TSTP Solution File: SWV272-2 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SWV272-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n008.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 06:21:19 EDT 2022
% Result : Unsatisfiable 0.76s 0.92s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV272-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 16:02:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.76/0.92 GeoParameters:
% 0.76/0.92
% 0.76/0.92 tptp_input = 1
% 0.76/0.92 tptp_output = 0
% 0.76/0.92 nonempty = 1
% 0.76/0.92 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.76/0.92 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.76/0.92
% 0.76/0.92
% 0.76/0.92 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.76/0.92 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.76/0.92
% 0.76/0.92 RuleSystem INPUT:
% 0.76/0.92
% 0.76/0.92 Initial Rules:
% 0.76/0.92 #0: input, references = 9, size of lhs = 8:
% 0.76/0.92 P_v_K-{F}(V0), P_v_X-{F}(V1), P_c_Message_Omsg_OCrypt-{F}(V0,V1,V2), P_v_H-{F}(V3), P_c_Message_Oparts-{F}(V3,V4), P_c_Message_Osynth-{F}(V3,V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V4,V5,V6,V7) | c_in-{T}(V2,V7,V6)
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #1: input, references = 13, size of lhs = 9:
% 0.76/0.92 P_v_K-{F}(V0), P_v_X-{F}(V1), P_c_Message_Omsg_OCrypt-{F}(V0,V1,V2), P_v_H-{F}(V3), P_c_Message_Oparts-{F}(V3,V4), P_c_Message_Osynth-{F}(V3,V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V4,V5,V6,V7), c_in-{F}(V1,V7,V6) | FALSE
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #2: input, references = 4, size of lhs = 11:
% 0.76/0.92 P_v_K-{F}(V0), P_v_X-{F}(V1), P_c_Message_Omsg_OCrypt-{F}(V0,V1,V2), P_v_H-{F}(V3), P_c_Message_Oparts-{F}(V3,V4), P_c_Message_Osynth-{F}(V3,V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V4,V5,V6,V7), P_c_Message_Osynth-{F}(V9,V10), P_c_Message_Omsg_OCrypt-{F}(V11,V8,V12), c_in-{F}(V12,V10,V6) | c_in-{T}(V8,V10,V6), c_in-{T}(V12,V9,V6)
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #3: input, references = 11, size of lhs = 11:
% 0.76/0.92 P_v_K-{F}(V0), P_v_X-{F}(V1), P_c_Message_Omsg_OCrypt-{F}(V0,V1,V2), P_v_H-{F}(V3), P_c_Message_Oparts-{F}(V3,V4), P_c_Message_Osynth-{F}(V3,V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V4,V5,V6,V7), P_c_Message_Oparts-{F}(V9,V10), P_c_Message_Omsg_OCrypt-{F}(V11,V8,V12), c_in-{F}(V12,V10,V6) | c_in-{T}(V8,V10,V6)
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #4: input, references = 9, size of lhs = 10:
% 0.76/0.92 P_v_K-{F}(V0), P_v_X-{F}(V1), P_c_Message_Omsg_OCrypt-{F}(V0,V1,V2), P_v_H-{F}(V3), P_c_Message_Oparts-{F}(V3,V4), P_c_Message_Osynth-{F}(V3,V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V4,V5,V6,V7), P_c_Message_Oparts-{F}(V9,V10), c_in-{F}(V8,V9,V6) | c_in-{T}(V8,V10,V6)
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #5: input, references = 6, size of lhs = 10:
% 0.76/0.92 P_v_K-{F}(V0), P_v_X-{F}(V1), P_c_Message_Omsg_OCrypt-{F}(V0,V1,V2), P_v_H-{F}(V3), P_c_Message_Oparts-{F}(V3,V4), P_c_Message_Osynth-{F}(V3,V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V4,V5,V6,V7), P_c_union-{F}(V11,V9,V10,V12), c_in-{F}(V8,V12,V10) | c_in-{T}(V8,V9,V10), c_in-{T}(V8,V11,V10)
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #6: input, references = 10, size of lhs = 10:
% 0.76/0.92 P_v_K-{F}(V0), P_v_X-{F}(V1), P_c_Message_Omsg_OCrypt-{F}(V0,V1,V2), P_v_H-{F}(V3), P_c_Message_Oparts-{F}(V3,V4), P_c_Message_Osynth-{F}(V3,V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V4,V5,V6,V7), c_in-{F}(V8,V9,V10), P_c_union-{F}(V9,V11,V10,V12) | c_in-{T}(V8,V12,V10)
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #7: input, references = 6, size of lhs = 10:
% 0.76/0.92 P_v_K-{F}(V0), P_v_X-{F}(V1), P_c_Message_Omsg_OCrypt-{F}(V0,V1,V2), P_v_H-{F}(V3), P_c_Message_Oparts-{F}(V3,V4), P_c_Message_Osynth-{F}(V3,V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V4,V5,V6,V7), c_in-{F}(V8,V9,V10), P_c_union-{F}(V11,V9,V10,V12) | c_in-{T}(V8,V12,V10)
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #8: input, references = 6, size of lhs = 2:
% 0.76/0.92 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Message_Omsg_OCrypt-{T}(V0,V1,V2)
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #9: input, references = 4, size of lhs = 0:
% 0.76/0.92 FALSE | EXISTS V0: P_v_K-{T}(V0)
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #10: input, references = 4, size of lhs = 0:
% 0.76/0.92 FALSE | EXISTS V0: P_v_X-{T}(V0)
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #11: input, references = 9, size of lhs = 3:
% 0.76/0.92 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_union-{T}(V0,V1,V2,V3)
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #12: input, references = 4, size of lhs = 1:
% 0.76/0.92 #-{F} V0 | EXISTS V1: P_c_Message_Oparts-{T}(V0,V1)
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #13: input, references = 4, size of lhs = 0:
% 0.76/0.92 FALSE | EXISTS V0: P_v_H-{T}(V0)
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #14: input, references = 4, size of lhs = 1:
% 0.76/0.92 #-{F} V0 | EXISTS V1: P_c_Message_Osynth-{T}(V0,V1)
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #15: input, references = 4, size of lhs = 0:
% 0.76/0.92 FALSE | EXISTS V0: P_tc_Message_Omsg-{T}(V0)
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 number of initial rules = 16
% 0.76/0.92
% 0.76/0.92 Simplifiers:
% 0.76/0.92 #16: unsound, references = 3, size of lhs = 3:
% 0.76/0.92 c_in-{F}(V0,V1,V2), c_in-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #17: unsound, references = 3, size of lhs = 3:
% 0.76/0.92 P_c_Message_Omsg_OCrypt-{F}(V0,V1,V2), P_c_Message_Omsg_OCrypt-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #18: unsound, references = 3, size of lhs = 3:
% 0.76/0.92 P_v_K-{F}(V0), P_v_K-{F}(V1), V0 == V1 | FALSE
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #19: unsound, references = 3, size of lhs = 3:
% 0.76/0.92 P_v_X-{F}(V0), P_v_X-{F}(V1), V0 == V1 | FALSE
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #20: unsound, references = 3, size of lhs = 3:
% 0.76/0.92 P_c_union-{F}(V0,V1,V2,V3), P_c_union-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #21: unsound, references = 3, size of lhs = 3:
% 0.76/0.92 P_c_Message_Oparts-{F}(V0,V1), P_c_Message_Oparts-{F}(V0,V3), V1 == V3 | FALSE
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #22: unsound, references = 3, size of lhs = 3:
% 0.76/0.92 P_v_H-{F}(V0), P_v_H-{F}(V1), V0 == V1 | FALSE
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #23: unsound, references = 3, size of lhs = 3:
% 0.76/0.92 P_c_Message_Osynth-{F}(V0,V1), P_c_Message_Osynth-{F}(V0,V3), V1 == V3 | FALSE
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #24: unsound, references = 3, size of lhs = 3:
% 0.76/0.92 P_tc_Message_Omsg-{F}(V0), P_tc_Message_Omsg-{F}(V1), V0 == V1 | FALSE
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 number of simplifiers = 9
% 0.76/0.92
% 0.76/0.92 Learnt:
% 0.76/0.92 #31: mergings( V4 == V8, V5 == V6, V6 == V9, V7 == V10; #26 ), references = 1, size of lhs = 7:
% 0.76/0.92 P_v_X-{F}(V0), P_v_K-{F}(V1), P_c_Message_Omsg_OCrypt-{F}(V1,V0,V0), P_v_H-{F}(V2), P_c_Message_Oparts-{F}(V2,V3), P_c_Message_Osynth-{F}(V2,V4), P_tc_Message_Omsg-{F}(V5) | FALSE
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #74: mergings( V0 == V13, V13 == V19, V19 == V25, V25 == V33, V1 == V14, V2 == V15, V14 == V20, V15 == V21, V20 == V26, V21 == V27, V26 == V34, V27 == V35, V3 == V16, V4 == V17, V16 == V22, V17 == V23, V22 == V28, V23 == V29, V28 == V36, V29 == V37, V5 == V18, V18 == V24, V39 == V40, V24 == V30, V30 == V38, V40 == V41, V6 == V31, V7 == V32, V31 == V10, V32 == V41; #43 ), references = 2, size of lhs = 14:
% 0.76/0.92 P_v_K-{F}(V0), P_v_X-{F}(V1), P_c_Message_Omsg_OCrypt-{F}(V0,V1,V2), P_v_H-{F}(V3), P_c_Message_Oparts-{F}(V3,V4), P_c_Message_Osynth-{F}(V3,V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V4,V5,V6,V7), P_c_Message_Oparts-{F}(V8,V9), P_c_Message_Oparts-{F}(V10,V9), P_c_union-{F}(V9,V11,V6,V7), P_c_union-{F}(V12,V8,V6,V13), c_in-{F}(V14,V13,V6), P_c_Message_Omsg_OCrypt-{F}(V15,V1,V14) | c_in-{T}(V14,V12,V6)
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #112: mergings( V4 == V8, V8 == V12, V12 == V16, V16 == V20, V20 == V24, V24 == V28, V28 == V32, V32 == V36, V5 == V9, V6 == V10, V9 == V13, V10 == V14, V13 == V17, V14 == V18, V17 == V21, V18 == V22, V21 == V25, V22 == V26, V25 == V29, V26 == V30, V29 == V33, V30 == V34, V33 == V37, V34 == V38, V7 == V11, V11 == V15, V15 == V19, V19 == V23, V23 == V27, V27 == V31, V31 == V35, V35 == V39; #79 ), references = 1, size of lhs = 12:
% 0.76/0.92 P_v_K-{F}(V0), P_v_X-{F}(V1), P_c_Message_Omsg_OCrypt-{F}(V0,V1,V2), P_v_H-{F}(V3), P_c_Message_Oparts-{F}(V3,V4), P_c_Message_Osynth-{F}(V3,V5), P_c_Message_Oparts-{F}(V5,V4), P_tc_Message_Omsg-{F}(V6), P_c_Message_Omsg_OCrypt-{F}(V7,V1,V2), P_c_Message_Omsg_OCrypt-{F}(V8,V1,V2), P_c_Message_Oparts-{F}(V9,V4), P_c_Message_Oparts-{F}(V10,V4) | FALSE
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #122: mergings( V3 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13; #113 ), references = 1, size of lhs = 9:
% 0.76/0.92 P_v_K-{F}(V0), P_v_X-{F}(V1), P_v_H-{F}(V2), P_c_Message_Oparts-{F}(V2,V3), P_c_Message_Osynth-{F}(V2,V4), P_c_Message_Oparts-{F}(V4,V3), P_tc_Message_Omsg-{F}(V5), P_c_Message_Oparts-{F}(V6,V3), P_c_Message_Oparts-{F}(V7,V3) | FALSE
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #163: mergings( V0 == V13, V13 == V19, V19 == V27, V1 == V14, V2 == V15, V14 == V20, V15 == V21, V20 == V28, V21 == V29, V3 == V16, V4 == V17, V16 == V22, V17 == V23, V22 == V30, V23 == V31, V5 == V18, V18 == V24, V24 == V32, V33 == V34, V6 == V25, V7 == V26, V25 == V10, V26 == V34; #139 ), references = 1, size of lhs = 13:
% 0.76/0.92 P_v_K-{F}(V0), P_v_X-{F}(V1), P_c_Message_Omsg_OCrypt-{F}(V0,V1,V2), P_v_H-{F}(V3), P_c_Message_Oparts-{F}(V3,V4), P_c_Message_Osynth-{F}(V3,V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V4,V5,V6,V7), P_c_Message_Oparts-{F}(V8,V9), P_c_union-{F}(V10,V9,V6,V7), P_c_union-{F}(V11,V9,V6,V12), c_in-{F}(V13,V12,V6), P_c_Message_Omsg_OCrypt-{F}(V14,V1,V13) | c_in-{T}(V13,V11,V6)
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #197: mergings( V4 == V8, V8 == V12, V12 == V16, V16 == V20, V20 == V24, V24 == V28, V28 == V32, V5 == V9, V6 == V10, V9 == V13, V10 == V14, V13 == V17, V14 == V18, V17 == V21, V18 == V22, V21 == V25, V22 == V26, V25 == V29, V26 == V30, V29 == V33, V30 == V34, V7 == V11, V11 == V15, V15 == V19, V19 == V23, V23 == V27, V27 == V31, V31 == V35; #168 ), references = 1, size of lhs = 11:
% 0.76/0.92 P_v_K-{F}(V0), P_v_X-{F}(V1), P_c_Message_Omsg_OCrypt-{F}(V0,V1,V2), P_v_H-{F}(V3), P_c_Message_Oparts-{F}(V3,V4), P_c_Message_Osynth-{F}(V3,V5), P_tc_Message_Omsg-{F}(V6), P_c_Message_Omsg_OCrypt-{F}(V7,V1,V2), P_c_Message_Omsg_OCrypt-{F}(V8,V1,V2), P_c_Message_Oparts-{F}(V9,V5), P_c_Message_Oparts-{F}(V10,V4) | FALSE
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #206: mergings( V3 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12; #198 ), references = 1, size of lhs = 8:
% 0.76/0.92 P_v_K-{F}(V0), P_v_X-{F}(V1), P_v_H-{F}(V2), P_c_Message_Oparts-{F}(V2,V3), P_c_Message_Osynth-{F}(V2,V4), P_tc_Message_Omsg-{F}(V5), P_c_Message_Oparts-{F}(V6,V4), P_c_Message_Oparts-{F}(V7,V3) | FALSE
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #243: mergings( V0 == V13, V13 == V19, V19 == V27, V1 == V14, V2 == V15, V14 == V20, V15 == V21, V20 == V28, V21 == V29, V3 == V16, V4 == V17, V16 == V22, V17 == V23, V22 == V30, V23 == V31, V5 == V18, V18 == V24, V24 == V32, V33 == V34, V6 == V25, V7 == V26, V25 == V10, V26 == V34; #219 ), references = 3, size of lhs = 13:
% 0.76/0.92 P_v_K-{F}(V0), P_v_X-{F}(V1), P_c_Message_Omsg_OCrypt-{F}(V0,V1,V2), P_v_H-{F}(V3), P_c_Message_Oparts-{F}(V3,V4), P_c_Message_Osynth-{F}(V3,V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V4,V5,V6,V7), P_c_Message_Oparts-{F}(V8,V9), P_c_union-{F}(V9,V10,V6,V7), P_c_union-{F}(V9,V11,V6,V12), c_in-{F}(V13,V12,V6), P_c_Message_Omsg_OCrypt-{F}(V14,V1,V13) | c_in-{T}(V13,V11,V6)
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #292: mergings( V4 == V8, V8 == V12, V12 == V16, V16 == V20, V20 == V24, V24 == V28, V28 == V32, V32 == V36, V36 == V40, V40 == V44, V5 == V9, V6 == V10, V9 == V13, V10 == V14, V13 == V17, V14 == V18, V17 == V21, V18 == V22, V21 == V25, V22 == V26, V25 == V29, V26 == V30, V29 == V33, V30 == V34, V33 == V37, V34 == V38, V37 == V41, V38 == V42, V41 == V45, V42 == V46, V7 == V11, V11 == V15, V15 == V19, V19 == V23, V23 == V27, V27 == V31, V31 == V35, V35 == V39, V39 == V43, V43 == V47; #251 ), references = 1, size of lhs = 14:
% 0.76/0.92 P_v_K-{F}(V0), P_v_X-{F}(V1), P_c_Message_Omsg_OCrypt-{F}(V0,V1,V2), P_v_H-{F}(V3), P_c_Message_Oparts-{F}(V3,V4), P_c_Message_Osynth-{F}(V3,V5), P_tc_Message_Omsg-{F}(V6), P_c_Message_Omsg_OCrypt-{F}(V7,V1,V2), P_c_Message_Omsg_OCrypt-{F}(V8,V1,V2), P_c_Message_Oparts-{F}(V9,V4), P_c_Message_Oparts-{F}(V5,V10), P_c_Message_Oparts-{F}(V11,V10), P_c_Message_Oparts-{F}(V10,V12), P_c_Message_Oparts-{F}(V12,V4) | FALSE
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #341: mergings( V4 == V8, V8 == V12, V12 == V16, V16 == V20, V20 == V24, V24 == V28, V28 == V32, V5 == V9, V6 == V10, V9 == V13, V10 == V14, V13 == V17, V14 == V18, V17 == V21, V18 == V22, V21 == V25, V22 == V26, V25 == V29, V26 == V30, V29 == V33, V30 == V34, V7 == V11, V11 == V15, V15 == V19, V19 == V23, V23 == V27, V27 == V31, V31 == V35; #312 ), references = 1, size of lhs = 17:
% 0.76/0.92 P_v_K-{F}(V0), P_v_X-{F}(V1), P_c_Message_Omsg_OCrypt-{F}(V0,V1,V2), P_v_H-{F}(V3), P_c_Message_Oparts-{F}(V3,V4), P_c_Message_Osynth-{F}(V3,V5), P_tc_Message_Omsg-{F}(V6), P_c_Message_Omsg_OCrypt-{F}(V7,V1,V2), P_c_Message_Omsg_OCrypt-{F}(V8,V1,V2), P_c_Message_Omsg_OCrypt-{F}(V9,V1,V2), P_c_Message_Oparts-{F}(V10,V4), P_c_Message_Oparts-{F}(V5,V11), P_c_Message_Oparts-{F}(V12,V4), P_c_Message_Oparts-{F}(V13,V4), P_c_union-{F}(V14,V12,V6,V11), P_c_Message_Oparts-{F}(V15,V4), P_c_union-{F}(V16,V14,V6,V4) | FALSE
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #365: mergings( V0 == V13, V13 == V21, V1 == V14, V2 == V15, V14 == V11, V15 == V22, V3 == V16, V4 == V17, V16 == V23, V17 == V24, V5 == V18, V18 == V25, V7 == V26, V19 == V6, V20 == V26; #349 ), references = 1, size of lhs = 12:
% 0.76/0.92 P_v_K-{F}(V0), P_v_X-{F}(V1), P_c_Message_Omsg_OCrypt-{F}(V0,V1,V2), P_v_H-{F}(V3), P_c_Message_Oparts-{F}(V3,V4), P_c_Message_Osynth-{F}(V3,V5), P_tc_Message_Omsg-{F}(V6), P_c_union-{F}(V4,V5,V6,V7), P_c_Message_Osynth-{F}(V8,V9), P_c_union-{F}(V10,V9,V6,V7), c_in-{F}(V11,V9,V6), P_c_Message_Omsg_OCrypt-{F}(V12,V1,V11) | c_in-{T}(V11,V8,V6)
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #405: mergings( V4 == V8, V8 == V12, V12 == V16, V16 == V20, V20 == V24, V24 == V28, V28 == V32, V32 == V36, V5 == V9, V6 == V10, V9 == V13, V10 == V14, V13 == V17, V14 == V18, V17 == V21, V18 == V22, V21 == V25, V22 == V26, V25 == V29, V26 == V30, V29 == V33, V30 == V34, V33 == V37, V34 == V38, V7 == V11, V11 == V15, V15 == V19, V19 == V23, V23 == V27, V27 == V31, V31 == V35, V35 == V39; #372 ), references = 1, size of lhs = 14:
% 0.76/0.92 P_v_K-{F}(V0), P_v_X-{F}(V1), P_c_Message_Omsg_OCrypt-{F}(V0,V1,V2), P_v_H-{F}(V3), P_c_Message_Oparts-{F}(V3,V4), P_c_Message_Osynth-{F}(V3,V5), P_tc_Message_Omsg-{F}(V6), P_c_Message_Omsg_OCrypt-{F}(V7,V1,V2), P_c_Message_Omsg_OCrypt-{F}(V8,V1,V2), P_c_Message_Omsg_OCrypt-{F}(V9,V1,V2), P_c_Message_Oparts-{F}(V10,V4), P_c_Message_Osynth-{F}(V11,V5), P_c_Message_Oparts-{F}(V11,V4), P_c_Message_Oparts-{F}(V12,V4) | FALSE
% 0.76/0.92 (used 0 times, uses = {})
% 0.76/0.92
% 0.76/0.92 #415: mergings( V3 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13; #406 ), references = 1, size of lhs = 10:
% 0.76/0.92 P_v_K-{F}(V0), P_v_X-{F}(V1), P_v_H-{F}(V2), P_c_Message_Oparts-{F}(V2,V3), P_c_Message_Osynth-{F}(V2,V4), P_tc_Message_Omsg-{F}(V5), P_c_Message_Oparts-{F}(V6,V3), P_c_Message_Osynth-{F}(V7,V4), P_c_Message_Oparts-{F}(V7,V3), P_c_Message_Oparts-{F}(V8,V3) | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #417: exists( #14, #406 ), references = 1, size of lhs = 7:
% 0.76/0.93 P_v_K-{F}(V0), P_v_X-{F}(V1), P_v_H-{F}(V2), P_tc_Message_Omsg-{F}(V3), P_c_Message_Oparts-{F}(V2,V4), P_c_Message_Oparts-{F}(V5,V4), P_c_Message_Oparts-{F}(V6,V4) | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #419: exists( #12, #416 ), references = 1, size of lhs = 4:
% 0.76/0.93 P_v_K-{F}(V0), P_v_X-{F}(V1), P_v_H-{F}(V2), P_tc_Message_Omsg-{F}(V3) | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #421: exists( #15, #418 ), references = 1, size of lhs = 3:
% 0.76/0.93 P_v_K-{F}(V0), P_v_X-{F}(V1), P_v_H-{F}(V2) | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #423: exists( #13, #420 ), references = 1, size of lhs = 2:
% 0.76/0.93 P_v_K-{F}(V0), P_v_X-{F}(V1) | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #425: exists( #10, #422 ), references = 1, size of lhs = 1:
% 0.76/0.93 P_v_K-{F}(V0) | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 #427: exists( #9, #424 ), references = 1, size of lhs = 0:
% 0.76/0.93 FALSE | FALSE
% 0.76/0.93 (used 0 times, uses = {})
% 0.76/0.93
% 0.76/0.93 number of learnt formulas = 19
% 0.76/0.93
% 0.76/0.93
% 0.76/0.93 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.76/0.93
% 0.76/0.93 randbase = 1
%------------------------------------------------------------------------------