V0), much_smaller-{F}(V0,V1), animal-{F}(V1), wolf-{F}(V1), much_smaller-{F}(V1,V1), plant-{F}(V1), fox-{F}(V1), plant-{F}(V2), eats-{F}(V0,V2), plant-{F}(V3), plant-{F}(V4) | eats-{T}(V1,V0)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #127: mergings( V4 == V5, V0 == V5; #119 ), references = 5, size of lhs = 12:
% 0.54/0.75     animal-{F}(V0), much_smaller-{F}(V0,V1), fox-{F}(V1), animal-{F}(V1), wolf-{F}(V1), much_smaller-{F}(V1,V1), plant-{F}(V2), eats-{F}(V0,V2), plant-{F}(V3), plant-{F}(V4), grain-{F}(V4), plant-{F}(V5) | eats-{T}(V1,V0)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #130: mergings( V4 == V5, V0 == V5; #120 ), references = 1, size of lhs = 12:
% 0.54/0.75     animal-{F}(V0), much_smaller-{F}(V0,V1), fox-{F}(V1), wolf-{F}(V1), plant-{F}(V1), animal-{F}(V1), grain-{F}(V1), much_smaller-{F}(V1,V1), plant-{F}(V2), eats-{F}(V0,V2), plant-{F}(V3), plant-{F}(V4) | eats-{T}(V1,V0)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #157: mergings( V2 == V5, V5 == V6; #152 ), references = 1, size of lhs = 11:
% 0.54/0.75     snail-{F}(V0), animal-{F}(V0), plant-{F}(V0), much_smaller-{F}(V0,V1), animal-{F}(V1), wolf-{F}(V1), much_smaller-{F}(V1,V1), plant-{F}(V1), fox-{F}(V1), plant-{F}(V2), plant-{F}(V3) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #159: mergings( V2 == V5; #153 ), references = 1, size of lhs = 13:
% 0.54/0.75     snail-{F}(V0), animal-{F}(V0), plant-{F}(V0), much_smaller-{F}(V0,V1), plant-{F}(V1), fox-{F}(V1), animal-{F}(V1), wolf-{F}(V1), much_smaller-{F}(V1,V1), plant-{F}(V2), plant-{F}(V3), plant-{F}(V4), grain-{F}(V4) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #161: mergings( V2 == V5; #154 ), references = 1, size of lhs = 12:
% 0.54/0.75     snail-{F}(V0), animal-{F}(V0), plant-{F}(V0), much_smaller-{F}(V0,V1), fox-{F}(V1), wolf-{F}(V1), plant-{F}(V1), animal-{F}(V1), grain-{F}(V1), much_smaller-{F}(V1,V1), plant-{F}(V2), plant-{F}(V3) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #171: disj( #18, input ), references = 17, size of lhs = 8:
% 0.54/0.75     animal-{F}(V0), bird-{F}(V0), plant-{F}(V1), animal-{F}(V2), much_smaller-{F}(V2,V0), snail-{F}(V2), plant-{F}(V3), eats-{F}(V2,V3) | eats-{T}(V0,V1)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #180: exists( #30, #178 ), references = 1, size of lhs = 14:
% 0.54/0.75     bird-{F}(V0), animal-{F}(V0), much_smaller-{F}(V0,V0), snail-{F}(V0), plant-{F}(V1), grain-{F}(V1), wolf-{F}(V2), much_smaller-{F}(V2,V2), plant-{F}(V2), fox-{F}(V2), animal-{F}(V2), much_smaller-{F}(V0,V2), plant-{F}(V3), plant-{F}(V4) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #217: mergings( V3 == V0; #213 ), references = 1, size of lhs = 6:
% 0.54/0.75     animal-{F}(V0), bird-{F}(V0), plant-{F}(V1), animal-{F}(V1), much_smaller-{F}(V1,V0), snail-{F}(V1) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #218: exists( #30, #211 ), references = 1, size of lhs = 7:
% 0.54/0.75     bird-{F}(V0), plant-{F}(V0), animal-{F}(V0), grain-{F}(V0), animal-{F}(V1), much_smaller-{F}(V1,V0), snail-{F}(V1) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #220: mergings( V0 == V4; #215 ), references = 1, size of lhs = 11:
% 0.54/0.75     snail-{F}(V0), animal-{F}(V0), plant-{F}(V0), grain-{F}(V0), much_smaller-{F}(V0,V1), fox-{F}(V1), animal-{F}(V1), much_smaller-{F}(V1,V1), wolf-{F}(V1), plant-{F}(V2), plant-{F}(V3) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #245: mergings( V2 == V5; #243 ), references = 1, size of lhs = 13:
% 0.54/0.75     bird-{F}(V0), animal-{F}(V0), much_smaller-{F}(V0,V0), snail-{F}(V0), fox-{F}(V1), wolf-{F}(V1), much_smaller-{F}(V1,V1), animal-{F}(V1), much_smaller-{F}(V0,V1), plant-{F}(V2), plant-{F}(V3), grain-{F}(V3), plant-{F}(V4) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #249: exists( #15, #247 ), references = 1, size of lhs = 9:
% 0.54/0.75     bird-{F}(V0), animal-{F}(V0), much_smaller-{F}(V0,V0), snail-{F}(V0), fox-{F}(V1), wolf-{F}(V1), much_smaller-{F}(V1,V1), animal-{F}(V1), much_smaller-{F}(V0,V1) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #265: exists( #30, #263 ), references = 4, size of lhs = 9:
% 0.54/0.75     bird-{F}(V0), animal-{F}(V0), plant-{F}(V1), grain-{F}(V1), animal-{F}(V2), much_smaller-{F}(V2,V0), snail-{F}(V2), animal-{F}(V3), eats-{F}(V3,V0) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #296: exists( #30, #292 ), references = 1, size of lhs = 15:
% 0.54/0.75     bird-{F}(V0), animal-{F}(V0), plant-{F}(V1), grain-{F}(V1), animal-{F}(V2), much_smaller-{F}(V2,V0), snail-{F}(V2), wolf-{F}(V3), much_smaller-{F}(V3,V3), plant-{F}(V3), fox-{F}(V3), animal-{F}(V3), much_smaller-{F}(V0,V3), plant-{F}(V4), plant-{F}(V5) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #298: mergings( V0 == V7; #295 ), references = 1, size of lhs = 15:
% 0.54/0.75     bird-{F}(V0), animal-{F}(V0), wolf-{F}(V1), much_smaller-{F}(V1,V1), plant-{F}(V1), fox-{F}(V1), animal-{F}(V1), much_smaller-{F}(V0,V1), plant-{F}(V2), plant-{F}(V3), plant-{F}(V4), grain-{F}(V4), animal-{F}(V5), much_smaller-{F}(V5,V0), snail-{F}(V5) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #340: mergings( V3 == V6; #337 ), references = 1, size of lhs = 14:
% 0.54/0.75     bird-{F}(V0), animal-{F}(V0), animal-{F}(V1), much_smaller-{F}(V1,V0), snail-{F}(V1), fox-{F}(V2), wolf-{F}(V2), much_smaller-{F}(V2,V2), animal-{F}(V2), much_smaller-{F}(V0,V2), plant-{F}(V3), plant-{F}(V4), grain-{F}(V4), plant-{F}(V5) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #343: mergings( V0 == V8, V5 == V7; #338 ), references = 1, size of lhs = 14:
% 0.54/0.75     bird-{F}(V0), animal-{F}(V0), fox-{F}(V1), wolf-{F}(V1), much_smaller-{F}(V1,V1), animal-{F}(V1), much_smaller-{F}(V0,V1), plant-{F}(V2), plant-{F}(V3), plant-{F}(V4), grain-{F}(V4), animal-{F}(V5), much_smaller-{F}(V5,V0), snail-{F}(V5) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #350: exists( #15, #346 ), references = 1, size of lhs = 10:
% 0.54/0.75     bird-{F}(V0), animal-{F}(V0), animal-{F}(V1), much_smaller-{F}(V1,V0), snail-{F}(V1), fox-{F}(V2), wolf-{F}(V2), much_smaller-{F}(V2,V2), animal-{F}(V2), much_smaller-{F}(V0,V2) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #352: mergings( V1 == V4; #349 ), references = 1, size of lhs = 10:
% 0.54/0.75     bird-{F}(V0), animal-{F}(V0), fox-{F}(V1), wolf-{F}(V1), much_smaller-{F}(V1,V1), animal-{F}(V1), much_smaller-{F}(V0,V1), animal-{F}(V2), much_smaller-{F}(V2,V0), snail-{F}(V2) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #361: exists( #8, #357 ), references = 1, size of lhs = 7:
% 0.54/0.75     bird-{F}(V0), animal-{F}(V0), fox-{F}(V1), wolf-{F}(V1), much_smaller-{F}(V1,V1), animal-{F}(V1), much_smaller-{F}(V0,V1) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #370: exists( #4, #366 ), references = 1, size of lhs = 4:
% 0.54/0.75     fox-{F}(V0), wolf-{F}(V0), much_smaller-{F}(V0,V0), animal-{F}(V0) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #396: exists( #30, #394 ), references = 1, size of lhs = 11:
% 0.54/0.75     bird-{F}(V0), animal-{F}(V0), fox-{F}(V0), animal-{F}(V1), much_smaller-{F}(V1,V0), snail-{F}(V1), animal-{F}(V2), wolf-{F}(V2), much_smaller-{F}(V0,V2), plant-{F}(V3), grain-{F}(V3) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #400: exists( #15, #398 ), references = 2, size of lhs = 9:
% 0.54/0.75     bird-{F}(V0), animal-{F}(V0), fox-{F}(V0), animal-{F}(V1), much_smaller-{F}(V1,V0), snail-{F}(V1), animal-{F}(V2), wolf-{F}(V2), much_smaller-{F}(V0,V2) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #407: exists( #8, #405 ), references = 1, size of lhs = 6:
% 0.54/0.75     bird-{F}(V0), animal-{F}(V0), fox-{F}(V0), animal-{F}(V1), wolf-{F}(V1), much_smaller-{F}(V0,V1) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #413: exists( #15, #411 ), references = 1, size of lhs = 7:
% 0.54/0.75     bird-{F}(V0), animal-{F}(V0), animal-{F}(V1), much_smaller-{F}(V1,V0), snail-{F}(V1), animal-{F}(V2), eats-{F}(V2,V0) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #418: exists( #8, #416 ), references = 1, size of lhs = 4:
% 0.54/0.75     bird-{F}(V0), animal-{F}(V0), animal-{F}(V1), eats-{F}(V1,V0) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #443: exists( #30, #439 ), references = 1, size of lhs = 8:
% 0.54/0.75     animal-{F}(V0), bird-{F}(V0), wolf-{F}(V0), plant-{F}(V1), grain-{F}(V1), animal-{F}(V2), much_smaller-{F}(V2,V0), snail-{F}(V2) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #444: exists( #30, #440 ), references = 1, size of lhs = 8:
% 0.54/0.75     animal-{F}(V0), bird-{F}(V0), wolf-{F}(V0), plant-{F}(V1), fox-{F}(V1), animal-{F}(V2), much_smaller-{F}(V2,V0), snail-{F}(V2) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #450: exists( #15, #447 ), references = 2, size of lhs = 6:
% 0.54/0.75     animal-{F}(V0), bird-{F}(V0), wolf-{F}(V0), animal-{F}(V1), much_smaller-{F}(V1,V0), snail-{F}(V1) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #457: exists( #8, #455 ), references = 1, size of lhs = 3:
% 0.54/0.75     animal-{F}(V0), bird-{F}(V0), wolf-{F}(V0) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #465: disj( #18, exists( #8, #416 ) ), references = 3, size of lhs = 7:
% 0.54/0.75     plant-{F}(V0), plant-{F}(V1), bird-{F}(V2), eats-{F}(V2,V1), animal-{F}(V2), much_smaller-{F}(V2,V3), animal-{F}(V3) | eats-{T}(V3,V0)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #466: disj( #18, exists( #15, #411 ) ), references = 1, size of lhs = 10:
% 0.54/0.75     plant-{F}(V0), plant-{F}(V1), bird-{F}(V2), eats-{F}(V2,V1), animal-{F}(V2), much_smaller-{F}(V2,V3), animal-{F}(V3), animal-{F}(V4), much_smaller-{F}(V4,V2), snail-{F}(V4) | eats-{T}(V3,V0)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #467: disj( #18, input ), references = 1, size of lhs = 8:
% 0.54/0.75     plant-{F}(V0), plant-{F}(V1), animal-{F}(V2), eats-{F}(V2,V1), much_smaller-{F}(V2,V3), animal-{F}(V3), grain-{F}(V4), eats-{F}(V2,V4) | eats-{T}(V3,V0)
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #519: exists( #30, #515 ), references = 1, size of lhs = 15:
% 0.54/0.75     animal-{F}(V0), snail-{F}(V0), much_smaller-{F}(V0,V1), bird-{F}(V1), animal-{F}(V1), plant-{F}(V2), much_smaller-{F}(V1,V3), animal-{F}(V3), fox-{F}(V3), animal-{F}(V4), wolf-{F}(V4), much_smaller-{F}(V3,V4), plant-{F}(V5), grain-{F}(V5), plant-{F}(V6) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #520: exists( #30, #516 ), references = 1, size of lhs = 17:
% 0.54/0.75     animal-{F}(V0), snail-{F}(V0), much_smaller-{F}(V0,V1), bird-{F}(V1), animal-{F}(V1), plant-{F}(V2), much_smaller-{F}(V1,V3), animal-{F}(V3), fox-{F}(V3), wolf-{F}(V4), animal-{F}(V4), much_smaller-{F}(V3,V4), plant-{F}(V5), grain-{F}(V5), plant-{F}(V6), animal-{F}(V7), eats-{F}(V7,V4) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #527: exists( #15, #523 ), references = 2, size of lhs = 11:
% 0.54/0.75     animal-{F}(V0), snail-{F}(V0), much_smaller-{F}(V0,V1), bird-{F}(V1), animal-{F}(V1), much_smaller-{F}(V1,V2), animal-{F}(V2), fox-{F}(V2), animal-{F}(V3), wolf-{F}(V3), much_smaller-{F}(V2,V3) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #528: exists( #15, #524 ), references = 1, size of lhs = 13:
% 0.54/0.75     animal-{F}(V0), snail-{F}(V0), much_smaller-{F}(V0,V1), bird-{F}(V1), animal-{F}(V1), much_smaller-{F}(V1,V2), animal-{F}(V2), fox-{F}(V2), wolf-{F}(V3), animal-{F}(V3), much_smaller-{F}(V2,V3), animal-{F}(V4), eats-{F}(V4,V3) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #541: exists( #8, #537 ), references = 1, size of lhs = 8:
% 0.54/0.75     bird-{F}(V0), animal-{F}(V0), much_smaller-{F}(V0,V1), animal-{F}(V1), fox-{F}(V1), animal-{F}(V2), wolf-{F}(V2), much_smaller-{F}(V1,V2) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #546: exists( #4, #544 ), references = 1, size of lhs = 5:
% 0.54/0.75     animal-{F}(V0), fox-{F}(V0), animal-{F}(V1), wolf-{F}(V1), much_smaller-{F}(V0,V1) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #551: exists( #2, #549 ), references = 1, size of lhs = 2:
% 0.54/0.75     animal-{F}(V0), wolf-{F}(V0) | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  #555: exists( #0, #553 ), references = 1, size of lhs = 0:
% 0.54/0.75     FALSE | FALSE
% 0.54/0.75        (used 0 times, uses = {})
% 0.54/0.75  
% 0.54/0.75  number of learnt formulas = 50
% 0.54/0.75  
% 0.54/0.75  
% 0.54/0.75  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.75  
% 0.54/0.75  randbase = 1
%------------------------------------------------------------------------------