%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP124-8.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n003.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 06:03:14 EDT 2022
% Result : Unsatisfiable 1.96s 2.12s
% Output : Refutation 1.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP124-8.004 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n003.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 14:11:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.96/2.12 GeoParameters:
% 1.96/2.12
% 1.96/2.12 tptp_input = 1
% 1.96/2.12 tptp_output = 0
% 1.96/2.12 nonempty = 1
% 1.96/2.12 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.96/2.12 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.96/2.12
% 1.96/2.12
% 1.96/2.12 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.96/2.12 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.96/2.12
% 1.96/2.12 RuleSystem INPUT:
% 1.96/2.12
% 1.96/2.12 Initial Rules:
% 1.96/2.12 #0: input, references = 3, size of lhs = 2:
% 1.96/2.12 P_e_0-{F}(V0), P_e_1-{F}(V1) | next-{T}(V0,V1)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #1: input, references = 3, size of lhs = 3:
% 1.96/2.12 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2) | next-{T}(V1,V2)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #2: input, references = 5, size of lhs = 4:
% 1.96/2.12 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | next-{T}(V2,V3)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #3: input, references = 6, size of lhs = 5:
% 1.96/2.12 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)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #4: input, references = 6, size of lhs = 5:
% 1.96/2.12 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)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #5: input, references = 6, size of lhs = 5:
% 1.96/2.12 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)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #6: input, references = 6, size of lhs = 5:
% 1.96/2.12 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)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #7: input, references = 3, size of lhs = 5:
% 1.96/2.12 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)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #8: input, references = 3, size of lhs = 5:
% 1.96/2.12 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)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #9: input, references = 4, size of lhs = 5:
% 1.96/2.12 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)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #10: input, references = 3, size of lhs = 5:
% 1.96/2.12 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)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #11: input, references = 3, size of lhs = 5:
% 1.96/2.12 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)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #12: input, references = 3, size of lhs = 5:
% 1.96/2.12 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)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #13: input, references = 3, size of lhs = 5:
% 1.96/2.12 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)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #14: input, references = 5, size of lhs = 7:
% 1.96/2.12 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)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #15: input, references = 12, size of lhs = 6:
% 1.96/2.12 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)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #16: input, references = 7, size of lhs = 5:
% 1.96/2.12 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)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #17: input, references = 20, size of lhs = 10:
% 1.96/2.12 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)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #18: input, references = 3, size of lhs = 11:
% 1.96/2.12 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
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #19: input, references = 3, size of lhs = 8:
% 1.96/2.12 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
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #20: input, references = 3, size of lhs = 9:
% 1.96/2.12 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)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #21: input, references = 6, size of lhs = 5:
% 1.96/2.12 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)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #22: input, references = 4, size of lhs = 5:
% 1.96/2.12 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)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #23: input, references = 6, size of lhs = 5:
% 1.96/2.12 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)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #24: input, references = 4, size of lhs = 5:
% 1.96/2.12 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)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #25: input, references = 16, size of lhs = 6:
% 1.96/2.12 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
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #26: input, references = 9, size of lhs = 6:
% 1.96/2.12 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
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #27: input, references = 10, size of lhs = 6:
% 1.96/2.12 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
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #28: input, references = 11, size of lhs = 6:
% 1.96/2.12 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
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #29: input, references = 8, size of lhs = 6:
% 1.96/2.12 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
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #30: input, references = 6, size of lhs = 6:
% 1.96/2.12 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
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #31: input, references = 7, size of lhs = 6:
% 1.96/2.12 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
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #32: input, references = 6, size of lhs = 6:
% 1.96/2.12 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
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #33: input, references = 4, size of lhs = 6:
% 1.96/2.12 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
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #34: input, references = 7, size of lhs = 6:
% 1.96/2.12 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
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #35: input, references = 8, size of lhs = 6:
% 1.96/2.12 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
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #36: input, references = 5, size of lhs = 6:
% 1.96/2.12 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
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #37: input, references = 16, size of lhs = 7:
% 1.96/2.12 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) | product1-{T}(V6,V5,V1), product1-{T}(V6,V5,V2), product1-{T}(V6,V5,V3), product1-{T}(V6,V5,V4)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #38: input, references = 6, size of lhs = 7:
% 1.96/2.12 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), product1-{F}(V8,V7,V6), product1-{F}(V8,V7,V5) | equalish-{T}(V6,V5)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #39: input, references = 20, size of lhs = 7:
% 1.96/2.12 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), product1-{F}(V8,V6,V7), product1-{F}(V8,V5,V7) | equalish-{T}(V6,V5)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #40: input, references = 22, size of lhs = 7:
% 1.96/2.12 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), product1-{F}(V6,V7,V8), product1-{F}(V5,V7,V8) | equalish-{T}(V6,V5)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #41: input, references = 10, size of lhs = 6:
% 1.96/2.12 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 | product1-{T}(V5,V5,V5)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #42: input, references = 3, size of lhs = 7:
% 1.96/2.12 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) | product2-{T}(V6,V5,V1), product2-{T}(V6,V5,V2), product2-{T}(V6,V5,V3), product2-{T}(V6,V5,V4)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #43: input, references = 6, size of lhs = 7:
% 1.96/2.12 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), product2-{F}(V8,V7,V6), product2-{F}(V8,V7,V5) | equalish-{T}(V6,V5)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #44: input, references = 3, size of lhs = 7:
% 1.96/2.12 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), product2-{F}(V8,V6,V7), product2-{F}(V8,V5,V7) | equalish-{T}(V6,V5)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #45: input, references = 3, size of lhs = 7:
% 1.96/2.12 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), product2-{F}(V6,V7,V8), product2-{F}(V5,V7,V8) | equalish-{T}(V6,V5)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #46: input, references = 5, size of lhs = 6:
% 1.96/2.12 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 | product2-{T}(V5,V5,V5)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #47: input, references = 6, size of lhs = 7:
% 1.96/2.12 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), product1-{F}(V6,V5,V7), product1-{F}(V5,V8,V6) | product2-{T}(V7,V8,V5)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #48: input, references = 4, size of lhs = 0:
% 1.96/2.12 FALSE | EXISTS V0: P_e_0-{T}(V0)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #49: input, references = 4, size of lhs = 0:
% 1.96/2.12 FALSE | EXISTS V0: P_e_1-{T}(V0)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #50: input, references = 5, size of lhs = 0:
% 1.96/2.12 FALSE | EXISTS V0: P_e_2-{T}(V0)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #51: input, references = 8, size of lhs = 0:
% 1.96/2.12 FALSE | EXISTS V0: P_e_3-{T}(V0)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #52: input, references = 12, size of lhs = 0:
% 1.96/2.12 FALSE | EXISTS V0: P_e_4-{T}(V0)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 number of initial rules = 53
% 1.96/2.12
% 1.96/2.12 Simplifiers:
% 1.96/2.12 #53: unsound, references = 3, size of lhs = 3:
% 1.96/2.12 P_e_0-{F}(V0), P_e_0-{F}(V1), V0 == V1 | FALSE
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #54: unsound, references = 3, size of lhs = 3:
% 1.96/2.12 P_e_1-{F}(V0), P_e_1-{F}(V1), V0 == V1 | FALSE
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #55: unsound, references = 3, size of lhs = 3:
% 1.96/2.12 P_e_2-{F}(V0), P_e_2-{F}(V1), V0 == V1 | FALSE
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #56: unsound, references = 3, size of lhs = 3:
% 1.96/2.12 P_e_3-{F}(V0), P_e_3-{F}(V1), V0 == V1 | FALSE
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #57: unsound, references = 3, size of lhs = 3:
% 1.96/2.12 P_e_4-{F}(V0), P_e_4-{F}(V1), V0 == V1 | FALSE
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 number of simplifiers = 5
% 1.96/2.12
% 1.96/2.12 Learnt:
% 1.96/2.12 #76: mergings( V1 == V5, V5 == V9, V9 == V2, V2 == V6, V6 == V3, V3 == V7, V4 == V8, V8 == V10; #66 ), references = 1, size of lhs = 4:
% 1.96/2.12 P_e_1-{F}(V0), P_e_2-{F}(V0), P_e_0-{F}(V0), P_e_3-{F}(V1) | FALSE
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #85: mergings( V1 == V4, V4 == V7, V7 == V2, V2 == V5, V5 == V3, V3 == V6; #77 ), references = 1, size of lhs = 3:
% 1.96/2.12 P_e_1-{F}(V0), P_e_2-{F}(V0), P_e_0-{F}(V0) | FALSE
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #102: mergings( V1 == V0, V0 == V6, V6 == V10, V2 == V7, V7 == V11, V3 == V8, V8 == V12, V4 == V9, V9 == V13; #92 ), references = 1, size of lhs = 9:
% 1.96/2.12 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)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #123: mergings( V0 == V5, V5 == V14, V14 == V19, V19 == V6, V6 == V10, V10 == V15, V15 == V20, V7 == V11, V11 == V16, V16 == V1, V2 == V8, V8 == V12, V12 == V17, V17 == V21, V3 == V9, V9 == V13, V13 == V18, V18 == V22; #104 ), references = 1, size of lhs = 11:
% 1.96/2.12 group_element-{F}(V0), greater-{F}(V0,V0), next-{F}(V0,V0), P_e_0-{F}(V1), greater-{F}(V1,V1), P_e_1-{F}(V1), P_e_2-{F}(V2), greater-{F}(V2,V1), next-{F}(V2,V3), P_e_3-{F}(V3), P_e_4-{F}(V4) | cycle-{T}(V0,V3)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #164: mergings( V1 == V10, V10 == V13, V13 == V20, V20 == V24, V24 == V28, V28 == V32, V2 == V6, V6 == V8, V8 == V32, V32 == V14, V14 == V17, V17 == V21, V21 == V25, V25 == V29, V29 == V33, V3 == V4, V4 == V9, V9 == V11, V11 == V15, V15 == V18, V18 == V22, V22 == V26, V26 == V30, V30 == V34, V5 == V7, V7 == V12, V12 == V16, V16 == V19, V19 == V23, V23 == V27, V27 == V31, V31 == V35; #131 ), references = 1, size of lhs = 6:
% 1.96/2.12 P_e_0-{F}(V0), next-{F}(V0,V0), P_e_1-{F}(V0), P_e_2-{F}(V1), next-{F}(V1,V2), P_e_3-{F}(V2) | FALSE
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #193: mergings( V1 == V3, V3 == V10, V10 == V12, V12 == V17, V17 == V20, V20 == V23, V23 == V26, V2 == V4, V4 == V7, V7 == V8, V8 == V26, V26 == V13, V13 == V15, V15 == V18, V18 == V21, V21 == V24, V24 == V27, V5 == V6, V6 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V19, V19 == V22, V22 == V25, V25 == V28; #166 ), references = 1, size of lhs = 4:
% 1.96/2.12 P_e_0-{F}(V0), next-{F}(V0,V0), P_e_1-{F}(V0), P_e_2-{F}(V1) | FALSE
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #212: mergings( V1 == V3, V3 == V7, V7 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V2 == V4, V4 == V5, V5 == V6, V6 == V17, V17 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18; #194 ), references = 1, size of lhs = 3:
% 1.96/2.12 P_e_0-{F}(V0), next-{F}(V0,V0), P_e_1-{F}(V0) | FALSE
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #231: mergings( V1 == V5, V5 == V9, V2 == V6, V6 == V10, V3 == V7, V7 == V10, V4 == V8, V8 == V11; #221 ), references = 1, size of lhs = 4:
% 1.96/2.12 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V1), P_e_3-{F}(V2) | FALSE
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #240: mergings( V1 == V4, V4 == V7, V2 == V5, V5 == V8, V3 == V6, V6 == V8; #232 ), references = 1, size of lhs = 3:
% 1.96/2.12 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V1) | FALSE
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #257: mergings( V1 == V5, V5 == V9, V2 == V6, V6 == V10, V9 == V3, V3 == V7, V7 == V4, V4 == V8; #247 ), references = 1, size of lhs = 4:
% 1.96/2.12 P_e_2-{F}(V0), P_e_3-{F}(V0), P_e_0-{F}(V0), P_e_1-{F}(V1) | FALSE
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #289: 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; #268 ), references = 1, size of lhs = 9:
% 1.96/2.12 group_element-{F}(V0), product1-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), product1-{F}(V1,V1,V1), P_e_0-{F}(V2), P_e_2-{F}(V3), P_e_3-{F}(V4) | product1-{T}(V1,V0,V3), product1-{T}(V1,V0,V4)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #311: mergings( V2 == V0, V0 == V14, V14 == V19, V6 == V15, V15 == V1, V1 == V25, V19 == V7, V7 == V16, V16 == V23, V23 == V26, V3 == V8, V8 == V17, V17 == V22, V22 == V27, V4 == V9, V9 == V18, V18 == V24, V24 == V28; #292 ), references = 2, size of lhs = 20:
% 1.96/2.12 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_2-{F}(V5), next-{F}(V0,V6), cycle-{F}(V6,V7), next-{F}(V7,V8), P_e_3-{F}(V8), P_e_1-{F}(V9), greater-{F}(V9,V5), P_e_4-{F}(V10), next-{F}(V0,V11), cycle-{F}(V11,V12), greater-{F}(V0,V13), cycle-{F}(V13,V14), greater-{F}(V14,V12) | cycle-{T}(V0,V8)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #409: mergings( V0 == V6, V6 == V9, V9 == V16, V16 == V21, V21 == V34, V34 == V39, V39 == V46, V46 == V49, V49 == V56, V56 == V61, V61 == V74, V74 == V79, V79 == V86, V86 == V89, V89 == V96, V96 == V101, V101 == V114, V114 == V119, V1 == V10, V10 == V17, V17 == V22, V22 == V28, V28 == V35, V35 == V40, V40 == V50, V50 == V57, V57 == V62, V62 == V68, V68 == V75, V75 == V80, V80 == V90, V90 == V97, V97 == V102, V102 == V108, V108 == V115, V115 == V120, V2 == V11, V11 == V18, V18 == V26, V26 == V29, V29 == V36, V36 == V41, V41 == V51, V51 == V58, V58 == V66, V66 == V69, V69 == V76, V76 == V81, V81 == V119, V119 == V91, V91 == V98, V98 == V106, V106 == V109, V109 == V116, V116 == V121, V3 == V12, V12 == V19, V19 == V25, V25 == V30, V30 == V37, V37 == V42, V42 == V52, V52 == V59, V59 == V65, V65 == V70, V70 == V77, V77 == V82, V82 == V92, V92 == V99, V99 == V105, V105 == V110, V110 == V117, V117 == V122, V4 == V7, V7 == V13, V13 == V20, V20 == V27, V27 == V31, V31 == V38, V38 == V45, V45 == V47, V47 == V53, V53 == V60, V60 == V67, V67 == V71, V71 == V78, V78 == V85, V85 == V87, V87 == V93, V93 == V100, V100 == V107, V107 == V111, V111 == V118, V118 == V125; #314 ), references = 1, size of lhs = 50:
% 1.96/2.12 group_element-{F}(V0), group_element-{F}(V1), greater-{F}(V1,V0), next-{F}(V1,V2), cycle-{F}(V2,V3), next-{F}(V1,V4), cycle-{F}(V4,V5), next-{F}(V5,V6), P_e_3-{F}(V6), next-{F}(V1,V7), cycle-{F}(V7,V8), next-{F}(V1,V9), cycle-{F}(V9,V10), next-{F}(V10,V11), P_e_1-{F}(V11), group_element-{F}(V12), greater-{F}(V12,V0), next-{F}(V12,V13), cycle-{F}(V13,V14), greater-{F}(V11,V14), next-{F}(V12,V15), cycle-{F}(V15,V16), next-{F}(V16,V6), next-{F}(V12,V17), cycle-{F}(V17,V18), greater-{F}(V11,V18), next-{F}(V12,V19), cycle-{F}(V19,V20), next-{F}(V20,V11), group_element-{F}(V21), greater-{F}(V21,V0), next-{F}(V21,V22), cycle-{F}(V22,V23), greater-{F}(V11,V24), greater-{F}(V24,V3), greater-{F}(V24,V8), greater-{F}(V24,V23), P_e_0-{F}(V24), P_e_2-{F}(V24), greater-{F}(V6,V24), next-{F}(V21,V25), cycle-{F}(V25,V26), next-{F}(V26,V6), next-{F}(V21,V27), cycle-{F}(V27,V28), greater-{F}(V24,V28), next-{F}(V21,V29), cycle-{F}(V29,V30), next-{F}(V30,V11), P_e_4-{F}(V31) | cycle-{T}(V0,V6)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #511: mergings( V1 == V10, V10 == V15, V15 == V19, V19 == V23, V23 == V24, V24 == V25, V25 == V32, V32 == V41, V41 == V44, V44 == V45, V45 == V52, V52 == V61, V61 == V64, V64 == V65, V65 == V72, V72 == V81, V81 == V84, V84 == V90, V2 == V6, V6 == V8, V8 == V12, V12 == V16, V16 == V20, V20 == V26, V26 == V29, V29 == V35, V35 == V38, V38 == V42, V42 == V46, V46 == V49, V49 == V55, V55 == V58, V58 == V62, V62 == V66, V66 == V69, V69 == V75, V75 == V78, V78 == V82, V82 == V86, V86 == V87, V87 == V91, V3 == V4, V4 == V9, V9 == V11, V11 == V13, V13 == V17, V17 == V21, V21 == V27, V27 == V30, V30 == V34, V34 == V36, V36 == V39, V39 == V43, V43 == V47, V47 == V50, V50 == V54, V54 == V56, V56 == V59, V59 == V63, V63 == V67, V67 == V70, V70 == V74, V74 == V76, V76 == V79, V79 == V83, V83 == V90, V90 == V88, V88 == V92, V5 == V7, V7 == V14, V14 == V18, V18 == V22, V22 == V28, V28 == V31, V31 == V33, V33 == V37, V37 == V40, V40 == V48, V48 == V51, V51 == V53, V53 == V57, V57 == V60, V60 == V68, V68 == V71, V71 == V73, V73 == V77, V77 == V80, V80 == V85, V85 == V89; #421 ), references = 1, size of lhs = 6:
% 1.96/2.12 P_e_3-{F}(V0), P_e_0-{F}(V1), next-{F}(V1,V0), P_e_2-{F}(V1), P_e_1-{F}(V2), next-{F}(V1,V2) | FALSE
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #584: mergings( V1 == V3, V3 == V10, V10 == V14, V14 == V17, V17 == V20, V20 == V21, V21 == V22, V22 == V27, V27 == V33, V33 == V36, V36 == V37, V37 == V42, V42 == V48, V48 == V51, V51 == V52, V52 == V57, V57 == V63, V63 == V66, V66 == V70, V2 == V4, V4 == V7, V7 == V8, V8 == V12, V12 == V15, V15 == V18, V18 == V23, V23 == V25, V25 == V29, V29 == V31, V31 == V34, V34 == V38, V38 == V40, V40 == V44, V44 == V46, V46 == V49, V49 == V53, V53 == V55, V55 == V59, V59 == V61, V61 == V64, V64 == V67, V67 == V68, V68 == V71, V5 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V19, V19 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V35, V35 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V50, V50 == V54, V54 == V56, V56 == V58, V58 == V60, V60 == V62, V62 == V65, V65 == V70, V70 == V69, V69 == V72; #513 ), references = 1, size of lhs = 4:
% 1.96/2.12 P_e_0-{F}(V0), P_e_2-{F}(V0), P_e_1-{F}(V1), next-{F}(V0,V1) | FALSE
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #599: mergings( V1 == V5, V5 == V9, V2 == V6, V6 == V10, V3 == V7, V7 == V11, V4 == V8, V8 == V11; #589 ), references = 1, size of lhs = 4:
% 1.96/2.12 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V2) | FALSE
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #620: mergings( V1 == V5, V5 == V9, V2 == V6, V6 == V10, V3 == V7, V7 == V11, V4 == V8, V8 == V10; #610 ), references = 1, size of lhs = 4:
% 1.96/2.12 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_3-{F}(V1), P_e_2-{F}(V2) | FALSE
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #635: mergings( V3 == V0, V1 == V6, V6 == V12, V2 == V7, V7 == V13, V0 == V8, V8 == V14, V4 == V9, V9 == V15; #625 ), references = 1, size of lhs = 13:
% 1.96/2.12 group_element-{F}(V0), greater-{F}(V0,V0), P_e_0-{F}(V1), P_e_3-{F}(V1), next-{F}(V0,V2), cycle-{F}(V2,V3), greater-{F}(V1,V3), P_e_1-{F}(V4), P_e_2-{F}(V5), P_e_4-{F}(V6), next-{F}(V0,V7), cycle-{F}(V7,V8), greater-{F}(V1,V8) | cycle-{T}(V0,V4), cycle-{T}(V0,V5)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #656: mergings( V2 == V5, V5 == V18, V18 == V23, V0 == V6, V6 == V12, V12 == V19, V19 == V24, V7 == V13, V13 == V20, V20 == V1, V23 == V8, V8 == V14, V14 == V21, V21 == V27, V3 == V9, V9 == V15, V15 == V22, V22 == V28; #637 ), references = 1, size of lhs = 17:
% 1.96/2.12 group_element-{F}(V0), greater-{F}(V0,V0), next-{F}(V0,V1), cycle-{F}(V1,V2), next-{F}(V0,V3), cycle-{F}(V3,V4), P_e_0-{F}(V5), greater-{F}(V5,V2), greater-{F}(V5,V4), P_e_3-{F}(V5), P_e_1-{F}(V6), P_e_2-{F}(V7), greater-{F}(V7,V5), next-{F}(V0,V8), cycle-{F}(V8,V9), next-{F}(V9,V6), P_e_4-{F}(V10) | cycle-{T}(V0,V6)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #701: mergings( V1 == V13, V13 == V16, V16 == V23, V23 == V27, V27 == V31, V31 == V35, V2 == V6, V6 == V8, V8 == V10, V10 == V14, V14 == V17, V17 == V20, V20 == V24, V24 == V28, V28 == V32, V32 == V36, V3 == V4, V4 == V9, V9 == V11, V11 == V15, V15 == V18, V18 == V21, V21 == V25, V25 == V29, V29 == V33, V33 == V37, V5 == V7, V7 == V12, V12 == V35, V35 == V19, V19 == V22, V22 == V26, V26 == V30, V30 == V34, V34 == V38; #665 ), references = 1, size of lhs = 5:
% 1.96/2.12 P_e_0-{F}(V0), P_e_3-{F}(V0), next-{F}(V0,V1), P_e_1-{F}(V1), P_e_2-{F}(V2) | FALSE
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #732: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V26, V1 == V6, V6 == V8, V8 == V17, V17 == V22, V2 == V9, V9 == V13, V13 == 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; #707 ), references = 1, size of lhs = 10:
% 1.96/2.12 group_element-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), P_e_0-{F}(V2), P_e_2-{F}(V3), product1-{F}(V3,V0,V3), P_e_3-{F}(V4), P_e_4-{F}(V5), product1-{F}(V4,V1,V6), product2-{F}(V6,V0,V3) | product1-{T}(V1,V0,V1), product1-{T}(V1,V0,V5)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #769: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V26, V26 == V31, V31 == V36, V1 == V6, V6 == V8, V8 == V17, V17 == V22, V22 == V32, V32 == V37, V2 == V5, V5 == V9, V9 == V13, V13 == V18, V18 == V23, V23 == V27, V27 == V33, V3 == V10, V10 == V14, V14 == V19, V19 == V24, V24 == V28, V28 == V34, V34 == V38, V4 == V11, V11 == V15, V15 == V20, V20 == V25, V25 == V29, V29 == V35, V35 == V39; #734 ), references = 1, size of lhs = 11:
% 1.96/2.12 group_element-{F}(V0), product1-{F}(V0,V0,V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), product1-{F}(V1,V1,V1), P_e_0-{F}(V2), P_e_3-{F}(V3), product1-{F}(V3,V1,V4), product2-{F}(V4,V0,V0), P_e_4-{F}(V5) | product1-{T}(V1,V0,V5)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #793: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V2 == V5, V5 == V9, V9 == V14, V14 == V18, V3 == V10, V10 == V15, V15 == V19, V19 == V23, V4 == V6, V6 == V11, V11 == V20, V20 == V24; #772 ), references = 1, size of lhs = 9:
% 1.96/2.12 group_element-{F}(V0), product1-{F}(V0,V0,V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), P_e_0-{F}(V2), P_e_1-{F}(V3), product1-{F}(V1,V3,V4), P_e_3-{F}(V4) | product1-{T}(V1,V0,V3), product1-{T}(V1,V0,V1)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #822: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V26, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V27, V2 == V6, V6 == 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; #797 ), references = 1, size of lhs = 10:
% 1.96/2.12 group_element-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_0-{F}(V2), P_e_1-{F}(V3), product1-{F}(V3,V0,V3), P_e_3-{F}(V4), P_e_4-{F}(V5), product1-{F}(V5,V1,V6), product2-{F}(V6,V0,V3) | product1-{T}(V1,V0,V1), product1-{T}(V1,V0,V4)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #859: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V26, V26 == V31, V31 == V36, V1 == V5, V5 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V27, V27 == V32, V2 == V6, V6 == V9, V9 == V18, V18 == V23, V23 == V33, V33 == V37, V3 == V10, V10 == V14, V14 == V19, V19 == V24, V24 == V28, V28 == V34, V34 == V38, V4 == V11, V11 == V15, V15 == V20, V20 == V25, V25 == V29, V29 == V35, V35 == V39; #824 ), references = 1, size of lhs = 11:
% 1.96/2.12 group_element-{F}(V0), product1-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), product1-{F}(V1,V1,V1), P_e_0-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4), product1-{F}(V4,V1,V5), product2-{F}(V5,V0,V0) | product1-{T}(V1,V0,V3)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #929: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V30 == V35, V35 == V39, V39 == V44, V44 == V49, V49 == V53, V53 == V58, V58 == V62, V62 == V67, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V26, V26 == V29, V29 == V31, V31 == V36, V36 == V40, V40 == V45, V45 == V50, V50 == V54, V54 == V63, V63 == V68, V2 == V9, V9 == V14, V14 == V18, V18 == V27, V27 == V5, V5 == V32, V32 == V41, V41 == V46, V46 == V55, V55 == V59, V59 == V64, V3 == V10, V10 == V15, V15 == V19, V19 == V23, V23 == V28, V28 == V33, V33 == V37, V37 == V42, V42 == V47, V47 == V51, V51 == V56, V56 == V60, V60 == V65, V65 == V69, V4 == V6, V6 == V11, V11 == V20, V20 == V24, V24 == V34, V34 == V38, V38 == V43, V43 == V48, V48 == V52, V52 == V57, V57 == V61, V61 == V66, V66 == V70; #862 ), references = 4, size of lhs = 12:
% 1.96/2.12 group_element-{F}(V0), P_e_4-{F}(V0), group_element-{F}(V1), product1-{F}(V1,V1,V1), product2-{F}(V1,V1,V1), P_e_1-{F}(V1), group_element-{F}(V2), product1-{F}(V2,V2,V2), P_e_2-{F}(V2), P_e_0-{F}(V3), P_e_3-{F}(V4), product1-{F}(V0,V1,V4) | product1-{T}(V0,V2,V0)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #1018: mergings( V0 == V7, V7 == V11, V11 == V16, V16 == V20, V20 == V25, V25 == V28, V28 == V32, V32 == V37, V37 == V41, V41 == V46, V46 == V51, V51 == V55, V55 == V60, V60 == V64, V64 == V69, V69 == V72, V72 == V77, V77 == V81, V81 == V86, V1 == V8, V8 == V12, V12 == V17, V17 == V21, V21 == V29, V29 == V5, V5 == V33, V33 == V38, V38 == V42, V42 == V47, V47 == V52, V52 == V56, V56 == V65, V65 == V70, V70 == V73, V73 == V78, V78 == V82, V2 == V9, V9 == V13, V13 == V18, V18 == V22, V22 == V30, V30 == V31, V31 == V34, V34 == V43, V43 == V48, V48 == V57, V57 == V61, V61 == V66, V66 == V74, V74 == V83, V83 == V87, V14 == V19, V19 == V23, V23 == V26, V26 == V3, V3 == V35, V35 == V39, V39 == V44, V44 == V49, V49 == V53, V53 == V58, V58 == V62, V62 == V67, V67 == V71, V71 == V75, V75 == V79, V79 == V84, V84 == V88, V4 == V10, V10 == V6, V6 == V15, V15 == V24, V24 == V27, V27 == V36, V36 == V40, V40 == V45, V45 == V50, V50 == V54, V54 == V59, V59 == V63, V63 == V68, V68 == V76, V76 == V80, V80 == V85, V85 == V89; #932 ), references = 1, size of lhs = 12:
% 1.96/2.12 group_element-{F}(V0), P_e_4-{F}(V0), product1-{F}(V0,V0,V0), group_element-{F}(V1), product1-{F}(V1,V1,V1), product2-{F}(V1,V1,V1), P_e_1-{F}(V1), group_element-{F}(V2), product1-{F}(V2,V2,V2), P_e_2-{F}(V2), P_e_0-{F}(V3), P_e_3-{F}(V4) | product1-{T}(V0,V1,V1), product1-{T}(V0,V1,V2)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #1041: 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; #1021 ), references = 1, size of lhs = 9:
% 1.96/2.12 group_element-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), P_e_0-{F}(V2), P_e_1-{F}(V3), product1-{F}(V3,V0,V3), P_e_2-{F}(V4), P_e_4-{F}(V5), product1-{F}(V5,V0,V4) | product1-{T}(V1,V0,V1), product1-{T}(V1,V0,V5)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #1073: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V30, V1 == V5, V5 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V26, V2 == V9, V9 == V14, V14 == V18, V18 == V23, V23 == V27, V27 == V31, V3 == V6, V6 == V10, V10 == V19, V19 == V28, V28 == V32, V4 == V11, V11 == V15, V15 == V20, V20 == V24, V24 == V29, V29 == V33; #1043 ), references = 2, size of lhs = 10:
% 1.96/2.12 group_element-{F}(V0), product1-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), product1-{F}(V1,V1,V1), P_e_0-{F}(V2), P_e_2-{F}(V3), P_e_4-{F}(V4), product1-{F}(V4,V0,V3) | product1-{T}(V1,V0,V4)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #1096: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V2 == V6, V6 == V9, V9 == V18, V3 == V10, V10 == V14, V14 == V19, V19 == V23, V4 == V11, V11 == V15, V15 == V20, V20 == V24; #1076 ), references = 1, size of lhs = 9:
% 1.96/2.12 group_element-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_0-{F}(V2), P_e_1-{F}(V3), product1-{F}(V3,V0,V3), P_e_3-{F}(V4), product1-{F}(V4,V0,V5), P_e_4-{F}(V5) | product1-{T}(V1,V0,V1), product1-{T}(V1,V0,V4)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #1120: mergings( V0 == V6, V6 == V11, V11 == V17, V17 == V22, V1 == V7, V7 == V12, V12 == V18, V18 == V23, V2 == V8, V8 == V13, V13 == V19, V19 == V24, V9 == V14, V14 == V20, V20 == V3, V4 == V10, V10 == V16, V16 == V21, V21 == V27; #1100 ), references = 1, size of lhs = 13:
% 1.96/2.12 group_element-{F}(V0), next-{F}(V1,V0), cycle-{F}(V1,V2), P_e_3-{F}(V2), P_e_0-{F}(V3), greater-{F}(V2,V3), P_e_1-{F}(V4), next-{F}(V4,V5), P_e_2-{F}(V5), next-{F}(V0,V6), cycle-{F}(V6,V7), next-{F}(V7,V5), P_e_4-{F}(V8) | cycle-{T}(V0,V3), cycle-{T}(V0,V5)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #1145: mergings( V5 == V10, V10 == V16, V16 == V21, V21 == V0, V1 == V6, V6 == V11, V11 == V17, V17 == V22, V22 == V28, V2 == V7, V7 == V12, V12 == V18, V18 == V23, V23 == V29, V8 == V13, V13 == V19, V19 == V24, V24 == V30, V3 == V9, V9 == V15, V15 == V20, V20 == V27, V27 == V31; #1121 ), references = 1, size of lhs = 18:
% 1.96/2.12 group_element-{F}(V0), next-{F}(V1,V0), cycle-{F}(V1,V2), P_e_3-{F}(V2), greater-{F}(V2,V3), P_e_0-{F}(V3), next-{F}(V0,V4), cycle-{F}(V4,V5), next-{F}(V5,V6), P_e_2-{F}(V6), P_e_1-{F}(V7), next-{F}(V7,V6), P_e_4-{F}(V8), next-{F}(V0,V9), cycle-{F}(V9,V10), greater-{F}(V0,V11), cycle-{F}(V11,V12), greater-{F}(V12,V10) | cycle-{T}(V0,V6)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #1169: 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; #1149 ), references = 1, size of lhs = 9:
% 1.96/2.12 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), product1-{F}(V4,V0,V4), P_e_4-{F}(V5), product1-{F}(V5,V0,V3) | product1-{T}(V1,V0,V1), product1-{T}(V1,V0,V5)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #1203: 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; #1172 ), references = 1, size of lhs = 10:
% 1.96/2.12 group_element-{F}(V0), product1-{F}(V0,V0,V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), product1-{F}(V1,V1,V1), P_e_0-{F}(V2), P_e_1-{F}(V3), P_e_4-{F}(V4), product1-{F}(V4,V0,V3) | product1-{T}(V1,V0,V4)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #1232: 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; #1173 ), references = 1, size of lhs = 10:
% 1.96/2.12 group_element-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), P_e_0-{F}(V2), P_e_1-{F}(V3), product1-{F}(V3,V0,V1), P_e_2-{F}(V4), product1-{F}(V4,V0,V4), P_e_4-{F}(V5), product1-{F}(V5,V0,V3) | product1-{T}(V1,V0,V5)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #1288: 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, V3 == V9, V9 == V11, V11 == V15, V15 == V23, V23 == V32, V32 == V36, V36 == V41, V41 == V45, V45 == V50, V50 == V54, V4 == V6, V6 == V10, V10 == V16, V16 == V24, V24 == V28, V28 == V33, V33 == V37, V37 == V42, V42 == V46, V46 == V51, V51 == V55; #1236 ), references = 1, size of lhs = 12:
% 1.96/2.12 group_element-{F}(V0), P_e_4-{F}(V0), product1-{F}(V0,V0,V0), group_element-{F}(V1), product1-{F}(V1,V1,V1), P_e_2-{F}(V1), group_element-{F}(V2), product1-{F}(V2,V2,V2), P_e_3-{F}(V2), P_e_0-{F}(V3), P_e_1-{F}(V4), product1-{F}(V2,V4,V0) | product1-{T}(V0,V1,V1), product1-{T}(V0,V1,V2)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #1353: mergings( V0 == V5, V5 == V12, V12 == V17, V17 == V20, V20 == V25, V25 == V29, V29 == V34, V34 == V38, V38 == V43, V43 == V47, V47 == V52, V52 == V56, V56 == V61, V6 == V13, V13 == V18, V18 == V21, V21 == V26, V26 == V30, V30 == V35, V35 == V39, V39 == V44, V44 == V48, V48 == V53, V53 == V57, V57 == V62, V1 == V7, V7 == V10, V10 == V14, V14 == V19, V19 == V22, V22 == V27, V27 == V31, V31 == V40, V40 == V49, V49 == V58, V2 == V8, V8 == V11, V11 == V15, V15 == V23, V23 == V32, V32 == V36, V36 == V41, V41 == V45, V45 == V50, V50 == V54, V54 == V59, V59 == V63, V3 == V4, V4 == V9, V9 == V16, V16 == V24, V24 == V28, V28 == V33, V33 == V37, V37 == V42, V42 == V46, V46 == V51, V51 == V55, V55 == V60, V60 == V64; #1291 ), references = 1, size of lhs = 13:
% 1.96/2.12 group_element-{F}(V0), product1-{F}(V0,V0,V0), P_e_4-{F}(V0), group_element-{F}(V1), product1-{F}(V1,V1,V1), P_e_2-{F}(V1), group_element-{F}(V2), product1-{F}(V2,V2,V2), P_e_3-{F}(V2), P_e_0-{F}(V3), P_e_1-{F}(V4), product1-{F}(V2,V4,V0), product1-{F}(V0,V4,V1) | product1-{T}(V0,V1,V2)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #1414: mergings( V0 == V5, V5 == V12, V12 == V17, V17 == V20, V20 == V25, V25 == V29, V29 == V34, V34 == V38, V38 == V43, V43 == V47, V47 == V52, V52 == V56, V56 == V61, V6 == V13, V13 == V18, V18 == V21, V21 == V26, V26 == V30, V30 == V35, V35 == V39, V39 == V44, V44 == V48, V48 == V53, V53 == V57, V57 == V62, V1 == V7, V7 == V10, V10 == V14, V14 == V19, V19 == V22, V22 == V27, V27 == V31, V31 == V40, V40 == V49, V49 == V58, V58 == V63, V2 == V8, V8 == V11, V11 == V15, V15 == V23, V23 == V32, V32 == V36, V36 == V41, V41 == V45, V45 == V50, V50 == V54, V54 == V59, V59 == V64, V3 == V4, V4 == V9, V9 == V16, V16 == V24, V24 == V28, V28 == V33, V33 == V37, V37 == V42, V42 == V46, V46 == V51, V51 == V55, V55 == V60; #1292 ), references = 2, size of lhs = 12:
% 1.96/2.12 group_element-{F}(V0), product1-{F}(V0,V0,V0), P_e_4-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), product1-{F}(V1,V1,V1), group_element-{F}(V2), product1-{F}(V2,V2,V2), P_e_3-{F}(V2), P_e_0-{F}(V3), P_e_1-{F}(V4), product1-{F}(V2,V4,V0) | product1-{T}(V0,V1,V2)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #1440: 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; #1418 ), references = 1, size of lhs = 9:
% 1.96/2.12 group_element-{F}(V0), product1-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), product1-{F}(V1,V1,V1), P_e_0-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4) | product1-{T}(V1,V0,V3), product1-{T}(V1,V0,V4)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #1456: mergings( V0 == V14, V14 == V19, V1 == V6, V6 == V15, V15 == V20, V2 == V7, V7 == V16, V16 == V21, V8 == V17, V17 == V3, V4 == V9, V9 == V18, V18 == V24; #1442 ), references = 1, size of lhs = 15:
% 1.96/2.12 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), P_e_2-{F}(V7), P_e_3-{F}(V8), greater-{F}(V8,V5), next-{F}(V0,V9), cycle-{F}(V9,V10), next-{F}(V10,V6), P_e_4-{F}(V11) | cycle-{T}(V0,V6), cycle-{T}(V0,V7)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #1481: mergings( V4 == V13, V13 == V18, V18 == V25, V25 == V30, V0 == V5, V5 == V14, V14 == V19, V19 == V26, V26 == V31, V6 == V15, V15 == V20, V20 == V27, V27 == V1, V7 == V16, V16 == V21, V21 == V28, V28 == V34, V2 == V8, V8 == V17, V17 == V24, V24 == V29, V29 == V35; #1458 ), references = 1, size of lhs = 19:
% 1.96/2.12 group_element-{F}(V0), next-{F}(V0,V1), cycle-{F}(V1,V2), greater-{F}(V0,V3), cycle-{F}(V3,V4), greater-{F}(V4,V2), next-{F}(V0,V5), cycle-{F}(V5,V6), next-{F}(V6,V7), P_e_1-{F}(V7), P_e_0-{F}(V8), P_e_2-{F}(V9), greater-{F}(V9,V8), next-{F}(V0,V10), cycle-{F}(V10,V11), next-{F}(V11,V7), P_e_3-{F}(V12), greater-{F}(V12,V8), P_e_4-{F}(V13) | cycle-{T}(V0,V7)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #1506: 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; #1485 ), references = 1, size of lhs = 9:
% 1.96/2.12 group_element-{F}(V0), P_e_2-{F}(V0), product1-{F}(V0,V0,V0), group_element-{F}(V1), product1-{F}(V1,V1,V1), P_e_1-{F}(V1), P_e_0-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4) | product1-{T}(V1,V0,V3), product1-{T}(V1,V0,V4)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #1523: mergings( V0 == V14, V14 == V19, V1 == V6, V6 == V15, V15 == V20, V2 == V7, V7 == V16, V16 == V21, V3 == V8, V8 == V17, V17 == V24, V4 == V9, V9 == V18, V18 == V23; #1508 ), references = 1, size of lhs = 15:
% 1.96/2.12 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), P_e_2-{F}(V7), greater-{F}(V7,V5), cycle-{F}(V8,V7), next-{F}(V8,V0), P_e_4-{F}(V9), P_e_3-{F}(V10), next-{F}(V10,V9) | cycle-{T}(V0,V6), cycle-{T}(V0,V7)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #1550: mergings( V5 == V14, V14 == V19, V19 == V25, V25 == V30, V0 == V6, V6 == V15, V15 == V20, V20 == V26, V26 == V31, V1 == V7, V7 == V16, V16 == V21, V21 == V27, V27 == V32, V2 == V8, V8 == V17, V17 == V24, V24 == V28, V28 == V34, V3 == V9, V9 == V18, V18 == V23, V23 == V29, V29 == V35; #1525 ), references = 1, size of lhs = 18:
% 1.96/2.12 group_element-{F}(V0), next-{F}(V0,V1), cycle-{F}(V1,V2), greater-{F}(V0,V3), cycle-{F}(V3,V4), greater-{F}(V4,V2), next-{F}(V5,V0), cycle-{F}(V5,V6), P_e_2-{F}(V6), P_e_0-{F}(V7), greater-{F}(V6,V7), P_e_1-{F}(V8), cycle-{F}(V9,V6), next-{F}(V9,V0), next-{F}(V6,V10), P_e_3-{F}(V10), next-{F}(V10,V11), P_e_4-{F}(V11) | cycle-{T}(V0,V8)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #1576: mergings( V0 == V6, V6 == V11, V11 == V17, V17 == V22, V7 == V1, V1 == V18, V18 == V23, V2 == V8, V8 == V14, V14 == V19, V19 == V26, V3 == V9, V9 == V15, V15 == V20, V20 == V25, V4 == V10, V10 == V16, V16 == V21, V21 == V27; #1556 ), references = 1, size of lhs = 13:
% 1.96/2.12 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), cycle-{F}(V6,V5), next-{F}(V6,V0), next-{F}(V3,V7), P_e_3-{F}(V7), P_e_4-{F}(V8) | cycle-{T}(V0,V4), cycle-{T}(V0,V7)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #1606: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V26, V1 == V5, V5 == V8, V8 == V13, V13 == V17, V17 == V22, V2 == V9, V9 == V14, V14 == V18, V18 == V23, V23 == V27, V3 == V10, V10 == V15, V15 == V19, V19 == V24, V24 == V28, V4 == V6, V6 == V11, V11 == V20, V20 == V25, V25 == V29; #1580 ), references = 1, size of lhs = 10:
% 1.96/2.12 group_element-{F}(V0), product1-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), P_e_0-{F}(V2), P_e_2-{F}(V3), P_e_3-{F}(V4), product1-{F}(V0,V5,V1), product2-{F}(V3,V5,V3) | product1-{T}(V1,V0,V4), product1-{T}(V1,V0,V1)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #1649: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V26, V26 == V32, V32 == V33, V33 == V38, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V5, V5 == V34, V34 == V39, V2 == V9, V9 == V14, V14 == V18, V18 == V23, V23 == V27, V27 == V31, V31 == V35, V35 == V40, V10 == V15, V15 == V19, V19 == V24, V24 == V28, V28 == V3, V3 == V36, V36 == V41, V4 == V11, V11 == V20, V20 == V25, V25 == V29, V29 == V6, V6 == V37; #1611 ), references = 1, size of lhs = 14:
% 1.96/2.12 group_element-{F}(V0), P_e_4-{F}(V0), group_element-{F}(V1), product1-{F}(V1,V1,V1), product2-{F}(V1,V1,V1), P_e_1-{F}(V1), product1-{F}(V1,V2,V0), group_element-{F}(V3), product2-{F}(V3,V2,V3), product1-{F}(V3,V3,V3), product1-{F}(V1,V3,V0), P_e_2-{F}(V3), P_e_0-{F}(V4), P_e_3-{F}(V5) | product1-{T}(V0,V1,V0)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #1686: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V26, V26 == V32, V32 == V33, V33 == V38, V1 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V5, V5 == V34, V34 == V39, V2 == V9, V9 == V14, V14 == V18, V18 == V23, V23 == V27, V27 == V31, V31 == V35, V10 == V15, V15 == V19, V19 == V24, V24 == V28, V28 == V3, V3 == V36, V36 == V40, V4 == V11, V11 == V20, V20 == V25, V25 == V29, V29 == V6, V6 == V37, V37 == V41; #1612 ), references = 1, size of lhs = 14:
% 1.96/2.12 group_element-{F}(V0), P_e_4-{F}(V0), product1-{F}(V0,V0,V0), group_element-{F}(V1), product1-{F}(V1,V1,V1), product2-{F}(V1,V1,V1), P_e_1-{F}(V1), product1-{F}(V1,V2,V0), group_element-{F}(V3), product2-{F}(V3,V2,V3), product1-{F}(V3,V3,V3), P_e_2-{F}(V3), P_e_0-{F}(V4), P_e_3-{F}(V5) | product1-{T}(V0,V1,V0)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #1756: mergings( V0 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V29, V29 == V34, V34 == V38, V38 == V43, V43 == V48, V48 == V52, V52 == V54, V54 == V59, V59 == V62, V62 == V67, V1 == V8, V8 == V13, V13 == V17, V17 == V26, V26 == V30, V30 == V35, V35 == V39, V39 == V44, V44 == V6, V6 == V55, V55 == V63, V2 == V9, V9 == V18, V18 == V22, V22 == V27, V27 == V31, V31 == V36, V36 == V40, V40 == V45, V45 == V49, V49 == V5, V5 == V56, V56 == V60, V60 == V64, V64 == V68, V3 == V10, V10 == V14, V14 == V19, V19 == V23, V23 == V32, V32 == V37, V37 == V41, V41 == V46, V46 == V50, V50 == V53, V53 == V57, V57 == V61, V61 == V65, V65 == V69, V11 == V15, V15 == V20, V20 == V24, V24 == V28, V28 == V33, V33 == V42, V42 == V47, V47 == V51, V51 == V4, V4 == V58, V58 == V66, V66 == V70; #1689 ), references = 1, size of lhs = 13:
% 1.96/2.12 group_element-{F}(V0), P_e_4-{F}(V0), product1-{F}(V0,V0,V0), group_element-{F}(V1), product1-{F}(V1,V1,V1), product2-{F}(V1,V1,V1), P_e_1-{F}(V1), group_element-{F}(V2), product2-{F}(V2,V2,V2), product1-{F}(V2,V2,V2), P_e_2-{F}(V2), P_e_0-{F}(V3), P_e_3-{F}(V4) | product1-{T}(V1,V2,V4)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #1782: mergings( V0 == V6, V6 == V11, V11 == V17, V17 == V22, V7 == V1, V1 == V18, V18 == V23, V2 == V8, V8 == V14, V14 == V19, V19 == V26, V3 == V9, V9 == V15, V15 == V20, V20 == V25, V4 == V10, V10 == V16, V16 == V21, V21 == V27; #1762 ), references = 1, size of lhs = 13:
% 1.96/2.12 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), cycle-{F}(V6,V5), next-{F}(V6,V0), next-{F}(V3,V7), P_e_3-{F}(V7), P_e_4-{F}(V8) | cycle-{T}(V0,V4), cycle-{T}(V0,V7)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #1814: mergings( V0 == V5, V5 == V10, V10 == V17, V17 == V22, V22 == V28, V28 == V33, V6 == V11, V11 == V18, V18 == V23, V23 == V29, V29 == V34, V1 == V7, V7 == V14, V14 == V19, V19 == V26, V26 == V30, V30 == V37, V2 == V8, V8 == V15, V15 == V20, V20 == V25, V25 == V31, V31 == V38, V3 == V9, V9 == V16, V16 == V21, V21 == V27, V27 == V32, V32 == V36; #1784 ), references = 1, size of lhs = 16:
% 1.96/2.12 group_element-{F}(V0), next-{F}(V0,V1), cycle-{F}(V1,V2), next-{F}(V2,V3), P_e_2-{F}(V3), next-{F}(V4,V0), cycle-{F}(V4,V5), P_e_1-{F}(V5), next-{F}(V3,V6), P_e_3-{F}(V6), P_e_0-{F}(V7), greater-{F}(V5,V7), cycle-{F}(V8,V5), next-{F}(V8,V0), next-{F}(V6,V9), P_e_4-{F}(V9) | cycle-{T}(V0,V7)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #1841: mergings( V0 == V8, V8 == V9, V9 == V14, V14 == V18, V18 == V23, V1 == V5, V5 == V10, V10 == V15, V15 == V19, V2 == V7, V7 == V11, V11 == V20, V20 == V24, V3 == V12, V12 == V16, V16 == V21, V21 == V25, V4 == V6, V6 == V13, V13 == V17, V17 == V22, V22 == V26; #1818 ), references = 1, size of lhs = 12:
% 1.96/2.12 group_element-{F}(V0), P_e_4-{F}(V0), product1-{F}(V0,V0,V0), group_element-{F}(V1), product1-{F}(V1,V1,V1), product2-{F}(V1,V1,V1), P_e_1-{F}(V1), group_element-{F}(V2), product1-{F}(V2,V2,V2), P_e_2-{F}(V2), P_e_0-{F}(V3), P_e_3-{F}(V4) | product1-{T}(V0,V1,V1), product1-{T}(V0,V1,V2)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #1881: mergings( V0 == V7, V7 == V9, V9 == V14, V14 == V18, V18 == V23, V23 == V27, V27 == V30, V30 == V31, V31 == V36, V1 == V10, V10 == V15, V15 == V19, V19 == V5, V5 == V32, V32 == V37, V6 == V11, V11 == V20, V20 == V24, V24 == V2, V2 == V28, V28 == V33, V33 == V38, V8 == V12, V12 == V16, V16 == V21, V21 == V25, V25 == V29, V29 == V34, V34 == V39, V3 == V13, V13 == V17, V17 == V22, V22 == V26, V26 == V4, V4 == V35; #1845 ), references = 1, size of lhs = 15:
% 1.96/2.12 group_element-{F}(V0), product2-{F}(V0,V0,V0), product1-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), product1-{F}(V1,V1,V1), P_e_4-{F}(V1), group_element-{F}(V2), product1-{F}(V2,V2,V2), P_e_2-{F}(V2), group_element-{F}(V3), product1-{F}(V3,V3,V3), product1-{F}(V0,V2,V3), P_e_3-{F}(V3), P_e_0-{F}(V4) | product1-{T}(V1,V0,V0)
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #2013: mergings( V1 == V4, V4 == V7, V7 == V10, V10 == V14, V14 == V18, V18 == V22, V22 == V26, V26 == V30, V30 == V34, V34 == V38, V38 == V39, V39 == V43, V43 == V45, V45 == V49, V49 == V51, V51 == V52, V52 == V56, V56 == V59, V59 == V63, V63 == V67, V67 == V69, V69 == V71, V71 == V75, V75 == V78, V78 == V82, V82 == V85, V85 == V86, V86 == V88, V88 == V92, V92 == V95, V95 == V99, V99 == V103, V103 == V107, V107 == V108, V108 == V112, V112 == V115, V115 == V119, V5 == V8, V8 == V11, V11 == V15, V15 == V19, V19 == V23, V23 == V27, V27 == V31, V31 == V35, V35 == V40, V40 == V46, V46 == V53, V53 == V60, V60 == V64, V64 == V72, V72 == V79, V79 == V89, V89 == V93, V93 == V96, V96 == V102, V102 == V109, V109 == V116, V2 == V9, V9 == V12, V12 == V16, V16 == V20, V20 == V24, V24 == V28, V28 == V32, V32 == V36, V36 == V41, V41 == V47, V47 == V54, V54 == V57, V57 == V61, V61 == V65, V65 == V73, V73 == V76, V76 == V80, V80 == V83, V83 == V90, V90 == V97, V97 == V100, V100 == V104, V104 == V105, V105 == V110, V110 == V113, V113 == V117, V117 == V120, V3 == V6, V6 == V13, V13 == V17, V17 == V21, V21 == V25, V25 == V29, V29 == V33, V33 == V37, V37 == V42, V42 == V44, V44 == V48, V48 == V50, V50 == V55, V55 == V58, V58 == V62, V62 == V66, V66 == V68, V68 == V70, V70 == V74, V74 == V77, V77 == V81, V81 == V84, V84 == V87, V87 == V91, V91 == V94, V94 == V98, V98 == V101, V101 == V106, V106 == V111, V111 == V114, V114 == V118, V118 == V121; #1895 ), references = 1, size of lhs = 4:
% 1.96/2.12 P_e_1-{F}(V0), P_e_0-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | FALSE
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #2100: mergings( V1 == V3, V3 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V23, V23 == V26, V26 == V29, V29 == V30, V30 == V33, V33 == V34, V34 == V37, V37 == V38, V38 == V39, V39 == V42, V42 == V44, V44 == V47, V47 == V50, V50 == V51, V51 == V52, V52 == V55, V55 == V57, V57 == V60, V60 == V62, V62 == V63, V63 == V64, V64 == V67, V67 == V69, V69 == V72, V72 == V75, V75 == V78, V78 == V79, V79 == V82, V82 == V84, V84 == V87, V4 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V21, V21 == V24, V24 == V27, V27 == V31, V31 == V35, V35 == V40, V40 == V45, V45 == V48, V48 == V53, V53 == V58, V58 == V65, V65 == V68, V68 == V70, V70 == V74, V74 == V80, V80 == V85, V2 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V22, V22 == V25, V25 == V28, V28 == V32, V32 == V36, V36 == V41, V41 == V43, V43 == V46, V46 == V49, V49 == V54, V54 == V56, V56 == V59, V59 == V61, V61 == V66, V66 == V71, V71 == V73, V73 == V76, V76 == V77, V77 == V81, V81 == V83, V83 == V86, V86 == V88; #2014 ), references = 1, size of lhs = 3:
% 1.96/2.12 P_e_1-{F}(V0), P_e_0-{F}(V1), P_e_2-{F}(V2) | FALSE
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #2160: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V21, V21 == V23, V23 == V24, V24 == V26, V26 == V27, V27 == V28, V28 == V30, V30 == V31, V31 == V33, V33 == V35, V35 == V36, V36 == V37, V37 == V39, V39 == V40, V40 == V42, V42 == V43, V43 == V44, V44 == V45, V45 == V47, V47 == V49, V49 == V51, V51 == V53, V53 == V54, V54 == V55, V55 == V57, V57 == V58, V58 == V60, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V22, V22 == V25, V25 == V29, V29 == V32, V32 == V34, V34 == V38, V38 == V41, V41 == V46, V46 == V48, V48 == V50, V50 == V52, V52 == V56, V56 == V59; #2101 ), references = 1, size of lhs = 2:
% 1.96/2.12 P_e_1-{F}(V0), P_e_0-{F}(V1) | FALSE
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #2199: 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; #2161 ), references = 1, size of lhs = 1:
% 1.96/2.12 P_e_0-{F}(V0) | FALSE
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 #2201: exists( #48, #2161 ), references = 1, size of lhs = 0:
% 1.96/2.12 FALSE | FALSE
% 1.96/2.12 (used 0 times, uses = {})
% 1.96/2.12
% 1.96/2.12 number of learnt formulas = 58
% 1.96/2.12
% 1.96/2.12
% 1.96/2.12 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.96/2.12
% 1.96/2.12 randbase = 1
%------------------------------------------------------------------------------