TSTP Solution File: SWV244-2 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SWV244-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n011.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 06:21:14 EDT 2022

% Result   : Unsatisfiable 6.96s 7.17s
% Output   : Refutation 6.96s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV244-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n011.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 15:59:51 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 6.96/7.17  GeoParameters:
% 6.96/7.17  
% 6.96/7.17  tptp_input =     1
% 6.96/7.17  tptp_output =    0
% 6.96/7.17  nonempty =       1
% 6.96/7.17  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.96/7.17  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 6.96/7.17  
% 6.96/7.17  
% 6.96/7.17  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.96/7.17  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.96/7.17  
% 6.96/7.17  RuleSystem INPUT:
% 6.96/7.17  
% 6.96/7.17  Initial Rules:
% 6.96/7.17  #0: input, references = 27, size of lhs = 6:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V2,V3,V4,V5) | c_in-{T}(V0,V5,V4)
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #1: input, references = 10, size of lhs = 10:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V2,V3,V4,V5), P_c_union-{F}(V1,V3,V4,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_union-{F}(V7,V2,V4,V8), c_in-{F}(V0,V8,V4) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #2: input, references = 8, size of lhs = 11:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V2,V3,V4,V5), P_c_union-{F}(V1,V3,V4,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_union-{F}(V7,V2,V4,V8), P_c_Message_Oanalz-{F}(V10,V11), c_in-{F}(V9,V10,V4) | c_in-{T}(V9,V11,V4)
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #3: input, references = 23, size of lhs = 11:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V2,V3,V4,V5), P_c_union-{F}(V1,V3,V4,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_union-{F}(V7,V2,V4,V8), c_in-{F}(V9,V10,V11), P_c_union-{F}(V12,V10,V11,V13) | c_in-{T}(V9,V13,V11)
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #4: input, references = 4, size of lhs = 11:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V2,V3,V4,V5), P_c_union-{F}(V1,V3,V4,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_union-{F}(V7,V2,V4,V8), c_in-{F}(V9,V11,V10), P_c_union-{F}(V11,V12,V10,V13) | c_in-{T}(V9,V13,V10)
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #5: input, references = 8, size of lhs = 11:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V2,V3,V4,V5), P_c_union-{F}(V1,V3,V4,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_union-{F}(V7,V2,V4,V8), P_c_union-{F}(V11,V12,V10,V13), c_in-{F}(V9,V13,V10) | c_in-{T}(V9,V11,V10), c_in-{T}(V9,V12,V10)
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #6: input, references = 4, size of lhs = 0:
% 6.96/7.17     FALSE | EXISTS V0: P_v_X-{T}(V0)
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #7: input, references = 42, size of lhs = 3:
% 6.96/7.17     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_union-{T}(V0,V1,V2,V3)
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #8: input, references = 4, size of lhs = 1:
% 6.96/7.17     #-{F} V0 | EXISTS V1: P_c_Message_Osynth-{T}(V0,V1)
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #9: input, references = 4, size of lhs = 0:
% 6.96/7.17     FALSE | EXISTS V0: P_v_G-{T}(V0)
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #10: input, references = 4, size of lhs = 0:
% 6.96/7.17     FALSE | EXISTS V0: P_v_H-{T}(V0)
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #11: input, references = 4, size of lhs = 0:
% 6.96/7.17     FALSE | EXISTS V0: P_tc_Message_Omsg-{T}(V0)
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #12: input, references = 11, size of lhs = 1:
% 6.96/7.17     #-{F} V0 | EXISTS V1: P_c_Message_Oanalz-{T}(V0,V1)
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  number of initial rules = 13
% 6.96/7.17  
% 6.96/7.17  Simplifiers:
% 6.96/7.17  #13: unsound, references = 3, size of lhs = 3:
% 6.96/7.17     c_in-{F}(V0,V1,V2), c_in-{F}(V3,V4,V5), V0 == V3 | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #14: unsound, references = 3, size of lhs = 3:
% 6.96/7.17     c_in-{F}(V0,V1,V2), c_in-{F}(V3,V4,V5), V2 == V5 | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #15: unsound, references = 3, size of lhs = 3:
% 6.96/7.17     P_v_X-{F}(V0), P_v_X-{F}(V1), V0 == V1 | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #16: unsound, references = 3, size of lhs = 3:
% 6.96/7.17     P_c_union-{F}(V0,V1,V2,V3), P_c_union-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #17: unsound, references = 3, size of lhs = 3:
% 6.96/7.17     P_c_Message_Osynth-{F}(V0,V1), P_c_Message_Osynth-{F}(V0,V3), V1 == V3 | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #18: unsound, references = 3, size of lhs = 3:
% 6.96/7.17     P_v_G-{F}(V0), P_v_G-{F}(V1), V0 == V1 | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #19: unsound, references = 3, size of lhs = 3:
% 6.96/7.17     P_v_H-{F}(V0), P_v_H-{F}(V1), V0 == V1 | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #20: unsound, references = 3, size of lhs = 3:
% 6.96/7.17     P_tc_Message_Omsg-{F}(V0), P_tc_Message_Omsg-{F}(V1), V0 == V1 | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #21: unsound, references = 3, size of lhs = 3:
% 6.96/7.17     P_c_Message_Oanalz-{F}(V0,V1), P_c_Message_Oanalz-{F}(V0,V3), V1 == V3 | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  number of simplifiers = 9
% 6.96/7.17  
% 6.96/7.17  Learnt:
% 6.96/7.17  #39: mergings( V4 == V7, V7 == V12, V5 == V8, V8 == V13, V6 == V9, V10 == V15, V11 == V16, V9 == V14, V15 == V18, V16 == V19; #28 ), references = 3, size of lhs = 10:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), c_in-{F}(V0,V5,V4), P_c_Message_Oanalz-{F}(V5,V2), P_c_union-{F}(V2,V3,V4,V6), P_c_union-{F}(V1,V3,V4,V7), P_c_Message_Oanalz-{F}(V7,V8) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #49: mergings( V2 == V6, V6 == V9, V3 == V7, V7 == V10, V5 == V8, V13 == V14, V8 == V11, V14 == V16; #40 ), references = 8, size of lhs = 9:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), c_in-{F}(V0,V6,V4), P_c_Message_Oanalz-{F}(V6,V2), P_c_union-{F}(V2,V3,V4,V7) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #55: mergings( V4 == V6, V6 == V7, V8 == V9, V9 == V11; #50 ), references = 8, size of lhs = 8:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), c_in-{F}(V0,V5,V4), P_c_Message_Oanalz-{F}(V5,V2), P_c_union-{F}(V2,V3,V4,V6) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #74: mergings( V4 == V7, V5 == V8, V1 == V9, V6 == V10, V11 == V15; #66 ), references = 1, size of lhs = 11:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), c_in-{F}(V0,V7,V4), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Oanalz-{F}(V8,V2), P_c_union-{F}(V2,V3,V4,V9) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #81: mergings( V4 == V7, V5 == V8, V1 == V9, V6 == V10, V11 == V16, V12 == V15; #67 ), references = 1, size of lhs = 11:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), c_in-{F}(V0,V5,V4), P_c_Message_Oanalz-{F}(V5,V6), P_c_Message_Oanalz-{F}(V6,V2), P_c_union-{F}(V1,V3,V4,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_union-{F}(V2,V3,V4,V9) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #89: mergings( V4 == V7, V5 == V8, V1 == V9, V6 == V10, V11 == V15, V12 == V16, V0 == V17; #68 ), references = 1, size of lhs = 11:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), c_in-{F}(V0,V5,V4), P_c_Message_Oanalz-{F}(V5,V6), P_c_Message_Oanalz-{F}(V6,V2), P_c_union-{F}(V2,V3,V4,V7), P_c_union-{F}(V1,V3,V4,V8), P_c_Message_Oanalz-{F}(V8,V9) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #98: mergings( V2 == V6, V3 == V7, V4 == V8, V5 == V9, V11 == V14; #90 ), references = 1, size of lhs = 10:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), c_in-{F}(V0,V6,V4), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Oanalz-{F}(V7,V2), P_c_union-{F}(V2,V3,V4,V8) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #105: mergings( V2 == V6, V3 == V7, V4 == V8, V5 == V9, V11 == V15, V0 == V14; #91 ), references = 1, size of lhs = 10:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), c_in-{F}(V0,V5,V4), P_c_Message_Oanalz-{F}(V5,V6), P_c_Message_Oanalz-{F}(V6,V2), P_c_union-{F}(V1,V3,V4,V7), P_c_union-{F}(V2,V3,V4,V8) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #111: mergings( V2 == V6, V3 == V7, V4 == V8, V5 == V9, V11 == V14; #92 ), references = 1, size of lhs = 10:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), c_in-{F}(V0,V6,V4), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Oanalz-{F}(V7,V2), P_c_union-{F}(V2,V3,V4,V8) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #118: mergings( V4 == V6, V5 == V7, V8 == V11; #113 ), references = 2, size of lhs = 9:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), c_in-{F}(V0,V5,V4), P_c_Message_Oanalz-{F}(V5,V6), P_c_Message_Oanalz-{F}(V6,V2), P_c_union-{F}(V2,V3,V4,V7) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #122: mergings( V4 == V6, V5 == V7, V8 == V11; #114 ), references = 2, size of lhs = 9:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), c_in-{F}(V0,V5,V4), P_c_Message_Oanalz-{F}(V5,V6), P_c_Message_Oanalz-{F}(V6,V2), P_c_union-{F}(V2,V3,V4,V7) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #128: mergings( V4 == V6, V0 == V7, V5 == V8, V1 == V9, V10 == V13; #112 ), references = 1, size of lhs = 9:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), c_in-{F}(V0,V5,V4), P_c_Message_Oanalz-{F}(V5,V6), P_c_Message_Oanalz-{F}(V6,V2), P_c_union-{F}(V2,V3,V4,V7) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #138: mergings( V0 == V13, V1 == V14, V2 == V15, V3 == V16, V4 == V11, V5 == V17; #129 ), references = 7, size of lhs = 12:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), P_c_union-{F}(V6,V2,V4,V7), P_c_Message_Oanalz-{F}(V8,V2), P_c_union-{F}(V2,V3,V4,V9), c_in-{F}(V0,V10,V4), P_c_union-{F}(V8,V11,V4,V10) | c_in-{T}(V0,V11,V4)
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #146: mergings( V0 == V13, V1 == V14, V2 == V15, V3 == V16, V4 == V11, V5 == V18, V6 == V17; #130 ), references = 1, size of lhs = 12:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), P_c_union-{F}(V6,V2,V4,V7), P_c_Message_Oanalz-{F}(V8,V2), P_c_union-{F}(V2,V3,V4,V9), c_in-{F}(V0,V10,V4), P_c_union-{F}(V8,V11,V4,V10) | c_in-{T}(V0,V11,V4)
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #153: mergings( V0 == V13, V1 == V14, V2 == V15, V3 == V16, V4 == V11, V5 == V18; #131 ), references = 4, size of lhs = 13:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), P_c_union-{F}(V6,V2,V4,V7), P_c_union-{F}(V2,V3,V4,V8), c_in-{F}(V0,V9,V4), P_c_Message_Oanalz-{F}(V10,V2), P_c_Message_Oanalz-{F}(V11,V10), P_c_union-{F}(V11,V12,V4,V9) | c_in-{T}(V0,V12,V4)
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #166: mergings( V4 == V9, V5 == V10, V6 == V11, V7 == V12, V8 == V13; #160 ), references = 7, size of lhs = 9:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V2,V3,V4,V5), P_c_union-{F}(V1,V3,V4,V6), P_c_Message_Oanalz-{F}(V6,V7), c_in-{F}(V0,V7,V4) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #177: mergings( V4 == V8, V1 == V9, V5 == V10, V12 == V15; #171 ), references = 1, size of lhs = 12:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_c_Message_Oanalz-{F}(V3,V2), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V1,V4,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Oanalz-{F}(V8,V2), P_c_union-{F}(V3,V8,V5,V9), c_in-{F}(V0,V9,V5), P_c_union-{F}(V2,V4,V5,V10) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #183: mergings( V4 == V8, V1 == V9, V5 == V10, V11 == V13, V12 == V16; #172 ), references = 1, size of lhs = 12:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_c_Message_Oanalz-{F}(V3,V2), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V1,V4,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Oanalz-{F}(V8,V2), P_c_union-{F}(V3,V8,V5,V9), c_in-{F}(V0,V9,V5), P_c_union-{F}(V2,V4,V5,V10) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #191: mergings( V4 == V7, V5 == V8, V1 == V9, V6 == V10, V11 == V15, V12 == V16, V0 == V14; #170 ), references = 7, size of lhs = 10:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), c_in-{F}(V0,V5,V4), P_c_Message_Oanalz-{F}(V5,V6), P_c_union-{F}(V2,V3,V4,V7), P_c_union-{F}(V1,V3,V4,V8), P_c_Message_Oanalz-{F}(V8,V6) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #198: mergings( V2 == V7, V3 == V8, V4 == V9, V11 == V14; #192 ), references = 1, size of lhs = 11:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_c_Message_Oanalz-{F}(V3,V2), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V1,V4,V5,V6), P_c_Message_Oanalz-{F}(V7,V2), P_c_union-{F}(V3,V7,V5,V8), c_in-{F}(V0,V8,V5), P_c_union-{F}(V2,V4,V5,V9) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #204: mergings( V2 == V7, V3 == V8, V4 == V9, V0 == V12, V11 == V15; #193 ), references = 1, size of lhs = 11:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_c_Message_Oanalz-{F}(V3,V2), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V1,V4,V5,V6), P_c_Message_Oanalz-{F}(V7,V2), P_c_union-{F}(V3,V7,V5,V8), c_in-{F}(V0,V8,V5), P_c_union-{F}(V2,V4,V5,V9) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #209: mergings( V4 == V7, V8 == V11; #206 ), references = 2, size of lhs = 10:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_c_Message_Oanalz-{F}(V3,V2), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_Message_Oanalz-{F}(V6,V2), P_c_union-{F}(V3,V6,V5,V7), c_in-{F}(V0,V7,V5), P_c_union-{F}(V2,V4,V5,V8) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #214: mergings( V0 == V7, V4 == V8, V1 == V9, V10 == V13; #205 ), references = 2, size of lhs = 10:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_c_Message_Oanalz-{F}(V3,V2), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_Message_Oanalz-{F}(V6,V2), P_c_union-{F}(V3,V6,V5,V7), c_in-{F}(V0,V7,V5), P_c_union-{F}(V2,V4,V5,V8) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #220: mergings( V4 == V6; #217 ), references = 1, size of lhs = 7:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_c_Message_Oanalz-{F}(V2,V2), P_v_H-{F}(V3), P_c_Message_Oanalz-{F}(V3,V2), P_tc_Message_Omsg-{F}(V4) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #236: mergings( V4 == V8, V1 == V9, V5 == V11, V13 == V17; #230 ), references = 1, size of lhs = 14:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_c_Message_Oanalz-{F}(V3,V2), P_c_Message_Oanalz-{F}(V4,V2), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V1,V5,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Oanalz-{F}(V9,V2), P_c_union-{F}(V4,V9,V6,V10), P_c_union-{F}(V3,V10,V6,V11), c_in-{F}(V0,V11,V6), P_c_union-{F}(V2,V5,V6,V12) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #241: mergings( V4 == V8, V1 == V9, V5 == V11, V13 == V17; #231 ), references = 1, size of lhs = 14:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_c_Message_Oanalz-{F}(V3,V2), P_c_Message_Oanalz-{F}(V4,V2), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V1,V5,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Oanalz-{F}(V9,V2), P_c_union-{F}(V4,V9,V6,V10), P_c_union-{F}(V3,V10,V6,V11), c_in-{F}(V0,V11,V6), P_c_union-{F}(V2,V5,V6,V12) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #248: mergings( V2 == V7, V3 == V8, V4 == V10, V12 == V16; #242 ), references = 1, size of lhs = 13:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_c_Message_Oanalz-{F}(V3,V2), P_c_Message_Oanalz-{F}(V4,V2), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V1,V5,V6,V7), P_c_Message_Oanalz-{F}(V8,V2), P_c_union-{F}(V4,V8,V6,V9), P_c_union-{F}(V3,V9,V6,V10), c_in-{F}(V0,V10,V6), P_c_union-{F}(V2,V5,V6,V11) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #253: mergings( V2 == V7, V3 == V8, V4 == V10, V12 == V16; #243 ), references = 1, size of lhs = 13:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_c_Message_Oanalz-{F}(V3,V2), P_c_Message_Oanalz-{F}(V4,V2), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V1,V5,V6,V7), P_c_Message_Oanalz-{F}(V8,V2), P_c_union-{F}(V4,V8,V6,V9), P_c_union-{F}(V3,V9,V6,V10), c_in-{F}(V0,V10,V6), P_c_union-{F}(V2,V5,V6,V11) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #260: mergings( V0 == V7, V4 == V8, V1 == V10, V11 == V15; #254 ), references = 1, size of lhs = 12:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_c_Message_Oanalz-{F}(V3,V2), P_c_Message_Oanalz-{F}(V4,V2), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_Message_Oanalz-{F}(V7,V2), P_c_union-{F}(V4,V7,V6,V8), P_c_union-{F}(V3,V8,V6,V9), c_in-{F}(V0,V9,V6), P_c_union-{F}(V2,V5,V6,V10) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #265: mergings( V0 == V7, V4 == V8, V1 == V10, V11 == V15; #255 ), references = 1, size of lhs = 12:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_c_Message_Oanalz-{F}(V3,V2), P_c_Message_Oanalz-{F}(V4,V2), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_Message_Oanalz-{F}(V7,V2), P_c_union-{F}(V4,V7,V6,V8), P_c_union-{F}(V3,V8,V6,V9), c_in-{F}(V0,V9,V6), P_c_union-{F}(V2,V5,V6,V10) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #272: mergings( V4 == V5, V5 == V7; #268 ), references = 1, size of lhs = 9:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_c_Message_Oanalz-{F}(V2,V2), P_c_Message_Oanalz-{F}(V3,V2), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_Message_Oanalz-{F}(V6,V2), P_c_union-{F}(V3,V6,V5,V4) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #275: mergings( V4 == V5, V5 == V7; #269 ), references = 1, size of lhs = 9:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_c_Message_Oanalz-{F}(V2,V2), P_c_Message_Oanalz-{F}(V3,V2), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_Message_Oanalz-{F}(V6,V2), P_c_union-{F}(V3,V6,V5,V4) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #308: mergings( V7 == V12, V4 == V8, V8 == V13, V1 == V14, V5 == V9, V10 == V17, V11 == V16, V9 == V15, V16 == V19, V17 == V18, V0 == V20; #295 ), references = 1, size of lhs = 12:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_c_Message_Oanalz-{F}(V3,V2), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V2,V4,V5,V6), P_c_union-{F}(V1,V4,V5,V7), P_c_Message_Oanalz-{F}(V7,V8), c_in-{F}(V0,V9,V5), P_c_union-{F}(V3,V10,V5,V9), P_c_union-{F}(V11,V10,V5,V8) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #320: mergings( V7 == V12, V4 == V8, V8 == V13, V1 == V14, V5 == V9, V10 == V17, V11 == V16, V9 == V15, V16 == V19, V17 == V18, V0 == V20; #296 ), references = 1, size of lhs = 13:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_c_Message_Oanalz-{F}(V3,V2), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V2,V4,V5,V6), P_c_union-{F}(V1,V4,V5,V7), P_c_Message_Oanalz-{F}(V7,V8), c_in-{F}(V0,V9,V5), P_c_union-{F}(V3,V10,V5,V9), P_c_Message_Oanalz-{F}(V11,V8), P_c_union-{F}(V12,V10,V5,V11) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #330: mergings( V6 == V9, V2 == V7, V7 == V10, V3 == V11, V4 == V8, V14 == V15, V8 == V12, V15 == V16; #321 ), references = 1, size of lhs = 11:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_c_Message_Oanalz-{F}(V3,V2), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V1,V4,V5,V6), P_c_union-{F}(V2,V4,V5,V7), c_in-{F}(V0,V8,V5), P_c_union-{F}(V3,V9,V5,V8), P_c_union-{F}(V10,V9,V5,V6) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #336: mergings( V6 == V7, V9 == V10, V4 == V8, V10 == V11; #331 ), references = 3, size of lhs = 9:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_c_Message_Oanalz-{F}(V3,V2), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V2,V4,V5,V6), P_c_union-{F}(V3,V4,V5,V7), c_in-{F}(V0,V7,V5) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #341: mergings( V5 == V6, V4 == V7; #338 ), references = 1, size of lhs = 6:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_c_Message_Oanalz-{F}(V2,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #357: mergings( V4 == V7, V1 == V8, V5 == V9, V11 == V13; #350 ), references = 1, size of lhs = 13:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), P_c_Message_Oanalz-{F}(V7,V2), P_c_union-{F}(V2,V3,V4,V8), c_in-{F}(V0,V9,V4), P_c_union-{F}(V10,V7,V4,V9), P_c_Message_Oanalz-{F}(V10,V11), P_c_Message_Oanalz-{F}(V11,V2) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #363: mergings( V4 == V7, V1 == V8, V5 == V9, V10 == V12, V11 == V14; #351 ), references = 1, size of lhs = 13:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), P_c_Message_Oanalz-{F}(V7,V2), P_c_union-{F}(V2,V3,V4,V8), c_in-{F}(V0,V9,V4), P_c_union-{F}(V10,V7,V4,V9), P_c_Message_Oanalz-{F}(V10,V11), P_c_Message_Oanalz-{F}(V11,V2) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #368: mergings( V4 == V7, V1 == V8, V5 == V10, V12 == V13; #352 ), references = 1, size of lhs = 14:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_c_Message_Oanalz-{F}(V3,V2), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V1,V4,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_union-{F}(V2,V4,V5,V8), P_c_union-{F}(V3,V4,V5,V9), c_in-{F}(V0,V10,V5), P_c_union-{F}(V11,V9,V5,V10), P_c_Message_Oanalz-{F}(V11,V12), P_c_Message_Oanalz-{F}(V12,V2) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #377: mergings( V4 == V5, V5 == V7; #372 ), references = 2, size of lhs = 10:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_c_Message_Oanalz-{F}(V3,V2), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), P_c_Message_Oanalz-{F}(V2,V7), P_c_Message_Oanalz-{F}(V7,V2) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #381: mergings( V4 == V5, V5 == V7, V8 == V10; #373 ), references = 2, size of lhs = 10:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_c_Message_Oanalz-{F}(V3,V2), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), P_c_Message_Oanalz-{F}(V2,V7), P_c_Message_Oanalz-{F}(V7,V2) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #384: mergings( V4 == V5, V5 == V7; #374 ), references = 1, size of lhs = 11:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_c_Message_Oanalz-{F}(V3,V2), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V3,V4,V5,V4), P_c_union-{F}(V1,V4,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Oanalz-{F}(V2,V8), P_c_Message_Oanalz-{F}(V8,V2) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #387: exists( #12, #377 ), references = 1, size of lhs = 9:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_c_Message_Oanalz-{F}(V3,V2), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V2,V6), P_c_Message_Oanalz-{F}(V6,V2) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #388: exists( #12, #381 ), references = 1, size of lhs = 9:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_c_Message_Oanalz-{F}(V3,V2), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V2,V6), P_c_Message_Oanalz-{F}(V6,V2) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #391: exists( #7, #385 ), references = 1, size of lhs = 8:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_c_Message_Oanalz-{F}(V3,V2), P_tc_Message_Omsg-{F}(V4), P_c_Message_Oanalz-{F}(V2,V5), P_c_Message_Oanalz-{F}(V5,V2) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #392: exists( #7, #386 ), references = 1, size of lhs = 8:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_c_Message_Oanalz-{F}(V3,V2), P_tc_Message_Omsg-{F}(V4), P_c_Message_Oanalz-{F}(V2,V5), P_c_Message_Oanalz-{F}(V5,V2) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #407: mergings( V4 == V9, V5 == V10, V1 == V11, V6 == V12, V2 == V13, V7 == V15; #399 ), references = 1, size of lhs = 12:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), c_in-{F}(V0,V7,V4), P_c_union-{F}(V2,V3,V4,V8), P_c_Message_Oanalz-{F}(V9,V2), P_c_Message_Oanalz-{F}(V10,V9), P_c_union-{F}(V11,V7,V4,V10) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #414: mergings( V4 == V9, V5 == V10, V1 == V11, V6 == V12, V2 == V13, V7 == V15; #400 ), references = 1, size of lhs = 12:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), c_in-{F}(V0,V7,V4), P_c_union-{F}(V2,V3,V4,V8), P_c_Message_Oanalz-{F}(V9,V2), P_c_Message_Oanalz-{F}(V10,V9), P_c_union-{F}(V11,V7,V4,V10) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #436: mergings( V0 == V13, V1 == V14, V2 == V15, V3 == V16, V4 == V11, V5 == V17, V6 == V18, V7 == V9; #425 ), references = 1, size of lhs = 11:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V2,V3,V4,V5), P_c_union-{F}(V1,V3,V4,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_union-{F}(V7,V2,V4,V8), c_in-{F}(V0,V9,V4), P_c_union-{F}(V7,V10,V4,V9) | c_in-{T}(V0,V10,V4)
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #445: mergings( V0 == V13, V1 == V14, V2 == V15, V3 == V16, V4 == V11, V5 == V19, V6 == V17, V7 == V18; #426 ), references = 4, size of lhs = 14:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), P_c_union-{F}(V6,V2,V4,V7), P_c_union-{F}(V2,V3,V4,V8), c_in-{F}(V0,V9,V4), P_c_Message_Oanalz-{F}(V10,V2), P_c_Message_Oanalz-{F}(V11,V10), P_c_union-{F}(V12,V13,V4,V9), P_c_union-{F}(V14,V12,V4,V11) | c_in-{T}(V0,V13,V4)
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #454: mergings( V0 == V13, V1 == V14, V2 == V15, V3 == V16, V4 == V11, V5 == V19, V6 == V17, V7 == V18; #427 ), references = 1, size of lhs = 14:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), P_c_union-{F}(V6,V2,V4,V7), P_c_union-{F}(V2,V3,V4,V8), c_in-{F}(V0,V9,V4), P_c_Message_Oanalz-{F}(V10,V2), P_c_Message_Oanalz-{F}(V11,V10), P_c_union-{F}(V12,V13,V4,V9), P_c_union-{F}(V14,V12,V4,V11) | c_in-{T}(V0,V13,V4)
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #473: mergings( V4 == V12, V5 == V9, V1 == V10, V9 == V13, V10 == V14, V6 == V11, V11 == V15, V17 == V22, V2 == V16, V7 == V22, V8 == V18, V0 == V19; #458 ), references = 1, size of lhs = 11:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), P_c_Message_Oanalz-{F}(V7,V2), P_c_union-{F}(V6,V7,V4,V8), c_in-{F}(V0,V8,V4), P_c_union-{F}(V2,V3,V4,V9) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #487: mergings( V4 == V12, V5 == V9, V1 == V10, V9 == V13, V10 == V14, V6 == V11, V11 == V15, V17 == V23, V18 == V20, V2 == V16, V7 == V23, V8 == V20, V0 == V19; #459 ), references = 1, size of lhs = 11:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), P_c_Message_Oanalz-{F}(V7,V2), P_c_union-{F}(V6,V7,V4,V8), c_in-{F}(V0,V8,V4), P_c_union-{F}(V2,V3,V4,V9) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #500: mergings( V4 == V12, V5 == V9, V1 == V10, V9 == V13, V10 == V14, V6 == V11, V11 == V16, V18 == V21, V2 == V17, V7 == V21, V8 == V19, V0 == V20; #460 ), references = 1, size of lhs = 12:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_c_Message_Oanalz-{F}(V3,V2), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V1,V4,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_union-{F}(V2,V4,V5,V8), P_c_union-{F}(V3,V4,V5,V9), P_c_union-{F}(V7,V9,V5,V10), c_in-{F}(V0,V10,V5) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #513: mergings( V5 == V10, V4 == V6, V6 == V9, V7 == V12, V9 == V11, V8 == V0; #504 ), references = 1, size of lhs = 8:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_c_Message_Oanalz-{F}(V3,V2), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V2) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #521: mergings( V5 == V10, V4 == V6, V6 == V9, V7 == V12, V9 == V11, V12 == V13, V8 == V0; #505 ), references = 1, size of lhs = 8:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_c_Message_Oanalz-{F}(V3,V2), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V2) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #528: mergings( V5 == V10, V4 == V6, V6 == V9, V7 == V13, V9 == V11, V8 == V0; #506 ), references = 1, size of lhs = 9:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_c_Message_Oanalz-{F}(V3,V2), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V3,V4,V5,V4), P_c_union-{F}(V1,V4,V5,V6), P_c_Message_Oanalz-{F}(V6,V2) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #549: mergings( V4 == V5, V5 == V7; #544 ), references = 1, size of lhs = 12:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_c_Message_Oanalz-{F}(V3,V2), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), P_c_union-{F}(V6,V2,V4,V7), P_c_Message_Oanalz-{F}(V8,V2), P_c_Message_Oanalz-{F}(V9,V8), P_c_union-{F}(V10,V2,V4,V9) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #553: mergings( V4 == V5, V5 == V7, V8 == V11; #545 ), references = 1, size of lhs = 12:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_c_Message_Oanalz-{F}(V3,V2), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), P_c_union-{F}(V6,V2,V4,V7), P_c_Message_Oanalz-{F}(V8,V2), P_c_Message_Oanalz-{F}(V9,V8), P_c_union-{F}(V10,V2,V4,V9) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #558: mergings( V4 == V5, V5 == V7, V8 == V11, V9 == V12; #546 ), references = 1, size of lhs = 12:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_c_Message_Oanalz-{F}(V3,V2), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), P_c_union-{F}(V6,V2,V4,V7), P_c_Message_Oanalz-{F}(V8,V2), P_c_Message_Oanalz-{F}(V9,V8), P_c_union-{F}(V10,V2,V4,V9) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #575: mergings( V0 == V13, V1 == V14, V2 == V15, V3 == V16, V4 == V11, V5 == V17; #566 ), references = 4, size of lhs = 12:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), P_c_union-{F}(V6,V2,V4,V7), P_c_Message_Oanalz-{F}(V8,V2), P_c_union-{F}(V2,V3,V4,V9), c_in-{F}(V0,V10,V4), P_c_union-{F}(V11,V8,V4,V10) | c_in-{T}(V0,V11,V4)
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #583: mergings( V0 == V13, V1 == V14, V2 == V15, V3 == V16, V4 == V11, V5 == V18, V6 == V17; #567 ), references = 1, size of lhs = 12:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), P_c_union-{F}(V6,V2,V4,V7), P_c_Message_Oanalz-{F}(V8,V2), P_c_union-{F}(V2,V3,V4,V9), c_in-{F}(V0,V10,V4), P_c_union-{F}(V11,V8,V4,V10) | c_in-{T}(V0,V11,V4)
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #592: mergings( V0 == V13, V1 == V14, V2 == V15, V3 == V16, V4 == V11, V5 == V17, V6 == V18, V7 == V19; #568 ), references = 1, size of lhs = 12:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_Message_Oanalz-{F}(V5,V2), P_c_union-{F}(V2,V3,V4,V6), P_c_union-{F}(V1,V3,V4,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_union-{F}(V8,V2,V4,V9), c_in-{F}(V0,V10,V4), P_c_union-{F}(V11,V5,V4,V10) | c_in-{T}(V0,V11,V4)
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #603: mergings( V5 == V11, V4 == V6, V6 == V10, V10 == V12, V7 == V13, V8 == V14, V9 == V0; #595 ), references = 1, size of lhs = 9:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_c_Message_Oanalz-{F}(V3,V2), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), P_c_union-{F}(V6,V2,V4,V2) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #629: mergings( V6 == V11, V4 == V5, V5 == V7, V8 == V13, V7 == V12, V9 == V14, V10 == V15; #619 ), references = 1, size of lhs = 11:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_c_Message_Oanalz-{F}(V3,V2), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), P_c_union-{F}(V6,V2,V4,V7), P_c_Message_Oanalz-{F}(V8,V2), P_c_union-{F}(V9,V2,V4,V8) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #638: mergings( V6 == V11, V4 == V5, V5 == V7, V8 == V13, V7 == V12, V13 == V16, V9 == V14, V10 == V15; #620 ), references = 1, size of lhs = 11:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_c_Message_Oanalz-{F}(V3,V2), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), P_c_union-{F}(V6,V2,V4,V7), P_c_Message_Oanalz-{F}(V8,V2), P_c_union-{F}(V9,V2,V4,V8) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #649: mergings( V6 == V11, V4 == V5, V5 == V7, V8 == V13, V7 == V12, V13 == V16, V9 == V14, V10 == V15, V14 == V17, V15 == V18; #621 ), references = 1, size of lhs = 10:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_c_Message_Oanalz-{F}(V3,V2), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), P_c_union-{F}(V6,V2,V4,V7), P_c_union-{F}(V8,V2,V4,V7) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #657: mergings( V6 == V8, V4 == V5, V5 == V7, V11 == V12, V7 == V9, V12 == V13; #650 ), references = 2, size of lhs = 8:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_c_Message_Oanalz-{F}(V3,V2), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #659: exists( #12, #657 ), references = 1, size of lhs = 7:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_c_Message_Oanalz-{F}(V3,V2), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #661: exists( #7, #658 ), references = 1, size of lhs = 6:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_c_Message_Oanalz-{F}(V3,V2), P_tc_Message_Omsg-{F}(V4) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #691: mergings( V0 == V14, V14 == V13, V1 == V15, V2 == V16, V15 == V23, V16 == V24, V3 == V17, V17 == V25, V4 == V18, V5 == V19, V6 == V20, V18 == V11, V19 == V26, V20 == V27, V7 == V21, V8 == V22, V21 == V28; #672 ), references = 1, size of lhs = 12:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V2,V3,V4,V5), P_c_union-{F}(V1,V3,V4,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_union-{F}(V7,V2,V4,V8), c_in-{F}(V0,V9,V4), P_c_union-{F}(V10,V11,V4,V9), P_c_union-{F}(V12,V10,V4,V7) | c_in-{T}(V0,V11,V4)
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #709: mergings( V0 == V14, V14 == V13, V1 == V15, V2 == V16, V15 == V23, V16 == V24, V3 == V17, V17 == V25, V4 == V18, V5 == V19, V6 == V20, V18 == V11, V19 == V26, V20 == V27, V7 == V21, V8 == V22, V21 == V28; #673 ), references = 1, size of lhs = 13:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V2,V3,V4,V5), P_c_union-{F}(V1,V3,V4,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_union-{F}(V7,V2,V4,V8), c_in-{F}(V0,V9,V4), P_c_Message_Oanalz-{F}(V10,V7), P_c_union-{F}(V11,V12,V4,V9), P_c_union-{F}(V13,V11,V4,V10) | c_in-{T}(V0,V12,V4)
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #736: mergings( V5 == V10, V10 == V16, V16 == V21, V4 == V6, V6 == V11, V7 == V12, V11 == V15, V12 == V23, V15 == V17, V18 == V23, V17 == V22, V23 == V25, V8 == V13, V9 == V14, V13 == V19, V14 == V20, V19 == V24, V24 == V26; #716 ), references = 1, size of lhs = 10:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), P_c_union-{F}(V6,V2,V4,V7), P_c_union-{F}(V8,V2,V4,V6), P_c_union-{F}(V9,V3,V4,V6) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #755: mergings( V5 == V10, V10 == V16, V16 == V21, V4 == V6, V6 == V11, V7 == V12, V11 == V15, V12 == V23, V15 == V17, V18 == V23, V17 == V22, V23 == V25, V8 == V13, V9 == V14, V13 == V19, V14 == V20, V19 == V24, V24 == V26; #717 ), references = 2, size of lhs = 11:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), P_c_union-{F}(V6,V2,V4,V7), P_c_union-{F}(V8,V2,V4,V6), P_c_Message_Oanalz-{F}(V9,V6), P_c_union-{F}(V10,V3,V4,V9) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #785: mergings( V0 == V14, V14 == V13, V1 == V15, V2 == V16, V15 == V23, V16 == V24, V3 == V17, V17 == V25, V4 == V18, V5 == V19, V6 == V20, V18 == V11, V19 == V26, V20 == V27, V7 == V21, V8 == V22, V21 == V28; #766 ), references = 2, size of lhs = 12:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V2,V3,V4,V5), P_c_union-{F}(V1,V3,V4,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_union-{F}(V7,V2,V4,V8), c_in-{F}(V0,V9,V4), P_c_union-{F}(V10,V11,V4,V9), P_c_union-{F}(V12,V11,V4,V7) | c_in-{T}(V0,V10,V4)
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #803: mergings( V0 == V14, V14 == V13, V1 == V15, V2 == V16, V15 == V23, V16 == V24, V3 == V17, V17 == V25, V4 == V18, V5 == V19, V6 == V20, V18 == V11, V19 == V26, V20 == V27, V7 == V21, V8 == V22, V21 == V28; #767 ), references = 6, size of lhs = 13:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V2,V3,V4,V5), P_c_union-{F}(V1,V3,V4,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_union-{F}(V7,V2,V4,V8), c_in-{F}(V0,V9,V4), P_c_Message_Oanalz-{F}(V10,V7), P_c_union-{F}(V11,V12,V4,V9), P_c_union-{F}(V13,V12,V4,V10) | c_in-{T}(V0,V11,V4)
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #821: mergings( V5 == V10, V10 == V16, V4 == V6, V6 == V11, V7 == V12, V11 == V15, V12 == V18, V15 == V17, V18 == V20, V8 == V13, V9 == V14, V13 == V19, V19 == V21, V14 == V0; #806 ), references = 1, size of lhs = 9:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), P_c_union-{F}(V6,V2,V4,V2), P_c_union-{F}(V7,V3,V4,V6) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #840: mergings( V6 == V11, V4 == V5, V5 == V7, V8 == V13, V7 == V12, V13 == V16, V9 == V14, V10 == V15, V14 == V17, V15 == V18; #829 ), references = 1, size of lhs = 10:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), P_c_union-{F}(V6,V2,V4,V7), P_c_union-{F}(V8,V3,V4,V6), P_c_union-{F}(V9,V2,V4,V7) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #848: mergings( V6 == V8, V4 == V5, V5 == V7, V11 == V12, V7 == V9, V12 == V13; #841 ), references = 1, size of lhs = 8:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), P_c_union-{F}(V7,V3,V4,V6) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #850: exists( #7, #755 ), references = 1, size of lhs = 10:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), P_c_union-{F}(V7,V2,V4,V6), P_c_Message_Oanalz-{F}(V8,V6), P_c_union-{F}(V9,V3,V4,V8) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #859: mergings( V4 == V5, V5 == V7, V8 == V11, V9 == V12; #854 ), references = 1, size of lhs = 11:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), P_c_Message_Oanalz-{F}(V2,V6), P_c_union-{F}(V6,V2,V4,V7), P_c_Message_Oanalz-{F}(V8,V6), P_c_union-{F}(V9,V3,V4,V8) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #865: mergings( V4 == V5, V5 == V7, V9 == V10, V0 == V11; #860 ), references = 1, size of lhs = 10:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), P_c_Message_Oanalz-{F}(V2,V6), P_c_Message_Oanalz-{F}(V7,V6), P_c_union-{F}(V8,V3,V4,V7) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #878: mergings( V4 == V9, V5 == V10, V1 == V11, V6 == V12, V2 == V13, V7 == V15; #869 ), references = 1, size of lhs = 11:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), c_in-{F}(V0,V7,V4), P_c_union-{F}(V2,V3,V4,V8), P_c_Message_Oanalz-{F}(V9,V2), P_c_union-{F}(V10,V7,V4,V9) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #886: mergings( V4 == V9, V5 == V10, V1 == V11, V6 == V12, V2 == V13, V7 == V16, V8 == V15; #870 ), references = 1, size of lhs = 11:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), c_in-{F}(V0,V5,V4), P_c_union-{F}(V1,V3,V4,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_union-{F}(V2,V3,V4,V8), P_c_Message_Oanalz-{F}(V9,V2), P_c_union-{F}(V10,V5,V4,V9) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #893: mergings( V4 == V7, V1 == V8, V5 == V9, V10 == V12, V11 == V13, V0 == V14; #871 ), references = 2, size of lhs = 12:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V2,V3,V4,V5), P_c_union-{F}(V1,V3,V4,V6), P_c_Message_Oanalz-{F}(V6,V7), c_in-{F}(V0,V8,V4), P_c_union-{F}(V7,V9,V4,V8), P_c_Message_Oanalz-{F}(V10,V7), P_c_union-{F}(V11,V9,V4,V10) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #902: mergings( V4 == V5, V5 == V7, V8 == V10, V9 == V0; #897 ), references = 1, size of lhs = 9:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V2), P_c_Message_Oanalz-{F}(V6,V2), P_c_union-{F}(V7,V3,V4,V6) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #916: mergings( V4 == V9, V5 == V10, V1 == V11, V6 == V12, V2 == V13, V7 == V15, V8 == V16, V0 == V17; #906 ), references = 2, size of lhs = 11:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), c_in-{F}(V0,V5,V4), P_c_union-{F}(V2,V3,V4,V6), P_c_union-{F}(V1,V3,V4,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Oanalz-{F}(V9,V8), P_c_union-{F}(V10,V5,V4,V9) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #928: mergings( V4 == V7, V1 == V8, V5 == V9, V10 == V12, V11 == V13, V0 == V14; #921 ), references = 1, size of lhs = 15:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V2,V3,V4,V5), P_c_union-{F}(V1,V3,V4,V6), P_c_Message_Oanalz-{F}(V6,V7), c_in-{F}(V0,V8,V4), P_c_Message_Oanalz-{F}(V9,V7), P_c_Message_Oanalz-{F}(V10,V7), P_c_union-{F}(V11,V12,V4,V9), P_c_union-{F}(V13,V12,V4,V8), P_c_union-{F}(V7,V14,V4,V13), P_c_union-{F}(V15,V14,V4,V10) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #947: mergings( V6 == V11, V4 == V7, V7 == V12, V5 == V8, V9 == V14, V10 == V15, V8 == V13, V14 == V16, V15 == V17; #935 ), references = 1, size of lhs = 12:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V2,V3,V4,V5), P_c_union-{F}(V1,V3,V4,V6), P_c_Message_Oanalz-{F}(V6,V7), c_in-{F}(V0,V8,V4), P_c_union-{F}(V2,V9,V4,V8), P_c_Message_Oanalz-{F}(V10,V7), P_c_union-{F}(V11,V9,V4,V10) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #959: mergings( V6 == V11, V4 == V7, V7 == V12, V1 == V13, V5 == V8, V9 == V15, V10 == V16, V8 == V14, V15 == V17, V16 == V18, V0 == V19; #936 ), references = 1, size of lhs = 15:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V2,V3,V4,V5), P_c_union-{F}(V1,V3,V4,V6), P_c_Message_Oanalz-{F}(V6,V7), c_in-{F}(V0,V8,V4), P_c_Message_Oanalz-{F}(V9,V7), P_c_Message_Oanalz-{F}(V10,V7), P_c_union-{F}(V11,V12,V4,V8), P_c_union-{F}(V13,V12,V4,V9), P_c_union-{F}(V14,V11,V4,V15), P_c_union-{F}(V16,V15,V4,V10) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #969: mergings( V6 == V8, V4 == V5, V5 == V7, V10 == V12, V7 == V9, V12 == V13; #962 ), references = 1, size of lhs = 9:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_Message_Oanalz-{F}(V5,V6), P_c_Message_Oanalz-{F}(V7,V6), P_c_union-{F}(V8,V3,V4,V7) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #975: mergings( V5 == V7, V2 == V4, V4 == V6, V6 == V8; #970 ), references = 1, size of lhs = 7:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_union-{F}(V1,V3,V4,V5), P_c_union-{F}(V6,V3,V4,V5) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #979: mergings( V6 == V7, V4 == V0; #976 ), references = 1, size of lhs = 5:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #982: mergings( V2 == V3; #980 ), references = 1, size of lhs = 4:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_v_H-{F}(V2), P_tc_Message_Omsg-{F}(V3) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #985: mergings( V1 == V2; #983 ), references = 1, size of lhs = 3:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1), P_v_H-{F}(V2) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #988: mergings( V1 == V2; #986 ), references = 1, size of lhs = 2:
% 6.96/7.17     P_v_X-{F}(V0), P_v_G-{F}(V1) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #991: mergings( V1 == V2; #989 ), references = 1, size of lhs = 1:
% 6.96/7.17     P_v_X-{F}(V0) | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  #993: exists( #6, #989 ), references = 1, size of lhs = 0:
% 6.96/7.17     FALSE | FALSE
% 6.96/7.17        (used 0 times, uses = {})
% 6.96/7.17  
% 6.96/7.17  number of learnt formulas = 99
% 6.96/7.17  
% 6.96/7.17  
% 6.96/7.17  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.96/7.17  
% 6.96/7.17  randbase = 1
%------------------------------------------------------------------------------