TSTP Solution File: SWV239-2 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SWV239-2 : 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 06:21:13 EDT 2022

% Result   : Unsatisfiable 0.55s 0.70s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV239-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n007.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 15:34:27 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.55/0.70  GeoParameters:
% 0.55/0.70  
% 0.55/0.70  tptp_input =     1
% 0.55/0.70  tptp_output =    0
% 0.55/0.70  nonempty =       1
% 0.55/0.70  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.70  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.55/0.70  
% 0.55/0.70  
% 0.55/0.70  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.70  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.70  
% 0.55/0.70  RuleSystem INPUT:
% 0.55/0.70  
% 0.55/0.70  Initial Rules:
% 0.55/0.70  #0: input, references = 9, size of lhs = 10:
% 0.55/0.70     P_v_G-{F}(V0), P_c_Message_Oanalz-{F}(V0,V1), P_v_H-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_c_union-{F}(V1,V2,V3,V4), P_c_Message_Oanalz-{F}(V4,V5), P_c_union-{F}(V0,V2,V3,V6), P_c_Message_Oanalz-{F}(V6,V7), P_tc_set-{F}(V3,V8), c_lessequals-{F}(V5,V7,V8) | FALSE
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #1: input, references = 5, size of lhs = 12:
% 0.55/0.70     P_v_G-{F}(V0), P_c_Message_Oanalz-{F}(V0,V1), P_v_H-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_c_union-{F}(V1,V2,V3,V4), P_c_Message_Oanalz-{F}(V4,V5), P_c_union-{F}(V0,V2,V3,V6), P_c_Message_Oanalz-{F}(V6,V7), P_tc_set-{F}(V3,V8), P_c_Message_Oanalz-{F}(V10,V11), P_c_Message_Oanalz-{F}(V11,V12), c_in-{F}(V9,V12,V3) | c_in-{T}(V9,V11,V3)
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #2: input, references = 8, size of lhs = 19:
% 0.55/0.70     P_v_G-{F}(V0), P_c_Message_Oanalz-{F}(V0,V1), P_v_H-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_c_union-{F}(V1,V2,V3,V4), P_c_Message_Oanalz-{F}(V4,V5), P_c_union-{F}(V0,V2,V3,V6), P_c_Message_Oanalz-{F}(V6,V7), P_tc_set-{F}(V3,V8), P_c_Message_Oanalz-{F}(V9,V11), P_c_Message_Oanalz-{F}(V10,V12), c_lessequals-{F}(V11,V12,V8), P_c_Message_Oanalz-{F}(V14,V15), P_c_Message_Oanalz-{F}(V13,V16), P_c_union-{F}(V9,V14,V3,V17), P_c_Message_Oanalz-{F}(V17,V18), P_c_union-{F}(V10,V13,V3,V19), P_c_Message_Oanalz-{F}(V19,V20), c_lessequals-{F}(V15,V16,V8) | c_lessequals-{T}(V18,V20,V8)
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #3: input, references = 7, size of lhs = 11:
% 0.55/0.70     P_v_G-{F}(V0), P_c_Message_Oanalz-{F}(V0,V1), P_v_H-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_c_union-{F}(V1,V2,V3,V4), P_c_Message_Oanalz-{F}(V4,V5), P_c_union-{F}(V0,V2,V3,V6), P_c_Message_Oanalz-{F}(V6,V7), P_tc_set-{F}(V3,V8), P_c_Main_OsubsetI__1-{F}(V9,V10,V11,V12), P_tc_set-{F}(V11,V13) | c_in-{T}(V12,V9,V11), c_lessequals-{T}(V9,V10,V13)
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #4: input, references = 7, size of lhs = 12:
% 0.55/0.70     P_v_G-{F}(V0), P_c_Message_Oanalz-{F}(V0,V1), P_v_H-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_c_union-{F}(V1,V2,V3,V4), P_c_Message_Oanalz-{F}(V4,V5), P_c_union-{F}(V0,V2,V3,V6), P_c_Message_Oanalz-{F}(V6,V7), P_tc_set-{F}(V3,V8), P_c_Main_OsubsetI__1-{F}(V9,V10,V11,V12), P_tc_set-{F}(V11,V13), c_in-{F}(V12,V10,V11) | c_lessequals-{T}(V9,V10,V13)
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #5: input, references = 6, size of lhs = 11:
% 0.55/0.70     P_v_G-{F}(V0), P_c_Message_Oanalz-{F}(V0,V1), P_v_H-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_c_union-{F}(V1,V2,V3,V4), P_c_Message_Oanalz-{F}(V4,V5), P_c_union-{F}(V0,V2,V3,V6), P_c_Message_Oanalz-{F}(V6,V7), P_tc_set-{F}(V3,V8), #-{F} V9, P_tc_set-{F}(V10,V11) | c_lessequals-{T}(V9,V9,V11)
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #6: input, references = 10, size of lhs = 1:
% 0.55/0.70     #-{F} V0 | EXISTS V1: P_c_Message_Oanalz-{T}(V0,V1)
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #7: input, references = 6, size of lhs = 3:
% 0.55/0.70     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_union-{T}(V0,V1,V2,V3)
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #8: input, references = 4, size of lhs = 0:
% 0.55/0.70     FALSE | EXISTS V0: P_v_G-{T}(V0)
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #9: input, references = 4, size of lhs = 0:
% 0.55/0.70     FALSE | EXISTS V0: P_v_H-{T}(V0)
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #10: input, references = 5, size of lhs = 0:
% 0.55/0.70     FALSE | EXISTS V0: P_tc_Message_Omsg-{T}(V0)
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #11: input, references = 4, size of lhs = 1:
% 0.55/0.70     #-{F} V0 | EXISTS V1: P_tc_set-{T}(V0,V1)
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #12: input, references = 4, size of lhs = 3:
% 0.55/0.70     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Main_OsubsetI__1-{T}(V0,V1,V2,V3)
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  number of initial rules = 13
% 0.55/0.70  
% 0.55/0.70  Simplifiers:
% 0.55/0.70  #13: unsound, references = 3, size of lhs = 3:
% 0.55/0.70     P_c_Message_Oanalz-{F}(V0,V1), P_c_Message_Oanalz-{F}(V0,V3), V1 == V3 | FALSE
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #14: unsound, references = 3, size of lhs = 3:
% 0.55/0.70     P_c_union-{F}(V0,V1,V2,V3), P_c_union-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #15: unsound, references = 3, size of lhs = 3:
% 0.55/0.70     P_v_G-{F}(V0), P_v_G-{F}(V1), V0 == V1 | FALSE
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #16: unsound, references = 3, size of lhs = 3:
% 0.55/0.70     P_v_H-{F}(V0), P_v_H-{F}(V1), V0 == V1 | FALSE
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #17: unsound, references = 3, size of lhs = 3:
% 0.55/0.70     P_tc_Message_Omsg-{F}(V0), P_tc_Message_Omsg-{F}(V1), V0 == V1 | FALSE
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #18: unsound, references = 3, size of lhs = 3:
% 0.55/0.70     P_tc_set-{F}(V0,V1), P_tc_set-{F}(V0,V3), V1 == V3 | FALSE
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #19: unsound, references = 3, size of lhs = 3:
% 0.55/0.70     P_c_Main_OsubsetI__1-{F}(V0,V1,V2,V3), P_c_Main_OsubsetI__1-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  number of simplifiers = 7
% 0.55/0.70  
% 0.55/0.70  Learnt:
% 0.55/0.70  #42: mergings( V0 == V14, V1 == V15, V14 == V23, V15 == V24, V2 == V16, V16 == V25, V3 == V17, V4 == V18, V5 == V19, V6 == V20, V7 == V21, V17 == V26, V18 == V27, V19 == V28, V20 == V29, V21 == V9, V8 == V22, V22 == V30, V30 == V13; #22 ), references = 1, size of lhs = 12:
% 0.55/0.70     P_v_G-{F}(V0), P_c_Message_Oanalz-{F}(V0,V1), P_v_H-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_c_union-{F}(V1,V2,V3,V4), P_c_Message_Oanalz-{F}(V4,V5), P_c_union-{F}(V0,V2,V3,V6), P_c_Message_Oanalz-{F}(V6,V7), P_tc_set-{F}(V3,V8), P_tc_set-{F}(V9,V8), P_c_Main_OsubsetI__1-{F}(V5,V7,V9,V10), P_c_Main_OsubsetI__1-{F}(V7,V11,V9,V10) | c_lessequals-{T}(V7,V11,V8)
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #76: mergings( V0 == V14, V1 == V15, V14 == V23, V15 == V24, V23 == V32, V24 == V33, V2 == V16, V16 == V25, V25 == V34, V3 == V17, V4 == V18, V5 == V19, V6 == V20, V7 == V21, V17 == V26, V18 == V27, V19 == V28, V20 == V29, V21 == V30, V26 == V35, V27 == V36, V28 == V37, V29 == V38, V30 == V39, V8 == V22, V22 == V31, V31 == V13; #48 ), references = 1, size of lhs = 21:
% 0.55/0.70     P_v_G-{F}(V0), P_c_Message_Oanalz-{F}(V0,V1), P_v_H-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_tc_set-{F}(V3,V4), P_c_union-{F}(V1,V2,V3,V5), P_c_Message_Oanalz-{F}(V5,V6), P_c_union-{F}(V0,V2,V3,V7), P_c_Message_Oanalz-{F}(V7,V8), P_tc_set-{F}(V9,V4), P_c_Message_Oanalz-{F}(V10,V6), P_c_Message_Oanalz-{F}(V11,V8), P_c_Message_Oanalz-{F}(V12,V13), P_c_union-{F}(V12,V14,V3,V10), P_c_Message_Oanalz-{F}(V14,V15), c_lessequals-{F}(V15,V16,V4), P_c_Message_Oanalz-{F}(V17,V16), P_c_union-{F}(V18,V17,V3,V11), P_c_Message_Oanalz-{F}(V18,V19), P_c_Main_OsubsetI__1-{F}(V13,V19,V9,V20), P_c_Main_OsubsetI__1-{F}(V19,V21,V9,V20) | c_lessequals-{T}(V19,V21,V4)
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #135: mergings( V2 == V9, V3 == V10, V9 == V16, V10 == V17, V16 == V23, V17 == V24, V23 == V30, V24 == V31, V30 == V38, V31 == V39, V38 == V46, V39 == V47, V46 == V52, V47 == V53, V52 == V58, V53 == V59, V4 == V11, V11 == V18, V18 == V25, V25 == V32, V32 == V40, V40 == V48, V48 == V54, V54 == V60, V5 == V12, V6 == V13, V7 == V14, V12 == V19, V13 == V20, V14 == V21, V19 == V26, V20 == V27, V21 == V28, V26 == V33, V27 == V34, V28 == V35, V33 == V41, V34 == V42, V35 == V43, V41 == V49, V42 == V50, V43 == V51, V49 == V55, V50 == V56, V51 == V57, V55 == V61, V56 == V62, V57 == V63, V8 == V15, V15 == V22, V22 == V29, V29 == V36; #82 ), references = 1, size of lhs = 35:
% 0.55/0.70     P_v_G-{F}(V0), P_c_Message_Oanalz-{F}(V0,V1), P_v_H-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4), P_tc_set-{F}(V6,V4), P_tc_set-{F}(V7,V4), P_c_union-{F}(V0,V2,V3,V8), P_c_union-{F}(V1,V2,V3,V9), P_c_Message_Oanalz-{F}(V9,V10), P_c_Message_Oanalz-{F}(V11,V10), P_c_Message_Oanalz-{F}(V12,V10), P_c_Message_Oanalz-{F}(V13,V14), P_c_union-{F}(V13,V15,V3,V11), P_c_Message_Oanalz-{F}(V15,V16), P_c_Message_Oanalz-{F}(V17,V16), P_c_union-{F}(V18,V17,V3,V8), P_c_Message_Oanalz-{F}(V18,V19), P_c_Main_OsubsetI__1-{F}(V14,V19,V6,V20), P_c_Message_Oanalz-{F}(V21,V19), P_c_Message_Oanalz-{F}(V22,V16), P_c_union-{F}(V23,V22,V3,V12), P_c_Message_Oanalz-{F}(V23,V24), P_c_Message_Oanalz-{F}(V25,V16), P_c_union-{F}(V26,V25,V3,V8), P_c_Message_Oanalz-{F}(V26,V27), P_c_Main_OsubsetI__1-{F}(V19,V28,V6,V20), P_c_Message_Oanalz-{F}(V29,V28), P_c_Message_Oanalz-{F}(V30,V24), P_c_union-{F}(V31,V21,V3,V30), P_c_Message_Oanalz-{F}(V31,V32), P_c_Message_Oanalz-{F}(V33,V32), P_c_union-{F}(V33,V29,V3,V34), P_c_Message_Oanalz-{F}(V34,V27) | FALSE
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #167: mergings( V4 == V8, V8 == V12, V12 == V16, V16 == V20, V20 == V25, V25 == V30, V30 == V33, V33 == V36, V36 == V45, V45 == V51, V5 == V9, V6 == V10, V9 == V13, V10 == V14, V13 == V17, V14 == V18, V17 == V21, V18 == V22, V21 == V26, V22 == V27, V26 == V31, V27 == V32, V31 == V34, V32 == V35, V34 == V37, V35 == V38, V7 == V11, V11 == V15, V15 == V19, V19 == V23; #136 ), references = 1, size of lhs = 29:
% 0.55/0.70     P_v_G-{F}(V0), P_v_H-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_tc_set-{F}(V5,V3), P_tc_set-{F}(V6,V3), P_c_Message_Oanalz-{F}(V1,V7), P_c_Message_Oanalz-{F}(V8,V7), P_c_Message_Oanalz-{F}(V9,V7), P_c_Message_Oanalz-{F}(V0,V10), P_c_union-{F}(V10,V1,V2,V11), P_c_Message_Oanalz-{F}(V11,V12), P_c_Message_Oanalz-{F}(V13,V10), P_c_Message_Oanalz-{F}(V14,V12), P_c_union-{F}(V15,V8,V2,V14), P_c_Message_Oanalz-{F}(V15,V16), P_c_Main_OsubsetI__1-{F}(V16,V10,V5,V17), P_c_Message_Oanalz-{F}(V18,V12), P_c_union-{F}(V19,V9,V2,V18), P_c_Message_Oanalz-{F}(V19,V20), P_c_Main_OsubsetI__1-{F}(V10,V21,V5,V17), P_c_Message_Oanalz-{F}(V22,V21), P_c_Message_Oanalz-{F}(V23,V20), P_c_union-{F}(V24,V13,V2,V23), P_c_Message_Oanalz-{F}(V24,V25), P_c_Message_Oanalz-{F}(V26,V25), P_c_union-{F}(V26,V22,V2,V27), P_c_Message_Oanalz-{F}(V27,V10) | FALSE
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #199: mergings( V0 == V14, V1 == V15, V14 == V22, V15 == V23, V22 == V31, V23 == V32, V2 == V16, V16 == V24, V24 == V33, V3 == V11, V4 == V17, V5 == V18, V6 == V19, V7 == V20, V11 == V25, V17 == V26, V18 == V27, V19 == V28, V20 == V29, V25 == V34, V26 == V35, V27 == V36, V28 == V37, V29 == V38, V8 == V13, V13 == V21, V21 == V30, V30 == V40; #170 ), references = 1, size of lhs = 13:
% 0.55/0.70     P_v_G-{F}(V0), P_c_Message_Oanalz-{F}(V0,V1), P_v_H-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_c_union-{F}(V1,V2,V3,V4), P_c_Message_Oanalz-{F}(V4,V5), P_c_union-{F}(V0,V2,V3,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Oanalz-{F}(V8,V7), P_c_Message_Oanalz-{F}(V7,V9), P_tc_set-{F}(V3,V10), P_c_Main_OsubsetI__1-{F}(V5,V7,V3,V11), P_c_Main_OsubsetI__1-{F}(V9,V12,V3,V11) | c_lessequals-{T}(V9,V12,V10)
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #241: mergings( V0 == V14, V1 == V15, V14 == V22, V15 == V23, V22 == V31, V23 == V32, V31 == V40, V32 == V41, V2 == V16, V16 == V24, V24 == V33, V33 == V42, V3 == V11, V4 == V17, V5 == V18, V6 == V19, V7 == V20, V11 == V25, V17 == V26, V18 == V27, V19 == V28, V20 == V29, V25 == V34, V26 == V35, V27 == V36, V28 == V37, V29 == V38, V34 == V43, V35 == V44, V36 == V45, V37 == V46, V38 == V47, V8 == V13, V13 == V21, V21 == V30, V30 == V39; #204 ), references = 1, size of lhs = 22:
% 0.55/0.70     P_v_G-{F}(V0), P_c_Message_Oanalz-{F}(V0,V1), P_v_H-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_tc_set-{F}(V3,V4), P_c_union-{F}(V1,V2,V3,V5), P_c_Message_Oanalz-{F}(V5,V6), P_c_union-{F}(V0,V2,V3,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Oanalz-{F}(V9,V6), P_c_Message_Oanalz-{F}(V10,V8), P_c_Message_Oanalz-{F}(V11,V12), P_c_Message_Oanalz-{F}(V12,V13), P_c_Message_Oanalz-{F}(V14,V12), P_c_union-{F}(V14,V15,V3,V10), P_c_Message_Oanalz-{F}(V15,V16), c_lessequals-{F}(V17,V16,V4), P_c_Message_Oanalz-{F}(V18,V17), P_c_union-{F}(V19,V18,V3,V9), P_c_Message_Oanalz-{F}(V19,V20), P_c_Main_OsubsetI__1-{F}(V20,V12,V3,V21), P_c_Main_OsubsetI__1-{F}(V13,V22,V3,V21) | c_lessequals-{T}(V13,V22,V4)
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #292: mergings( V2 == V9, V3 == V10, V9 == V16, V10 == V17, V16 == V23, V17 == V24, V23 == V30, V24 == V31, V30 == V38, V31 == V39, V38 == V44, V39 == V45, V44 == V50, V45 == V51, V4 == V11, V11 == V18, V18 == V25, V25 == V32, V32 == V40, V40 == V46, V46 == V52, V5 == V12, V6 == V13, V7 == V14, V12 == V19, V13 == V20, V14 == V21, V19 == V26, V20 == V27, V21 == V28, V26 == V33, V27 == V34, V28 == V35, V33 == V41, V34 == V42, V35 == V43, V41 == V47, V42 == V48, V43 == V49, V47 == V53, V48 == V54, V49 == V55, V8 == V15, V15 == V22, V22 == V29, V29 == V36; #245 ), references = 1, size of lhs = 27:
% 0.55/0.70     P_v_G-{F}(V0), P_c_Message_Oanalz-{F}(V0,V1), P_v_H-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4), P_c_union-{F}(V0,V2,V3,V6), P_c_union-{F}(V1,V2,V3,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Oanalz-{F}(V9,V8), P_c_Message_Oanalz-{F}(V10,V8), P_c_Message_Oanalz-{F}(V11,V12), P_c_Message_Oanalz-{F}(V12,V13), P_c_Message_Oanalz-{F}(V14,V12), P_c_union-{F}(V14,V15,V3,V6), P_c_Message_Oanalz-{F}(V15,V16), P_c_Message_Oanalz-{F}(V17,V13), P_c_union-{F}(V17,V18,V3,V10), P_c_Message_Oanalz-{F}(V18,V16), P_c_Message_Oanalz-{F}(V19,V16), P_c_union-{F}(V20,V19,V3,V9), P_c_Message_Oanalz-{F}(V20,V21), P_c_Main_OsubsetI__1-{F}(V21,V12,V3,V22), P_c_Message_Oanalz-{F}(V23,V16), P_c_union-{F}(V24,V23,V3,V6), P_c_Message_Oanalz-{F}(V24,V25), P_c_Main_OsubsetI__1-{F}(V13,V25,V3,V22) | FALSE
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #321: mergings( V4 == V8, V8 == V12, V12 == V16, V16 == V20, V20 == V25, V25 == V28, V28 == V31, V31 == V37, V37 == V46, V5 == V9, V6 == V10, V9 == V13, V10 == V14, V13 == V17, V14 == V18, V17 == V21, V18 == V22, V21 == V26, V22 == V27, V26 == V29, V27 == V30, V29 == V32, V30 == V33, V7 == V11, V11 == V15, V15 == V19, V19 == V23; #293 ), references = 1, size of lhs = 21:
% 0.55/0.70     P_v_G-{F}(V0), P_v_H-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_c_Message_Oanalz-{F}(V1,V5), P_c_Message_Oanalz-{F}(V6,V5), P_c_Message_Oanalz-{F}(V7,V5), P_c_Message_Oanalz-{F}(V0,V8), P_c_union-{F}(V8,V1,V2,V9), P_c_Message_Oanalz-{F}(V9,V10), P_c_Message_Oanalz-{F}(V11,V8), P_c_Message_Oanalz-{F}(V8,V12), P_c_Message_Oanalz-{F}(V13,V12), P_c_union-{F}(V13,V6,V2,V14), P_c_Message_Oanalz-{F}(V14,V10), P_c_Main_OsubsetI__1-{F}(V12,V8,V2,V15), P_c_Message_Oanalz-{F}(V16,V10), P_c_union-{F}(V17,V7,V2,V16), P_c_Message_Oanalz-{F}(V17,V18), P_c_Main_OsubsetI__1-{F}(V18,V8,V2,V15) | FALSE
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #349: mergings( V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V1, V14 == V17, V15 == V18, V17 == V20, V18 == V21, V20 == V23, V21 == V24, V23 == V26, V24 == V27, V26 == V28, V27 == V29, V28 == V30, V29 == V31, V30 == V34, V31 == V35, V16 == V19, V19 == V22, V22 == V25, V25 == V32; #322 ), references = 2, size of lhs = 19:
% 0.55/0.70     P_v_G-{F}(V0), P_v_H-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_c_Message_Oanalz-{F}(V1,V5), P_c_Message_Oanalz-{F}(V6,V5), P_c_Message_Oanalz-{F}(V7,V5), P_c_Message_Oanalz-{F}(V0,V8), P_c_union-{F}(V8,V1,V2,V9), P_c_Message_Oanalz-{F}(V9,V10), P_c_Message_Oanalz-{F}(V11,V8), P_c_Message_Oanalz-{F}(V8,V12), P_c_Message_Oanalz-{F}(V13,V12), P_c_union-{F}(V13,V6,V2,V14), P_c_Message_Oanalz-{F}(V14,V10), P_c_Message_Oanalz-{F}(V15,V12), P_c_union-{F}(V15,V7,V2,V16), P_c_Message_Oanalz-{F}(V16,V10) | FALSE
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #351: exists( #6, #349 ), references = 1, size of lhs = 16:
% 0.55/0.70     P_v_G-{F}(V0), P_v_H-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_c_Message_Oanalz-{F}(V1,V5), P_c_Message_Oanalz-{F}(V6,V5), P_c_Message_Oanalz-{F}(V7,V5), P_c_Message_Oanalz-{F}(V0,V8), P_c_union-{F}(V8,V1,V2,V9), P_c_Message_Oanalz-{F}(V10,V8), P_c_Message_Oanalz-{F}(V8,V11), P_c_Message_Oanalz-{F}(V12,V11), P_c_union-{F}(V12,V6,V2,V9), P_c_Message_Oanalz-{F}(V13,V11), P_c_union-{F}(V13,V7,V2,V9) | FALSE
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #353: exists( #7, #350 ), references = 1, size of lhs = 9:
% 0.55/0.70     P_v_G-{F}(V0), P_v_H-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_c_Message_Oanalz-{F}(V1,V5), P_c_Message_Oanalz-{F}(V0,V6), P_c_Message_Oanalz-{F}(V7,V6), P_c_Message_Oanalz-{F}(V6,V8) | FALSE
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #355: exists( #11, #352 ), references = 2, size of lhs = 7:
% 0.55/0.70     P_v_G-{F}(V0), P_v_H-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_c_Message_Oanalz-{F}(V1,V3), P_c_Message_Oanalz-{F}(V0,V4), P_c_Message_Oanalz-{F}(V5,V4), P_c_Message_Oanalz-{F}(V4,V6) | FALSE
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #358: exists( #6, #355 ), references = 2, size of lhs = 6:
% 0.55/0.70     P_v_G-{F}(V0), P_v_H-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_c_Message_Oanalz-{F}(V1,V3), P_c_Message_Oanalz-{F}(V0,V4), P_c_Message_Oanalz-{F}(V5,V4) | FALSE
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #360: exists( #6, #356 ), references = 1, size of lhs = 3:
% 0.55/0.70     P_v_G-{F}(V0), P_v_H-{F}(V0), P_tc_Message_Omsg-{F}(V1) | FALSE
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #362: exists( #10, #359 ), references = 1, size of lhs = 2:
% 0.55/0.70     P_v_G-{F}(V0), P_v_H-{F}(V0) | FALSE
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #366: exists( #6, #358 ), references = 1, size of lhs = 5:
% 0.55/0.70     P_v_G-{F}(V0), P_v_H-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_c_Message_Oanalz-{F}(V0,V3), P_c_Message_Oanalz-{F}(V4,V3) | FALSE
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #368: exists( #6, #363 ), references = 1, size of lhs = 3:
% 0.55/0.70     P_v_G-{F}(V0), P_v_H-{F}(V1), P_tc_Message_Omsg-{F}(V2) | FALSE
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #370: exists( #10, #367 ), references = 1, size of lhs = 2:
% 0.55/0.70     P_v_G-{F}(V0), P_v_H-{F}(V1) | FALSE
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #372: exists( #9, #369 ), references = 1, size of lhs = 1:
% 0.55/0.70     P_v_G-{F}(V0) | FALSE
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  #374: exists( #8, #371 ), references = 1, size of lhs = 0:
% 0.55/0.70     FALSE | FALSE
% 0.55/0.70        (used 0 times, uses = {})
% 0.55/0.70  
% 0.55/0.70  number of learnt formulas = 20
% 0.55/0.70  
% 0.55/0.70  
% 0.55/0.70  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.70  
% 0.55/0.70  randbase = 1
%------------------------------------------------------------------------------