%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP127-3.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n016.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 06:03:16 EDT 2022
% Result : Unsatisfiable 2.33s 2.58s
% Output : Refutation 2.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP127-3.004 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n016.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 14:15:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.33/2.58 GeoParameters:
% 2.33/2.58
% 2.33/2.58 tptp_input = 1
% 2.33/2.58 tptp_output = 0
% 2.33/2.58 nonempty = 1
% 2.33/2.58 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.33/2.58 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.33/2.58
% 2.33/2.58
% 2.33/2.58 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.33/2.58 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.33/2.58
% 2.33/2.58 RuleSystem INPUT:
% 2.33/2.58
% 2.33/2.58 Initial Rules:
% 2.33/2.58 #0: input, references = 4, size of lhs = 2:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1) | next-{T}(V0,V1)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #1: input, references = 4, size of lhs = 3:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2) | next-{T}(V1,V2)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #2: input, references = 3, size of lhs = 4:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | next-{T}(V2,V3)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #3: input, references = 4, size of lhs = 5:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4) | next-{T}(V3,V4)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #4: input, references = 6, size of lhs = 5:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4) | greater-{T}(V1,V0)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #5: input, references = 6, size of lhs = 5:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4) | greater-{T}(V2,V0)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #6: input, references = 6, size of lhs = 5:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4) | greater-{T}(V3,V0)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #7: input, references = 3, size of lhs = 5:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4) | greater-{T}(V4,V0)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #8: input, references = 3, size of lhs = 5:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4) | greater-{T}(V2,V1)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #9: input, references = 3, size of lhs = 5:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4) | greater-{T}(V3,V1)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #10: input, references = 3, size of lhs = 5:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4) | greater-{T}(V4,V1)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #11: input, references = 4, size of lhs = 5:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4) | greater-{T}(V3,V2)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #12: input, references = 4, size of lhs = 5:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4) | greater-{T}(V4,V2)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #13: input, references = 3, size of lhs = 5:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4) | greater-{T}(V4,V3)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #14: input, references = 4, size of lhs = 7:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4), cycle-{F}(V7,V5), cycle-{F}(V7,V6) | equalish-{T}(V5,V6)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #15: input, references = 12, size of lhs = 6:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4), group_element-{F}(V5) | cycle-{T}(V5,V0), cycle-{T}(V5,V1), cycle-{T}(V5,V2), cycle-{T}(V5,V3)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #16: input, references = 5, size of lhs = 5:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4) | cycle-{T}(V4,V0)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #17: input, references = 9, size of lhs = 10:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4), greater-{F}(V5,V0), cycle-{F}(V8,V5), next-{F}(V8,V7), cycle-{F}(V7,V9), next-{F}(V9,V6) | equalish-{T}(V5,V6)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #18: input, references = 3, size of lhs = 11:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4), cycle-{F}(V5,V0), cycle-{F}(V7,V6), next-{F}(V5,V7), greater-{F}(V8,V6), cycle-{F}(V9,V8), greater-{F}(V5,V9) | FALSE
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #19: input, references = 6, size of lhs = 8:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4), cycle-{F}(V5,V0), product-{F}(V5,V1,V6), greater-{F}(V6,V5) | FALSE
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #20: input, references = 10, size of lhs = 9:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4), cycle-{F}(V5,V6), greater-{F}(V6,V0), next-{F}(V5,V7), product-{F}(V5,V1,V8) | equalish-{T}(V8,V7)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #21: input, references = 6, size of lhs = 5:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4) | group_element-{T}(V1)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #22: input, references = 4, size of lhs = 5:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4) | group_element-{T}(V2)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #23: input, references = 4, size of lhs = 5:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4) | group_element-{T}(V3)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #24: input, references = 4, size of lhs = 5:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4) | group_element-{T}(V4)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #25: input, references = 20, size of lhs = 6:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4), equalish-{F}(V1,V2) | FALSE
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #26: input, references = 6, size of lhs = 6:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4), equalish-{F}(V1,V3) | FALSE
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #27: input, references = 8, size of lhs = 6:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4), equalish-{F}(V1,V4) | FALSE
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #28: input, references = 10, size of lhs = 6:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4), equalish-{F}(V2,V1) | FALSE
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #29: input, references = 5, size of lhs = 6:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4), equalish-{F}(V2,V3) | FALSE
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #30: input, references = 9, size of lhs = 6:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4), equalish-{F}(V2,V4) | FALSE
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #31: input, references = 5, size of lhs = 6:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4), equalish-{F}(V3,V1) | FALSE
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #32: input, references = 8, size of lhs = 6:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4), equalish-{F}(V3,V2) | FALSE
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #33: input, references = 6, size of lhs = 6:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4), equalish-{F}(V3,V4) | FALSE
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #34: input, references = 8, size of lhs = 6:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4), equalish-{F}(V4,V1) | FALSE
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #35: input, references = 7, size of lhs = 6:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4), equalish-{F}(V4,V2) | FALSE
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #36: input, references = 5, size of lhs = 6:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4), equalish-{F}(V4,V3) | FALSE
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #37: input, references = 17, size of lhs = 7:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4), group_element-{F}(V5), group_element-{F}(V6) | product-{T}(V6,V5,V1), product-{T}(V6,V5,V2), product-{T}(V6,V5,V3), product-{T}(V6,V5,V4)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #38: input, references = 7, size of lhs = 7:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4), product-{F}(V8,V7,V6), product-{F}(V8,V7,V5) | equalish-{T}(V6,V5)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #39: input, references = 21, size of lhs = 7:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4), product-{F}(V8,V6,V7), product-{F}(V8,V5,V7) | equalish-{T}(V6,V5)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #40: input, references = 28, size of lhs = 7:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4), product-{F}(V6,V7,V8), product-{F}(V5,V7,V8) | equalish-{T}(V6,V5)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #41: input, references = 10, size of lhs = 6:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4), #-{F} V5 | product-{T}(V5,V5,V5)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #42: input, references = 13, size of lhs = 7:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4), product-{F}(V6,V5,V7), product-{F}(V5,V8,V6) | product-{T}(V7,V5,V8)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #43: input, references = 4, size of lhs = 0:
% 2.33/2.58 FALSE | EXISTS V0: P_e_0-{T}(V0)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #44: input, references = 4, size of lhs = 0:
% 2.33/2.58 FALSE | EXISTS V0: P_e_1-{T}(V0)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #45: input, references = 5, size of lhs = 0:
% 2.33/2.58 FALSE | EXISTS V0: P_e_2-{T}(V0)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #46: input, references = 6, size of lhs = 0:
% 2.33/2.58 FALSE | EXISTS V0: P_e_3-{T}(V0)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #47: input, references = 8, size of lhs = 0:
% 2.33/2.58 FALSE | EXISTS V0: P_e_4-{T}(V0)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 number of initial rules = 48
% 2.33/2.58
% 2.33/2.58 Simplifiers:
% 2.33/2.58 #48: unsound, references = 3, size of lhs = 3:
% 2.33/2.58 P_e_0-{F}(V0), P_e_0-{F}(V1), V0 == V1 | FALSE
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #49: unsound, references = 3, size of lhs = 3:
% 2.33/2.58 P_e_1-{F}(V0), P_e_1-{F}(V1), V0 == V1 | FALSE
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #50: unsound, references = 3, size of lhs = 3:
% 2.33/2.58 P_e_2-{F}(V0), P_e_2-{F}(V1), V0 == V1 | FALSE
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #51: unsound, references = 3, size of lhs = 3:
% 2.33/2.58 P_e_3-{F}(V0), P_e_3-{F}(V1), V0 == V1 | FALSE
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #52: unsound, references = 3, size of lhs = 3:
% 2.33/2.58 P_e_4-{F}(V0), P_e_4-{F}(V1), V0 == V1 | FALSE
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 number of simplifiers = 5
% 2.33/2.58
% 2.33/2.58 Learnt:
% 2.33/2.58 #71: mergings( V1 == V5, V5 == V9, V9 == V2, V2 == V6, V6 == V3, V3 == V7, V4 == V8, V8 == V10; #61 ), references = 1, size of lhs = 4:
% 2.33/2.58 P_e_1-{F}(V0), P_e_2-{F}(V0), P_e_0-{F}(V0), P_e_3-{F}(V1) | FALSE
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #80: mergings( V1 == V4, V4 == V7, V7 == V2, V2 == V5, V5 == V3, V3 == V6; #72 ), references = 1, size of lhs = 3:
% 2.33/2.58 P_e_1-{F}(V0), P_e_2-{F}(V0), P_e_0-{F}(V0) | FALSE
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #100: mergings( V1 == V0, V0 == V6, V6 == V11, V2 == V7, V7 == V12, V3 == V8, V8 == V13, V4 == V9, V9 == V14; #87 ), references = 1, size of lhs = 10:
% 2.33/2.58 group_element-{F}(V0), P_e_0-{F}(V1), P_e_1-{F}(V1), product-{F}(V0,V1,V2), greater-{F}(V2,V0), P_e_2-{F}(V3), P_e_3-{F}(V4), P_e_4-{F}(V5), product-{F}(V0,V1,V6), greater-{F}(V6,V0) | cycle-{T}(V0,V3), cycle-{T}(V0,V4)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #110: mergings( V1 == V0, V0 == V6, V6 == V10, V2 == V7, V7 == V11, V3 == V8, V8 == V12, V4 == V9, V9 == V13; #90 ), references = 1, size of lhs = 9:
% 2.33/2.58 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), P_e_4-{F}(V4) | cycle-{T}(V0,V2), cycle-{T}(V0,V3)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #120: mergings( V1 == V0, V0 == V6, V6 == V11, V2 == V7, V7 == V12, V3 == V8, V8 == V13, V4 == V9, V9 == V14; #88 ), references = 1, size of lhs = 11:
% 2.33/2.58 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), product-{F}(V0,V1,V2), greater-{F}(V2,V0), P_e_2-{F}(V3), P_e_3-{F}(V4), P_e_4-{F}(V5) | cycle-{T}(V0,V3), cycle-{T}(V0,V4)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #143: mergings( V0 == V5, V5 == V16, V16 == V21, V21 == V6, V6 == V11, V11 == V17, V17 == V22, V1 == V7, V7 == V12, V12 == V18, V18 == V23, V2 == V8, V8 == V13, V13 == V19, V19 == V24, V3 == V9, V9 == V14, V14 == V20, V20 == V25; #123 ), references = 1, size of lhs = 13:
% 2.33/2.58 group_element-{F}(V0), P_e_0-{F}(V1), P_e_1-{F}(V1), product-{F}(V0,V1,V1), product-{F}(V0,V1,V2), greater-{F}(V2,V0), product-{F}(V0,V1,V3), greater-{F}(V3,V0), next-{F}(V0,V4), greater-{F}(V4,V1), P_e_2-{F}(V4), P_e_3-{F}(V5), P_e_4-{F}(V6) | cycle-{T}(V0,V5)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #192: mergings( V1 == V8, V8 == V11, V11 == V15, V15 == V18, V18 == V23, V23 == V26, V26 == V29, V29 == V32, V4 == V6, V6 == V12, V12 == V32, V2 == V7, V7 == V9, V9 == V13, V13 == V16, V16 == V19, V19 == V21, V21 == V24, V24 == V27, V27 == V30, V30 == V33, V3 == V5, V5 == V10, V10 == V14, V14 == V17, V17 == V20, V20 == V22, V22 == V25, V25 == V28, V28 == V31, V31 == V34; #159 ), references = 1, size of lhs = 5:
% 2.33/2.58 P_e_1-{F}(V0), P_e_0-{F}(V0), next-{F}(V0,V1), P_e_2-{F}(V1), P_e_3-{F}(V2) | FALSE
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #216: mergings( V1 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V20, V20 == V22, V3 == V4, V4 == V9, V9 == V22, V2 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23; #193 ), references = 1, size of lhs = 4:
% 2.33/2.58 P_e_1-{F}(V0), P_e_0-{F}(V0), next-{F}(V0,V1), P_e_2-{F}(V1) | FALSE
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #233: mergings( V1 == V2, V2 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V3 == V4, V4 == V7, V7 == V13; #219 ), references = 1, size of lhs = 2:
% 2.33/2.58 P_e_1-{F}(V0), P_e_0-{F}(V0) | FALSE
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #249: mergings( V1 == V5, V5 == V9, V2 == V6, V6 == V10, V3 == V7, V7 == V11, V4 == V8, V8 == V10; #239 ), references = 1, size of lhs = 4:
% 2.33/2.58 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_3-{F}(V1), P_e_2-{F}(V2) | FALSE
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #289: mergings( V0 == V6, V6 == V11, V11 == V16, V16 == V21, V21 == V26, V26 == V31, V1 == V7, V7 == V12, V12 == V17, V17 == V22, V22 == V27, V27 == V32, V2 == V8, V8 == V13, V13 == V18, V18 == V23, V23 == V28, V28 == V33, V3 == V9, V9 == V14, V14 == V19, V19 == V24, V24 == V29, V29 == V34, V4 == V10, V10 == V15, V15 == V20, V20 == V25, V25 == V30, V30 == V35; #258 ), references = 1, size of lhs = 11:
% 2.33/2.58 group_element-{F}(V0), P_e_0-{F}(V1), greater-{F}(V1,V1), P_e_1-{F}(V2), greater-{F}(V2,V1), product-{F}(V0,V2,V2), next-{F}(V0,V3), greater-{F}(V3,V1), P_e_2-{F}(V3), P_e_3-{F}(V4), P_e_4-{F}(V5) | cycle-{T}(V0,V4)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #335: mergings( V7 == V10, V10 == V14, V14 == V20, V20 == V23, V23 == V26, V26 == V29, V29 == V32, V32 == V35, V35 == V38, V3 == V5, V5 == V11, V11 == V15, V15 == V17, V1 == V6, V6 == V8, V8 == V12, V12 == V16, V16 == V18, V18 == V21, V21 == V24, V24 == V27, V27 == V30, V30 == V33, V33 == V36, V36 == V39, V2 == V4, V4 == V9, V9 == V13, V13 == V38, V38 == V19, V19 == V22, V22 == V25, V25 == V28, V28 == V31, V31 == V34, V34 == V37, V37 == V40; #297 ), references = 1, size of lhs = 5:
% 2.33/2.58 P_e_1-{F}(V0), P_e_0-{F}(V1), P_e_3-{F}(V1), next-{F}(V0,V2), P_e_2-{F}(V2) | FALSE
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #384: mergings( V0 == V6, V6 == V11, V11 == V16, V16 == V21, V21 == V26, V26 == V31, V1 == V7, V7 == V12, V12 == V17, V17 == V22, V22 == V27, V27 == V32, V2 == V8, V8 == V13, V13 == V18, V18 == V23, V23 == V28, V28 == V33, V3 == V9, V9 == V14, V14 == V19, V19 == V24, V24 == V29, V29 == V34, V4 == V10, V10 == V15, V15 == V20, V20 == V25, V25 == V30, V30 == V35; #353 ), references = 1, size of lhs = 11:
% 2.33/2.58 group_element-{F}(V0), P_e_0-{F}(V1), P_e_1-{F}(V2), greater-{F}(V2,V1), product-{F}(V0,V2,V2), next-{F}(V0,V3), greater-{F}(V3,V1), P_e_2-{F}(V3), P_e_3-{F}(V4), greater-{F}(V4,V1), P_e_4-{F}(V5) | cycle-{T}(V0,V1)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #401: mergings( V0 == V6, V6 == V14, V14 == V22, V1 == V7, V7 == V15, V15 == V23, V2 == V8, V8 == V16, V16 == V24, V3 == V9, V9 == V17, V17 == V25, V4 == V10, V10 == V18, V18 == V26; #385 ), references = 3, size of lhs = 21:
% 2.33/2.58 group_element-{F}(V0), greater-{F}(V1,V0), cycle-{F}(V1,V2), P_e_0-{F}(V2), next-{F}(V1,V3), cycle-{F}(V3,V4), cycle-{F}(V5,V2), greater-{F}(V5,V0), next-{F}(V5,V6), cycle-{F}(V6,V7), P_e_1-{F}(V8), greater-{F}(V8,V4), P_e_2-{F}(V9), greater-{F}(V9,V7), P_e_3-{F}(V10), P_e_4-{F}(V11), cycle-{F}(V12,V2), greater-{F}(V12,V0), next-{F}(V12,V13), cycle-{F}(V13,V14), greater-{F}(V10,V14) | cycle-{T}(V0,V2)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #425: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V1 == V5, V5 == V8, V8 == V13, V13 == V17, V2 == V9, V9 == V14, V14 == V18, V18 == V22, V3 == V10, V10 == V15, V15 == V19, V19 == V23, V4 == V6, V6 == V11, V11 == V20, V20 == V24; #404 ), references = 1, size of lhs = 9:
% 2.33/2.58 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), product-{F}(V1,V1,V1), P_e_0-{F}(V2), P_e_2-{F}(V3), P_e_3-{F}(V4) | product-{T}(V1,V0,V3), product-{T}(V1,V0,V4)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #449: mergings( V0 == V7, V7 == V11, V11 == V16, V16 == V21, V1 == V5, V5 == V12, V12 == V17, V8 == V2, V2 == V18, V18 == V22, V3 == V9, V9 == V15, V15 == V19, V19 == V23, V4 == V10, V10 == V14, V14 == V20, V20 == V24; #429 ), references = 1, size of lhs = 11:
% 2.33/2.58 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), next-{F}(V1,V4), P_e_4-{F}(V4), P_e_2-{F}(V5), P_e_3-{F}(V6), product-{F}(V1,V6,V6) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V4)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #469: mergings( V0 == V7, V7 == V11, V11 == V16, V16 == V21, V1 == V5, V5 == V12, V12 == V17, V17 == V22, V8 == V2, V2 == V18, V18 == V23, V3 == V6, V6 == V9, V9 == V15, V15 == V19, V4 == V10, V10 == V14, V14 == V20, V20 == V24; #430 ), references = 1, size of lhs = 11:
% 2.33/2.58 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), cycle-{F}(V1,V2), greater-{F}(V2,V3), P_e_0-{F}(V3), next-{F}(V1,V4), P_e_4-{F}(V4), product-{F}(V4,V0,V1), P_e_2-{F}(V5) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V4)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #502: mergings( V0 == V6, V6 == V10, V10 == V16, V16 == V21, V21 == V25, V25 == V30, V1 == V4, V4 == V11, V11 == V17, V17 == V26, V26 == V31, V7 == V12, V12 == V18, V18 == V22, V22 == V27, V27 == V32, V2 == V5, V5 == V8, V8 == V15, V15 == V19, V19 == V23, V23 == V28, V3 == V9, V9 == V14, V14 == V20, V20 == V24, V24 == V29, V29 == V33; #472 ), references = 3, size of lhs = 12:
% 2.33/2.58 group_element-{F}(V0), P_e_1-{F}(V0), product-{F}(V0,V0,V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_3-{F}(V1), cycle-{F}(V1,V2), greater-{F}(V2,V3), P_e_0-{F}(V3), next-{F}(V1,V4), P_e_4-{F}(V4), P_e_2-{F}(V5) | product-{T}(V1,V0,V4)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #529: mergings( V0 == V6, V6 == V10, V10 == V16, V16 == V21, V21 == V25, V25 == V29, V4 == V11, V11 == V17, V17 == V1, V7 == V12, V12 == V18, V18 == V22, V22 == V26, V26 == V32, V2 == V8, V8 == V15, V15 == V19, V19 == V23, V23 == V27, V27 == V33, V3 == V9, V9 == V14, V14 == V20, V20 == V24, V24 == V28, V28 == V31; #473 ), references = 1, size of lhs = 13:
% 2.33/2.58 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), cycle-{F}(V1,V4), greater-{F}(V4,V3), next-{F}(V1,V5), P_e_4-{F}(V5), P_e_2-{F}(V6), P_e_3-{F}(V7), product-{F}(V1,V7,V7) | product-{T}(V1,V0,V5)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #559: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V1 == V5, V5 == V8, V8 == V13, V13 == V17, V2 == V6, V6 == V9, V9 == V18, V18 == V22, V3 == V10, V10 == V14, V14 == V19, V19 == V23, V4 == V11, V11 == V15, V15 == V20, V20 == V24; #535 ), references = 1, size of lhs = 9:
% 2.33/2.58 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), product-{F}(V1,V1,V1), P_e_0-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4) | product-{T}(V1,V0,V3), product-{T}(V1,V0,V4)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #603: mergings( V0 == V7, V7 == V10, V10 == V15, V15 == V20, V20 == V23, V23 == V28, V28 == V33, V33 == V36, V36 == V41, V1 == V6, V6 == V11, V11 == V16, V16 == V19, V19 == V24, V24 == V29, V29 == V32, V32 == V37, V37 == V42, V2 == V9, V9 == V12, V12 == V17, V17 == V22, V22 == V25, V25 == V30, V30 == V35, V35 == V38, V38 == V43, V3 == V13, V13 == V26, V26 == V5, V5 == V39, V4 == V8, V8 == V14, V14 == V18, V18 == V21, V21 == V27, V27 == V31, V31 == V34, V34 == V40, V40 == V44; #562 ), references = 1, size of lhs = 14:
% 2.33/2.58 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), greater-{F}(V0,V1), P_e_0-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V2), greater-{F}(V2,V1), P_e_3-{F}(V2), next-{F}(V2,V3), P_e_4-{F}(V3), P_e_2-{F}(V4), greater-{F}(V4,V1), product-{F}(V4,V0,V3) | cycle-{T}(V2,V1)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #670: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V29, V29 == V31, V31 == V36, V36 == V39, V39 == V41, V41 == V46, V46 == V50, V50 == V52, V52 == V57, V57 == V60, V1 == V8, V8 == V13, V13 == V17, V17 == V25, V25 == V32, V32 == V37, V37 == V42, V42 == V47, V47 == V5, V5 == V53, V53 == V58, V58 == V65, V2 == V9, V9 == V18, V18 == V22, V22 == V26, V26 == V30, V30 == V33, V33 == V40, V40 == V43, V43 == V51, V51 == V54, V54 == V6, V6 == V66, V66 == V71, V3 == V10, V10 == V14, V14 == V19, V19 == V23, V23 == V27, V27 == V34, V34 == V44, V44 == V49, V49 == V55, V55 == V67, V67 == V72, V11 == V15, V15 == V20, V20 == V24, V24 == V28, V28 == V35, V35 == V38, V38 == V45, V45 == V48, V48 == V4, V4 == V56, V56 == V59, V59 == V68, V68 == V73; #606 ), references = 1, size of lhs = 26:
% 2.33/2.58 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), greater-{F}(V0,V1), P_e_0-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V2), greater-{F}(V2,V1), P_e_3-{F}(V2), next-{F}(V2,V3), P_e_4-{F}(V3), group_element-{F}(V4), greater-{F}(V4,V1), product-{F}(V4,V4,V4), greater-{F}(V2,V4), greater-{F}(V3,V4), P_e_2-{F}(V4), next-{F}(V2,V5), cycle-{F}(V5,V6), greater-{F}(V0,V6), next-{F}(V2,V7), cycle-{F}(V7,V8), greater-{F}(V4,V8), next-{F}(V2,V9), cycle-{F}(V9,V10), greater-{F}(V2,V10) | product-{T}(V4,V0,V2)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #692: mergings( V0 == V6, V6 == V11, V11 == V17, V17 == V22, V1 == V7, V7 == V12, V12 == V18, V18 == V23, V8 == V2, V2 == V19, V19 == V24, V9 == V15, V15 == V20, V20 == V3, V4 == V10, V10 == V16, V16 == V21, V21 == V27; #673 ), references = 1, size of lhs = 14:
% 2.33/2.58 group_element-{F}(V0), next-{F}(V0,V1), cycle-{F}(V1,V2), next-{F}(V2,V3), P_e_1-{F}(V3), P_e_0-{F}(V4), P_e_2-{F}(V5), greater-{F}(V5,V4), P_e_3-{F}(V6), greater-{F}(V6,V4), next-{F}(V0,V7), cycle-{F}(V7,V8), next-{F}(V8,V3), P_e_4-{F}(V9) | cycle-{T}(V0,V4), cycle-{T}(V0,V3)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #721: mergings( V4 == V9, V9 == V16, V16 == V21, V21 == V0, V1 == V5, V5 == V10, V10 == V17, V17 == V22, V22 == V33, V33 == V39, V6 == V11, V11 == V18, V18 == V23, V23 == V34, V34 == V40, V7 == V14, V14 == V19, V19 == V24, V24 == V35, V35 == V41, V2 == V8, V8 == V15, V15 == V20, V20 == V27, V27 == V36, V36 == V42; #694 ), references = 1, size of lhs = 27:
% 2.33/2.58 group_element-{F}(V0), next-{F}(V0,V1), cycle-{F}(V1,V2), next-{F}(V2,V3), P_e_1-{F}(V3), next-{F}(V0,V4), cycle-{F}(V4,V5), next-{F}(V5,V3), group_element-{F}(V6), greater-{F}(V0,V6), P_e_0-{F}(V7), next-{F}(V0,V8), cycle-{F}(V8,V9), greater-{F}(V3,V9), next-{F}(V0,V10), cycle-{F}(V10,V11), next-{F}(V0,V12), cycle-{F}(V12,V13), P_e_2-{F}(V14), greater-{F}(V14,V7), greater-{F}(V14,V11), P_e_3-{F}(V15), greater-{F}(V15,V7), greater-{F}(V15,V13), P_e_4-{F}(V16), product-{F}(V6,V3,V17), greater-{F}(V17,V6) | cycle-{T}(V0,V3)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #737: mergings( V0 == V11, V11 == V16, V6 == V12, V12 == V1, V2 == V7, V7 == V13, V13 == V19, V3 == V8, V8 == V14, V14 == V20, V4 == V9, V9 == V15, V15 == V21; #723 ), references = 1, size of lhs = 12:
% 2.33/2.58 group_element-{F}(V0), P_e_0-{F}(V1), P_e_1-{F}(V2), greater-{F}(V2,V1), product-{F}(V0,V2,V3), greater-{F}(V3,V0), next-{F}(V0,V4), cycle-{F}(V4,V5), next-{F}(V5,V6), P_e_2-{F}(V6), P_e_3-{F}(V7), P_e_4-{F}(V8) | cycle-{T}(V0,V6), cycle-{T}(V0,V7)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #762: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V2 == V9, V9 == V14, V14 == V18, V18 == V23, V3 == V10, V10 == V15, V15 == V19, V19 == V24, V4 == V6, V6 == V11, V11 == V20; #741 ), references = 1, size of lhs = 9:
% 2.33/2.58 group_element-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), P_e_0-{F}(V2), P_e_1-{F}(V3), P_e_2-{F}(V4), product-{F}(V4,V0,V5), P_e_3-{F}(V5), product-{F}(V5,V0,V1) | product-{T}(V1,V0,V3), product-{T}(V1,V0,V4)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #783: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V1 == V5, V5 == V8, V8 == V13, V13 == V17, V2 == V9, V9 == V14, V14 == V18, V18 == V22, V3 == V10, V10 == V15, V15 == V19, V19 == V23, V4 == V6, V6 == V11, V11 == V20, V20 == V24; #742 ), references = 1, size of lhs = 9:
% 2.33/2.58 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), product-{F}(V1,V1,V1), P_e_0-{F}(V2), P_e_2-{F}(V3), product-{F}(V3,V0,V4), P_e_3-{F}(V4) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V3)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #799: mergings( V0 == V11, V11 == V16, V6 == V12, V12 == V1, V2 == V7, V7 == V13, V13 == V19, V3 == V8, V8 == V14, V14 == V20, V4 == V9, V9 == V15, V15 == V21; #785 ), references = 1, size of lhs = 12:
% 2.33/2.58 group_element-{F}(V0), P_e_0-{F}(V1), P_e_1-{F}(V2), greater-{F}(V2,V1), product-{F}(V0,V2,V3), greater-{F}(V3,V0), next-{F}(V0,V4), cycle-{F}(V4,V5), next-{F}(V5,V6), P_e_2-{F}(V6), P_e_3-{F}(V7), P_e_4-{F}(V8) | cycle-{T}(V0,V6), cycle-{T}(V0,V7)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #824: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V2 == V9, V9 == V14, V14 == V18, V18 == V23, V3 == V10, V10 == V15, V15 == V19, V19 == V24, V4 == V6, V6 == V11, V11 == V20; #803 ), references = 1, size of lhs = 9:
% 2.33/2.58 group_element-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), P_e_0-{F}(V2), P_e_1-{F}(V3), product-{F}(V3,V0,V3), P_e_2-{F}(V4), P_e_3-{F}(V5), product-{F}(V5,V0,V1) | product-{T}(V1,V0,V4), product-{T}(V1,V0,V5)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #845: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V1 == V5, V5 == V8, V8 == V13, V13 == V17, V2 == V9, V9 == V14, V14 == V18, V18 == V22, V3 == V10, V10 == V15, V15 == V19, V19 == V23, V4 == V6, V6 == V11, V11 == V20, V20 == V24; #804 ), references = 1, size of lhs = 9:
% 2.33/2.58 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), product-{F}(V1,V1,V1), P_e_0-{F}(V2), P_e_2-{F}(V3), P_e_3-{F}(V4) | product-{T}(V1,V0,V3), product-{T}(V1,V0,V4)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #861: mergings( V0 == V11, V11 == V16, V1 == V6, V6 == V12, V12 == V17, V2 == V7, V7 == V13, V13 == V18, V8 == V14, V14 == V3, V4 == V9, V9 == V15, V15 == V21; #847 ), references = 1, size of lhs = 12:
% 2.33/2.58 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), P_e_3-{F}(V5), greater-{F}(V5,V1), next-{F}(V0,V6), cycle-{F}(V6,V7), next-{F}(V7,V4), P_e_4-{F}(V8) | cycle-{T}(V0,V2), cycle-{T}(V0,V4)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #886: mergings( V4 == V10, V10 == V15, V15 == V22, V22 == V27, V5 == V11, V11 == V16, V16 == V23, V23 == V0, V1 == V6, V6 == V12, V12 == V17, V17 == V24, V24 == V30, V7 == V13, V13 == V18, V18 == V25, V25 == V31, V2 == V8, V8 == V14, V14 == V21, V21 == V26, V26 == V32; #863 ), references = 1, size of lhs = 16:
% 2.33/2.58 group_element-{F}(V0), next-{F}(V0,V1), cycle-{F}(V1,V2), next-{F}(V2,V3), P_e_2-{F}(V3), P_e_0-{F}(V4), P_e_1-{F}(V5), greater-{F}(V5,V4), product-{F}(V0,V5,V6), greater-{F}(V6,V0), next-{F}(V0,V7), cycle-{F}(V7,V8), next-{F}(V8,V3), P_e_3-{F}(V9), greater-{F}(V9,V4), P_e_4-{F}(V10) | cycle-{T}(V0,V3)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #929: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V26, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V27, V2 == V5, V5 == V9, V9 == V18, V18 == V23, V3 == V10, V10 == V14, V14 == V19, V19 == V24, V24 == V28, V4 == V11, V11 == V15, V15 == V20, V20 == V25, V25 == V29; #897 ), references = 1, size of lhs = 10:
% 2.33/2.58 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_0-{F}(V2), P_e_1-{F}(V3), product-{F}(V1,V3,V3), P_e_3-{F}(V4), P_e_4-{F}(V5), product-{F}(V5,V1,V6), product-{F}(V6,V1,V4) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V4)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #955: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V26, V1 == V6, V6 == V8, V8 == V13, V13 == V17, V17 == V22, V2 == V5, V5 == V9, V9 == V18, V18 == V23, V23 == V27, V3 == V10, V10 == V14, V14 == V19, V19 == V24, V24 == V28, V4 == V11, V11 == V15, V15 == V20, V20 == V25, V25 == V29; #896 ), references = 1, size of lhs = 10:
% 2.33/2.58 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_1-{F}(V1), P_e_0-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4), product-{F}(V4,V1,V5), product-{F}(V5,V0,V0) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V3)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #981: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V26, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V27, V2 == V5, V5 == V9, V9 == V18, V18 == V23, V23 == V28, V3 == V10, V10 == V14, V14 == V19, V19 == V24, V24 == V29, V4 == V11, V11 == V15, V15 == V20, V20 == V25, V25 == V30; #898 ), references = 1, size of lhs = 9:
% 2.33/2.58 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_0-{F}(V2), P_e_1-{F}(V3), product-{F}(V1,V3,V3), P_e_3-{F}(V4), P_e_4-{F}(V5), product-{F}(V5,V1,V0) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V4)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #1006: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V2 == V9, V9 == V14, V14 == V18, V18 == V23, V3 == V6, V6 == V10, V10 == V19, V4 == V11, V11 == V15, V15 == V20, V20 == V24; #986 ), references = 1, size of lhs = 9:
% 2.33/2.58 group_element-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), P_e_0-{F}(V2), P_e_1-{F}(V3), P_e_2-{F}(V4), product-{F}(V4,V0,V4), P_e_4-{F}(V5), product-{F}(V5,V0,V3) | product-{T}(V1,V0,V1), product-{T}(V1,V0,V5)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #1040: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V26, V26 == V31, V2 == V5, V5 == V9, V9 == V14, V14 == V18, V18 == V23, V23 == V27, V3 == V6, V6 == V10, V10 == V19, V19 == V28, V28 == V32, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V33; #1009 ), references = 3, size of lhs = 10:
% 2.33/2.58 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), product-{F}(V1,V1,V1), P_e_0-{F}(V2), P_e_1-{F}(V3), P_e_4-{F}(V4), product-{F}(V4,V0,V3) | product-{T}(V1,V0,V4)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #1069: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V26, V26 == V31, V2 == V9, V9 == V14, V14 == V18, V18 == V23, V23 == V27, V27 == V32, V3 == V6, V6 == V10, V10 == V19, V19 == V28, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V33; #1010 ), references = 1, size of lhs = 10:
% 2.33/2.58 group_element-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), P_e_0-{F}(V2), P_e_1-{F}(V3), product-{F}(V3,V0,V1), P_e_2-{F}(V4), product-{F}(V4,V0,V4), P_e_4-{F}(V5), product-{F}(V5,V0,V3) | product-{T}(V1,V0,V5)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #1125: mergings( V0 == V7, V7 == V12, V12 == V17, V17 == V20, V20 == V25, V25 == V29, V29 == V34, V34 == V38, V38 == V43, V43 == V47, V47 == V52, V1 == V13, V13 == V18, V18 == V21, V21 == V26, V26 == V30, V30 == V35, V35 == V39, V39 == V44, V44 == V48, V48 == V53, V2 == V8, V8 == V5, V5 == V14, V14 == V19, V19 == V22, V22 == V27, V27 == V31, V31 == V40, V40 == V49, V49 == V54, V3 == V9, V9 == V11, V11 == V15, V15 == V23, V23 == V32, V32 == V36, V36 == V41, V41 == V45, V45 == V50, V50 == V55, V4 == V6, V6 == V10, V10 == V16, V16 == V24, V24 == V28, V28 == V33, V33 == V37, V37 == V42, V42 == V46, V46 == V51; #1072 ), references = 1, size of lhs = 11:
% 2.33/2.58 group_element-{F}(V0), P_e_4-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), product-{F}(V1,V1,V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_3-{F}(V2), P_e_0-{F}(V3), P_e_1-{F}(V4), product-{F}(V2,V4,V0) | product-{T}(V0,V1,V2), product-{T}(V0,V1,V0)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #1148: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V1 == V6, V6 == V8, V8 == V17, V2 == V9, V9 == V13, V13 == V18, V18 == V22, V3 == V10, V10 == V14, V14 == V19, V19 == V23, V4 == V11, V11 == V15, V15 == V20, V20 == V24; #1128 ), references = 1, size of lhs = 9:
% 2.33/2.58 group_element-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), P_e_0-{F}(V2), P_e_2-{F}(V3), product-{F}(V3,V0,V3), P_e_3-{F}(V4), P_e_4-{F}(V5), product-{F}(V5,V0,V4) | product-{T}(V1,V0,V1), product-{T}(V1,V0,V5)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #1176: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V2 == V9, V9 == V14, V14 == V18, V18 == V23, V3 == V10, V10 == V15, V15 == V19, V19 == V24, V4 == V6, V6 == V11, V11 == V20; #1153 ), references = 1, size of lhs = 9:
% 2.33/2.58 group_element-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), P_e_0-{F}(V2), P_e_1-{F}(V3), P_e_2-{F}(V4), product-{F}(V4,V0,V5), P_e_3-{F}(V5), product-{F}(V5,V0,V1) | product-{T}(V1,V0,V3), product-{T}(V1,V0,V4)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #1197: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V1 == V5, V5 == V8, V8 == V13, V13 == V17, V2 == V9, V9 == V14, V14 == V18, V18 == V22, V3 == V10, V10 == V15, V15 == V19, V19 == V23, V4 == V6, V6 == V11, V11 == V20, V20 == V24; #1154 ), references = 1, size of lhs = 9:
% 2.33/2.58 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), product-{F}(V1,V1,V1), P_e_0-{F}(V2), P_e_2-{F}(V3), product-{F}(V3,V0,V4), P_e_3-{F}(V4) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V3)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #1228: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V26, V26 == V31, V2 == V9, V9 == V14, V14 == V18, V18 == V23, V23 == V27, V27 == V32, V3 == V10, V10 == V15, V15 == V19, V19 == V24, V24 == V28, V28 == V33, V4 == V6, V6 == V11, V11 == V20, V20 == V29; #1199 ), references = 1, size of lhs = 10:
% 2.33/2.58 group_element-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), P_e_0-{F}(V2), P_e_1-{F}(V3), product-{F}(V3,V0,V3), P_e_2-{F}(V4), product-{F}(V4,V0,V5), product-{F}(V5,V0,V1), P_e_3-{F}(V5) | product-{T}(V1,V0,V4)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #1267: mergings( V0 == V7, V7 == V12, V12 == V17, V17 == V22, V22 == V27, V27 == V32, V1 == V8, V8 == V13, V13 == V18, V18 == V23, V23 == V28, V28 == V33, V2 == V5, V5 == V9, V9 == V14, V14 == V24, V24 == V29, V3 == V10, V10 == V15, V15 == V19, V19 == V25, V25 == V30, V30 == V34, V4 == V11, V11 == V16, V16 == V20, V20 == V26, V26 == V31, V31 == V35; #1236 ), references = 1, size of lhs = 11:
% 2.33/2.58 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_0-{F}(V2), P_e_1-{F}(V3), product-{F}(V3,V3,V4), product-{F}(V4,V3,V1), P_e_3-{F}(V5), P_e_4-{F}(V6), product-{F}(V6,V1,V7), product-{F}(V7,V1,V5) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V5)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #1298: mergings( V0 == V7, V7 == V12, V12 == V17, V17 == V22, V22 == V27, V27 == V32, V1 == V6, V6 == V8, V8 == V13, V13 == V18, V18 == V23, V23 == V28, V2 == V5, V5 == V9, V9 == V14, V14 == V24, V24 == V29, V29 == V33, V3 == V10, V10 == V15, V15 == V19, V19 == V25, V25 == V30, V30 == V34, V4 == V11, V11 == V16, V16 == V20, V20 == V26, V26 == V31, V31 == V35; #1235 ), references = 1, size of lhs = 11:
% 2.33/2.58 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), product-{F}(V1,V1,V2), product-{F}(V2,V1,V1), P_e_0-{F}(V3), P_e_3-{F}(V4), P_e_4-{F}(V5), product-{F}(V5,V1,V6), product-{F}(V6,V0,V0) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V4)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #1329: mergings( V0 == V7, V7 == V12, V12 == V17, V17 == V22, V22 == V27, V27 == V32, V1 == V8, V8 == V13, V13 == V18, V18 == V23, V23 == V28, V28 == V33, V2 == V5, V5 == V9, V9 == V14, V14 == V24, V24 == V29, V29 == V34, V3 == V10, V10 == V15, V15 == V19, V19 == V25, V25 == V30, V30 == V35, V4 == V11, V11 == V16, V16 == V20, V20 == V26, V26 == V31, V31 == V36; #1237 ), references = 1, size of lhs = 10:
% 2.33/2.58 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_0-{F}(V2), P_e_1-{F}(V3), product-{F}(V3,V3,V4), product-{F}(V4,V3,V1), P_e_3-{F}(V5), P_e_4-{F}(V6), product-{F}(V6,V1,V0) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V5)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #1358: mergings( V0 == V8, V8 == V9, V9 == V14, V14 == V18, V18 == V23, V1 == V10, V10 == V15, V15 == V19, V19 == V24, V2 == V5, V5 == V11, V11 == V20, V3 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V4 == V6, V6 == V13, V13 == V17, V17 == V22, V22 == V26; #1334 ), references = 1, size of lhs = 12:
% 2.33/2.58 group_element-{F}(V0), P_e_4-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_2-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_3-{F}(V2), P_e_0-{F}(V3), P_e_1-{F}(V4), product-{F}(V2,V4,V0), product-{F}(V0,V4,V1) | product-{T}(V0,V1,V2), product-{T}(V0,V1,V0)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #1381: mergings( V0 == V8, V8 == V9, V9 == V14, V14 == V18, V18 == V23, V1 == V10, V10 == V15, V15 == V19, V19 == V24, V2 == V5, V5 == V11, V11 == V20, V20 == V25, V3 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V26, V4 == V6, V6 == V13, V13 == V17, V17 == V22; #1335 ), references = 1, size of lhs = 11:
% 2.33/2.58 group_element-{F}(V0), P_e_4-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), product-{F}(V1,V1,V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_3-{F}(V2), P_e_0-{F}(V3), P_e_1-{F}(V4), product-{F}(V2,V4,V0) | product-{T}(V0,V1,V2), product-{T}(V0,V1,V0)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #1407: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V1 == V6, V6 == V8, V8 == V13, V13 == V17, V2 == V5, V5 == V9, V9 == V18, V18 == V22, V3 == V10, V10 == V14, V14 == V19, V19 == V23, V4 == V11, V11 == V15, V15 == V20, V20 == V24; #1385 ), references = 1, size of lhs = 9:
% 2.33/2.58 group_element-{F}(V0), P_e_2-{F}(V0), product-{F}(V0,V0,V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_1-{F}(V1), P_e_0-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4) | product-{T}(V1,V0,V3), product-{T}(V1,V0,V4)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #1427: mergings( V0 == V7, V7 == V12, V12 == V17, V17 == V22, V1 == V6, V6 == V8, V8 == V18, V2 == V9, V9 == V13, V13 == V19, V19 == V23, V3 == V10, V10 == V14, V14 == V20, V20 == V24, V4 == V11, V11 == V15, V15 == V21, V21 == V25; #1386 ), references = 1, size of lhs = 11:
% 2.33/2.58 group_element-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), greater-{F}(V0,V2), product-{F}(V1,V1,V2), cycle-{F}(V2,V3), P_e_0-{F}(V3), P_e_2-{F}(V4), product-{F}(V4,V0,V4), P_e_3-{F}(V5), P_e_4-{F}(V6) | product-{T}(V1,V0,V5), product-{T}(V1,V0,V6)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #1471: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V30 == V35, V1 == V6, V6 == V8, V8 == V13, V13 == V17, V17 == V26, V26 == V31, V2 == V5, V5 == V9, V9 == V18, V18 == V22, V22 == V27, V27 == V32, V32 == V36, V3 == V10, V10 == V14, V14 == V19, V19 == V23, V23 == V28, V28 == V33, V33 == V37, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V34, V34 == V38; #1434 ), references = 1, size of lhs = 11:
% 2.33/2.58 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_1-{F}(V1), P_e_0-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4), product-{F}(V4,V1,V5), product-{F}(V5,V0,V0) | product-{T}(V1,V0,V3)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #1506: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V30 == V35, V1 == V6, V6 == V8, V8 == V13, V13 == V17, V17 == V26, V26 == V31, V31 == V36, V2 == V5, V5 == V9, V9 == V18, V18 == V22, V22 == V27, V27 == V32, V3 == V10, V10 == V14, V14 == V19, V19 == V23, V23 == V28, V28 == V33, V33 == V37, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V34, V34 == V38; #1435 ), references = 1, size of lhs = 11:
% 2.33/2.58 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_1-{F}(V1), P_e_0-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4), product-{F}(V4,V1,V5), product-{F}(V5,V1,V3) | product-{T}(V1,V0,V3)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #1542: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V30 == V35, V1 == V6, V6 == V8, V8 == V13, V13 == V17, V17 == V26, V26 == V31, V31 == V36, V2 == V5, V5 == V9, V9 == V18, V18 == V22, V22 == V27, V27 == V32, V32 == V37, V3 == V10, V10 == V14, V14 == V19, V19 == V23, V23 == V28, V28 == V33, V33 == V38, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V34, V34 == V39; #1436 ), references = 1, size of lhs = 10:
% 2.33/2.58 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_1-{F}(V1), P_e_0-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4), product-{F}(V4,V1,V0) | product-{T}(V1,V0,V3)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #1571: mergings( V0 == V8, V8 == V9, V9 == V14, V14 == V18, V18 == V23, V1 == V10, V10 == V15, V15 == V19, V19 == V24, V2 == V5, V5 == V11, V11 == V20, V3 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V4 == V6, V6 == V13, V13 == V17, V17 == V22, V22 == V26; #1547 ), references = 1, size of lhs = 12:
% 2.33/2.58 group_element-{F}(V0), P_e_4-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_2-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_3-{F}(V2), P_e_0-{F}(V3), P_e_1-{F}(V4), product-{F}(V2,V4,V0), product-{F}(V0,V4,V1) | product-{T}(V0,V1,V2), product-{T}(V0,V1,V0)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #1594: mergings( V0 == V8, V8 == V9, V9 == V14, V14 == V18, V18 == V23, V1 == V10, V10 == V15, V15 == V19, V19 == V24, V2 == V5, V5 == V11, V11 == V20, V20 == V25, V3 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V26, V4 == V6, V6 == V13, V13 == V17, V17 == V22; #1548 ), references = 1, size of lhs = 11:
% 2.33/2.58 group_element-{F}(V0), P_e_4-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), product-{F}(V1,V1,V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_3-{F}(V2), P_e_0-{F}(V3), P_e_1-{F}(V4), product-{F}(V2,V4,V0) | product-{T}(V0,V1,V2), product-{T}(V0,V1,V0)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #1628: mergings( V0 == V7, V7 == V9, V9 == V14, V14 == V18, V18 == V23, V23 == V27, V27 == V32, V8 == V10, V10 == V15, V15 == V19, V19 == V24, V24 == V28, V28 == V33, V1 == V5, V5 == V11, V11 == V20, V20 == V29, V2 == V6, V6 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V30 == V34, V3 == V4, V4 == V13, V13 == V17, V17 == V22, V22 == V26, V26 == V31, V31 == V35; #1596 ), references = 1, size of lhs = 13:
% 2.33/2.58 group_element-{F}(V0), P_e_4-{F}(V0), product-{F}(V0,V0,V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_2-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_3-{F}(V2), P_e_0-{F}(V3), P_e_1-{F}(V4), product-{F}(V2,V4,V0), product-{F}(V0,V4,V1) | product-{T}(V0,V1,V2)
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #1829: mergings( V1 == V10, V10 == V12, V12 == V18, V18 == V21, V21 == V24, V24 == V27, V27 == V31, V31 == V35, V35 == V39, V39 == V43, V43 == V47, V47 == V48, V48 == V52, V52 == V54, V54 == V58, V58 == V61, V61 == V65, V65 == V68, V68 == V72, V72 == V75, V75 == V79, V79 == V82, V82 == V88, V88 == V94, V94 == V97, V97 == V103, V103 == V105, V105 == V106, V106 == V110, V110 == V113, V113 == V117, V117 == V120, V120 == V124, V124 == V127, V127 == V129, V129 == V133, V133 == V135, V135 == V139, V139 == V141, V141 == V145, V145 == V149, V149 == V151, V151 == V154, V154 == V156, V156 == V160, V160 == V162, V162 == V166, V166 == V168, V168 == V172, V172 == V175, V175 == V179, V2 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V22, V22 == V25, V25 == V28, V28 == V32, V32 == V36, V36 == V40, V40 == V44, V44 == V49, V49 == V55, V55 == V62, V62 == V66, V66 == V69, V69 == V73, V73 == V76, V76 == V80, V80 == V85, V85 == V89, V89 == V91, V91 == V95, V95 == V98, V98 == V107, V107 == V111, V111 == V114, V114 == V118, V118 == V121, V121 == V128, V128 == V130, V130 == V136, V136 == V142, V142 == V146, V146 == V155, V155 == V157, V157 == V163, V163 == V169, V169 == V173, V173 == V176, V3 == V4, V4 == V9, V9 == V16, V16 == V19, V19 == V26, V26 == V29, V29 == V33, V33 == V37, V37 == V41, V41 == V45, V45 == V50, V50 == V56, V56 == V60, V60 == V63, V63 == V67, V67 == V70, V70 == V74, V74 == V77, V77 == V81, V81 == V83, V83 == V86, V86 == V92, V92 == V96, V96 == V99, V99 == V101, V101 == V104, V104 == V108, V108 == V115, V115 == V119, V119 == V122, V122 == V125, V125 == V131, V131 == V137, V137 == V143, V143 == V147, V147 == V158, V158 == V164, V164 == V170, V170 == V177, V177 == V180, V5 == V7, V7 == V14, V14 == V17, V17 == V20, V20 == V23, V23 == V30, V30 == V34, V34 == V38, V38 == V42, V42 == V46, V46 == V51, V51 == V53, V53 == V57, V57 == V59, V59 == V64, V64 == V71, V71 == V78, V78 == V84, V84 == V87, V87 == V90, V90 == V93, V93 == V100, V100 == V102, V102 == V109, V109 == V112, V112 == V116, V116 == V123, V123 == V126, V126 == V132, V132 == V134, V134 == V138, V138 == V140, V140 == V144, V144 == V148, V148 == V150, V150 == V152, V152 == V153, V153 == V159, V159 == V161, V161 == V165, V165 == V167, V167 == V171, V171 == V174, V174 == V178, V178 == V181; #1651 ), references = 1, size of lhs = 5:
% 2.33/2.58 P_e_1-{F}(V0), P_e_0-{F}(V1), next-{F}(V1,V0), P_e_2-{F}(V2), P_e_3-{F}(V3) | FALSE
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #1963: mergings( V1 == V8, V8 == V10, V10 == V14, V14 == V16, V16 == V18, V18 == V21, V21 == V24, V24 == V27, V27 == V30, V30 == V33, V33 == V36, V36 == V37, V37 == V40, V40 == V41, V41 == V44, V44 == V46, V46 == V49, V49 == V52, V52 == V55, V55 == V58, V58 == V61, V61 == V64, V64 == V68, V68 == V72, V72 == V75, V75 == V79, V79 == V81, V81 == V82, V82 == V85, V85 == V87, V87 == V90, V90 == V93, V93 == V96, V96 == V98, V98 == V100, V100 == V103, V103 == V104, V104 == V107, V107 == V108, V108 == V111, V111 == V114, V114 == V115, V115 == V116, V116 == V118, V118 == V121, V121 == V122, V122 == V125, V125 == V126, V126 == V129, V129 == V131, V131 == V134, V2 == V5, V5 == V6, V6 == V9, V9 == V11, V11 == V12, V12 == V17, V17 == V19, V19 == V22, V22 == V25, V25 == V28, V28 == V31, V31 == V34, V34 == V38, V38 == V42, V42 == V47, V47 == V50, V50 == V53, V53 == V56, V56 == V59, V59 == V62, V62 == V66, V66 == V69, V69 == V70, V70 == V73, V73 == V76, V76 == V83, V83 == V86, V86 == V88, V88 == V91, V91 == V94, V94 == V99, V99 == V101, V101 == V105, V105 == V109, V109 == V112, V112 == V117, V117 == V119, V119 == V123, V123 == V127, V127 == V130, V130 == V132, V3 == V4, V4 == V7, V7 == V13, V13 == V15, V15 == V20, V20 == V23, V23 == V26, V26 == V29, V29 == V32, V32 == V35, V35 == V39, V39 == V43, V43 == V45, V45 == V48, V48 == V51, V51 == V54, V54 == V57, V57 == V60, V60 == V63, V63 == V65, V65 == V67, V67 == V71, V71 == V74, V74 == V77, V77 == V78, V78 == V80, V80 == V84, V84 == V89, V89 == V92, V92 == V95, V95 == V97, V97 == V102, V102 == V106, V106 == V110, V110 == V113, V113 == V120, V120 == V124, V124 == V128, V128 == V133, V133 == V135; #1830 ), references = 1, size of lhs = 4:
% 2.33/2.58 P_e_1-{F}(V0), P_e_0-{F}(V1), next-{F}(V1,V0), P_e_2-{F}(V2) | FALSE
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #2057: mergings( V1 == V5, V5 == V7, V7 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V26, V26 == V28, V28 == V29, V29 == V31, V31 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V49, V49 == V51, V51 == V53, V53 == V54, V54 == V55, V55 == V57, V57 == V59, V59 == V61, V61 == V63, V63 == V65, V65 == V66, V66 == V68, V68 == V70, V70 == V71, V71 == V73, V73 == V74, V74 == V76, V76 == V78, V78 == V79, V79 == V80, V80 == V82, V82 == V84, V84 == V85, V85 == V87, V87 == V88, V88 == V90, V90 == V92, V92 == V94, V2 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V27, V27 == V30, V30 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V48, V48 == V50, V50 == V52, V52 == V56, V56 == V58, V58 == V60, V60 == V62, V62 == V64, V64 == V67, V67 == V69, V69 == V72, V72 == V75, V75 == V77, V77 == V81, V81 == V83, V83 == V86, V86 == V89, V89 == V91, V91 == V93; #1964 ), references = 1, size of lhs = 3:
% 2.33/2.58 P_e_1-{F}(V0), P_e_0-{F}(V1), next-{F}(V1,V0) | FALSE
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #2111: 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; #2059 ), references = 1, size of lhs = 1:
% 2.33/2.58 P_e_0-{F}(V0) | FALSE
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 #2113: exists( #43, #2059 ), references = 1, size of lhs = 0:
% 2.33/2.58 FALSE | FALSE
% 2.33/2.58 (used 0 times, uses = {})
% 2.33/2.58
% 2.33/2.58 number of learnt formulas = 61
% 2.33/2.58
% 2.33/2.58
% 2.33/2.58 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.33/2.58
% 2.33/2.58 randbase = 1
%------------------------------------------------------------------------------