TSTP Solution File: LAT022-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : LAT022-1 : TPTP v8.1.0. Released v2.2.0.
% 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 06:07:48 EDT 2022

% Result   : Unsatisfiable 23.64s 23.79s
% Output   : Refutation 23.64s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LAT022-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.14/0.33  % Computer : n023.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 300
% 0.14/0.33  % DateTime : Fri Jul 22 20:08:05 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 23.64/23.79  GeoParameters:
% 23.64/23.79  
% 23.64/23.79  tptp_input =     1
% 23.64/23.79  tptp_output =    0
% 23.64/23.79  nonempty =       1
% 23.64/23.79  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.64/23.79  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 23.64/23.79  
% 23.64/23.79  
% 23.64/23.79  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.64/23.79  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.64/23.79  
% 23.64/23.79  RuleSystem INPUT:
% 23.64/23.79  
% 23.64/23.79  Initial Rules:
% 23.64/23.79  #0: input, references = 4, size of lhs = 2:
% 23.64/23.79     P_meet-{F}(V0,V0,V1), V1 == V0 | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #1: input, references = 4, size of lhs = 2:
% 23.64/23.79     P_join-{F}(V0,V0,V1), V1 == V0 | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #2: input, references = 4, size of lhs = 3:
% 23.64/23.79     P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V0,V3), V2 == V3 | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #3: input, references = 4, size of lhs = 3:
% 23.64/23.79     P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #4: input, references = 4, size of lhs = 5:
% 23.64/23.79     P_meet-{F}(V0,V1,V3), P_meet-{F}(V3,V2,V4), P_meet-{F}(V1,V2,V5), P_meet-{F}(V0,V5,V6), V4 == V6 | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #5: input, references = 4, size of lhs = 5:
% 23.64/23.79     P_join-{F}(V0,V1,V3), P_join-{F}(V3,V2,V4), P_join-{F}(V1,V2,V5), P_join-{F}(V0,V5,V6), V4 == V6 | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #6: input, references = 5, size of lhs = 5:
% 23.64/23.79     P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V3,V4), P_meet-{F}(V0,V1,V5), P_join-{F}(V4,V5,V6), V6 == V4 | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #7: input, references = 5, size of lhs = 5:
% 23.64/23.79     P_meet-{F}(V1,V2,V3), P_join-{F}(V0,V3,V4), P_join-{F}(V0,V1,V5), P_meet-{F}(V4,V5,V6), V6 == V4 | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #8: input, references = 7, size of lhs = 7:
% 23.64/23.79     P_meet-{F}(V0,V1,V3), P_join-{F}(V0,V1,V4), P_meet-{F}(V2,V4,V5), P_join-{F}(V3,V5,V6), P_join-{F}(V2,V3,V7), P_meet-{F}(V4,V7,V8), V6 == V8 | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #9: input, references = 14, size of lhs = 8:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V1,V3,V4), P_meet-{F}(V0,V4,V7), P_meet-{F}(V0,V1,V6), P_join-{F}(V6,V3,V7) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #10: input, references = 24, size of lhs = 2:
% 23.64/23.79     #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #11: input, references = 26, size of lhs = 2:
% 23.64/23.79     #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #12: input, references = 4, size of lhs = 0:
% 23.64/23.79     FALSE | EXISTS V0: P_a-{T}(V0)
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #13: input, references = 4, size of lhs = 0:
% 23.64/23.79     FALSE | EXISTS V0: P_b-{T}(V0)
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #14: input, references = 5, size of lhs = 0:
% 23.64/23.79     FALSE | EXISTS V0: P_c-{T}(V0)
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  number of initial rules = 15
% 23.64/23.79  
% 23.64/23.79  Simplifiers:
% 23.64/23.79  #15: unsound, references = 3, size of lhs = 3:
% 23.64/23.79     P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #16: unsound, references = 3, size of lhs = 3:
% 23.64/23.79     P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #17: unsound, references = 3, size of lhs = 3:
% 23.64/23.79     P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #18: unsound, references = 3, size of lhs = 3:
% 23.64/23.79     P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #19: unsound, references = 3, size of lhs = 3:
% 23.64/23.79     P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  number of simplifiers = 5
% 23.64/23.79  
% 23.64/23.79  Learnt:
% 23.64/23.79  #21: exists( #10, #0 ), references = 11, size of lhs = 1:
% 23.64/23.79     #-{F} V0 | P_meet-{T}(V0,V0,V0)
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #23: exists( #11, #1 ), references = 7, size of lhs = 1:
% 23.64/23.79     #-{F} V0 | P_join-{T}(V0,V0,V0)
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #25: exists( #10, #2 ), references = 55, size of lhs = 1:
% 23.64/23.79     P_meet-{F}(V0,V1,V2) | P_meet-{T}(V1,V0,V2)
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #29: exists( #11, #3 ), references = 55, size of lhs = 1:
% 23.64/23.79     P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #30: exists( #11, #6 ), references = 9, size of lhs = 3:
% 23.64/23.79     P_join-{F}(V0,V1,V2), P_meet-{F}(V3,V2,V4), P_meet-{F}(V3,V0,V5) | P_join-{T}(V4,V5,V4)
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #31: exists( #11, #8 ), references = 13, size of lhs = 5:
% 23.64/23.79     P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V4,V3,V5), P_join-{F}(V4,V2,V6), P_meet-{F}(V3,V6,V7) | P_join-{T}(V2,V5,V7)
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #34: exists( #10, #7 ), references = 25, size of lhs = 3:
% 23.64/23.79     P_meet-{F}(V0,V1,V2), P_join-{F}(V3,V2,V4), P_join-{F}(V3,V0,V5) | P_meet-{T}(V4,V5,V4)
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #39: exists( #11, #37 ), references = 1, size of lhs = 7:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V1,V4,V0), P_meet-{F}(V4,V5,V3) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #42: exists( #10, #40 ), references = 1, size of lhs = 5:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V1), P_join-{F}(V1,V0,V0), P_c-{F}(V2) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #44: exists( #14, #41 ), references = 1, size of lhs = 4:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V1), P_join-{F}(V1,V0,V0) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #51: exists( #10, #4 ), references = 32, size of lhs = 3:
% 23.64/23.79     P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V3,V4), P_meet-{F}(V0,V4,V5) | P_meet-{T}(V2,V3,V5)
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #54: exists( #11, #5 ), references = 23, size of lhs = 3:
% 23.64/23.79     P_join-{F}(V0,V1,V2), P_join-{F}(V1,V3,V4), P_join-{F}(V0,V4,V5) | P_join-{T}(V2,V3,V5)
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #61: exists( #11, #59 ), references = 1, size of lhs = 8:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V0,V1,V4), P_join-{F}(V4,V3,V0), P_join-{F}(V3,V5,V0), P_meet-{F}(V1,V6,V5) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #74: exists( #11, #72 ), references = 4, size of lhs = 6:
% 23.64/23.79     P_meet-{F}(V0,V1,V2), P_join-{F}(V3,V0,V4), P_meet-{F}(V2,V4,V5), P_join-{F}(V3,V5,V6), P_join-{F}(V7,V8,V4), P_meet-{F}(V7,V8,V3) | P_join-{T}(V3,V2,V6)
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #83: exists( #10, #81 ), references = 1, size of lhs = 11:
% 23.64/23.79     P_a-{F}(V0), P_meet-{F}(V0,V0,V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V3,V4,V0), P_meet-{F}(V4,V5,V1), P_meet-{F}(V0,V6,V3), P_join-{F}(V6,V7,V1), P_join-{F}(V8,V9,V0), P_meet-{F}(V8,V9,V3) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #108: exists( #11, #106 ), references = 1, size of lhs = 10:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V0,V1,V4), P_meet-{F}(V1,V0,V4), P_join-{F}(V3,V5,V0), P_meet-{F}(V5,V6,V1), P_meet-{F}(V7,V8,V3), P_join-{F}(V7,V8,V0) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #111: exists( #10, #109 ), references = 1, size of lhs = 8:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V3,V4,V0), P_meet-{F}(V4,V5,V1), P_meet-{F}(V6,V7,V3), P_join-{F}(V6,V7,V0) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #130: exists( #10, #128 ), references = 1, size of lhs = 15:
% 23.64/23.79     P_a-{F}(V0), P_meet-{F}(V0,V0,V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V3,V4,V3), P_join-{F}(V4,V1,V5), P_meet-{F}(V1,V6,V5), P_meet-{F}(V6,V7,V0), P_join-{F}(V3,V8,V7), P_meet-{F}(V8,V9,V5), P_meet-{F}(V7,V10,V3), P_join-{F}(V10,V11,V5), P_join-{F}(V12,V13,V7), P_meet-{F}(V12,V13,V3) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #143: exists( #11, #141 ), references = 7, size of lhs = 11:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V0,V1,V4), P_join-{F}(V4,V3,V5), P_meet-{F}(V6,V0,V5), P_join-{F}(V1,V7,V6), P_meet-{F}(V7,V8,V3), P_join-{F}(V3,V9,V5), P_meet-{F}(V1,V10,V9) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #148: exists( #10, #146 ), references = 1, size of lhs = 8:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V1,V4,V1), P_meet-{F}(V4,V5,V3), P_meet-{F}(V0,V6,V3), P_join-{F}(V6,V7,V1) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #156: exists( #10, #8 ), references = 15, size of lhs = 5:
% 23.64/23.79     P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V4,V3,V5), P_join-{F}(V2,V5,V6), P_join-{F}(V4,V2,V7) | P_meet-{T}(V3,V7,V6)
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #169: exists( #11, #167 ), references = 2, size of lhs = 13:
% 23.64/23.79     P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V4,V3,V5), P_join-{F}(V4,V2,V6), P_join-{F}(V7,V8,V6), P_meet-{F}(V7,V8,V9), P_join-{F}(V3,V9,V10), P_meet-{F}(V6,V10,V11), P_join-{F}(V9,V2,V12), P_join-{F}(V12,V13,V14), P_meet-{F}(V13,V15,V5), P_meet-{F}(V11,V14,V16), V16 == V11 | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #175: exists( #11, #173 ), references = 6, size of lhs = 14:
% 23.64/23.79     P_meet-{F}(V0,V1,V2), P_join-{F}(V3,V0,V4), P_join-{F}(V3,V5,V6), P_join-{F}(V5,V7,V2), P_meet-{F}(V7,V8,V9), P_meet-{F}(V10,V11,V9), P_join-{F}(V12,V13,V11), P_meet-{F}(V12,V13,V14), P_join-{F}(V10,V14,V15), P_join-{F}(V16,V14,V6), P_join-{F}(V11,V16,V17), P_meet-{F}(V15,V17,V4), P_join-{F}(V18,V19,V15), P_meet-{F}(V18,V19,V16) | P_join-{T}(V2,V3,V4)
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #205: exists( #11, #203 ), references = 2, size of lhs = 23:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V1,V3,V4), P_meet-{F}(V0,V1,V5), P_join-{F}(V6,V6,V6), P_meet-{F}(V5,V6,V7), P_join-{F}(V6,V8,V6), P_meet-{F}(V8,V9,V5), P_join-{F}(V10,V6,V4), P_meet-{F}(V10,V11,V5), P_meet-{F}(V12,V11,V0), P_join-{F}(V6,V13,V12), P_meet-{F}(V13,V14,V5), P_join-{F}(V15,V6,V3), P_meet-{F}(V6,V16,V15), P_join-{F}(V6,V17,V15), P_meet-{F}(V17,V18,V7), P_join-{F}(V19,V20,V6), P_meet-{F}(V19,V20,V6), P_meet-{F}(V21,V22,V6), P_join-{F}(V21,V22,V11) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #213: exists( #11, #211 ), references = 1, size of lhs = 21:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V3,V3,V3), P_meet-{F}(V0,V1,V4), P_meet-{F}(V4,V3,V5), P_join-{F}(V3,V6,V3), P_meet-{F}(V6,V7,V4), P_meet-{F}(V1,V8,V4), P_meet-{F}(V9,V8,V0), P_join-{F}(V3,V10,V9), P_meet-{F}(V10,V11,V4), P_join-{F}(V12,V3,V3), P_meet-{F}(V3,V13,V12), P_join-{F}(V3,V14,V12), P_meet-{F}(V14,V15,V5), P_join-{F}(V16,V17,V3), P_meet-{F}(V16,V17,V3), P_meet-{F}(V18,V19,V3), P_join-{F}(V18,V19,V8) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #219: mergings( V4 == V5, V5 == V6; #216 ), references = 1, size of lhs = 13:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V0,V3,V0), P_meet-{F}(V3,V0,V0), P_join-{F}(V3,V0,V3), P_join-{F}(V3,V3,V3), P_meet-{F}(V3,V4,V3), P_join-{F}(V5,V6,V3), P_meet-{F}(V5,V6,V3), P_meet-{F}(V7,V8,V3), P_join-{F}(V7,V8,V0) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #238: exists( #10, #234 ), references = 7, size of lhs = 4:
% 23.64/23.79     P_join-{F}(V0,V1,V2), P_meet-{F}(V3,V0,V4), P_meet-{F}(V2,V5,V4), P_join-{F}(V3,V6,V5) | P_meet-{T}(V2,V3,V4)
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #239: exists( #10, #235 ), references = 1, size of lhs = 6:
% 23.64/23.79     P_join-{F}(V0,V1,V2), P_meet-{F}(V3,V0,V4), P_join-{F}(V3,V4,V5), P_meet-{F}(V2,V5,V6), P_meet-{F}(V7,V8,V4), P_join-{F}(V7,V8,V2) | P_meet-{T}(V2,V3,V6)
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #354: mergings( V1 == V15; #351 ), references = 1, size of lhs = 23:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V1,V3,V4), P_meet-{F}(V0,V1,V5), P_meet-{F}(V6,V0,V5), P_join-{F}(V6,V3,V4), P_join-{F}(V7,V8,V0), P_meet-{F}(V7,V8,V9), P_join-{F}(V10,V9,V4), P_meet-{F}(V10,V0,V11), P_join-{F}(V9,V12,V9), P_meet-{F}(V13,V9,V13), P_join-{F}(V13,V14,V13), P_join-{F}(V15,V13,V11), P_meet-{F}(V12,V16,V15), P_join-{F}(V14,V17,V15), P_meet-{F}(V17,V18,V13), P_meet-{F}(V19,V20,V3), P_join-{F}(V19,V20,V0), P_join-{F}(V21,V22,V9), P_meet-{F}(V21,V22,V9) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #356: mergings( V1 == V12; #352 ), references = 1, size of lhs = 43:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V0,V1,V4), P_join-{F}(V0,V5,V0), P_meet-{F}(V6,V0,V6), P_join-{F}(V6,V7,V6), P_join-{F}(V6,V8,V4), P_meet-{F}(V0,V9,V8), P_join-{F}(V10,V11,V0), P_meet-{F}(V10,V11,V0), P_join-{F}(V1,V12,V13), P_meet-{F}(V12,V14,V3), P_join-{F}(V15,V0,V13), P_join-{F}(V15,V5,V16), P_join-{F}(V0,V17,V13), P_meet-{F}(V17,V18,V6), P_meet-{F}(V0,V19,V20), P_join-{F}(V6,V20,V21), P_meet-{F}(V22,V23,V3), P_join-{F}(V22,V23,V24), P_meet-{F}(V25,V24,V4), P_join-{F}(V25,V3,V26), P_join-{F}(V27,V0,V26), P_meet-{F}(V27,V24,V28), P_join-{F}(V29,V6,V28), P_meet-{F}(V5,V30,V29), P_join-{F}(V7,V31,V29), P_meet-{F}(V31,V32,V6), P_join-{F}(V33,V34,V24), P_meet-{F}(V33,V34,V0), P_join-{F}(V35,V36,V0), P_meet-{F}(V35,V36,V0), P_meet-{F}(V37,V38,V21), P_join-{F}(V39,V40,V38), P_meet-{F}(V39,V40,V41), P_join-{F}(V37,V41,V42), P_join-{F}(V43,V41,V16), P_join-{F}(V38,V43,V44), P_meet-{F}(V42,V44,V13), P_join-{F}(V45,V46,V42), P_meet-{F}(V45,V46,V43) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #380: exists( #10, #375 ), references = 1, size of lhs = 10:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V1,V3,V4), P_meet-{F}(V0,V1,V5), P_meet-{F}(V6,V0,V5), P_join-{F}(V6,V3,V4), P_meet-{F}(V7,V8,V3), P_join-{F}(V7,V8,V0) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #381: exists( #10, #377 ), references = 1, size of lhs = 12:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V0,V1,V4), P_meet-{F}(V1,V5,V4), P_meet-{F}(V6,V0,V4), P_join-{F}(V6,V3,V7), P_join-{F}(V1,V8,V7), P_meet-{F}(V8,V9,V3), P_meet-{F}(V10,V11,V3), P_join-{F}(V10,V11,V0) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #388: exists( #10, #384 ), references = 1, size of lhs = 7:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V1,V3,V4), P_meet-{F}(V5,V6,V3), P_join-{F}(V5,V6,V0) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #393: exists( #11, #389 ), references = 1, size of lhs = 6:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V4,V5,V3), P_join-{F}(V4,V5,V0) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #402: exists( #11, #400 ), references = 1, size of lhs = 12:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V3,V4,V3), P_meet-{F}(V5,V0,V5), P_meet-{F}(V1,V5,V1), P_join-{F}(V1,V6,V1), P_meet-{F}(V3,V7,V6), P_join-{F}(V8,V9,V5), P_meet-{F}(V8,V9,V3) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #412: exists( #10, #408 ), references = 1, size of lhs = 8:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V1,V3,V4), P_meet-{F}(V0,V4,V3), P_meet-{F}(V0,V5,V3), P_join-{F}(V1,V6,V5) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #413: exists( #10, #409 ), references = 1, size of lhs = 11:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V4,V0,V3), P_join-{F}(V1,V5,V4), P_meet-{F}(V5,V6,V3), P_join-{F}(V3,V7,V3), P_meet-{F}(V1,V8,V7), P_meet-{F}(V0,V9,V3), P_join-{F}(V1,V10,V9) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #432: exists( #10, #428 ), references = 2, size of lhs = 13:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V1,V3,V4), P_meet-{F}(V0,V4,V5), P_meet-{F}(V0,V6,V0), P_join-{F}(V3,V6,V7), P_meet-{F}(V1,V7,V8), P_meet-{F}(V0,V8,V9), P_join-{F}(V3,V9,V5), P_join-{F}(V10,V11,V7), P_meet-{F}(V10,V11,V3) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #433: exists( #10, #429 ), references = 5, size of lhs = 15:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V1,V1,V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V0,V4,V0), P_join-{F}(V3,V4,V5), P_meet-{F}(V1,V5,V6), P_meet-{F}(V0,V6,V7), P_join-{F}(V3,V7,V8), P_meet-{F}(V9,V0,V8), P_join-{F}(V1,V10,V9), P_meet-{F}(V10,V11,V3), P_join-{F}(V12,V13,V5), P_meet-{F}(V12,V13,V3) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #460: exists( #11, #458 ), references = 1, size of lhs = 9:
% 23.64/23.79     P_join-{F}(V0,V0,V0), P_meet-{F}(V1,V0,V2), P_meet-{F}(V0,V3,V4), P_join-{F}(V1,V4,V5), P_join-{F}(V0,V6,V5), P_join-{F}(V1,V7,V6), P_meet-{F}(V7,V8,V2), P_join-{F}(V9,V10,V0), P_meet-{F}(V9,V10,V0) | P_join-{T}(V0,V1,V5)
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #504: exists( #11, #502 ), references = 1, size of lhs = 29:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V1,V1,V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V0,V4,V0), P_join-{F}(V3,V4,V5), P_meet-{F}(V1,V5,V6), P_meet-{F}(V0,V6,V7), P_join-{F}(V8,V0,V8), P_join-{F}(V3,V8,V3), P_meet-{F}(V9,V0,V9), P_join-{F}(V3,V10,V9), P_meet-{F}(V10,V11,V7), P_join-{F}(V1,V12,V13), P_meet-{F}(V12,V14,V3), P_join-{F}(V3,V15,V13), P_meet-{F}(V15,V16,V7), P_join-{F}(V17,V18,V5), P_meet-{F}(V17,V18,V3), P_join-{F}(V8,V19,V20), P_meet-{F}(V21,V22,V20), P_join-{F}(V21,V22,V23), P_join-{F}(V24,V3,V23), P_meet-{F}(V23,V25,V13), P_join-{F}(V26,V20,V25), P_meet-{F}(V24,V26,V7), P_join-{F}(V27,V28,V26), P_meet-{F}(V27,V28,V3) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #511: exists( #11, #509 ), references = 1, size of lhs = 21:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V1,V1,V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V0,V4,V0), P_join-{F}(V3,V4,V5), P_meet-{F}(V1,V5,V6), P_meet-{F}(V0,V6,V7), P_meet-{F}(V3,V8,V3), P_meet-{F}(V1,V9,V7), P_join-{F}(V10,V0,V10), P_meet-{F}(V1,V10,V7), P_join-{F}(V3,V10,V3), P_meet-{F}(V11,V0,V11), P_join-{F}(V3,V12,V11), P_meet-{F}(V12,V13,V7), P_join-{F}(V14,V15,V5), P_meet-{F}(V14,V15,V3), P_join-{F}(V16,V17,V10), P_meet-{F}(V16,V17,V3) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #520: exists( #10, #518 ), references = 1, size of lhs = 18:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V1,V1,V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V0,V4,V0), P_join-{F}(V3,V4,V5), P_join-{F}(V5,V0,V5), P_join-{F}(V3,V5,V3), P_meet-{F}(V5,V0,V5), P_meet-{F}(V3,V6,V3), P_meet-{F}(V5,V7,V5), P_join-{F}(V3,V7,V8), P_meet-{F}(V8,V0,V8), P_join-{F}(V9,V10,V5), P_meet-{F}(V9,V10,V3), P_join-{F}(V11,V12,V5), P_meet-{F}(V11,V12,V3) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #633: exists( #10, #631 ), references = 1, size of lhs = 30:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V1,V1,V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V0,V4,V0), P_join-{F}(V3,V4,V5), P_join-{F}(V1,V3,V6), P_meet-{F}(V7,V0,V7), P_meet-{F}(V5,V7,V5), P_meet-{F}(V1,V8,V3), P_join-{F}(V8,V9,V5), P_meet-{F}(V1,V10,V1), P_join-{F}(V3,V10,V11), P_join-{F}(V1,V11,V12), P_meet-{F}(V11,V1,V12), P_join-{F}(V0,V13,V5), P_meet-{F}(V1,V14,V3), P_meet-{F}(V5,V15,V14), P_join-{F}(V16,V17,V5), P_meet-{F}(V16,V17,V3), P_meet-{F}(V18,V19,V3), P_join-{F}(V20,V21,V19), P_meet-{F}(V20,V21,V22), P_join-{F}(V18,V22,V23), P_join-{F}(V24,V22,V6), P_join-{F}(V19,V24,V25), P_meet-{F}(V23,V25,V12), P_join-{F}(V26,V27,V23), P_meet-{F}(V26,V27,V24) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #645: exists( #11, #643 ), references = 1, size of lhs = 26:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V1,V1,V1), P_join-{F}(V1,V1,V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V0,V4,V0), P_join-{F}(V3,V4,V5), P_meet-{F}(V6,V0,V6), P_meet-{F}(V5,V6,V5), P_meet-{F}(V1,V7,V3), P_join-{F}(V7,V8,V5), P_join-{F}(V0,V9,V5), P_join-{F}(V1,V10,V1), P_meet-{F}(V10,V11,V3), P_meet-{F}(V1,V12,V3), P_meet-{F}(V5,V13,V12), P_join-{F}(V3,V14,V3), P_join-{F}(V3,V15,V3), P_meet-{F}(V1,V15,V14), P_join-{F}(V16,V17,V5), P_meet-{F}(V16,V17,V3), P_join-{F}(V18,V19,V15), P_meet-{F}(V18,V19,V3), P_join-{F}(V20,V21,V15), P_meet-{F}(V20,V21,V15) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #669: mergings( V6 == V12; #666 ), references = 1, size of lhs = 15:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V0,V4,V0), P_join-{F}(V3,V4,V5), P_meet-{F}(V6,V0,V6), P_meet-{F}(V5,V6,V5), P_join-{F}(V1,V3,V7), P_meet-{F}(V0,V7,V8), P_meet-{F}(V5,V7,V8), P_meet-{F}(V9,V10,V3), P_join-{F}(V9,V10,V5), P_join-{F}(V11,V12,V5), P_meet-{F}(V11,V12,V3) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #670: exists( #10, #665 ), references = 2, size of lhs = 18:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V1,V1,V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V0,V4,V0), P_join-{F}(V3,V4,V5), P_meet-{F}(V6,V0,V6), P_meet-{F}(V5,V6,V5), P_join-{F}(V1,V3,V7), P_meet-{F}(V5,V7,V8), P_meet-{F}(V9,V0,V8), P_join-{F}(V1,V10,V9), P_meet-{F}(V10,V11,V3), P_meet-{F}(V12,V13,V3), P_join-{F}(V12,V13,V5), P_join-{F}(V14,V15,V5), P_meet-{F}(V14,V15,V3) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #756: exists( #11, #752 ), references = 1, size of lhs = 24:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V0,V1,V4), P_meet-{F}(V1,V5,V4), P_meet-{F}(V6,V0,V6), P_join-{F}(V3,V7,V6), P_meet-{F}(V7,V8,V4), P_join-{F}(V1,V9,V10), P_meet-{F}(V9,V11,V3), P_join-{F}(V12,V3,V10), P_meet-{F}(V12,V13,V4), P_join-{F}(V0,V14,V13), P_join-{F}(V15,V16,V13), P_meet-{F}(V15,V16,V3), P_meet-{F}(V17,V18,V3), P_join-{F}(V17,V18,V19), P_meet-{F}(V20,V19,V4), P_join-{F}(V20,V3,V21), P_meet-{F}(V21,V22,V10), P_join-{F}(V19,V23,V22), P_meet-{F}(V24,V25,V23), P_join-{F}(V24,V25,V21) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #757: exists( #11, #750 ), references = 1, size of lhs = 29:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V1,V1,V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V0,V4,V0), P_join-{F}(V3,V4,V5), P_meet-{F}(V1,V5,V6), P_meet-{F}(V0,V6,V7), P_meet-{F}(V8,V0,V8), P_join-{F}(V3,V9,V8), P_meet-{F}(V9,V10,V7), P_join-{F}(V1,V11,V12), P_meet-{F}(V11,V13,V3), P_join-{F}(V14,V3,V12), P_meet-{F}(V14,V15,V7), P_join-{F}(V0,V16,V15), P_join-{F}(V17,V18,V15), P_meet-{F}(V17,V18,V3), P_join-{F}(V19,V20,V5), P_meet-{F}(V19,V20,V3), P_meet-{F}(V21,V22,V3), P_join-{F}(V21,V22,V23), P_meet-{F}(V24,V23,V7), P_join-{F}(V24,V3,V25), P_meet-{F}(V25,V26,V12), P_join-{F}(V23,V27,V26), P_meet-{F}(V28,V29,V27), P_join-{F}(V28,V29,V25) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #758: exists( #11, #751 ), references = 2, size of lhs = 32:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V1,V1,V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V0,V4,V0), P_join-{F}(V3,V4,V5), P_meet-{F}(V6,V0,V6), P_meet-{F}(V5,V6,V5), P_join-{F}(V1,V3,V7), P_join-{F}(V1,V8,V7), P_meet-{F}(V8,V9,V3), P_join-{F}(V0,V10,V5), P_meet-{F}(V11,V0,V11), P_join-{F}(V12,V13,V5), P_meet-{F}(V12,V13,V14), P_join-{F}(V14,V15,V11), P_join-{F}(V16,V14,V7), P_meet-{F}(V16,V5,V17), P_meet-{F}(V15,V18,V17), P_meet-{F}(V19,V20,V3), P_join-{F}(V19,V20,V5), P_join-{F}(V21,V22,V5), P_meet-{F}(V21,V22,V3), P_meet-{F}(V23,V24,V14), P_join-{F}(V23,V24,V25), P_meet-{F}(V26,V25,V17), P_join-{F}(V26,V14,V27), P_meet-{F}(V27,V28,V7), P_join-{F}(V25,V29,V28), P_meet-{F}(V30,V31,V29), P_join-{F}(V30,V31,V27) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #785: mergings( V9 == V23; #783 ), references = 2, size of lhs = 30:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V1,V1,V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V0,V4,V0), P_join-{F}(V3,V4,V5), P_meet-{F}(V6,V0,V6), P_meet-{F}(V5,V6,V5), P_join-{F}(V1,V3,V7), P_join-{F}(V1,V8,V7), P_meet-{F}(V8,V9,V3), P_join-{F}(V0,V10,V5), P_meet-{F}(V11,V0,V11), P_meet-{F}(V7,V12,V7), P_join-{F}(V5,V13,V12), P_join-{F}(V14,V5,V11), P_join-{F}(V15,V14,V7), P_join-{F}(V16,V17,V5), P_meet-{F}(V16,V17,V14), P_meet-{F}(V18,V19,V3), P_join-{F}(V18,V19,V5), P_join-{F}(V20,V21,V5), P_meet-{F}(V20,V21,V3), P_meet-{F}(V22,V23,V14), P_join-{F}(V22,V23,V5), P_meet-{F}(V24,V25,V13), P_meet-{F}(V24,V26,V27), P_meet-{F}(V26,V28,V25), P_join-{F}(V27,V28,V7) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #885: exists( #11, #880 ), references = 1, size of lhs = 32:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V1,V1,V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V0,V4,V0), P_join-{F}(V3,V4,V5), P_meet-{F}(V6,V0,V6), P_meet-{F}(V5,V6,V5), P_join-{F}(V1,V3,V7), P_join-{F}(V1,V8,V7), P_meet-{F}(V8,V9,V3), P_join-{F}(V0,V10,V5), P_meet-{F}(V11,V0,V11), P_join-{F}(V12,V5,V11), P_join-{F}(V13,V12,V7), P_join-{F}(V14,V5,V15), P_join-{F}(V16,V14,V17), P_join-{F}(V16,V18,V7), P_meet-{F}(V15,V19,V18), P_join-{F}(V20,V21,V5), P_meet-{F}(V20,V21,V12), P_meet-{F}(V22,V23,V3), P_join-{F}(V22,V23,V5), P_join-{F}(V24,V25,V5), P_meet-{F}(V24,V25,V3), P_meet-{F}(V26,V27,V12), P_join-{F}(V26,V27,V5), P_meet-{F}(V28,V29,V17), P_meet-{F}(V28,V30,V31), P_meet-{F}(V30,V32,V29), P_join-{F}(V31,V32,V7) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #891: mergings( V10 == V11; #889 ), references = 1, size of lhs = 22:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V1,V1,V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V0,V4,V0), P_join-{F}(V3,V4,V5), P_meet-{F}(V6,V0,V6), P_meet-{F}(V5,V6,V5), P_meet-{F}(V3,V7,V3), P_join-{F}(V0,V8,V5), P_join-{F}(V3,V5,V9), P_meet-{F}(V9,V0,V9), P_meet-{F}(V9,V10,V3), P_join-{F}(V11,V12,V5), P_meet-{F}(V11,V12,V3), P_meet-{F}(V13,V14,V3), P_join-{F}(V13,V14,V5), P_join-{F}(V15,V16,V5), P_meet-{F}(V15,V16,V3), P_meet-{F}(V17,V18,V3), P_join-{F}(V17,V18,V5) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #902: exists( #11, #900 ), references = 2, size of lhs = 14:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V1,V1,V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V3,V3,V3), P_meet-{F}(V3,V4,V3), P_join-{F}(V5,V0,V5), P_meet-{F}(V0,V5,V0), P_meet-{F}(V5,V3,V3), P_join-{F}(V5,V6,V0), P_meet-{F}(V6,V7,V3), P_join-{F}(V3,V8,V3), P_meet-{F}(V5,V9,V8) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #909: exists( #10, #907 ), references = 1, size of lhs = 7:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V1,V1,V1), P_c-{F}(V2), P_join-{F}(V3,V0,V3), P_join-{F}(V3,V3,V0), P_meet-{F}(V0,V3,V0) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #911: exists( #14, #908 ), references = 1, size of lhs = 6:
% 23.64/23.79     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V1,V1,V1), P_join-{F}(V2,V0,V2), P_join-{F}(V2,V2,V0), P_meet-{F}(V0,V2,V0) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #914: exists( #13, #912 ), references = 1, size of lhs = 4:
% 23.64/23.79     P_a-{F}(V0), P_join-{F}(V1,V0,V1), P_join-{F}(V1,V1,V0), P_meet-{F}(V0,V1,V0) | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  #918: exists( #12, #916 ), references = 1, size of lhs = 0:
% 23.64/23.79     FALSE | FALSE
% 23.64/23.79        (used 0 times, uses = {})
% 23.64/23.79  
% 23.64/23.79  number of learnt formulas = 58
% 23.64/23.79  
% 23.64/23.79  
% 23.64/23.79  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.64/23.79  
% 23.64/23.79  randbase = 1
%------------------------------------------------------------------------------