TSTP Solution File: GRP660-11 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP660-11 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 18.85s 19.02s
% Output : Refutation 18.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP660-11 : TPTP v8.1.0. Released v8.1.0.
% 0.06/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 14:22:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 18.85/19.02 GeoParameters:
% 18.85/19.02
% 18.85/19.02 tptp_input = 1
% 18.85/19.02 tptp_output = 0
% 18.85/19.02 nonempty = 1
% 18.85/19.02 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.85/19.02 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 18.85/19.02
% 18.85/19.02
% 18.85/19.02 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.85/19.02 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.85/19.02
% 18.85/19.02 RuleSystem INPUT:
% 18.85/19.02
% 18.85/19.02 Initial Rules:
% 18.85/19.02 #0: input, references = 7, size of lhs = 3:
% 18.85/19.02 P_ld-{F}(V0,V1,V2), P_mult-{F}(V0,V2,V3), V3 == V1 | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #1: input, references = 11, size of lhs = 3:
% 18.85/19.02 P_mult-{F}(V0,V1,V2), P_ld-{F}(V0,V2,V3), V3 == V1 | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #2: input, references = 5, size of lhs = 3:
% 18.85/19.02 P_rd-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), V3 == V0 | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #3: input, references = 11, size of lhs = 3:
% 18.85/19.02 P_mult-{F}(V0,V1,V2), P_rd-{F}(V2,V1,V3), V3 == V0 | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #4: input, references = 10, size of lhs = 7:
% 18.85/19.02 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
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #5: input, references = 7, size of lhs = 4:
% 18.85/19.02 P_x0-{F}(V0), P_x1-{F}(V1), P_rd-{F}(V1,V1,V2), P_mult-{F}(V0,V2,V0) | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #6: input, references = 28, size of lhs = 2:
% 18.85/19.02 #-{F} V0, #-{F} V1 | EXISTS V2: P_mult-{T}(V0,V1,V2)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #7: input, references = 14, size of lhs = 2:
% 18.85/19.02 #-{F} V0, #-{F} V1 | EXISTS V2: P_ld-{T}(V0,V1,V2)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #8: input, references = 10, size of lhs = 2:
% 18.85/19.02 #-{F} V0, #-{F} V1 | EXISTS V2: P_rd-{T}(V0,V1,V2)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #9: input, references = 4, size of lhs = 0:
% 18.85/19.02 FALSE | EXISTS V0: P_x0-{T}(V0)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #10: input, references = 4, size of lhs = 0:
% 18.85/19.02 FALSE | EXISTS V0: P_x1-{T}(V0)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 number of initial rules = 11
% 18.85/19.02
% 18.85/19.02 Simplifiers:
% 18.85/19.02 #11: unsound, references = 3, size of lhs = 3:
% 18.85/19.02 P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V1,V5), V2 == V5 | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #12: unsound, references = 3, size of lhs = 3:
% 18.85/19.02 P_ld-{F}(V0,V1,V2), P_ld-{F}(V0,V1,V5), V2 == V5 | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #13: unsound, references = 3, size of lhs = 3:
% 18.85/19.02 P_rd-{F}(V0,V1,V2), P_rd-{F}(V0,V1,V5), V2 == V5 | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #14: unsound, references = 3, size of lhs = 3:
% 18.85/19.02 P_x0-{F}(V0), P_x0-{F}(V1), V0 == V1 | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #15: unsound, references = 3, size of lhs = 3:
% 18.85/19.02 P_x1-{F}(V0), P_x1-{F}(V1), V0 == V1 | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 number of simplifiers = 5
% 18.85/19.02
% 18.85/19.02 Learnt:
% 18.85/19.02 #17: exists( #6, #0 ), references = 27, size of lhs = 1:
% 18.85/19.02 P_ld-{F}(V0,V1,V2) | P_mult-{T}(V0,V2,V1)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #20: exists( #6, #2 ), references = 17, size of lhs = 1:
% 18.85/19.02 P_rd-{F}(V0,V1,V2) | P_mult-{T}(V2,V1,V0)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #21: exists( #6, #4 ), references = 6, size of lhs = 5:
% 18.85/19.02 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)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #23: exists( #7, #1 ), references = 25, size of lhs = 1:
% 18.85/19.02 P_mult-{F}(V0,V1,V2) | P_ld-{T}(V0,V2,V1)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #26: exists( #8, #3 ), references = 10, size of lhs = 1:
% 18.85/19.02 P_mult-{F}(V0,V1,V2) | P_rd-{T}(V2,V1,V0)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #43: exists( #6, #4 ), references = 14, size of lhs = 5:
% 18.85/19.02 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)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #46: exists( #6, #44 ), references = 35, size of lhs = 5:
% 18.85/19.02 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)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #103: mergings( V18 == V22; #101 ), references = 2, size of lhs = 21:
% 18.85/19.02 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}(V4,V1,V7), P_mult-{F}(V6,V0,V8), P_ld-{F}(V6,V8,V0), P_mult-{F}(V7,V9,V10), P_mult-{F}(V10,V2,V11), P_mult-{F}(V11,V7,V12), P_ld-{F}(V7,V12,V13), P_mult-{F}(V14,V9,V0), P_mult-{F}(V13,V14,V15), P_mult-{F}(V15,V9,V13), P_mult-{F}(V16,V6,V17), P_mult-{F}(V18,V16,V0), P_mult-{F}(V6,V19,V18), P_mult-{F}(V8,V19,V20), P_mult-{F}(V17,V18,V21), P_rd-{F}(V20,V21,V22), V22 == V19 | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #114: exists( #6, #111 ), references = 3, size of lhs = 9:
% 18.85/19.02 P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V4,V0,V5), P_ld-{F}(V0,V5,V6), P_mult-{F}(V1,V3,V7), P_mult-{F}(V8,V1,V6), P_mult-{F}(V7,V9,V8), P_mult-{F}(V9,V1,V10), V0 == V10 | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #115: exists( #6, #110 ), references = 2, size of lhs = 13:
% 18.85/19.02 P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V4,V0,V5), P_ld-{F}(V0,V5,V6), P_mult-{F}(V7,V1,V6), P_mult-{F}(V1,V8,V9), P_mult-{F}(V9,V10,V7), P_mult-{F}(V10,V1,V11), P_mult-{F}(V11,V1,V12), P_mult-{F}(V12,V8,V13), P_mult-{F}(V13,V11,V14), P_mult-{F}(V11,V6,V15), V14 == V15 | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #145: exists( #6, #141 ), references = 1, size of lhs = 15:
% 18.85/19.02 P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V1,V4), P_mult-{F}(V4,V5,V6), V2 == V5, P_mult-{F}(V5,V7,V8), P_mult-{F}(V1,V8,V9), P_mult-{F}(V9,V3,V10), P_mult-{F}(V10,V1,V11), P_mult-{F}(V11,V0,V12), P_mult-{F}(V12,V1,V11), P_mult-{F}(V7,V6,V13), P_mult-{F}(V13,V1,V14), P_mult-{F}(V14,V5,V15), P_mult-{F}(V15,V13,V16), P_ld-{F}(V13,V16,V11) | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #148: exists( #6, #146 ), references = 1, size of lhs = 17:
% 18.85/19.02 P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V4,V0,V5), P_ld-{F}(V0,V5,V6), P_mult-{F}(V7,V1,V8), V8 == V3, P_mult-{F}(V9,V1,V10), P_mult-{F}(V6,V9,V11), P_mult-{F}(V11,V1,V12), P_mult-{F}(V12,V7,V13), P_mult-{F}(V13,V1,V12), P_mult-{F}(V10,V3,V14), P_mult-{F}(V0,V14,V15), P_mult-{F}(V15,V1,V16), P_mult-{F}(V16,V3,V17), P_mult-{F}(V17,V15,V18), P_ld-{F}(V15,V18,V12) | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #150: exists( #6, #147 ), references = 1, size of lhs = 15:
% 18.85/19.02 P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V4,V0,V5), P_ld-{F}(V0,V5,V6), P_mult-{F}(V7,V1,V8), P_mult-{F}(V6,V7,V9), P_mult-{F}(V9,V1,V10), P_mult-{F}(V8,V3,V11), P_mult-{F}(V0,V11,V12), P_mult-{F}(V12,V1,V13), P_mult-{F}(V13,V3,V14), P_mult-{F}(V14,V12,V15), P_ld-{F}(V12,V15,V10), P_mult-{F}(V16,V1,V10), P_mult-{F}(V10,V17,V16) | P_mult-{T}(V17,V1,V3)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #159: exists( #6, #156 ), references = 1, size of lhs = 13:
% 18.85/19.02 P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V1,V0), P_mult-{F}(V3,V1,V4), P_mult-{F}(V4,V5,V6), P_mult-{F}(V6,V3,V7), P_ld-{F}(V3,V7,V8), P_mult-{F}(V8,V1,V9), P_mult-{F}(V9,V0,V10), P_mult-{F}(V10,V8,V11), P_ld-{F}(V8,V11,V12), P_mult-{F}(V12,V2,V13), P_mult-{F}(V13,V1,V8), P_mult-{F}(V12,V0,V14) | P_mult-{T}(V0,V8,V14)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #249: exists( #7, #246 ), references = 14, size of lhs = 5:
% 18.85/19.02 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)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #260: exists( #8, #258 ), references = 4, size of lhs = 5:
% 18.85/19.02 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)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #313: exists( #8, #311 ), references = 5, size of lhs = 11:
% 18.85/19.02 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,V3), P_mult-{F}(V3,V6,V7), P_mult-{F}(V7,V2,V8), P_mult-{F}(V8,V3,V9), P_ld-{F}(V3,V9,V10), P_rd-{F}(V10,V4,V11), V11 == V6 | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #320: exists( #6, #318 ), references = 1, size of lhs = 12:
% 18.85/19.02 P_mult-{F}(V0,V1,V0), P_mult-{F}(V0,V2,V1), P_ld-{F}(V0,V1,V3), P_rd-{F}(V1,V3,V4), P_mult-{F}(V5,V2,V1), P_mult-{F}(V6,V1,V5), P_mult-{F}(V7,V1,V8), P_mult-{F}(V8,V1,V9), P_mult-{F}(V9,V1,V10), P_mult-{F}(V10,V8,V11), P_ld-{F}(V8,V11,V5), P_mult-{F}(V12,V7,V6) | P_mult-{T}(V1,V8,V4)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #326: exists( #6, #324 ), references = 1, size of lhs = 14:
% 18.85/19.02 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V1,V0), P_mult-{F}(V3,V0,V4), P_ld-{F}(V3,V5,V1), P_mult-{F}(V6,V3,V5), P_mult-{F}(V4,V7,V6), P_mult-{F}(V8,V1,V9), P_mult-{F}(V9,V1,V10), P_mult-{F}(V10,V1,V11), P_mult-{F}(V11,V9,V12), P_ld-{F}(V9,V12,V0), P_mult-{F}(V13,V8,V2), P_rd-{F}(V0,V9,V14), V14 == V1 | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #366: mergings( V4 == V5; #363 ), references = 1, size of lhs = 22:
% 18.85/19.02 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V1,V0), P_mult-{F}(V0,V3,V1), P_mult-{F}(V3,V0,V4), V4 == V3, P_mult-{F}(V0,V5,V1), P_rd-{F}(V6,V3,V5), P_ld-{F}(V0,V7,V6), P_mult-{F}(V8,V0,V7), P_mult-{F}(V8,V2,V9), P_mult-{F}(V10,V11,V1), P_mult-{F}(V11,V9,V12), P_mult-{F}(V12,V10,V13), P_mult-{F}(V13,V11,V14), P_mult-{F}(V15,V11,V0), P_mult-{F}(V14,V15,V16), P_mult-{F}(V16,V11,V17), P_ld-{F}(V11,V17,V3), P_mult-{F}(V3,V18,V19), P_mult-{F}(V19,V20,V1), P_mult-{F}(V20,V3,V21), P_mult-{F}(V18,V21,V4) | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #437: mergings( V3 == V4; #435 ), references = 2, size of lhs = 5:
% 18.85/19.02 P_mult-{F}(V0,V0,V1), P_ld-{F}(V0,V1,V0), P_mult-{F}(V2,V0,V2), P_mult-{F}(V0,V3,V2), V2 == V3 | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #444: exists( #6, #442 ), references = 1, size of lhs = 8:
% 18.85/19.02 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V1,V0), P_mult-{F}(V3,V1,V4), P_mult-{F}(V4,V1,V5), P_mult-{F}(V5,V1,V6), P_mult-{F}(V6,V4,V7), P_ld-{F}(V4,V7,V0), P_mult-{F}(V8,V3,V2) | P_mult-{T}(V1,V4,V0)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #450: mergings( V1 == V4, V4 == V5; #447 ), references = 9, size of lhs = 4:
% 18.85/19.02 P_mult-{F}(V0,V1,V0), P_mult-{F}(V0,V0,V2), P_ld-{F}(V0,V2,V3), P_mult-{F}(V3,V1,V3) | P_rd-{T}(V3,V0,V1)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #478: exists( #7, #476 ), references = 1, size of lhs = 4:
% 18.85/19.02 P_x0-{F}(V0), P_x1-{F}(V0), P_mult-{F}(V0,V0,V1), P_ld-{F}(V0,V1,V0) | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #481: exists( #6, #479 ), references = 1, size of lhs = 2:
% 18.85/19.02 P_x0-{F}(V0), P_x1-{F}(V0) | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #496: exists( #6, #494 ), references = 1, size of lhs = 10:
% 18.85/19.02 P_x0-{F}(V0), P_x1-{F}(V1), P_rd-{F}(V1,V1,V2), P_mult-{F}(V3,V0,V4), P_ld-{F}(V3,V5,V0), 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,V2) | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #499: exists( #6, #497 ), references = 1, size of lhs = 8:
% 18.85/19.02 P_x0-{F}(V0), P_x1-{F}(V1), P_rd-{F}(V1,V1,V2), P_mult-{F}(V3,V0,V4), P_ld-{F}(V3,V4,V0), P_mult-{F}(V3,V4,V5), P_rd-{F}(V4,V5,V6), P_mult-{F}(V6,V3,V2) | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #515: exists( #7, #512 ), references = 1, size of lhs = 11:
% 18.85/19.02 P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V1,V3), P_mult-{F}(V4,V0,V5), P_mult-{F}(V6,V4,V1), P_mult-{F}(V6,V5,V7), P_rd-{F}(V3,V8,V6), P_mult-{F}(V8,V2,V9), P_mult-{F}(V9,V1,V10), P_ld-{F}(V1,V10,V8), P_mult-{F}(V8,V6,V11), V11 == V7 | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #516: exists( #7, #511 ), references = 1, size of lhs = 7:
% 18.85/19.02 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)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #556: exists( #6, #554 ), references = 1, size of lhs = 15:
% 18.85/19.02 P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V2,V3), P_mult-{F}(V4,V0,V5), P_mult-{F}(V1,V5,V6), P_mult-{F}(V0,V6,V7), P_mult-{F}(V7,V2,V8), P_mult-{F}(V4,V3,V9), P_mult-{F}(V10,V11,V2), P_mult-{F}(V8,V10,V12), P_ld-{F}(V10,V12,V13), P_mult-{F}(V11,V9,V14), P_mult-{F}(V15,V11,V13), P_mult-{F}(V14,V16,V15), P_mult-{F}(V16,V11,V17), V10 == V17 | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #562: mergings( V3 == V4; #560 ), references = 1, size of lhs = 16:
% 18.85/19.02 P_ld-{F}(V0,V1,V2), P_mult-{F}(V0,V3,V4), P_mult-{F}(V4,V0,V5), P_rd-{F}(V2,V5,V6), P_mult-{F}(V0,V6,V7), P_mult-{F}(V8,V3,V2), P_mult-{F}(V9,V10,V4), P_mult-{F}(V9,V4,V11), P_mult-{F}(V9,V12,V7), P_mult-{F}(V10,V13,V12), P_mult-{F}(V14,V9,V13), P_mult-{F}(V14,V11,V15), P_mult-{F}(V3,V15,V16), P_mult-{F}(V16,V17,V8), P_mult-{F}(V17,V3,V18), V0 == V18 | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #602: exists( #6, #595 ), references = 1, size of lhs = 12:
% 18.85/19.02 P_mult-{F}(V0,V1,V1), P_mult-{F}(V1,V0,V2), P_mult-{F}(V3,V0,V1), P_mult-{F}(V4,V1,V5), V0 == V5, P_mult-{F}(V0,V6,V7), P_mult-{F}(V7,V3,V8), P_mult-{F}(V8,V0,V9), P_mult-{F}(V2,V6,V10), P_mult-{F}(V10,V1,V11), P_mult-{F}(V11,V0,V9), P_mult-{F}(V11,V4,V6) | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #603: exists( #6, #596 ), references = 3, size of lhs = 9:
% 18.85/19.02 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
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #683: exists( #7, #603 ), references = 2, size of lhs = 7:
% 18.85/19.02 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-{T}(V6,V9,V5)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #714: exists( #6, #708 ), references = 12, size of lhs = 5:
% 18.85/19.02 P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V4,V0,V5), P_ld-{F}(V0,V5,V6), P_ld-{F}(V1,V6,V7) | P_mult-{T}(V3,V0,V7)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #715: exists( #6, #709 ), references = 1, size of lhs = 13:
% 18.85/19.02 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,V3), P_mult-{F}(V6,V3,V7), P_mult-{F}(V7,V8,V9), P_mult-{F}(V9,V6,V10), P_ld-{F}(V6,V10,V11), P_mult-{F}(V11,V2,V12), P_mult-{F}(V12,V3,V13), P_ld-{F}(V3,V13,V14), P_rd-{F}(V14,V4,V15) | P_mult-{T}(V8,V6,V15)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #716: exists( #6, #710 ), references = 1, size of lhs = 22:
% 18.85/19.02 P_ld-{F}(V0,V0,V1), P_mult-{F}(V0,V1,V0), P_mult-{F}(V1,V2,V2), P_mult-{F}(V3,V2,V0), P_mult-{F}(V4,V0,V5), P_mult-{F}(V5,V6,V7), P_mult-{F}(V7,V4,V8), P_ld-{F}(V4,V8,V9), P_mult-{F}(V9,V10,V1), P_mult-{F}(V10,V0,V11), P_mult-{F}(V11,V9,V12), P_rd-{F}(V9,V12,V13), P_mult-{F}(V2,V14,V15), P_mult-{F}(V15,V16,V3), P_mult-{F}(V16,V2,V17), P_mult-{F}(V17,V18,V19), P_mult-{F}(V19,V14,V20), P_mult-{F}(V20,V17,V21), P_ld-{F}(V17,V21,V22), P_mult-{F}(V23,V18,V1), P_mult-{F}(V22,V23,V24), P_mult-{F}(V24,V18,V22) | P_mult-{T}(V6,V4,V13)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #724: exists( #6, #722 ), references = 2, size of lhs = 13:
% 18.85/19.02 P_mult-{F}(V0,V1,V0), P_mult-{F}(V0,V2,V1), P_ld-{F}(V1,V3,V4), P_mult-{F}(V4,V1,V3), P_ld-{F}(V0,V4,V5), P_mult-{F}(V4,V6,V7), P_mult-{F}(V7,V2,V8), P_rd-{F}(V8,V5,V9), V9 == V6, P_mult-{F}(V8,V10,V11), P_mult-{F}(V11,V12,V4), P_mult-{F}(V12,V8,V13), P_mult-{F}(V10,V13,V4) | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #738: exists( #6, #736 ), references = 1, size of lhs = 11:
% 18.85/19.02 P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V1,V3,V5), P_mult-{F}(V6,V5,V3), P_mult-{F}(V3,V5,V7), P_mult-{F}(V8,V3,V4), P_mult-{F}(V7,V9,V8), P_mult-{F}(V5,V9,V10), P_mult-{F}(V10,V6,V11), P_mult-{F}(V3,V11,V12), V12 == V0 | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #740: exists( #6, #737 ), references = 1, size of lhs = 9:
% 18.85/19.02 P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V1,V3,V5), P_mult-{F}(V6,V5,V3), P_mult-{F}(V3,V5,V7), P_mult-{F}(V8,V3,V4), P_mult-{F}(V7,V9,V8), P_mult-{F}(V5,V9,V10), P_mult-{F}(V10,V6,V11) | P_mult-{T}(V3,V11,V0)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #749: mergings( V3 == V1, V1 == V4, V4 == V6, V7 == V8, V10 == V12; #743 ), references = 2, size of lhs = 8:
% 18.85/19.02 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V0), P_mult-{F}(V2,V0,V3), P_ld-{F}(V0,V2,V4), V4 == V3, P_mult-{F}(V5,V0,V3), P_mult-{F}(V0,V6,V5), P_mult-{F}(V5,V1,V7) | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #754: mergings( V3 == V0, V5 == V6; #751 ), references = 4, size of lhs = 4:
% 18.85/19.02 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V0), P_mult-{F}(V2,V0,V3), P_mult-{F}(V2,V1,V4) | P_ld-{T}(V0,V2,V3)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #762: exists( #6, #758 ), references = 3, size of lhs = 4:
% 18.85/19.02 P_mult-{F}(V0,V0,V0), P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V0,V3), P_mult-{F}(V1,V3,V2) | P_mult-{T}(V0,V2,V2)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #763: exists( #6, #755 ), references = 1, size of lhs = 5:
% 18.85/19.02 P_mult-{F}(V0,V1,V0), P_mult-{F}(V0,V0,V2), P_ld-{F}(V0,V2,V0), P_mult-{F}(V3,V0,V4), P_mult-{F}(V1,V4,V3) | P_mult-{T}(V0,V3,V3)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #764: exists( #6, #756 ), references = 1, size of lhs = 6:
% 18.85/19.02 P_mult-{F}(V0,V1,V0), P_mult-{F}(V0,V0,V2), P_mult-{F}(V3,V0,V4), P_mult-{F}(V1,V4,V3), P_mult-{F}(V3,V2,V5), P_mult-{F}(V0,V5,V6) | P_mult-{T}(V0,V3,V6)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #812: mergings( V6 == V8; #808 ), references = 1, size of lhs = 8:
% 18.85/19.02 P_mult-{F}(V0,V0,V1), P_ld-{F}(V0,V1,V0), P_mult-{F}(V0,V2,V3), P_ld-{F}(V2,V4,V5), P_mult-{F}(V6,V0,V5), P_mult-{F}(V5,V3,V7), P_mult-{F}(V7,V6,V8), P_ld-{F}(V6,V8,V0) | P_ld-{T}(V0,V0,V4)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #814: mergings( V4 == V5; #809 ), references = 1, size of lhs = 8:
% 18.85/19.02 P_mult-{F}(V0,V0,V1), P_ld-{F}(V0,V1,V0), P_mult-{F}(V2,V0,V3), P_ld-{F}(V2,V4,V0), P_mult-{F}(V5,V2,V4), P_mult-{F}(V3,V6,V5), P_mult-{F}(V0,V7,V6), P_rd-{F}(V8,V3,V7) | P_ld-{T}(V0,V0,V8)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #816: mergings( V6 == V7; #810 ), references = 1, size of lhs = 12:
% 18.85/19.02 P_mult-{F}(V0,V0,V1), P_ld-{F}(V0,V1,V0), P_mult-{F}(V0,V2,V3), P_mult-{F}(V4,V0,V5), P_mult-{F}(V5,V3,V6), P_mult-{F}(V6,V4,V7), P_ld-{F}(V4,V7,V0), P_mult-{F}(V2,V8,V9), P_mult-{F}(V8,V10,V5), P_mult-{F}(V11,V2,V10), P_mult-{F}(V9,V11,V12), P_mult-{F}(V12,V2,V13) | P_ld-{T}(V0,V0,V13)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #888: mergings( V3 == V2, V2 == V5, V5 == V9, V0 == V6, V7 == V9, V6 == V10, V9 == V11; #878 ), references = 1, size of lhs = 4:
% 18.85/19.02 P_ld-{F}(V0,V0,V1), P_ld-{F}(V2,V0,V2), P_mult-{F}(V2,V2,V0), P_mult-{F}(V0,V3,V2) | P_ld-{T}(V2,V2,V1)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #896: mergings( V2 == V3, V3 == V5, V5 == V11, V0 == V12, V11 == V13, V6 == V12, V7 == V13; #879 ), references = 1, size of lhs = 8:
% 18.85/19.02 P_mult-{F}(V0,V0,V1), P_ld-{F}(V0,V1,V0), P_rd-{F}(V0,V2,V1), P_mult-{F}(V1,V2,V0), P_mult-{F}(V0,V3,V1), P_mult-{F}(V3,V0,V1), P_mult-{F}(V4,V2,V0), P_mult-{F}(V1,V5,V4) | P_ld-{T}(V0,V0,V5)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #904: mergings( V3 == V2, V2 == V4, V4 == V8, V0 == V5, V6 == V8, V5 == V9, V8 == V10; #880 ), references = 1, size of lhs = 12:
% 18.85/19.02 P_mult-{F}(V0,V1,V0), P_mult-{F}(V0,V2,V1), P_ld-{F}(V1,V3,V4), P_mult-{F}(V4,V1,V3), P_mult-{F}(V4,V2,V5), P_mult-{F}(V5,V4,V6), P_ld-{F}(V4,V6,V7), P_ld-{F}(V0,V4,V8), P_rd-{F}(V7,V8,V9), P_ld-{F}(V10,V4,V10), P_mult-{F}(V10,V10,V4), P_mult-{F}(V4,V11,V10) | P_ld-{T}(V10,V10,V9)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #926: mergings( V4 == V6, V6 == V7, V7 == V0, V0 == V8, V1 == V3; #918 ), references = 1, size of lhs = 6:
% 18.85/19.02 P_x0-{F}(V0), P_mult-{F}(V0,V0,V1), P_ld-{F}(V0,V1,V0), P_ld-{F}(V1,V1,V2), P_x1-{F}(V3), P_rd-{F}(V3,V3,V2) | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #990: exists( #6, #986 ), references = 3, size of lhs = 2:
% 18.85/19.02 P_mult-{F}(V0,V0,V0), #-{F} V1 | P_mult-{T}(V1,V0,V1)
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #991: exists( #6, #984 ), references = 1, size of lhs = 3:
% 18.85/19.02 P_mult-{F}(V0,V0,V0), P_rd-{F}(V1,V1,V2), V2 == V0 | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #1023: exists( #7, #1019 ), references = 1, size of lhs = 4:
% 18.85/19.02 P_x0-{F}(V0), P_x1-{F}(V1), P_mult-{F}(V2,V2,V3), P_ld-{F}(V2,V3,V2) | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #1028: exists( #6, #1024 ), references = 1, size of lhs = 2:
% 18.85/19.02 P_x0-{F}(V0), P_x1-{F}(V1) | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #1031: exists( #10, #1026 ), references = 1, size of lhs = 1:
% 18.85/19.02 P_x0-{F}(V0) | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 #1034: exists( #9, #1029 ), references = 1, size of lhs = 0:
% 18.85/19.02 FALSE | FALSE
% 18.85/19.02 (used 0 times, uses = {})
% 18.85/19.02
% 18.85/19.02 number of learnt formulas = 58
% 18.85/19.02
% 18.85/19.02
% 18.85/19.02 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.85/19.02
% 18.85/19.02 randbase = 1
%------------------------------------------------------------------------------