TSTP Solution File: SYN553-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYN553-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.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 06:24:57 EDT 2022
% Result : Unsatisfiable 0.96s 1.13s
% Output : Refutation 0.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN553-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n024.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 : Sat Jul 23 03:08:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.96/1.13 GeoParameters:
% 0.96/1.13
% 0.96/1.13 tptp_input = 1
% 0.96/1.13 tptp_output = 0
% 0.96/1.13 nonempty = 1
% 0.96/1.13 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.96/1.13 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.96/1.13
% 0.96/1.13
% 0.96/1.13 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.96/1.13 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.96/1.13
% 0.96/1.13 RuleSystem INPUT:
% 0.96/1.13
% 0.96/1.13 Initial Rules:
% 0.96/1.13 #0: input, references = 5, size of lhs = 1:
% 0.96/1.13 #-{F} V0 | p2-{T}(V0,V0)
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #1: input, references = 3, size of lhs = 2:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1) | p2-{T}(V0,V1)
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #2: input, references = 3, size of lhs = 6:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), p2-{F}(V1,V4) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #3: input, references = 3, size of lhs = 6:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), p2-{F}(V0,V4) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #4: input, references = 15, size of lhs = 7:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f8-{F}(V5,V6,V7), P_f8-{F}(V6,V5,V8) | p2-{T}(V7,V8)
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #5: input, references = 11, size of lhs = 7:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), p2-{F}(V6,V5), p2-{F}(V7,V6) | p2-{T}(V7,V5)
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #6: input, references = 8, size of lhs = 9:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f8-{F}(V6,V7,V8), P_f8-{F}(V5,V8,V9), P_f8-{F}(V5,V6,V10), P_f8-{F}(V10,V7,V11) | p2-{T}(V9,V11)
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #7: input, references = 6, size of lhs = 9:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), p2-{F}(V5,V6), P_f8-{F}(V8,V5,V9), P_f8-{F}(V7,V6,V10), p2-{F}(V8,V7) | p2-{T}(V9,V10)
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #8: input, references = 7, size of lhs = 12:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f8-{F}(V5,V1,V6), P_f9-{F}(V0,V7), P_f8-{F}(V6,V7,V8), P_f8-{F}(V7,V1,V9), P_f8-{F}(V5,V9,V10), p2-{F}(V8,V10) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #9: input, references = 4, size of lhs = 0:
% 0.96/1.13 FALSE | EXISTS V0: P_c3-{T}(V0)
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #10: input, references = 4, size of lhs = 0:
% 0.96/1.13 FALSE | EXISTS V0: P_c4-{T}(V0)
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #11: input, references = 5, size of lhs = 1:
% 0.96/1.13 #-{F} V0 | EXISTS V1: P_f5-{T}(V0,V1)
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #12: input, references = 5, size of lhs = 1:
% 0.96/1.13 #-{F} V0 | EXISTS V1: P_f6-{T}(V0,V1)
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #13: input, references = 5, size of lhs = 0:
% 0.96/1.13 FALSE | EXISTS V0: P_c7-{T}(V0)
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #14: input, references = 29, size of lhs = 2:
% 0.96/1.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_f8-{T}(V0,V1,V2)
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #15: input, references = 6, size of lhs = 1:
% 0.96/1.13 #-{F} V0 | EXISTS V1: P_f9-{T}(V0,V1)
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 number of initial rules = 16
% 0.96/1.13
% 0.96/1.13 Simplifiers:
% 0.96/1.13 #16: unsound, references = 3, size of lhs = 3:
% 0.96/1.13 P_c3-{F}(V0), P_c3-{F}(V1), V0 == V1 | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #17: unsound, references = 3, size of lhs = 3:
% 0.96/1.13 P_c4-{F}(V0), P_c4-{F}(V1), V0 == V1 | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #18: unsound, references = 3, size of lhs = 3:
% 0.96/1.13 P_f5-{F}(V0,V1), P_f5-{F}(V0,V3), V1 == V3 | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #19: unsound, references = 3, size of lhs = 3:
% 0.96/1.13 P_f6-{F}(V0,V1), P_f6-{F}(V0,V3), V1 == V3 | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #20: unsound, references = 3, size of lhs = 3:
% 0.96/1.13 P_c7-{F}(V0), P_c7-{F}(V1), V0 == V1 | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #21: unsound, references = 3, size of lhs = 3:
% 0.96/1.13 P_f8-{F}(V0,V1,V2), P_f8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #22: unsound, references = 3, size of lhs = 3:
% 0.96/1.13 P_f9-{F}(V0,V1), P_f9-{F}(V0,V3), V1 == V3 | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 number of simplifiers = 7
% 0.96/1.13
% 0.96/1.13 Learnt:
% 0.96/1.13 #32: mergings( V3 == V8, V4 == V9, V5 == V10, V6 == V11, V7 == V12; #26 ), references = 1, size of lhs = 13:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f8-{F}(V5,V1,V6), P_f9-{F}(V0,V7), P_f8-{F}(V7,V1,V8), P_f8-{F}(V5,V8,V9), P_f8-{F}(V10,V11,V7), P_f8-{F}(V6,V10,V12), P_f8-{F}(V12,V11,V9) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #42: mergings( V3 == V8, V4 == V9, V5 == V10, V6 == V11, V7 == V12; #36 ), references = 2, size of lhs = 11:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f8-{F}(V5,V1,V6), P_f9-{F}(V0,V7), P_f8-{F}(V7,V1,V8), P_f8-{F}(V5,V8,V9), P_f8-{F}(V7,V6,V9) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #44: exists( #14, #42 ), references = 1, size of lhs = 8:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f9-{F}(V0,V5), P_f8-{F}(V5,V1,V6) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #46: exists( #14, #43 ), references = 2, size of lhs = 7:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f9-{F}(V0,V5) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #48: exists( #15, #45 ), references = 2, size of lhs = 5:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V0), P_c7-{F}(V1), P_f6-{F}(V1,V2), P_f5-{F}(V2,V3) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #51: exists( #11, #48 ), references = 1, size of lhs = 4:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V0), P_c7-{F}(V1), P_f6-{F}(V1,V2) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #52: exists( #11, #46 ), references = 1, size of lhs = 6:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f9-{F}(V1,V4), P_f9-{F}(V0,V4) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #54: exists( #12, #49 ), references = 1, size of lhs = 3:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V0), P_c7-{F}(V1) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #56: exists( #13, #53 ), references = 1, size of lhs = 2:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V0) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #76: mergings( V3 == V8, V8 == V13, V4 == V9, V9 == V14, V5 == V10, V6 == V11, V7 == V12, V10 == V15, V11 == V16, V12 == V17; #65 ), references = 5, size of lhs = 14:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f8-{F}(V5,V1,V6), P_f9-{F}(V0,V7), P_f8-{F}(V7,V1,V8), P_f8-{F}(V5,V8,V9), p2-{F}(V7,V10), p2-{F}(V6,V11), P_f8-{F}(V11,V10,V12), p2-{F}(V12,V9) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #79: exists( #14, #77 ), references = 2, size of lhs = 11:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f8-{F}(V5,V1,V6), p2-{F}(V6,V5), P_f9-{F}(V0,V7), P_f8-{F}(V7,V1,V8), p2-{F}(V7,V8) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #96: mergings( V3 == V8, V8 == V13, V4 == V9, V9 == V1, V5 == V10, V6 == V11, V7 == V12, V10 == V14, V11 == V15, V12 == V16; #85 ), references = 1, size of lhs = 11:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f9-{F}(V0,V6), P_f8-{F}(V6,V1,V7), p2-{F}(V6,V7), P_f8-{F}(V1,V5,V8), p2-{F}(V8,V5) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #114: mergings( V3 == V8, V8 == V13, V13 == V18, V4 == V9, V9 == V14, V14 == V0, V5 == V10, V6 == V11, V7 == V12, V10 == V15, V11 == V16, V12 == V17, V15 == V19, V16 == V20, V17 == V21; #98 ), references = 1, size of lhs = 12:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f9-{F}(V0,V6), P_f8-{F}(V6,V1,V7), p2-{F}(V6,V7), P_f8-{F}(V8,V9,V5), P_f8-{F}(V1,V8,V10), P_f8-{F}(V10,V9,V5) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #122: mergings( V3 == V8, V4 == V1, V5 == V9, V6 == V10, V7 == V11; #116 ), references = 3, size of lhs = 13:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f9-{F}(V0,V6), P_f8-{F}(V6,V1,V7), P_f8-{F}(V5,V7,V8), p2-{F}(V6,V9), P_f8-{F}(V1,V5,V10), P_f8-{F}(V10,V9,V11), p2-{F}(V11,V8) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #131: mergings( V3 == V8, V4 == V9, V5 == V10, V6 == V11, V7 == V12; #125 ), references = 1, size of lhs = 12:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f9-{F}(V0,V6), P_f8-{F}(V6,V1,V7), p2-{F}(V6,V8), P_f8-{F}(V1,V5,V9), P_f8-{F}(V9,V8,V10), P_f8-{F}(V7,V5,V10) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #146: mergings( V3 == V8, V8 == V13, V4 == V9, V9 == V14, V5 == V10, V6 == V11, V7 == V12, V10 == V15, V11 == V16, V12 == V17; #135 ), references = 1, size of lhs = 13:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f9-{F}(V0,V6), P_f8-{F}(V6,V1,V7), p2-{F}(V6,V8), P_f8-{F}(V1,V5,V9), P_f8-{F}(V9,V8,V10), p2-{F}(V10,V11), P_f8-{F}(V7,V5,V11) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #155: mergings( V3 == V8, V4 == V9, V5 == V10, V6 == V11, V7 == V12; #149 ), references = 2, size of lhs = 13:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f8-{F}(V5,V1,V6), P_f9-{F}(V0,V7), P_f8-{F}(V7,V1,V8), p2-{F}(V7,V9), p2-{F}(V6,V10), P_f8-{F}(V10,V9,V11), P_f8-{F}(V8,V5,V11) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #169: mergings( V3 == V8, V8 == V13, V4 == V9, V9 == V1, V5 == V10, V6 == V11, V7 == V12, V10 == V14, V11 == V15, V12 == V16; #158 ), references = 1, size of lhs = 13:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f9-{F}(V0,V6), P_f8-{F}(V6,V1,V7), p2-{F}(V6,V8), P_f8-{F}(V7,V5,V9), P_f8-{F}(V1,V5,V10), p2-{F}(V10,V11), P_f8-{F}(V11,V8,V9) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #193: mergings( V3 == V8, V8 == V13, V13 == V18, V18 == V23, V4 == V9, V9 == V14, V14 == V19, V19 == V0, V5 == V10, V6 == V11, V7 == V12, V10 == V15, V11 == V16, V12 == V17, V15 == V20, V16 == V21, V17 == V22, V20 == V24, V21 == V25, V22 == V26; #172 ), references = 1, size of lhs = 15:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f9-{F}(V0,V6), P_f8-{F}(V6,V1,V7), p2-{F}(V6,V8), P_f8-{F}(V7,V5,V9), p2-{F}(V5,V10), p2-{F}(V1,V11), P_f8-{F}(V11,V10,V12), p2-{F}(V12,V13), P_f8-{F}(V13,V8,V9) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #205: mergings( V3 == V8, V4 == V9, V5 == V10, V6 == V11, V7 == V12; #199 ), references = 1, size of lhs = 13:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f8-{F}(V5,V1,V6), P_f9-{F}(V0,V7), P_f8-{F}(V6,V7,V8), P_f8-{F}(V7,V1,V9), p2-{F}(V10,V9), P_f8-{F}(V11,V10,V8), p2-{F}(V11,V5) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #234: mergings( V3 == V8, V8 == V13, V4 == V9, V9 == V14, V5 == V10, V6 == V11, V7 == V12, V10 == V15, V11 == V16, V12 == V17; #223 ), references = 2, size of lhs = 14:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f8-{F}(V5,V1,V6), P_f9-{F}(V0,V7), P_f8-{F}(V7,V1,V8), P_f8-{F}(V5,V8,V9), p2-{F}(V7,V10), p2-{F}(V6,V11), P_f8-{F}(V10,V11,V12), p2-{F}(V12,V9) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #246: mergings( V3 == V8, V8 == V13, V4 == V9, V9 == V14, V5 == V10, V6 == V11, V7 == V12, V10 == V15, V11 == V16, V12 == V17; #235 ), references = 2, size of lhs = 14:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f8-{F}(V5,V1,V6), P_f9-{F}(V0,V7), P_f8-{F}(V7,V1,V8), P_f8-{F}(V5,V8,V9), p2-{F}(V7,V10), p2-{F}(V6,V11), P_f8-{F}(V10,V11,V12), p2-{F}(V12,V9) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #264: mergings( V3 == V8, V8 == V13, V13 == V18, V4 == V9, V9 == V14, V14 == V19, V5 == V10, V6 == V11, V7 == V12, V10 == V15, V11 == V16, V12 == V17, V15 == V20, V16 == V21, V17 == V22; #248 ), references = 1, size of lhs = 15:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f8-{F}(V5,V1,V6), P_f9-{F}(V0,V7), P_f8-{F}(V7,V1,V8), P_f8-{F}(V5,V8,V9), p2-{F}(V7,V10), p2-{F}(V6,V11), P_f8-{F}(V12,V13,V11), P_f8-{F}(V10,V12,V14), P_f8-{F}(V14,V13,V9) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #281: mergings( V3 == V8, V8 == V13, V13 == V18, V4 == V9, V9 == V14, V14 == V19, V5 == V10, V6 == V11, V7 == V12, V10 == V15, V11 == V16, V12 == V17, V15 == V20, V16 == V21, V17 == V22; #265 ), references = 1, size of lhs = 15:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f8-{F}(V5,V1,V6), P_f9-{F}(V0,V7), P_f8-{F}(V7,V1,V8), P_f8-{F}(V5,V8,V9), p2-{F}(V7,V10), p2-{F}(V6,V11), P_f8-{F}(V12,V13,V11), P_f8-{F}(V10,V12,V14), P_f8-{F}(V14,V13,V9) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #304: mergings( V3 == V8, V8 == V13, V4 == V9, V9 == V14, V5 == V10, V6 == V11, V7 == V12, V10 == V15, V11 == V16, V12 == V17; #292 ), references = 1, size of lhs = 16:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f8-{F}(V5,V1,V6), P_f9-{F}(V0,V7), P_f8-{F}(V7,V1,V8), P_f8-{F}(V5,V8,V9), p2-{F}(V7,V10), p2-{F}(V6,V11), p2-{F}(V12,V9), P_f8-{F}(V13,V14,V11), P_f8-{F}(V10,V13,V15), P_f8-{F}(V15,V14,V12) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #315: mergings( V3 == V8, V8 == V13, V4 == V9, V9 == V14, V5 == V10, V6 == V11, V7 == V12, V10 == V15, V11 == V16, V12 == V17; #293 ), references = 1, size of lhs = 16:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f8-{F}(V5,V1,V6), P_f9-{F}(V0,V7), P_f8-{F}(V7,V1,V8), P_f8-{F}(V5,V8,V9), p2-{F}(V7,V10), p2-{F}(V6,V11), p2-{F}(V12,V9), P_f8-{F}(V13,V14,V11), P_f8-{F}(V10,V13,V15), P_f8-{F}(V15,V14,V12) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #328: mergings( V3 == V8, V8 == V13, V4 == V9, V9 == V14, V5 == V10, V6 == V11, V7 == V12, V10 == V15, V11 == V16, V12 == V17; #316 ), references = 1, size of lhs = 16:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f8-{F}(V5,V1,V6), P_f9-{F}(V0,V7), P_f8-{F}(V7,V1,V8), P_f8-{F}(V5,V8,V9), p2-{F}(V7,V10), p2-{F}(V6,V11), p2-{F}(V12,V9), P_f8-{F}(V13,V14,V11), P_f8-{F}(V10,V13,V15), P_f8-{F}(V15,V14,V12) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #339: mergings( V3 == V8, V8 == V13, V4 == V9, V9 == V14, V5 == V10, V6 == V11, V7 == V12, V10 == V15, V11 == V16, V12 == V17; #317 ), references = 1, size of lhs = 16:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f8-{F}(V5,V1,V6), P_f9-{F}(V0,V7), P_f8-{F}(V7,V1,V8), P_f8-{F}(V5,V8,V9), p2-{F}(V7,V10), p2-{F}(V6,V11), p2-{F}(V12,V9), P_f8-{F}(V13,V14,V11), P_f8-{F}(V10,V13,V15), P_f8-{F}(V15,V14,V12) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #359: mergings( V3 == V8, V8 == V13, V13 == V18, V4 == V9, V9 == V14, V14 == V19, V5 == V10, V6 == V11, V7 == V12, V10 == V15, V11 == V16, V12 == V17, V15 == V20, V16 == V21, V17 == V22; #342 ), references = 2, size of lhs = 15:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f8-{F}(V5,V1,V6), P_f9-{F}(V0,V7), P_f8-{F}(V7,V1,V8), p2-{F}(V7,V9), p2-{F}(V6,V10), P_f8-{F}(V8,V5,V11), P_f8-{F}(V12,V13,V10), P_f8-{F}(V9,V12,V14), P_f8-{F}(V14,V13,V11) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #375: mergings( V3 == V8, V8 == V13, V13 == V18, V4 == V9, V9 == V14, V14 == V19, V5 == V10, V6 == V11, V7 == V12, V10 == V15, V11 == V16, V12 == V17, V15 == V20, V16 == V21, V17 == V22; #343 ), references = 2, size of lhs = 15:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f8-{F}(V5,V1,V6), P_f9-{F}(V0,V7), P_f8-{F}(V7,V1,V8), p2-{F}(V7,V9), p2-{F}(V6,V10), P_f8-{F}(V8,V5,V11), P_f8-{F}(V12,V13,V10), P_f8-{F}(V9,V12,V14), P_f8-{F}(V14,V13,V11) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #385: mergings( V3 == V8, V4 == V1, V5 == V9, V6 == V10, V7 == V11; #378 ), references = 1, size of lhs = 14:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f9-{F}(V0,V6), P_f8-{F}(V6,V1,V7), p2-{F}(V6,V8), P_f8-{F}(V7,V5,V9), P_f8-{F}(V1,V5,V10), P_f8-{F}(V11,V12,V10), P_f8-{F}(V8,V11,V13), P_f8-{F}(V13,V12,V9) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #391: mergings( V3 == V8, V4 == V1, V5 == V9, V6 == V10, V7 == V11; #379 ), references = 1, size of lhs = 14:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f9-{F}(V0,V6), P_f8-{F}(V6,V1,V7), p2-{F}(V6,V8), P_f8-{F}(V7,V5,V9), P_f8-{F}(V1,V5,V10), P_f8-{F}(V11,V12,V10), P_f8-{F}(V8,V11,V13), P_f8-{F}(V13,V12,V9) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #399: mergings( V3 == V8, V4 == V0, V5 == V9, V6 == V10, V7 == V11; #392 ), references = 1, size of lhs = 12:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f9-{F}(V0,V6), P_f8-{F}(V6,V1,V7), p2-{F}(V6,V8), P_f8-{F}(V7,V5,V9), P_f8-{F}(V8,V1,V10), P_f8-{F}(V10,V5,V9) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #405: mergings( V3 == V8, V4 == V0, V5 == V9, V6 == V10, V7 == V11; #393 ), references = 1, size of lhs = 12:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f9-{F}(V0,V6), P_f8-{F}(V6,V1,V7), p2-{F}(V6,V8), P_f8-{F}(V7,V5,V9), P_f8-{F}(V8,V1,V10), P_f8-{F}(V10,V5,V9) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #413: mergings( V3 == V8, V4 == V9, V5 == V10, V6 == V11, V7 == V12; #406 ), references = 1, size of lhs = 10:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f9-{F}(V0,V6), P_f8-{F}(V6,V1,V7), p2-{F}(V6,V8), P_f8-{F}(V8,V1,V7) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #419: mergings( V3 == V8, V4 == V9, V5 == V10, V6 == V11, V7 == V12; #407 ), references = 1, size of lhs = 10:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f9-{F}(V0,V6), P_f8-{F}(V6,V1,V7), p2-{F}(V6,V8), P_f8-{F}(V8,V1,V7) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #427: mergings( V3 == V8, V4 == V1, V5 == V9, V6 == V10, V7 == V11; #420 ), references = 1, size of lhs = 8:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f9-{F}(V0,V6), p2-{F}(V6,V6) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #433: mergings( V3 == V8, V4 == V1, V5 == V9, V6 == V10, V7 == V11; #421 ), references = 1, size of lhs = 8:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V1,V5), P_f9-{F}(V0,V6), p2-{F}(V6,V6) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #441: mergings( V2 == V7, V3 == V0, V4 == V8, V5 == V9, V6 == V10; #434 ), references = 1, size of lhs = 7:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f5-{F}(V3,V4), P_f9-{F}(V0,V5), p2-{F}(V5,V5) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #447: mergings( V2 == V5, V3 == V6, V4 == V7; #442 ), references = 2, size of lhs = 6:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3), P_f9-{F}(V0,V4), p2-{F}(V4,V4) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #450: exists( #15, #448 ), references = 1, size of lhs = 4:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2), P_f6-{F}(V2,V3) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #452: exists( #12, #449 ), references = 1, size of lhs = 3:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1), P_c7-{F}(V2) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #454: exists( #13, #451 ), references = 1, size of lhs = 2:
% 0.96/1.13 P_c3-{F}(V0), P_c4-{F}(V1) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #456: exists( #10, #453 ), references = 1, size of lhs = 1:
% 0.96/1.13 P_c3-{F}(V0) | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 #458: exists( #9, #455 ), references = 1, size of lhs = 0:
% 0.96/1.13 FALSE | FALSE
% 0.96/1.13 (used 0 times, uses = {})
% 0.96/1.13
% 0.96/1.13 number of learnt formulas = 45
% 0.96/1.13
% 0.96/1.13
% 0.96/1.13 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.96/1.13
% 0.96/1.13 randbase = 1
%------------------------------------------------------------------------------