TSTP Solution File: GRP660-10 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP660-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n009.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 06:04:22 EDT 2022
% Result : Unsatisfiable 15.36s 15.60s
% Output : Refutation 15.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP660-10 : TPTP v8.1.0. Released v8.1.0.
% 0.08/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n009.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 14:22:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 15.36/15.60 GeoParameters:
% 15.36/15.60
% 15.36/15.60 tptp_input = 1
% 15.36/15.60 tptp_output = 0
% 15.36/15.60 nonempty = 1
% 15.36/15.60 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.36/15.60 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 15.36/15.60
% 15.36/15.60
% 15.36/15.60 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.36/15.60 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.36/15.60
% 15.36/15.60 RuleSystem INPUT:
% 15.36/15.60
% 15.36/15.60 Initial Rules:
% 15.36/15.60 #0: input, references = 8, size of lhs = 3:
% 15.36/15.60 P_ld-{F}(V0,V1,V2), P_mult-{F}(V0,V2,V3), V3 == V1 | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #1: input, references = 9, size of lhs = 3:
% 15.36/15.60 P_mult-{F}(V0,V1,V2), P_ld-{F}(V0,V2,V3), V3 == V1 | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #2: input, references = 5, size of lhs = 3:
% 15.36/15.60 P_rd-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), V3 == V0 | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #3: input, references = 9, size of lhs = 3:
% 15.36/15.60 P_mult-{F}(V0,V1,V2), P_rd-{F}(V2,V1,V3), V3 == V0 | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #4: input, references = 9, size of lhs = 7:
% 15.36/15.60 P_mult-{F}(V0,V1,V3), P_mult-{F}(V3,V2,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V2,V0,V6), P_mult-{F}(V1,V6,V7), P_mult-{F}(V0,V7,V8), V5 == V8 | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #5: input, references = 4, size of lhs = 6:
% 15.36/15.60 P_x1-{F}(V0,V1), P_mult-{F}(V0,V1,V2), P_x1_2-{F}(V0,V3), P_mult-{F}(V3,V0,V4), P_tuple-{F}(V2,V4,V6), P_tuple-{F}(V1,V3,V6) | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #6: input, references = 15, size of lhs = 2:
% 15.36/15.60 #-{F} V0, #-{F} V1 | EXISTS V2: P_mult-{T}(V0,V1,V2)
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #7: input, references = 19, size of lhs = 2:
% 15.36/15.60 #-{F} V0, #-{F} V1 | EXISTS V2: P_ld-{T}(V0,V1,V2)
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #8: input, references = 14, size of lhs = 2:
% 15.36/15.60 #-{F} V0, #-{F} V1 | EXISTS V2: P_rd-{T}(V0,V1,V2)
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #9: input, references = 4, size of lhs = 2:
% 15.36/15.60 #-{F} V0, #-{F} V1 | EXISTS V2: P_tuple-{T}(V0,V1,V2)
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #10: input, references = 4, size of lhs = 1:
% 15.36/15.60 #-{F} V0 | EXISTS V1: P_x1-{T}(V0,V1)
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #11: input, references = 4, size of lhs = 1:
% 15.36/15.60 #-{F} V0 | EXISTS V1: P_x1_2-{T}(V0,V1)
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 number of initial rules = 12
% 15.36/15.60
% 15.36/15.60 Simplifiers:
% 15.36/15.60 #12: unsound, references = 3, size of lhs = 3:
% 15.36/15.60 P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V1,V5), V2 == V5 | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #13: unsound, references = 3, size of lhs = 3:
% 15.36/15.60 P_ld-{F}(V0,V1,V2), P_ld-{F}(V0,V1,V5), V2 == V5 | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #14: unsound, references = 3, size of lhs = 3:
% 15.36/15.60 P_rd-{F}(V0,V1,V2), P_rd-{F}(V0,V1,V5), V2 == V5 | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #15: unsound, references = 3, size of lhs = 3:
% 15.36/15.60 P_tuple-{F}(V0,V1,V2), P_tuple-{F}(V0,V1,V5), V2 == V5 | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #16: unsound, references = 3, size of lhs = 3:
% 15.36/15.60 P_x1-{F}(V0,V1), P_x1-{F}(V0,V3), V1 == V3 | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #17: unsound, references = 3, size of lhs = 3:
% 15.36/15.60 P_x1_2-{F}(V0,V1), P_x1_2-{F}(V0,V3), V1 == V3 | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 number of simplifiers = 6
% 15.36/15.60
% 15.36/15.60 Learnt:
% 15.36/15.60 #19: exists( #6, #0 ), references = 31, size of lhs = 1:
% 15.36/15.60 P_ld-{F}(V0,V1,V2) | P_mult-{T}(V0,V2,V1)
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #21: exists( #7, #1 ), references = 16, size of lhs = 1:
% 15.36/15.60 P_mult-{F}(V0,V1,V2) | P_ld-{T}(V0,V2,V1)
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #23: exists( #6, #2 ), references = 26, size of lhs = 1:
% 15.36/15.60 P_rd-{F}(V0,V1,V2) | P_mult-{T}(V2,V1,V0)
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #25: exists( #8, #3 ), references = 13, size of lhs = 1:
% 15.36/15.60 P_mult-{F}(V0,V1,V2) | P_rd-{T}(V2,V1,V0)
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #27: exists( #6, #4 ), references = 17, size of lhs = 5:
% 15.36/15.60 P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V3,V0,V6), P_mult-{F}(V1,V6,V7) | P_mult-{T}(V0,V7,V5)
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #30: exists( #6, #28 ), references = 30, size of lhs = 5:
% 15.36/15.60 P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V3,V0,V6), P_ld-{F}(V0,V5,V7) | P_mult-{T}(V1,V6,V7)
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #32: exists( #9, #5 ), references = 2, size of lhs = 4:
% 15.36/15.60 P_x1-{F}(V0,V1), P_mult-{F}(V0,V1,V1), P_x1_2-{F}(V0,V2), P_mult-{F}(V2,V0,V2) | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #43: exists( #7, #41 ), references = 17, size of lhs = 5:
% 15.36/15.60 P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V1,V3,V5), P_ld-{F}(V3,V4,V6), P_rd-{F}(V6,V5,V7) | P_ld-{T}(V3,V0,V7)
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #81: exists( #7, #75 ), references = 1, size of lhs = 7:
% 15.36/15.60 P_mult-{F}(V0,V1,V1), P_ld-{F}(V1,V2,V0), P_mult-{F}(V3,V1,V2), P_mult-{F}(V0,V4,V3), P_mult-{F}(V4,V1,V5), P_mult-{F}(V5,V0,V6), V5 == V6 | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #82: exists( #7, #76 ), references = 1, size of lhs = 11:
% 15.36/15.60 P_mult-{F}(V0,V1,V1), P_ld-{F}(V1,V2,V0), P_mult-{F}(V3,V1,V2), P_mult-{F}(V4,V5,V3), P_mult-{F}(V5,V1,V6), P_mult-{F}(V6,V4,V7), P_mult-{F}(V8,V1,V7), P_mult-{F}(V4,V8,V9), P_mult-{F}(V9,V1,V10), P_mult-{F}(V1,V4,V11), V10 == V11 | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #83: exists( #7, #77 ), references = 1, size of lhs = 7:
% 15.36/15.60 P_mult-{F}(V0,V1,V1), P_ld-{F}(V1,V2,V0), P_mult-{F}(V3,V1,V2), P_mult-{F}(V4,V5,V3), P_mult-{F}(V5,V1,V6), P_mult-{F}(V6,V4,V7), P_rd-{F}(V4,V7,V8) | P_ld-{T}(V1,V4,V8)
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #109: exists( #8, #107 ), references = 12, size of lhs = 5:
% 15.36/15.60 P_mult-{F}(V0,V1,V2), P_ld-{F}(V1,V2,V3), P_mult-{F}(V4,V1,V5), P_rd-{F}(V3,V5,V6), P_mult-{F}(V1,V6,V7) | P_rd-{T}(V0,V4,V7)
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #122: exists( #6, #116 ), references = 1, size of lhs = 10:
% 15.36/15.60 P_x1-{F}(V0,V1), P_mult-{F}(V0,V1,V1), P_x1_2-{F}(V0,V2), P_mult-{F}(V3,V2,V4), P_ld-{F}(V3,V5,V2), P_mult-{F}(V5,V4,V6), P_ld-{F}(V4,V6,V7), P_mult-{F}(V3,V4,V8), P_rd-{F}(V7,V8,V9), P_mult-{F}(V9,V3,V0) | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #123: exists( #6, #117 ), references = 1, size of lhs = 12:
% 15.36/15.60 P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V1,V3), P_mult-{F}(V2,V3,V4), P_mult-{F}(V5,V3,V6), P_ld-{F}(V3,V6,V7), P_rd-{F}(V7,V4,V8), P_mult-{F}(V8,V2,V9), P_ld-{F}(V2,V5,V10), P_mult-{F}(V9,V11,V0), P_mult-{F}(V11,V10,V12), P_mult-{F}(V9,V12,V13), V10 == V13 | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #124: exists( #6, #118 ), references = 4, size of lhs = 9:
% 15.36/15.60 P_ld-{F}(V0,V1,V2), P_mult-{F}(V0,V3,V4), P_mult-{F}(V1,V4,V5), P_ld-{F}(V4,V5,V6), P_mult-{F}(V0,V4,V7), P_rd-{F}(V6,V7,V8), P_mult-{F}(V8,V0,V9), P_ld-{F}(V3,V10,V9), V2 == V10 | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #131: exists( #6, #125 ), references = 2, size of lhs = 8:
% 15.36/15.60 P_x1-{F}(V0,V1), P_mult-{F}(V0,V1,V1), P_x1_2-{F}(V0,V2), P_mult-{F}(V3,V2,V4), P_ld-{F}(V3,V4,V2), P_mult-{F}(V3,V4,V5), P_rd-{F}(V4,V5,V6), P_mult-{F}(V6,V3,V0) | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #132: exists( #6, #127 ), references = 2, size of lhs = 7:
% 15.36/15.60 P_mult-{F}(V0,V1,V2), P_ld-{F}(V0,V2,V3), P_mult-{F}(V0,V2,V4), P_rd-{F}(V2,V4,V5), P_mult-{F}(V5,V0,V6), P_ld-{F}(V1,V7,V6), V3 == V7 | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #202: exists( #7, #197 ), references = 1, size of lhs = 9:
% 15.36/15.60 P_rd-{F}(V0,V0,V1), P_mult-{F}(V0,V1,V1), P_ld-{F}(V0,V2,V3), V0 == V2, P_rd-{F}(V4,V3,V0), P_mult-{F}(V5,V1,V4), P_mult-{F}(V3,V5,V6), P_mult-{F}(V6,V1,V7), P_ld-{F}(V1,V7,V3) | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #203: exists( #7, #198 ), references = 1, size of lhs = 11:
% 15.36/15.60 P_mult-{F}(V0,V0,V1), P_ld-{F}(V0,V1,V2), P_rd-{F}(V2,V0,V3), P_mult-{F}(V0,V3,V3), P_ld-{F}(V0,V4,V5), V0 == V4, P_rd-{F}(V6,V5,V0), P_mult-{F}(V7,V3,V6), P_mult-{F}(V5,V7,V8), P_mult-{F}(V8,V3,V9), P_ld-{F}(V3,V9,V5) | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #204: exists( #7, #196 ), references = 1, size of lhs = 7:
% 15.36/15.60 P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V1,V3), P_mult-{F}(V4,V2,V5), P_mult-{F}(V5,V1,V6), P_ld-{F}(V1,V6,V4), P_rd-{F}(V3,V4,V7), P_rd-{F}(V0,V7,V8) | P_ld-{T}(V1,V4,V8)
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #296: exists( #8, #292 ), references = 1, size of lhs = 15:
% 15.36/15.60 P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V1,V3), P_mult-{F}(V4,V1,V5), P_ld-{F}(V1,V5,V6), P_rd-{F}(V6,V3,V7), P_mult-{F}(V7,V8,V0), P_mult-{F}(V2,V9,V8), P_rd-{F}(V10,V4,V9), P_ld-{F}(V2,V11,V10), P_mult-{F}(V12,V2,V11), P_ld-{F}(V12,V13,V12), P_mult-{F}(V14,V12,V13), P_mult-{F}(V15,V7,V14), P_mult-{F}(V12,V16,V15), V8 == V16 | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #302: exists( #7, #300 ), references = 1, size of lhs = 20:
% 15.36/15.60 P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V1,V3), P_mult-{F}(V4,V1,V5), P_ld-{F}(V1,V5,V6), P_mult-{F}(V7,V8,V3), P_ld-{F}(V8,V9,V6), P_mult-{F}(V10,V8,V9), P_mult-{F}(V11,V7,V10), P_ld-{F}(V8,V12,V0), P_mult-{F}(V13,V8,V12), P_mult-{F}(V11,V14,V13), P_mult-{F}(V14,V8,V15), P_mult-{F}(V2,V16,V15), P_rd-{F}(V17,V4,V16), P_ld-{F}(V2,V18,V17), P_mult-{F}(V19,V2,V18), P_mult-{F}(V11,V19,V20), P_ld-{F}(V19,V20,V19), P_mult-{F}(V19,V21,V8), V15 == V21 | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #305: exists( #7, #303 ), references = 1, size of lhs = 18:
% 15.36/15.60 P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V1,V3), P_mult-{F}(V4,V1,V5), P_ld-{F}(V1,V5,V6), P_mult-{F}(V7,V8,V3), P_ld-{F}(V8,V9,V6), P_mult-{F}(V10,V8,V9), P_mult-{F}(V11,V7,V10), P_ld-{F}(V8,V12,V0), P_mult-{F}(V13,V8,V12), P_mult-{F}(V11,V14,V13), P_mult-{F}(V14,V8,V15), P_mult-{F}(V2,V16,V15), P_rd-{F}(V17,V4,V16), P_ld-{F}(V2,V18,V17), P_mult-{F}(V19,V2,V18), P_mult-{F}(V11,V19,V20), P_ld-{F}(V19,V20,V19) | P_ld-{T}(V19,V8,V15)
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #386: exists( #8, #384 ), references = 1, size of lhs = 19:
% 15.36/15.60 P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V1,V3), P_mult-{F}(V4,V1,V5), P_ld-{F}(V1,V5,V6), P_rd-{F}(V6,V3,V7), P_mult-{F}(V7,V8,V0), P_mult-{F}(V2,V9,V8), P_rd-{F}(V10,V4,V9), P_ld-{F}(V2,V11,V10), P_mult-{F}(V12,V2,V11), P_mult-{F}(V2,V13,V14), P_mult-{F}(V12,V14,V15), P_mult-{F}(V15,V7,V16), P_mult-{F}(V16,V12,V17), P_ld-{F}(V12,V17,V18), P_mult-{F}(V18,V2,V19), P_mult-{F}(V13,V4,V20), P_mult-{F}(V2,V20,V21), V19 == V21 | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #391: exists( #7, #389 ), references = 1, size of lhs = 20:
% 15.36/15.60 P_mult-{F}(V0,V1,V1), P_ld-{F}(V1,V2,V0), P_mult-{F}(V3,V1,V2), P_mult-{F}(V4,V1,V5), P_mult-{F}(V4,V6,V5), P_rd-{F}(V7,V3,V6), P_ld-{F}(V4,V8,V7), P_mult-{F}(V9,V4,V8), P_mult-{F}(V4,V10,V11), P_mult-{F}(V9,V11,V12), P_mult-{F}(V13,V12,V5), P_mult-{F}(V10,V3,V14), P_mult-{F}(V4,V14,V15), P_ld-{F}(V12,V16,V0), P_mult-{F}(V17,V12,V16), P_mult-{F}(V18,V13,V17), P_mult-{F}(V18,V9,V19), P_ld-{F}(V9,V19,V20), P_mult-{F}(V20,V4,V21), V21 == V15 | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #446: exists( #8, #444 ), references = 4, size of lhs = 7:
% 15.36/15.60 P_mult-{F}(V0,V1,V0), P_mult-{F}(V0,V2,V1), P_ld-{F}(V0,V3,V4), P_mult-{F}(V3,V1,V5), P_ld-{F}(V1,V5,V6), P_ld-{F}(V2,V7,V6), V4 == V7 | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #514: exists( #8, #512 ), references = 1, size of lhs = 19:
% 15.36/15.60 P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V1,V3), P_ld-{F}(V1,V3,V4), P_mult-{F}(V5,V1,V6), P_rd-{F}(V4,V6,V7), P_mult-{F}(V7,V8,V0), P_mult-{F}(V5,V9,V8), P_rd-{F}(V10,V2,V9), P_ld-{F}(V5,V11,V10), P_mult-{F}(V12,V5,V11), P_mult-{F}(V12,V13,V14), P_mult-{F}(V14,V7,V15), P_mult-{F}(V15,V12,V16), P_ld-{F}(V12,V16,V17), P_mult-{F}(V18,V13,V5), P_mult-{F}(V17,V18,V19), P_mult-{F}(V19,V13,V20), P_rd-{F}(V20,V2,V21), V21 == V13 | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #519: exists( #7, #517 ), references = 1, size of lhs = 20:
% 15.36/15.60 P_mult-{F}(V0,V1,V1), P_ld-{F}(V1,V2,V0), P_mult-{F}(V3,V1,V2), P_mult-{F}(V4,V1,V5), P_mult-{F}(V4,V6,V5), P_rd-{F}(V7,V3,V6), P_ld-{F}(V4,V8,V7), P_mult-{F}(V9,V4,V8), P_mult-{F}(V9,V10,V11), P_mult-{F}(V12,V11,V5), P_mult-{F}(V13,V10,V4), P_ld-{F}(V11,V14,V0), P_mult-{F}(V15,V11,V14), P_mult-{F}(V16,V12,V15), P_mult-{F}(V16,V9,V17), P_ld-{F}(V9,V17,V18), P_mult-{F}(V18,V13,V19), P_mult-{F}(V19,V10,V20), P_rd-{F}(V20,V3,V21), V21 == V10 | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #613: mergings( V20 == V0; #610 ), references = 1, size of lhs = 25:
% 15.36/15.60 P_mult-{F}(V0,V0,V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V6,V0,V5), P_ld-{F}(V0,V6,V7), V7 == V5, P_mult-{F}(V8,V3,V9), P_mult-{F}(V10,V3,V11), P_mult-{F}(V8,V11,V12), P_ld-{F}(V11,V12,V13), P_rd-{F}(V13,V0,V14), P_mult-{F}(V11,V14,V15), P_mult-{F}(V16,V17,V17), P_mult-{F}(V11,V17,V18), P_mult-{F}(V0,V17,V19), P_ld-{F}(V17,V19,V20), P_rd-{F}(V20,V18,V21), P_mult-{F}(V21,V15,V16), P_mult-{F}(V9,V21,V22), P_mult-{F}(V22,V8,V23), P_ld-{F}(V8,V23,V24), P_mult-{F}(V24,V10,V25), P_mult-{F}(V25,V3,V26), P_mult-{F}(V1,V26,V27) | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #615: mergings( V0 == V4; #611 ), references = 1, size of lhs = 27:
% 15.36/15.60 P_mult-{F}(V0,V1,V1), P_mult-{F}(V1,V2,V3), P_mult-{F}(V3,V4,V5), P_mult-{F}(V5,V1,V6), P_mult-{F}(V7,V1,V6), P_ld-{F}(V0,V7,V8), V8 == V6, P_mult-{F}(V9,V4,V10), P_mult-{F}(V11,V10,V12), P_ld-{F}(V10,V12,V13), P_rd-{F}(V13,V1,V14), P_mult-{F}(V10,V14,V15), P_mult-{F}(V11,V4,V16), P_mult-{F}(V1,V17,V18), P_mult-{F}(V10,V17,V19), P_ld-{F}(V17,V18,V20), P_rd-{F}(V20,V19,V21), P_mult-{F}(V21,V15,V22), P_mult-{F}(V22,V17,V17), P_mult-{F}(V16,V21,V23), P_mult-{F}(V23,V11,V24), P_ld-{F}(V11,V24,V25), P_mult-{F}(V25,V9,V26), P_mult-{F}(V26,V4,V27), P_mult-{F}(V2,V27,V28), P_rd-{F}(V28,V1,V29), P_mult-{F}(V29,V0,V28) | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #625: mergings( V3 == V4; #622 ), references = 1, size of lhs = 26:
% 15.36/15.60 P_mult-{F}(V0,V0,V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V6,V0,V5), P_ld-{F}(V0,V6,V7), V7 == V5, P_mult-{F}(V8,V3,V9), P_mult-{F}(V10,V8,V11), P_ld-{F}(V8,V11,V12), P_mult-{F}(V13,V3,V14), P_mult-{F}(V8,V14,V15), P_ld-{F}(V14,V15,V16), P_rd-{F}(V16,V0,V17), P_mult-{F}(V14,V17,V18), P_mult-{F}(V19,V9,V18), P_mult-{F}(V10,V19,V20), P_mult-{F}(V20,V9,V21), P_ld-{F}(V9,V21,V22), P_mult-{F}(V22,V23,V23), P_mult-{F}(V14,V23,V18), P_mult-{F}(V0,V23,V24), P_ld-{F}(V23,V24,V22), P_mult-{F}(V12,V13,V25), P_mult-{F}(V25,V3,V26), P_mult-{F}(V1,V26,V27) | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #627: mergings( V4 == V5; #623 ), references = 1, size of lhs = 28:
% 15.36/15.60 P_mult-{F}(V0,V1,V1), P_mult-{F}(V1,V2,V3), P_mult-{F}(V3,V4,V5), P_mult-{F}(V5,V1,V6), P_mult-{F}(V7,V1,V6), P_ld-{F}(V0,V7,V8), V8 == V6, P_mult-{F}(V9,V4,V10), P_mult-{F}(V11,V10,V12), P_ld-{F}(V10,V12,V13), P_rd-{F}(V13,V1,V14), P_mult-{F}(V10,V14,V15), P_mult-{F}(V11,V4,V16), P_mult-{F}(V17,V16,V15), P_mult-{F}(V10,V18,V15), P_mult-{F}(V1,V18,V19), P_ld-{F}(V18,V19,V20), P_mult-{F}(V20,V18,V18), P_ld-{F}(V16,V21,V20), P_mult-{F}(V22,V16,V21), P_mult-{F}(V23,V17,V22), P_mult-{F}(V23,V11,V24), P_ld-{F}(V11,V24,V25), P_mult-{F}(V25,V9,V26), P_mult-{F}(V26,V4,V27), P_mult-{F}(V2,V27,V28), P_rd-{F}(V28,V1,V29), P_mult-{F}(V29,V0,V28) | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #631: mergings( V0 == V3; #628 ), references = 2, size of lhs = 24:
% 15.36/15.60 P_mult-{F}(V0,V0,V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V6,V0,V5), P_mult-{F}(V7,V3,V8), P_mult-{F}(V9,V7,V10), P_ld-{F}(V7,V10,V11), P_mult-{F}(V12,V3,V13), P_mult-{F}(V7,V13,V14), P_ld-{F}(V13,V14,V15), P_rd-{F}(V15,V0,V16), P_mult-{F}(V13,V16,V17), P_mult-{F}(V18,V8,V17), P_mult-{F}(V9,V18,V19), P_mult-{F}(V19,V8,V20), P_ld-{F}(V8,V20,V21), P_mult-{F}(V21,V22,V22), P_mult-{F}(V13,V22,V17), P_mult-{F}(V0,V22,V23), P_ld-{F}(V22,V23,V21), P_mult-{F}(V11,V12,V24), P_mult-{F}(V24,V3,V25), P_mult-{F}(V1,V25,V26) | P_ld-{T}(V0,V6,V5)
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #633: mergings( V3 == V4; #629 ), references = 1, size of lhs = 26:
% 15.36/15.60 P_mult-{F}(V0,V1,V1), P_mult-{F}(V1,V2,V3), P_mult-{F}(V3,V4,V5), P_mult-{F}(V5,V1,V6), P_mult-{F}(V7,V1,V6), P_mult-{F}(V8,V4,V9), P_mult-{F}(V10,V9,V11), P_ld-{F}(V9,V11,V12), P_rd-{F}(V12,V1,V13), P_mult-{F}(V9,V13,V14), P_mult-{F}(V10,V4,V15), P_mult-{F}(V16,V15,V14), P_mult-{F}(V9,V17,V14), P_mult-{F}(V1,V17,V18), P_ld-{F}(V17,V18,V19), P_mult-{F}(V19,V17,V17), P_ld-{F}(V15,V20,V19), P_mult-{F}(V21,V15,V20), P_mult-{F}(V22,V16,V21), P_mult-{F}(V22,V10,V23), P_ld-{F}(V10,V23,V24), P_mult-{F}(V24,V8,V25), P_mult-{F}(V25,V4,V26), P_mult-{F}(V2,V26,V27), P_rd-{F}(V27,V1,V28), P_mult-{F}(V28,V0,V27) | P_ld-{T}(V0,V7,V6)
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #657: mergings( V16 == V17; #655 ), references = 1, size of lhs = 33:
% 15.36/15.60 P_mult-{F}(V0,V0,V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V2,V2), P_mult-{F}(V2,V4,V0), P_mult-{F}(V2,V2,V5), P_mult-{F}(V2,V5,V2), P_mult-{F}(V6,V2,V2), P_ld-{F}(V2,V7,V6), P_mult-{F}(V8,V2,V7), P_mult-{F}(V9,V0,V10), P_mult-{F}(V9,V3,V10), P_mult-{F}(V4,V9,V10), P_mult-{F}(V11,V0,V10), P_mult-{F}(V2,V11,V10), P_mult-{F}(V9,V11,V12), P_ld-{F}(V11,V12,V13), P_mult-{F}(V13,V0,V10), P_mult-{F}(V13,V2,V14), P_mult-{F}(V9,V2,V14), P_mult-{F}(V2,V9,V15), V9 == V15, P_ld-{F}(V9,V15,V16), P_rd-{F}(V16,V0,V17), P_mult-{F}(V9,V17,V18), P_mult-{F}(V19,V9,V18), P_mult-{F}(V8,V19,V20), P_mult-{F}(V20,V9,V21), P_ld-{F}(V9,V21,V22), P_mult-{F}(V22,V23,V23), P_mult-{F}(V9,V23,V18), P_mult-{F}(V0,V23,V24), P_ld-{F}(V23,V24,V22), P_mult-{F}(V1,V9,V25) | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #660: mergings( V14 == V15; #658 ), references = 1, size of lhs = 30:
% 15.36/15.60 P_mult-{F}(V0,V0,V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V2,V2), P_mult-{F}(V2,V4,V0), P_mult-{F}(V2,V2,V5), P_mult-{F}(V2,V5,V2), P_mult-{F}(V6,V2,V2), P_ld-{F}(V2,V7,V6), P_mult-{F}(V8,V2,V7), P_mult-{F}(V9,V0,V10), P_mult-{F}(V2,V9,V10), P_mult-{F}(V11,V3,V10), P_mult-{F}(V4,V11,V10), P_mult-{F}(V11,V0,V10), P_mult-{F}(V11,V9,V12), P_ld-{F}(V9,V12,V11), P_mult-{F}(V2,V11,V13), V11 == V13, P_ld-{F}(V11,V13,V14), P_rd-{F}(V14,V0,V15), P_mult-{F}(V11,V15,V16), P_mult-{F}(V17,V11,V16), P_mult-{F}(V8,V17,V18), P_mult-{F}(V18,V11,V19), P_ld-{F}(V11,V19,V20), P_mult-{F}(V20,V21,V21), P_mult-{F}(V11,V21,V16), P_mult-{F}(V0,V21,V22), P_ld-{F}(V21,V22,V20), P_mult-{F}(V1,V11,V23) | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #665: mergings( V11 == V12, V12 == V13; #662 ), references = 1, size of lhs = 26:
% 15.36/15.60 P_mult-{F}(V0,V0,V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V2,V2), P_mult-{F}(V2,V4,V0), P_mult-{F}(V2,V2,V5), P_mult-{F}(V2,V5,V2), P_mult-{F}(V6,V2,V2), P_ld-{F}(V2,V7,V6), P_mult-{F}(V8,V2,V7), P_mult-{F}(V9,V3,V10), V9 == V10, P_mult-{F}(V4,V9,V10), P_mult-{F}(V9,V0,V10), P_mult-{F}(V2,V9,V10), P_ld-{F}(V9,V10,V11), P_rd-{F}(V11,V0,V12), P_mult-{F}(V9,V12,V13), P_mult-{F}(V14,V9,V13), P_mult-{F}(V8,V14,V15), P_mult-{F}(V15,V9,V16), P_ld-{F}(V9,V16,V17), P_mult-{F}(V17,V18,V18), P_mult-{F}(V9,V18,V13), P_mult-{F}(V0,V18,V19), P_ld-{F}(V18,V19,V17), P_mult-{F}(V1,V9,V20) | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #689: exists( #7, #446 ), references = 2, size of lhs = 5:
% 15.36/15.60 P_mult-{F}(V0,V1,V0), P_mult-{F}(V0,V2,V1), P_mult-{F}(V3,V1,V4), P_ld-{F}(V1,V4,V5), P_ld-{F}(V2,V6,V5) | P_ld-{T}(V0,V3,V6)
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #703: mergings( V3 == V0; #701 ), references = 3, size of lhs = 4:
% 15.36/15.60 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V0,V2,V3), V3 == V1 | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #729: exists( #8, #726 ), references = 2, size of lhs = 2:
% 15.36/15.60 P_mult-{F}(V0,V0,V0), P_mult-{F}(V0,V1,V2) | P_rd-{T}(V1,V0,V2)
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #736: mergings( V1 == V4; #733 ), references = 1, size of lhs = 3:
% 15.36/15.60 P_mult-{F}(V0,V0,V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V0,V1) | P_mult-{T}(V1,V0,V1)
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #737: exists( #6, #731 ), references = 1, size of lhs = 6:
% 15.36/15.60 P_mult-{F}(V0,V1,V1), P_mult-{F}(V1,V1,V2), P_mult-{F}(V1,V3,V4), P_mult-{F}(V4,V0,V3), P_mult-{F}(V2,V3,V5), P_mult-{F}(V5,V1,V6) | P_mult-{T}(V3,V1,V6)
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #750: exists( #6, #744 ), references = 2, size of lhs = 2:
% 15.36/15.60 P_mult-{F}(V0,V0,V0), #-{F} V1 | P_mult-{T}(V0,V1,V1)
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #756: mergings( V2 == V0; #754 ), references = 2, size of lhs = 3:
% 15.36/15.60 P_mult-{F}(V0,V0,V0), P_x1-{F}(V0,V1), P_mult-{F}(V0,V1,V1) | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #759: exists( #10, #757 ), references = 2, size of lhs = 1:
% 15.36/15.60 P_mult-{F}(V0,V0,V0) | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #840: exists( #8, #837 ), references = 1, size of lhs = 13:
% 15.36/15.60 P_mult-{F}(V0,V1,V0), P_mult-{F}(V0,V2,V1), P_mult-{F}(V3,V2,V4), P_mult-{F}(V4,V5,V1), P_mult-{F}(V6,V3,V7), P_mult-{F}(V7,V2,V8), P_ld-{F}(V2,V8,V9), P_rd-{F}(V10,V9,V5), P_ld-{F}(V4,V11,V10), P_mult-{F}(V12,V4,V11), P_mult-{F}(V13,V1,V12), P_ld-{F}(V0,V13,V14), V14 == V6 | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #917: exists( #8, #915 ), references = 2, size of lhs = 5:
% 15.36/15.60 P_mult-{F}(V0,V1,V2), P_ld-{F}(V1,V2,V3), P_rd-{F}(V3,V4,V5), P_mult-{F}(V1,V5,V6), P_ld-{F}(V6,V0,V7) | P_rd-{T}(V4,V1,V7)
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #979: exists( #7, #973 ), references = 1, size of lhs = 13:
% 15.36/15.60 P_rd-{F}(V0,V1,V0), P_mult-{F}(V2,V3,V0), P_mult-{F}(V4,V3,V5), P_mult-{F}(V5,V6,V3), P_ld-{F}(V7,V3,V6), P_mult-{F}(V7,V2,V8), P_mult-{F}(V8,V3,V9), P_ld-{F}(V3,V9,V7), P_mult-{F}(V7,V4,V10), P_mult-{F}(V10,V3,V7), P_mult-{F}(V7,V5,V11), P_ld-{F}(V5,V11,V12), V12 == V1 | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #980: exists( #7, #974 ), references = 1, size of lhs = 7:
% 15.36/15.60 P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), V3 == V1, P_mult-{F}(V4,V1,V5), P_mult-{F}(V5,V0,V4), P_mult-{F}(V5,V2,V6), P_ld-{F}(V2,V6,V5) | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #981: exists( #7, #975 ), references = 1, size of lhs = 7:
% 15.36/15.60 P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V1), V1 == V3, P_mult-{F}(V4,V1,V5), P_mult-{F}(V5,V0,V4), P_mult-{F}(V5,V2,V6), P_ld-{F}(V2,V6,V5) | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #1010: mergings( V3 == V10, V4 == V1; #1007 ), references = 1, size of lhs = 15:
% 15.36/15.60 P_ld-{F}(V0,V1,V0), P_mult-{F}(V0,V0,V1), P_mult-{F}(V2,V0,V3), P_mult-{F}(V2,V4,V3), P_mult-{F}(V4,V3,V5), P_rd-{F}(V3,V5,V6), P_mult-{F}(V6,V0,V3), P_mult-{F}(V0,V3,V7), P_mult-{F}(V7,V3,V0), P_mult-{F}(V8,V3,V0), P_ld-{F}(V0,V9,V3), P_mult-{F}(V10,V0,V9), V3 == V10, P_mult-{F}(V10,V8,V11), P_mult-{F}(V11,V3,V0) | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #1017: mergings( V3 == V7, V7 == V5, V5 == V8; #1013 ), references = 1, size of lhs = 13:
% 15.36/15.60 P_ld-{F}(V0,V1,V0), P_mult-{F}(V0,V0,V1), P_mult-{F}(V0,V2,V0), P_mult-{F}(V3,V2,V0), P_ld-{F}(V0,V4,V2), P_mult-{F}(V5,V0,V4), V2 == V5, P_mult-{F}(V5,V3,V6), P_mult-{F}(V6,V2,V0), P_mult-{F}(V7,V0,V8), P_ld-{F}(V0,V8,V9), P_rd-{F}(V9,V2,V10), P_mult-{F}(V0,V10,V11) | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #1023: mergings( V1 == V6, V6 == V4, V4 == V7; #1019 ), references = 1, size of lhs = 9:
% 15.36/15.60 P_ld-{F}(V0,V1,V0), P_mult-{F}(V0,V0,V1), P_mult-{F}(V0,V2,V0), P_ld-{F}(V0,V3,V2), P_mult-{F}(V3,V2,V0), P_mult-{F}(V4,V0,V5), P_ld-{F}(V0,V5,V6), P_rd-{F}(V6,V2,V7), P_mult-{F}(V0,V7,V8) | P_rd-{T}(V3,V0,V2)
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #1033: mergings( V2 == V3; #1031 ), references = 1, size of lhs = 4:
% 15.36/15.60 P_ld-{F}(V0,V1,V0), P_mult-{F}(V0,V0,V1), P_ld-{F}(V0,V2,V0), P_mult-{F}(V3,V0,V2) | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 #1036: exists( #6, #1034 ), references = 1, size of lhs = 1:
% 15.36/15.60 #-{F} V0 | FALSE
% 15.36/15.60 (used 0 times, uses = {})
% 15.36/15.60
% 15.36/15.60 number of learnt formulas = 55
% 15.36/15.60
% 15.36/15.60
% 15.36/15.60 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.36/15.60
% 15.36/15.60 randbase = 1
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