TSTP Solution File: SWV242-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SWV242-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:21:14 EDT 2022
% Result : Unsatisfiable 0.73s 0.90s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV242-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 16:10:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.73/0.90 GeoParameters:
% 0.73/0.90
% 0.73/0.90 tptp_input = 1
% 0.73/0.90 tptp_output = 0
% 0.73/0.90 nonempty = 1
% 0.73/0.90 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.73/0.90 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.73/0.90
% 0.73/0.90
% 0.73/0.90 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.73/0.90 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.73/0.90
% 0.73/0.90 RuleSystem INPUT:
% 0.73/0.90
% 0.73/0.90 Initial Rules:
% 0.73/0.90 #0: input, references = 7, size of lhs = 5:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G_H-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_tc_Message_Omsg-{F}(V3), P_tc_set-{F}(V3,V4) | c_lessequals-{T}(V0,V2,V4)
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #1: input, references = 8, size of lhs = 8:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G_H-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_tc_Message_Omsg-{F}(V3), P_tc_set-{F}(V3,V4), P_v_H-{F}(V5), P_v_H_H-{F}(V6), P_c_Message_Oanalz-{F}(V6,V7) | c_lessequals-{T}(V5,V7,V4)
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #2: input, references = 8, size of lhs = 12:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G_H-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_tc_Message_Omsg-{F}(V3), P_tc_set-{F}(V3,V4), P_v_H-{F}(V5), P_v_H_H-{F}(V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_union-{F}(V1,V6,V3,V8), P_c_Message_Oanalz-{F}(V8,V9), c_lessequals-{F}(V5,V9,V4), c_lessequals-{F}(V0,V9,V4) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #3: input, references = 17, size of lhs = 13:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G_H-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_tc_Message_Omsg-{F}(V3), P_tc_set-{F}(V3,V4), P_v_H-{F}(V5), P_v_H_H-{F}(V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_union-{F}(V1,V6,V3,V8), P_c_Message_Oanalz-{F}(V8,V9), P_c_Message_Oanalz-{F}(V10,V12), P_c_Message_Oanalz-{F}(V11,V13), c_lessequals-{F}(V10,V11,V4) | c_lessequals-{T}(V12,V13,V4)
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #4: input, references = 9, size of lhs = 12:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G_H-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_tc_Message_Omsg-{F}(V3), P_tc_set-{F}(V3,V4), P_v_H-{F}(V5), P_v_H_H-{F}(V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_union-{F}(V1,V6,V3,V8), P_c_Message_Oanalz-{F}(V8,V9), P_c_union-{F}(V10,V11,V12,V13), P_tc_set-{F}(V12,V14) | c_lessequals-{T}(V10,V13,V14)
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #5: input, references = 9, size of lhs = 12:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G_H-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_tc_Message_Omsg-{F}(V3), P_tc_set-{F}(V3,V4), P_v_H-{F}(V5), P_v_H_H-{F}(V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_union-{F}(V1,V6,V3,V8), P_c_Message_Oanalz-{F}(V8,V9), P_c_union-{F}(V10,V11,V12,V13), P_tc_set-{F}(V12,V14) | c_lessequals-{T}(V11,V13,V14)
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #6: input, references = 13, size of lhs = 13:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G_H-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_tc_Message_Omsg-{F}(V3), P_tc_set-{F}(V3,V4), P_v_H-{F}(V5), P_v_H_H-{F}(V6), P_c_Message_Oanalz-{F}(V6,V7), P_c_union-{F}(V1,V6,V3,V8), P_c_Message_Oanalz-{F}(V8,V9), P_tc_set-{F}(V11,V13), c_lessequals-{F}(V10,V12,V13), c_lessequals-{F}(V14,V10,V13) | c_lessequals-{T}(V14,V12,V13)
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #7: input, references = 4, size of lhs = 0:
% 0.73/0.90 FALSE | EXISTS V0: P_v_G-{T}(V0)
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #8: input, references = 16, size of lhs = 1:
% 0.73/0.90 #-{F} V0 | EXISTS V1: P_c_Message_Oanalz-{T}(V0,V1)
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #9: input, references = 4, size of lhs = 0:
% 0.73/0.90 FALSE | EXISTS V0: P_v_G_H-{T}(V0)
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #10: input, references = 9, size of lhs = 1:
% 0.73/0.90 #-{F} V0 | EXISTS V1: P_tc_set-{T}(V0,V1)
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #11: input, references = 4, size of lhs = 0:
% 0.73/0.90 FALSE | EXISTS V0: P_tc_Message_Omsg-{T}(V0)
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #12: input, references = 4, size of lhs = 0:
% 0.73/0.90 FALSE | EXISTS V0: P_v_H-{T}(V0)
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #13: input, references = 5, size of lhs = 0:
% 0.73/0.90 FALSE | EXISTS V0: P_v_H_H-{T}(V0)
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #14: input, references = 9, size of lhs = 3:
% 0.73/0.90 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_union-{T}(V0,V1,V2,V3)
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 number of initial rules = 15
% 0.73/0.90
% 0.73/0.90 Simplifiers:
% 0.73/0.90 #15: unsound, references = 3, size of lhs = 3:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G-{F}(V1), V0 == V1 | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #16: unsound, references = 3, size of lhs = 3:
% 0.73/0.90 P_c_Message_Oanalz-{F}(V0,V1), P_c_Message_Oanalz-{F}(V0,V3), V1 == V3 | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #17: unsound, references = 3, size of lhs = 3:
% 0.73/0.90 P_v_G_H-{F}(V0), P_v_G_H-{F}(V1), V0 == V1 | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #18: unsound, references = 3, size of lhs = 3:
% 0.73/0.90 P_tc_set-{F}(V0,V1), P_tc_set-{F}(V0,V3), V1 == V3 | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #19: unsound, references = 3, size of lhs = 3:
% 0.73/0.90 P_tc_Message_Omsg-{F}(V0), P_tc_Message_Omsg-{F}(V1), V0 == V1 | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #20: unsound, references = 3, size of lhs = 3:
% 0.73/0.90 P_v_H-{F}(V0), P_v_H-{F}(V1), V0 == V1 | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #21: unsound, references = 3, size of lhs = 3:
% 0.73/0.90 P_v_H_H-{F}(V0), P_v_H_H-{F}(V1), V0 == V1 | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #22: unsound, references = 3, size of lhs = 3:
% 0.73/0.90 P_c_union-{F}(V0,V1,V2,V3), P_c_union-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 number of simplifiers = 8
% 0.73/0.90
% 0.73/0.90 Learnt:
% 0.73/0.90 #50: mergings( V2 == V10, V10 == V19, V19 == V27, V3 == V11, V4 == V12, V11 == V20, V12 == V21, V20 == V28, V21 == V29, V5 == V13, V6 == V14, V13 == V22, V14 == V23, V22 == V30, V7 == V16, V16 == V24, V24 == V27, V8 == V17, V9 == V18, V17 == V25, V18 == V26, V25 == V32, V26 == V33; #26 ), references = 1, size of lhs = 14:
% 0.73/0.90 P_v_G-{F}(V0), P_v_H-{F}(V0), P_v_G_H-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_tc_Message_Omsg-{F}(V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4), P_tc_set-{F}(V6,V4), P_v_H_H-{F}(V7), P_c_union-{F}(V1,V7,V3,V8), P_c_Message_Oanalz-{F}(V7,V9), c_lessequals-{F}(V0,V10,V4), P_c_Message_Oanalz-{F}(V11,V10), P_c_union-{F}(V12,V11,V5,V8) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #67: mergings( V4 == V9, V9 == V14, V14 == V19, V5 == V10, V10 == V15, V15 == V20, V8 == V13, V13 == V18, V18 == V22, V22 == V23, V6 == V16, V16 == V11, V7 == V12, V12 == V17, V17 == V19; #51 ), references = 2, size of lhs = 10:
% 0.73/0.90 P_v_G-{F}(V0), P_v_H-{F}(V0), P_v_G_H-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_tc_Message_Omsg-{F}(V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4), P_v_H_H-{F}(V6), P_c_Message_Oanalz-{F}(V6,V7), c_lessequals-{F}(V0,V7,V4) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #85: mergings( V4 == V6, V6 == V8, V8 == V10, V12 == V13, V13 == V14, V14 == V15, V3 == V17, V17 == V18, V18 == V19, V19 == V20, V2 == V11, V20 == V15, V5 == V7, V7 == V9, V9 == V10; #69 ), references = 1, size of lhs = 7:
% 0.73/0.90 P_v_G-{F}(V0), P_v_H-{F}(V0), P_v_G_H-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_tc_Message_Omsg-{F}(V3), P_v_H_H-{F}(V4), P_c_Message_Oanalz-{F}(V4,V2) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #92: mergings( V2 == V7, V3 == V8, V4 == V9, V5 == V10; #87 ), references = 1, size of lhs = 7:
% 0.73/0.90 P_v_G-{F}(V0), P_v_H-{F}(V0), P_v_G_H-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_tc_Message_Omsg-{F}(V3), P_v_H_H-{F}(V4), P_c_Message_Oanalz-{F}(V4,V5) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #96: mergings( V2 == V5, V3 == V7; #93 ), references = 1, size of lhs = 6:
% 0.73/0.90 P_v_G-{F}(V0), P_v_H-{F}(V0), P_v_G_H-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_v_H_H-{F}(V3), P_c_Message_Oanalz-{F}(V3,V4) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #99: mergings( V2 == V3; #97 ), references = 1, size of lhs = 5:
% 0.73/0.90 P_v_G-{F}(V0), P_v_H-{F}(V0), P_v_G_H-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_v_H_H-{F}(V3) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #102: mergings( V1 == V2; #100 ), references = 1, size of lhs = 4:
% 0.73/0.90 P_v_G-{F}(V0), P_v_H-{F}(V0), P_v_G_H-{F}(V1), P_tc_Message_Omsg-{F}(V2) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #145: mergings( V2 == V10, V10 == V19, V19 == V27, V27 == V35, V3 == V11, V4 == V12, V11 == V20, V12 == V21, V20 == V28, V21 == V29, V28 == V36, V29 == V37, V5 == V13, V6 == V14, V13 == V22, V14 == V23, V22 == V30, V23 == V31, V30 == V38, V7 == V16, V16 == V24, V24 == V32, V32 == V41, V8 == V17, V9 == V18, V17 == V25, V18 == V26, V25 == V33, V26 == V34, V33 == V42, V34 == V43; #113 ), references = 4, size of lhs = 16:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G_H-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_tc_Message_Omsg-{F}(V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4), P_tc_set-{F}(V6,V4), P_tc_set-{F}(V7,V4), P_v_H-{F}(V8), P_v_H_H-{F}(V9), P_c_union-{F}(V1,V9,V3,V10), P_c_Message_Oanalz-{F}(V9,V11), c_lessequals-{F}(V0,V12,V4), c_lessequals-{F}(V8,V12,V4), P_c_Message_Oanalz-{F}(V13,V12), P_c_union-{F}(V13,V14,V5,V10) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #167: mergings( V4 == V9, V9 == V14, V14 == V19, V19 == V24, V5 == V10, V10 == V15, V15 == V20, V20 == V25, V25 == V30, V8 == V13, V13 == V18, V18 == V23, V23 == V29, V6 == V16, V16 == V21, V21 == V11, V7 == V12, V12 == V17, V17 == V22, V22 == V28; #146 ), references = 4, size of lhs = 12:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G_H-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_tc_set-{F}(V5,V3), P_v_H-{F}(V6), P_v_H_H-{F}(V7), P_c_Message_Oanalz-{F}(V7,V8), P_c_Message_Oanalz-{F}(V1,V9), c_lessequals-{F}(V0,V9,V3), c_lessequals-{F}(V6,V9,V3) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #194: mergings( V4 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V3 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V2 == V5, V22 == V6, V5 == V17, V9 == V11, V11 == V13, V13 == V15, V15 == V23, V7 == V24, V6 == V29; #170 ), references = 1, size of lhs = 7:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G_H-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_tc_Message_Omsg-{F}(V3), P_v_H-{F}(V4), P_v_H_H-{F}(V5), P_c_Message_Oanalz-{F}(V5,V2) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #205: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V13; #195 ), references = 1, size of lhs = 5:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G_H-{F}(V1), P_v_H_H-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_v_H-{F}(V3) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #235: mergings( V2 == V10, V10 == V19, V3 == V11, V4 == V12, V11 == V20, V12 == V26, V5 == V13, V6 == V14, V13 == V21, V7 == V16, V16 == V24, V8 == V17, V9 == V18, V17 == V27, V18 == V28; #218 ), references = 1, size of lhs = 16:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G_H-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_tc_set-{F}(V5,V3), P_tc_set-{F}(V6,V3), P_v_H-{F}(V7), P_c_Message_Oanalz-{F}(V8,V7), P_c_Message_Oanalz-{F}(V1,V9), c_lessequals-{F}(V0,V9,V3), P_v_H_H-{F}(V10), P_c_union-{F}(V1,V10,V2,V11), P_c_Message_Oanalz-{F}(V10,V12), P_c_Message_Oanalz-{F}(V13,V9), P_c_union-{F}(V8,V14,V4,V13) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #252: mergings( V2 == V10, V10 == V19, V3 == V11, V4 == V12, V11 == V20, V12 == V21, V5 == V13, V6 == V14, V13 == V22, V7 == V16, V16 == V26, V8 == V17, V9 == V18, V17 == V28, V18 == V30, V0 == V29; #219 ), references = 1, size of lhs = 19:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G_H-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_tc_Message_Omsg-{F}(V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4), P_tc_set-{F}(V6,V4), P_tc_set-{F}(V7,V4), P_tc_set-{F}(V8,V4), P_v_H-{F}(V9), P_c_Message_Oanalz-{F}(V10,V9), P_v_H_H-{F}(V11), P_c_union-{F}(V1,V11,V3,V12), P_c_Message_Oanalz-{F}(V11,V13), c_lessequals-{F}(V0,V14,V4), P_c_Message_Oanalz-{F}(V15,V14), P_c_union-{F}(V15,V16,V6,V12), P_c_Message_Oanalz-{F}(V17,V14), P_c_union-{F}(V10,V18,V5,V17) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #293: mergings( V2 == V10, V10 == V19, V19 == V27, V27 == V35, V3 == V11, V4 == V12, V11 == V20, V12 == V21, V20 == V28, V21 == V29, V28 == V36, V29 == V37, V5 == V13, V6 == V14, V13 == V22, V14 == V23, V22 == V30, V23 == V31, V30 == V38, V7 == V16, V16 == V24, V24 == V32, V32 == V41, V8 == V17, V9 == V18, V17 == V25, V18 == V26, V25 == V33, V26 == V34, V33 == V42, V34 == V43; #259 ), references = 1, size of lhs = 16:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G_H-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_tc_Message_Omsg-{F}(V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4), P_tc_set-{F}(V6,V4), P_tc_set-{F}(V7,V4), P_v_H-{F}(V8), c_lessequals-{F}(V0,V8,V4), P_v_H_H-{F}(V9), P_c_union-{F}(V1,V9,V3,V10), P_c_Message_Oanalz-{F}(V9,V11), c_lessequals-{F}(V8,V12,V4), P_c_Message_Oanalz-{F}(V13,V12), P_c_union-{F}(V14,V13,V5,V10) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #301: mergings( V2 == V10, V3 == V11, V4 == V18, V5 == V12, V7 == V15, V8 == V19, V9 == V20; #260 ), references = 2, size of lhs = 15:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G_H-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_tc_set-{F}(V5,V3), P_v_H-{F}(V6), P_c_Message_Oanalz-{F}(V7,V6), c_lessequals-{F}(V7,V8,V3), P_c_Message_Oanalz-{F}(V8,V9), P_c_Message_Oanalz-{F}(V1,V9), c_lessequals-{F}(V0,V9,V3), P_v_H_H-{F}(V10), P_c_union-{F}(V1,V10,V2,V11), P_c_Message_Oanalz-{F}(V10,V12) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #310: mergings( V2 == V10, V3 == V11, V4 == V12, V5 == V13, V7 == V17, V8 == V21, V9 == V23, V0 == V22; #261 ), references = 1, size of lhs = 18:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G_H-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_tc_Message_Omsg-{F}(V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4), P_tc_set-{F}(V6,V4), P_tc_set-{F}(V7,V4), P_v_H-{F}(V8), P_c_Message_Oanalz-{F}(V9,V8), c_lessequals-{F}(V9,V10,V4), P_c_Message_Oanalz-{F}(V10,V11), c_lessequals-{F}(V0,V11,V4), P_v_H_H-{F}(V12), P_c_union-{F}(V1,V12,V3,V13), P_c_Message_Oanalz-{F}(V12,V14), P_c_Message_Oanalz-{F}(V15,V11), P_c_union-{F}(V15,V16,V5,V13) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #334: mergings( V4 == V9, V9 == V14, V14 == V19, V19 == V24, V5 == V10, V10 == V15, V15 == V20, V20 == V25, V8 == V13, V13 == V18, V18 == V23, V23 == V29, V29 == V30, V6 == V16, V16 == V21, V21 == V11, V7 == V12, V12 == V17, V17 == V22, V22 == V28; #311 ), references = 1, size of lhs = 12:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G_H-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_tc_Message_Omsg-{F}(V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4), P_tc_set-{F}(V6,V4), P_v_H-{F}(V7), c_lessequals-{F}(V0,V7,V4), P_v_H_H-{F}(V8), P_c_Message_Oanalz-{F}(V8,V9), c_lessequals-{F}(V7,V9,V4) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #361: mergings( V4 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V8 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V2 == V5, V3 == V6, V5 == V18, V6 == V23, V23 == V10, V10 == V12, V12 == V14, V14 == V16, V7 == V24; #337 ), references = 1, size of lhs = 7:
% 0.73/0.90 P_v_H-{F}(V0), P_v_G-{F}(V1), P_v_G_H-{F}(V2), P_c_Message_Oanalz-{F}(V2,V0), P_tc_Message_Omsg-{F}(V3), P_v_H_H-{F}(V4), P_c_Message_Oanalz-{F}(V4,V5) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #418: mergings( V2 == V10, V10 == V18, V18 == V28, V28 == V35, V35 == V43, V3 == V11, V4 == V12, V11 == V19, V12 == V20, V19 == V29, V20 == V30, V29 == V36, V30 == V37, V36 == V45, V37 == V46, V5 == V13, V6 == V14, V13 == V21, V14 == V22, V21 == V31, V31 == V38, V22 == V39, V38 == V47, V7 == V15, V15 == V25, V25 == V32, V32 == V40, V40 == V49, V8 == V16, V9 == V17, V16 == V26, V17 == V27, V26 == V33, V27 == V34, V33 == V41, V34 == V42, V41 == V50, V42 == V51; #379 ), references = 1, size of lhs = 17:
% 0.73/0.90 P_v_G-{F}(V0), P_c_Message_Oanalz-{F}(V1,V0), P_v_G_H-{F}(V2), P_c_Message_Oanalz-{F}(V2,V3), P_tc_Message_Omsg-{F}(V4), P_tc_set-{F}(V4,V5), P_tc_set-{F}(V6,V5), P_tc_set-{F}(V7,V5), P_tc_set-{F}(V8,V5), P_v_H-{F}(V9), P_v_H_H-{F}(V10), P_c_union-{F}(V2,V10,V4,V11), P_c_Message_Oanalz-{F}(V10,V12), P_c_union-{F}(V1,V13,V6,V11), c_lessequals-{F}(V9,V14,V5), P_c_Message_Oanalz-{F}(V15,V14), P_c_union-{F}(V16,V15,V7,V11) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #445: mergings( V4 == V9, V9 == V14, V14 == V19, V19 == V23, V23 == V28, V28 == V5, V5 == V10, V10 == V15, V15 == V20, V20 == V24, V24 == V29, V8 == V13, V13 == V18, V18 == V22, V22 == V27, V27 == V32, V32 == V33, V6 == V11, V11 == V25, V25 == V16, V7 == V12, V12 == V17, V17 == V21, V21 == V26, V26 == V31; #419 ), references = 1, size of lhs = 10:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G_H-{F}(V1), P_c_Message_Oanalz-{F}(V1,V0), P_tc_Message_Omsg-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_v_H-{F}(V5), P_v_H_H-{F}(V6), P_c_Message_Oanalz-{F}(V6,V7), c_lessequals-{F}(V5,V7,V3) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #474: mergings( V2 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V6 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V31, V31 == V32, V3 == V18, V4 == V24, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V25, V5 == V26; #447 ), references = 1, size of lhs = 7:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G_H-{F}(V1), P_c_Message_Oanalz-{F}(V1,V0), P_tc_Message_Omsg-{F}(V2), P_v_H-{F}(V3), P_v_H_H-{F}(V4), P_c_Message_Oanalz-{F}(V4,V5) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #521: mergings( V2 == V10, V10 == V19, V19 == V27, V3 == V11, V4 == V12, V11 == V20, V12 == V21, V20 == V28, V21 == V36, V5 == V13, V6 == V14, V13 == V22, V14 == V23, V22 == V29, V7 == V16, V16 == V24, V24 == V33, V8 == V17, V9 == V18, V17 == V25, V18 == V26, V25 == V34, V26 == V35; #496 ), references = 1, size of lhs = 18:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G_H-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_tc_set-{F}(V5,V3), P_tc_set-{F}(V6,V3), P_tc_set-{F}(V7,V3), P_v_H-{F}(V8), P_v_H_H-{F}(V9), P_c_union-{F}(V1,V9,V2,V10), P_c_Message_Oanalz-{F}(V9,V11), P_c_Message_Oanalz-{F}(V1,V12), c_lessequals-{F}(V0,V12,V3), P_c_Message_Oanalz-{F}(V13,V12), c_lessequals-{F}(V8,V14,V3), P_c_Message_Oanalz-{F}(V15,V14), P_c_union-{F}(V16,V15,V4,V13) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #546: mergings( V2 == V10, V10 == V19, V19 == V27, V3 == V11, V4 == V12, V11 == V20, V12 == V21, V20 == V28, V21 == V29, V5 == V13, V6 == V14, V13 == V22, V14 == V23, V22 == V30, V7 == V16, V16 == V24, V24 == V35, V8 == V17, V9 == V18, V17 == V25, V18 == V26, V25 == V36, V26 == V38, V0 == V37; #497 ), references = 1, size of lhs = 21:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G_H-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_tc_Message_Omsg-{F}(V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4), P_tc_set-{F}(V6,V4), P_tc_set-{F}(V7,V4), P_tc_set-{F}(V8,V4), P_tc_set-{F}(V9,V4), P_v_H-{F}(V10), P_v_H_H-{F}(V11), P_c_union-{F}(V1,V11,V3,V12), P_c_Message_Oanalz-{F}(V11,V13), c_lessequals-{F}(V10,V14,V4), P_c_Message_Oanalz-{F}(V15,V14), c_lessequals-{F}(V0,V16,V4), P_c_Message_Oanalz-{F}(V17,V16), P_c_union-{F}(V17,V18,V7,V12), P_c_Message_Oanalz-{F}(V19,V16), P_c_union-{F}(V20,V15,V5,V19) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #564: mergings( V4 == V9, V9 == V15, V15 == V20, V5 == V10, V10 == V16, V16 == V21, V21 == V29, V8 == V14, V14 == V19, V19 == V26, V6 == V17, V17 == V11, V7 == V13, V13 == V18, V18 == V25; #548 ), references = 1, size of lhs = 17:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G_H-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_tc_set-{F}(V5,V3), P_tc_set-{F}(V6,V3), P_tc_set-{F}(V7,V3), P_v_H-{F}(V8), P_v_H_H-{F}(V9), P_c_Message_Oanalz-{F}(V9,V10), P_c_Message_Oanalz-{F}(V1,V11), c_lessequals-{F}(V0,V11,V3), c_lessequals-{F}(V8,V12,V3), P_c_Message_Oanalz-{F}(V13,V12), P_c_Message_Oanalz-{F}(V14,V11), P_c_union-{F}(V15,V13,V4,V14) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #582: mergings( V4 == V9, V9 == V15, V15 == V20, V5 == V10, V10 == V16, V8 == V14, V14 == V19, V0 == V21, V16 == V29, V6 == V11, V11 == V17, V2 == V22, V7 == V13, V13 == V18, V18 == V26, V1 == V27, V19 == V28; #547 ), references = 1, size of lhs = 17:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G_H-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_tc_set-{F}(V5,V3), P_tc_set-{F}(V6,V3), P_tc_set-{F}(V7,V3), P_v_H-{F}(V8), P_v_H_H-{F}(V9), P_c_Message_Oanalz-{F}(V9,V10), P_c_Message_Oanalz-{F}(V1,V11), c_lessequals-{F}(V0,V11,V3), P_c_Message_Oanalz-{F}(V12,V11), c_lessequals-{F}(V8,V13,V3), P_c_Message_Oanalz-{F}(V14,V13), P_c_union-{F}(V15,V14,V4,V12) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #626: mergings( V2 == V10, V10 == V19, V3 == V11, V4 == V12, V11 == V20, V12 == V25, V5 == V13, V6 == V14, V13 == V21, V7 == V16, V16 == V24, V8 == V17, V9 == V18, V17 == V26, V18 == V28, V0 == V27; #609 ), references = 1, size of lhs = 18:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G_H-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_tc_set-{F}(V5,V3), P_tc_set-{F}(V6,V3), P_v_H-{F}(V7), P_c_Message_Oanalz-{F}(V1,V8), c_lessequals-{F}(V0,V8,V3), P_v_H_H-{F}(V9), P_c_union-{F}(V1,V9,V2,V10), P_c_Message_Oanalz-{F}(V9,V11), P_c_Message_Oanalz-{F}(V12,V7), P_c_Message_Oanalz-{F}(V13,V12), P_c_Message_Oanalz-{F}(V14,V8), P_c_Message_Oanalz-{F}(V15,V14), P_c_union-{F}(V13,V16,V4,V15) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #689: mergings( V2 == V10, V10 == V18, V18 == V28, V28 == V35, V35 == V43, V43 == V51, V3 == V11, V4 == V12, V11 == V19, V12 == V20, V19 == V29, V20 == V30, V29 == V36, V30 == V37, V36 == V44, V37 == V45, V44 == V52, V45 == V53, V5 == V13, V6 == V14, V13 == V21, V14 == V22, V21 == V31, V31 == V38, V22 == V39, V38 == V46, V39 == V47, V46 == V54, V7 == V15, V15 == V25, V25 == V32, V32 == V40, V40 == V48, V48 == V57, V8 == V16, V9 == V17, V16 == V26, V17 == V27, V26 == V33, V27 == V34, V33 == V41, V34 == V42, V41 == V49, V42 == V50, V49 == V58, V50 == V59; #642 ), references = 1, size of lhs = 19:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G_H-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_tc_Message_Omsg-{F}(V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4), P_tc_set-{F}(V6,V4), P_tc_set-{F}(V7,V4), P_tc_set-{F}(V8,V4), P_v_H-{F}(V9), P_v_H_H-{F}(V10), P_c_union-{F}(V1,V10,V3,V11), P_c_Message_Oanalz-{F}(V10,V12), c_lessequals-{F}(V0,V13,V4), P_c_Message_Oanalz-{F}(V14,V13), P_c_union-{F}(V14,V15,V5,V11), c_lessequals-{F}(V9,V16,V4), P_c_Message_Oanalz-{F}(V17,V16), P_c_union-{F}(V18,V17,V6,V11) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #721: mergings( V4 == V9, V9 == V14, V14 == V19, V19 == V23, V23 == V28, V28 == V33, V5 == V10, V10 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V34, V34 == V39, V8 == V13, V13 == V18, V18 == V22, V22 == V27, V27 == V32, V32 == V38, V38 == V40, V6 == V11, V11 == V25, V25 == V30, V30 == V16, V7 == V12, V12 == V17, V17 == V21, V21 == V26, V26 == V31, V31 == V37; #690 ), references = 1, size of lhs = 12:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G_H-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_tc_set-{F}(V5,V3), P_v_H-{F}(V6), P_v_H_H-{F}(V7), P_c_Message_Oanalz-{F}(V1,V8), c_lessequals-{F}(V0,V8,V3), P_c_Message_Oanalz-{F}(V7,V9), c_lessequals-{F}(V6,V9,V3) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #756: mergings( V4 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V3 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V8 == V32, V32 == V33, V33 == V34, V34 == V35, V35 == V36, V36 == V37, V37 == V38, V2 == V5, V29 == V6, V5 == V22, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V30, V7 == V31; #724 ), references = 1, size of lhs = 7:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G_H-{F}(V1), P_c_Message_Oanalz-{F}(V1,V2), P_tc_Message_Omsg-{F}(V3), P_v_H-{F}(V4), P_v_H_H-{F}(V5), P_c_Message_Oanalz-{F}(V5,V6) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #779: mergings( V2 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V4 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V3 == V20; #757 ), references = 1, size of lhs = 6:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G_H-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_v_H-{F}(V3), P_v_H_H-{F}(V4), P_c_Message_Oanalz-{F}(V4,V5) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #794: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V18; #780 ), references = 1, size of lhs = 5:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G_H-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_v_H-{F}(V3), P_v_H_H-{F}(V4) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #809: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V17; #795 ), references = 1, size of lhs = 4:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G_H-{F}(V1), P_tc_Message_Omsg-{F}(V2), P_v_H-{F}(V3) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #818: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #810 ), references = 1, size of lhs = 3:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G_H-{F}(V1), P_tc_Message_Omsg-{F}(V2) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #827: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #819 ), references = 1, size of lhs = 2:
% 0.73/0.90 P_v_G-{F}(V0), P_v_G_H-{F}(V1) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #836: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #828 ), references = 1, size of lhs = 1:
% 0.73/0.90 P_v_G-{F}(V0) | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 #838: exists( #7, #828 ), references = 1, size of lhs = 0:
% 0.73/0.90 FALSE | FALSE
% 0.73/0.90 (used 0 times, uses = {})
% 0.73/0.90
% 0.73/0.90 number of learnt formulas = 36
% 0.73/0.90
% 0.73/0.90
% 0.73/0.90 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.73/0.90
% 0.73/0.90 randbase = 1
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