TSTP Solution File: GRP124-7.004 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP124-7.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:03:13 EDT 2022
% Result : Unsatisfiable 1.46s 1.67s
% Output : Refutation 1.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP124-7.004 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 14:07:18 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.46/1.67 GeoParameters:
% 1.46/1.67
% 1.46/1.67 tptp_input = 1
% 1.46/1.67 tptp_output = 0
% 1.46/1.67 nonempty = 1
% 1.46/1.67 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.46/1.67 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.46/1.67
% 1.46/1.67
% 1.46/1.67 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.46/1.67 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.46/1.67
% 1.46/1.67 RuleSystem INPUT:
% 1.46/1.67
% 1.46/1.67 Initial Rules:
% 1.46/1.67 #0: input, references = 3, size of lhs = 2:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1) | next-{T}(V0,V1)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #1: input, references = 3, size of lhs = 3:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2) | next-{T}(V1,V2)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #2: input, references = 3, size of lhs = 4:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | next-{T}(V2,V3)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #3: input, references = 3, size of lhs = 4:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | greater-{T}(V1,V0)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #4: input, references = 3, size of lhs = 4:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | greater-{T}(V2,V0)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #5: input, references = 3, size of lhs = 4:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | greater-{T}(V3,V0)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #6: input, references = 3, size of lhs = 4:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | greater-{T}(V2,V1)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #7: input, references = 3, size of lhs = 4:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | greater-{T}(V3,V1)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #8: input, references = 3, size of lhs = 4:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | greater-{T}(V3,V2)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #9: input, references = 3, size of lhs = 7:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), greater-{F}(V4,V5), product-{F}(V6,V0,V4), next-{F}(V6,V5) | FALSE
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #10: input, references = 4, size of lhs = 4:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | group_element-{T}(V0)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #11: input, references = 4, size of lhs = 4:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | group_element-{T}(V1)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #12: input, references = 4, size of lhs = 4:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | group_element-{T}(V2)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #13: input, references = 4, size of lhs = 4:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | group_element-{T}(V3)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #14: input, references = 14, size of lhs = 5:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V0,V1) | FALSE
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #15: input, references = 6, size of lhs = 5:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V0,V2) | FALSE
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #16: input, references = 9, size of lhs = 5:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V0,V3) | FALSE
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #17: input, references = 9, size of lhs = 5:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V1,V0) | FALSE
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #18: input, references = 9, size of lhs = 5:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V1,V2) | FALSE
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #19: input, references = 8, size of lhs = 5:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V1,V3) | FALSE
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #20: input, references = 5, size of lhs = 5:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V2,V0) | FALSE
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #21: input, references = 4, size of lhs = 5:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V2,V1) | FALSE
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #22: input, references = 4, size of lhs = 5:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V2,V3) | FALSE
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #23: input, references = 5, size of lhs = 5:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V3,V0) | FALSE
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #24: input, references = 5, size of lhs = 5:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V3,V1) | FALSE
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #25: input, references = 5, size of lhs = 5:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V3,V2) | FALSE
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #26: input, references = 17, size of lhs = 6:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), group_element-{F}(V4), group_element-{F}(V5) | product1-{T}(V5,V4,V0), product1-{T}(V5,V4,V1), product1-{T}(V5,V4,V2), product1-{T}(V5,V4,V3)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #27: input, references = 5, size of lhs = 6:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), product1-{F}(V7,V6,V4), product1-{F}(V7,V6,V5) | equalish-{T}(V4,V5)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #28: input, references = 18, size of lhs = 6:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), product1-{F}(V7,V4,V6), product1-{F}(V7,V5,V6) | equalish-{T}(V4,V5)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #29: input, references = 29, size of lhs = 6:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), product1-{F}(V4,V6,V7), product1-{F}(V5,V6,V7) | equalish-{T}(V4,V5)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #30: input, references = 9, size of lhs = 5:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), #-{F} V4 | product1-{T}(V4,V4,V4)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #31: input, references = 3, size of lhs = 6:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), group_element-{F}(V4), group_element-{F}(V5) | product2-{T}(V5,V4,V0), product2-{T}(V5,V4,V1), product2-{T}(V5,V4,V2), product2-{T}(V5,V4,V3)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #32: input, references = 7, size of lhs = 6:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), product2-{F}(V7,V6,V4), product2-{F}(V7,V6,V5) | equalish-{T}(V4,V5)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #33: input, references = 3, size of lhs = 6:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), product2-{F}(V7,V4,V6), product2-{F}(V7,V5,V6) | equalish-{T}(V4,V5)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #34: input, references = 3, size of lhs = 6:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), product2-{F}(V4,V6,V7), product2-{F}(V5,V6,V7) | equalish-{T}(V4,V5)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #35: input, references = 5, size of lhs = 5:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), #-{F} V4 | product2-{T}(V4,V4,V4)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #36: input, references = 7, size of lhs = 6:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), product1-{F}(V5,V4,V6), product1-{F}(V4,V7,V5) | product2-{T}(V6,V7,V4)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #37: input, references = 4, size of lhs = 0:
% 1.46/1.67 FALSE | EXISTS V0: P_e_1-{T}(V0)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #38: input, references = 4, size of lhs = 0:
% 1.46/1.67 FALSE | EXISTS V0: P_e_2-{T}(V0)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #39: input, references = 5, size of lhs = 0:
% 1.46/1.67 FALSE | EXISTS V0: P_e_3-{T}(V0)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #40: input, references = 5, size of lhs = 0:
% 1.46/1.67 FALSE | EXISTS V0: P_e_4-{T}(V0)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 number of initial rules = 41
% 1.46/1.67
% 1.46/1.67 Simplifiers:
% 1.46/1.67 #41: unsound, references = 3, size of lhs = 3:
% 1.46/1.67 P_e_1-{F}(V0), P_e_1-{F}(V1), V0 == V1 | FALSE
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #42: unsound, references = 3, size of lhs = 3:
% 1.46/1.67 P_e_2-{F}(V0), P_e_2-{F}(V1), V0 == V1 | FALSE
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #43: unsound, references = 3, size of lhs = 3:
% 1.46/1.67 P_e_3-{F}(V0), P_e_3-{F}(V1), V0 == V1 | FALSE
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #44: unsound, references = 3, size of lhs = 3:
% 1.46/1.67 P_e_4-{F}(V0), P_e_4-{F}(V1), V0 == V1 | FALSE
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 number of simplifiers = 4
% 1.46/1.67
% 1.46/1.67 Learnt:
% 1.46/1.67 #60: mergings( V1 == V4, V4 == V7, V2 == V5, V5 == V7, V3 == V6, V6 == V8; #51 ), references = 1, size of lhs = 3:
% 1.46/1.68 P_e_1-{F}(V0), P_e_2-{F}(V0), P_e_3-{F}(V1) | FALSE
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #67: mergings( V1 == V4, V4 == V7, V2 == V5, V5 == V8, V3 == V6, V6 == V7; #52 ), references = 1, size of lhs = 3:
% 1.46/1.68 P_e_1-{F}(V0), P_e_3-{F}(V0), P_e_2-{F}(V1) | FALSE
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #74: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V5; #68 ), references = 1, size of lhs = 2:
% 1.46/1.68 P_e_1-{F}(V0), P_e_2-{F}(V0) | FALSE
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #106: mergings( V0 == V4, V4 == V6, V6 == V10, V10 == V13, V1 == V5, V5 == V7, V7 == V14, V14 == V17, V2 == V8, V8 == V11, V11 == V15, V15 == V18, V3 == V9, V9 == V12, V12 == V16, V16 == V19; #88 ), references = 1, size of lhs = 8:
% 1.46/1.68 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_3-{F}(V2), P_e_4-{F}(V3) | product1-{T}(V1,V0,V2), product1-{T}(V1,V0,V3)
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #126: mergings( V0 == V4, V4 == V6, V6 == V10, V10 == V13, V1 == V7, V7 == V11, V11 == V14, V14 == V17, V2 == V8, V8 == V12, V12 == V15, V15 == V18, V3 == V5, V5 == V9, V9 == V16, V16 == V19; #109 ), references = 1, size of lhs = 8:
% 1.46/1.68 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), product1-{F}(V1,V1,V1), P_e_2-{F}(V2), product1-{F}(V2,V0,V3), P_e_3-{F}(V3) | product1-{T}(V1,V0,V0), product1-{T}(V1,V0,V2)
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #145: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V1 == V7, V7 == V11, V11 == V14, V14 == V18, V2 == V5, V5 == V8, V8 == V15, V3 == V9, V9 == V12, V12 == V16, V16 == V19; #129 ), references = 1, size of lhs = 8:
% 1.46/1.68 group_element-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), P_e_1-{F}(V2), product1-{F}(V2,V0,V2), P_e_2-{F}(V3), P_e_4-{F}(V4), product1-{F}(V4,V0,V3) | product1-{T}(V1,V0,V1), product1-{T}(V1,V0,V4)
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #172: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V20, V20 == V24, V1 == V7, V7 == V11, V11 == V14, V14 == V18, V18 == V21, V21 == V25, V2 == V5, V5 == V8, V8 == V15, V15 == V22, V3 == V9, V9 == V12, V12 == V16, V16 == V19, V19 == V23, V23 == V26; #148 ), references = 1, size of lhs = 9:
% 1.46/1.68 group_element-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), P_e_1-{F}(V2), product1-{F}(V2,V0,V2), P_e_2-{F}(V3), product1-{F}(V3,V0,V1), P_e_4-{F}(V4), product1-{F}(V4,V0,V3) | product1-{T}(V1,V0,V4)
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #196: mergings( V0 == V4, V4 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V20, V1 == V7, V7 == V11, V11 == V14, V14 == V18, V18 == V21, V21 == V24, V2 == V5, V5 == V8, V8 == V15, V15 == V22, V22 == V25, V3 == V9, V9 == V12, V12 == V16, V16 == V19, V19 == V23, V23 == V26; #149 ), references = 3, size of lhs = 9:
% 1.46/1.68 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_2-{F}(V2), P_e_4-{F}(V3), product1-{F}(V3,V0,V2) | product1-{T}(V1,V0,V3)
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #220: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V1 == V4, V4 == V7, V7 == V11, V11 == V14, V2 == V5, V5 == V8, V8 == V15, V15 == V18, V3 == V9, V9 == V12, V12 == V16, V16 == V19; #203 ), references = 1, size of lhs = 8:
% 1.46/1.68 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), P_e_1-{F}(V2), product1-{F}(V1,V2,V3), product1-{F}(V3,V0,V2), P_e_4-{F}(V3) | product1-{T}(V1,V0,V0), product1-{T}(V1,V0,V1)
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #248: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V20, V20 == V24, V1 == V4, V4 == V7, V7 == V11, V11 == V14, V14 == V21, V2 == V5, V5 == V8, V8 == V15, V15 == V18, V18 == V22, V22 == V25, V3 == V9, V9 == V12, V12 == V16, V16 == V19, V19 == V23, V23 == V26; #223 ), references = 2, size of lhs = 9:
% 1.46/1.68 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), product1-{F}(V1,V1,V1), P_e_1-{F}(V2), product1-{F}(V1,V2,V3), product1-{F}(V3,V0,V2), P_e_4-{F}(V3) | product1-{T}(V1,V0,V0)
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #272: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V20, V20 == V24, V1 == V4, V4 == V7, V7 == V11, V11 == V14, V14 == V21, V21 == V25, V2 == V5, V5 == V8, V8 == V15, V15 == V18, V18 == V22, V3 == V9, V9 == V12, V12 == V16, V16 == V19, V19 == V23, V23 == V26; #224 ), references = 1, size of lhs = 9:
% 1.46/1.68 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), P_e_1-{F}(V2), product1-{F}(V2,V0,V1), product1-{F}(V1,V2,V3), product1-{F}(V3,V0,V2), P_e_4-{F}(V3) | product1-{T}(V1,V0,V0)
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #317: mergings( V0 == V10, V10 == V14, V14 == V16, V16 == V20, V20 == V23, V23 == V27, V27 == V30, V30 == V34, V34 == V37, V37 == V41, V1 == V6, V6 == V4, V4 == V11, V11 == V15, V15 == V17, V17 == V24, V24 == V31, V31 == V35, V35 == V38, V38 == V42, V2 == V7, V7 == V9, V9 == V12, V12 == V18, V18 == V21, V21 == V25, V25 == V28, V28 == V32, V32 == V39, V39 == V43, V3 == V5, V5 == V8, V8 == V13, V13 == V19, V19 == V22, V22 == V26, V26 == V29, V29 == V33, V33 == V36, V36 == V40; #275 ), references = 1, size of lhs = 10:
% 1.46/1.68 group_element-{F}(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_1-{F}(V3), product1-{F}(V2,V3,V0) | product1-{T}(V0,V1,V2), product1-{T}(V0,V1,V0)
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #358: mergings( V0 == V10, V10 == V14, V14 == V16, V16 == V20, V20 == V23, V23 == V27, V27 == V30, V30 == V34, V34 == V37, V37 == V41, V1 == V6, V6 == V4, V4 == V11, V11 == V15, V15 == V17, V17 == V24, V24 == V31, V31 == V35, V35 == V38, V2 == V7, V7 == V9, V9 == V12, V12 == V18, V18 == V21, V21 == V25, V25 == V28, V28 == V32, V32 == V39, V39 == V42, V3 == V5, V5 == V8, V8 == V13, V13 == V19, V19 == V22, V22 == V26, V26 == V29, V29 == V33, V33 == V36, V36 == V40, V40 == V43; #276 ), references = 1, size of lhs = 11:
% 1.46/1.68 group_element-{F}(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_1-{F}(V3), product1-{F}(V2,V3,V0), product1-{F}(V0,V3,V1) | product1-{T}(V0,V1,V2), product1-{T}(V0,V1,V0)
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #383: mergings( V0 == V5, V5 == V6, V6 == V10, V10 == V13, V13 == V17, V1 == V4, V4 == V7, V7 == V14, V14 == V18, V18 == V21, V2 == V8, V8 == V11, V11 == V15, V15 == V19, V19 == V22, V3 == V9, V9 == V12, V12 == V16, V16 == V20, V20 == V23; #362 ), references = 1, size of lhs = 9:
% 1.46/1.68 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product1-{F}(V1,V1,V1), P_e_1-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), product1-{F}(V3,V1,V4), product2-{F}(V4,V0,V0) | product1-{T}(V1,V0,V0), product1-{T}(V1,V0,V2)
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #404: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V1 == V7, V7 == V11, V11 == V14, V14 == V18, V2 == V8, V8 == V12, V12 == V15, V15 == V19, V3 == V5, V5 == V9, V9 == V16; #387 ), references = 1, size of lhs = 8:
% 1.46/1.68 group_element-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), P_e_1-{F}(V2), product1-{F}(V2,V0,V3), P_e_3-{F}(V3), P_e_2-{F}(V4), product1-{F}(V4,V0,V4) | product1-{T}(V1,V0,V2), product1-{T}(V1,V0,V1)
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #421: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V1 == V4, V4 == V7, V7 == V14, V14 == V18, V2 == V8, V8 == V11, V11 == V15, V15 == V19, V3 == V5, V5 == V9, V9 == V12, V12 == V16; #388 ), references = 1, size of lhs = 8:
% 1.46/1.68 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), P_e_1-{F}(V2), product1-{F}(V1,V2,V0), product1-{F}(V2,V0,V3), P_e_3-{F}(V3) | product1-{T}(V1,V0,V2), product1-{T}(V1,V0,V1)
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #447: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V20, V20 == V24, V1 == V4, V4 == V7, V7 == V11, V11 == V14, V14 == V18, V18 == V21, V2 == V8, V8 == V12, V12 == V15, V15 == V19, V19 == V22, V22 == V25, V3 == V5, V5 == V9, V9 == V16, V16 == V23, V23 == V26; #423 ), references = 2, size of lhs = 9:
% 1.46/1.68 group_element-{F}(V0), product1-{F}(V0,V0,V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), product1-{F}(V1,V1,V1), P_e_1-{F}(V2), product1-{F}(V2,V0,V3), P_e_3-{F}(V3) | product1-{T}(V1,V0,V2)
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #504: mergings( V0 == V5, V5 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V28, V28 == V32, V32 == V35, V35 == V41, V41 == V45, V45 == V49, V49 == V50, V50 == V54, V1 == V7, V7 == V14, V14 == V18, V18 == V21, V21 == V25, V25 == V29, V29 == V33, V33 == V36, V36 == V39, V39 == V42, V42 == V4, V4 == V51, V51 == V55, V8 == V11, V11 == V15, V15 == V19, V19 == V22, V22 == V2, V2 == V30, V30 == V34, V34 == V37, V37 == V40, V40 == V43, V43 == V46, V46 == V48, V48 == V52, V3 == V9, V9 == V12, V12 == V16, V16 == V20, V20 == V23, V23 == V26, V26 == V27, V27 == V31, V31 == V38, V38 == V44, V44 == V47, V47 == V53, V53 == V56; #451 ), references = 1, size of lhs = 15:
% 1.46/1.68 group_element-{F}(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), product1-{F}(V1,V0,V2), group_element-{F}(V3), product2-{F}(V2,V3,V3), P_e_2-{F}(V3), product1-{F}(V3,V3,V3), group_element-{F}(V4), product1-{F}(V4,V4,V4), product1-{F}(V4,V0,V1), P_e_3-{F}(V4) | product1-{T}(V0,V3,V3)
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #607: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V20, V20 == V22, V22 == V26, V26 == V29, V29 == V33, V33 == V35, V35 == V39, V39 == V42, V42 == V4, V4 == V44, V44 == V48, V48 == V51, V51 == V55, V55 == V66, V66 == V70, V70 == V73, V73 == V79, V79 == V83, V83 == V88, V88 == V92, V92 == V95, V7 == V11, V11 == V14, V14 == V17, V17 == V1, V1 == V23, V23 == V27, V27 == V30, V30 == V34, V34 == V36, V36 == V40, V40 == V43, V43 == V45, V45 == V52, V52 == V56, V56 == V59, V59 == V62, V62 == V67, V67 == V71, V71 == V74, V74 == V77, V77 == V80, V80 == V86, V86 == V89, V89 == V93, V93 == V96, V96 == V99, V2 == V8, V8 == V12, V12 == V15, V15 == V18, V18 == V21, V21 == V24, V24 == V31, V31 == V37, V37 == V46, V46 == V49, V49 == V53, V53 == V57, V57 == V60, V60 == V63, V63 == V68, V68 == V72, V72 == V75, V75 == V78, V78 == V81, V81 == V84, V84 == V87, V87 == V90, V90 == V97, V97 == V100, V3 == V5, V5 == V9, V9 == V16, V16 == V19, V19 == V25, V25 == V28, V28 == V32, V32 == V38, V38 == V41, V41 == V47, V47 == V50, V50 == V54, V54 == V58, V58 == V61, V61 == V64, V64 == V65, V65 == V69, V69 == V76, V76 == V82, V82 == V85, V85 == V91, V91 == V94, V94 == V98, V98 == V101; #508 ), references = 1, size of lhs = 14:
% 1.46/1.68 group_element-{F}(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), product2-{F}(V2,V2,V2), P_e_2-{F}(V2), product1-{F}(V2,V2,V2), product1-{F}(V2,V0,V3), group_element-{F}(V3), product1-{F}(V3,V3,V3), P_e_3-{F}(V3) | product1-{T}(V1,V0,V0)
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #731: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V20, V20 == V23, V23 == V27, V27 == V29, V29 == V36, V36 == V38, V38 == V42, V42 == V45, V45 == V49, V49 == V51, V51 == V55, V55 == V57, V57 == V4, V4 == V59, V59 == V63, V63 == V66, V66 == V70, V70 == V81, V81 == V85, V85 == V88, V88 == V94, V94 == V98, V98 == V103, V103 == V107, V107 == V110, V110 == V117, V117 == V121, V1 == V5, V5 == V7, V7 == V14, V14 == V17, V17 == V24, V24 == V30, V30 == V33, V33 == V37, V37 == V39, V39 == V43, V43 == V46, V46 == V50, V50 == V52, V52 == V58, V58 == V60, V60 == V67, V67 == V71, V71 == V74, V74 == V77, V77 == V82, V82 == V86, V86 == V89, V89 == V92, V92 == V95, V95 == V101, V101 == V104, V104 == V108, V108 == V111, V111 == V114, V114 == V118, V118 == V122, V8 == V11, V11 == V15, V15 == V18, V18 == V25, V25 == V28, V28 == V31, V31 == V34, V34 == V2, V2 == V40, V40 == V47, V47 == V53, V53 == V61, V61 == V64, V64 == V68, V68 == V72, V72 == V75, V75 == V78, V78 == V83, V83 == V87, V87 == V90, V90 == V93, V93 == V96, V96 == V99, V99 == V102, V102 == V105, V105 == V112, V112 == V115, V115 == V119, V119 == V123, V3 == V9, V9 == V12, V12 == V16, V16 == V19, V19 == V21, V21 == V22, V22 == V26, V26 == V32, V32 == V35, V35 == V41, V41 == V44, V44 == V48, V48 == V54, V54 == V56, V56 == V62, V62 == V65, V65 == V69, V69 == V73, V73 == V76, V76 == V79, V79 == V80, V80 == V84, V84 == V91, V91 == V97, V97 == V100, V100 == V106, V106 == V109, V109 == V113, V113 == V116, V116 == V120; #610 ), references = 1, size of lhs = 13:
% 1.46/1.68 group_element-{F}(V0), P_e_1-{F}(V0), product1-{F}(V0,V0,V0), group_element-{F}(V1), product1-{F}(V1,V1,V1), P_e_4-{F}(V1), group_element-{F}(V2), product2-{F}(V2,V2,V2), product1-{F}(V2,V2,V2), P_e_2-{F}(V2), group_element-{F}(V3), product1-{F}(V3,V3,V3), P_e_3-{F}(V3) | product1-{T}(V2,V0,V1)
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #753: mergings( V0 == V4, V4 == V6, V6 == V13, V13 == V17, V1 == V7, V7 == V10, V10 == V14, V14 == V18, V2 == V5, V5 == V8, V8 == V11, V11 == V15, V3 == V9, V9 == V12, V12 == V16, V16 == V19; #735 ), references = 1, size of lhs = 8:
% 1.46/1.68 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), product1-{F}(V1,V1,V1), P_e_3-{F}(V1), P_e_2-{F}(V2), product1-{F}(V2,V0,V3), P_e_4-{F}(V3) | product1-{T}(V1,V0,V0), product1-{T}(V1,V0,V2)
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #772: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V1 == V7, V7 == V11, V11 == V14, V14 == V18, V2 == V8, V8 == V12, V12 == V15, V15 == V19, V3 == V5, V5 == V9, V9 == V16; #756 ), references = 1, size of lhs = 8:
% 1.46/1.68 group_element-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), P_e_1-{F}(V2), product1-{F}(V2,V0,V2), P_e_2-{F}(V3), P_e_3-{F}(V4), product1-{F}(V4,V0,V3) | product1-{T}(V1,V0,V4), product1-{T}(V1,V0,V1)
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #792: mergings( V0 == V5, V5 == V6, V6 == V10, V10 == V13, V1 == V4, V4 == V7, V7 == V14, V14 == V17, V2 == V8, V8 == V11, V11 == V15, V15 == V18, V3 == V9, V9 == V12, V12 == V16, V16 == V19; #775 ), references = 1, size of lhs = 8:
% 1.46/1.68 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_3-{F}(V2), P_e_4-{F}(V3) | product1-{T}(V1,V0,V2), product1-{T}(V1,V0,V3)
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #817: mergings( V0 == V6, V6 == V10, V10 == V4, V4 == V14, V14 == V18, V7 == V11, V11 == V1, V1 == V15, V15 == V19, V2 == V8, V8 == V12, V12 == V13, V13 == V16, V3 == V5, V5 == V9, V9 == V17, V17 == V20; #798 ), references = 1, size of lhs = 10:
% 1.46/1.68 group_element-{F}(V0), P_e_4-{F}(V0), group_element-{F}(V1), product1-{F}(V1,V1,V1), P_e_1-{F}(V1), group_element-{F}(V2), product1-{F}(V2,V2,V2), P_e_3-{F}(V2), P_e_2-{F}(V3), product1-{F}(V3,V1,V0) | product1-{T}(V0,V1,V2), product1-{T}(V0,V1,V0)
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #837: mergings( V0 == V5, V5 == V6, V6 == V10, V10 == V13, V1 == V4, V4 == V7, V7 == V14, V14 == V17, V2 == V8, V8 == V11, V11 == V15, V15 == V18, V3 == V9, V9 == V12, V12 == V16, V16 == V19; #820 ), references = 1, size of lhs = 8:
% 1.46/1.68 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_3-{F}(V2), P_e_4-{F}(V3) | product1-{T}(V1,V0,V2), product1-{T}(V1,V0,V3)
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #870: mergings( V0 == V5, V5 == V6, V6 == V10, V10 == V13, V13 == V21, V21 == V25, V25 == V29, V1 == V7, V7 == V14, V14 == V17, V17 == V4, V4 == V22, V22 == V26, V8 == V11, V11 == V15, V15 == V18, V18 == V2, V2 == V23, V23 == V27, V27 == V30, V3 == V9, V9 == V12, V12 == V16, V16 == V19, V19 == V20, V20 == V24, V24 == V28, V28 == V31; #841 ), references = 1, size of lhs = 12:
% 1.46/1.68 group_element-{F}(V0), product1-{F}(V0,V0,V0), P_e_1-{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_4-{F}(V2), P_e_3-{F}(V3), product1-{F}(V1,V4,V2), product2-{F}(V0,V4,V0) | product1-{T}(V0,V1,V2)
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #892: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V1 == V4, V4 == V7, V7 == V11, V11 == V14, V2 == V8, V8 == V12, V12 == V15, V15 == V18, V3 == V5, V5 == V9, V9 == V16, V16 == V19; #875 ), references = 1, size of lhs = 8:
% 1.46/1.68 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_1-{F}(V2), product1-{F}(V1,V2,V3), P_e_3-{F}(V3) | product1-{T}(V1,V0,V2), product1-{T}(V1,V0,V1)
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #923: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V20, V20 == V24, V24 == V28, V1 == V4, V4 == V7, V7 == V11, V11 == V14, V14 == V21, V21 == V25, V2 == V8, V8 == V12, V12 == V15, V15 == V18, V18 == V22, V22 == V26, V26 == V29, V3 == V5, V5 == V9, V9 == V16, V16 == V19, V19 == V23, V23 == V27, V27 == V30; #895 ), references = 1, size of lhs = 10:
% 1.46/1.68 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_1-{F}(V2), product1-{F}(V1,V2,V3), P_e_3-{F}(V3), product1-{F}(V0,V4,V1), product2-{F}(V2,V4,V2) | product1-{T}(V1,V0,V1)
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #981: mergings( V0 == V4, V4 == V7, V7 == V11, V11 == V14, V14 == V18, V18 == V22, V22 == V25, V25 == V31, V31 == V35, V35 == V39, V39 == V43, V43 == V47, V1 == V8, V8 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V23, V23 == V26, V26 == V32, V32 == V36, V36 == V44, V44 == V48, V6 == V9, V9 == V2, V2 == V20, V20 == V24, V24 == V27, V27 == V29, V29 == V33, V33 == V37, V37 == V40, V40 == V45, V45 == V49, V3 == V10, V10 == V5, V5 == V13, V13 == V16, V16 == V21, V21 == V28, V28 == V30, V30 == V34, V34 == V38, V38 == V41, V41 == V46; #934 ), references = 1, size of lhs = 15:
% 1.46/1.68 group_element-{F}(V0), product1-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), product1-{F}(V1,V1,V1), P_e_3-{F}(V1), group_element-{F}(V2), P_e_4-{F}(V2), group_element-{F}(V3), product1-{F}(V3,V0,V2), product1-{F}(V3,V3,V3), product1-{F}(V0,V3,V2), P_e_2-{F}(V3), product1-{F}(V3,V4,V2), product2-{F}(V0,V4,V0) | product1-{T}(V2,V0,V0), product1-{T}(V2,V0,V2)
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #1027: mergings( V0 == V4, V4 == V7, V7 == V11, V11 == V14, V14 == V18, V18 == V22, V22 == V25, V25 == V31, V31 == V35, V35 == V39, V39 == V43, V43 == V47, V1 == V8, V8 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V23, V23 == V26, V26 == V32, V32 == V36, V36 == V44, V6 == V9, V9 == V2, V2 == V20, V20 == V24, V24 == V27, V27 == V29, V29 == V33, V33 == V37, V37 == V40, V40 == V45, V45 == V48, V3 == V10, V10 == V5, V5 == V13, V13 == V16, V16 == V21, V21 == V28, V28 == V30, V30 == V34, V34 == V38, V38 == V41, V41 == V46, V46 == V49; #935 ), references = 1, size of lhs = 15:
% 1.46/1.68 group_element-{F}(V0), product1-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), product1-{F}(V1,V1,V1), P_e_3-{F}(V1), group_element-{F}(V2), P_e_4-{F}(V2), product1-{F}(V2,V2,V2), group_element-{F}(V3), product1-{F}(V3,V0,V2), product1-{F}(V3,V3,V3), P_e_2-{F}(V3), product1-{F}(V3,V4,V2), product2-{F}(V0,V4,V0) | product1-{T}(V2,V0,V0), product1-{T}(V2,V0,V2)
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #1076: mergings( V0 == V4, V4 == V6, V6 == V10, V10 == V18, V18 == V22, V22 == V26, V26 == V29, V29 == V35, V35 == V39, V39 == V43, V43 == V47, V47 == V51, V1 == V7, V7 == V11, V11 == V14, V14 == V19, V19 == V21, V21 == V23, V23 == V27, V27 == V30, V30 == V36, V36 == V40, V40 == V48, V48 == V52, V8 == V12, V12 == V15, V15 == V2, V2 == V24, V24 == V28, V28 == V31, V31 == V33, V33 == V37, V37 == V41, V41 == V44, V44 == V49, V49 == V53, V3 == V9, V9 == V13, V13 == V16, V16 == V5, V5 == V20, V20 == V25, V25 == V32, V32 == V34, V34 == V38, V38 == V42, V42 == V45, V45 == V50; #932 ), references = 1, size of lhs = 13:
% 1.46/1.68 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), product1-{F}(V0,V2,V1), group_element-{F}(V3), product2-{F}(V3,V2,V3), product1-{F}(V3,V3,V3), product1-{F}(V0,V3,V1), P_e_2-{F}(V3), product1-{F}(V3,V4,V1), product2-{F}(V0,V4,V0), P_e_3-{F}(V5) | product1-{T}(V1,V0,V0), product1-{T}(V1,V0,V1)
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #1133: mergings( V0 == V2, V2 == V5, V5 == V9, V9 == V13, V13 == V18, V18 == V22, V22 == V25, V25 == V31, V31 == V35, V35 == V39, V39 == V43, V43 == V47, V47 == V50, V50 == V54, V4 == V6, V6 == V10, V10 == V14, V14 == V17, V17 == V19, V19 == V23, V23 == V26, V26 == V32, V32 == V36, V36 == V44, V44 == V48, V48 == V51, V51 == V55, V3 == V7, V7 == V15, V15 == V20, V20 == V24, V24 == V27, V27 == V29, V29 == V33, V33 == V37, V37 == V40, V40 == V45, V45 == V49, V49 == V52, V52 == V56, V1 == V8, V8 == V11, V11 == V12, V12 == V16, V16 == V21, V21 == V28, V28 == V30, V30 == V34, V34 == V38, V38 == V41, V41 == V46, V46 == V53; #1079 ), references = 1, size of lhs = 15:
% 1.46/1.68 group_element-{F}(V0), product1-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), product1-{F}(V1,V1,V1), P_e_3-{F}(V1), group_element-{F}(V2), P_e_4-{F}(V2), group_element-{F}(V3), product1-{F}(V3,V3,V3), product1-{F}(V0,V3,V2), P_e_2-{F}(V3), product1-{F}(V3,V0,V2), product1-{F}(V3,V4,V2), product2-{F}(V0,V4,V0) | product1-{T}(V2,V0,V0)
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #1186: mergings( V0 == V2, V2 == V5, V5 == V9, V9 == V13, V13 == V18, V18 == V22, V22 == V25, V25 == V31, V31 == V35, V35 == V39, V39 == V43, V43 == V47, V47 == V50, V4 == V6, V6 == V10, V10 == V14, V14 == V17, V17 == V19, V19 == V23, V23 == V26, V26 == V32, V32 == V36, V36 == V44, V44 == V48, V48 == V51, V51 == V54, V3 == V7, V7 == V15, V15 == V20, V20 == V24, V24 == V27, V27 == V29, V29 == V33, V33 == V37, V37 == V40, V40 == V45, V45 == V49, V49 == V52, V52 == V55, V1 == V8, V8 == V11, V11 == V12, V12 == V16, V16 == V21, V21 == V28, V28 == V30, V30 == V34, V34 == V38, V38 == V41, V41 == V46, V46 == V53, V53 == V56; #1080 ), references = 1, size of lhs = 16:
% 1.46/1.68 group_element-{F}(V0), product1-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), product1-{F}(V1,V1,V1), P_e_3-{F}(V1), group_element-{F}(V2), P_e_4-{F}(V2), product1-{F}(V2,V2,V2), group_element-{F}(V3), product1-{F}(V3,V0,V2), product1-{F}(V3,V3,V3), product1-{F}(V0,V3,V2), P_e_2-{F}(V3), product1-{F}(V3,V4,V2), product2-{F}(V0,V4,V0) | product1-{T}(V2,V0,V0)
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #1354: mergings( V3 == V5, V5 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V22, V22 == V25, V25 == V28, V28 == V32, V32 == V36, V36 == V39, V39 == V41, V41 == V47, V47 == V51, V51 == V54, V54 == V56, V56 == V59, V59 == V60, V60 == V64, V64 == V67, V67 == V72, V72 == V75, V75 == V77, V77 == V82, V82 == V85, V85 == V87, V87 == V90, V90 == V91, V91 == V95, V95 == V100, V100 == V104, V104 == V109, V109 == V112, V112 == V116, V116 == V119, V119 == V122, V122 == V125, V125 == V128, V128 == V130, V130 == V134, V134 == V137, V137 == V141, V141 == V146, V146 == V149, V149 == V151, V1 == V6, V6 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V23, V23 == V26, V26 == V29, V29 == V33, V33 == V37, V37 == V42, V42 == V44, V44 == V48, V48 == V50, V50 == V52, V52 == V55, V55 == V57, V57 == V61, V61 == V65, V65 == V68, V68 == V73, V73 == V78, V78 == V80, V80 == V83, V83 == V88, V88 == V92, V92 == V96, V96 == V98, V98 == V101, V101 == V105, V105 == V110, V110 == V113, V113 == V118, V118 == V120, V120 == V124, V124 == V126, V126 == V131, V131 == V135, V135 == V138, V138 == V142, V142 == V144, V144 == V147, V147 == V152, V152 == V154, V2 == V4, V4 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V21, V21 == V24, V24 == V27, V27 == V30, V30 == V31, V31 == V34, V34 == V35, V35 == V38, V38 == V40, V40 == V43, V43 == V45, V45 == V46, V46 == V49, V49 == V53, V53 == V58, V58 == V62, V62 == V63, V63 == V66, V66 == V69, V69 == V70, V70 == V71, V71 == V74, V74 == V76, V76 == V79, V79 == V81, V81 == V84, V84 == V86, V86 == V89, V89 == V93, V93 == V94, V94 == V97, V97 == V99, V99 == V102, V102 == V103, V103 == V106, V106 == V107, V107 == V108, V108 == V111, V111 == V114, V114 == V115, V115 == V117, V117 == V121, V121 == V123, V123 == V127, V127 == V129, V129 == V132, V132 == V133, V133 == V136, V136 == V139, V139 == V140, V140 == V143, V143 == V145, V145 == V148, V148 == V150, V150 == V153, V153 == V155; #1201 ), references = 1, size of lhs = 3:
% 1.46/1.68 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2) | FALSE
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #1447: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V26, V26 == V29, V29 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V48, V48 == V51, V51 == V53, V53 == V54, V54 == V56, V56 == V57, V57 == V59, V59 == V62, V62 == V64, V64 == V66, V66 == V68, V68 == V70, V70 == V72, V72 == V74, V74 == V76, V76 == V78, V78 == V79, V79 == V81, V81 == V83, V83 == V85, V85 == V88, V88 == V90, V90 == V91, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V27, V27 == V28, V28 == V30, V30 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V49, V49 == V50, V50 == V52, V52 == V55, V55 == V58, V58 == V60, V60 == V61, V61 == V63, V63 == V65, V65 == V67, V67 == V69, V69 == V71, V71 == V73, V73 == V75, V75 == V77, V77 == V80, V80 == V82, V82 == V84, V84 == V86, V86 == V87, V87 == V89, V89 == V92, V92 == V93; #1355 ), references = 1, size of lhs = 2:
% 1.46/1.68 P_e_1-{F}(V0), P_e_2-{F}(V1) | FALSE
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #1495: 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; #1448 ), references = 1, size of lhs = 1:
% 1.46/1.68 P_e_1-{F}(V0) | FALSE
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 #1497: exists( #37, #1448 ), references = 1, size of lhs = 0:
% 1.46/1.68 FALSE | FALSE
% 1.46/1.68 (used 0 times, uses = {})
% 1.46/1.68
% 1.46/1.68 number of learnt formulas = 37
% 1.46/1.68
% 1.46/1.68
% 1.46/1.68 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.46/1.68
% 1.46/1.68 randbase = 1
%------------------------------------------------------------------------------