TSTP Solution File: GRP551-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP551-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n006.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 06:04:05 EDT 2022
% Result : Unsatisfiable 3.36s 3.54s
% Output : Refutation 3.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP551-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n006.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 14:03:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.36/3.54 GeoParameters:
% 3.36/3.54
% 3.36/3.54 tptp_input = 1
% 3.36/3.54 tptp_output = 0
% 3.36/3.54 nonempty = 1
% 3.36/3.54 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.36/3.54 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 3.36/3.54
% 3.36/3.54
% 3.36/3.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.36/3.54 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.36/3.54
% 3.36/3.54 RuleSystem INPUT:
% 3.36/3.54
% 3.36/3.54 Initial Rules:
% 3.36/3.54 #0: input, references = 6, size of lhs = 7:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V1,V4), P_divide-{F}(V2,V1,V5), P_divide-{F}(V5,V3,V6), P_divide-{F}(V6,V2,V7), P_divide-{F}(V4,V7,V8), V8 == V3 | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #1: input, references = 5, size of lhs = 5:
% 3.36/3.54 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_divide-{F}(V0,V2,V4), P_divide-{F}(V1,V4,V5), V3 == V5 | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #2: input, references = 5, size of lhs = 4:
% 3.36/3.54 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_divide-{F}(V0,V1,V3), V2 == V3 | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #3: input, references = 4, size of lhs = 3:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V1,V1,V2), V0 == V2 | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #4: input, references = 12, size of lhs = 8:
% 3.36/3.54 P_identity-{F}(V0), P_a3-{F}(V1), P_b3-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c3-{F}(V4), P_multiply-{F}(V3,V4,V7), P_multiply-{F}(V2,V4,V6), P_multiply-{F}(V1,V6,V7) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #5: input, references = 16, size of lhs = 2:
% 3.36/3.54 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #6: input, references = 4, size of lhs = 0:
% 3.36/3.54 FALSE | EXISTS V0: P_identity-{T}(V0)
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #7: input, references = 8, size of lhs = 2:
% 3.36/3.54 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #8: input, references = 19, size of lhs = 1:
% 3.36/3.54 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #9: input, references = 4, size of lhs = 0:
% 3.36/3.54 FALSE | EXISTS V0: P_a3-{T}(V0)
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #10: input, references = 5, size of lhs = 0:
% 3.36/3.54 FALSE | EXISTS V0: P_b3-{T}(V0)
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #11: input, references = 7, size of lhs = 0:
% 3.36/3.54 FALSE | EXISTS V0: P_c3-{T}(V0)
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 number of initial rules = 12
% 3.36/3.54
% 3.36/3.54 Simplifiers:
% 3.36/3.54 #12: unsound, references = 3, size of lhs = 3:
% 3.36/3.54 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #13: unsound, references = 3, size of lhs = 3:
% 3.36/3.54 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #14: unsound, references = 3, size of lhs = 3:
% 3.36/3.54 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #15: unsound, references = 3, size of lhs = 3:
% 3.36/3.54 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #16: unsound, references = 3, size of lhs = 3:
% 3.36/3.54 P_a3-{F}(V0), P_a3-{F}(V1), V0 == V1 | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #17: unsound, references = 3, size of lhs = 3:
% 3.36/3.54 P_b3-{F}(V0), P_b3-{F}(V1), V0 == V1 | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #18: unsound, references = 3, size of lhs = 3:
% 3.36/3.54 P_c3-{F}(V0), P_c3-{F}(V1), V0 == V1 | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 number of simplifiers = 7
% 3.36/3.54
% 3.36/3.54 Learnt:
% 3.36/3.54 #20: exists( #5, #3 ), references = 28, size of lhs = 2:
% 3.36/3.54 P_identity-{F}(V0), #-{F} V1 | P_divide-{T}(V1,V1,V0)
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #22: exists( #5, #2 ), references = 20, size of lhs = 2:
% 3.36/3.54 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_divide-{T}(V0,V1,V2)
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #25: exists( #7, #1 ), references = 15, size of lhs = 3:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V1,V2), P_divide-{F}(V3,V2,V4) | P_multiply-{T}(V3,V1,V4)
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #28: exists( #5, #1 ), references = 8, size of lhs = 3:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V1,V2), P_multiply-{F}(V3,V1,V4) | P_divide-{T}(V3,V2,V4)
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #30: exists( #8, #2 ), references = 1, size of lhs = 2:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V1,V2) | P_inverse-{T}(V1,V2)
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #36: mergings( V3 == V4; #34 ), references = 13, size of lhs = 6:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V3,V4), P_divide-{F}(V5,V3,V6), P_divide-{F}(V7,V5,V2), P_divide-{F}(V6,V8,V7) | P_multiply-{T}(V4,V1,V8)
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #58: mergings( V2 == V3, V3 == V4, V8 == V10, V4 == V5; #53 ), references = 1, size of lhs = 9:
% 3.36/3.54 P_identity-{F}(V0), P_a3-{F}(V1), P_b3-{F}(V1), P_multiply-{F}(V1,V1,V1), P_divide-{F}(V0,V2,V1), P_c3-{F}(V3), P_divide-{F}(V0,V0,V4), P_divide-{F}(V4,V2,V0), P_divide-{F}(V0,V5,V4) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #64: mergings( V1 == V2, V2 == V3, V7 == V9, V3 == V4; #59 ), references = 1, size of lhs = 8:
% 3.36/3.54 P_identity-{F}(V0), P_a3-{F}(V1), P_b3-{F}(V1), P_multiply-{F}(V1,V1,V1), P_divide-{F}(V0,V2,V1), P_divide-{F}(V0,V0,V3), P_divide-{F}(V3,V2,V0), P_divide-{F}(V0,V4,V3) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #83: mergings( V2 == V3, V3 == V4, V11 == V13, V4 == V5, V5 == V7; #77 ), references = 1, size of lhs = 11:
% 3.36/3.54 P_a3-{F}(V0), P_identity-{F}(V0), P_divide-{F}(V0,V1,V0), P_b3-{F}(V2), P_c3-{F}(V3), P_divide-{F}(V0,V3,V4), P_divide-{F}(V2,V2,V5), P_divide-{F}(V5,V0,V4), P_divide-{F}(V0,V0,V6), P_divide-{F}(V6,V1,V0), P_divide-{F}(V0,V7,V6) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #88: exists( #5, #0 ), references = 64, size of lhs = 5:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V1,V2), P_divide-{F}(V3,V1,V4), P_divide-{F}(V4,V5,V6), P_divide-{F}(V6,V3,V7) | P_divide-{T}(V2,V7,V5)
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #100: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9; #94 ), references = 1, size of lhs = 13:
% 3.36/3.54 P_a3-{F}(V0), P_identity-{F}(V0), P_divide-{F}(V0,V1,V0), P_b3-{F}(V2), P_multiply-{F}(V0,V2,V2), P_divide-{F}(V0,V3,V2), P_c3-{F}(V4), P_divide-{F}(V0,V4,V5), P_divide-{F}(V3,V1,V6), P_divide-{F}(V0,V7,V6), P_divide-{F}(V3,V7,V8), P_divide-{F}(V8,V9,V9), P_divide-{F}(V0,V9,V5) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #109: mergings( V3 == V4; #107 ), references = 11, size of lhs = 8:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V1,V2), P_divide-{F}(V3,V1,V4), P_divide-{F}(V4,V5,V6), P_divide-{F}(V0,V7,V8), P_divide-{F}(V9,V7,V2), P_divide-{F}(V5,V9,V10), P_divide-{F}(V8,V10,V11) | P_divide-{T}(V6,V3,V11)
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #129: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V12; #120 ), references = 1, size of lhs = 21:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V1,V0), P_a3-{F}(V2), P_divide-{F}(V0,V3,V2), P_b3-{F}(V4), P_multiply-{F}(V2,V4,V4), P_c3-{F}(V5), P_divide-{F}(V0,V5,V6), P_divide-{F}(V7,V1,V2), P_divide-{F}(V0,V6,V8), P_divide-{F}(V0,V4,V9), P_divide-{F}(V7,V10,V4), P_divide-{F}(V0,V10,V11), P_divide-{F}(V0,V12,V4), P_divide-{F}(V13,V12,V11), P_divide-{F}(V6,V13,V6), P_divide-{F}(V0,V14,V15), P_divide-{F}(V16,V3,V15), P_divide-{F}(V9,V14,V17), P_divide-{F}(V17,V18,V8), P_divide-{F}(V18,V16,V19) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #139: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V12; #130 ), references = 1, size of lhs = 20:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V1,V0), P_a3-{F}(V2), P_divide-{F}(V0,V3,V2), P_b3-{F}(V4), P_multiply-{F}(V2,V4,V4), P_c3-{F}(V5), P_divide-{F}(V0,V5,V6), P_divide-{F}(V7,V1,V2), P_divide-{F}(V0,V6,V8), P_divide-{F}(V0,V4,V9), P_divide-{F}(V7,V10,V4), P_divide-{F}(V0,V10,V11), P_divide-{F}(V0,V12,V4), P_divide-{F}(V13,V12,V11), P_divide-{F}(V6,V13,V6), P_divide-{F}(V0,V14,V15), P_divide-{F}(V16,V3,V15), P_divide-{F}(V9,V14,V17), P_divide-{F}(V17,V18,V8) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #157: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V10, V11 == V14, V10 == V14, V14 == V13; #146 ), references = 2, size of lhs = 17:
% 3.36/3.54 P_identity-{F}(V0), P_a3-{F}(V0), P_divide-{F}(V0,V1,V0), P_divide-{F}(V0,V2,V0), P_divide-{F}(V0,V3,V0), P_b3-{F}(V4), P_c3-{F}(V5), P_divide-{F}(V0,V5,V6), P_divide-{F}(V6,V0,V6), P_divide-{F}(V0,V6,V7), P_divide-{F}(V4,V4,V8), P_divide-{F}(V8,V0,V9), P_divide-{F}(V0,V9,V0), P_divide-{F}(V0,V10,V7), P_divide-{F}(V0,V0,V11), P_divide-{F}(V11,V1,V0), P_divide-{F}(V11,V3,V0) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #169: mergings( V2 == V3, V3 == V4, V4 == V12; #165 ), references = 1, size of lhs = 12:
% 3.36/3.54 P_identity-{F}(V0), P_a3-{F}(V0), P_divide-{F}(V0,V0,V0), P_divide-{F}(V0,V1,V0), P_divide-{F}(V0,V2,V0), P_b3-{F}(V3), P_c3-{F}(V4), P_divide-{F}(V3,V3,V5), P_divide-{F}(V5,V0,V6), P_divide-{F}(V0,V6,V0), P_divide-{F}(V0,V7,V0), P_divide-{F}(V0,V8,V0) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #174: mergings( V1 == V2, V2 == V3, V3 == V11; #170 ), references = 1, size of lhs = 11:
% 3.36/3.54 P_identity-{F}(V0), P_a3-{F}(V0), P_divide-{F}(V0,V0,V0), P_divide-{F}(V0,V1,V0), P_divide-{F}(V0,V2,V0), P_b3-{F}(V3), P_divide-{F}(V3,V3,V4), P_divide-{F}(V4,V0,V5), P_divide-{F}(V0,V5,V0), P_divide-{F}(V0,V6,V0), P_divide-{F}(V0,V7,V0) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #182: mergings( V1 == V2, V4 == V9, V9 == V10, V2 == V3, V3 == V10; #176 ), references = 1, size of lhs = 7:
% 3.36/3.54 P_identity-{F}(V0), P_a3-{F}(V0), P_divide-{F}(V0,V0,V0), P_divide-{F}(V0,V1,V0), P_divide-{F}(V0,V2,V0), P_divide-{F}(V0,V3,V0), P_divide-{F}(V0,V4,V0) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #190: exists( #7, #4 ), references = 4, size of lhs = 6:
% 3.36/3.54 P_identity-{F}(V0), P_a3-{F}(V1), P_b3-{F}(V2), P_multiply-{F}(V1,V2,V1), P_c3-{F}(V3), P_multiply-{F}(V2,V3,V3) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #220: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V8; #214 ), references = 1, size of lhs = 12:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V1,V0), P_a3-{F}(V2), P_c3-{F}(V2), P_b3-{F}(V3), P_divide-{F}(V0,V4,V3), P_divide-{F}(V0,V3,V5), P_divide-{F}(V2,V2,V6), P_divide-{F}(V6,V0,V5), P_divide-{F}(V0,V0,V7), P_divide-{F}(V7,V1,V0), P_divide-{F}(V7,V4,V0) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #247: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V8; #240 ), references = 3, size of lhs = 11:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V1,V0), P_a3-{F}(V2), P_b3-{F}(V3), P_divide-{F}(V0,V3,V4), P_c3-{F}(V5), P_multiply-{F}(V3,V5,V5), P_divide-{F}(V2,V2,V6), P_divide-{F}(V6,V0,V4), P_divide-{F}(V0,V0,V7), P_divide-{F}(V7,V1,V0) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #253: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V8; #241 ), references = 1, size of lhs = 11:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V1,V0), P_a3-{F}(V2), P_b3-{F}(V3), P_c3-{F}(V3), P_multiply-{F}(V3,V3,V3), P_divide-{F}(V0,V3,V4), P_divide-{F}(V2,V2,V5), P_divide-{F}(V5,V0,V4), P_divide-{F}(V0,V0,V6), P_divide-{F}(V6,V1,V0) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #277: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9; #270 ), references = 1, size of lhs = 17:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V1,V0), P_a3-{F}(V2), P_b3-{F}(V3), P_multiply-{F}(V2,V3,V2), P_divide-{F}(V0,V4,V3), P_c3-{F}(V5), P_divide-{F}(V6,V4,V0), P_divide-{F}(V0,V7,V8), P_divide-{F}(V6,V7,V9), P_divide-{F}(V0,V10,V9), P_divide-{F}(V11,V10,V8), P_divide-{F}(V12,V11,V12), P_divide-{F}(V12,V13,V5), P_divide-{F}(V13,V1,V14), P_divide-{F}(V0,V15,V14), P_divide-{F}(V6,V15,V9) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #283: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9; #271 ), references = 2, size of lhs = 22:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V1,V0), P_divide-{F}(V0,V2,V0), P_a3-{F}(V3), P_b3-{F}(V4), P_divide-{F}(V0,V5,V4), P_divide-{F}(V0,V4,V6), P_c3-{F}(V7), P_divide-{F}(V3,V3,V8), P_divide-{F}(V8,V0,V6), P_divide-{F}(V0,V0,V9), P_divide-{F}(V9,V2,V0), P_divide-{F}(V10,V5,V0), P_divide-{F}(V0,V11,V12), P_divide-{F}(V10,V11,V13), P_divide-{F}(V0,V14,V13), P_divide-{F}(V15,V14,V12), P_divide-{F}(V16,V15,V16), P_divide-{F}(V16,V17,V7), P_divide-{F}(V17,V1,V18), P_divide-{F}(V0,V19,V18), P_divide-{F}(V10,V19,V13) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #312: mergings( V2 == V3, V3 == V4, V11 == V12; #306 ), references = 1, size of lhs = 12:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V1,V0), P_a3-{F}(V2), P_b3-{F}(V3), P_divide-{F}(V0,V4,V3), P_divide-{F}(V0,V3,V5), P_c3-{F}(V6), P_divide-{F}(V2,V2,V7), P_divide-{F}(V7,V0,V5), P_divide-{F}(V0,V0,V8), P_divide-{F}(V8,V1,V0), P_divide-{F}(V8,V4,V0) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #318: mergings( V7 == V4, V9 == V11, V2 == V3, V3 == V4, V11 == V12; #307 ), references = 1, size of lhs = 14:
% 3.36/3.54 P_identity-{F}(V0), P_b3-{F}(V0), P_divide-{F}(V0,V1,V0), P_a3-{F}(V2), P_divide-{F}(V0,V3,V0), P_c3-{F}(V4), P_divide-{F}(V2,V2,V5), P_divide-{F}(V5,V0,V6), P_divide-{F}(V6,V1,V0), P_divide-{F}(V0,V0,V6), P_divide-{F}(V0,V6,V0), P_divide-{F}(V6,V7,V0), P_divide-{F}(V0,V7,V8), P_divide-{F}(V8,V0,V8) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #324: mergings( V1 == V2, V2 == V3, V10 == V11; #319 ), references = 1, size of lhs = 11:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V1,V0), P_a3-{F}(V2), P_b3-{F}(V3), P_divide-{F}(V0,V4,V3), P_divide-{F}(V0,V3,V5), P_divide-{F}(V2,V2,V6), P_divide-{F}(V6,V0,V5), P_divide-{F}(V0,V0,V7), P_divide-{F}(V7,V1,V0), P_divide-{F}(V7,V4,V0) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #330: mergings( V6 == V3, V8 == V10, V1 == V2, V2 == V3, V10 == V11; #320 ), references = 1, size of lhs = 13:
% 3.36/3.54 P_identity-{F}(V0), P_b3-{F}(V0), P_divide-{F}(V0,V1,V0), P_a3-{F}(V2), P_divide-{F}(V0,V3,V0), P_divide-{F}(V2,V2,V4), P_divide-{F}(V4,V0,V5), P_divide-{F}(V5,V1,V0), P_divide-{F}(V0,V0,V5), P_divide-{F}(V0,V5,V0), P_divide-{F}(V5,V6,V0), P_divide-{F}(V0,V6,V7), P_divide-{F}(V7,V0,V7) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #342: mergings( V3 == V4, V4 == V5, V5 == V6; #338 ), references = 1, size of lhs = 12:
% 3.36/3.54 P_identity-{F}(V0), P_a3-{F}(V1), P_b3-{F}(V2), P_divide-{F}(V0,V2,V3), P_c3-{F}(V4), P_multiply-{F}(V2,V4,V2), P_divide-{F}(V0,V4,V5), P_divide-{F}(V5,V6,V1), P_divide-{F}(V0,V6,V7), P_divide-{F}(V0,V8,V1), P_divide-{F}(V9,V8,V7), P_divide-{F}(V3,V9,V3) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #354: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V9; #347 ), references = 2, size of lhs = 11:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V1,V0), P_a3-{F}(V2), P_b3-{F}(V3), P_divide-{F}(V0,V3,V4), P_divide-{F}(V4,V0,V4), P_c3-{F}(V5), P_multiply-{F}(V3,V5,V3), P_divide-{F}(V0,V5,V0), P_divide-{F}(V0,V0,V6), P_divide-{F}(V6,V1,V0) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #385: mergings( V6 == V10, V2 == V3, V3 == V5, V5 == V10; #380 ), references = 1, size of lhs = 8:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_divide-{F}(V0,V1,V0), P_a3-{F}(V2), P_b3-{F}(V3), P_c3-{F}(V4), P_divide-{F}(V0,V4,V0), P_divide-{F}(V0,V5,V0) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #396: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #391 ), references = 4, size of lhs = 16:
% 3.36/3.54 P_identity-{F}(V0), P_a3-{F}(V1), P_divide-{F}(V0,V2,V1), P_b3-{F}(V3), P_divide-{F}(V0,V3,V4), P_c3-{F}(V5), P_divide-{F}(V0,V5,V6), P_multiply-{F}(V3,V5,V7), P_multiply-{F}(V1,V7,V8), P_divide-{F}(V0,V9,V4), P_divide-{F}(V6,V10,V9), P_divide-{F}(V0,V10,V11), P_divide-{F}(V0,V12,V13), P_divide-{F}(V14,V12,V11), P_divide-{F}(V2,V14,V15), P_divide-{F}(V13,V15,V8) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #411: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #406 ), references = 1, size of lhs = 16:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V1,V0), P_a3-{F}(V2), P_b3-{F}(V3), P_divide-{F}(V0,V3,V4), P_c3-{F}(V5), P_divide-{F}(V0,V5,V6), P_multiply-{F}(V3,V5,V7), P_divide-{F}(V0,V7,V0), P_divide-{F}(V0,V8,V0), P_divide-{F}(V6,V8,V9), P_divide-{F}(V0,V9,V4), P_divide-{F}(V0,V0,V10), P_divide-{F}(V10,V1,V0), P_divide-{F}(V11,V0,V0), P_divide-{F}(V2,V12,V11) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #435: mergings( V3 == V4, V4 == V5, V5 == V7; #430 ), references = 1, size of lhs = 16:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V1,V0), P_a3-{F}(V2), P_divide-{F}(V0,V3,V2), P_b3-{F}(V4), P_multiply-{F}(V2,V4,V5), P_c3-{F}(V6), P_multiply-{F}(V5,V6,V7), P_multiply-{F}(V4,V6,V8), P_divide-{F}(V8,V3,V9), P_divide-{F}(V9,V7,V0), P_divide-{F}(V0,V10,V11), P_divide-{F}(V12,V1,V11), P_divide-{F}(V13,V12,V8), P_divide-{F}(V14,V10,V15), P_divide-{F}(V15,V13,V16) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #440: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8; #431 ), references = 2, size of lhs = 25:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V1,V0), P_divide-{F}(V0,V2,V0), P_a3-{F}(V3), P_divide-{F}(V0,V4,V3), P_divide-{F}(V0,V5,V3), P_b3-{F}(V6), P_divide-{F}(V0,V6,V7), P_c3-{F}(V8), P_divide-{F}(V0,V8,V9), P_divide-{F}(V0,V10,V9), P_multiply-{F}(V6,V8,V11), P_divide-{F}(V11,V4,V12), P_divide-{F}(V13,V1,V0), P_divide-{F}(V0,V14,V7), P_divide-{F}(V12,V15,V0), P_divide-{F}(V16,V13,V11), P_divide-{F}(V17,V10,V18), P_divide-{F}(V18,V14,V19), P_divide-{F}(V17,V2,V20), P_divide-{F}(V20,V16,V19), P_divide-{F}(V0,V21,V22), P_divide-{F}(V23,V21,V16), P_divide-{F}(V5,V23,V24), P_divide-{F}(V22,V24,V15) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #456: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V10; #448 ), references = 1, size of lhs = 24:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V1,V0), P_a3-{F}(V2), P_b3-{F}(V3), P_divide-{F}(V0,V3,V2), P_multiply-{F}(V2,V3,V4), P_c3-{F}(V5), P_multiply-{F}(V4,V5,V6), P_divide-{F}(V0,V5,V7), P_divide-{F}(V0,V7,V8), P_divide-{F}(V0,V9,V3), P_divide-{F}(V7,V10,V7), P_divide-{F}(V10,V9,V11), P_divide-{F}(V0,V12,V11), P_divide-{F}(V13,V12,V3), P_divide-{F}(V7,V1,V14), P_divide-{F}(V0,V15,V14), P_divide-{F}(V16,V6,V0), P_divide-{F}(V0,V17,V18), P_divide-{F}(V19,V17,V8), P_divide-{F}(V13,V19,V20), P_divide-{F}(V18,V20,V16), P_divide-{F}(V21,V15,V22), P_divide-{F}(V22,V3,V23) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #468: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V12, V14 == V16, V17 == V21, V22 == V27; #449 ), references = 1, size of lhs = 31:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V1,V0), P_divide-{F}(V0,V2,V0), P_a3-{F}(V3), P_divide-{F}(V0,V4,V3), P_b3-{F}(V5), P_divide-{F}(V0,V5,V3), P_c3-{F}(V6), P_divide-{F}(V7,V1,V0), P_divide-{F}(V0,V8,V3), P_divide-{F}(V0,V6,V9), P_divide-{F}(V0,V10,V9), P_divide-{F}(V7,V11,V5), P_divide-{F}(V0,V11,V12), P_divide-{F}(V0,V13,V5), P_divide-{F}(V14,V13,V12), P_divide-{F}(V9,V14,V9), P_divide-{F}(V0,V9,V15), P_divide-{F}(V4,V5,V16), P_divide-{F}(V15,V16,V17), P_divide-{F}(V18,V17,V0), P_divide-{F}(V0,V19,V20), P_divide-{F}(V21,V2,V20), P_divide-{F}(V21,V10,V22), P_divide-{F}(V22,V8,V23), P_divide-{F}(V9,V19,V24), P_divide-{F}(V24,V23,V5), P_divide-{F}(V0,V25,V26), P_divide-{F}(V27,V25,V15), P_divide-{F}(V7,V27,V28), P_divide-{F}(V26,V28,V18) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #489: mergings( V3 == V4, V4 == V5, V5 == V6; #484 ), references = 2, size of lhs = 17:
% 3.36/3.54 P_identity-{F}(V0), P_a3-{F}(V1), P_divide-{F}(V0,V2,V1), P_b3-{F}(V3), P_divide-{F}(V0,V3,V4), P_c3-{F}(V5), P_divide-{F}(V0,V5,V6), P_multiply-{F}(V3,V5,V7), P_divide-{F}(V0,V7,V8), P_divide-{F}(V0,V8,V9), P_divide-{F}(V0,V10,V9), P_divide-{F}(V0,V1,V11), P_divide-{F}(V2,V12,V11), P_divide-{F}(V12,V10,V13), P_divide-{F}(V0,V14,V13), P_divide-{F}(V6,V14,V15), P_divide-{F}(V0,V15,V4) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #491: mergings( V3 == V4; #485 ), references = 3, size of lhs = 24:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V1,V0), P_divide-{F}(V0,V2,V0), P_a3-{F}(V3), P_divide-{F}(V0,V4,V3), P_b3-{F}(V5), P_divide-{F}(V0,V5,V6), P_c3-{F}(V7), P_divide-{F}(V0,V7,V8), P_divide-{F}(V0,V9,V8), P_multiply-{F}(V5,V7,V10), P_divide-{F}(V0,V11,V10), P_divide-{F}(V12,V1,V0), P_divide-{F}(V0,V13,V6), P_divide-{F}(V0,V14,V10), P_divide-{F}(V15,V12,V10), P_divide-{F}(V16,V14,V15), P_divide-{F}(V4,V16,V17), P_divide-{F}(V0,V17,V3), P_divide-{F}(V0,V18,V17), P_divide-{F}(V19,V9,V20), P_divide-{F}(V20,V13,V21), P_divide-{F}(V19,V2,V22), P_divide-{F}(V22,V15,V21) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #510: mergings( V2 == V3, V3 == V4; #506 ), references = 1, size of lhs = 17:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V1,V0), P_a3-{F}(V2), P_b3-{F}(V3), P_divide-{F}(V0,V3,V4), P_c3-{F}(V5), P_divide-{F}(V0,V5,V6), P_multiply-{F}(V3,V5,V7), P_divide-{F}(V0,V7,V8), P_divide-{F}(V0,V8,V9), P_divide-{F}(V0,V10,V9), P_divide-{F}(V0,V0,V11), P_divide-{F}(V11,V1,V0), P_divide-{F}(V11,V10,V12), P_divide-{F}(V0,V13,V12), P_divide-{F}(V6,V13,V14), P_divide-{F}(V0,V14,V4) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #513: mergings( V2 == V3, V3 == V4; #507 ), references = 2, size of lhs = 23:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V1,V0), P_divide-{F}(V0,V2,V0), P_divide-{F}(V0,V3,V0), P_a3-{F}(V4), P_b3-{F}(V5), P_divide-{F}(V0,V5,V6), P_c3-{F}(V7), P_divide-{F}(V0,V7,V8), P_divide-{F}(V0,V9,V8), P_multiply-{F}(V5,V7,V10), P_divide-{F}(V0,V11,V10), P_divide-{F}(V12,V2,V0), P_divide-{F}(V0,V13,V6), P_divide-{F}(V0,V14,V10), P_divide-{F}(V0,V0,V15), P_divide-{F}(V15,V1,V0), P_divide-{F}(V15,V14,V16), P_divide-{F}(V16,V12,V10), P_divide-{F}(V17,V9,V18), P_divide-{F}(V18,V13,V19), P_divide-{F}(V17,V3,V20), P_divide-{F}(V20,V16,V19) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #535: mergings( V2 == V3, V3 == V4; #531 ), references = 1, size of lhs = 19:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_divide-{F}(V0,V1,V0), P_divide-{F}(V0,V2,V0), P_divide-{F}(V0,V3,V0), P_a3-{F}(V4), P_b3-{F}(V5), P_divide-{F}(V0,V5,V6), P_c3-{F}(V7), P_multiply-{F}(V5,V7,V4), P_divide-{F}(V0,V7,V8), P_divide-{F}(V0,V9,V8), P_divide-{F}(V10,V2,V0), P_divide-{F}(V4,V10,V4), P_divide-{F}(V0,V11,V6), P_divide-{F}(V12,V9,V13), P_divide-{F}(V13,V11,V14), P_divide-{F}(V12,V3,V15), P_divide-{F}(V15,V4,V14) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #540: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V18; #532 ), references = 1, size of lhs = 20:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_divide-{F}(V0,V1,V0), P_divide-{F}(V0,V2,V0), P_a3-{F}(V3), P_b3-{F}(V4), P_divide-{F}(V0,V4,V5), P_c3-{F}(V6), P_divide-{F}(V0,V6,V7), P_divide-{F}(V0,V8,V7), P_multiply-{F}(V4,V6,V9), P_divide-{F}(V10,V1,V0), P_divide-{F}(V9,V10,V9), P_divide-{F}(V0,V11,V5), P_divide-{F}(V0,V12,V0), P_divide-{F}(V0,V13,V0), P_divide-{F}(V14,V8,V15), P_divide-{F}(V15,V11,V16), P_divide-{F}(V14,V2,V17), P_divide-{F}(V17,V9,V16) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #556: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V20, V15 == V21; #547 ), references = 2, size of lhs = 25:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_divide-{F}(V0,V1,V0), P_divide-{F}(V0,V2,V0), P_a3-{F}(V3), P_b3-{F}(V4), P_divide-{F}(V0,V4,V5), P_c3-{F}(V6), P_divide-{F}(V7,V1,V0), P_divide-{F}(V0,V8,V5), P_divide-{F}(V0,V9,V0), P_divide-{F}(V0,V10,V0), P_divide-{F}(V0,V6,V11), P_divide-{F}(V0,V12,V11), P_divide-{F}(V11,V13,V11), P_divide-{F}(V7,V14,V4), P_divide-{F}(V0,V14,V15), P_divide-{F}(V0,V16,V4), P_divide-{F}(V13,V16,V15), P_divide-{F}(V0,V17,V18), P_divide-{F}(V19,V2,V18), P_divide-{F}(V19,V12,V20), P_divide-{F}(V20,V8,V21), P_divide-{F}(V11,V17,V22), P_divide-{F}(V22,V21,V4) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #568: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V12; #562 ), references = 1, size of lhs = 10:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_divide-{F}(V0,V1,V0), P_divide-{F}(V0,V2,V0), P_a3-{F}(V3), P_b3-{F}(V4), P_c3-{F}(V4), P_divide-{F}(V4,V4,V0), P_divide-{F}(V0,V5,V0), P_divide-{F}(V0,V6,V0) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #585: mergings( V17 == V19, V2 == V3, V3 == V4, V4 == V21, V8 == V15; #579 ), references = 2, size of lhs = 20:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_divide-{F}(V0,V1,V0), P_a3-{F}(V2), P_b3-{F}(V3), P_divide-{F}(V0,V3,V4), P_c3-{F}(V5), P_divide-{F}(V6,V1,V0), P_divide-{F}(V0,V7,V4), P_divide-{F}(V0,V8,V0), P_divide-{F}(V0,V9,V0), P_divide-{F}(V6,V10,V3), P_divide-{F}(V0,V10,V3), P_divide-{F}(V5,V5,V11), P_divide-{F}(V11,V0,V12), P_divide-{F}(V0,V12,V0), P_divide-{F}(V11,V7,V13), P_divide-{F}(V0,V13,V3), P_divide-{F}(V0,V14,V3), P_divide-{F}(V0,V15,V0) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #599: mergings( V4 == V11, V2 == V3, V3 == V11, V11 == V13; #594 ), references = 1, size of lhs = 11:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_c3-{F}(V3), P_divide-{F}(V3,V3,V0), P_divide-{F}(V0,V4,V0), P_divide-{F}(V0,V5,V0), P_divide-{F}(V0,V6,V0), P_divide-{F}(V0,V7,V0), P_divide-{F}(V0,V8,V0) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #606: mergings( V3 == V10, V1 == V2, V2 == V10, V10 == V12; #601 ), references = 1, size of lhs = 9:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_divide-{F}(V0,V3,V0), P_divide-{F}(V0,V4,V0), P_divide-{F}(V0,V5,V0), P_divide-{F}(V0,V6,V0), P_divide-{F}(V0,V7,V0) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #612: mergings( V3 == V9, V1 == V2, V2 == V9, V9 == V11; #607 ), references = 1, size of lhs = 8:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_divide-{F}(V0,V2,V0), P_divide-{F}(V0,V3,V0), P_divide-{F}(V0,V4,V0), P_divide-{F}(V0,V5,V0), P_divide-{F}(V0,V6,V0) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #618: mergings( V3 == V8, V1 == V2, V2 == V8, V8 == V10; #613 ), references = 1, size of lhs = 7:
% 3.36/3.54 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_divide-{F}(V0,V1,V0), P_divide-{F}(V0,V2,V0), P_divide-{F}(V0,V3,V0), P_divide-{F}(V0,V4,V0), P_divide-{F}(V0,V5,V0) | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 #621: exists( #6, #619 ), references = 1, size of lhs = 0:
% 3.36/3.54 FALSE | FALSE
% 3.36/3.54 (used 0 times, uses = {})
% 3.36/3.54
% 3.36/3.54 number of learnt formulas = 51
% 3.36/3.54
% 3.36/3.54
% 3.36/3.54 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.36/3.54
% 3.36/3.54 randbase = 1
%------------------------------------------------------------------------------