TSTP Solution File: GRP124-2.004 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP124-2.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.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 06:03:12 EDT 2022
% Result : Unsatisfiable 0.54s 0.71s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP124-2.004 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n011.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 14:22:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.54/0.71 GeoParameters:
% 0.54/0.71
% 0.54/0.71 tptp_input = 1
% 0.54/0.71 tptp_output = 0
% 0.54/0.71 nonempty = 1
% 0.54/0.71 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.71 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.54/0.71
% 0.54/0.71
% 0.54/0.71 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.71 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.71
% 0.54/0.71 RuleSystem INPUT:
% 0.54/0.71
% 0.54/0.71 Initial Rules:
% 0.54/0.71 #0: input, references = 3, size of lhs = 2:
% 0.54/0.71 P_e_1-{F}(V0), P_e_2-{F}(V1) | next-{T}(V0,V1)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #1: input, references = 4, size of lhs = 3:
% 0.54/0.71 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2) | next-{T}(V1,V2)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #2: input, references = 3, size of lhs = 4:
% 0.54/0.71 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | next-{T}(V2,V3)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #3: input, references = 4, size of lhs = 4:
% 0.54/0.71 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | greater-{T}(V1,V0)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #4: input, references = 3, size of lhs = 4:
% 0.54/0.71 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | greater-{T}(V2,V0)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #5: input, references = 3, size of lhs = 4:
% 0.54/0.71 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | greater-{T}(V3,V0)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #6: input, references = 4, size of lhs = 4:
% 0.54/0.71 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | greater-{T}(V2,V1)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #7: input, references = 3, size of lhs = 4:
% 0.54/0.71 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | greater-{T}(V3,V1)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #8: input, references = 4, size of lhs = 4:
% 0.54/0.71 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | greater-{T}(V3,V2)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #9: input, references = 5, size of lhs = 7:
% 0.54/0.71 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
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #10: input, references = 4, size of lhs = 4:
% 0.54/0.71 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | group_element-{T}(V0)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #11: input, references = 4, size of lhs = 4:
% 0.54/0.71 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | group_element-{T}(V1)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #12: input, references = 3, size of lhs = 4:
% 0.54/0.71 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | group_element-{T}(V2)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #13: input, references = 4, size of lhs = 4:
% 0.54/0.71 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | group_element-{T}(V3)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #14: input, references = 7, size of lhs = 5:
% 0.54/0.71 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
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #15: input, references = 3, size of lhs = 5:
% 0.54/0.71 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
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #16: input, references = 6, size of lhs = 5:
% 0.54/0.71 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
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #17: input, references = 7, size of lhs = 5:
% 0.54/0.71 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
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #18: input, references = 3, size of lhs = 5:
% 0.54/0.71 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
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #19: input, references = 5, size of lhs = 5:
% 0.54/0.71 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
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #20: input, references = 3, size of lhs = 5:
% 0.54/0.71 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
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #21: input, references = 3, size of lhs = 5:
% 0.54/0.71 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
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #22: input, references = 3, size of lhs = 5:
% 0.54/0.71 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
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #23: input, references = 4, size of lhs = 5:
% 0.54/0.71 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
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #24: input, references = 6, size of lhs = 5:
% 0.54/0.71 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
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #25: input, references = 3, size of lhs = 5:
% 0.54/0.71 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
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #26: input, references = 7, size of lhs = 6:
% 0.54/0.71 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) | product-{T}(V5,V4,V0), product-{T}(V5,V4,V1), product-{T}(V5,V4,V2), product-{T}(V5,V4,V3)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #27: input, references = 3, size of lhs = 6:
% 0.54/0.71 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), product-{F}(V7,V6,V4), product-{F}(V7,V6,V5) | equalish-{T}(V4,V5)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #28: input, references = 9, size of lhs = 6:
% 0.54/0.71 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), product-{F}(V7,V4,V6), product-{F}(V7,V5,V6) | equalish-{T}(V4,V5)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #29: input, references = 10, size of lhs = 6:
% 0.54/0.71 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), product-{F}(V4,V6,V7), product-{F}(V5,V6,V7) | equalish-{T}(V4,V5)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #30: input, references = 8, size of lhs = 5:
% 0.54/0.71 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), #-{F} V4 | product-{T}(V4,V4,V4)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #31: input, references = 5, size of lhs = 8:
% 0.54/0.71 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), product-{F}(V6,V4,V5), product-{F}(V4,V5,V7), product-{F}(V8,V9,V7), product-{F}(V6,V8,V9) | equalish-{T}(V8,V4)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #32: input, references = 5, size of lhs = 8:
% 0.54/0.71 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), product-{F}(V6,V4,V5), product-{F}(V4,V5,V7), product-{F}(V9,V8,V7), product-{F}(V6,V9,V8) | equalish-{T}(V8,V5)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #33: input, references = 4, size of lhs = 0:
% 0.54/0.71 FALSE | EXISTS V0: P_e_1-{T}(V0)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #34: input, references = 4, size of lhs = 0:
% 0.54/0.71 FALSE | EXISTS V0: P_e_2-{T}(V0)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #35: input, references = 5, size of lhs = 0:
% 0.54/0.71 FALSE | EXISTS V0: P_e_3-{T}(V0)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #36: input, references = 6, size of lhs = 0:
% 0.54/0.71 FALSE | EXISTS V0: P_e_4-{T}(V0)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 number of initial rules = 37
% 0.54/0.71
% 0.54/0.71 Simplifiers:
% 0.54/0.71 #37: unsound, references = 3, size of lhs = 3:
% 0.54/0.71 P_e_1-{F}(V0), P_e_1-{F}(V1), V0 == V1 | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #38: unsound, references = 3, size of lhs = 3:
% 0.54/0.71 P_e_2-{F}(V0), P_e_2-{F}(V1), V0 == V1 | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #39: unsound, references = 3, size of lhs = 3:
% 0.54/0.71 P_e_3-{F}(V0), P_e_3-{F}(V1), V0 == V1 | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #40: unsound, references = 3, size of lhs = 3:
% 0.54/0.71 P_e_4-{F}(V0), P_e_4-{F}(V1), V0 == V1 | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 number of simplifiers = 4
% 0.54/0.71
% 0.54/0.71 Learnt:
% 0.54/0.71 #50: mergings( V1 == V2, V2 == V4, V4 == V5, V5 == V7, V3 == V6, V6 == V8; #43 ), references = 1, size of lhs = 4:
% 0.54/0.71 P_e_1-{F}(V0), next-{F}(V0,V0), P_e_2-{F}(V0), P_e_3-{F}(V1) | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #56: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #51 ), references = 1, size of lhs = 3:
% 0.54/0.71 P_e_1-{F}(V0), next-{F}(V0,V0), P_e_2-{F}(V0) | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #67: mergings( V1 == V3, V3 == V4, V2 == V5, V5 == V7, V4 == V6, V6 == V8; #60 ), references = 1, size of lhs = 4:
% 0.54/0.71 P_e_1-{F}(V0), P_e_3-{F}(V0), next-{F}(V0,V1), P_e_2-{F}(V1) | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #89: mergings( V0 == V4, V4 == V6, V6 == V10, V1 == V5, V5 == V7, V7 == V13, V2 == V8, V8 == V11, V11 == V14, V3 == V9, V9 == V12, V12 == V15; #76 ), references = 3, size of lhs = 9:
% 0.54/0.71 group_element-{F}(V0), P_e_1-{F}(V0), product-{F}(V0,V0,V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), greater-{F}(V3,V4), next-{F}(V1,V4) | product-{T}(V1,V0,V1), product-{T}(V1,V0,V2)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #109: 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; #92 ), references = 1, size of lhs = 8:
% 0.54/0.71 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), product-{F}(V1,V1,V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | product-{T}(V1,V0,V2), product-{T}(V1,V0,V3)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #135: mergings( V6 == V0, V0 == V15, V15 == V19, V1 == V7, V7 == V10, V10 == V16, V16 == V20, V2 == V8, V8 == V11, V11 == V17, V17 == V21, V3 == V5, V5 == V9, V9 == V12, V12 == V18; #116 ), references = 1, size of lhs = 10:
% 0.54/0.71 group_element-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), P_e_1-{F}(V2), product-{F}(V0,V2,V3), P_e_2-{F}(V4), product-{F}(V4,V0,V4), product-{F}(V1,V5,V4), product-{F}(V5,V4,V3), P_e_3-{F}(V6) | product-{T}(V1,V0,V6), product-{T}(V1,V0,V1)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #151: mergings( V6 == V0, V0 == V15, V15 == V19, V1 == V4, V4 == V7, V7 == V10, V10 == V16, V2 == V8, V8 == V11, V11 == V17, V17 == V20, V3 == V9, V9 == V12, V12 == V18, V18 == V21; #117 ), references = 1, size of lhs = 10:
% 0.54/0.71 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V1,V2,V0), product-{F}(V2,V0,V3), P_e_1-{F}(V4), product-{F}(V0,V4,V3), product-{F}(V1,V4,V0), P_e_3-{F}(V5), P_e_4-{F}(V6) | product-{T}(V1,V0,V5), product-{T}(V1,V0,V6)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #167: mergings( V0 == V6, V6 == V10, V10 == V15, V15 == V19, V1 == V4, V4 == V7, V7 == V16, V2 == V8, V8 == V11, V11 == V17, V17 == V20, V3 == V9, V9 == V12, V12 == V18, V18 == V21; #119 ), references = 1, size of lhs = 10:
% 0.54/0.71 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V2), product-{F}(V1,V2,V0), product-{F}(V1,V2,V3), product-{F}(V2,V3,V4), product-{F}(V0,V2,V4), P_e_3-{F}(V5), P_e_4-{F}(V6) | product-{T}(V1,V0,V5), product-{T}(V1,V0,V6)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #192: mergings( V5 == V9, V9 == V15, V15 == V19, V19 == V22, V22 == V26, V0 == V6, V6 == V10, V10 == V16, V16 == V20, V20 == V23, V23 == V27, V1 == V7, V7 == V11, V11 == V17, V17 == V21, V21 == V24, V24 == V28, V2 == V4, V4 == V8, V8 == V12, V12 == V18, V18 == V25; #169 ), references = 1, size of lhs = 11:
% 0.54/0.71 group_element-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), P_e_1-{F}(V2), product-{F}(V0,V2,V3), product-{F}(V2,V0,V4), P_e_3-{F}(V4), P_e_2-{F}(V5), product-{F}(V5,V0,V5), product-{F}(V1,V6,V5), product-{F}(V6,V5,V3) | product-{T}(V1,V0,V1)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #236: mergings( V0 == V5, V5 == V9, V9 == V13, V13 == V16, V16 == V20, V20 == V23, V23 == V29, V29 == V33, V33 == V36, V1 == V6, V6 == V4, V4 == V10, V10 == V17, V17 == V21, V21 == V24, V24 == V27, V27 == V30, V30 == V37, V37 == V40, V2 == V11, V11 == V14, V14 == V18, V18 == V22, V22 == V25, V25 == V28, V28 == V31, V31 == V34, V34 == V38, V38 == V41, V3 == V7, V7 == V8, V8 == V12, V12 == V15, V15 == V19, V19 == V26, V26 == V32, V32 == V35, V35 == V39, V39 == V42; #195 ), references = 1, size of lhs = 14:
% 0.54/0.71 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_2-{F}(V1), group_element-{F}(V2), product-{F}(V2,V0,V1), product-{F}(V2,V2,V2), P_e_4-{F}(V2), product-{F}(V1,V0,V3), P_e_3-{F}(V3), product-{F}(V4,V0,V1), product-{F}(V4,V2,V5), product-{F}(V2,V5,V2) | product-{T}(V0,V1,V0), product-{T}(V0,V1,V1)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #276: mergings( V0 == V5, V5 == V9, V9 == V13, V13 == V16, V16 == V20, V20 == V23, V23 == V29, V29 == V33, V33 == V36, V36 == V40, V1 == V6, V6 == V4, V4 == V10, V10 == V17, V17 == V21, V21 == V24, V24 == V27, V27 == V30, V30 == V37, V2 == V11, V11 == V14, V14 == V18, V18 == V22, V22 == V25, V25 == V28, V28 == V31, V31 == V34, V34 == V38, V38 == V41, V3 == V7, V7 == V8, V8 == V12, V12 == V15, V15 == V19, V19 == V26, V26 == V32, V32 == V35, V35 == V39, V39 == V42; #196 ), references = 1, size of lhs = 14:
% 0.54/0.71 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_2-{F}(V1), group_element-{F}(V2), product-{F}(V2,V0,V1), product-{F}(V2,V2,V2), P_e_4-{F}(V2), product-{F}(V1,V0,V3), P_e_3-{F}(V3), product-{F}(V4,V2,V2), product-{F}(V5,V4,V2), product-{F}(V5,V0,V1) | product-{T}(V0,V1,V0), product-{T}(V0,V1,V1)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #325: mergings( V0 == V3, V3 == V9, V9 == V13, V13 == V16, V16 == V20, V20 == V23, V23 == V29, V29 == V33, V33 == V36, V36 == V45, V45 == V49, V1 == V4, V4 == V7, V7 == V10, V10 == V17, V17 == V21, V21 == V24, V24 == V27, V27 == V30, V30 == V37, V37 == V40, V40 == V46, V5 == V11, V11 == V14, V14 == V18, V18 == V22, V22 == V25, V25 == V28, V28 == V31, V31 == V34, V34 == V38, V38 == V41, V41 == V47, V47 == V50, V2 == V6, V6 == V8, V8 == V12, V12 == V15, V15 == V19, V19 == V26, V26 == V32, V32 == V35, V35 == V39, V39 == V42, V42 == V48, V48 == V51; #278 ), references = 1, size of lhs = 15:
% 0.54/0.71 group_element-{F}(V0), P_e_1-{F}(V0), product-{F}(V0,V0,V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_2-{F}(V1), group_element-{F}(V2), product-{F}(V2,V0,V1), product-{F}(V2,V2,V2), P_e_4-{F}(V2), product-{F}(V1,V0,V3), P_e_3-{F}(V3), product-{F}(V4,V0,V1), product-{F}(V4,V2,V5), product-{F}(V2,V5,V2) | product-{T}(V0,V1,V1)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #383: mergings( V0 == V5, V5 == V8, V8 == V12, V12 == V18, V18 == V22, V22 == V25, V25 == V31, V31 == V35, V35 == V38, V38 == V47, V47 == V51, V51 == V54, V6 == V9, V9 == V1, V1 == V13, V13 == V19, V19 == V23, V23 == V26, V26 == V29, V29 == V32, V32 == V39, V39 == V42, V42 == V48, V48 == V55, V55 == V58, V2 == V14, V14 == V16, V16 == V20, V20 == V24, V24 == V27, V27 == V30, V30 == V33, V33 == V36, V36 == V40, V40 == V43, V43 == V49, V49 == V52, V52 == V56, V56 == V59, V3 == V7, V7 == V10, V10 == V11, V11 == V15, V15 == V17, V17 == V21, V21 == V28, V28 == V34, V34 == V37, V37 == V41, V41 == V44, V44 == V50, V50 == V53, V53 == V57, V57 == V60; #328 ), references = 1, size of lhs = 16:
% 0.54/0.71 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), product-{F}(V1,V1,V1), next-{F}(V1,V2), group_element-{F}(V3), greater-{F}(V3,V2), product-{F}(V3,V0,V1), product-{F}(V3,V3,V3), P_e_4-{F}(V3), product-{F}(V4,V0,V1), product-{F}(V4,V3,V5), product-{F}(V3,V5,V3), P_e_3-{F}(V6) | product-{T}(V1,V0,V1)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #466: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V22, V22 == V4, V4 == V28, V28 == V34, V34 == V38, V38 == V41, V41 == V47, V47 == V51, V51 == V54, V54 == V62, V62 == V66, V66 == V69, V69 == V76, V76 == V80, V7 == V11, V11 == V14, V14 == V17, V17 == V23, V23 == V25, V25 == V1, V1 == V29, V29 == V35, V35 == V39, V39 == V42, V42 == V45, V45 == V48, V48 == V55, V55 == V58, V58 == V63, V63 == V70, V70 == V73, V73 == V77, V2 == V8, V8 == V12, V12 == V15, V15 == V18, V18 == V26, V26 == V30, V30 == V32, V32 == V36, V36 == V40, V40 == V43, V43 == V46, V46 == V49, V49 == V52, V52 == V56, V56 == V59, V59 == V64, V64 == V67, V67 == V71, V71 == V74, V74 == V78, V78 == V81, V3 == V9, V9 == V16, V16 == V19, V19 == V20, V20 == V24, V24 == V27, V27 == V5, V5 == V31, V31 == V33, V33 == V37, V37 == V44, V44 == V50, V50 == V53, V53 == V57, V57 == V60, V60 == V65, V65 == V68, V68 == V72, V72 == V75, V75 == V79; #389 ), references = 1, size of lhs = 14:
% 0.54/0.71 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_2-{F}(V1), next-{F}(V1,V2), group_element-{F}(V3), greater-{F}(V3,V2), product-{F}(V3,V3,V3), P_e_4-{F}(V3), product-{F}(V3,V3,V4), product-{F}(V3,V4,V3), P_e_3-{F}(V5) | product-{T}(V3,V0,V5)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #545: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V20, V20 == V23, V23 == V4, V4 == V29, V29 == V35, V35 == V39, V39 == V42, V42 == V48, V48 == V52, V52 == V55, V55 == V63, V63 == V67, V67 == V70, V70 == V77, V7 == V11, V11 == V14, V14 == V17, V17 == V24, V24 == V26, V26 == V1, V1 == V30, V30 == V36, V36 == V40, V40 == V43, V43 == V46, V46 == V49, V49 == V56, V56 == V59, V59 == V64, V64 == V71, V71 == V74, V74 == V78, V78 == V81, V2 == V8, V8 == V12, V12 == V15, V15 == V18, V18 == V27, V27 == V31, V31 == V33, V33 == V37, V37 == V41, V41 == V44, V44 == V47, V47 == V50, V50 == V53, V53 == V57, V57 == V60, V60 == V65, V65 == V68, V68 == V72, V72 == V75, V75 == V79, V79 == V82, V3 == V9, V9 == V16, V16 == V19, V19 == V21, V21 == V25, V25 == V28, V28 == V5, V5 == V32, V32 == V34, V34 == V38, V38 == V45, V45 == V51, V51 == V54, V54 == V58, V58 == V61, V61 == V66, V66 == V69, V69 == V73, V73 == V76, V76 == V80, V80 == V83; #388 ), references = 1, size of lhs = 14:
% 0.54/0.71 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), product-{F}(V1,V1,V1), next-{F}(V1,V2), group_element-{F}(V3), greater-{F}(V3,V2), product-{F}(V3,V3,V3), P_e_4-{F}(V3), product-{F}(V3,V3,V4), product-{F}(V3,V4,V3), P_e_3-{F}(V5) | product-{T}(V3,V0,V5)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #555: mergings( V0 == V5, V5 == V9, V1 == V6, V2 == V7, V7 == V10, V3 == V8, V8 == V11; #547 ), references = 1, size of lhs = 10:
% 0.54/0.71 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), next-{F}(V1,V2), P_e_3-{F}(V3), P_e_4-{F}(V4), greater-{F}(V4,V2), product-{F}(V4,V0,V3) | product-{T}(V1,V0,V1)
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #643: mergings( V1 == V6, V6 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V25, V25 == V31, V31 == V35, V35 == V38, V38 == V40, V40 == V45, V45 == V48, V48 == V50, V50 == V55, V55 == V59, V59 == V63, V63 == V66, V66 == V68, V68 == V71, V71 == V74, V74 == V76, V2 == V4, V4 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V21, V21 == V23, V23 == V26, V26 == V28, V28 == V32, V32 == V36, V36 == V41, V41 == V43, V43 == V46, V46 == V51, V51 == V53, V53 == V56, V56 == V60, V60 == V64, V64 == V69, V69 == V72, V72 == V77, V3 == V5, V5 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V22, V22 == V24, V24 == V27, V27 == V29, V29 == V30, V30 == V33, V33 == V34, V34 == V37, V37 == V39, V39 == V42, V42 == V44, V44 == V47, V47 == V49, V49 == V52, V52 == V54, V54 == V57, V57 == V58, V58 == V61, V61 == V62, V62 == V65, V65 == V67, V67 == V70, V70 == V73, V73 == V75, V75 == V78, V78 == V79; #566 ), references = 1, size of lhs = 4:
% 0.54/0.71 P_e_1-{F}(V0), P_e_2-{F}(V1), next-{F}(V1,V2), P_e_3-{F}(V2) | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #691: mergings( V1 == V2, V2 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V20, V20 == V22, V22 == V24, V24 == V25, V25 == V28, V28 == V30, V30 == V31, V31 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V41, V41 == V43, V43 == V45, V45 == V46, V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V19, V19 == V21, V21 == V23, V23 == V26, V26 == V27, V27 == V29, V29 == V32, V32 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V42, V42 == V44, V44 == V47; #645 ), references = 1, size of lhs = 2:
% 0.54/0.71 P_e_1-{F}(V0), P_e_2-{F}(V1) | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #716: 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; #692 ), references = 1, size of lhs = 1:
% 0.54/0.71 P_e_1-{F}(V0) | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 #718: exists( #33, #692 ), references = 1, size of lhs = 0:
% 0.54/0.71 FALSE | FALSE
% 0.54/0.71 (used 0 times, uses = {})
% 0.54/0.71
% 0.54/0.71 number of learnt formulas = 20
% 0.54/0.71
% 0.54/0.71
% 0.54/0.71 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.71
% 0.54/0.71 randbase = 1
%------------------------------------------------------------------------------