TSTP Solution File: GRP576-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP576-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n021.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 06:04:08 EDT 2022
% Result : Unsatisfiable 3.62s 3.79s
% Output : Refutation 3.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP576-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.12/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 13:45:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 3.62/3.79 GeoParameters:
% 3.62/3.79
% 3.62/3.79 tptp_input = 1
% 3.62/3.79 tptp_output = 0
% 3.62/3.79 nonempty = 1
% 3.62/3.79 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.62/3.79 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 3.62/3.79
% 3.62/3.79
% 3.62/3.79 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.62/3.79 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.62/3.79
% 3.62/3.79 RuleSystem INPUT:
% 3.62/3.79
% 3.62/3.79 Initial Rules:
% 3.62/3.79 #0: input, references = 13, size of lhs = 9:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V4,V2,V5), P_double_divide-{F}(V3,V5,V6), P_double_divide-{F}(V4,V0,V7), P_double_divide-{F}(V6,V7,V8), P_double_divide-{F}(V2,V8,V9), P_double_divide-{F}(V9,V1,V10), V10 == V3 | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #1: input, references = 4, size of lhs = 6:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_multiply-{F}(V2,V3,V4), P_double_divide-{F}(V3,V2,V5), P_double_divide-{F}(V5,V0,V6), V4 == V6 | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #2: input, references = 5, size of lhs = 5:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V2,V3), P_double_divide-{F}(V2,V0,V4), V3 == V4 | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #3: input, references = 4, size of lhs = 5:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V2,V3), P_double_divide-{F}(V2,V3,V4), V0 == V4 | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #4: input, references = 7, size of lhs = 6:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V5), P_multiply-{F}(V3,V2,V5) | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #5: input, references = 14, size of lhs = 2:
% 3.62/3.79 #-{F} V0, #-{F} V1 | EXISTS V2: P_double_divide-{T}(V0,V1,V2)
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #6: input, references = 4, size of lhs = 0:
% 3.62/3.79 FALSE | EXISTS V0: P_identity-{T}(V0)
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #7: input, references = 13, size of lhs = 2:
% 3.62/3.79 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #8: input, references = 12, size of lhs = 1:
% 3.62/3.79 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #9: input, references = 4, size of lhs = 0:
% 3.62/3.79 FALSE | EXISTS V0: P_a-{T}(V0)
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #10: input, references = 5, size of lhs = 0:
% 3.62/3.79 FALSE | EXISTS V0: P_b-{T}(V0)
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 number of initial rules = 11
% 3.62/3.79
% 3.62/3.79 Simplifiers:
% 3.62/3.79 #11: unsound, references = 3, size of lhs = 3:
% 3.62/3.79 P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #12: unsound, references = 3, size of lhs = 3:
% 3.62/3.79 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #13: unsound, references = 3, size of lhs = 3:
% 3.62/3.79 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #14: unsound, references = 3, size of lhs = 3:
% 3.62/3.79 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #15: unsound, references = 3, size of lhs = 3:
% 3.62/3.79 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #16: unsound, references = 3, size of lhs = 3:
% 3.62/3.79 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 number of simplifiers = 6
% 3.62/3.79
% 3.62/3.79 Learnt:
% 3.62/3.79 #19: exists( #5, #2 ), references = 8, size of lhs = 2:
% 3.62/3.79 P_identity-{F}(V0), P_inverse-{F}(V0,V1) | P_double_divide-{T}(V0,V0,V1)
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #20: exists( #5, #3 ), references = 3, size of lhs = 4:
% 3.62/3.79 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V1,V2,V3), V0 == V3 | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #24: exists( #5, #20 ), references = 18, size of lhs = 2:
% 3.62/3.79 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_double_divide-{T}(V1,V2,V0)
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #25: exists( #5, #2 ), references = 28, size of lhs = 3:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V2,V3) | P_double_divide-{T}(V2,V0,V3)
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #29: exists( #8, #27 ), references = 3, size of lhs = 5:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V4,V1), P_multiply-{F}(V4,V3,V5), V5 == V2 | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #31: exists( #7, #28 ), references = 4, size of lhs = 3:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V4,V1) | P_multiply-{T}(V4,V3,V2)
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #40: mergings( V0 == V3; #38 ), references = 1, size of lhs = 4:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V2,V0,V0), V0 == V2 | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #48: exists( #8, #44 ), references = 5, size of lhs = 3:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V1,V2,V0), P_multiply-{F}(V2,V1,V3) | P_inverse-{T}(V0,V3)
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #58: exists( #7, #4 ), references = 1, size of lhs = 4:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_a-{F}(V2), P_b-{F}(V2) | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #62: exists( #7, #60 ), references = 1, size of lhs = 4:
% 3.62/3.79 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V1), P_double_divide-{F}(V2,V3,V0) | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #66: exists( #8, #64 ), references = 1, size of lhs = 3:
% 3.62/3.79 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V1) | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #78: exists( #8, #73 ), references = 23, size of lhs = 4:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V3,V4), P_multiply-{F}(V3,V2,V5) | P_inverse-{T}(V4,V5)
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #86: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V7; #81 ), references = 12, size of lhs = 8:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V1,V3,V4), P_double_divide-{F}(V5,V4,V6), P_double_divide-{F}(V6,V2,V7), P_double_divide-{F}(V3,V7,V8), P_double_divide-{F}(V9,V10,V8) | P_multiply-{T}(V10,V9,V5)
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #106: mergings( V8 == V9, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9; #99 ), references = 4, size of lhs = 11:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V1,V3,V4), P_double_divide-{F}(V5,V4,V6), P_double_divide-{F}(V6,V2,V7), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V9,V5,V10), P_double_divide-{F}(V5,V10,V11), P_double_divide-{F}(V11,V0,V12), V12 == V8 | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #151: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #143 ), references = 14, size of lhs = 11:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V1,V3,V4), P_double_divide-{F}(V5,V4,V6), P_double_divide-{F}(V6,V2,V7), P_double_divide-{F}(V8,V9,V0), P_double_divide-{F}(V8,V0,V10), P_double_divide-{F}(V5,V10,V11), P_double_divide-{F}(V9,V11,V12), P_double_divide-{F}(V12,V0,V13) | P_double_divide-{T}(V3,V7,V13)
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #156: mergings( V6 == V7, V3 == V4, V4 == V5, V5 == V7; #144 ), references = 5, size of lhs = 13:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V1,V3,V4), P_double_divide-{F}(V5,V4,V6), P_double_divide-{F}(V6,V2,V7), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V8,V10,V11), P_double_divide-{F}(V12,V11,V13), P_double_divide-{F}(V13,V9,V14), P_double_divide-{F}(V5,V12,V15), P_double_divide-{F}(V12,V15,V16), P_double_divide-{F}(V16,V0,V17) | P_double_divide-{T}(V3,V7,V17)
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #188: mergings( V11 == V12, V12 == V17, V3 == V5, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V17, V19 == V20, V17 == V13, V30 == V31, V13 == V14, V15 == V14, V14 == V16; #170 ), references = 3, size of lhs = 14:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V4,V2,V5), P_double_divide-{F}(V6,V7,V0), P_double_divide-{F}(V6,V0,V8), P_double_divide-{F}(V3,V8,V9), P_double_divide-{F}(V7,V9,V10), V5 == V10, P_double_divide-{F}(V11,V12,V10), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V5,V14,V15), P_double_divide-{F}(V15,V14,V5) | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #205: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19; #171 ), references = 3, size of lhs = 17:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V2,V1,V4), P_double_divide-{F}(V5,V4,V6), P_double_divide-{F}(V6,V3,V7), P_double_divide-{F}(V8,V9,V0), P_double_divide-{F}(V8,V0,V10), P_double_divide-{F}(V5,V10,V11), P_double_divide-{F}(V9,V11,V12), V7 == V12, P_double_divide-{F}(V13,V14,V12), P_double_divide-{F}(V15,V0,V16), P_double_divide-{F}(V15,V1,V17), P_double_divide-{F}(V7,V17,V18), P_double_divide-{F}(V18,V16,V7) | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #220: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V14 == V15; #209 ), references = 1, size of lhs = 13:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V5,V2,V4), P_double_divide-{F}(V6,V7,V4), P_double_divide-{F}(V0,V8,V9), P_double_divide-{F}(V10,V9,V4), P_double_divide-{F}(V3,V10,V11), P_double_divide-{F}(V10,V11,V12), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V13,V0,V14), V14 == V5 | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #279: mergings( V9 == V10, V10 == V11, V3 == V5, V5 == V6, V4 == V6, V6 == V7, V7 == V8, V8 == V11, V11 == V12, V12 == V13, V13 == V14, V21 == V24; #264 ), references = 1, size of lhs = 18:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V3,V5,V4), P_double_divide-{F}(V6,V3,V5), P_double_divide-{F}(V6,V7,V4), P_double_divide-{F}(V8,V7,V4), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V0,V10,V7), P_double_divide-{F}(V11,V0,V10), P_double_divide-{F}(V12,V0,V10), P_double_divide-{F}(V13,V14,V4), P_double_divide-{F}(V15,V16,V0), P_double_divide-{F}(V15,V0,V17), P_double_divide-{F}(V11,V17,V18), P_double_divide-{F}(V16,V18,V12), P_double_divide-{F}(V19,V20,V9) | P_multiply-{T}(V14,V13,V9)
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #292: mergings( V9 == V10, V10 == V11, V3 == V5, V5 == V6, V4 == V6, V6 == V7, V7 == V8, V8 == V11, V11 == V12, V12 == V13, V13 == V14, V21 == V24; #265 ), references = 1, size of lhs = 18:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V3,V5,V4), P_double_divide-{F}(V6,V3,V5), P_double_divide-{F}(V6,V7,V4), P_double_divide-{F}(V8,V7,V4), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V0,V10,V7), P_double_divide-{F}(V11,V0,V10), P_double_divide-{F}(V12,V0,V10), P_double_divide-{F}(V13,V14,V4), P_double_divide-{F}(V15,V16,V0), P_double_divide-{F}(V15,V0,V17), P_double_divide-{F}(V11,V17,V18), P_double_divide-{F}(V16,V18,V12), P_double_divide-{F}(V19,V20,V9) | P_multiply-{T}(V14,V13,V9)
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #308: mergings( V7 == V8, V3 == V5, V5 == V6, V4 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V24 == V27; #266 ), references = 1, size of lhs = 19:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V3,V5,V4), P_double_divide-{F}(V6,V3,V5), P_double_divide-{F}(V6,V7,V4), P_double_divide-{F}(V8,V7,V4), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V0,V10,V7), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V12,V0,V10), P_double_divide-{F}(V13,V11,V0), P_double_divide-{F}(V14,V0,V13), P_double_divide-{F}(V15,V16,V4), P_double_divide-{F}(V17,V18,V0), P_double_divide-{F}(V17,V0,V19), P_double_divide-{F}(V12,V19,V20), P_double_divide-{F}(V18,V20,V14) | P_multiply-{T}(V16,V15,V9)
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #404: mergings( V24 == V27, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #394 ), references = 1, size of lhs = 20:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V1,V3,V4), P_double_divide-{F}(V3,V0,V5), P_double_divide-{F}(V6,V4,V7), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V9,V10,V0), P_double_divide-{F}(V9,V0,V11), P_double_divide-{F}(V6,V11,V12), P_double_divide-{F}(V10,V12,V13), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V14,V8,V15), P_double_divide-{F}(V2,V15,V16), P_double_divide-{F}(V17,V18,V16), P_double_divide-{F}(V19,V0,V20), P_double_divide-{F}(V19,V16,V21), P_double_divide-{F}(V22,V20,V0), P_double_divide-{F}(V23,V21,V22), V5 == V23 | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #412: mergings( V23 == V26, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #395 ), references = 1, size of lhs = 21:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V1,V3,V4), P_double_divide-{F}(V3,V0,V5), P_double_divide-{F}(V6,V4,V7), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V9,V10,V0), P_double_divide-{F}(V9,V0,V11), P_double_divide-{F}(V6,V11,V12), P_double_divide-{F}(V10,V12,V13), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V14,V8,V15), P_double_divide-{F}(V2,V15,V16), P_double_divide-{F}(V17,V16,V0), P_double_divide-{F}(V18,V0,V17), V5 == V18, P_double_divide-{F}(V19,V20,V16), P_double_divide-{F}(V21,V0,V22), P_double_divide-{F}(V21,V23,V0), P_double_divide-{F}(V3,V22,V24) | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #430: mergings( V11 == V12, V3 == V5, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V12; #419 ), references = 3, size of lhs = 14:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V1,V2,V3), P_double_divide-{F}(V4,V0,V2), P_double_divide-{F}(V5,V6,V2), P_double_divide-{F}(V7,V3,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V10,V9,V0), P_double_divide-{F}(V11,V0,V10), P_double_divide-{F}(V12,V13,V0), P_double_divide-{F}(V12,V0,V14), P_double_divide-{F}(V7,V14,V15), P_double_divide-{F}(V13,V15,V11) | P_multiply-{T}(V6,V5,V4)
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #441: mergings( V11 == V12, V3 == V5, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V12, V12 == V13; #420 ), references = 1, size of lhs = 15:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V2,V3,V4), P_double_divide-{F}(V5,V0,V3), P_double_divide-{F}(V6,V7,V3), P_double_divide-{F}(V8,V4,V9), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V11,V10,V0), P_double_divide-{F}(V12,V0,V11), P_double_divide-{F}(V13,V14,V0), P_double_divide-{F}(V13,V0,V15), P_double_divide-{F}(V8,V15,V16), P_double_divide-{F}(V14,V16,V12) | P_multiply-{T}(V7,V6,V5)
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #465: mergings( V7 == V8, V11 == V12, V12 == V13, V13 == V14, V2 == V4, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V14, V14 == V15, V15 == V16, V16 == V17; #449 ), references = 2, size of lhs = 12:
% 3.62/3.79 P_a-{F}(V0), P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_b-{F}(V1), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V5,V4,V0), P_double_divide-{F}(V6,V0,V5), P_double_divide-{F}(V7,V8,V0), P_double_divide-{F}(V7,V0,V9), P_double_divide-{F}(V2,V9,V10), P_double_divide-{F}(V8,V10,V6) | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #478: exists( #5, #0 ), references = 3, size of lhs = 7:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V2,V4,V5), P_double_divide-{F}(V6,V5,V7), P_double_divide-{F}(V7,V3,V8), P_double_divide-{F}(V4,V8,V9) | P_double_divide-{T}(V9,V1,V6)
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #484: exists( #7, #482 ), references = 2, size of lhs = 2:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V1,V2,V0) | P_multiply-{T}(V2,V1,V0)
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #490: exists( #8, #488 ), references = 1, size of lhs = 3:
% 3.62/3.79 P_a-{F}(V0), P_identity-{F}(V0), P_b-{F}(V1) | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #492: exists( #10, #489 ), references = 1, size of lhs = 2:
% 3.62/3.79 P_a-{F}(V0), P_identity-{F}(V0) | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #496: exists( #5, #188 ), references = 2, size of lhs = 11:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V4,V2,V5), P_double_divide-{F}(V6,V7,V0), P_double_divide-{F}(V6,V0,V8), P_double_divide-{F}(V3,V8,V9), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V5,V11,V12), P_double_divide-{F}(V12,V11,V5) | P_double_divide-{T}(V7,V9,V5)
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #497: exists( #5, #205 ), references = 1, size of lhs = 14:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V2,V1,V4), P_double_divide-{F}(V5,V4,V6), P_double_divide-{F}(V6,V3,V7), P_double_divide-{F}(V8,V9,V0), P_double_divide-{F}(V8,V0,V10), P_double_divide-{F}(V5,V10,V11), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V12,V1,V14), P_double_divide-{F}(V7,V14,V15), P_double_divide-{F}(V15,V13,V7) | P_double_divide-{T}(V9,V11,V7)
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #516: mergings( V3 == V4, V4 == V5, V1 == V24, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V13 == V14, V9 == V10, V10 == V11; #505 ), references = 1, size of lhs = 32:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a-{F}(V1), P_double_divide-{F}(V2,V1,V0), P_double_divide-{F}(V2,V0,V1), P_b-{F}(V3), P_double_divide-{F}(V1,V0,V4), P_double_divide-{F}(V5,V0,V1), P_double_divide-{F}(V6,V0,V1), P_double_divide-{F}(V7,V0,V1), P_double_divide-{F}(V8,V0,V1), P_double_divide-{F}(V7,V8,V9), P_double_divide-{F}(V10,V9,V3), P_double_divide-{F}(V11,V0,V3), P_double_divide-{F}(V12,V4,V1), P_double_divide-{F}(V13,V0,V12), P_double_divide-{F}(V14,V1,V1), P_double_divide-{F}(V15,V16,V0), P_double_divide-{F}(V15,V0,V17), P_double_divide-{F}(V10,V17,V18), P_double_divide-{F}(V16,V18,V19), P_double_divide-{F}(V19,V0,V20), P_double_divide-{F}(V21,V20,V14), P_double_divide-{F}(V22,V20,V3), P_double_divide-{F}(V23,V24,V0), P_double_divide-{F}(V23,V0,V25), P_double_divide-{F}(V21,V25,V26), P_double_divide-{F}(V24,V26,V11), P_double_divide-{F}(V27,V28,V0), P_double_divide-{F}(V27,V0,V29), P_double_divide-{F}(V22,V29,V30), P_double_divide-{F}(V28,V30,V13) | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #543: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V8; #538 ), references = 1, size of lhs = 6:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V2,V3,V4) | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #556: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #547 ), references = 1, size of lhs = 24:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a-{F}(V1), P_double_divide-{F}(V2,V1,V0), P_double_divide-{F}(V2,V0,V1), P_b-{F}(V3), P_double_divide-{F}(V4,V0,V1), P_double_divide-{F}(V5,V0,V1), P_double_divide-{F}(V6,V0,V1), P_double_divide-{F}(V7,V0,V3), P_double_divide-{F}(V6,V8,V9), P_double_divide-{F}(V10,V9,V3), P_double_divide-{F}(V8,V0,V11), P_double_divide-{F}(V12,V11,V1), P_double_divide-{F}(V13,V14,V0), P_double_divide-{F}(V13,V0,V15), P_double_divide-{F}(V10,V15,V16), P_double_divide-{F}(V14,V16,V17), P_double_divide-{F}(V17,V0,V18), P_double_divide-{F}(V19,V18,V12), P_double_divide-{F}(V20,V21,V0), P_double_divide-{F}(V20,V0,V22), P_double_divide-{F}(V19,V22,V23), P_double_divide-{F}(V21,V23,V7) | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #578: mergings( V4 == V5, V5 == V6, V2 == V6, V3 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V15, V15 == V16; #565 ), references = 2, size of lhs = 24:
% 3.62/3.79 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a-{F}(V1), P_b-{F}(V2), P_double_divide-{F}(V3,V0,V2), P_double_divide-{F}(V4,V0,V2), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V8,V7,V0), P_double_divide-{F}(V9,V0,V8), P_double_divide-{F}(V10,V11,V0), P_double_divide-{F}(V10,V0,V12), P_double_divide-{F}(V5,V12,V13), P_double_divide-{F}(V11,V13,V9), P_double_divide-{F}(V14,V15,V0), P_double_divide-{F}(V14,V0,V16), P_double_divide-{F}(V3,V16,V17), P_double_divide-{F}(V15,V17,V18), P_double_divide-{F}(V18,V0,V19), P_double_divide-{F}(V20,V19,V0), P_double_divide-{F}(V21,V22,V0), P_double_divide-{F}(V21,V0,V23), P_double_divide-{F}(V20,V23,V24), P_double_divide-{F}(V22,V24,V4) | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #602: exists( #8, #600 ), references = 1, size of lhs = 3:
% 3.62/3.79 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2) | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #604: exists( #10, #601 ), references = 1, size of lhs = 2:
% 3.62/3.79 P_identity-{F}(V0), P_a-{F}(V1) | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #606: exists( #9, #603 ), references = 1, size of lhs = 1:
% 3.62/3.79 P_identity-{F}(V0) | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 #608: exists( #6, #605 ), references = 1, size of lhs = 0:
% 3.62/3.79 FALSE | FALSE
% 3.62/3.79 (used 0 times, uses = {})
% 3.62/3.79
% 3.62/3.79 number of learnt formulas = 41
% 3.62/3.79
% 3.62/3.79
% 3.62/3.79 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.62/3.79
% 3.62/3.79 randbase = 1
%------------------------------------------------------------------------------