TSTP Solution File: SWV283-2 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SWV283-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n007.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 06:21:20 EDT 2022

% Result   : Unsatisfiable 0.76s 1.01s
% Output   : Refutation 0.76s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SWV283-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.33  % Computer : n007.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Fri Jul 22 15:12:57 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.76/1.01  GeoParameters:
% 0.76/1.01  
% 0.76/1.01  tptp_input =     1
% 0.76/1.01  tptp_output =    0
% 0.76/1.01  nonempty =       1
% 0.76/1.01  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/1.01  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.76/1.01  
% 0.76/1.01  
% 0.76/1.01  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/1.01  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/1.01  
% 0.76/1.01  RuleSystem INPUT:
% 0.76/1.01  
% 0.76/1.01  Initial Rules:
% 0.76/1.01  #0: input, references = 4, size of lhs = 9:
% 0.76/1.01     P_c_emptyset-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_Message_Omsg_ONonce-{F}(V3,V5), P_c_insert-{F}(V4,V0,V1,V6), P_c_Message_Oparts-{F}(V6,V7), P_v_sko__upX-{F}(V4,V8), c_in-{F}(V5,V7,V1), c_lessequals-{F}(V8,V3,V2) | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #1: input, references = 17, size of lhs = 5:
% 0.76/1.01     P_c_emptyset-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_plus-{F}(V5,V3,V2,V6), c_lessequals-{F}(V6,V4,V2) | c_lessequals-{T}(V3,V4,V2)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #2: input, references = 10, size of lhs = 5:
% 0.76/1.01     P_c_emptyset-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_c_plus-{F}(V3,V5,V2,V6), c_lessequals-{F}(V6,V4,V2) | c_lessequals-{T}(V3,V4,V2)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #3: input, references = 6, size of lhs = 9:
% 0.76/1.01     P_c_emptyset-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_v_list-{F}(V3), P_c_Event_Oused-{F}(V3,V4), P_v_x-{F}(V5), P_c_Message_Omsg_ONonce-{F}(V6,V7), c_in-{F}(V7,V4,V1), c_lessequals-{F}(V5,V6,V2) | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #4: input, references = 13, size of lhs = 8:
% 0.76/1.01     P_c_emptyset-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_v_list-{F}(V3), P_c_Event_Oused-{F}(V3,V4), P_v_x-{F}(V5), P_v_xd-{F}(V6,V7), P_v_xd-{F}(V8,V9) | c_lessequals-{T}(V6,V7,V2), c_lessequals-{T}(V8,V9,V2)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #5: input, references = 6, size of lhs = 13:
% 0.76/1.01     P_c_emptyset-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_v_list-{F}(V3), P_c_Event_Oused-{F}(V3,V4), P_v_x-{F}(V5), P_v_xc-{F}(V6), P_c_insert-{F}(V6,V0,V1,V7), P_c_Message_Oparts-{F}(V7,V8), P_v_xd-{F}(V9,V10), P_c_Message_Omsg_ONonce-{F}(V10,V11), P_v_xd-{F}(V12,V13), P_c_Message_Omsg_ONonce-{F}(V13,V14) | c_in-{T}(V11,V4,V1), c_in-{T}(V11,V8,V1), c_in-{T}(V14,V4,V1), c_in-{T}(V14,V8,V1)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #6: input, references = 6, size of lhs = 1:
% 0.76/1.01     #-{F} V0 | EXISTS V1: P_c_Message_Omsg_ONonce-{T}(V0,V1)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #7: input, references = 4, size of lhs = 1:
% 0.76/1.01     #-{F} V0 | EXISTS V1: P_c_Message_Oparts-{T}(V0,V1)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #8: input, references = 4, size of lhs = 3:
% 0.76/1.01     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_insert-{T}(V0,V1,V2,V3)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #9: input, references = 4, size of lhs = 0:
% 0.76/1.01     FALSE | EXISTS V0: P_c_emptyset-{T}(V0)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #10: input, references = 4, size of lhs = 0:
% 0.76/1.01     FALSE | EXISTS V0: P_tc_Message_Omsg-{T}(V0)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #11: input, references = 4, size of lhs = 1:
% 0.76/1.01     #-{F} V0 | EXISTS V1: P_v_sko__upX-{T}(V0,V1)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #12: input, references = 4, size of lhs = 0:
% 0.76/1.01     FALSE | EXISTS V0: P_tc_nat-{T}(V0)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #13: input, references = 4, size of lhs = 3:
% 0.76/1.01     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_plus-{T}(V0,V1,V2,V3)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #14: input, references = 5, size of lhs = 1:
% 0.76/1.01     #-{F} V0 | EXISTS V1: P_c_Event_Oused-{T}(V0,V1)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #15: input, references = 4, size of lhs = 0:
% 0.76/1.01     FALSE | EXISTS V0: P_v_list-{T}(V0)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #16: input, references = 4, size of lhs = 0:
% 0.76/1.01     FALSE | EXISTS V0: P_v_x-{T}(V0)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #17: input, references = 6, size of lhs = 1:
% 0.76/1.01     #-{F} V0 | EXISTS V1: P_v_xd-{T}(V0,V1)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #18: input, references = 4, size of lhs = 0:
% 0.76/1.01     FALSE | EXISTS V0: P_v_xc-{T}(V0)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  number of initial rules = 19
% 0.76/1.01  
% 0.76/1.01  Simplifiers:
% 0.76/1.01  #19: unsound, references = 3, size of lhs = 3:
% 0.76/1.01     c_in-{F}(V0,V1,V2), c_in-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #20: unsound, references = 3, size of lhs = 3:
% 0.76/1.01     c_lessequals-{F}(V0,V1,V2), c_lessequals-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #21: unsound, references = 3, size of lhs = 3:
% 0.76/1.01     P_c_Message_Omsg_ONonce-{F}(V0,V1), P_c_Message_Omsg_ONonce-{F}(V0,V3), V1 == V3 | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #22: unsound, references = 3, size of lhs = 3:
% 0.76/1.01     P_c_Message_Oparts-{F}(V0,V1), P_c_Message_Oparts-{F}(V0,V3), V1 == V3 | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #23: unsound, references = 3, size of lhs = 3:
% 0.76/1.01     P_c_insert-{F}(V0,V1,V2,V3), P_c_insert-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #24: unsound, references = 3, size of lhs = 3:
% 0.76/1.01     P_c_emptyset-{F}(V0), P_c_emptyset-{F}(V1), V0 == V1 | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #25: unsound, references = 3, size of lhs = 3:
% 0.76/1.01     P_tc_Message_Omsg-{F}(V0), P_tc_Message_Omsg-{F}(V1), V0 == V1 | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #26: unsound, references = 3, size of lhs = 3:
% 0.76/1.01     P_v_sko__upX-{F}(V0,V1), P_v_sko__upX-{F}(V0,V3), V1 == V3 | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #27: unsound, references = 3, size of lhs = 3:
% 0.76/1.01     P_tc_nat-{F}(V0), P_tc_nat-{F}(V1), V0 == V1 | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #28: unsound, references = 3, size of lhs = 3:
% 0.76/1.01     P_c_plus-{F}(V0,V1,V2,V3), P_c_plus-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #29: unsound, references = 3, size of lhs = 3:
% 0.76/1.01     P_c_Event_Oused-{F}(V0,V1), P_c_Event_Oused-{F}(V0,V3), V1 == V3 | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #30: unsound, references = 3, size of lhs = 3:
% 0.76/1.01     P_v_list-{F}(V0), P_v_list-{F}(V1), V0 == V1 | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #31: unsound, references = 3, size of lhs = 3:
% 0.76/1.01     P_v_x-{F}(V0), P_v_x-{F}(V1), V0 == V1 | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #32: unsound, references = 3, size of lhs = 3:
% 0.76/1.01     P_v_xd-{F}(V0,V1), P_v_xd-{F}(V0,V3), V1 == V3 | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #33: unsound, references = 3, size of lhs = 3:
% 0.76/1.01     P_v_xc-{F}(V0), P_v_xc-{F}(V1), V0 == V1 | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  number of simplifiers = 15
% 0.76/1.01  
% 0.76/1.01  Learnt:
% 0.76/1.01  #39: mergings( V16 == V22, V0 == V15, V15 == V21, V2 == V22; #34 ), references = 1, size of lhs = 23:
% 0.76/1.01     P_v_list-{F}(V0), P_c_Event_Oused-{F}(V0,V1), P_v_x-{F}(V2), P_v_xc-{F}(V3), P_c_emptyset-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_insert-{F}(V3,V4,V5,V6), P_c_Message_Oparts-{F}(V6,V7), P_tc_nat-{F}(V8), P_c_Message_Oparts-{F}(V9,V7), P_c_insert-{F}(V10,V4,V5,V9), P_v_sko__upX-{F}(V10,V11), c_lessequals-{F}(V11,V12,V8), P_c_Message_Omsg_ONonce-{F}(V12,V13), P_c_Message_Omsg_ONonce-{F}(V14,V13), P_v_xd-{F}(V15,V14), P_c_Message_Oparts-{F}(V16,V7), P_c_insert-{F}(V17,V4,V5,V16), P_v_sko__upX-{F}(V17,V18), c_lessequals-{F}(V18,V19,V8), P_c_Message_Omsg_ONonce-{F}(V19,V20), P_c_Message_Omsg_ONonce-{F}(V21,V20), P_v_xd-{F}(V22,V21) | c_in-{T}(V13,V1,V5), c_in-{T}(V20,V1,V5)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #49: mergings( V28 == V7, V7 == V12, V0 == V6, V6 == V8, V8 == V27, V1 == V12, V2 == V29, V4 == V30; #40 ), references = 2, size of lhs = 25:
% 0.76/1.01     P_v_xc-{F}(V0), P_c_emptyset-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_c_insert-{F}(V0,V1,V2,V3), P_c_Message_Oparts-{F}(V3,V4), P_tc_nat-{F}(V5), P_v_list-{F}(V6), P_c_Event_Oused-{F}(V6,V7), P_v_x-{F}(V8), c_lessequals-{F}(V8,V9,V5), P_c_Message_Omsg_ONonce-{F}(V9,V10), P_c_Message_Omsg_ONonce-{F}(V11,V10), P_c_Message_Oparts-{F}(V12,V4), P_c_insert-{F}(V13,V1,V2,V12), P_v_sko__upX-{F}(V13,V14), c_lessequals-{F}(V14,V11,V5), P_c_Message_Omsg_ONonce-{F}(V15,V10), P_v_xd-{F}(V16,V15), P_c_Message_Oparts-{F}(V17,V4), P_c_insert-{F}(V18,V1,V2,V17), P_v_sko__upX-{F}(V18,V19), c_lessequals-{F}(V19,V20,V5), P_c_Message_Omsg_ONonce-{F}(V20,V21), P_c_Message_Omsg_ONonce-{F}(V22,V21), P_v_xd-{F}(V23,V22) | c_in-{T}(V21,V7,V2)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #57: mergings( V4 == V13, V3 == V11, V5 == V14, V7 == V15; #52 ), references = 10, size of lhs = 24:
% 0.76/1.01     P_v_xc-{F}(V0), P_c_emptyset-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_c_insert-{F}(V0,V1,V2,V3), P_tc_nat-{F}(V4), P_v_list-{F}(V5), P_c_Event_Oused-{F}(V5,V6), P_v_x-{F}(V7), c_lessequals-{F}(V7,V8,V4), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_c_Message_Omsg_ONonce-{F}(V10,V9), c_lessequals-{F}(V7,V11,V4), P_c_Message_Omsg_ONonce-{F}(V11,V12), P_c_Message_Omsg_ONonce-{F}(V13,V12), P_c_insert-{F}(V14,V1,V2,V3), P_v_sko__upX-{F}(V14,V15), c_lessequals-{F}(V15,V10,V4), P_c_insert-{F}(V16,V1,V2,V3), P_v_sko__upX-{F}(V16,V17), c_lessequals-{F}(V17,V13,V4), P_c_Message_Omsg_ONonce-{F}(V18,V9), P_v_xd-{F}(V19,V18), P_c_Message_Omsg_ONonce-{F}(V20,V12), P_v_xd-{F}(V21,V20) | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #64: mergings( V4 == V12, V1 == V11, V18 == V19, V5 == V13, V7 == V14; #58 ), references = 9, size of lhs = 20:
% 0.76/1.01     P_v_xc-{F}(V0), P_c_emptyset-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_tc_nat-{F}(V3), P_v_list-{F}(V4), P_c_Event_Oused-{F}(V4,V5), P_v_x-{F}(V6), c_lessequals-{F}(V6,V7,V3), P_c_Message_Omsg_ONonce-{F}(V7,V8), P_c_Message_Omsg_ONonce-{F}(V9,V8), c_lessequals-{F}(V6,V10,V3), P_c_Message_Omsg_ONonce-{F}(V10,V11), P_c_Message_Omsg_ONonce-{F}(V12,V11), P_v_sko__upX-{F}(V0,V13), c_lessequals-{F}(V13,V9,V3), c_lessequals-{F}(V13,V12,V3), P_c_Message_Omsg_ONonce-{F}(V14,V8), P_v_xd-{F}(V15,V14), P_c_Message_Omsg_ONonce-{F}(V16,V11), P_v_xd-{F}(V17,V16) | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #74: mergings( V14 == V18, V0 == V11, V11 == V15, V1 == V16, V3 == V12, V4 == V13, V12 == V17, V5 == V6; #65 ), references = 1, size of lhs = 15:
% 0.76/1.01     P_v_xc-{F}(V0), P_c_emptyset-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_tc_nat-{F}(V3), P_v_list-{F}(V4), P_c_Event_Oused-{F}(V4,V5), P_v_x-{F}(V6), P_v_sko__upX-{F}(V0,V6), P_v_xd-{F}(V6,V7), P_c_Message_Omsg_ONonce-{F}(V7,V8), P_c_Message_Omsg_ONonce-{F}(V9,V8), P_v_xd-{F}(V10,V9), P_c_Message_Omsg_ONonce-{F}(V11,V8), P_v_xd-{F}(V12,V11), P_v_xd-{F}(V13,V14) | c_lessequals-{T}(V13,V14,V3)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #89: mergings( V11 == V12, V19 == V20, V2 == V6, V6 == V7, V7 == V14, V3 == V8, V8 == V15, V4 == V9, V9 == V17, V10 == V18, V12 == V20, V5 == V13; #76 ), references = 1, size of lhs = 17:
% 0.76/1.01     P_v_xc-{F}(V0), P_c_emptyset-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_tc_nat-{F}(V3), P_v_list-{F}(V4), P_v_x-{F}(V5), P_v_sko__upX-{F}(V0,V5), P_v_xd-{F}(V5,V6), P_c_Message_Omsg_ONonce-{F}(V6,V7), P_c_Message_Omsg_ONonce-{F}(V8,V7), P_v_xd-{F}(V9,V8), P_c_Message_Omsg_ONonce-{F}(V10,V7), P_v_xd-{F}(V11,V10), P_c_Message_Omsg_ONonce-{F}(V12,V7), P_v_xd-{F}(V13,V12), P_c_Message_Omsg_ONonce-{F}(V14,V7), P_v_xd-{F}(V15,V14) | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #99: mergings( V2 == V6, V6 == V7, V7 == V11, V3 == V8, V8 == V12, V4 == V9, V9 == V15, V5 == V10; #90 ), references = 1, size of lhs = 12:
% 0.76/1.01     P_v_xc-{F}(V0), P_c_emptyset-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_tc_nat-{F}(V3), P_v_list-{F}(V4), P_v_x-{F}(V5), P_v_sko__upX-{F}(V0,V5), P_v_xd-{F}(V5,V6), P_v_xd-{F}(V7,V6), P_v_xd-{F}(V8,V6), P_v_xd-{F}(V9,V6), P_v_xd-{F}(V10,V6) | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #108: mergings( V2 == V6, V6 == V7, V7 == V10, V3 == V8, V8 == V11, V4 == V0, V5 == V9; #100 ), references = 1, size of lhs = 7:
% 0.76/1.01     P_v_x-{F}(V0), P_v_xc-{F}(V1), P_v_sko__upX-{F}(V1,V0), P_c_emptyset-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_tc_nat-{F}(V4), P_v_list-{F}(V5) | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #123: mergings( V16 == V21, V21 == V26, V0 == V15, V15 == V20, V20 == V25, V2 == V26, V3 == V17, V17 == V22, V4 == V8, V22 == V27, V5 == V18, V18 == V23, V23 == V28; #109 ), references = 1, size of lhs = 19:
% 0.76/1.01     P_v_xc-{F}(V0), P_c_emptyset-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_c_insert-{F}(V0,V1,V2,V3), P_c_Message_Oparts-{F}(V3,V4), P_tc_nat-{F}(V5), P_v_list-{F}(V6), P_c_Event_Oused-{F}(V6,V4), P_v_x-{F}(V7), c_lessequals-{F}(V7,V8,V5), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_c_Message_Omsg_ONonce-{F}(V10,V9), c_lessequals-{F}(V7,V10,V5), c_lessequals-{F}(V7,V11,V5), P_c_Message_Omsg_ONonce-{F}(V11,V12), P_c_Message_Omsg_ONonce-{F}(V13,V9), P_v_xd-{F}(V14,V13), P_c_Message_Omsg_ONonce-{F}(V15,V12), P_v_xd-{F}(V16,V15) | c_in-{T}(V12,V4,V2)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #143: mergings( V18 == V24, V0 == V10, V10 == V16, V16 == V19, V19 == V22, V22 == V25, V1 == V26, V11 == V2, V3 == V12, V4 == V13, V12 == V17, V17 == V20, V13 == V21, V20 == V23, V23 == V28, V5 == V14, V14 == V6; #125 ), references = 1, size of lhs = 16:
% 0.76/1.01     P_v_xc-{F}(V0), P_c_emptyset-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_c_insert-{F}(V0,V1,V2,V3), P_c_Message_Oparts-{F}(V3,V4), P_tc_nat-{F}(V5), P_v_list-{F}(V6), P_c_Event_Oused-{F}(V6,V4), P_v_x-{F}(V7), P_v_xd-{F}(V7,V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_c_Message_Omsg_ONonce-{F}(V10,V9), P_v_xd-{F}(V11,V10), P_c_Message_Omsg_ONonce-{F}(V12,V9), P_v_xd-{F}(V13,V12), P_v_xd-{F}(V14,V15) | c_lessequals-{T}(V14,V15,V5)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #156: mergings( V18 == V19, V0 == V10, V10 == V13, V1 == V11, V11 == V14, V3 == V16, V4 == V17, V5 == V6; #147 ), references = 1, size of lhs = 20:
% 0.76/1.01     P_v_xc-{F}(V0), P_c_emptyset-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_c_insert-{F}(V0,V1,V2,V3), P_tc_nat-{F}(V4), P_v_list-{F}(V5), P_c_Event_Oused-{F}(V5,V6), P_v_x-{F}(V7), P_v_xd-{F}(V7,V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_c_insert-{F}(V10,V1,V2,V3), P_v_sko__upX-{F}(V10,V11), P_c_insert-{F}(V12,V1,V2,V3), P_v_sko__upX-{F}(V12,V11), P_c_plus-{F}(V13,V11,V4,V7), P_c_Message_Omsg_ONonce-{F}(V14,V9), P_v_xd-{F}(V15,V14), P_c_Message_Omsg_ONonce-{F}(V16,V9), P_v_xd-{F}(V17,V16), P_v_xd-{F}(V18,V19) | c_lessequals-{T}(V18,V19,V4)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #166: mergings( V18 == V20, V0 == V11, V1 == V12, V3 == V14, V4 == V15, V5 == V16; #159 ), references = 3, size of lhs = 23:
% 0.76/1.01     P_v_xc-{F}(V0), P_c_emptyset-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_c_insert-{F}(V0,V1,V2,V3), P_tc_nat-{F}(V4), P_v_list-{F}(V5), P_c_Event_Oused-{F}(V5,V6), P_v_x-{F}(V7), c_lessequals-{F}(V7,V8,V4), P_c_Message_Omsg_ONonce-{F}(V8,V9), c_lessequals-{F}(V7,V10,V4), P_c_Message_Omsg_ONonce-{F}(V10,V9), P_c_insert-{F}(V11,V1,V2,V3), P_v_sko__upX-{F}(V11,V12), P_v_xd-{F}(V12,V13), P_c_Message_Omsg_ONonce-{F}(V13,V9), P_c_insert-{F}(V14,V1,V2,V3), P_v_sko__upX-{F}(V14,V12), P_c_Message_Omsg_ONonce-{F}(V15,V9), P_v_xd-{F}(V16,V15), P_c_Message_Omsg_ONonce-{F}(V17,V9), P_v_xd-{F}(V18,V17), P_v_xd-{F}(V19,V20) | c_lessequals-{T}(V19,V20,V4)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #188: mergings( V24 == V25, V25 == V33, V33 == V34, V0 == V10, V10 == V16, V16 == V28, V1 == V11, V11 == V17, V17 == V29, V3 == V12, V4 == V13, V12 == V19, V13 == V20, V19 == V31, V20 == V32, V5 == V14, V14 == V6, V15 == V27, V18 == V30; #168 ), references = 1, size of lhs = 31:
% 0.76/1.01     P_tc_nat-{F}(V0), P_v_xc-{F}(V1), P_c_emptyset-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_c_insert-{F}(V1,V2,V3,V4), P_c_insert-{F}(V5,V2,V3,V4), P_v_sko__upX-{F}(V5,V6), P_v_xd-{F}(V6,V7), P_c_Message_Omsg_ONonce-{F}(V7,V8), P_c_insert-{F}(V9,V2,V3,V4), P_v_sko__upX-{F}(V9,V6), P_v_list-{F}(V10), P_c_Event_Oused-{F}(V10,V11), P_v_x-{F}(V12), P_v_xd-{F}(V12,V13), P_c_Message_Omsg_ONonce-{F}(V13,V8), P_c_insert-{F}(V14,V2,V3,V4), P_v_sko__upX-{F}(V14,V15), P_v_xd-{F}(V15,V16), P_c_Message_Omsg_ONonce-{F}(V16,V8), P_c_insert-{F}(V17,V2,V3,V4), P_v_sko__upX-{F}(V17,V15), P_c_Message_Omsg_ONonce-{F}(V18,V8), P_v_xd-{F}(V19,V18), P_c_Message_Omsg_ONonce-{F}(V20,V8), P_v_xd-{F}(V21,V20), P_c_Message_Omsg_ONonce-{F}(V22,V8), P_v_xd-{F}(V23,V22), P_c_Message_Omsg_ONonce-{F}(V24,V8), P_v_xd-{F}(V25,V24), P_v_xd-{F}(V26,V27) | c_lessequals-{T}(V26,V27,V0)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #210: mergings( V18 == V19, V0 == V10, V10 == V13, V1 == V11, V11 == V14, V3 == V15, V4 == V16, V5 == V17; #200 ), references = 1, size of lhs = 16:
% 0.76/1.01     P_v_xc-{F}(V0), P_c_emptyset-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_tc_nat-{F}(V3), P_v_list-{F}(V4), P_c_Event_Oused-{F}(V4,V5), P_v_x-{F}(V6), P_v_sko__upX-{F}(V0,V7), P_v_xd-{F}(V7,V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_c_plus-{F}(V10,V6,V3,V7), P_c_Message_Omsg_ONonce-{F}(V11,V9), P_v_xd-{F}(V12,V11), P_c_Message_Omsg_ONonce-{F}(V13,V9), P_v_xd-{F}(V14,V13), P_v_xd-{F}(V15,V16) | c_lessequals-{T}(V15,V16,V3)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #219: mergings( V20 == V21, V0 == V10, V10 == V13, V1 == V11, V11 == V14, V3 == V16, V4 == V17, V5 == V18; #201 ), references = 1, size of lhs = 20:
% 0.76/1.01     P_v_xc-{F}(V0), P_c_emptyset-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_c_insert-{F}(V0,V1,V2,V3), P_tc_nat-{F}(V4), P_v_list-{F}(V5), P_c_Event_Oused-{F}(V5,V6), P_v_x-{F}(V7), P_c_insert-{F}(V8,V1,V2,V3), P_v_sko__upX-{F}(V8,V9), P_v_xd-{F}(V9,V10), P_c_Message_Omsg_ONonce-{F}(V10,V11), P_c_insert-{F}(V12,V1,V2,V3), P_v_sko__upX-{F}(V12,V9), P_c_plus-{F}(V13,V7,V4,V9), P_c_Message_Omsg_ONonce-{F}(V14,V11), P_v_xd-{F}(V15,V14), P_c_Message_Omsg_ONonce-{F}(V16,V11), P_v_xd-{F}(V17,V16), P_v_xd-{F}(V18,V19) | c_lessequals-{T}(V18,V19,V4)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #242: mergings( V2 == V7, V7 == V10, V10 == V16, V16 == V19, V3 == V8, V8 == V11, V11 == V17, V17 == V20, V4 == V12, V5 == V13, V12 == V23, V13 == V24, V6 == V14, V14 == V25, V9 == V18, V15 == V26; #224 ), references = 1, size of lhs = 15:
% 0.76/1.01     P_v_xc-{F}(V0), P_c_emptyset-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_tc_nat-{F}(V3), P_v_list-{F}(V4), P_c_Event_Oused-{F}(V4,V5), P_v_x-{F}(V6), P_v_sko__upX-{F}(V0,V7), P_c_plus-{F}(V8,V6,V3,V7), P_v_xd-{F}(V7,V9), P_c_plus-{F}(V10,V6,V3,V7), P_v_xd-{F}(V11,V9), P_v_xd-{F}(V12,V9), P_v_xd-{F}(V13,V9), P_v_xd-{F}(V14,V9) | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #258: mergings( V2 == V7, V7 == V10, V10 == V16, V16 == V19, V3 == V8, V8 == V11, V11 == V17, V17 == V20, V4 == V12, V5 == V13, V12 == V24, V13 == V25, V6 == V14, V14 == V26, V9 == V18; #225 ), references = 1, size of lhs = 21:
% 0.76/1.01     P_v_xc-{F}(V0), P_v_sko__upX-{F}(V0,V1), P_v_xd-{F}(V1,V2), P_c_emptyset-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_insert-{F}(V0,V3,V4,V5), P_tc_nat-{F}(V6), P_v_list-{F}(V7), P_c_Event_Oused-{F}(V7,V8), P_v_x-{F}(V9), P_c_plus-{F}(V10,V9,V6,V1), P_c_insert-{F}(V11,V3,V4,V5), P_v_sko__upX-{F}(V11,V12), P_v_xd-{F}(V12,V2), P_c_insert-{F}(V13,V3,V4,V5), P_v_sko__upX-{F}(V13,V12), P_c_plus-{F}(V14,V9,V6,V12), P_v_xd-{F}(V15,V2), P_v_xd-{F}(V16,V2), P_v_xd-{F}(V17,V2), P_v_xd-{F}(V18,V2) | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #276: mergings( V2 == V7, V7 == V10, V10 == V15, V15 == V18, V3 == V8, V8 == V11, V11 == V16, V16 == V19, V4 == V12, V5 == V13, V12 == V22, V13 == V23, V6 == V14, V14 == V24, V9 == V17; #259 ), references = 1, size of lhs = 10:
% 0.76/1.01     P_v_xc-{F}(V0), P_v_sko__upX-{F}(V0,V1), P_c_emptyset-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_tc_nat-{F}(V4), P_v_list-{F}(V5), P_c_Event_Oused-{F}(V5,V6), P_v_x-{F}(V7), P_c_plus-{F}(V8,V7,V4,V1), P_c_plus-{F}(V9,V7,V4,V1) | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #303: mergings( V29 == V30, V21 == V30, V0 == V10, V10 == V13, V13 == V24, V1 == V11, V11 == V14, V14 == V25, V3 == V16, V4 == V17, V16 == V26, V17 == V27, V5 == V28, V12 == V23; #287 ), references = 1, size of lhs = 29:
% 0.76/1.01     P_tc_nat-{F}(V0), P_v_xc-{F}(V1), P_c_emptyset-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_c_insert-{F}(V1,V2,V3,V4), P_c_insert-{F}(V5,V2,V3,V4), P_v_sko__upX-{F}(V5,V6), P_v_xd-{F}(V6,V7), P_c_Message_Omsg_ONonce-{F}(V7,V8), P_c_insert-{F}(V9,V2,V3,V4), P_v_sko__upX-{F}(V9,V6), P_v_list-{F}(V10), P_c_Event_Oused-{F}(V10,V11), P_v_x-{F}(V12), P_v_sko__upX-{F}(V1,V13), P_v_xd-{F}(V13,V14), P_c_Message_Omsg_ONonce-{F}(V14,V8), P_c_Message_Omsg_ONonce-{F}(V15,V8), P_v_xd-{F}(V16,V15), P_c_plus-{F}(V17,V12,V0,V16), P_c_Message_Omsg_ONonce-{F}(V18,V8), P_v_xd-{F}(V19,V18), P_c_Message_Omsg_ONonce-{F}(V20,V8), P_v_xd-{F}(V21,V20), P_c_Message_Omsg_ONonce-{F}(V22,V8), P_v_xd-{F}(V23,V22), P_c_Message_Omsg_ONonce-{F}(V24,V8), P_v_xd-{F}(V25,V24), P_v_xd-{F}(V26,V27) | c_lessequals-{T}(V26,V27,V0)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #319: mergings( V30 == V31, V21 == V31, V0 == V10, V10 == V13, V13 == V24, V1 == V11, V11 == V14, V14 == V25, V3 == V16, V4 == V17, V16 == V27, V17 == V28, V5 == V29, V12 == V23, V15 == V26; #288 ), references = 1, size of lhs = 32:
% 0.76/1.01     P_tc_nat-{F}(V0), P_v_xc-{F}(V1), P_c_emptyset-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_c_insert-{F}(V1,V2,V3,V4), P_c_insert-{F}(V5,V2,V3,V4), P_v_sko__upX-{F}(V5,V6), P_v_xd-{F}(V6,V7), P_c_Message_Omsg_ONonce-{F}(V7,V8), P_c_insert-{F}(V9,V2,V3,V4), P_v_sko__upX-{F}(V9,V6), P_v_list-{F}(V10), P_c_Event_Oused-{F}(V10,V11), P_v_x-{F}(V12), P_c_insert-{F}(V13,V2,V3,V4), P_v_sko__upX-{F}(V13,V14), P_v_xd-{F}(V14,V15), P_c_Message_Omsg_ONonce-{F}(V15,V8), P_c_insert-{F}(V16,V2,V3,V4), P_v_sko__upX-{F}(V16,V14), P_c_Message_Omsg_ONonce-{F}(V17,V8), P_v_xd-{F}(V18,V17), P_c_plus-{F}(V19,V12,V0,V18), P_c_Message_Omsg_ONonce-{F}(V20,V8), P_v_xd-{F}(V21,V20), P_c_Message_Omsg_ONonce-{F}(V22,V8), P_v_xd-{F}(V23,V22), P_c_Message_Omsg_ONonce-{F}(V24,V8), P_v_xd-{F}(V25,V24), P_c_Message_Omsg_ONonce-{F}(V26,V8), P_v_xd-{F}(V27,V26), P_v_xd-{F}(V28,V29) | c_lessequals-{T}(V28,V29,V0)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #346: mergings( V19 == V21, V0 == V10, V10 == V13, V1 == V11, V11 == V14, V3 == V15, V4 == V16, V5 == V17; #335 ), references = 1, size of lhs = 20:
% 0.76/1.01     P_v_xc-{F}(V0), P_c_emptyset-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_tc_nat-{F}(V3), P_v_list-{F}(V4), P_c_Event_Oused-{F}(V4,V5), P_v_x-{F}(V6), c_lessequals-{F}(V6,V7,V3), P_c_Message_Omsg_ONonce-{F}(V7,V8), c_lessequals-{F}(V6,V9,V3), P_c_Message_Omsg_ONonce-{F}(V9,V8), P_v_sko__upX-{F}(V0,V10), P_c_Message_Omsg_ONonce-{F}(V11,V8), P_v_xd-{F}(V12,V11), P_c_plus-{F}(V13,V10,V3,V12), P_c_Message_Omsg_ONonce-{F}(V14,V8), P_v_xd-{F}(V15,V14), P_c_Message_Omsg_ONonce-{F}(V16,V8), P_v_xd-{F}(V17,V16), P_v_xd-{F}(V18,V19) | c_lessequals-{T}(V18,V19,V3)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #355: mergings( V20 == V22, V0 == V10, V10 == V13, V1 == V11, V11 == V14, V3 == V16, V4 == V17, V5 == V18; #336 ), references = 1, size of lhs = 24:
% 0.76/1.01     P_v_xc-{F}(V0), P_c_emptyset-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_c_insert-{F}(V0,V1,V2,V3), P_tc_nat-{F}(V4), P_v_list-{F}(V5), P_c_Event_Oused-{F}(V5,V6), P_v_x-{F}(V7), c_lessequals-{F}(V7,V8,V4), P_c_Message_Omsg_ONonce-{F}(V8,V9), c_lessequals-{F}(V7,V10,V4), P_c_Message_Omsg_ONonce-{F}(V10,V9), P_c_insert-{F}(V11,V1,V2,V3), P_v_sko__upX-{F}(V11,V12), P_c_insert-{F}(V13,V1,V2,V3), P_v_sko__upX-{F}(V13,V12), P_c_Message_Omsg_ONonce-{F}(V14,V9), P_v_xd-{F}(V15,V14), P_c_plus-{F}(V16,V12,V4,V15), P_c_Message_Omsg_ONonce-{F}(V17,V9), P_v_xd-{F}(V18,V17), P_c_Message_Omsg_ONonce-{F}(V19,V9), P_v_xd-{F}(V20,V19), P_v_xd-{F}(V21,V22) | c_lessequals-{T}(V21,V22,V4)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #360: mergings( V0 == V10, V10 == V12, V1 == V11, V11 == V13; #337 ), references = 1, size of lhs = 14:
% 0.76/1.01     P_v_list-{F}(V0), P_c_Event_Oused-{F}(V0,V1), P_v_x-{F}(V2), P_c_emptyset-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_tc_nat-{F}(V5), P_v_xd-{F}(V6,V7), P_c_insert-{F}(V8,V3,V4,V9), P_c_Message_Oparts-{F}(V9,V10), P_v_sko__upX-{F}(V8,V11), c_in-{F}(V12,V10,V4), P_c_Message_Omsg_ONonce-{F}(V13,V12), P_v_xd-{F}(V14,V13), P_c_plus-{F}(V15,V11,V5,V14) | c_lessequals-{T}(V6,V7,V5)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #379: mergings( V18 == V19, V0 == V10, V10 == V13, V1 == V11, V11 == V14, V3 == V15, V4 == V16, V5 == V17; #369 ), references = 1, size of lhs = 16:
% 0.76/1.01     P_v_xc-{F}(V0), P_c_emptyset-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_tc_nat-{F}(V3), P_v_list-{F}(V4), P_c_Event_Oused-{F}(V4,V5), P_v_x-{F}(V6), P_v_sko__upX-{F}(V0,V7), P_v_xd-{F}(V7,V8), P_c_Message_Omsg_ONonce-{F}(V8,V9), P_c_plus-{F}(V6,V10,V3,V7), P_c_Message_Omsg_ONonce-{F}(V11,V9), P_v_xd-{F}(V12,V11), P_c_Message_Omsg_ONonce-{F}(V13,V9), P_v_xd-{F}(V14,V13), P_v_xd-{F}(V15,V16) | c_lessequals-{T}(V15,V16,V3)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #388: mergings( V20 == V21, V0 == V10, V10 == V13, V1 == V11, V11 == V14, V3 == V16, V4 == V17, V5 == V18; #370 ), references = 1, size of lhs = 20:
% 0.76/1.01     P_v_xc-{F}(V0), P_c_emptyset-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_c_insert-{F}(V0,V1,V2,V3), P_tc_nat-{F}(V4), P_v_list-{F}(V5), P_c_Event_Oused-{F}(V5,V6), P_v_x-{F}(V7), P_c_insert-{F}(V8,V1,V2,V3), P_v_sko__upX-{F}(V8,V9), P_v_xd-{F}(V9,V10), P_c_Message_Omsg_ONonce-{F}(V10,V11), P_c_insert-{F}(V12,V1,V2,V3), P_v_sko__upX-{F}(V12,V9), P_c_plus-{F}(V7,V13,V4,V9), P_c_Message_Omsg_ONonce-{F}(V14,V11), P_v_xd-{F}(V15,V14), P_c_Message_Omsg_ONonce-{F}(V16,V11), P_v_xd-{F}(V17,V16), P_v_xd-{F}(V18,V19) | c_lessequals-{T}(V18,V19,V4)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #398: mergings( V16 == V22, V0 == V15, V15 == V21, V2 == V22; #393 ), references = 1, size of lhs = 23:
% 0.76/1.01     P_v_list-{F}(V0), P_c_Event_Oused-{F}(V0,V1), P_v_x-{F}(V2), P_v_xc-{F}(V3), P_c_emptyset-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_insert-{F}(V3,V4,V5,V6), P_c_Message_Oparts-{F}(V6,V7), P_tc_nat-{F}(V8), P_c_Message_Oparts-{F}(V9,V7), P_c_insert-{F}(V10,V4,V5,V9), P_v_sko__upX-{F}(V10,V11), c_lessequals-{F}(V11,V12,V8), P_c_Message_Omsg_ONonce-{F}(V12,V13), P_c_Message_Omsg_ONonce-{F}(V14,V13), P_v_xd-{F}(V15,V14), P_c_Message_Oparts-{F}(V16,V7), P_c_insert-{F}(V17,V4,V5,V16), P_v_sko__upX-{F}(V17,V18), c_lessequals-{F}(V18,V19,V8), P_c_Message_Omsg_ONonce-{F}(V19,V20), P_c_Message_Omsg_ONonce-{F}(V21,V20), P_v_xd-{F}(V22,V21) | c_in-{T}(V13,V1,V5), c_in-{T}(V20,V1,V5)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #438: mergings( V22 == V23, V0 == V10, V10 == V12, V12 == V15, V1 == V11, V11 == V13, V13 == V16, V3 == V17, V4 == V18, V5 == V19; #425 ), references = 1, size of lhs = 17:
% 0.76/1.01     P_v_xc-{F}(V0), P_c_emptyset-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_tc_nat-{F}(V3), P_v_list-{F}(V4), P_c_Event_Oused-{F}(V4,V5), P_v_x-{F}(V6), P_v_sko__upX-{F}(V0,V7), P_v_xd-{F}(V8,V9), P_c_plus-{F}(V10,V7,V3,V11), P_v_xd-{F}(V11,V12), P_c_Message_Omsg_ONonce-{F}(V12,V13), P_c_plus-{F}(V6,V14,V3,V11), P_c_Message_Omsg_ONonce-{F}(V15,V13), P_v_xd-{F}(V16,V15), P_c_Message_Omsg_ONonce-{F}(V17,V13), P_v_xd-{F}(V18,V17) | c_lessequals-{T}(V8,V9,V3)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #449: mergings( V25 == V26, V0 == V10, V10 == V12, V12 == V15, V1 == V11, V11 == V13, V13 == V16, V3 == V18, V4 == V19, V5 == V20; #426 ), references = 1, size of lhs = 21:
% 0.76/1.01     P_v_xc-{F}(V0), P_c_emptyset-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_c_insert-{F}(V0,V1,V2,V3), P_tc_nat-{F}(V4), P_v_list-{F}(V5), P_c_Event_Oused-{F}(V5,V6), P_v_x-{F}(V7), P_c_insert-{F}(V8,V1,V2,V3), P_v_sko__upX-{F}(V8,V9), P_c_insert-{F}(V10,V1,V2,V3), P_v_sko__upX-{F}(V10,V9), P_v_xd-{F}(V11,V12), P_c_plus-{F}(V13,V9,V4,V14), P_v_xd-{F}(V14,V15), P_c_Message_Omsg_ONonce-{F}(V15,V16), P_c_plus-{F}(V7,V17,V4,V14), P_c_Message_Omsg_ONonce-{F}(V18,V16), P_v_xd-{F}(V19,V18), P_c_Message_Omsg_ONonce-{F}(V20,V16), P_v_xd-{F}(V21,V20) | c_lessequals-{T}(V11,V12,V4)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #457: mergings( V0 == V10, V10 == V12, V1 == V11, V11 == V13, V3 == V14, V4 == V15, V5 == V16; #427 ), references = 1, size of lhs = 11:
% 0.76/1.01     P_c_emptyset-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_v_list-{F}(V3), P_c_Event_Oused-{F}(V3,V4), P_v_x-{F}(V5), c_in-{F}(V6,V4,V1), P_c_Message_Omsg_ONonce-{F}(V7,V6), P_v_xd-{F}(V8,V7), P_c_plus-{F}(V5,V9,V2,V8), P_v_xd-{F}(V10,V11) | c_lessequals-{T}(V10,V11,V2)
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #488: mergings( V2 == V7, V7 == V9, V9 == V12, V12 == V18, V18 == V20, V20 == V23, V3 == V8, V8 == V10, V10 == V13, V13 == V19, V19 == V21, V21 == V24, V4 == V14, V5 == V15, V14 == V26, V15 == V27, V6 == V16, V16 == V28, V11 == V22, V17 == V29; #466 ), references = 1, size of lhs = 18:
% 0.76/1.01     P_v_xc-{F}(V0), P_c_emptyset-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_tc_nat-{F}(V3), P_v_list-{F}(V4), P_c_Event_Oused-{F}(V4,V5), P_v_x-{F}(V6), P_v_sko__upX-{F}(V0,V7), P_c_plus-{F}(V8,V7,V3,V9), P_v_xd-{F}(V9,V10), P_c_plus-{F}(V6,V11,V3,V9), P_v_xd-{F}(V12,V10), P_v_xd-{F}(V13,V10), P_v_xd-{F}(V14,V10), P_v_xd-{F}(V15,V10), P_v_xd-{F}(V16,V10), P_c_plus-{F}(V17,V7,V3,V16), P_c_plus-{F}(V6,V18,V3,V16) | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #508: mergings( V2 == V7, V7 == V9, V9 == V12, V12 == V18, V18 == V20, V20 == V23, V3 == V8, V8 == V10, V10 == V13, V13 == V19, V19 == V21, V21 == V24, V4 == V14, V5 == V15, V14 == V27, V15 == V28, V6 == V16, V16 == V29, V11 == V22; #467 ), references = 1, size of lhs = 23:
% 0.76/1.01     P_v_xc-{F}(V0), P_v_sko__upX-{F}(V0,V1), P_c_emptyset-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_c_insert-{F}(V0,V2,V3,V4), P_tc_nat-{F}(V5), P_v_list-{F}(V6), P_c_Event_Oused-{F}(V6,V7), P_v_x-{F}(V8), P_c_insert-{F}(V9,V2,V3,V4), P_v_sko__upX-{F}(V9,V10), P_c_insert-{F}(V11,V2,V3,V4), P_v_sko__upX-{F}(V11,V10), P_c_plus-{F}(V12,V1,V5,V13), P_v_xd-{F}(V13,V14), P_c_plus-{F}(V8,V15,V5,V13), P_v_xd-{F}(V16,V14), P_v_xd-{F}(V17,V14), P_v_xd-{F}(V18,V14), P_v_xd-{F}(V19,V14), P_v_xd-{F}(V20,V14), P_c_plus-{F}(V21,V10,V5,V20), P_c_plus-{F}(V8,V22,V5,V20) | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #531: mergings( V2 == V7, V7 == V9, V9 == V12, V12 == V18, V18 == V20, V20 == V23, V3 == V8, V8 == V10, V10 == V13, V13 == V19, V19 == V21, V21 == V24, V4 == V14, V5 == V15, V14 == V26, V15 == V27, V6 == V16, V16 == V28, V11 == V22, V17 == V29; #509 ), references = 1, size of lhs = 12:
% 0.76/1.01     P_v_xc-{F}(V0), P_c_emptyset-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_tc_nat-{F}(V3), P_v_list-{F}(V4), P_c_Event_Oused-{F}(V4,V5), P_v_x-{F}(V6), P_v_sko__upX-{F}(V0,V7), P_c_plus-{F}(V8,V7,V3,V9), P_c_plus-{F}(V6,V10,V3,V9), P_c_plus-{F}(V11,V7,V3,V9), P_c_plus-{F}(V6,V12,V3,V9) | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #551: mergings( V2 == V7, V7 == V9, V9 == V12, V12 == V18, V18 == V20, V20 == V23, V3 == V8, V8 == V10, V10 == V13, V13 == V19, V19 == V21, V21 == V24, V4 == V14, V5 == V15, V14 == V27, V15 == V28, V6 == V16, V16 == V29, V11 == V22; #510 ), references = 1, size of lhs = 17:
% 0.76/1.01     P_v_xc-{F}(V0), P_v_sko__upX-{F}(V0,V1), P_c_emptyset-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_c_insert-{F}(V0,V2,V3,V4), P_tc_nat-{F}(V5), P_v_list-{F}(V6), P_c_Event_Oused-{F}(V6,V7), P_v_x-{F}(V8), P_c_insert-{F}(V9,V2,V3,V4), P_v_sko__upX-{F}(V9,V10), P_c_insert-{F}(V11,V2,V3,V4), P_v_sko__upX-{F}(V11,V10), P_c_plus-{F}(V12,V1,V5,V13), P_c_plus-{F}(V8,V14,V5,V13), P_c_plus-{F}(V15,V10,V5,V13), P_c_plus-{F}(V8,V16,V5,V13) | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #572: mergings( V4 == V9, V9 == V11, V11 == V14, V14 == V18, V18 == V20, V20 == V23, V5 == V10, V10 == V12, V12 == V15, V15 == V19, V19 == V21, V21 == V24, V6 == V16, V7 == V17, V16 == V25, V17 == V26, V8 == V0, V13 == V22; #552 ), references = 1, size of lhs = 8:
% 0.76/1.01     P_v_xc-{F}(V0), P_v_sko__upX-{F}(V0,V1), P_c_emptyset-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_tc_nat-{F}(V4), P_v_list-{F}(V5), P_c_Event_Oused-{F}(V5,V6), P_v_x-{F}(V7) | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #588: mergings( V2 == V5, V5 == V7, V7 == V10, V10 == V13, V13 == V15, V15 == V18, V3 == V6, V6 == V8, V8 == V11, V11 == V14, V14 == V16, V16 == V19, V4 == V21, V9 == V17; #573 ), references = 1, size of lhs = 7:
% 0.76/1.01     P_v_xc-{F}(V0), P_v_sko__upX-{F}(V0,V1), P_c_emptyset-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_tc_nat-{F}(V4), P_v_list-{F}(V5), P_v_x-{F}(V6) | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #603: mergings( V2 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V4 == V19; #589 ), references = 1, size of lhs = 6:
% 0.76/1.01     P_v_xc-{F}(V0), P_c_emptyset-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_tc_nat-{F}(V3), P_v_list-{F}(V4), P_v_x-{F}(V5) | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #618: mergings( V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V2 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V3 == V18; #604 ), references = 1, size of lhs = 5:
% 0.76/1.01     P_c_emptyset-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_v_list-{F}(V3), P_v_x-{F}(V4) | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #632: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #619 ), references = 1, size of lhs = 4:
% 0.76/1.01     P_c_emptyset-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2), P_v_list-{F}(V3) | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #646: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #633 ), references = 1, size of lhs = 3:
% 0.76/1.01     P_c_emptyset-{F}(V0), P_tc_Message_Omsg-{F}(V1), P_tc_nat-{F}(V2) | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #660: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #647 ), references = 1, size of lhs = 2:
% 0.76/1.01     P_c_emptyset-{F}(V0), P_tc_Message_Omsg-{F}(V1) | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #668: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #661 ), references = 1, size of lhs = 1:
% 0.76/1.01     P_c_emptyset-{F}(V0) | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  #670: exists( #9, #661 ), references = 1, size of lhs = 0:
% 0.76/1.01     FALSE | FALSE
% 0.76/1.01        (used 0 times, uses = {})
% 0.76/1.01  
% 0.76/1.01  number of learnt formulas = 42
% 0.76/1.01  
% 0.76/1.01  
% 0.76/1.01  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/1.01  
% 0.76/1.01  randbase = 1
%------------------------------------------------------------------------------