TSTP Solution File: GRP660-14 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP660-14 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n018.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 5.81s 5.98s
% Output : Refutation 5.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP660-14 : TPTP v8.1.0. Released v8.1.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n018.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 14:13:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 5.81/5.98 GeoParameters:
% 5.81/5.98
% 5.81/5.98 tptp_input = 1
% 5.81/5.98 tptp_output = 0
% 5.81/5.98 nonempty = 1
% 5.81/5.98 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.81/5.98 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 5.81/5.98
% 5.81/5.98
% 5.81/5.98 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.81/5.98 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.81/5.98
% 5.81/5.98 RuleSystem INPUT:
% 5.81/5.98
% 5.81/5.98 Initial Rules:
% 5.81/5.98 #0: input, references = 5, size of lhs = 3:
% 5.81/5.98 P_ld-{F}(V0,V1,V2), P_mult-{F}(V0,V2,V3), V3 == V1 | FALSE
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #1: input, references = 7, size of lhs = 3:
% 5.81/5.98 P_mult-{F}(V0,V1,V2), P_ld-{F}(V0,V2,V3), V3 == V1 | FALSE
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #2: input, references = 5, size of lhs = 3:
% 5.81/5.98 P_rd-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), V3 == V0 | FALSE
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #3: input, references = 8, size of lhs = 3:
% 5.81/5.98 P_mult-{F}(V0,V1,V2), P_rd-{F}(V2,V1,V3), V3 == V0 | FALSE
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #4: input, references = 9, size of lhs = 7:
% 5.81/5.98 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
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #5: input, references = 6, size of lhs = 4:
% 5.81/5.98 P_x1-{F}(V0), P_ld-{F}(V0,V0,V1), P_x0-{F}(V2), P_mult-{F}(V1,V2,V2) | FALSE
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #6: input, references = 19, size of lhs = 2:
% 5.81/5.98 #-{F} V0, #-{F} V1 | EXISTS V2: P_mult-{T}(V0,V1,V2)
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #7: input, references = 14, size of lhs = 2:
% 5.81/5.98 #-{F} V0, #-{F} V1 | EXISTS V2: P_ld-{T}(V0,V1,V2)
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #8: input, references = 9, size of lhs = 2:
% 5.81/5.98 #-{F} V0, #-{F} V1 | EXISTS V2: P_rd-{T}(V0,V1,V2)
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #9: input, references = 4, size of lhs = 0:
% 5.81/5.98 FALSE | EXISTS V0: P_x1-{T}(V0)
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #10: input, references = 4, size of lhs = 0:
% 5.81/5.98 FALSE | EXISTS V0: P_x0-{T}(V0)
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 number of initial rules = 11
% 5.81/5.98
% 5.81/5.98 Simplifiers:
% 5.81/5.98 #11: unsound, references = 3, size of lhs = 3:
% 5.81/5.98 P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #12: unsound, references = 3, size of lhs = 3:
% 5.81/5.98 P_ld-{F}(V0,V1,V2), P_ld-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #13: unsound, references = 3, size of lhs = 3:
% 5.81/5.98 P_rd-{F}(V0,V1,V2), P_rd-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #14: unsound, references = 3, size of lhs = 3:
% 5.81/5.98 P_x1-{F}(V0), P_x1-{F}(V1), V0 == V1 | FALSE
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #15: unsound, references = 3, size of lhs = 3:
% 5.81/5.98 P_x0-{F}(V0), P_x0-{F}(V1), V0 == V1 | FALSE
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 number of simplifiers = 5
% 5.81/5.98
% 5.81/5.98 Learnt:
% 5.81/5.98 #17: exists( #6, #0 ), references = 12, size of lhs = 1:
% 5.81/5.98 P_ld-{F}(V0,V1,V2) | P_mult-{T}(V0,V2,V1)
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #20: exists( #6, #2 ), references = 20, size of lhs = 1:
% 5.81/5.98 P_rd-{F}(V0,V1,V2) | P_mult-{T}(V2,V1,V0)
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #21: exists( #6, #4 ), references = 4, size of lhs = 5:
% 5.81/5.98 P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V3,V0,V5), P_mult-{F}(V1,V5,V6), P_mult-{F}(V0,V6,V7) | P_mult-{T}(V4,V0,V7)
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #23: exists( #7, #1 ), references = 7, size of lhs = 1:
% 5.81/5.98 P_mult-{F}(V0,V1,V2) | P_ld-{T}(V0,V2,V1)
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #30: exists( #6, #28 ), references = 12, size of lhs = 5:
% 5.81/5.98 P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V0,V4), P_mult-{F}(V1,V4,V5), P_mult-{F}(V0,V5,V6), P_rd-{F}(V6,V0,V7) | P_mult-{T}(V2,V3,V7)
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #35: exists( #8, #3 ), references = 14, size of lhs = 1:
% 5.81/5.98 P_mult-{F}(V0,V1,V2) | P_rd-{T}(V2,V1,V0)
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #48: exists( #6, #4 ), references = 6, size of lhs = 5:
% 5.81/5.98 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)
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #67: exists( #6, #65 ), references = 8, size of lhs = 5:
% 5.81/5.98 P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V2,V4), P_mult-{F}(V1,V4,V5), P_rd-{F}(V5,V1,V6), P_rd-{F}(V6,V0,V7) | P_mult-{T}(V1,V3,V7)
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #104: exists( #8, #102 ), references = 10, size of lhs = 5:
% 5.81/5.98 P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V3,V4), P_mult-{F}(V0,V4,V5), P_rd-{F}(V5,V0,V6), P_ld-{F}(V2,V6,V7) | P_rd-{T}(V3,V0,V7)
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #114: exists( #7, #112 ), references = 2, size of lhs = 20:
% 5.81/5.98 P_mult-{F}(V0,V1,V1), P_mult-{F}(V1,V0,V2), P_rd-{F}(V2,V1,V0), P_mult-{F}(V3,V1,V3), P_mult-{F}(V3,V4,V3), P_mult-{F}(V4,V0,V5), P_mult-{F}(V3,V5,V6), P_rd-{F}(V6,V3,V7), P_mult-{F}(V3,V8,V9), P_mult-{F}(V8,V0,V10), P_mult-{F}(V3,V10,V11), P_rd-{F}(V11,V3,V12), P_mult-{F}(V7,V12,V13), P_rd-{F}(V13,V7,V12), P_mult-{F}(V14,V7,V15), P_mult-{F}(V16,V14,V9), P_mult-{F}(V15,V16,V17), P_mult-{F}(V17,V14,V18), P_mult-{F}(V14,V9,V19), V18 == V19 | FALSE
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #116: exists( #6, #113 ), references = 1, size of lhs = 18:
% 5.81/5.98 P_mult-{F}(V0,V1,V1), P_mult-{F}(V1,V0,V2), P_rd-{F}(V2,V1,V0), P_mult-{F}(V3,V1,V3), P_mult-{F}(V3,V4,V3), P_mult-{F}(V4,V0,V5), P_mult-{F}(V3,V5,V6), P_rd-{F}(V6,V3,V7), P_mult-{F}(V3,V8,V9), P_mult-{F}(V8,V0,V10), P_mult-{F}(V3,V10,V11), P_rd-{F}(V11,V3,V12), P_mult-{F}(V7,V12,V13), P_rd-{F}(V13,V7,V12), P_mult-{F}(V14,V7,V15), P_mult-{F}(V16,V14,V9), P_mult-{F}(V15,V16,V17), P_mult-{F}(V14,V9,V18) | P_mult-{T}(V17,V14,V18)
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #123: exists( #6, #121 ), references = 2, size of lhs = 26:
% 5.81/5.98 P_x1-{F}(V0), P_x0-{F}(V0), P_mult-{F}(V1,V2,V0), P_mult-{F}(V3,V1,V4), P_mult-{F}(V5,V3,V0), P_mult-{F}(V1,V6,V5), P_mult-{F}(V2,V7,V4), P_mult-{F}(V8,V1,V7), P_mult-{F}(V8,V9,V10), P_mult-{F}(V10,V11,V0), P_mult-{F}(V11,V8,V12), P_mult-{F}(V9,V12,V0), P_mult-{F}(V13,V14,V14), P_mult-{F}(V14,V13,V15), P_rd-{F}(V15,V14,V13), P_mult-{F}(V16,V14,V16), P_mult-{F}(V16,V17,V16), P_mult-{F}(V17,V13,V18), P_mult-{F}(V16,V18,V19), P_rd-{F}(V19,V16,V6), P_mult-{F}(V16,V20,V4), P_mult-{F}(V20,V13,V21), P_mult-{F}(V16,V21,V22), P_rd-{F}(V22,V16,V23), P_mult-{F}(V6,V23,V24), P_rd-{F}(V24,V6,V23) | FALSE
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #137: exists( #6, #135 ), references = 8, size of lhs = 5:
% 5.81/5.98 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)
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #159: exists( #8, #157 ), references = 1, size of lhs = 13:
% 5.81/5.98 P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V3,V4), P_mult-{F}(V0,V4,V5), P_rd-{F}(V5,V0,V6), P_mult-{F}(V7,V2,V8), P_mult-{F}(V7,V6,V9), P_rd-{F}(V9,V7,V10), P_ld-{F}(V8,V10,V11), P_mult-{F}(V0,V12,V11), P_mult-{F}(V7,V0,V13), P_mult-{F}(V12,V13,V14), P_mult-{F}(V0,V14,V15), V3 == V15 | FALSE
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #215: exists( #7, #213 ), references = 1, size of lhs = 13:
% 5.81/5.98 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V3,V0), P_mult-{F}(V4,V3,V5), P_mult-{F}(V5,V3,V6), 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}(V5,V7,V11), P_rd-{F}(V11,V5,V12), V12 == V1 | FALSE
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #225: mergings( V3 == V7, V4 == V1; #222 ), references = 1, size of lhs = 15:
% 5.81/5.98 P_ld-{F}(V0,V1,V0), P_mult-{F}(V0,V0,V1), P_mult-{F}(V2,V0,V3), P_mult-{F}(V0,V3,V4), P_mult-{F}(V4,V3,V0), P_rd-{F}(V0,V3,V5), P_mult-{F}(V6,V3,V0), P_rd-{F}(V5,V6,V7), V3 == V7, P_mult-{F}(V7,V0,V8), P_ld-{F}(V0,V8,V3), P_mult-{F}(V2,V9,V3), P_mult-{F}(V10,V3,V9), P_rd-{F}(V3,V10,V11), P_mult-{F}(V11,V0,V3) | FALSE
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #232: mergings( V3 == V7, V7 == V5, V5 == V8; #228 ), references = 1, size of lhs = 13:
% 5.81/5.98 P_ld-{F}(V0,V1,V0), P_mult-{F}(V0,V0,V1), P_mult-{F}(V0,V2,V0), P_rd-{F}(V0,V2,V3), P_mult-{F}(V4,V2,V0), P_rd-{F}(V3,V4,V5), V2 == V5, P_mult-{F}(V5,V0,V6), P_ld-{F}(V0,V6,V2), P_mult-{F}(V0,V7,V8), P_mult-{F}(V7,V2,V9), P_mult-{F}(V0,V9,V10), P_rd-{F}(V10,V0,V11) | FALSE
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #238: mergings( V1 == V6, V6 == V4, V4 == V7; #234 ), references = 4, size of lhs = 9:
% 5.81/5.98 P_ld-{F}(V0,V1,V0), P_mult-{F}(V0,V0,V1), P_mult-{F}(V0,V2,V0), P_rd-{F}(V0,V2,V3), P_ld-{F}(V0,V3,V2), P_mult-{F}(V0,V4,V5), P_mult-{F}(V4,V2,V6), P_mult-{F}(V0,V6,V7), P_rd-{F}(V7,V0,V8) | P_rd-{T}(V3,V0,V2)
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #252: mergings( V2 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V0 == V10; #245 ), references = 1, size of lhs = 9:
% 5.81/5.98 P_x1-{F}(V0), P_x0-{F}(V0), P_ld-{F}(V1,V0,V1), P_mult-{F}(V1,V1,V0), P_rd-{F}(V0,V1,V1), P_mult-{F}(V1,V2,V0), P_mult-{F}(V2,V1,V0), P_mult-{F}(V1,V3,V0), P_mult-{F}(V3,V1,V0) | FALSE
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #306: mergings( V2 == V3, V3 == V4; #303 ), references = 1, size of lhs = 5:
% 5.81/5.98 P_x1-{F}(V0), P_x0-{F}(V0), P_mult-{F}(V0,V0,V1), P_ld-{F}(V0,V1,V0), P_rd-{F}(V1,V0,V2) | FALSE
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #310: exists( #6, #308 ), references = 1, size of lhs = 2:
% 5.81/5.98 P_x1-{F}(V0), P_x0-{F}(V0) | FALSE
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #336: mergings( V4 == V5; #332 ), references = 1, size of lhs = 7:
% 5.81/5.98 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V2), P_rd-{F}(V2,V0,V3), P_mult-{F}(V0,V3,V2), P_mult-{F}(V3,V1,V4), P_mult-{F}(V4,V0,V5), P_ld-{F}(V0,V5,V3) | P_ld-{T}(V0,V3,V0)
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #338: mergings( V4 == V5; #333 ), references = 1, size of lhs = 7:
% 5.81/5.98 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V2), P_rd-{F}(V2,V0,V3), P_mult-{F}(V0,V3,V2), P_mult-{F}(V3,V1,V4), P_mult-{F}(V4,V0,V5), P_ld-{F}(V0,V5,V3) | P_ld-{T}(V0,V3,V0)
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #340: mergings( V6 == V7; #334 ), references = 1, size of lhs = 8:
% 5.81/5.98 P_mult-{F}(V0,V1,V1), P_rd-{F}(V1,V1,V2), P_mult-{F}(V3,V1,V4), P_rd-{F}(V4,V0,V5), P_mult-{F}(V0,V5,V4), P_mult-{F}(V5,V3,V6), P_mult-{F}(V6,V1,V7), P_ld-{F}(V1,V7,V5) | P_ld-{T}(V1,V5,V2)
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #378: exists( #6, #375 ), references = 4, size of lhs = 9:
% 5.81/5.98 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}(V6,V0,V7), P_mult-{F}(V7,V1,V8), P_mult-{F}(V8,V6,V9), P_ld-{F}(V6,V9,V10), V10 == V5 | FALSE
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #402: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V0 == V7; #396 ), references = 1, size of lhs = 8:
% 5.81/5.98 P_mult-{F}(V0,V0,V1), P_ld-{F}(V0,V1,V0), P_rd-{F}(V1,V0,V0), P_mult-{F}(V2,V0,V1), P_mult-{F}(V0,V2,V3), P_mult-{F}(V3,V0,V4), P_mult-{F}(V0,V1,V5), V4 == V5 | FALSE
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #474: exists( #8, #470 ), references = 2, size of lhs = 9:
% 5.81/5.98 P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V0,V4), P_mult-{F}(V3,V2,V5), P_rd-{F}(V5,V3,V6), P_mult-{F}(V7,V4,V3), P_mult-{F}(V6,V7,V8), P_mult-{F}(V8,V4,V9), P_mult-{F}(V4,V1,V10), V9 == V10 | FALSE
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #475: exists( #8, #471 ), references = 2, size of lhs = 11:
% 5.81/5.98 P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V1,V0), P_mult-{F}(V3,V4,V1), P_mult-{F}(V4,V5,V6), P_mult-{F}(V3,V6,V7), P_rd-{F}(V7,V3,V8), P_mult-{F}(V8,V2,V9), P_mult-{F}(V9,V1,V10), P_mult-{F}(V8,V0,V11), P_ld-{F}(V0,V11,V12), V12 == V10 | FALSE
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #494: mergings( V3 == V5; #492 ), references = 1, size of lhs = 17:
% 5.81/5.98 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V3,V0), P_mult-{F}(V2,V0,V4), P_mult-{F}(V2,V5,V6), P_mult-{F}(V7,V2,V8), P_mult-{F}(V3,V8,V9), P_mult-{F}(V2,V9,V10), P_mult-{F}(V5,V10,V11), P_mult-{F}(V2,V11,V12), P_rd-{F}(V12,V2,V13), P_mult-{F}(V7,V4,V14), P_mult-{F}(V0,V14,V15), P_mult-{F}(V15,V1,V16), P_ld-{F}(V0,V15,V17), V17 == V16, P_mult-{F}(V1,V18,V10), P_mult-{F}(V0,V18,V10) | FALSE
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #497: mergings( V3 == V4; #495 ), references = 1, size of lhs = 15:
% 5.81/5.98 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V3,V0), P_mult-{F}(V2,V0,V4), P_mult-{F}(V2,V5,V6), P_mult-{F}(V7,V2,V8), P_mult-{F}(V3,V8,V9), P_mult-{F}(V2,V9,V10), P_mult-{F}(V5,V10,V11), P_mult-{F}(V2,V11,V12), P_rd-{F}(V12,V2,V13), P_mult-{F}(V7,V4,V14), P_mult-{F}(V0,V14,V15), P_ld-{F}(V0,V15,V16), P_mult-{F}(V1,V17,V10), P_mult-{F}(V0,V17,V10) | P_mult-{T}(V15,V1,V16)
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #556: exists( #8, #552 ), references = 1, size of lhs = 7:
% 5.81/5.98 P_mult-{F}(V0,V1,V0), P_mult-{F}(V0,V2,V1), P_mult-{F}(V2,V3,V4), P_mult-{F}(V0,V4,V5), P_mult-{F}(V5,V1,V6), P_mult-{F}(V1,V3,V7), V6 == V7 | FALSE
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #558: mergings( V3 == V1; #555 ), references = 1, size of lhs = 7:
% 5.81/5.98 P_mult-{F}(V0,V0,V0), P_mult-{F}(V0,V1,V0), P_mult-{F}(V1,V2,V3), P_mult-{F}(V0,V3,V4), P_mult-{F}(V4,V0,V5), P_ld-{F}(V0,V4,V6), V6 == V5 | FALSE
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #561: exists( #6, #554 ), references = 3, size of lhs = 5:
% 5.81/5.98 P_mult-{F}(V0,V1,V0), P_mult-{F}(V0,V2,V1), P_mult-{F}(V2,V3,V4), P_mult-{F}(V0,V4,V5), P_mult-{F}(V1,V3,V6) | P_mult-{T}(V5,V1,V6)
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #563: mergings( V1 == V3; #560 ), references = 1, size of lhs = 5:
% 5.81/5.98 P_mult-{F}(V0,V0,V0), P_mult-{F}(V0,V1,V0), P_mult-{F}(V1,V2,V3), P_mult-{F}(V0,V3,V4), P_ld-{F}(V0,V4,V5) | P_mult-{T}(V4,V0,V5)
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #569: mergings( V0 == V5, V4 == V5; #566 ), references = 1, size of lhs = 6:
% 5.81/5.98 P_mult-{F}(V0,V0,V0), P_mult-{F}(V0,V1,V0), P_mult-{F}(V0,V2,V3), P_mult-{F}(V1,V4,V3), P_mult-{F}(V0,V4,V3), P_mult-{F}(V2,V1,V5) | P_ld-{T}(V0,V2,V5)
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #589: mergings( V1 == V4, V3 == V4, V4 == V6, V5 == V6, V7 == V9, V9 == V10; #581 ), references = 1, size of lhs = 4:
% 5.81/5.98 P_mult-{F}(V0,V0,V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V3,V2), V3 == V2 | FALSE
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #592: exists( #6, #581 ), references = 3, size of lhs = 2:
% 5.81/5.98 P_mult-{F}(V0,V0,V0), #-{F} V1 | P_mult-{T}(V0,V1,V1)
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #617: mergings( V4 == V5, V5 == V6; #614 ), references = 1, size of lhs = 5:
% 5.81/5.98 P_x1-{F}(V0), P_x0-{F}(V1), P_ld-{F}(V2,V3,V2), P_mult-{F}(V2,V2,V3), P_rd-{F}(V3,V2,V4) | FALSE
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #621: exists( #6, #619 ), references = 1, size of lhs = 2:
% 5.81/5.98 P_x1-{F}(V0), P_x0-{F}(V1) | FALSE
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #623: exists( #10, #620 ), references = 1, size of lhs = 1:
% 5.81/5.98 P_x1-{F}(V0) | FALSE
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 #625: exists( #9, #622 ), references = 1, size of lhs = 0:
% 5.81/5.98 FALSE | FALSE
% 5.81/5.98 (used 0 times, uses = {})
% 5.81/5.98
% 5.81/5.98 number of learnt formulas = 41
% 5.81/5.98
% 5.81/5.98
% 5.81/5.98 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.81/5.98
% 5.81/5.98 randbase = 1
%------------------------------------------------------------------------------