TSTP Solution File: SWV245-2 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SWV245-2 : 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 06:21:14 EDT 2022
% Result : Unsatisfiable 15.77s 16.01s
% Output : Refutation 15.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWV245-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % 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 16:03:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 15.77/16.01 GeoParameters:
% 15.77/16.01
% 15.77/16.01 tptp_input = 1
% 15.77/16.01 tptp_output = 0
% 15.77/16.01 nonempty = 1
% 15.77/16.01 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.77/16.01 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 15.77/16.01
% 15.77/16.01
% 15.77/16.01 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.77/16.01 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.77/16.01
% 15.77/16.01 RuleSystem INPUT:
% 15.77/16.01
% 15.77/16.01 Initial Rules:
% 15.77/16.01 #0: input, references = 31, size of lhs = 10:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V3,V4,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Osynth-{F}(V3,V8), P_c_union-{F}(V7,V8,V5,V9) | c_in-{T}(V2,V9,V5)
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1: input, references = 35, size of lhs = 11:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V3,V4,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Osynth-{F}(V3,V8), P_c_union-{F}(V7,V8,V5,V9), c_in-{F}(V0,V9,V5) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #2: input, references = 34, size of lhs = 13:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V3,V4,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Osynth-{F}(V3,V8), P_c_union-{F}(V7,V8,V5,V9), P_c_Message_Oanalz-{F}(V11,V12), P_c_Message_Omsg_OMPair-{F}(V10,V13,V14), c_in-{F}(V14,V12,V5) | c_in-{T}(V10,V12,V5)
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #3: input, references = 5, size of lhs = 13:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V3,V4,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Osynth-{F}(V3,V8), P_c_union-{F}(V7,V8,V5,V9), P_c_Message_Osynth-{F}(V11,V12), P_c_Message_Omsg_OMPair-{F}(V10,V13,V14), c_in-{F}(V14,V12,V5) | c_in-{T}(V10,V12,V5), c_in-{T}(V14,V11,V5)
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #4: input, references = 19, size of lhs = 12:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V3,V4,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Osynth-{F}(V3,V8), P_c_union-{F}(V7,V8,V5,V9), P_c_Message_Oanalz-{F}(V11,V12), c_in-{F}(V10,V11,V5) | c_in-{T}(V10,V12,V5)
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #5: input, references = 30, size of lhs = 12:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V3,V4,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Osynth-{F}(V3,V8), P_c_union-{F}(V7,V8,V5,V9), c_in-{F}(V10,V11,V12), P_c_union-{F}(V13,V11,V12,V14) | c_in-{T}(V10,V14,V12)
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #6: input, references = 34, size of lhs = 12:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V3,V4,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Osynth-{F}(V3,V8), P_c_union-{F}(V7,V8,V5,V9), c_in-{F}(V10,V12,V11), P_c_union-{F}(V12,V13,V11,V14) | c_in-{T}(V10,V14,V11)
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #7: input, references = 6, size of lhs = 12:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V3,V4,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Osynth-{F}(V3,V8), P_c_union-{F}(V7,V8,V5,V9), P_c_union-{F}(V12,V13,V11,V14), c_in-{F}(V10,V14,V11) | c_in-{T}(V10,V12,V11), c_in-{T}(V10,V13,V11)
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #8: input, references = 7, size of lhs = 2:
% 15.77/16.01 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Message_Omsg_OMPair-{T}(V0,V1,V2)
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #9: input, references = 4, size of lhs = 0:
% 15.77/16.01 FALSE | EXISTS V0: P_v_X-{T}(V0)
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #10: input, references = 4, size of lhs = 0:
% 15.77/16.01 FALSE | EXISTS V0: P_v_Y-{T}(V0)
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #11: input, references = 36, size of lhs = 3:
% 15.77/16.01 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_union-{T}(V0,V1,V2,V3)
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #12: input, references = 8, size of lhs = 1:
% 15.77/16.01 #-{F} V0 | EXISTS V1: P_c_Message_Oanalz-{T}(V0,V1)
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #13: input, references = 4, size of lhs = 0:
% 15.77/16.01 FALSE | EXISTS V0: P_v_G-{T}(V0)
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #14: input, references = 4, size of lhs = 0:
% 15.77/16.01 FALSE | EXISTS V0: P_v_H-{T}(V0)
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #15: input, references = 5, size of lhs = 0:
% 15.77/16.01 FALSE | EXISTS V0: P_tc_Message_Omsg-{T}(V0)
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #16: input, references = 5, size of lhs = 1:
% 15.77/16.01 #-{F} V0 | EXISTS V1: P_c_Message_Osynth-{T}(V0,V1)
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 number of initial rules = 17
% 15.77/16.01
% 15.77/16.01 Simplifiers:
% 15.77/16.01 #17: unsound, references = 3, size of lhs = 3:
% 15.77/16.01 c_in-{F}(V0,V1,V2), c_in-{F}(V3,V4,V5), V2 == V5 | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #18: unsound, references = 3, size of lhs = 3:
% 15.77/16.01 P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_c_Message_Omsg_OMPair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #19: unsound, references = 3, size of lhs = 3:
% 15.77/16.01 P_v_X-{F}(V0), P_v_X-{F}(V1), V0 == V1 | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #20: unsound, references = 3, size of lhs = 3:
% 15.77/16.01 P_v_Y-{F}(V0), P_v_Y-{F}(V1), V0 == V1 | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #21: unsound, references = 3, size of lhs = 3:
% 15.77/16.01 P_c_union-{F}(V0,V1,V2,V3), P_c_union-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #22: unsound, references = 3, size of lhs = 3:
% 15.77/16.01 P_c_Message_Oanalz-{F}(V0,V1), P_c_Message_Oanalz-{F}(V0,V3), V1 == V3 | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #23: unsound, references = 3, size of lhs = 3:
% 15.77/16.01 P_v_G-{F}(V0), P_v_G-{F}(V1), V0 == V1 | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #24: unsound, references = 3, size of lhs = 3:
% 15.77/16.01 P_v_H-{F}(V0), P_v_H-{F}(V1), V0 == V1 | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #25: unsound, references = 3, size of lhs = 3:
% 15.77/16.01 P_tc_Message_Omsg-{F}(V0), P_tc_Message_Omsg-{F}(V1), V0 == V1 | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #26: unsound, references = 3, size of lhs = 3:
% 15.77/16.01 P_c_Message_Osynth-{F}(V0,V1), P_c_Message_Osynth-{F}(V0,V3), V1 == V3 | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 number of simplifiers = 10
% 15.77/16.01
% 15.77/16.01 Learnt:
% 15.77/16.01 #37: mergings( V4 == V6, V5 == V9, V6 == V10, V7 == V11, V8 == V12, V13 == V14; #30 ), references = 1, size of lhs = 9:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V0), P_v_G-{F}(V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V2,V4,V5,V6), P_c_Message_Oanalz-{F}(V6,V7) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #44: mergings( V2 == V4, V3 == V8, V4 == V9, V5 == V10, V6 == V11; #38 ), references = 1, size of lhs = 8:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V0), P_v_G-{F}(V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V2,V4,V5,V6) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #49: mergings( V4 == V6, V5 == V8, V6 == V9; #45 ), references = 1, size of lhs = 7:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V0), P_v_G-{F}(V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #107: mergings( V0 == V15, V15 == V25, V25 == V31, V31 == V41, V1 == V16, V2 == V17, V16 == V26, V17 == V27, V26 == V32, V27 == V33, V32 == V42, V33 == V43, V3 == V18, V18 == V28, V28 == V34, V34 == V44, V4 == V19, V19 == V29, V29 == V35, V35 == V45, V46 == V49, V47 == V50, V5 == V20, V6 == V21, V7 == V22, V20 == V36, V21 == V37, V22 == V38, V36 == V12, V37 == V49, V38 == V50, V8 == V23, V9 == V24, V23 == V30, V24 == V48, V30 == V39, V40 == V48, V39 == V51, V48 == V52; #67 ), references = 6, size of lhs = 16:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V3,V4,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Osynth-{F}(V3,V8), P_c_union-{F}(V7,V8,V5,V9), P_c_Message_Oanalz-{F}(V10,V11), P_c_union-{F}(V11,V12,V5,V9), P_c_union-{F}(V13,V14,V5,V11), P_c_union-{F}(V14,V15,V5,V16), c_in-{F}(V17,V16,V5), P_c_Message_Omsg_OMPair-{F}(V0,V18,V17) | c_in-{T}(V17,V15,V5)
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #168: mergings( V4 == V9, V9 == V15, V15 == V21, V21 == V26, V26 == V32, V32 == V37, V37 == V43, V43 == V48, V48 == V54, V5 == V10, V6 == V11, V10 == V16, V11 == V17, V16 == V22, V17 == V23, V22 == V27, V23 == V28, V27 == V33, V28 == V34, V33 == V38, V34 == V39, V38 == V44, V39 == V45, V44 == V49, V45 == V50, V49 == V55, V50 == V56, V7 == V12, V12 == V18, V18 == V24, V24 == V29, V29 == V35, V35 == V40, V40 == V46, V46 == V51, V51 == V57, V8 == V13, V14 == V59, V13 == V19, V20 == V59, V19 == V25, V59 == V60, V25 == V30, V31 == V60, V30 == V36, V60 == V61, V36 == V41, V42 == V61, V41 == V47, V61 == V62, V47 == V52, V53 == V62, V52 == V58, V62 == V63; #113 ), references = 1, size of lhs = 15:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_Message_Osynth-{F}(V3,V4), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V3,V5,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Omsg_OMPair-{F}(V0,V9,V2), P_c_Message_Omsg_OMPair-{F}(V0,V10,V2), P_c_Message_Oanalz-{F}(V11,V8), P_c_union-{F}(V12,V8,V6,V8), P_c_Message_Oanalz-{F}(V13,V8), P_c_union-{F}(V14,V4,V6,V8) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #222: mergings( V0 == V15, V15 == V25, V25 == V31, V31 == V41, V1 == V16, V2 == V17, V16 == V26, V17 == V27, V26 == V32, V27 == V33, V32 == V42, V33 == V43, V3 == V18, V18 == V28, V28 == V34, V34 == V44, V4 == V19, V19 == V29, V29 == V35, V35 == V45, V46 == V49, V47 == V50, V5 == V20, V6 == V21, V7 == V22, V20 == V36, V21 == V37, V22 == V38, V36 == V12, V37 == V49, V38 == V50, V8 == V23, V9 == V24, V23 == V30, V24 == V48, V30 == V39, V40 == V48, V39 == V51, V48 == V52; #182 ), references = 4, size of lhs = 16:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V3,V4,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Osynth-{F}(V3,V8), P_c_union-{F}(V7,V8,V5,V9), P_c_Message_Oanalz-{F}(V10,V11), P_c_union-{F}(V11,V12,V5,V9), P_c_union-{F}(V13,V14,V5,V11), P_c_union-{F}(V15,V14,V5,V16), c_in-{F}(V17,V16,V5), P_c_Message_Omsg_OMPair-{F}(V0,V18,V17) | c_in-{T}(V17,V15,V5)
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #276: mergings( V4 == V9, V9 == V15, V15 == V21, V21 == V26, V26 == V32, V32 == V37, V37 == V42, V42 == V48, V5 == V10, V6 == V11, V10 == V16, V11 == V17, V16 == V22, V17 == V23, V22 == V27, V23 == V28, V27 == V33, V28 == V34, V33 == V38, V34 == V39, V38 == V43, V39 == V44, V43 == V49, V44 == V50, V7 == V12, V12 == V18, V18 == V24, V24 == V29, V29 == V35, V35 == V40, V40 == V45, V45 == V51, V8 == V13, V14 == V53, V13 == V19, V20 == V53, V19 == V25, V53 == V54, V25 == V30, V31 == V54, V30 == V36, V54 == V55, V36 == V41, V55 == V56, V41 == V46, V47 == V56, V46 == V52, V56 == V57; #227 ), references = 1, size of lhs = 14:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_Message_Osynth-{F}(V3,V4), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V3,V5,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Omsg_OMPair-{F}(V0,V9,V2), P_c_Message_Omsg_OMPair-{F}(V0,V10,V2), P_c_Message_Oanalz-{F}(V11,V8), P_c_union-{F}(V12,V4,V6,V8), P_c_Message_Oanalz-{F}(V13,V8) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #326: mergings( V4 == V9, V9 == V14, V14 == V20, V20 == V25, V25 == V30, V30 == V36, V5 == V10, V6 == V11, V10 == V15, V11 == V16, V15 == V21, V16 == V22, V21 == V26, V22 == V27, V26 == V31, V27 == V32, V31 == V37, V32 == V38, V7 == V12, V12 == V17, V17 == V23, V23 == V28, V28 == V33, V33 == V39, V8 == V13, V41 == V42, V13 == V18, V19 == V42, V18 == V24, V42 == V43, V24 == V29, V43 == V44, V29 == V34, V35 == V44, V34 == V40, V44 == V45; #289 ), references = 1, size of lhs = 16:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_Message_Osynth-{F}(V3,V4), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V3,V5,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Omsg_OMPair-{F}(V0,V9,V2), P_c_Message_Omsg_OMPair-{F}(V0,V10,V2), P_c_Message_Oanalz-{F}(V11,V8), P_c_union-{F}(V12,V8,V6,V8), P_c_Message_Oanalz-{F}(V13,V8), P_c_Message_Oanalz-{F}(V14,V8), P_c_union-{F}(V15,V4,V6,V14) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #377: mergings( V0 == V15, V15 == V21, V21 == V31, V1 == V16, V2 == V17, V16 == V22, V17 == V23, V22 == V32, V23 == V33, V3 == V18, V18 == V24, V24 == V34, V4 == V19, V19 == V25, V25 == V35, V36 == V39, V37 == V40, V5 == V26, V6 == V27, V7 == V28, V26 == V12, V27 == V39, V28 == V40, V8 == V20, V9 == V38, V20 == V29, V30 == V38, V29 == V41, V38 == V42; #347 ), references = 25, size of lhs = 15:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V3,V4,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Osynth-{F}(V3,V8), P_c_union-{F}(V7,V8,V5,V9), P_c_Message_Oanalz-{F}(V10,V11), P_c_union-{F}(V11,V12,V5,V9), P_c_union-{F}(V11,V13,V5,V14), c_in-{F}(V15,V14,V5), P_c_Message_Omsg_OMPair-{F}(V0,V16,V15) | c_in-{T}(V15,V13,V5)
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #425: mergings( V4 == V9, V9 == V15, V15 == V20, V20 == V26, V26 == V31, V31 == V36, V36 == V42, V5 == V10, V6 == V11, V10 == V16, V11 == V17, V16 == V21, V17 == V22, V21 == V27, V22 == V28, V27 == V32, V28 == V33, V32 == V37, V33 == V38, V37 == V43, V38 == V44, V7 == V12, V12 == V18, V18 == V23, V23 == V29, V29 == V34, V34 == V39, V39 == V45, V8 == V13, V14 == V47, V13 == V19, V47 == V48, V19 == V24, V25 == V48, V24 == V30, V48 == V49, V30 == V35, V49 == V50, V35 == V40, V41 == V50, V40 == V46, V50 == V51; #382 ), references = 1, size of lhs = 13:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_Message_Osynth-{F}(V3,V4), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V3,V5,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Omsg_OMPair-{F}(V0,V9,V2), P_c_Message_Omsg_OMPair-{F}(V0,V10,V2), P_c_Message_Oanalz-{F}(V11,V8), P_c_Message_Oanalz-{F}(V12,V4) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #462: mergings( V2 == V8, V8 == V13, V13 == V18, V18 == V23, V23 == V28, V28 == V33, V33 == V38, V3 == V9, V4 == V10, V9 == V14, V10 == V15, V14 == V19, V15 == V20, V19 == V24, V20 == V25, V24 == V29, V25 == V30, V29 == V34, V30 == V35, V34 == V39, V35 == V40, V5 == V11, V11 == V16, V16 == V21, V21 == V26, V26 == V31, V31 == V36, V36 == V41, V6 == V12, V12 == V17, V17 == V22, V22 == V27, V27 == V32, V32 == V37, V37 == V42; #426 ), references = 1, size of lhs = 11:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_Message_Osynth-{F}(V3,V4), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V3,V5,V6,V7), P_c_Message_Omsg_OMPair-{F}(V0,V8,V2), P_c_Message_Omsg_OMPair-{F}(V0,V9,V2), P_c_Message_Oanalz-{F}(V10,V4) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #485: mergings( V4 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V23, V23 == V26, V5 == V9, V6 == V10, V9 == V12, V10 == V13, V12 == V15, V13 == V16, V15 == V18, V16 == V19, V18 == V21, V19 == V22, V21 == V24, V22 == V25, V24 == V27, V25 == V28; #463 ), references = 1, size of lhs = 10:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_Message_Osynth-{F}(V3,V4), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_Message_Omsg_OMPair-{F}(V0,V7,V2), P_c_Message_Omsg_OMPair-{F}(V0,V8,V2), P_c_Message_Oanalz-{F}(V9,V4) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #487: exists( #8, #463 ), references = 1, size of lhs = 7:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_v_G-{F}(V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_Message_Oanalz-{F}(V6,V3) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #528: mergings( V4 == V9, V9 == V14, V14 == V19, V19 == V24, V24 == V30, V5 == V10, V6 == V11, V10 == V15, V11 == V16, V15 == V20, V16 == V21, V20 == V25, V21 == V26, V25 == V31, V26 == V32, V7 == V12, V12 == V17, V17 == V22, V22 == V27, V27 == V33, V8 == V13, V35 == V36, V13 == V18, V36 == V37, V18 == V23, V37 == V38, V23 == V28, V29 == V38, V28 == V34, V38 == V39; #497 ), references = 1, size of lhs = 14:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_Message_Osynth-{F}(V3,V4), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_Message_Oanalz-{F}(V4,V7), P_c_union-{F}(V3,V5,V6,V8), P_c_Message_Oanalz-{F}(V8,V7), P_c_Message_Omsg_OMPair-{F}(V0,V9,V2), P_c_Message_Omsg_OMPair-{F}(V0,V10,V2), P_c_Message_Oanalz-{F}(V11,V7), P_c_Message_Oanalz-{F}(V12,V7) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #583: mergings( V4 == V9, V9 == V14, V14 == V19, V19 == V24, V24 == V30, V30 == V35, V35 == V41, V5 == V10, V6 == V11, V10 == V15, V11 == V16, V15 == V20, V16 == V21, V20 == V25, V21 == V26, V25 == V31, V26 == V32, V31 == V36, V32 == V37, V36 == V43, V37 == V44, V7 == V12, V12 == V17, V17 == V22, V22 == V27, V27 == V33, V33 == V38, V38 == V45, V8 == V13, V47 == V48, V13 == V18, V48 == V49, V18 == V23, V49 == V50, V23 == V28, V29 == V50, V28 == V34, V50 == V51, V34 == V39, V40 == V51, V39 == V46, V51 == V52; #540 ), references = 1, size of lhs = 19:
% 15.77/16.01 P_v_X-{F}(V0), P_c_Message_Omsg_OMPair-{F}(V0,V1,V0), P_v_Y-{F}(V2), P_c_Message_Omsg_OMPair-{F}(V0,V2,V3), P_v_G-{F}(V4), P_c_Message_Osynth-{F}(V4,V5), P_v_H-{F}(V6), P_tc_Message_Omsg-{F}(V7), P_c_union-{F}(V4,V6,V7,V8), P_c_Message_Oanalz-{F}(V8,V9), P_c_Message_Omsg_OMPair-{F}(V0,V10,V3), P_c_Message_Omsg_OMPair-{F}(V0,V11,V3), P_c_Message_Oanalz-{F}(V12,V9), P_c_Message_Oanalz-{F}(V5,V13), P_c_Message_Oanalz-{F}(V14,V13), P_c_Message_Oanalz-{F}(V15,V9), P_c_union-{F}(V13,V16,V7,V17), P_c_union-{F}(V18,V5,V7,V17), P_c_union-{F}(V19,V18,V7,V9) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #631: mergings( V4 == V9, V9 == V14, V14 == V19, V19 == V24, V24 == V30, V30 == V36, V5 == V10, V6 == V11, V10 == V15, V11 == V16, V15 == V20, V16 == V21, V20 == V25, V21 == V26, V25 == V31, V26 == V32, V31 == V37, V32 == V38, V7 == V12, V12 == V17, V17 == V22, V22 == V27, V27 == V33, V33 == V39, V8 == V13, V41 == V42, V13 == V18, V42 == V43, V18 == V23, V43 == V44, V23 == V28, V29 == V44, V28 == V34, V35 == V44, V34 == V40, V44 == V45; #594 ), references = 1, size of lhs = 15:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_Message_Osynth-{F}(V3,V4), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V3,V5,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Omsg_OMPair-{F}(V0,V9,V2), P_c_Message_Omsg_OMPair-{F}(V0,V10,V2), P_c_Message_Oanalz-{F}(V11,V8), P_c_Message_Oanalz-{F}(V4,V12), P_c_Message_Oanalz-{F}(V13,V12), P_c_union-{F}(V14,V12,V6,V4) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #679: mergings( V4 == V9, V9 == V14, V14 == V20, V20 == V26, V26 == V31, V31 == V37, V5 == V10, V6 == V11, V10 == V15, V11 == V16, V15 == V21, V16 == V22, V21 == V27, V22 == V28, V27 == V32, V28 == V33, V32 == V38, V33 == V39, V7 == V12, V12 == V17, V17 == V23, V23 == V29, V29 == V34, V34 == V40, V8 == V13, V42 == V43, V13 == V18, V19 == V43, V18 == V24, V25 == V43, V24 == V30, V43 == V44, V30 == V35, V36 == V44, V35 == V41, V44 == V45; #642 ), references = 1, size of lhs = 15:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_Message_Osynth-{F}(V3,V4), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V3,V5,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Omsg_OMPair-{F}(V0,V9,V2), P_c_Message_Omsg_OMPair-{F}(V0,V10,V2), P_c_Message_Oanalz-{F}(V11,V8), P_c_Message_Oanalz-{F}(V12,V8), P_c_union-{F}(V13,V4,V6,V14), P_c_union-{F}(V15,V14,V6,V8) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #728: mergings( V4 == V9, V9 == V14, V14 == V19, V19 == V24, V24 == V30, V30 == V36, V5 == V10, V6 == V11, V10 == V15, V11 == V16, V15 == V20, V16 == V21, V20 == V25, V21 == V26, V25 == V31, V26 == V32, V31 == V37, V32 == V38, V7 == V12, V12 == V17, V17 == V22, V22 == V27, V27 == V33, V33 == V39, V8 == V13, V41 == V42, V13 == V18, V42 == V43, V18 == V23, V43 == V44, V23 == V28, V29 == V44, V28 == V34, V35 == V44, V34 == V40, V44 == V45; #691 ), references = 1, size of lhs = 15:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_Message_Osynth-{F}(V3,V4), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V3,V5,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Omsg_OMPair-{F}(V0,V9,V2), P_c_Message_Omsg_OMPair-{F}(V0,V10,V2), P_c_Message_Oanalz-{F}(V11,V8), P_c_Message_Oanalz-{F}(V4,V12), P_c_Message_Oanalz-{F}(V13,V12), P_c_union-{F}(V12,V14,V6,V8) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #791: mergings( V4 == V9, V9 == V14, V14 == V20, V20 == V25, V25 == V30, V30 == V36, V36 == V41, V41 == V47, V5 == V10, V6 == V11, V10 == V15, V11 == V16, V15 == V21, V16 == V22, V21 == V26, V22 == V27, V26 == V31, V27 == V32, V31 == V37, V32 == V38, V37 == V42, V38 == V43, V42 == V48, V43 == V49, V7 == V12, V12 == V17, V17 == V23, V23 == V28, V28 == V33, V33 == V39, V39 == V44, V44 == V50, V8 == V13, V52 == V53, V13 == V18, V19 == V53, V18 == V24, V53 == V54, V24 == V29, V54 == V55, V29 == V34, V35 == V55, V34 == V40, V55 == V56, V40 == V45, V46 == V56, V45 == V51, V56 == V57; #742 ), references = 1, size of lhs = 18:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_Message_Osynth-{F}(V3,V4), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V3,V5,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Omsg_OMPair-{F}(V0,V9,V2), P_c_Message_Oanalz-{F}(V10,V8), P_c_Message_Oanalz-{F}(V11,V8), P_c_Message_Oanalz-{F}(V12,V13), P_c_union-{F}(V14,V13,V6,V8), P_c_Message_Oanalz-{F}(V15,V13), P_c_union-{F}(V16,V4,V6,V15), P_c_Message_Omsg_OMPair-{F}(V0,V17,V18), P_c_Message_Omsg_OMPair-{F}(V18,V19,V2) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #841: mergings( V4 == V9, V9 == V14, V14 == V19, V19 == V24, V24 == V29, V29 == V35, V5 == V10, V6 == V11, V10 == V15, V11 == V16, V15 == V20, V16 == V21, V20 == V25, V21 == V26, V25 == V30, V26 == V31, V30 == V37, V31 == V38, V7 == V12, V12 == V17, V17 == V22, V22 == V27, V27 == V32, V32 == V39, V8 == V13, V41 == V42, V13 == V18, V42 == V43, V18 == V23, V43 == V44, V23 == V28, V44 == V45, V28 == V33, V34 == V45, V33 == V40, V45 == V46; #804 ), references = 1, size of lhs = 18:
% 15.77/16.01 P_v_X-{F}(V0), P_c_Message_Omsg_OMPair-{F}(V0,V1,V0), P_v_Y-{F}(V2), P_c_Message_Omsg_OMPair-{F}(V0,V2,V3), P_v_G-{F}(V4), P_c_Message_Osynth-{F}(V4,V5), P_v_H-{F}(V6), P_tc_Message_Omsg-{F}(V7), P_c_union-{F}(V4,V6,V7,V8), P_c_Message_Oanalz-{F}(V8,V9), P_c_Message_Omsg_OMPair-{F}(V0,V10,V3), P_c_Message_Omsg_OMPair-{F}(V0,V11,V3), P_c_Message_Oanalz-{F}(V12,V9), P_c_Message_Oanalz-{F}(V5,V13), P_c_Message_Oanalz-{F}(V14,V13), P_c_Message_Oanalz-{F}(V15,V9), P_c_union-{F}(V5,V16,V7,V13), P_c_union-{F}(V17,V16,V7,V9) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #892: mergings( V4 == V9, V9 == V14, V14 == V19, V19 == V24, V24 == V29, V29 == V35, V5 == V10, V6 == V11, V10 == V15, V11 == V16, V15 == V20, V16 == V21, V20 == V25, V21 == V26, V25 == V30, V26 == V31, V30 == V37, V31 == V38, V7 == V12, V12 == V17, V17 == V22, V22 == V27, V27 == V32, V32 == V39, V8 == V13, V41 == V42, V13 == V18, V42 == V43, V18 == V23, V43 == V44, V23 == V28, V44 == V45, V28 == V33, V34 == V45, V33 == V40, V45 == V46; #855 ), references = 1, size of lhs = 18:
% 15.77/16.01 P_v_X-{F}(V0), P_c_Message_Omsg_OMPair-{F}(V0,V1,V0), P_v_Y-{F}(V2), P_c_Message_Omsg_OMPair-{F}(V0,V2,V3), P_v_G-{F}(V4), P_c_Message_Osynth-{F}(V4,V5), P_v_H-{F}(V6), P_tc_Message_Omsg-{F}(V7), P_c_union-{F}(V4,V6,V7,V8), P_c_Message_Oanalz-{F}(V8,V9), P_c_Message_Omsg_OMPair-{F}(V0,V10,V3), P_c_Message_Omsg_OMPair-{F}(V0,V11,V3), P_c_Message_Oanalz-{F}(V12,V9), P_c_Message_Oanalz-{F}(V5,V13), P_c_Message_Oanalz-{F}(V14,V13), P_c_Message_Oanalz-{F}(V15,V9), P_c_union-{F}(V16,V9,V7,V13), P_c_union-{F}(V17,V16,V7,V9) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #941: mergings( V4 == V9, V9 == V14, V14 == V19, V19 == V24, V24 == V30, V5 == V10, V6 == V11, V10 == V15, V11 == V16, V15 == V20, V16 == V21, V20 == V25, V21 == V26, V25 == V31, V26 == V32, V7 == V12, V12 == V17, V17 == V22, V22 == V27, V27 == V33, V8 == V13, V35 == V36, V13 == V18, V36 == V37, V18 == V23, V37 == V38, V23 == V28, V29 == V38, V28 == V34, V38 == V39; #910 ), references = 1, size of lhs = 17:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_Message_Osynth-{F}(V3,V4), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V3,V5,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Omsg_OMPair-{F}(V0,V9,V2), P_c_Message_Omsg_OMPair-{F}(V0,V10,V2), P_c_Message_Omsg_OMPair-{F}(V0,V11,V2), P_c_Message_Oanalz-{F}(V12,V8), P_c_Message_Oanalz-{F}(V13,V8), P_c_union-{F}(V14,V8,V6,V4), P_c_union-{F}(V15,V14,V6,V8), P_c_Message_Oanalz-{F}(V16,V8) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1004: mergings( V4 == V9, V9 == V14, V14 == V19, V19 == V24, V24 == V30, V30 == V35, V35 == V41, V5 == V10, V6 == V11, V10 == V15, V11 == V16, V15 == V20, V16 == V21, V20 == V25, V21 == V26, V25 == V31, V26 == V32, V31 == V36, V32 == V37, V36 == V43, V37 == V44, V7 == V12, V12 == V17, V17 == V22, V22 == V27, V27 == V33, V33 == V38, V38 == V45, V8 == V13, V47 == V48, V13 == V18, V48 == V49, V18 == V23, V49 == V50, V23 == V28, V29 == V50, V28 == V34, V50 == V51, V34 == V39, V40 == V51, V39 == V46, V51 == V52; #961 ), references = 1, size of lhs = 19:
% 15.77/16.01 P_v_X-{F}(V0), P_c_Message_Omsg_OMPair-{F}(V0,V1,V0), P_v_Y-{F}(V2), P_c_Message_Omsg_OMPair-{F}(V0,V2,V3), P_v_G-{F}(V4), P_c_Message_Osynth-{F}(V4,V5), P_v_H-{F}(V6), P_tc_Message_Omsg-{F}(V7), P_c_union-{F}(V4,V6,V7,V8), P_c_Message_Oanalz-{F}(V8,V9), P_c_Message_Omsg_OMPair-{F}(V0,V10,V3), P_c_Message_Omsg_OMPair-{F}(V0,V11,V3), P_c_Message_Oanalz-{F}(V12,V9), P_c_Message_Oanalz-{F}(V5,V13), P_c_Message_Oanalz-{F}(V14,V13), P_c_Message_Oanalz-{F}(V15,V9), P_c_union-{F}(V16,V13,V7,V17), P_c_union-{F}(V18,V5,V7,V17), P_c_union-{F}(V19,V18,V7,V9) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1063: mergings( V4 == V9, V9 == V14, V14 == V19, V19 == V24, V24 == V30, V30 == V36, V36 == V42, V5 == V10, V6 == V11, V10 == V15, V11 == V16, V15 == V20, V16 == V21, V20 == V25, V21 == V26, V25 == V31, V26 == V32, V31 == V37, V32 == V38, V37 == V43, V38 == V44, V7 == V12, V12 == V17, V17 == V22, V22 == V27, V27 == V33, V33 == V39, V39 == V45, V8 == V13, V47 == V48, V13 == V18, V48 == V49, V18 == V23, V49 == V50, V23 == V28, V29 == V50, V28 == V34, V35 == V50, V34 == V40, V41 == V50, V40 == V46, V50 == V51; #1020 ), references = 1, size of lhs = 16:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_Message_Osynth-{F}(V3,V4), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V3,V5,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Omsg_OMPair-{F}(V0,V9,V2), P_c_Message_Omsg_OMPair-{F}(V0,V10,V2), P_c_Message_Oanalz-{F}(V11,V8), P_c_Message_Oanalz-{F}(V4,V12), P_c_Message_Oanalz-{F}(V13,V12), P_c_union-{F}(V14,V12,V6,V15), P_c_union-{F}(V16,V15,V6,V8) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1116: mergings( V4 == V9, V9 == V14, V14 == V20, V20 == V25, V25 == V30, V30 == V36, V5 == V10, V6 == V11, V10 == V15, V11 == V16, V15 == V21, V16 == V22, V21 == V26, V22 == V27, V26 == V31, V27 == V32, V31 == V37, V32 == V38, V7 == V12, V12 == V17, V17 == V23, V23 == V28, V28 == V33, V33 == V39, V8 == V13, V41 == V42, V13 == V18, V19 == V42, V18 == V24, V42 == V43, V24 == V29, V43 == V44, V29 == V34, V35 == V44, V34 == V40, V44 == V45; #1079 ), references = 1, size of lhs = 15:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_Message_Osynth-{F}(V3,V4), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V3,V5,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Omsg_OMPair-{F}(V0,V9,V2), P_c_Message_Omsg_OMPair-{F}(V0,V10,V2), P_c_Message_Oanalz-{F}(V11,V8), P_c_Message_Oanalz-{F}(V12,V8), P_c_Message_Oanalz-{F}(V13,V8), P_c_union-{F}(V14,V4,V6,V13) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1167: mergings( V4 == V9, V9 == V14, V14 == V20, V20 == V26, V26 == V31, V31 == V37, V5 == V10, V6 == V11, V10 == V15, V11 == V16, V15 == V21, V16 == V22, V21 == V27, V22 == V28, V27 == V32, V28 == V33, V32 == V38, V33 == V39, V7 == V12, V12 == V17, V17 == V23, V23 == V29, V29 == V34, V34 == V40, V8 == V13, V42 == V43, V13 == V18, V19 == V43, V18 == V24, V25 == V43, V24 == V30, V43 == V44, V30 == V35, V36 == V44, V35 == V41, V44 == V45; #1130 ), references = 1, size of lhs = 15:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_Message_Osynth-{F}(V3,V4), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V3,V5,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Omsg_OMPair-{F}(V0,V9,V2), P_c_Message_Omsg_OMPair-{F}(V0,V10,V2), P_c_Message_Oanalz-{F}(V11,V8), P_c_Message_Oanalz-{F}(V12,V8), P_c_union-{F}(V4,V13,V6,V14), P_c_union-{F}(V15,V14,V6,V8) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1228: mergings( V4 == V9, V9 == V14, V14 == V19, V19 == V24, V24 == V30, V30 == V36, V36 == V42, V5 == V10, V6 == V11, V10 == V15, V11 == V16, V15 == V20, V16 == V21, V20 == V25, V21 == V26, V25 == V31, V26 == V32, V31 == V37, V32 == V38, V37 == V43, V38 == V44, V7 == V12, V12 == V17, V17 == V22, V22 == V27, V27 == V33, V33 == V39, V39 == V45, V8 == V13, V47 == V48, V13 == V18, V48 == V49, V18 == V23, V49 == V50, V23 == V28, V29 == V50, V28 == V34, V35 == V50, V34 == V40, V41 == V50, V40 == V46, V50 == V51; #1185 ), references = 1, size of lhs = 16:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_Message_Osynth-{F}(V3,V4), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V3,V5,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Omsg_OMPair-{F}(V0,V9,V2), P_c_Message_Omsg_OMPair-{F}(V0,V10,V2), P_c_Message_Oanalz-{F}(V11,V8), P_c_Message_Oanalz-{F}(V4,V12), P_c_Message_Oanalz-{F}(V13,V12), P_c_union-{F}(V12,V14,V6,V15), P_c_union-{F}(V16,V15,V6,V4) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1276: mergings( V4 == V9, V9 == V14, V14 == V20, V20 == V25, V25 == V31, V5 == V10, V6 == V11, V10 == V15, V11 == V16, V15 == V21, V16 == V22, V21 == V26, V22 == V27, V26 == V32, V27 == V33, V7 == V12, V12 == V17, V17 == V23, V23 == V28, V28 == V34, V8 == V13, V36 == V37, V13 == V18, V19 == V37, V18 == V24, V37 == V38, V24 == V29, V30 == V38, V29 == V35, V38 == V39; #1245 ), references = 1, size of lhs = 14:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_Message_Osynth-{F}(V3,V4), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V3,V5,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Omsg_OMPair-{F}(V0,V9,V2), P_c_Message_Omsg_OMPair-{F}(V0,V10,V2), P_c_Message_Oanalz-{F}(V11,V8), P_c_Message_Oanalz-{F}(V12,V8), P_c_union-{F}(V4,V13,V6,V8) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1325: mergings( V4 == V9, V9 == V14, V14 == V19, V19 == V24, V24 == V29, V29 == V35, V5 == V10, V6 == V11, V10 == V15, V11 == V16, V15 == V20, V16 == V21, V20 == V25, V21 == V26, V25 == V30, V26 == V31, V30 == V37, V31 == V38, V7 == V12, V12 == V17, V17 == V22, V22 == V27, V27 == V32, V32 == V39, V8 == V13, V41 == V42, V13 == V18, V42 == V43, V18 == V23, V43 == V44, V23 == V28, V44 == V45, V28 == V33, V34 == V45, V33 == V40, V45 == V46; #1288 ), references = 1, size of lhs = 18:
% 15.77/16.01 P_v_X-{F}(V0), P_c_Message_Omsg_OMPair-{F}(V0,V1,V0), P_v_Y-{F}(V2), P_c_Message_Omsg_OMPair-{F}(V0,V2,V3), P_v_G-{F}(V4), P_c_Message_Osynth-{F}(V4,V5), P_v_H-{F}(V6), P_tc_Message_Omsg-{F}(V7), P_c_union-{F}(V4,V6,V7,V8), P_c_Message_Oanalz-{F}(V8,V9), P_c_Message_Omsg_OMPair-{F}(V0,V10,V3), P_c_Message_Omsg_OMPair-{F}(V0,V11,V3), P_c_Message_Oanalz-{F}(V12,V9), P_c_Message_Oanalz-{F}(V5,V13), P_c_Message_Oanalz-{F}(V14,V13), P_c_Message_Oanalz-{F}(V15,V9), P_c_union-{F}(V9,V16,V7,V13), P_c_union-{F}(V17,V16,V7,V9) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1381: mergings( V4 == V9, V9 == V14, V14 == V19, V19 == V25, V25 == V30, V30 == V36, V36 == V42, V5 == V10, V6 == V11, V10 == V15, V11 == V16, V15 == V20, V16 == V21, V20 == V26, V21 == V27, V26 == V31, V27 == V32, V31 == V37, V32 == V38, V37 == V43, V38 == V44, V7 == V12, V12 == V17, V17 == V22, V22 == V28, V28 == V33, V33 == V39, V39 == V45, V8 == V13, V47 == V48, V13 == V18, V48 == V49, V18 == V23, V24 == V49, V23 == V29, V49 == V50, V29 == V34, V35 == V50, V34 == V40, V41 == V50, V40 == V46, V50 == V51; #1338 ), references = 1, size of lhs = 18:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_Message_Osynth-{F}(V3,V4), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V3,V5,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Omsg_OMPair-{F}(V0,V9,V2), P_c_Message_Omsg_OMPair-{F}(V0,V10,V2), P_c_Message_Omsg_OMPair-{F}(V0,V11,V2), P_c_Message_Oanalz-{F}(V12,V8), P_c_Message_Oanalz-{F}(V13,V8), P_c_union-{F}(V8,V14,V6,V4), P_c_Message_Oanalz-{F}(V15,V16), P_c_union-{F}(V17,V14,V6,V16), P_c_union-{F}(V16,V18,V6,V4) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1429: mergings( V4 == V9, V9 == V14, V14 == V20, V20 == V25, V25 == V30, V30 == V36, V5 == V10, V6 == V11, V10 == V15, V11 == V16, V15 == V21, V16 == V22, V21 == V26, V22 == V27, V26 == V31, V27 == V32, V31 == V37, V32 == V38, V7 == V12, V12 == V17, V17 == V23, V23 == V28, V28 == V33, V33 == V39, V8 == V13, V41 == V42, V13 == V18, V19 == V42, V18 == V24, V42 == V43, V24 == V29, V43 == V44, V29 == V34, V35 == V44, V34 == V40, V44 == V45; #1392 ), references = 1, size of lhs = 18:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_Message_Osynth-{F}(V3,V4), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V3,V5,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Omsg_OMPair-{F}(V0,V9,V2), P_c_Message_Omsg_OMPair-{F}(V0,V10,V2), P_c_Message_Omsg_OMPair-{F}(V0,V11,V2), P_c_Message_Oanalz-{F}(V12,V8), P_c_Message_Oanalz-{F}(V13,V8), P_c_Message_Oanalz-{F}(V14,V8), P_c_union-{F}(V15,V16,V6,V8), P_c_union-{F}(V8,V16,V6,V17), P_c_union-{F}(V18,V4,V6,V17) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1440: mergings( V0 == V12, V1 == V15, V2 == V16, V3 == V17, V4 == V18, V6 == V19, V7 == V20, V8 == V21, V9 == V11; #1430 ), references = 1, size of lhs = 13:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V3,V4,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Osynth-{F}(V3,V8), P_c_union-{F}(V7,V8,V5,V9), P_c_Message_Osynth-{F}(V10,V9), c_in-{F}(V11,V9,V5), P_c_Message_Omsg_OMPair-{F}(V0,V12,V11) | c_in-{T}(V11,V10,V5)
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1467: mergings( V0 == V15, V15 == V12, V1 == V16, V2 == V17, V16 == V25, V17 == V26, V3 == V18, V18 == V27, V4 == V19, V19 == V28, V6 == V29, V7 == V30, V20 == V5, V21 == V29, V22 == V30, V8 == V23, V24 == V9, V23 == V31, V9 == V32; #1447 ), references = 4, size of lhs = 14:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V3,V4,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Osynth-{F}(V3,V8), P_c_union-{F}(V7,V8,V5,V9), P_c_Message_Osynth-{F}(V10,V11), P_c_union-{F}(V12,V11,V5,V9), c_in-{F}(V13,V11,V5), P_c_Message_Omsg_OMPair-{F}(V0,V14,V13) | c_in-{T}(V13,V10,V5)
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1523: mergings( V4 == V9, V9 == V14, V14 == V19, V19 == V25, V25 == V30, V30 == V36, V36 == V41, V41 == V47, V5 == V10, V6 == V11, V10 == V15, V11 == V16, V15 == V20, V16 == V21, V20 == V26, V21 == V27, V26 == V31, V27 == V32, V31 == V37, V32 == V38, V37 == V42, V38 == V43, V42 == V48, V43 == V49, V7 == V12, V12 == V17, V17 == V22, V22 == V28, V28 == V33, V33 == V39, V39 == V44, V44 == V50, V8 == V13, V52 == V53, V13 == V18, V53 == V54, V18 == V23, V24 == V54, V23 == V29, V54 == V55, V29 == V34, V35 == V55, V34 == V40, V55 == V56, V40 == V45, V46 == V56, V45 == V51, V56 == V57; #1474 ), references = 1, size of lhs = 16:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_Message_Osynth-{F}(V3,V4), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V3,V5,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Omsg_OMPair-{F}(V0,V9,V2), P_c_Message_Omsg_OMPair-{F}(V0,V10,V2), P_c_Message_Omsg_OMPair-{F}(V0,V11,V2), P_c_Message_Oanalz-{F}(V12,V8), P_c_Message_Osynth-{F}(V13,V4), P_c_Message_Oanalz-{F}(V14,V8), P_c_union-{F}(V15,V13,V6,V8) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1566: mergings( V4 == V9, V9 == V14, V14 == V19, V19 == V24, V24 == V30, V5 == V10, V6 == V11, V10 == V15, V11 == V16, V15 == V20, V16 == V21, V20 == V25, V21 == V26, V25 == V31, V26 == V32, V7 == V12, V12 == V17, V17 == V22, V22 == V27, V27 == V33, V8 == V13, V35 == V36, V13 == V18, V36 == V37, V18 == V23, V37 == V38, V23 == V28, V29 == V38, V28 == V34, V38 == V39; #1535 ), references = 1, size of lhs = 15:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_Message_Osynth-{F}(V3,V4), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V3,V5,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Osynth-{F}(V8,V4), P_c_Message_Omsg_OMPair-{F}(V0,V9,V2), P_c_Message_Omsg_OMPair-{F}(V0,V10,V2), P_c_Message_Omsg_OMPair-{F}(V0,V11,V2), P_c_Message_Oanalz-{F}(V12,V8), P_c_Message_Oanalz-{F}(V13,V8) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1623: mergings( V4 == V9, V9 == V14, V14 == V19, V19 == V25, V25 == V30, V30 == V35, V35 == V41, V5 == V10, V6 == V11, V10 == V15, V11 == V16, V15 == V20, V16 == V21, V20 == V26, V21 == V27, V26 == V31, V27 == V32, V31 == V36, V32 == V37, V36 == V42, V37 == V43, V7 == V12, V12 == V17, V17 == V22, V22 == V28, V28 == V33, V33 == V38, V38 == V44, V8 == V13, V46 == V47, V13 == V18, V47 == V48, V18 == V23, V24 == V48, V23 == V29, V48 == V49, V29 == V34, V49 == V50, V34 == V39, V40 == V50, V39 == V45, V50 == V51; #1580 ), references = 1, size of lhs = 17:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_Message_Osynth-{F}(V3,V4), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V3,V5,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Omsg_OMPair-{F}(V0,V9,V2), P_c_Message_Omsg_OMPair-{F}(V0,V10,V2), P_c_Message_Omsg_OMPair-{F}(V0,V11,V2), P_c_Message_Oanalz-{F}(V12,V8), P_c_Message_Osynth-{F}(V13,V4), P_c_Message_Oanalz-{F}(V14,V8), P_c_Message_Oanalz-{F}(V15,V8), P_c_union-{F}(V16,V13,V6,V15) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1660: mergings( V2 == V8, V8 == V13, V13 == V18, V18 == V23, V23 == V28, V28 == V33, V33 == V38, V3 == V9, V4 == V10, V9 == V14, V10 == V15, V14 == V19, V15 == V20, V19 == V24, V20 == V25, V24 == V29, V25 == V30, V29 == V34, V30 == V35, V34 == V39, V35 == V40, V5 == V11, V11 == V16, V16 == V21, V21 == V26, V26 == V31, V31 == V36, V36 == V41, V6 == V12, V12 == V17, V17 == V22, V22 == V27, V27 == V32, V32 == V37, V37 == V42; #1624 ), references = 1, size of lhs = 13:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_Message_Osynth-{F}(V3,V4), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V3,V5,V6,V7), P_c_Message_Omsg_OMPair-{F}(V0,V8,V2), P_c_Message_Omsg_OMPair-{F}(V0,V9,V2), P_c_Message_Omsg_OMPair-{F}(V0,V10,V2), P_c_Message_Osynth-{F}(V11,V4), P_c_union-{F}(V12,V11,V6,V7) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1683: mergings( V4 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V23, V23 == V26, V5 == V9, V6 == V10, V9 == V12, V10 == V13, V12 == V15, V13 == V16, V15 == V18, V16 == V19, V18 == V21, V19 == V22, V21 == V24, V22 == V25, V24 == V27, V25 == V28; #1661 ), references = 1, size of lhs = 11:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_Message_Osynth-{F}(V3,V4), P_v_H-{F}(V5), P_c_Message_Osynth-{F}(V5,V4), P_tc_Message_Omsg-{F}(V6), P_c_Message_Omsg_OMPair-{F}(V0,V7,V2), P_c_Message_Omsg_OMPair-{F}(V0,V8,V2), P_c_Message_Omsg_OMPair-{F}(V0,V9,V2) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1685: exists( #8, #1661 ), references = 1, size of lhs = 7:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_v_G-{F}(V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_c_Message_Osynth-{F}(V4,V3), P_tc_Message_Omsg-{F}(V5) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1687: exists( #16, #1684 ), references = 1, size of lhs = 5:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_v_G-{F}(V2), P_v_H-{F}(V2), P_tc_Message_Omsg-{F}(V3) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1689: exists( #15, #1686 ), references = 1, size of lhs = 4:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_v_G-{F}(V2), P_v_H-{F}(V2) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1733: mergings( V4 == V9, V9 == V14, V14 == V20, V20 == V25, V25 == V30, V30 == V36, V5 == V10, V6 == V11, V10 == V15, V11 == V16, V15 == V21, V16 == V22, V21 == V26, V22 == V27, V26 == V31, V27 == V32, V31 == V37, V32 == V38, V7 == V12, V12 == V17, V17 == V23, V23 == V28, V28 == V33, V33 == V39, V8 == V13, V41 == V42, V13 == V18, V19 == V42, V18 == V24, V42 == V43, V24 == V29, V43 == V44, V29 == V34, V35 == V44, V34 == V40, V44 == V45; #1696 ), references = 1, size of lhs = 15:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_Message_Osynth-{F}(V3,V4), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V3,V5,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Omsg_OMPair-{F}(V0,V9,V2), P_c_Message_Omsg_OMPair-{F}(V0,V10,V2), P_c_Message_Oanalz-{F}(V11,V8), P_c_Message_Oanalz-{F}(V12,V8), P_c_Message_Oanalz-{F}(V13,V8), P_c_union-{F}(V4,V14,V6,V13) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1765: mergings( V2 == V8, V8 == V13, V13 == V18, V18 == V23, V23 == V28, V28 == V33, V3 == V9, V4 == V10, V9 == V14, V10 == V15, V14 == V19, V15 == V20, V19 == V24, V20 == V25, V24 == V29, V25 == V30, V29 == V34, V30 == V35, V5 == V11, V11 == V16, V16 == V21, V21 == V26, V26 == V31, V31 == V36, V6 == V12, V12 == V17, V17 == V22, V22 == V27, V27 == V32, V32 == V37; #1734 ), references = 1, size of lhs = 11:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_Message_Osynth-{F}(V3,V4), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V3,V5,V6,V7), P_c_Message_Omsg_OMPair-{F}(V0,V8,V2), P_c_Message_Omsg_OMPair-{F}(V0,V9,V2), P_c_union-{F}(V4,V10,V6,V7) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1785: mergings( V4 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V22, V5 == V8, V6 == V9, V8 == V11, V9 == V12, V11 == V14, V12 == V15, V14 == V17, V15 == V18, V17 == V20, V18 == V21, V20 == V23, V21 == V24; #1766 ), references = 1, size of lhs = 9:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_Message_Osynth-{F}(V3,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_Message_Omsg_OMPair-{F}(V0,V6,V2), P_c_Message_Omsg_OMPair-{F}(V0,V7,V2) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1787: exists( #8, #1766 ), references = 1, size of lhs = 6:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_v_G-{F}(V2), P_c_Message_Osynth-{F}(V2,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1840: mergings( V4 == V9, V9 == V14, V14 == V19, V19 == V25, V25 == V30, V30 == V35, V35 == V41, V5 == V10, V6 == V11, V10 == V15, V11 == V16, V15 == V20, V16 == V21, V20 == V26, V21 == V27, V26 == V31, V27 == V32, V31 == V36, V32 == V37, V36 == V42, V37 == V43, V7 == V12, V12 == V17, V17 == V22, V22 == V28, V28 == V33, V33 == V38, V38 == V44, V8 == V13, V46 == V47, V13 == V18, V47 == V48, V18 == V23, V24 == V48, V23 == V29, V48 == V49, V29 == V34, V49 == V50, V34 == V39, V40 == V50, V39 == V45, V50 == V51; #1797 ), references = 1, size of lhs = 17:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_Message_Osynth-{F}(V3,V4), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V3,V5,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Omsg_OMPair-{F}(V0,V9,V2), P_c_Message_Omsg_OMPair-{F}(V0,V10,V2), P_c_Message_Omsg_OMPair-{F}(V0,V11,V2), P_c_Message_Oanalz-{F}(V12,V8), P_c_Message_Osynth-{F}(V13,V4), P_c_Message_Oanalz-{F}(V14,V8), P_c_Message_Oanalz-{F}(V15,V8), P_c_union-{F}(V13,V16,V6,V15) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1877: mergings( V2 == V8, V8 == V13, V13 == V18, V18 == V23, V23 == V28, V28 == V33, V33 == V38, V3 == V9, V4 == V10, V9 == V14, V10 == V15, V14 == V19, V15 == V20, V19 == V24, V20 == V25, V24 == V29, V25 == V30, V29 == V34, V30 == V35, V34 == V39, V35 == V40, V5 == V11, V11 == V16, V16 == V21, V21 == V26, V26 == V31, V31 == V36, V36 == V41, V6 == V12, V12 == V17, V17 == V22, V22 == V27, V27 == V32, V32 == V37, V37 == V42; #1841 ), references = 1, size of lhs = 13:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_c_Message_Osynth-{F}(V3,V4), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V3,V5,V6,V7), P_c_Message_Omsg_OMPair-{F}(V0,V8,V2), P_c_Message_Omsg_OMPair-{F}(V0,V9,V2), P_c_Message_Omsg_OMPair-{F}(V0,V10,V2), P_c_Message_Osynth-{F}(V11,V4), P_c_union-{F}(V11,V12,V6,V7) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1900: mergings( V4 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V23, V23 == V26, V5 == V9, V6 == V10, V9 == V12, V10 == V13, V12 == V15, V13 == V16, V15 == V18, V16 == V19, V18 == V21, V19 == V22, V21 == V24, V22 == V25, V24 == V27, V25 == V28; #1878 ), references = 1, size of lhs = 10:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_c_Message_Omsg_OMPair-{F}(V0,V1,V2), P_v_G-{F}(V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_Message_Omsg_OMPair-{F}(V0,V6,V2), P_c_Message_Omsg_OMPair-{F}(V0,V7,V2), P_c_Message_Omsg_OMPair-{F}(V0,V8,V2), P_c_Message_Osynth-{F}(V3,V9) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1902: exists( #8, #1878 ), references = 1, size of lhs = 6:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_v_G-{F}(V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4), P_c_Message_Osynth-{F}(V2,V5) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1904: exists( #16, #1901 ), references = 1, size of lhs = 5:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_v_G-{F}(V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1906: exists( #15, #1903 ), references = 1, size of lhs = 4:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_v_G-{F}(V2), P_v_H-{F}(V3) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1908: exists( #14, #1905 ), references = 1, size of lhs = 3:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1), P_v_G-{F}(V2) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1910: exists( #13, #1907 ), references = 1, size of lhs = 2:
% 15.77/16.01 P_v_X-{F}(V0), P_v_Y-{F}(V1) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1912: exists( #10, #1909 ), references = 1, size of lhs = 1:
% 15.77/16.01 P_v_X-{F}(V0) | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 #1914: exists( #9, #1911 ), references = 1, size of lhs = 0:
% 15.77/16.01 FALSE | FALSE
% 15.77/16.01 (used 0 times, uses = {})
% 15.77/16.01
% 15.77/16.01 number of learnt formulas = 55
% 15.77/16.01
% 15.77/16.01
% 15.77/16.01 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.77/16.01
% 15.77/16.01 randbase = 1
%------------------------------------------------------------------------------