TSTP Solution File: GRP123-3.003 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP123-3.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 06:03:11 EDT 2022
% Result : Unsatisfiable 0.36s 0.53s
% Output : Refutation 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP123-3.003 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n028.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 14:04:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.36/0.53 GeoParameters:
% 0.36/0.53
% 0.36/0.53 tptp_input = 1
% 0.36/0.53 tptp_output = 0
% 0.36/0.53 nonempty = 1
% 0.36/0.53 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.53 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.36/0.53
% 0.36/0.53
% 0.36/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.53 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.53
% 0.36/0.53 RuleSystem INPUT:
% 0.36/0.53
% 0.36/0.53 Initial Rules:
% 0.36/0.53 #0: input, references = 3, size of lhs = 2:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1) | next-{T}(V0,V1)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #1: input, references = 4, size of lhs = 3:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2) | next-{T}(V1,V2)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #2: input, references = 3, size of lhs = 4:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | next-{T}(V2,V3)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #3: input, references = 5, size of lhs = 4:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | greater-{T}(V1,V0)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #4: input, references = 5, size of lhs = 4:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | greater-{T}(V2,V0)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #5: input, references = 3, size of lhs = 4:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | greater-{T}(V3,V0)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #6: input, references = 3, size of lhs = 4:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | greater-{T}(V2,V1)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #7: input, references = 3, size of lhs = 4:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | greater-{T}(V3,V1)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #8: input, references = 3, size of lhs = 4:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | greater-{T}(V3,V2)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #9: input, references = 4, size of lhs = 6:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), cycle-{F}(V6,V4), cycle-{F}(V6,V5) | equalish-{T}(V4,V5)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #10: input, references = 6, size of lhs = 5:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), group_element-{F}(V4) | cycle-{T}(V4,V0), cycle-{T}(V4,V1), cycle-{T}(V4,V2)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #11: input, references = 4, size of lhs = 4:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | cycle-{T}(V3,V0)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #12: input, references = 4, size of lhs = 9:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), greater-{F}(V4,V0), cycle-{F}(V7,V4), next-{F}(V7,V6), cycle-{F}(V6,V8), next-{F}(V8,V5) | equalish-{T}(V4,V5)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #13: input, references = 3, size of lhs = 10:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), cycle-{F}(V4,V0), cycle-{F}(V6,V5), next-{F}(V4,V6), greater-{F}(V7,V5), cycle-{F}(V8,V7), greater-{F}(V4,V8) | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #14: input, references = 3, size of lhs = 7:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), cycle-{F}(V4,V0), product-{F}(V4,V1,V5), greater-{F}(V5,V4) | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #15: input, references = 9, size of lhs = 8:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), cycle-{F}(V4,V5), greater-{F}(V5,V0), next-{F}(V4,V6), product-{F}(V4,V1,V7) | equalish-{T}(V7,V6)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #16: input, references = 6, size of lhs = 4:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | group_element-{T}(V1)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #17: input, references = 4, size of lhs = 4:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | group_element-{T}(V2)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #18: input, references = 4, size of lhs = 4:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | group_element-{T}(V3)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #19: input, references = 11, size of lhs = 5:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), equalish-{F}(V1,V2) | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #20: input, references = 5, size of lhs = 5:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), equalish-{F}(V1,V3) | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #21: input, references = 6, size of lhs = 5:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), equalish-{F}(V2,V1) | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #22: input, references = 5, size of lhs = 5:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), equalish-{F}(V2,V3) | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #23: input, references = 5, size of lhs = 5:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), equalish-{F}(V3,V1) | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #24: input, references = 4, size of lhs = 5:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), equalish-{F}(V3,V2) | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #25: input, references = 6, size of lhs = 6:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), group_element-{F}(V4), group_element-{F}(V5) | product-{T}(V5,V4,V1), product-{T}(V5,V4,V2), product-{T}(V5,V4,V3)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #26: input, references = 4, size of lhs = 6:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), product-{F}(V7,V6,V5), product-{F}(V7,V6,V4) | equalish-{T}(V5,V4)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #27: input, references = 6, size of lhs = 6:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), product-{F}(V7,V5,V6), product-{F}(V7,V4,V6) | equalish-{T}(V5,V4)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #28: input, references = 8, size of lhs = 6:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), product-{F}(V5,V6,V7), product-{F}(V4,V6,V7) | equalish-{T}(V5,V4)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #29: input, references = 9, size of lhs = 5:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), #-{F} V4 | product-{T}(V4,V4,V4)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #30: input, references = 3, size of lhs = 8:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), product-{F}(V4,V7,V8), product-{F}(V5,V6,V8), product-{F}(V9,V7,V4), product-{F}(V9,V6,V5) | equalish-{T}(V4,V5)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #31: input, references = 4, size of lhs = 8:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), product-{F}(V7,V4,V8), product-{F}(V6,V5,V8), product-{F}(V9,V4,V7), product-{F}(V9,V5,V6) | equalish-{T}(V4,V5)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #32: input, references = 4, size of lhs = 0:
% 0.36/0.53 FALSE | EXISTS V0: P_e_0-{T}(V0)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #33: input, references = 4, size of lhs = 0:
% 0.36/0.53 FALSE | EXISTS V0: P_e_1-{T}(V0)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #34: input, references = 5, size of lhs = 0:
% 0.36/0.53 FALSE | EXISTS V0: P_e_2-{T}(V0)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #35: input, references = 8, size of lhs = 0:
% 0.36/0.53 FALSE | EXISTS V0: P_e_3-{T}(V0)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 number of initial rules = 36
% 0.36/0.53
% 0.36/0.53 Simplifiers:
% 0.36/0.53 #36: unsound, references = 3, size of lhs = 3:
% 0.36/0.53 P_e_0-{F}(V0), P_e_0-{F}(V1), V0 == V1 | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #37: unsound, references = 3, size of lhs = 3:
% 0.36/0.53 P_e_1-{F}(V0), P_e_1-{F}(V1), V0 == V1 | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #38: unsound, references = 3, size of lhs = 3:
% 0.36/0.53 P_e_2-{F}(V0), P_e_2-{F}(V1), V0 == V1 | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #39: unsound, references = 3, size of lhs = 3:
% 0.36/0.53 P_e_3-{F}(V0), P_e_3-{F}(V1), V0 == V1 | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 number of simplifiers = 4
% 0.36/0.53
% 0.36/0.53 Learnt:
% 0.36/0.53 #52: mergings( V1 == V4, V4 == V7, V7 == V2, V2 == V5, V5 == V3, V3 == V6; #44 ), references = 1, size of lhs = 3:
% 0.36/0.53 P_e_1-{F}(V0), P_e_2-{F}(V0), P_e_0-{F}(V0) | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #74: mergings( V0 == V5, V5 == V9, V9 == V13, V13 == V17, V1 == V6, V6 == V10, V10 == V14, V14 == V18, V2 == V7, V7 == V11, V11 == V15, V15 == V19, V3 == V8, V8 == V12, V12 == V16, V16 == V20; #57 ), references = 2, size of lhs = 9:
% 0.36/0.53 group_element-{F}(V0), P_e_0-{F}(V1), greater-{F}(V1,V1), P_e_1-{F}(V2), greater-{F}(V2,V1), product-{F}(V0,V2,V2), next-{F}(V0,V3), P_e_2-{F}(V3), P_e_3-{F}(V4) | cycle-{T}(V0,V3)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #109: mergings( V3 == V5, V5 == V8, V8 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V2 == V6, V6 == V20, V20 == V10, V1 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21; #88 ), references = 1, size of lhs = 4:
% 0.36/0.53 P_e_1-{F}(V0), P_e_0-{F}(V0), next-{F}(V0,V1), P_e_2-{F}(V1) | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #137: mergings( V1 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V2 == V5, V5 == V12, V12 == V7; #124 ), references = 1, size of lhs = 2:
% 0.36/0.53 P_e_1-{F}(V0), P_e_0-{F}(V0) | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #151: mergings( V1 == V4, V4 == V7, V2 == V5, V5 == V8, V3 == V6, V6 == V8; #143 ), references = 1, size of lhs = 3:
% 0.36/0.53 P_e_0-{F}(V0), P_e_1-{F}(V1), P_e_2-{F}(V1) | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #169: mergings( V3 == V5, V5 == V9, V9 == V11, V2 == V6, V6 == V8, V1 == V4, V4 == V7, V7 == V11, V11 == V10, V10 == V12; #158 ), references = 1, size of lhs = 4:
% 0.36/0.53 P_e_1-{F}(V0), P_e_0-{F}(V1), next-{F}(V0,V1), P_e_2-{F}(V1) | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #194: mergings( V0 == V6, V6 == V10, V10 == V13, V1 == V4, V4 == V7, V2 == V8, V8 == V11, V11 == V14, V3 == V9, V9 == V12, V12 == V15; #181 ), references = 1, size of lhs = 9:
% 0.36/0.53 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_0-{F}(V2), cycle-{F}(V1,V2), P_e_2-{F}(V3), product-{F}(V1,V3,V3), P_e_3-{F}(V4), greater-{F}(V4,V1) | product-{T}(V1,V0,V0)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #207: mergings( V0 == V6, V6 == V10, V10 == V13, V1 == V4, V4 == V7, V7 == V11, V2 == V5, V5 == V8, V8 == V14, V3 == V9, V9 == V12, V12 == V15; #182 ), references = 1, size of lhs = 9:
% 0.36/0.53 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_0-{F}(V2), cycle-{F}(V1,V2), P_e_3-{F}(V3), greater-{F}(V3,V1), product-{F}(V3,V0,V1) | product-{T}(V1,V0,V0)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #241: mergings( V5 == V10, V10 == V14, V14 == V0, V0 == V19, V19 == V23, V23 == V26, V26 == V30, V1 == V6, V6 == V9, V9 == V11, V11 == V20, V20 == V24, V24 == V27, V27 == V31, V7 == V4, V4 == V12, V12 == V15, V15 == V17, V17 == V21, V21 == V28, V28 == V2, V3 == V8, V8 == V13, V13 == V16, V16 == V18, V18 == V22, V22 == V25, V25 == V29, V29 == V34; #211 ), references = 1, size of lhs = 13:
% 0.36/0.53 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), P_e_0-{F}(V2), greater-{F}(V1,V2), next-{F}(V1,V3), cycle-{F}(V3,V4), next-{F}(V4,V0), P_e_3-{F}(V5), greater-{F}(V5,V1) | cycle-{T}(V1,V0)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #260: mergings( V0 == V5, V5 == V9, V9 == V13, V13 == V17, V1 == V6, V6 == V10, V10 == V14, V14 == V18, V2 == V7, V7 == V11, V11 == V15, V15 == V19, V3 == V8, V8 == V12, V12 == V16, V16 == V20; #243 ), references = 1, size of lhs = 9:
% 0.36/0.53 group_element-{F}(V0), P_e_0-{F}(V1), P_e_1-{F}(V2), greater-{F}(V2,V1), product-{F}(V0,V2,V2), next-{F}(V0,V3), greater-{F}(V3,V1), P_e_2-{F}(V3), P_e_3-{F}(V4) | cycle-{T}(V0,V1)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #285: 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; #265 ), references = 1, size of lhs = 8:
% 0.36/0.53 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), product-{F}(V1,V1,V1), P_e_0-{F}(V2), P_e_3-{F}(V3) | product-{T}(V1,V0,V3)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #300: mergings( V0 == V6, V6 == V9, V9 == V13, V13 == V17, V4 == V1, V1 == V14, V2 == V7, V7 == V12, V12 == V15, V15 == V18, V3 == V8, V8 == V11, V11 == V16, V16 == V19; #267 ), references = 1, size of lhs = 10:
% 0.36/0.53 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), cycle-{F}(V1,V2), greater-{F}(V2,V3), P_e_0-{F}(V3), next-{F}(V1,V4), P_e_3-{F}(V4), P_e_2-{F}(V5), product-{F}(V1,V5,V5) | product-{T}(V1,V0,V4)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #316: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V16, V1 == V4, V4 == V7, V7 == V11, V11 == V17, V5 == V8, V8 == V14, V14 == V2, V3 == V9, V9 == V12, V12 == V15, V15 == V19; #266 ), references = 1, size of lhs = 10:
% 0.36/0.53 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_0-{F}(V2), cycle-{F}(V1,V3), greater-{F}(V3,V2), next-{F}(V1,V4), P_e_3-{F}(V4) | product-{T}(V1,V0,V4)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #337: 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; #320 ), references = 1, size of lhs = 8:
% 0.36/0.53 group_element-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), P_e_0-{F}(V2), P_e_1-{F}(V3), product-{F}(V3,V0,V3), P_e_2-{F}(V4), product-{F}(V4,V0,V1) | product-{T}(V1,V0,V4)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #354: 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; #321 ), references = 1, size of lhs = 8:
% 0.36/0.53 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), product-{F}(V1,V1,V1), P_e_0-{F}(V2), P_e_2-{F}(V3) | product-{T}(V1,V0,V3)
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #415: mergings( V1 == V3, V3 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V19, V19 == V22, V22 == V23, V23 == V26, V26 == V27, V27 == V29, V29 == V32, V32 == V34, V34 == V37, V37 == V39, V39 == V42, V4 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V20, V20 == V24, V24 == V28, V28 == V30, V30 == V35, V35 == V38, V38 == V40, V2 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V18, V18 == V21, V21 == V25, V25 == V31, V31 == V33, V33 == V36, V36 == V41, V41 == V43; #373 ), references = 1, size of lhs = 3:
% 0.36/0.53 P_e_1-{F}(V0), P_e_0-{F}(V1), P_e_2-{F}(V2) | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #446: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V19, V19 == V21, V21 == V23, V23 == V24, V24 == V26, V26 == V28, V28 == V30, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V22, V22 == V25, V25 == V27, V27 == V29; #416 ), references = 1, size of lhs = 2:
% 0.36/0.53 P_e_1-{F}(V0), P_e_0-{F}(V1) | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #466: 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; #447 ), references = 1, size of lhs = 1:
% 0.36/0.53 P_e_0-{F}(V0) | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 #469: exists( #32, #447 ), references = 1, size of lhs = 0:
% 0.36/0.53 FALSE | FALSE
% 0.36/0.53 (used 0 times, uses = {})
% 0.36/0.53
% 0.36/0.53 number of learnt formulas = 19
% 0.36/0.53
% 0.36/0.53
% 0.36/0.53 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.53
% 0.36/0.53 randbase = 1
%------------------------------------------------------------------------------