TSTP Solution File: GRP130-3.003 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP130-3.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n021.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 06:03:19 EDT 2022
% Result : Unsatisfiable 1.82s 2.03s
% Output : Refutation 1.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP130-3.003 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n021.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 13:56:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.82/2.03 GeoParameters:
% 1.82/2.03
% 1.82/2.03 tptp_input = 1
% 1.82/2.03 tptp_output = 0
% 1.82/2.03 nonempty = 1
% 1.82/2.03 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.82/2.03 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.82/2.03
% 1.82/2.03
% 1.82/2.03 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.82/2.03 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.82/2.03
% 1.82/2.03 RuleSystem INPUT:
% 1.82/2.03
% 1.82/2.03 Initial Rules:
% 1.82/2.03 #0: input, references = 3, size of lhs = 2:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1) | next-{T}(V0,V1)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #1: input, references = 4, size of lhs = 3:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2) | next-{T}(V1,V2)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #2: input, references = 6, size of lhs = 4:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | next-{T}(V2,V3)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #3: input, references = 6, size of lhs = 4:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | greater-{T}(V1,V0)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #4: input, references = 6, size of lhs = 4:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | greater-{T}(V2,V0)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #5: input, references = 3, size of lhs = 4:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | greater-{T}(V3,V0)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #6: input, references = 6, size of lhs = 4:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | greater-{T}(V2,V1)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #7: input, references = 6, size of lhs = 4:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | greater-{T}(V3,V1)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #8: input, references = 3, size of lhs = 4:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | greater-{T}(V3,V2)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #9: input, references = 7, size of lhs = 6:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), cycle-{F}(V6,V4), cycle-{F}(V6,V5) | equalish-{T}(V4,V5)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #10: input, references = 11, size of lhs = 5:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), group_element-{F}(V4) | cycle-{T}(V4,V0), cycle-{T}(V4,V1), cycle-{T}(V4,V2)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #11: input, references = 6, size of lhs = 4:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | cycle-{T}(V3,V0)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #12: input, references = 6, size of lhs = 9:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), greater-{F}(V4,V0), cycle-{F}(V7,V4), next-{F}(V7,V6), cycle-{F}(V6,V8), next-{F}(V8,V5) | equalish-{T}(V4,V5)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #13: input, references = 6, size of lhs = 10:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), cycle-{F}(V4,V0), cycle-{F}(V6,V5), next-{F}(V4,V6), greater-{F}(V7,V5), cycle-{F}(V8,V7), greater-{F}(V4,V8) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #14: input, references = 7, size of lhs = 7:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), cycle-{F}(V4,V0), product-{F}(V4,V1,V5), greater-{F}(V5,V4) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #15: input, references = 9, size of lhs = 8:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), cycle-{F}(V4,V5), greater-{F}(V5,V0), next-{F}(V4,V6), product-{F}(V4,V1,V7) | equalish-{T}(V7,V6)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #16: input, references = 7, size of lhs = 4:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | group_element-{T}(V1)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #17: input, references = 5, size of lhs = 4:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | group_element-{T}(V2)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #18: input, references = 4, size of lhs = 4:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | group_element-{T}(V3)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #19: input, references = 11, size of lhs = 5:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), equalish-{F}(V1,V2) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #20: input, references = 5, size of lhs = 5:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), equalish-{F}(V1,V3) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #21: input, references = 7, size of lhs = 5:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), equalish-{F}(V2,V1) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #22: input, references = 8, size of lhs = 5:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), equalish-{F}(V2,V3) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #23: input, references = 4, size of lhs = 5:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), equalish-{F}(V3,V1) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #24: input, references = 6, size of lhs = 5:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), equalish-{F}(V3,V2) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #25: input, references = 12, size of lhs = 6:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), group_element-{F}(V4), group_element-{F}(V5) | product-{T}(V5,V4,V1), product-{T}(V5,V4,V2), product-{T}(V5,V4,V3)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #26: input, references = 4, size of lhs = 6:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), product-{F}(V7,V6,V5), product-{F}(V7,V6,V4) | equalish-{T}(V5,V4)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #27: input, references = 5, size of lhs = 6:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), product-{F}(V7,V5,V6), product-{F}(V7,V4,V6) | equalish-{T}(V5,V4)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #28: input, references = 10, size of lhs = 6:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), product-{F}(V5,V6,V7), product-{F}(V4,V6,V7) | equalish-{T}(V5,V4)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #29: input, references = 10, size of lhs = 6:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), product-{F}(V4,V5,V6), product-{F}(V4,V7,V5) | product-{T}(V6,V7,V4)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #30: input, references = 4, size of lhs = 0:
% 1.82/2.03 FALSE | EXISTS V0: P_e_0-{T}(V0)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #31: input, references = 4, size of lhs = 0:
% 1.82/2.03 FALSE | EXISTS V0: P_e_1-{T}(V0)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #32: input, references = 5, size of lhs = 0:
% 1.82/2.03 FALSE | EXISTS V0: P_e_2-{T}(V0)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #33: input, references = 8, size of lhs = 0:
% 1.82/2.03 FALSE | EXISTS V0: P_e_3-{T}(V0)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 number of initial rules = 34
% 1.82/2.03
% 1.82/2.03 Simplifiers:
% 1.82/2.03 #34: unsound, references = 3, size of lhs = 3:
% 1.82/2.03 P_e_0-{F}(V0), P_e_0-{F}(V1), V0 == V1 | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #35: unsound, references = 3, size of lhs = 3:
% 1.82/2.03 P_e_1-{F}(V0), P_e_1-{F}(V1), V0 == V1 | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #36: unsound, references = 3, size of lhs = 3:
% 1.82/2.03 P_e_2-{F}(V0), P_e_2-{F}(V1), V0 == V1 | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #37: unsound, references = 3, size of lhs = 3:
% 1.82/2.03 P_e_3-{F}(V0), P_e_3-{F}(V1), V0 == V1 | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 number of simplifiers = 4
% 1.82/2.03
% 1.82/2.03 Learnt:
% 1.82/2.03 #50: mergings( V1 == V4, V4 == V7, V7 == V2, V2 == V5, V5 == V3, V3 == V6; #42 ), references = 1, size of lhs = 3:
% 1.82/2.03 P_e_1-{F}(V0), P_e_2-{F}(V0), P_e_0-{F}(V0) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #62: mergings( V1 == V0, V0 == V5, V5 == V8, V2 == V6, V6 == V9, V3 == V7, V7 == V10; #54 ), references = 1, size of lhs = 8:
% 1.82/2.03 group_element-{F}(V0), next-{F}(V0,V0), greater-{F}(V0,V0), P_e_0-{F}(V1), greater-{F}(V1,V1), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | cycle-{T}(V0,V2)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #85: mergings( V1 == V5, V5 == V7, V7 == V12, V12 == V15, V2 == V4, V4 == V15, V15 == V8, V8 == V10, V10 == V13, V13 == V16, V3 == V6, V6 == V9, V9 == V11, V11 == V14, V14 == V17; #69 ), references = 1, size of lhs = 4:
% 1.82/2.03 P_e_0-{F}(V0), next-{F}(V0,V0), P_e_1-{F}(V0), P_e_2-{F}(V1) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #97: mergings( V1 == V4, V4 == V5, V5 == V8, V8 == V10, V2 == V3, V3 == V10, V10 == V6, V6 == V7, V7 == V9, V9 == V11; #86 ), references = 1, size of lhs = 3:
% 1.82/2.03 P_e_0-{F}(V0), next-{F}(V0,V0), P_e_1-{F}(V0) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #108: mergings( V0 == V5, V5 == V12, V1 == V6, V6 == V13, V2 == V7, V7 == V14, V3 == V8, V8 == V15; #99 ), references = 1, size of lhs = 15:
% 1.82/2.03 group_element-{F}(V0), next-{F}(V1,V0), cycle-{F}(V1,V2), P_e_0-{F}(V2), greater-{F}(V1,V3), cycle-{F}(V3,V4), greater-{F}(V4,V2), P_e_1-{F}(V5), P_e_2-{F}(V6), P_e_3-{F}(V7), cycle-{F}(V8,V2), next-{F}(V8,V0), greater-{F}(V8,V9), cycle-{F}(V9,V10), greater-{F}(V10,V5) | cycle-{T}(V0,V6)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #122: mergings( V0 == V6, V6 == V9, V1 == V4, V2 == V7, V7 == V10, V3 == V8, V8 == V11; #114 ), references = 1, size of lhs = 9:
% 1.82/2.03 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), greater-{F}(V0,V1), P_e_0-{F}(V2), cycle-{F}(V1,V2), P_e_2-{F}(V3), greater-{F}(V3,V1), P_e_3-{F}(V4) | product-{T}(V1,V0,V4)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #146: mergings( V5 == V0, V0 == V16, V16 == V20, V6 == V9, V9 == V17, V17 == V1, V2 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V18, V18 == V1, V3 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V19, V19 == V21; #126 ), references = 1, size of lhs = 8:
% 1.82/2.03 group_element-{F}(V0), P_e_1-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), greater-{F}(V0,V1), P_e_0-{F}(V2), P_e_3-{F}(V3), greater-{F}(V3,V1) | cycle-{T}(V1,V0)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #165: mergings( V5 == V0, V0 == V16, V16 == V20, V6 == V9, V9 == V17, V17 == V1, V2 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V18, V18 == V1, V3 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V19, V19 == V21; #127 ), references = 1, size of lhs = 8:
% 1.82/2.03 group_element-{F}(V0), P_e_1-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), greater-{F}(V0,V1), P_e_0-{F}(V2), P_e_3-{F}(V3), greater-{F}(V3,V1) | cycle-{T}(V1,V0)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #198: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V21, V7 == V8, V8 == V14, V14 == V17, V17 == V19, V19 == V22, V3 == V5, V5 == V9, V9 == V10, V10 == V12, V12 == V15, V15 == V20, V20 == V22; #176 ), references = 1, size of lhs = 3:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V1) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #207: mergings( V0 == V6, V6 == V9, V1 == V4, V2 == V7, V7 == V10, V3 == V8, V8 == V11; #199 ), references = 1, size of lhs = 9:
% 1.82/2.03 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_0-{F}(V2), cycle-{F}(V1,V2), P_e_2-{F}(V3), greater-{F}(V3,V1), P_e_3-{F}(V4), greater-{F}(V4,V1) | product-{T}(V1,V0,V0)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #242: mergings( V2 == V5, V5 == V0, V0 == V13, V13 == V16, V16 == V20, V20 == V28, V28 == V31, V1 == V8, V8 == V17, V17 == V23, V23 == V32, V31 == V6, V6 == V9, V9 == V11, V11 == V14, V14 == V18, V18 == V21, V21 == V24, V24 == V26, V26 == V29, V29 == V33, V3 == V7, V7 == V10, V10 == V12, V12 == V15, V15 == V19, V19 == V22, V22 == V25, V25 == V27, V27 == V30, V30 == V34; #210 ), references = 1, size of lhs = 10:
% 1.82/2.03 group_element-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), P_e_0-{F}(V2), greater-{F}(V2,V0), greater-{F}(V2,V2), next-{F}(V0,V2), P_e_2-{F}(V2), P_e_3-{F}(V3), greater-{F}(V3,V0) | cycle-{T}(V0,V1)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #255: mergings( V0 == V12, V12 == V16, V5 == V13, V13 == V1, V2 == V6, V6 == V14, V14 == V19, V3 == V7, V7 == V15, V15 == V20; #244 ), references = 1, size of lhs = 14:
% 1.82/2.03 group_element-{F}(V0), next-{F}(V0,V1), cycle-{F}(V1,V2), greater-{F}(V0,V3), cycle-{F}(V3,V4), greater-{F}(V4,V2), P_e_0-{F}(V5), P_e_1-{F}(V6), greater-{F}(V6,V5), next-{F}(V0,V7), cycle-{F}(V7,V8), next-{F}(V8,V9), P_e_2-{F}(V9), P_e_3-{F}(V10) | cycle-{T}(V0,V9)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #308: mergings( V1 == V5, V5 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V15, V15 == V20, V20 == V23, V23 == V27, V27 == V29, V29 == V32, V32 == V33, V33 == V36, V36 == V39, V2 == V4, V4 == V8, V8 == V13, V13 == V16, V16 == V21, V21 == V30, V30 == V34, V34 == V37, V37 == V40, V40 == V42, V3 == V7, V7 == V9, V9 == V11, V11 == V17, V17 == V18, V18 == V19, V19 == V22, V22 == V24, V24 == V25, V25 == V26, V26 == V28, V28 == V31, V31 == V39, V39 == V35, V35 == V38, V38 == V41, V41 == V43; #266 ), references = 1, size of lhs = 5:
% 1.82/2.03 P_e_0-{F}(V0), P_e_2-{F}(V0), next-{F}(V0,V1), next-{F}(V1,V0), P_e_1-{F}(V1) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #318: mergings( V0 == V6, V6 == V9, V1 == V4, V2 == V7, V7 == V10, V3 == V8, V8 == V11; #310 ), references = 1, size of lhs = 9:
% 1.82/2.03 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_0-{F}(V2), cycle-{F}(V1,V2), P_e_2-{F}(V3), greater-{F}(V3,V1), P_e_3-{F}(V4), greater-{F}(V4,V1) | product-{T}(V1,V0,V0)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #345: mergings( V0 == V6, V6 == V10, V10 == V14, V14 == V18, V18 == V22, V1 == V7, V7 == V11, V11 == V15, V15 == V19, V19 == V23, V2 == V8, V8 == V12, V12 == V16, V16 == V20, V20 == V24, V9 == V13, V13 == V17, V17 == V21, V21 == V3; #324 ), references = 2, size of lhs = 11:
% 1.82/2.03 group_element-{F}(V0), group_element-{F}(V1), greater-{F}(V1,V2), product-{F}(V1,V2,V0), P_e_1-{F}(V2), cycle-{F}(V2,V3), P_e_0-{F}(V3), P_e_2-{F}(V4), P_e_3-{F}(V5), product-{F}(V4,V6,V1), product-{F}(V1,V6,V0) | product-{T}(V1,V0,V4)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #366: mergings( V0 == V6, V6 == V10, V10 == V14, V14 == V18, V18 == V22, V1 == V7, V7 == V11, V11 == V15, V15 == V19, V19 == V23, V2 == V5, V5 == V8, V8 == V12, V12 == V16, V16 == V20, V3 == V9, V9 == V13, V13 == V17, V17 == V21, V21 == V24; #325 ), references = 1, size of lhs = 11:
% 1.82/2.03 group_element-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), greater-{F}(V1,V2), product-{F}(V1,V2,V0), P_e_1-{F}(V2), cycle-{F}(V2,V3), P_e_0-{F}(V3), P_e_3-{F}(V4), product-{F}(V1,V5,V0), product-{F}(V4,V5,V4) | product-{T}(V1,V0,V1)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #404: mergings( V0 == V4, V4 == V8, V8 == V11, V11 == V13, V13 == V17, V17 == V20, V20 == V24, V24 == V28, V28 == V31, V31 == V35, V1 == V5, V5 == V12, V12 == V14, V14 == V21, V21 == V25, V25 == V29, V29 == V32, V6 == V9, V9 == V2, V2 == V15, V15 == V18, V18 == V22, V22 == V26, V26 == V33, V3 == V7, V7 == V10, V10 == V16, V16 == V19, V19 == V23, V23 == V27, V27 == V30, V30 == V34, V34 == V36; #370 ), references = 1, size of lhs = 8:
% 1.82/2.03 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), greater-{F}(V1,V0), P_e_2-{F}(V1), cycle-{F}(V0,V2), P_e_0-{F}(V2), P_e_3-{F}(V3) | product-{T}(V1,V0,V3)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #417: mergings( V0 == V9, V9 == V13, V1 == V5, V5 == V10, V10 == V14, V6 == V11, V11 == V2, V3 == V7, V7 == V12, V12 == V17; #406 ), references = 1, size of lhs = 11:
% 1.82/2.03 group_element-{F}(V0), P_e_0-{F}(V1), P_e_1-{F}(V2), product-{F}(V0,V2,V3), greater-{F}(V3,V0), P_e_2-{F}(V4), greater-{F}(V4,V1), next-{F}(V0,V5), cycle-{F}(V5,V6), next-{F}(V6,V2), P_e_3-{F}(V7) | cycle-{T}(V0,V2)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #439: mergings( V0 == V6, V6 == V8, V8 == V12, V12 == V14, V14 == V18, V1 == V4, V4 == V9, V9 == V15, V15 == V19, V2 == V10, V10 == V16, V16 == V20, V3 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V17; #421 ), references = 1, size of lhs = 10:
% 1.82/2.03 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), group_element-{F}(V2), greater-{F}(V2,V0), P_e_3-{F}(V2), product-{F}(V1,V0,V2), cycle-{F}(V0,V3), P_e_0-{F}(V3) | product-{T}(V2,V0,V0)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #466: mergings( V0 == V6, V6 == V9, V9 == V13, V13 == V16, V4 == V1, V1 == V17, V7 == V12, V12 == V14, V14 == V2, V3 == V8, V8 == V11, V11 == V15, V15 == V19; #451 ), references = 1, size of lhs = 11:
% 1.82/2.03 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), cycle-{F}(V1,V2), greater-{F}(V2,V3), P_e_0-{F}(V3), P_e_2-{F}(V4), cycle-{F}(V1,V5), greater-{F}(V5,V3), next-{F}(V1,V6), P_e_3-{F}(V6) | product-{T}(V1,V0,V6)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #498: mergings( V0 == V5, V5 == V9, V9 == V13, V13 == V16, V16 == V20, V1 == V6, V6 == V10, V10 == V17, V17 == V21, V2 == V7, V7 == V11, V11 == V14, V14 == V18, V18 == V22, V3 == V4, V4 == V8, V8 == V12, V12 == V15, V15 == V19; #477 ), references = 1, size of lhs = 7:
% 1.82/2.03 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), P_e_0-{F}(V2), P_e_2-{F}(V3), product-{F}(V3,V0,V1) | product-{T}(V1,V0,V3)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #517: mergings( V0 == V5, V5 == V9, V9 == V12, V12 == V16, V16 == V20, V1 == V6, V6 == V13, V13 == V17, V17 == V21, V2 == V7, V7 == V10, V10 == V14, V14 == V18, V18 == V22, V3 == V4, V4 == V8, V8 == V11, V11 == V19; #476 ), references = 1, size of lhs = 10:
% 1.82/2.03 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), next-{F}(V0,V2), P_e_2-{F}(V2), product-{F}(V2,V0,V1), cycle-{F}(V0,V3), greater-{F}(V3,V4), P_e_0-{F}(V4) | product-{T}(V1,V0,V2)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #536: mergings( V0 == V6, V6 == V9, V9 == V13, V13 == V17, V4 == V5, V5 == V1, V1 == V14, V2 == V7, V7 == V11, V11 == V15, V15 == V18, V3 == V8, V8 == V12, V12 == V16, V16 == V19; #520 ), references = 1, size of lhs = 9:
% 1.82/2.03 group_element-{F}(V0), P_e_1-{F}(V0), cycle-{F}(V0,V1), greater-{F}(V1,V2), P_e_0-{F}(V2), next-{F}(V0,V3), P_e_2-{F}(V3), P_e_3-{F}(V4), product-{F}(V4,V0,V3) | product-{T}(V0,V0,V4)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #662: mergings( V0 == V5, V5 == V6, V6 == V9, V9 == V13, V13 == V16, V16 == V20, V20 == V22, V22 == V26, V26 == V30, V30 == V32, V32 == V36, V36 == V38, V38 == V42, V42 == V45, V45 == V50, V50 == V54, V54 == V56, V56 == V60, V60 == V62, V62 == V63, V63 == V66, V66 == V70, V70 == V73, V73 == V77, V77 == V79, V79 == V83, V83 == V87, V87 == V89, V89 == V93, V93 == V95, V95 == V99, V99 == V102, V102 == V107, V107 == V111, V111 == V113, V113 == V117, V1 == V10, V10 == V17, V17 == V23, V23 == V27, V27 == V33, V33 == V37, V37 == V40, V40 == V41, V41 == V46, V46 == V51, V51 == V57, V57 == V67, V67 == V74, V74 == V80, V80 == V84, V84 == V90, V90 == V94, V94 == V97, V97 == V98, V98 == V103, V103 == V108, V108 == V114, V2 == V7, V7 == V12, V12 == V14, V14 == V18, V18 == V24, V24 == V28, V28 == V34, V34 == V39, V39 == V43, V43 == V48, V48 == V52, V52 == V55, V55 == V58, V58 == V4, V4 == V64, V64 == V69, V69 == V71, V71 == V75, V75 == V81, V81 == V85, V85 == V91, V91 == V96, V96 == V100, V100 == V105, V105 == V109, V109 == V112, V112 == V115, V3 == V8, V8 == V11, V11 == V15, V15 == V19, V19 == V21, V21 == V25, V25 == V29, V29 == V31, V31 == V35, V35 == V44, V44 == V49, V49 == V53, V53 == V59, V59 == V61, V61 == V65, V65 == V68, V68 == V72, V72 == V76, V76 == V78, V78 == V82, V82 == V86, V86 == V88, V88 == V92, V92 == V101, V101 == V106, V106 == V110, V110 == V116, V116 == V118; #545 ), references = 2, size of lhs = 15:
% 1.82/2.03 group_element-{F}(V0), P_e_2-{F}(V0), greater-{F}(V0,V1), P_e_0-{F}(V1), next-{F}(V0,V2), group_element-{F}(V2), P_e_3-{F}(V2), group_element-{F}(V3), greater-{F}(V3,V1), next-{F}(V3,V0), P_e_1-{F}(V3), cycle-{F}(V3,V4), greater-{F}(V4,V1), cycle-{F}(V3,V5), greater-{F}(V5,V1) | cycle-{T}(V0,V1)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #777: mergings( V0 == V5, V5 == V6, V6 == V9, V9 == V13, V13 == V16, V16 == V20, V20 == V22, V22 == V26, V26 == V30, V30 == V32, V32 == V36, V36 == V38, V38 == V42, V42 == V45, V45 == V50, V50 == V54, V54 == V56, V56 == V60, V60 == V62, V62 == V63, V63 == V66, V66 == V70, V70 == V73, V73 == V77, V77 == V79, V79 == V83, V83 == V87, V87 == V89, V89 == V93, V93 == V95, V95 == V99, V99 == V102, V102 == V107, V107 == V111, V111 == V113, V113 == V116, V1 == V10, V10 == V17, V17 == V23, V23 == V27, V27 == V33, V33 == V37, V37 == V40, V40 == V41, V41 == V46, V46 == V51, V51 == V57, V57 == V67, V67 == V74, V74 == V80, V80 == V84, V84 == V90, V90 == V94, V94 == V97, V97 == V98, V98 == V103, V103 == V108, V108 == V117, V2 == V7, V7 == V12, V12 == V14, V14 == V18, V18 == V24, V24 == V28, V28 == V34, V34 == V39, V39 == V43, V43 == V48, V48 == V52, V52 == V55, V55 == V58, V58 == V4, V4 == V64, V64 == V69, V69 == V71, V71 == V75, V75 == V81, V81 == V85, V85 == V91, V91 == V96, V96 == V100, V100 == V105, V105 == V109, V109 == V112, V112 == V114, V114 == V118, V3 == V8, V8 == V11, V11 == V15, V15 == V19, V19 == V21, V21 == V25, V25 == V29, V29 == V31, V31 == V35, V35 == V44, V44 == V49, V49 == V53, V53 == V59, V59 == V61, V61 == V65, V65 == V68, V68 == V72, V72 == V76, V76 == V78, V78 == V82, V82 == V86, V86 == V88, V88 == V92, V92 == V101, V101 == V106, V106 == V110, V110 == V115, V115 == V120; #546 ), references = 1, size of lhs = 17:
% 1.82/2.03 group_element-{F}(V0), P_e_2-{F}(V0), greater-{F}(V0,V1), P_e_0-{F}(V1), next-{F}(V0,V2), group_element-{F}(V2), P_e_3-{F}(V2), group_element-{F}(V3), greater-{F}(V3,V1), P_e_1-{F}(V3), next-{F}(V3,V0), cycle-{F}(V3,V4), greater-{F}(V4,V1), cycle-{F}(V3,V5), greater-{F}(V5,V1), cycle-{F}(V3,V6), greater-{F}(V6,V1) | cycle-{T}(V0,V1)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #892: mergings( V0 == V5, V5 == V6, V6 == V9, V9 == V13, V13 == V16, V16 == V20, V20 == V22, V22 == V26, V26 == V30, V30 == V32, V32 == V36, V36 == V38, V38 == V42, V42 == V45, V45 == V50, V50 == V54, V54 == V56, V56 == V59, V59 == V64, V64 == V65, V65 == V68, V68 == V72, V72 == V75, V75 == V79, V79 == V81, V81 == V85, V85 == V89, V89 == V91, V91 == V95, V95 == V97, V97 == V101, V101 == V104, V104 == V109, V109 == V113, V113 == V115, V115 == V119, V1 == V10, V10 == V17, V17 == V23, V23 == V27, V27 == V33, V33 == V37, V37 == V40, V40 == V41, V41 == V46, V46 == V51, V51 == V60, V60 == V69, V69 == V76, V76 == V82, V82 == V86, V86 == V92, V92 == V96, V96 == V99, V99 == V100, V100 == V105, V105 == V110, V110 == V116, V2 == V7, V7 == V12, V12 == V14, V14 == V18, V18 == V24, V24 == V28, V28 == V34, V34 == V39, V39 == V43, V43 == V48, V48 == V52, V52 == V55, V55 == V57, V57 == V61, V61 == V4, V4 == V66, V66 == V71, V71 == V73, V73 == V77, V77 == V83, V83 == V87, V87 == V93, V93 == V98, V98 == V102, V102 == V107, V107 == V111, V111 == V114, V114 == V117, V3 == V8, V8 == V11, V11 == V15, V15 == V19, V19 == V21, V21 == V25, V25 == V29, V29 == V31, V31 == V35, V35 == V44, V44 == V49, V49 == V53, V53 == V58, V58 == V63, V63 == V67, V67 == V70, V70 == V74, V74 == V78, V78 == V80, V80 == V84, V84 == V88, V88 == V90, V90 == V94, V94 == V103, V103 == V108, V108 == V112, V112 == V118, V118 == V120; #547 ), references = 1, size of lhs = 17:
% 1.82/2.03 group_element-{F}(V0), P_e_2-{F}(V0), greater-{F}(V0,V1), P_e_0-{F}(V1), next-{F}(V0,V2), group_element-{F}(V2), P_e_3-{F}(V2), group_element-{F}(V3), greater-{F}(V3,V1), next-{F}(V3,V0), P_e_1-{F}(V3), cycle-{F}(V3,V4), greater-{F}(V4,V1), cycle-{F}(V3,V5), greater-{F}(V5,V1), cycle-{F}(V3,V6), greater-{F}(V6,V1) | cycle-{T}(V0,V1)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #1068: mergings( V5 == V6, V6 == V12, V12 == V13, V13 == V19, V19 == V23, V23 == V27, V27 == V30, V30 == V34, V34 == V36, V36 == V40, V40 == V44, V44 == V46, V46 == V50, V50 == V52, V52 == V0, V0 == V61, V61 == V62, V62 == V65, V65 == V69, V69 == V72, V72 == V76, V76 == V78, V78 == V82, V82 == V86, V86 == V88, V88 == V92, V92 == V94, V94 == V97, V97 == V100, V100 == V104, V104 == V108, V108 == V110, V110 == V114, V114 == V116, V116 == V118, V118 == V121, V121 == V125, V125 == V128, V128 == V132, V132 == V134, V134 == V138, V138 == V142, V142 == V144, V144 == V148, V148 == V150, V150 == V153, V153 == V156, V156 == V160, V160 == V164, V164 == V166, V166 == V170, V170 == V172, V1 == V7, V7 == V14, V14 == V20, V20 == V24, V24 == V28, V28 == V31, V31 == V4, V4 == V41, V41 == V47, V47 == V51, V51 == V53, V53 == V58, V58 == V66, V66 == V73, V73 == V79, V79 == V83, V83 == V89, V89 == V93, V93 == V96, V96 == V101, V101 == V105, V105 == V111, V111 == V122, V122 == V129, V129 == V135, V135 == V139, V139 == V145, V145 == V149, V149 == V152, V152 == V157, V157 == V161, V161 == V167, V167 == V173, V2 == V8, V8 == V10, V10 == V15, V15 == V17, V17 == V21, V21 == V25, V25 == V32, V32 == V37, V37 == V42, V42 == V48, V48 == V54, V54 == V56, V56 == V59, V59 == V63, V63 == V68, V68 == V70, V70 == V74, V74 == V80, V80 == V84, V84 == V90, V90 == V95, V95 == V98, V98 == V102, V102 == V106, V106 == V109, V109 == V112, V112 == V117, V117 == V119, V119 == V124, V124 == V126, V126 == V130, V130 == V136, V136 == V140, V140 == V146, V146 == V151, V151 == V154, V154 == V158, V158 == V162, V162 == V165, V165 == V168, V168 == V174, V3 == V9, V9 == V11, V11 == V16, V16 == V18, V18 == V22, V22 == V26, V26 == V29, V29 == V33, V33 == V35, V35 == V38, V38 == V39, V39 == V43, V43 == V45, V45 == V49, V49 == V55, V55 == V57, V57 == V60, V60 == V64, V64 == V67, V67 == V71, V71 == V75, V75 == V77, V77 == V81, V81 == V85, V85 == V87, V87 == V91, V91 == V99, V99 == V103, V103 == V107, V107 == V113, V113 == V115, V115 == V120, V120 == V123, V123 == V127, V127 == V131, V131 == V133, V133 == V137, V137 == V141, V141 == V143, V143 == V147, V147 == V155, V155 == V159, V159 == V163, V163 == V169, V169 == V171, V171 == V175; #894 ), references = 1, size of lhs = 16:
% 1.82/2.03 group_element-{F}(V0), P_e_2-{F}(V0), greater-{F}(V0,V1), group_element-{F}(V1), next-{F}(V1,V0), P_e_1-{F}(V1), greater-{F}(V0,V2), greater-{F}(V1,V2), P_e_0-{F}(V2), next-{F}(V0,V3), greater-{F}(V3,V1), group_element-{F}(V3), P_e_3-{F}(V3), next-{F}(V0,V4), cycle-{F}(V4,V5), greater-{F}(V1,V5) | cycle-{T}(V1,V0)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #1249: mergings( V5 == V12, V12 == V13, V13 == V19, V19 == V20, V20 == V26, V26 == V30, V30 == V34, V34 == V37, V37 == V41, V41 == V43, V43 == V0, V0 == V48, V48 == V52, V52 == V54, V54 == V58, V58 == V60, V60 == V64, V64 == V69, V69 == V70, V70 == V73, V73 == V77, V77 == V80, V80 == V84, V84 == V86, V86 == V90, V90 == V94, V94 == V96, V96 == V100, V100 == V102, V102 == V105, V105 == V108, V108 == V112, V112 == V116, V116 == V118, V118 == V122, V122 == V124, V124 == V126, V126 == V129, V129 == V133, V133 == V136, V136 == V140, V140 == V142, V142 == V146, V146 == V150, V150 == V152, V152 == V156, V156 == V158, V158 == V161, V161 == V164, V164 == V168, V168 == V172, V172 == V174, V174 == V178, V178 == V180, V1 == V4, V4 == V14, V14 == V21, V21 == V27, V27 == V31, V31 == V35, V35 == V38, V38 == V44, V44 == V49, V49 == V55, V55 == V59, V59 == V61, V61 == V66, V66 == V74, V74 == V81, V81 == V87, V87 == V91, V91 == V97, V97 == V101, V101 == V104, V104 == V109, V109 == V113, V113 == V119, V119 == V130, V130 == V137, V137 == V143, V143 == V147, V147 == V153, V153 == V157, V157 == V160, V160 == V165, V165 == V169, V169 == V175, V175 == V181, V2 == V6, V6 == V8, V8 == V10, V10 == V15, V15 == V17, V17 == V22, V22 == V24, V24 == V28, V28 == V32, V32 == V39, V39 == V45, V45 == V50, V50 == V56, V56 == V62, V62 == V65, V65 == V67, V67 == V71, V71 == V76, V76 == V78, V78 == V82, V82 == V88, V88 == V92, V92 == V98, V98 == V103, V103 == V106, V106 == V110, V110 == V114, V114 == V117, V117 == V120, V120 == V125, V125 == V127, V127 == V132, V132 == V134, V134 == V138, V138 == V144, V144 == V148, V148 == V154, V154 == V159, V159 == V162, V162 == V166, V166 == V170, V170 == V173, V173 == V176, V176 == V182, V3 == V7, V7 == V9, V9 == V11, V11 == V16, V16 == V18, V18 == V23, V23 == V25, V25 == V29, V29 == V33, V33 == V36, V36 == V40, V40 == V42, V42 == V46, V46 == V47, V47 == V51, V51 == V53, V53 == V57, V57 == V63, V63 == V68, V68 == V72, V72 == V75, V75 == V79, V79 == V83, V83 == V85, V85 == V89, V89 == V93, V93 == V95, V95 == V99, V99 == V107, V107 == V111, V111 == V115, V115 == V121, V121 == V123, V123 == V128, V128 == V131, V131 == V135, V135 == V139, V139 == V141, V141 == V145, V145 == V149, V149 == V151, V151 == V155, V155 == V163, V163 == V167, V167 == V171, V171 == V177, V177 == V179, V179 == V183; #895 ), references = 1, size of lhs = 16:
% 1.82/2.03 group_element-{F}(V0), P_e_2-{F}(V0), greater-{F}(V0,V1), group_element-{F}(V1), next-{F}(V1,V0), P_e_1-{F}(V1), greater-{F}(V0,V2), greater-{F}(V1,V2), P_e_0-{F}(V2), next-{F}(V0,V3), greater-{F}(V3,V1), group_element-{F}(V3), P_e_3-{F}(V3), next-{F}(V0,V4), cycle-{F}(V4,V5), greater-{F}(V1,V5) | cycle-{T}(V1,V0)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #1394: mergings( V1 == V5, V5 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V18, V18 == V22, V22 == V23, V23 == V27, V27 == V30, V30 == V33, V33 == V35, V35 == V38, V38 == V39, V39 == V40, V40 == V43, V43 == V44, V44 == V47, V47 == V49, V49 == V52, V52 == V54, V54 == V56, V56 == V60, V60 == V63, V63 == V64, V64 == V67, V67 == V70, V70 == V71, V71 == V74, V74 == V76, V76 == V79, V79 == V82, V82 == V85, V85 == V87, V87 == V90, V90 == V91, V91 == V93, V93 == V97, V97 == V100, V100 == V101, V101 == V104, V104 == V107, V107 == V108, V108 == V111, V111 == V113, V113 == V116, V116 == V118, V118 == V121, V121 == V124, V124 == V126, V126 == V129, V129 == V130, V2 == V4, V4 == V8, V8 == V13, V13 == V15, V15 == V19, V19 == V24, V24 == V28, V28 == V31, V31 == V34, V34 == V36, V36 == V41, V41 == V45, V45 == V48, V48 == V50, V50 == V57, V57 == V61, V61 == V65, V65 == V68, V68 == V72, V72 == V75, V75 == V80, V80 == V83, V83 == V88, V88 == V94, V94 == V98, V98 == V102, V102 == V105, V105 == V109, V109 == V112, V112 == V115, V115 == V119, V119 == V122, V122 == V127, V127 == V131, V131 == V134, V3 == V7, V7 == V9, V9 == V11, V11 == V16, V16 == V20, V20 == V21, V21 == V25, V25 == V26, V26 == V29, V29 == V32, V32 == V37, V37 == V42, V42 == V46, V46 == V51, V51 == V53, V53 == V55, V55 == V58, V58 == V59, V59 == V62, V62 == V66, V66 == V69, V69 == V73, V73 == V77, V77 == V78, V78 == V81, V81 == V84, V84 == V86, V86 == V89, V89 == V92, V92 == V95, V95 == V96, V96 == V99, V99 == V103, V103 == V106, V106 == V110, V110 == V114, V114 == V117, V117 == V120, V120 == V123, V123 == V125, V125 == V128, V128 == V132, V132 == V133, V133 == V135; #1261 ), references = 1, size of lhs = 4:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1), next-{F}(V1,V2), P_e_2-{F}(V2) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #1486: mergings( V1 == V2, V2 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V28, V28 == V29, V29 == V31, V31 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V39, V39 == V40, V40 == V42, V42 == V44, V44 == V45, V45 == V47, V47 == V49, V49 == V50, V50 == V52, V52 == V54, V54 == V55, V55 == V57, V57 == V59, V59 == V60, V60 == V62, V62 == V63, V63 == V64, V64 == V66, V66 == V68, V68 == V69, V69 == V71, V71 == V73, V73 == V74, V74 == V76, V76 == V78, V78 == V80, V80 == V81, V81 == V83, V83 == V85, V85 == V86, V86 == V88, V88 == V89, V3 == V4, V4 == V7, V7 == V10, V10 == V12, V12 == V15, V15 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V30, V30 == V33, V33 == V35, V35 == V37, V37 == V41, V41 == V43, V43 == V46, V46 == V48, V48 == V51, V51 == V53, V53 == V56, V56 == V58, V58 == V61, V61 == V65, V65 == V67, V67 == V70, V70 == V72, V72 == V75, V75 == V77, V77 == V79, V79 == V82, V82 == V84, V84 == V87, V87 == V90, V90 == V91; #1396 ), references = 1, size of lhs = 2:
% 1.82/2.03 P_e_0-{F}(V0), P_e_1-{F}(V1) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #1542: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V31, V31 == V32, V32 == V33, V33 == V34, V34 == V35, V35 == V36, V36 == V37, V37 == V38, V38 == V39, V39 == V40, V40 == V41, V41 == V42, V42 == V43, V43 == V44, V44 == V45, V45 == V46, V46 == V47, V47 == V48, V48 == V49, V49 == V50, V50 == V51, V51 == V52, V52 == V53, V53 == V54, V54 == V55; #1487 ), references = 1, size of lhs = 1:
% 1.82/2.03 P_e_0-{F}(V0) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #1544: exists( #30, #1487 ), references = 1, size of lhs = 0:
% 1.82/2.03 FALSE | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 number of learnt formulas = 32
% 1.82/2.03
% 1.82/2.03
% 1.82/2.03 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.82/2.03
% 1.82/2.03 randbase = 1
%------------------------------------------------------------------------------