TSTP Solution File: SWV250-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SWV250-2 : 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 06:21:15 EDT 2022
% Result : Unsatisfiable 2.93s 3.13s
% Output : Refutation 2.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWV250-2 : 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 14:33:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.93/3.13 GeoParameters:
% 2.93/3.13
% 2.93/3.13 tptp_input = 1
% 2.93/3.13 tptp_output = 0
% 2.93/3.13 nonempty = 1
% 2.93/3.13 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.93/3.13 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 2.93/3.13
% 2.93/3.13
% 2.93/3.13 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.93/3.13 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.93/3.13
% 2.93/3.13 RuleSystem INPUT:
% 2.93/3.13
% 2.93/3.13 Initial Rules:
% 2.93/3.13 #0: input, references = 7, size of lhs = 8:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,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) | c_in-{T}(V0,V7,V5)
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #1: input, references = 5, size of lhs = 12:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,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_union-{F}(V1,V4,V5,V8), P_c_Message_Oanalz-{F}(V8,V9), P_c_union-{F}(V3,V9,V5,V10), c_in-{F}(V0,V10,V5) | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #2: input, references = 4, size of lhs = 17:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,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_union-{F}(V1,V4,V5,V8), P_c_Message_Oanalz-{F}(V8,V9), P_c_union-{F}(V3,V9,V5,V10), P_c_Message_Oanalz-{F}(V11,V13), P_c_union-{F}(V13,V12,V5,V14), P_c_Message_Oanalz-{F}(V14,V15), P_c_union-{F}(V11,V12,V5,V16), P_c_Message_Oanalz-{F}(V16,V17), V15 == V17 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #3: input, references = 4, size of lhs = 18:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,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_union-{F}(V1,V4,V5,V8), P_c_Message_Oanalz-{F}(V8,V9), P_c_union-{F}(V3,V9,V5,V10), P_c_Message_Osynth-{F}(V11,V13), P_c_union-{F}(V13,V12,V5,V14), P_c_Message_Oanalz-{F}(V14,V15), P_c_union-{F}(V11,V12,V5,V16), P_c_Message_Oanalz-{F}(V16,V17), P_c_union-{F}(V17,V13,V5,V18), V15 == V18 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #4: input, references = 4, size of lhs = 13:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,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_union-{F}(V1,V4,V5,V8), P_c_Message_Oanalz-{F}(V8,V9), P_c_union-{F}(V3,V9,V5,V10), P_c_union-{F}(V14,V12,V13,V15), c_in-{F}(V11,V15,V13) | c_in-{T}(V11,V12,V13), c_in-{T}(V11,V14,V13)
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #5: input, references = 5, size of lhs = 13:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,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_union-{F}(V1,V4,V5,V8), P_c_Message_Oanalz-{F}(V8,V9), P_c_union-{F}(V3,V9,V5,V10), c_in-{F}(V11,V12,V13), P_c_union-{F}(V12,V14,V13,V15) | c_in-{T}(V11,V15,V13)
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #6: input, references = 4, size of lhs = 13:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,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_union-{F}(V1,V4,V5,V8), P_c_Message_Oanalz-{F}(V8,V9), P_c_union-{F}(V3,V9,V5,V10), c_in-{F}(V11,V12,V13), P_c_union-{F}(V14,V12,V13,V15) | c_in-{T}(V11,V15,V13)
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #7: input, references = 4, size of lhs = 0:
% 2.93/3.13 FALSE | EXISTS V0: P_v_x-{T}(V0)
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #8: input, references = 16, size of lhs = 1:
% 2.93/3.13 #-{F} V0 | EXISTS V1: P_c_Message_Oanalz-{T}(V0,V1)
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #9: input, references = 28, size of lhs = 3:
% 2.93/3.13 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_union-{T}(V0,V1,V2,V3)
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #10: input, references = 4, size of lhs = 1:
% 2.93/3.13 #-{F} V0 | EXISTS V1: P_c_Message_Osynth-{T}(V0,V1)
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #11: input, references = 4, size of lhs = 0:
% 2.93/3.13 FALSE | EXISTS V0: P_v_G-{T}(V0)
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #12: input, references = 4, size of lhs = 0:
% 2.93/3.13 FALSE | EXISTS V0: P_v_H-{T}(V0)
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #13: input, references = 4, size of lhs = 0:
% 2.93/3.13 FALSE | EXISTS V0: P_tc_Message_Omsg-{T}(V0)
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 number of initial rules = 14
% 2.93/3.13
% 2.93/3.13 Simplifiers:
% 2.93/3.13 #14: unsound, references = 3, size of lhs = 3:
% 2.93/3.13 c_in-{F}(V0,V1,V2), c_in-{F}(V3,V4,V5), V0 == V3 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #15: unsound, references = 3, size of lhs = 3:
% 2.93/3.13 c_in-{F}(V0,V1,V2), c_in-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #16: unsound, references = 3, size of lhs = 3:
% 2.93/3.13 P_v_x-{F}(V0), P_v_x-{F}(V1), V0 == V1 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #17: unsound, references = 3, size of lhs = 3:
% 2.93/3.13 P_c_Message_Oanalz-{F}(V0,V1), P_c_Message_Oanalz-{F}(V0,V3), V1 == V3 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #18: unsound, references = 3, size of lhs = 3:
% 2.93/3.13 P_c_union-{F}(V0,V1,V2,V3), P_c_union-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #19: unsound, references = 3, size of lhs = 3:
% 2.93/3.13 P_c_Message_Osynth-{F}(V0,V1), P_c_Message_Osynth-{F}(V0,V3), V1 == V3 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #20: unsound, references = 3, size of lhs = 3:
% 2.93/3.13 P_v_G-{F}(V0), P_v_G-{F}(V1), V0 == V1 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #21: unsound, references = 3, size of lhs = 3:
% 2.93/3.13 P_v_H-{F}(V0), P_v_H-{F}(V1), V0 == V1 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #22: unsound, references = 3, size of lhs = 3:
% 2.93/3.13 P_tc_Message_Omsg-{F}(V0), P_tc_Message_Omsg-{F}(V1), V0 == V1 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 number of simplifiers = 9
% 2.93/3.13
% 2.93/3.13 Learnt:
% 2.93/3.13 #25: exists( #9, #2 ), references = 5, size of lhs = 16:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,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_union-{F}(V1,V4,V5,V8), P_c_Message_Oanalz-{F}(V8,V9), P_c_Message_Oanalz-{F}(V10,V11), P_c_union-{F}(V11,V12,V5,V13), P_c_Message_Oanalz-{F}(V13,V14), P_c_union-{F}(V10,V12,V5,V15), P_c_Message_Oanalz-{F}(V15,V16), V14 == V16 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #26: exists( #9, #3 ), references = 1, size of lhs = 17:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,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_union-{F}(V1,V4,V5,V8), P_c_Message_Oanalz-{F}(V8,V9), P_c_Message_Osynth-{F}(V10,V11), P_c_union-{F}(V11,V12,V5,V13), P_c_Message_Oanalz-{F}(V13,V14), P_c_union-{F}(V10,V12,V5,V15), P_c_Message_Oanalz-{F}(V15,V16), P_c_union-{F}(V16,V11,V5,V17), V14 == V17 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #29: exists( #8, #24 ), references = 1, size of lhs = 16:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,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_union-{F}(V1,V4,V5,V8), P_c_Message_Osynth-{F}(V9,V10), P_c_union-{F}(V10,V11,V5,V12), P_c_Message_Oanalz-{F}(V12,V13), P_c_union-{F}(V9,V11,V5,V14), P_c_Message_Oanalz-{F}(V14,V15), P_c_union-{F}(V15,V10,V5,V16), V13 == V16 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #31: exists( #9, #28 ), references = 3, size of lhs = 15:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,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}(V8,V9), P_c_union-{F}(V9,V10,V5,V11), P_c_Message_Oanalz-{F}(V11,V12), P_c_union-{F}(V8,V10,V5,V13), P_c_Message_Oanalz-{F}(V13,V14), P_c_union-{F}(V14,V9,V5,V15), V12 == V15 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #33: exists( #8, #31 ), references = 2, size of lhs = 14:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V3,V4,V5,V6), P_c_Message_Osynth-{F}(V7,V8), P_c_union-{F}(V8,V9,V5,V10), P_c_Message_Oanalz-{F}(V10,V11), P_c_union-{F}(V7,V9,V5,V12), P_c_Message_Oanalz-{F}(V12,V13), P_c_union-{F}(V13,V8,V5,V14), V11 == V14 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #35: exists( #9, #32 ), references = 5, size of lhs = 13:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_Message_Osynth-{F}(V6,V7), P_c_union-{F}(V7,V8,V5,V9), P_c_Message_Oanalz-{F}(V9,V10), P_c_union-{F}(V6,V8,V5,V11), P_c_Message_Oanalz-{F}(V11,V12), P_c_union-{F}(V12,V7,V5,V13), V10 == V13 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #45: mergings( V4 == V11, V5 == V12, V6 == V13, V7 == V14, V8 == V15, V9 == V16, V10 == V17; #37 ), references = 5, size of lhs = 11:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,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_union-{F}(V1,V4,V5,V8), P_c_Message_Oanalz-{F}(V8,V9), c_in-{F}(V0,V9,V5) | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #47: exists( #8, #25 ), references = 1, size of lhs = 13:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,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_union-{F}(V1,V4,V5,V8), P_c_Message_Oanalz-{F}(V9,V10), P_c_union-{F}(V9,V11,V5,V8), P_c_union-{F}(V10,V11,V5,V12), P_c_Message_Oanalz-{F}(V12,V13) | P_c_Message_Oanalz-{T}(V8,V13)
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #56: mergings( V4 == V9, V5 == V10, V10 == V16, V6 == V11, V7 == V12, V8 == V13; #49 ), references = 2, size of lhs = 11:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_v_H-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_c_Message_Oanalz-{F}(V1,V4), P_c_Message_Osynth-{F}(V4,V5), P_c_union-{F}(V5,V2,V3,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_union-{F}(V4,V2,V3,V8), P_c_Message_Oanalz-{F}(V8,V9), c_in-{F}(V0,V9,V3) | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #67: mergings( V6 == V7, V9 == V11, V11 == V15, V10 == V12, V2 == V8, V3 == V15, V4 == V12, V5 == V13; #58 ), references = 1, size of lhs = 8:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_v_H-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_c_Message_Oanalz-{F}(V1,V4), P_c_Message_Osynth-{F}(V4,V5), P_c_union-{F}(V5,V2,V3,V6), P_c_union-{F}(V4,V2,V3,V6) | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #74: mergings( V6 == V7, V0 == V9, V9 == V10, V4 == V8, V5 == V10; #68 ), references = 1, size of lhs = 6:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V2), P_v_H-{F}(V3), P_tc_Message_Omsg-{F}(V4) | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #78: exists( #9, #35 ), references = 5, size of lhs = 11:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_Message_Osynth-{F}(V6,V7), P_c_union-{F}(V7,V8,V5,V9), P_c_Message_Oanalz-{F}(V9,V10), P_c_union-{F}(V6,V8,V5,V11), P_c_Message_Oanalz-{F}(V11,V12) | P_c_union-{T}(V12,V7,V5,V10)
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #79: exists( #9, #33 ), references = 1, size of lhs = 12:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V3,V4,V5,V6), P_c_Message_Osynth-{F}(V7,V8), P_c_union-{F}(V8,V9,V5,V10), P_c_Message_Oanalz-{F}(V10,V11), P_c_union-{F}(V7,V9,V5,V12), P_c_Message_Oanalz-{F}(V12,V13) | P_c_union-{T}(V13,V8,V5,V11)
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #80: exists( #9, #31 ), references = 1, size of lhs = 13:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,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}(V8,V9), P_c_union-{F}(V9,V10,V5,V11), P_c_Message_Oanalz-{F}(V11,V12), P_c_union-{F}(V8,V10,V5,V13), P_c_Message_Oanalz-{F}(V13,V14) | P_c_union-{T}(V14,V9,V5,V12)
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #82: exists( #8, #25 ), references = 3, size of lhs = 15:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,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_union-{F}(V1,V4,V5,V8), P_c_Message_Oanalz-{F}(V9,V10), P_c_union-{F}(V10,V11,V5,V12), P_c_Message_Oanalz-{F}(V12,V13), P_c_union-{F}(V9,V11,V5,V14), P_c_Message_Oanalz-{F}(V14,V15), V13 == V15 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #84: exists( #9, #81 ), references = 3, size of lhs = 14:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,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_Oanalz-{F}(V8,V9), P_c_union-{F}(V9,V10,V5,V11), P_c_Message_Oanalz-{F}(V11,V12), P_c_union-{F}(V8,V10,V5,V13), P_c_Message_Oanalz-{F}(V13,V14), V12 == V14 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #110: mergings( V0 == V16, V16 == V15, V1 == V17, V2 == V18, V3 == V19, V17 == V27, V18 == V28, V19 == V29, V4 == V20, V20 == V30, V5 == V21, V6 == V22, V7 == V23, V8 == V24, V9 == V25, V10 == V26, V21 == V13, V22 == V31, V23 == V32, V24 == V33, V25 == V34; #87 ), references = 1, size of lhs = 14:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,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_union-{F}(V1,V4,V5,V8), P_c_Message_Oanalz-{F}(V8,V9), P_c_union-{F}(V3,V9,V5,V10), c_in-{F}(V0,V11,V5), P_c_union-{F}(V12,V13,V5,V11), P_c_union-{F}(V13,V14,V5,V9) | c_in-{T}(V0,V12,V5)
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #133: mergings( V0 == V16, V16 == V15, V1 == V17, V2 == V18, V3 == V19, V17 == V27, V18 == V28, V19 == V29, V4 == V20, V20 == V30, V5 == V21, V6 == V22, V7 == V23, V8 == V24, V9 == V25, V10 == V26, V21 == V13, V22 == V31, V23 == V32, V24 == V33, V25 == V34, V26 == V35; #88 ), references = 2, size of lhs = 14:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,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_union-{F}(V1,V4,V5,V8), P_c_Message_Oanalz-{F}(V8,V9), P_c_union-{F}(V3,V9,V5,V10), c_in-{F}(V0,V11,V5), P_c_union-{F}(V12,V13,V5,V11), P_c_union-{F}(V13,V14,V5,V10) | c_in-{T}(V0,V12,V5)
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #157: mergings( V4 == V8, V5 == V9, V0 == V10, V6 == V11, V12 == V15, V13 == V16, V14 == V17, V1 == V18; #147 ), references = 2, size of lhs = 12:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,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_union-{F}(V1,V4,V5,V8), P_c_Message_Oanalz-{F}(V8,V9), P_c_union-{F}(V9,V3,V5,V10), c_in-{F}(V0,V10,V5) | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #171: mergings( V2 == V12, V3 == V7, V4 == V8, V5 == V9, V7 == V13, V8 == V14, V9 == V15, V6 == V11, V11 == V16, V18 == V20, V19 == V21; #159 ), references = 1, size of lhs = 14:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_c_Message_Osynth-{F}(V4,V3), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V1,V5,V6,V7), P_c_union-{F}(V3,V5,V6,V8), P_c_Message_Oanalz-{F}(V8,V9), P_c_union-{F}(V4,V10,V6,V7), P_c_union-{F}(V3,V10,V6,V11), P_c_Message_Oanalz-{F}(V11,V12), c_in-{F}(V0,V12,V6) | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #184: mergings( V4 == V11, V9 == V12, V14 == V18, V15 == V19, V10 == V13, V16 == V18, V17 == V19, V5 == V0, V6 == V12, V7 == V13, V8 == V1; #172 ), references = 1, size of lhs = 10:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Osynth-{F}(V1,V2), P_c_Message_Oanalz-{F}(V1,V3), P_c_Message_Osynth-{F}(V3,V2), 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), c_in-{F}(V0,V7,V5) | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #187: exists( #8, #35 ), references = 13, size of lhs = 11:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_Message_Osynth-{F}(V6,V7), P_c_union-{F}(V7,V8,V5,V9), P_c_union-{F}(V6,V8,V5,V10), P_c_Message_Oanalz-{F}(V10,V11), P_c_union-{F}(V11,V7,V5,V12) | P_c_Message_Oanalz-{T}(V9,V12)
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #195: mergings( V4 == V9, V5 == V10, V6 == V11, V7 == V12, V8 == V13; #189 ), references = 2, size of lhs = 15:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_Message_Osynth-{F}(V6,V7), P_c_Message_Osynth-{F}(V7,V8), P_c_union-{F}(V6,V9,V5,V10), P_c_Message_Oanalz-{F}(V10,V11), P_c_union-{F}(V11,V7,V5,V12), P_c_union-{F}(V8,V9,V5,V13), P_c_Message_Oanalz-{F}(V13,V14), P_c_union-{F}(V12,V8,V5,V15), V14 == V15 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #202: mergings( V4 == V9, V5 == V10, V6 == V11, V7 == V12, V8 == V13; #196 ), references = 2, size of lhs = 15:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_Message_Osynth-{F}(V6,V7), P_c_Message_Osynth-{F}(V7,V8), P_c_union-{F}(V6,V9,V5,V10), P_c_Message_Oanalz-{F}(V10,V11), P_c_union-{F}(V11,V7,V5,V12), P_c_union-{F}(V8,V9,V5,V13), P_c_Message_Oanalz-{F}(V13,V14), P_c_union-{F}(V12,V8,V5,V15), V14 == V15 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #222: mergings( V4 == V9, V9 == V14, V5 == V10, V6 == V11, V7 == V12, V10 == V15, V11 == V16, V12 == V17, V8 == V13, V13 == V18; #209 ), references = 1, size of lhs = 21:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_Message_Osynth-{F}(V6,V7), P_c_Message_Osynth-{F}(V7,V8), P_c_Message_Osynth-{F}(V9,V8), P_c_Message_Osynth-{F}(V10,V9), P_c_union-{F}(V6,V11,V5,V12), P_c_Message_Oanalz-{F}(V12,V13), P_c_union-{F}(V13,V7,V5,V14), P_c_union-{F}(V8,V11,V5,V15), P_c_Message_Oanalz-{F}(V15,V16), P_c_union-{F}(V17,V9,V5,V14), P_c_Message_Oanalz-{F}(V18,V17), P_c_union-{F}(V10,V19,V5,V18), P_c_union-{F}(V8,V19,V5,V20), P_c_Message_Oanalz-{F}(V20,V21), V21 == V16 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #233: mergings( V4 == V9, V9 == V14, V5 == V10, V6 == V11, V7 == V12, V10 == V15, V11 == V16, V12 == V17, V8 == V13, V13 == V18; #210 ), references = 1, size of lhs = 21:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_Message_Osynth-{F}(V6,V7), P_c_Message_Osynth-{F}(V7,V8), P_c_Message_Osynth-{F}(V9,V8), P_c_Message_Osynth-{F}(V10,V9), P_c_union-{F}(V6,V11,V5,V12), P_c_Message_Oanalz-{F}(V12,V13), P_c_union-{F}(V13,V7,V5,V14), P_c_union-{F}(V8,V11,V5,V15), P_c_Message_Oanalz-{F}(V15,V16), P_c_union-{F}(V17,V9,V5,V14), P_c_Message_Oanalz-{F}(V18,V17), P_c_union-{F}(V10,V19,V5,V18), P_c_union-{F}(V8,V19,V5,V20), P_c_Message_Oanalz-{F}(V20,V21), V21 == V16 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #244: mergings( V4 == V9, V9 == V14, V5 == V10, V6 == V11, V7 == V12, V10 == V15, V11 == V16, V12 == V17, V8 == V13, V13 == V18; #211 ), references = 1, size of lhs = 19:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_Message_Osynth-{F}(V6,V7), P_c_Message_Osynth-{F}(V7,V8), P_c_union-{F}(V6,V9,V5,V10), P_c_Message_Oanalz-{F}(V10,V11), P_c_union-{F}(V11,V7,V5,V12), P_c_Message_Osynth-{F}(V12,V13), P_c_union-{F}(V8,V9,V5,V14), P_c_Message_Oanalz-{F}(V14,V15), P_c_union-{F}(V13,V8,V5,V16), P_c_Message_Oanalz-{F}(V16,V17), P_c_Message_Oanalz-{F}(V15,V18), P_c_union-{F}(V18,V13,V5,V19), V17 == V19 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #256: mergings( V4 == V9, V9 == V14, V5 == V10, V6 == V11, V7 == V12, V10 == V15, V11 == V16, V12 == V17, V8 == V13, V13 == V18; #245 ), references = 1, size of lhs = 19:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_Message_Osynth-{F}(V6,V7), P_c_Message_Osynth-{F}(V7,V8), P_c_union-{F}(V6,V9,V5,V10), P_c_Message_Oanalz-{F}(V10,V11), P_c_union-{F}(V11,V7,V5,V12), P_c_Message_Osynth-{F}(V12,V13), P_c_union-{F}(V8,V9,V5,V14), P_c_Message_Oanalz-{F}(V14,V15), P_c_union-{F}(V13,V8,V5,V16), P_c_Message_Oanalz-{F}(V16,V17), P_c_Message_Oanalz-{F}(V15,V18), P_c_union-{F}(V18,V13,V5,V19), V17 == V19 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #268: mergings( V4 == V9, V5 == V10, V6 == V11, V7 == V0, V8 == V1; #260 ), references = 1, size of lhs = 14:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_Message_Osynth-{F}(V6,V3), P_c_union-{F}(V6,V4,V5,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_union-{F}(V8,V3,V5,V9), P_c_Message_Oanalz-{F}(V3,V10), P_c_union-{F}(V10,V4,V5,V11), P_c_Message_Oanalz-{F}(V11,V12), V12 == V9 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #274: mergings( V4 == V9, V5 == V10, V6 == V11, V7 == V0, V8 == V1; #261 ), references = 1, size of lhs = 15:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V1,V4,V5,V6), P_c_Message_Osynth-{F}(V7,V3), P_c_union-{F}(V7,V4,V5,V8), P_c_Message_Oanalz-{F}(V8,V9), P_c_union-{F}(V9,V3,V5,V10), P_c_Message_Oanalz-{F}(V3,V11), P_c_union-{F}(V11,V4,V5,V12), P_c_Message_Oanalz-{F}(V12,V13), V13 == V10 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #280: mergings( V4 == V9, V5 == V10, V6 == V11, V7 == V0, V8 == V1; #262 ), references = 1, size of lhs = 16:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V1,V4,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Osynth-{F}(V8,V3), P_c_union-{F}(V8,V4,V5,V9), P_c_Message_Oanalz-{F}(V9,V10), P_c_union-{F}(V10,V3,V5,V11), P_c_Message_Oanalz-{F}(V3,V12), P_c_union-{F}(V12,V4,V5,V13), P_c_Message_Oanalz-{F}(V13,V14), V14 == V11 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #289: mergings( V4 == V9, V5 == V10, V6 == V11, V7 == V1, V8 == V12; #281 ), references = 6, size of lhs = 12:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_Message_Osynth-{F}(V6,V3), P_c_union-{F}(V6,V4,V5,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Oanalz-{F}(V3,V9), P_c_union-{F}(V9,V4,V5,V10), P_c_Message_Oanalz-{F}(V10,V11) | P_c_union-{T}(V8,V3,V5,V11)
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #295: mergings( V4 == V9, V5 == V10, V6 == V11, V7 == V1, V8 == V12; #282 ), references = 1, size of lhs = 13:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V1,V4,V5,V6), P_c_Message_Osynth-{F}(V7,V3), P_c_union-{F}(V7,V4,V5,V8), P_c_Message_Oanalz-{F}(V8,V9), P_c_Message_Oanalz-{F}(V3,V10), P_c_union-{F}(V10,V4,V5,V11), P_c_Message_Oanalz-{F}(V11,V12) | P_c_union-{T}(V9,V3,V5,V12)
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #301: mergings( V4 == V9, V5 == V10, V6 == V11, V7 == V1, V8 == V12; #283 ), references = 1, size of lhs = 14:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V1,V4,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Osynth-{F}(V8,V3), P_c_union-{F}(V8,V4,V5,V9), P_c_Message_Oanalz-{F}(V9,V10), P_c_Message_Oanalz-{F}(V3,V11), P_c_union-{F}(V11,V4,V5,V12), P_c_Message_Oanalz-{F}(V12,V13) | P_c_union-{T}(V10,V3,V5,V13)
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #313: mergings( V4 == V9, V5 == V10, V6 == V11, V7 == V0, V8 == V1; #305 ), references = 3, size of lhs = 16:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_Message_Osynth-{F}(V6,V3), P_c_union-{F}(V6,V4,V5,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_union-{F}(V8,V3,V5,V9), P_c_Message_Oanalz-{F}(V10,V11), P_c_union-{F}(V11,V12,V5,V13), P_c_Message_Oanalz-{F}(V13,V14), P_c_union-{F}(V10,V12,V5,V15), P_c_Message_Oanalz-{F}(V15,V16), V14 == V16 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #319: mergings( V4 == V9, V5 == V10, V6 == V11, V7 == V0, V8 == V1; #306 ), references = 3, size of lhs = 17:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V1,V4,V5,V6), P_c_Message_Osynth-{F}(V7,V3), P_c_union-{F}(V7,V4,V5,V8), P_c_Message_Oanalz-{F}(V8,V9), P_c_union-{F}(V9,V3,V5,V10), P_c_Message_Oanalz-{F}(V11,V12), P_c_union-{F}(V12,V13,V5,V14), P_c_Message_Oanalz-{F}(V14,V15), P_c_union-{F}(V11,V13,V5,V16), P_c_Message_Oanalz-{F}(V16,V17), V15 == V17 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #325: mergings( V4 == V9, V5 == V10, V6 == V11, V7 == V0, V8 == V1; #307 ), references = 3, size of lhs = 18:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V1,V4,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Osynth-{F}(V8,V3), P_c_union-{F}(V8,V4,V5,V9), P_c_Message_Oanalz-{F}(V9,V10), P_c_union-{F}(V10,V3,V5,V11), P_c_Message_Oanalz-{F}(V12,V13), P_c_union-{F}(V13,V14,V5,V15), P_c_Message_Oanalz-{F}(V15,V16), P_c_union-{F}(V12,V14,V5,V17), P_c_Message_Oanalz-{F}(V17,V18), V16 == V18 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #342: mergings( V4 == V11, V5 == V9, V6 == V10, V7 == V0, V9 == V12, V10 == V13, V8 == V1; #332 ), references = 1, size of lhs = 12:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_v_H-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_c_Message_Oanalz-{F}(V1,V4), P_c_Message_Osynth-{F}(V4,V5), P_c_union-{F}(V4,V2,V3,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Osynth-{F}(V8,V5), P_c_union-{F}(V8,V2,V3,V9), P_c_Message_Oanalz-{F}(V9,V10), P_c_union-{F}(V10,V5,V3,V7) | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #350: mergings( V4 == V11, V5 == V9, V6 == V10, V7 == V0, V9 == V12, V10 == V13, V8 == V1; #333 ), references = 2, size of lhs = 12:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V1,V4,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Osynth-{F}(V8,V3), P_c_union-{F}(V8,V4,V5,V9), P_c_Message_Oanalz-{F}(V9,V10), P_c_union-{F}(V10,V3,V5,V7) | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #358: mergings( V4 == V11, V5 == V9, V6 == V10, V7 == V0, V9 == V12, V10 == V13, V8 == V1; #334 ), references = 3, size of lhs = 13:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V1,V4,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_union-{F}(V7,V3,V5,V8), P_c_Message_Osynth-{F}(V9,V3), P_c_union-{F}(V9,V4,V5,V10), P_c_Message_Oanalz-{F}(V10,V11), P_c_union-{F}(V11,V3,V5,V8) | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #372: mergings( V2 == V9, V3 == V10, V4 == V11, V6 == V12; #365 ), references = 1, size of lhs = 15:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_c_Message_Osynth-{F}(V4,V3), P_c_Message_Oanalz-{F}(V3,V5), P_v_H-{F}(V6), P_tc_Message_Omsg-{F}(V7), P_c_union-{F}(V4,V6,V7,V8), P_c_union-{F}(V5,V6,V7,V9), P_c_Message_Oanalz-{F}(V9,V10), P_c_union-{F}(V1,V6,V7,V11), P_c_Message_Oanalz-{F}(V11,V10), P_c_Message_Osynth-{F}(V12,V3), P_c_union-{F}(V12,V6,V7,V8) | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #377: mergings( V4 == V9, V5 == V10, V6 == V11; #373 ), references = 1, size of lhs = 12:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_c_Message_Oanalz-{F}(V3,V4), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V4,V5,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_union-{F}(V1,V5,V6,V9), P_c_Message_Oanalz-{F}(V9,V8), P_c_Message_Osynth-{F}(V10,V3) | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #392: mergings( V2 == V9, V3 == V10, V4 == V11, V6 == V12; #385 ), references = 1, size of lhs = 17:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_c_Message_Osynth-{F}(V4,V3), P_c_Message_Oanalz-{F}(V3,V5), P_v_H-{F}(V6), P_tc_Message_Omsg-{F}(V7), P_c_union-{F}(V4,V6,V7,V8), P_c_union-{F}(V5,V6,V7,V9), P_c_Message_Oanalz-{F}(V9,V10), P_c_Message_Osynth-{F}(V11,V3), P_c_union-{F}(V11,V6,V7,V8), P_c_Message_Oanalz-{F}(V12,V13), P_c_union-{F}(V13,V14,V7,V8), P_c_union-{F}(V12,V14,V7,V15), P_c_Message_Oanalz-{F}(V15,V16) | P_c_Message_Oanalz-{T}(V8,V16)
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #397: mergings( V2 == V9, V3 == V10, V4 == V11, V6 == V12; #386 ), references = 1, size of lhs = 18:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_c_Message_Osynth-{F}(V4,V3), P_c_Message_Oanalz-{F}(V3,V5), P_v_H-{F}(V6), P_tc_Message_Omsg-{F}(V7), P_c_union-{F}(V4,V6,V7,V8), P_c_union-{F}(V5,V6,V7,V9), P_c_Message_Oanalz-{F}(V9,V10), P_c_union-{F}(V1,V6,V7,V11), P_c_Message_Osynth-{F}(V12,V3), P_c_union-{F}(V12,V6,V7,V8), P_c_Message_Oanalz-{F}(V13,V14), P_c_union-{F}(V14,V15,V7,V8), P_c_union-{F}(V13,V15,V7,V16), P_c_Message_Oanalz-{F}(V16,V17) | P_c_Message_Oanalz-{T}(V8,V17)
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #402: mergings( V2 == V9, V3 == V10, V4 == V11, V6 == V12; #387 ), references = 1, size of lhs = 19:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_c_Message_Osynth-{F}(V4,V3), P_c_Message_Oanalz-{F}(V3,V5), P_v_H-{F}(V6), P_tc_Message_Omsg-{F}(V7), P_c_union-{F}(V4,V6,V7,V8), P_c_union-{F}(V5,V6,V7,V9), P_c_Message_Oanalz-{F}(V9,V10), P_c_union-{F}(V1,V6,V7,V11), P_c_Message_Oanalz-{F}(V11,V12), P_c_Message_Osynth-{F}(V13,V3), P_c_union-{F}(V13,V6,V7,V8), P_c_Message_Oanalz-{F}(V14,V15), P_c_union-{F}(V15,V16,V7,V8), P_c_union-{F}(V14,V16,V7,V17), P_c_Message_Oanalz-{F}(V17,V18) | P_c_Message_Oanalz-{T}(V8,V18)
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #419: mergings( V4 == V9, V9 == V14, V14 == V19, V7 == V17, V8 == V18, V12 == V22, V13 == V23, V5 == V10, V6 == V11, V10 == V15, V11 == V16, V15 == V20, V16 == V21; #405 ), references = 2, size of lhs = 15:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_c_Message_Oanalz-{F}(V3,V4), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V4,V5,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_union-{F}(V1,V5,V6,V9), P_c_Message_Oanalz-{F}(V9,V10), P_c_Message_Osynth-{F}(V11,V3), P_c_Message_Oanalz-{F}(V12,V11), P_c_union-{F}(V12,V5,V6,V13), P_c_Message_Oanalz-{F}(V13,V10) | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #421: exists( #8, #419 ), references = 1, size of lhs = 13:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_c_Message_Oanalz-{F}(V3,V4), P_v_H-{F}(V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V4,V5,V6,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_union-{F}(V1,V5,V6,V9), P_c_union-{F}(V10,V5,V6,V9), P_c_Message_Oanalz-{F}(V10,V11), P_c_Message_Osynth-{F}(V11,V3) | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #424: mergings( V5 == V10; #422 ), references = 1, size of lhs = 9:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_v_H-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_c_Message_Oanalz-{F}(V1,V4), P_c_Message_Osynth-{F}(V4,V5), P_c_Message_Oanalz-{F}(V5,V6), P_c_union-{F}(V6,V2,V3,V7), P_c_Message_Oanalz-{F}(V7,V8) | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #429: exists( #9, #358 ), references = 2, size of lhs = 11:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V1,V4,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Osynth-{F}(V8,V3), P_c_union-{F}(V8,V4,V5,V9), P_c_Message_Oanalz-{F}(V9,V7) | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #433: exists( #9, #313 ), references = 2, size of lhs = 15:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_Message_Osynth-{F}(V6,V3), P_c_union-{F}(V6,V4,V5,V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Oanalz-{F}(V9,V10), P_c_union-{F}(V10,V11,V5,V12), P_c_Message_Oanalz-{F}(V12,V13), P_c_union-{F}(V9,V11,V5,V14), P_c_Message_Oanalz-{F}(V14,V15), V13 == V15 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #434: exists( #9, #319 ), references = 2, size of lhs = 16:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V1,V4,V5,V6), P_c_Message_Osynth-{F}(V7,V3), P_c_union-{F}(V7,V4,V5,V8), P_c_Message_Oanalz-{F}(V8,V9), P_c_Message_Oanalz-{F}(V10,V11), P_c_union-{F}(V11,V12,V5,V13), P_c_Message_Oanalz-{F}(V13,V14), P_c_union-{F}(V10,V12,V5,V15), P_c_Message_Oanalz-{F}(V15,V16), V14 == V16 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #435: exists( #9, #325 ), references = 2, size of lhs = 17:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V1,V4,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Osynth-{F}(V8,V3), P_c_union-{F}(V8,V4,V5,V9), P_c_Message_Oanalz-{F}(V9,V10), P_c_Message_Oanalz-{F}(V11,V12), P_c_union-{F}(V12,V13,V5,V14), P_c_Message_Oanalz-{F}(V14,V15), P_c_union-{F}(V11,V13,V5,V16), P_c_Message_Oanalz-{F}(V16,V17), V15 == V17 | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #439: exists( #8, #433 ), references = 1, size of lhs = 12:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_Message_Osynth-{F}(V6,V3), P_c_union-{F}(V6,V4,V5,V7), P_c_Message_Oanalz-{F}(V8,V9), P_c_union-{F}(V9,V10,V5,V7), P_c_union-{F}(V8,V10,V5,V11), P_c_Message_Oanalz-{F}(V11,V12) | P_c_Message_Oanalz-{T}(V7,V12)
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #440: exists( #8, #434 ), references = 1, size of lhs = 13:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V1,V4,V5,V6), P_c_Message_Osynth-{F}(V7,V3), P_c_union-{F}(V7,V4,V5,V8), P_c_Message_Oanalz-{F}(V9,V10), P_c_union-{F}(V10,V11,V5,V8), P_c_union-{F}(V9,V11,V5,V12), P_c_Message_Oanalz-{F}(V12,V13) | P_c_Message_Oanalz-{T}(V8,V13)
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #441: exists( #8, #435 ), references = 1, size of lhs = 14:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V1,V4,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Osynth-{F}(V8,V3), P_c_union-{F}(V8,V4,V5,V9), P_c_Message_Oanalz-{F}(V10,V11), P_c_union-{F}(V11,V12,V5,V9), P_c_union-{F}(V10,V12,V5,V13), P_c_Message_Oanalz-{F}(V13,V14) | P_c_Message_Oanalz-{T}(V9,V14)
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #448: mergings( V4 == V8, V7 == V11, V5 == V9, V6 == V10; #443 ), references = 2, size of lhs = 12:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V1,V4,V5,V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_Message_Osynth-{F}(V8,V3), P_c_Message_Oanalz-{F}(V9,V8), P_c_union-{F}(V9,V4,V5,V10), P_c_Message_Oanalz-{F}(V10,V7) | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #450: exists( #8, #448 ), references = 1, size of lhs = 10:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_c_Message_Osynth-{F}(V2,V3), P_v_H-{F}(V4), P_tc_Message_Omsg-{F}(V5), P_c_union-{F}(V1,V4,V5,V6), P_c_union-{F}(V7,V4,V5,V6), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Osynth-{F}(V8,V3) | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #453: mergings( V5 == V7; #451 ), references = 1, size of lhs = 6:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_v_H-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_c_Message_Oanalz-{F}(V1,V4), P_c_Message_Osynth-{F}(V4,V5) | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #455: exists( #10, #451 ), references = 1, size of lhs = 5:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_v_H-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_c_Message_Oanalz-{F}(V1,V4) | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #457: exists( #8, #454 ), references = 1, size of lhs = 4:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_v_H-{F}(V2), P_tc_Message_Omsg-{F}(V3) | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #459: exists( #13, #456 ), references = 1, size of lhs = 3:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1), P_v_H-{F}(V2) | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #461: exists( #12, #458 ), references = 1, size of lhs = 2:
% 2.93/3.13 P_v_x-{F}(V0), P_v_G-{F}(V1) | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #463: exists( #11, #460 ), references = 1, size of lhs = 1:
% 2.93/3.13 P_v_x-{F}(V0) | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 #465: exists( #7, #462 ), references = 1, size of lhs = 0:
% 2.93/3.13 FALSE | FALSE
% 2.93/3.13 (used 0 times, uses = {})
% 2.93/3.13
% 2.93/3.13 number of learnt formulas = 64
% 2.93/3.13
% 2.93/3.13
% 2.93/3.13 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.93/3.13
% 2.93/3.13 randbase = 1
%------------------------------------------------------------------------------