TSTP Solution File: GRP075-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP075-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n019.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 06:03:06 EDT 2022
% Result : Unsatisfiable 10.31s 10.48s
% Output : Refutation 10.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP075-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n019.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 14:16:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 10.31/10.48 GeoParameters:
% 10.31/10.48
% 10.31/10.48 tptp_input = 1
% 10.31/10.48 tptp_output = 0
% 10.31/10.48 nonempty = 1
% 10.31/10.48 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.31/10.48 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 10.31/10.48
% 10.31/10.48
% 10.31/10.48 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.31/10.48 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.31/10.48
% 10.31/10.48 RuleSystem INPUT:
% 10.31/10.48
% 10.31/10.48 Initial Rules:
% 10.31/10.48 #0: input, references = 10, size of lhs = 11:
% 10.31/10.48 P_identity-{F}(V0), P_double_divide-{F}(V2,V0,V5), P_double_divide-{F}(V1,V5,V6), P_double_divide-{F}(V4,V0,V7), P_double_divide-{F}(V4,V7,V8), P_double_divide-{F}(V3,V8,V9), P_double_divide-{F}(V1,V0,V10), P_double_divide-{F}(V9,V10,V11), P_double_divide-{F}(V6,V11,V12), P_double_divide-{F}(V12,V2,V13), V13 == V3 | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #1: input, references = 5, size of lhs = 5:
% 10.31/10.48 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_double_divide-{F}(V2,V1,V4), P_double_divide-{F}(V4,V0,V5), V3 == V5 | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #2: input, references = 5, size of lhs = 4:
% 10.31/10.48 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V1,V0,V3), V2 == V3 | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #3: input, references = 4, size of lhs = 4:
% 10.31/10.48 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V1,V2,V3), V0 == V3 | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #4: input, references = 7, size of lhs = 13:
% 10.31/10.48 P_identity-{F}(V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V4), P_multiply-{F}(V0,V4,V4), P_a3-{F}(V6), P_b3-{F}(V7), P_multiply-{F}(V6,V7,V8), P_c3-{F}(V9), P_multiply-{F}(V8,V9,V12), P_multiply-{F}(V7,V9,V11), P_multiply-{F}(V6,V11,V12) | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #5: input, references = 15, size of lhs = 2:
% 10.31/10.48 #-{F} V0, #-{F} V1 | EXISTS V2: P_double_divide-{T}(V0,V1,V2)
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #6: input, references = 4, size of lhs = 0:
% 10.31/10.48 FALSE | EXISTS V0: P_identity-{T}(V0)
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #7: input, references = 19, size of lhs = 2:
% 10.31/10.48 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #8: input, references = 25, size of lhs = 1:
% 10.31/10.48 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #9: input, references = 4, size of lhs = 0:
% 10.31/10.48 FALSE | EXISTS V0: P_a1-{T}(V0)
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #10: input, references = 5, size of lhs = 0:
% 10.31/10.48 FALSE | EXISTS V0: P_a2-{T}(V0)
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #11: input, references = 6, size of lhs = 0:
% 10.31/10.48 FALSE | EXISTS V0: P_a3-{T}(V0)
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #12: input, references = 7, size of lhs = 0:
% 10.31/10.48 FALSE | EXISTS V0: P_b3-{T}(V0)
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #13: input, references = 9, size of lhs = 0:
% 10.31/10.48 FALSE | EXISTS V0: P_c3-{T}(V0)
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 number of initial rules = 14
% 10.31/10.48
% 10.31/10.48 Simplifiers:
% 10.31/10.48 #14: unsound, references = 3, size of lhs = 3:
% 10.31/10.48 P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #15: unsound, references = 3, size of lhs = 3:
% 10.31/10.48 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #16: unsound, references = 3, size of lhs = 3:
% 10.31/10.48 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #17: unsound, references = 3, size of lhs = 3:
% 10.31/10.48 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #18: unsound, references = 3, size of lhs = 3:
% 10.31/10.48 P_a1-{F}(V0), P_a1-{F}(V1), V0 == V1 | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #19: unsound, references = 3, size of lhs = 3:
% 10.31/10.48 P_a2-{F}(V0), P_a2-{F}(V1), V0 == V1 | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #20: unsound, references = 3, size of lhs = 3:
% 10.31/10.48 P_a3-{F}(V0), P_a3-{F}(V1), V0 == V1 | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #21: unsound, references = 3, size of lhs = 3:
% 10.31/10.48 P_b3-{F}(V0), P_b3-{F}(V1), V0 == V1 | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #22: unsound, references = 3, size of lhs = 3:
% 10.31/10.48 P_c3-{F}(V0), P_c3-{F}(V1), V0 == V1 | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 number of simplifiers = 9
% 10.31/10.48
% 10.31/10.48 Learnt:
% 10.31/10.48 #24: exists( #5, #3 ), references = 58, size of lhs = 2:
% 10.31/10.48 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_double_divide-{T}(V1,V2,V0)
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #26: exists( #5, #2 ), references = 24, size of lhs = 2:
% 10.31/10.48 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_double_divide-{T}(V1,V0,V2)
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #28: exists( #5, #1 ), references = 64, size of lhs = 3:
% 10.31/10.48 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_double_divide-{F}(V2,V1,V4) | P_double_divide-{T}(V4,V0,V3)
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #31: exists( #8, #2 ), references = 35, size of lhs = 2:
% 10.31/10.48 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2) | P_inverse-{T}(V1,V2)
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #33: exists( #7, #1 ), references = 4, size of lhs = 3:
% 10.31/10.48 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V4,V1) | P_multiply-{T}(V4,V3,V2)
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #44: exists( #5, #0 ), references = 19, size of lhs = 9:
% 10.31/10.48 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V3,V0,V5), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V6,V7,V8), P_double_divide-{F}(V9,V8,V10), P_double_divide-{F}(V10,V5,V11), P_double_divide-{F}(V4,V11,V12) | P_double_divide-{T}(V12,V1,V9)
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #51: mergings( V2 == V3, V4 == V5; #48 ), references = 1, size of lhs = 7:
% 10.31/10.48 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V1), P_double_divide-{F}(V3,V1,V4), P_double_divide-{F}(V3,V0,V5), P_double_divide-{F}(V4,V6,V5), P_double_divide-{F}(V6,V0,V5) | P_inverse-{T}(V5,V2)
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #58: exists( #7, #56 ), references = 26, size of lhs = 2:
% 10.31/10.48 P_identity-{F}(V0), P_double_divide-{F}(V1,V2,V0) | P_multiply-{T}(V2,V1,V0)
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #80: mergings( V3 == V4, V4 == V5; #77 ), references = 5, size of lhs = 17:
% 10.31/10.48 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V2,V0), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V4,V5,V6), P_double_divide-{F}(V7,V6,V3), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V10,V9,V11), P_double_divide-{F}(V10,V0,V12), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V1,V13,V14), P_double_divide-{F}(V11,V7,V15), P_double_divide-{F}(V15,V8,V16), V16 == V14, P_double_divide-{F}(V17,V18,V14), P_double_divide-{F}(V19,V0,V20), P_double_divide-{F}(V19,V20,V0) | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #89: mergings( V6 == V7, V3 == V4; #86 ), references = 1, size of lhs = 12:
% 10.31/10.48 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V2,V0,V0), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V5,V0,V4), P_double_divide-{F}(V3,V5,V6), P_double_divide-{F}(V7,V0,V4), P_double_divide-{F}(V3,V8,V6), P_double_divide-{F}(V9,V2,V8), P_double_divide-{F}(V10,V0,V9), P_double_divide-{F}(V11,V12,V4) | P_multiply-{T}(V12,V11,V10)
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #99: exists( #7, #97 ), references = 5, size of lhs = 9:
% 10.31/10.48 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V2,V0,V1), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V5,V6,V4), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V2,V8,V9), P_double_divide-{F}(V9,V3,V10), P_double_divide-{F}(V10,V7,V11) | P_multiply-{T}(V6,V5,V11)
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #117: mergings( V13 == V17, V3 == V4, V4 == V5, V6 == V8; #112 ), references = 1, size of lhs = 16:
% 10.31/10.48 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V2,V0,V0), P_double_divide-{F}(V3,V0,V0), P_double_divide-{F}(V4,V0,V3), P_double_divide-{F}(V4,V1,V5), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V5,V6,V8), P_double_divide-{F}(V9,V0,V7), P_double_divide-{F}(V10,V0,V7), P_double_divide-{F}(V9,V10,V11), P_double_divide-{F}(V12,V0,V7), P_double_divide-{F}(V11,V12,V13), P_double_divide-{F}(V14,V15,V8), P_double_divide-{F}(V16,V17,V7) | P_multiply-{T}(V15,V14,V13)
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #138: mergings( V16 == V20, V17 == V25, V3 == V4, V4 == V5, V6 == V8, V5 == V9, V25 == V20, V9 == V10, V8 == V10, V7 == V10, V10 == V11, V12 == V0, V0 == V14; #124 ), references = 1, size of lhs = 11:
% 10.31/10.48 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V2,V0,V1), P_double_divide-{F}(V3,V0,V1), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V6,V0,V5), P_double_divide-{F}(V7,V0,V5), P_double_divide-{F}(V6,V7,V1), P_double_divide-{F}(V8,V9,V5), P_double_divide-{F}(V10,V11,V5) | P_double_divide-{T}(V1,V4,V5)
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #154: mergings( V3 == V4; #152 ), references = 2, size of lhs = 6:
% 10.31/10.48 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V4,V0,V3), V2 == V4, P_double_divide-{F}(V5,V6,V3) | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #176: exists( #5, #80 ), references = 7, size of lhs = 14:
% 10.31/10.48 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V2,V0), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V4,V5,V6), P_double_divide-{F}(V7,V6,V3), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V10,V9,V11), P_double_divide-{F}(V10,V0,V12), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V11,V7,V14), P_double_divide-{F}(V14,V8,V15), P_double_divide-{F}(V16,V0,V17), P_double_divide-{F}(V16,V17,V0) | P_double_divide-{T}(V1,V13,V15)
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #196: mergings( V3 == V4, V16 == V20; #193 ), references = 33, size of lhs = 17:
% 10.31/10.48 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V0), P_double_divide-{F}(V2,V1,V3), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V5,V4,V0), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V6,V7,V8), P_double_divide-{F}(V9,V8,V5), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V12,V11,V13), P_double_divide-{F}(V13,V9,V14), P_double_divide-{F}(V14,V10,V15), P_double_divide-{F}(V12,V0,V15), P_double_divide-{F}(V16,V17,V15), P_double_divide-{F}(V18,V0,V19), P_double_divide-{F}(V18,V19,V0) | P_multiply-{T}(V17,V16,V12)
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #230: mergings( V11 == V15, V3 == V4, V5 == V6; #226 ), references = 1, size of lhs = 10:
% 10.31/10.48 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V0), P_double_divide-{F}(V3,V0,V2), P_double_divide-{F}(V3,V1,V4), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V4,V5,V7), V6 == V7, P_double_divide-{F}(V8,V9,V7), P_double_divide-{F}(V10,V11,V6) | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #235: mergings( V9 == V12, V3 == V4, V5 == V6; #231 ), references = 35, size of lhs = 7:
% 10.31/10.48 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V0), P_double_divide-{F}(V3,V0,V2), P_double_divide-{F}(V3,V1,V4), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V7,V8,V6) | P_double_divide-{T}(V4,V5,V6)
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #257: mergings( V5 == V6, V6 == V15, V3 == V4, V4 == V10, V10 == V11, V7 == V16, V16 == V22, V17 == V23; #248 ), references = 1, size of lhs = 41:
% 10.31/10.48 P_a3-{F}(V0), P_identity-{F}(V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_b3-{F}(V4), P_multiply-{F}(V0,V4,V4), P_c3-{F}(V5), P_double_divide-{F}(V0,V0,V6), P_double_divide-{F}(V5,V4,V7), P_double_divide-{F}(V8,V0,V0), P_double_divide-{F}(V8,V6,V9), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V11,V0,V8), P_double_divide-{F}(V11,V6,V12), P_double_divide-{F}(V0,V13,V12), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V14,V10,V0), P_double_divide-{F}(V12,V0,V15), P_double_divide-{F}(V16,V0,V17), P_double_divide-{F}(V18,V17,V0), P_double_divide-{F}(V16,V19,V7), P_double_divide-{F}(V20,V0,V19), P_double_divide-{F}(V21,V15,V20), P_double_divide-{F}(V22,V0,V23), P_double_divide-{F}(V22,V23,V24), P_double_divide-{F}(V25,V24,V18), P_double_divide-{F}(V11,V26,V25), P_double_divide-{F}(V27,V0,V26), P_double_divide-{F}(V28,V0,V27), P_double_divide-{F}(V29,V0,V28), P_double_divide-{F}(V29,V6,V30), P_double_divide-{F}(V30,V31,V7), P_double_divide-{F}(V31,V0,V32), P_double_divide-{F}(V32,V33,V0), P_double_divide-{F}(V34,V0,V33), P_double_divide-{F}(V34,V35,V21), P_double_divide-{F}(V36,V0,V37), P_double_divide-{F}(V36,V37,V35) | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #267: mergings( V5 == V6, V6 == V15, V3 == V4, V4 == V10, V10 == V11, V7 == V16, V16 == V22, V17 == V23; #258 ), references = 2, size of lhs = 38:
% 10.31/10.48 P_a3-{F}(V0), P_identity-{F}(V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_b3-{F}(V4), P_multiply-{F}(V0,V4,V4), P_c3-{F}(V5), P_double_divide-{F}(V0,V0,V6), P_double_divide-{F}(V5,V0,V7), P_double_divide-{F}(V8,V6,V5), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V4,V0,V12), P_double_divide-{F}(V13,V0,V0), P_double_divide-{F}(V13,V6,V14), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V16,V0,V13), P_double_divide-{F}(V16,V6,V17), P_double_divide-{F}(V0,V18,V17), P_double_divide-{F}(V18,V0,V19), P_double_divide-{F}(V19,V15,V0), P_double_divide-{F}(V17,V0,V20), P_double_divide-{F}(V16,V11,V21), P_double_divide-{F}(V22,V7,V0), P_double_divide-{F}(V23,V0,V4), P_double_divide-{F}(V24,V20,V23), P_double_divide-{F}(V21,V25,V22), P_double_divide-{F}(V12,V26,V0), P_double_divide-{F}(V27,V0,V26), P_double_divide-{F}(V27,V28,V24), P_double_divide-{F}(V29,V0,V30), P_double_divide-{F}(V29,V30,V25), P_double_divide-{F}(V31,V0,V32), P_double_divide-{F}(V31,V32,V28) | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #280: exists( #8, #278 ), references = 1, size of lhs = 6:
% 10.31/10.48 P_a3-{F}(V0), P_identity-{F}(V0), P_a1-{F}(V0), P_a2-{F}(V0), P_b3-{F}(V1), P_c3-{F}(V1) | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #316: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V7, V13 == V15, V7 == V16, V16 == V19, V19 == V17, V17 == V18, V18 == V22, V26 == V28, V5 == V15, V15 == V21, V14 == V20, V21 == V22, V20 == V22, V22 == V24, V23 == V24; #297 ), references = 3, size of lhs = 16:
% 10.31/10.48 P_a3-{F}(V0), P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_b3-{F}(V4), P_multiply-{F}(V0,V4,V4), P_c3-{F}(V5), P_double_divide-{F}(V4,V0,V6), P_double_divide-{F}(V7,V0,V4), P_double_divide-{F}(V8,V0,V7), P_double_divide-{F}(V6,V8,V0), P_double_divide-{F}(V9,V0,V8) | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #336: exists( #8, #334 ), references = 1, size of lhs = 6:
% 10.31/10.48 P_a3-{F}(V0), P_identity-{F}(V0), P_a1-{F}(V0), P_a2-{F}(V0), P_b3-{F}(V1), P_c3-{F}(V2) | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #338: exists( #13, #335 ), references = 1, size of lhs = 5:
% 10.31/10.48 P_a3-{F}(V0), P_identity-{F}(V0), P_a1-{F}(V0), P_a2-{F}(V0), P_b3-{F}(V1) | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #340: exists( #12, #337 ), references = 1, size of lhs = 4:
% 10.31/10.48 P_a3-{F}(V0), P_identity-{F}(V0), P_a1-{F}(V0), P_a2-{F}(V0) | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #355: mergings( V3 == V4; #353 ), references = 2, size of lhs = 16:
% 10.31/10.48 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V4,V3,V0), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V5,V6,V7), P_double_divide-{F}(V8,V7,V4), P_double_divide-{F}(V9,V1,V10), P_double_divide-{F}(V9,V0,V11), P_double_divide-{F}(V11,V0,V12), P_double_divide-{F}(V2,V12,V13), P_double_divide-{F}(V10,V8,V14), P_double_divide-{F}(V15,V16,V14), P_double_divide-{F}(V17,V18,V13), P_double_divide-{F}(V19,V0,V20), P_double_divide-{F}(V19,V20,V0) | P_multiply-{T}(V16,V15,V13)
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #363: mergings( V3 == V4, V4 == V5, V5 == V7; #359 ), references = 2, size of lhs = 32:
% 10.31/10.48 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_a1-{F}(V2), P_inverse-{F}(V2,V3), P_multiply-{F}(V3,V2,V0), P_a2-{F}(V4), P_multiply-{F}(V0,V4,V4), P_a3-{F}(V5), P_double_divide-{F}(V5,V0,V6), P_b3-{F}(V7), P_multiply-{F}(V5,V7,V8), P_c3-{F}(V9), P_double_divide-{F}(V9,V7,V10), P_multiply-{F}(V8,V9,V11), P_double_divide-{F}(V12,V0,V11), P_double_divide-{F}(V13,V6,V14), P_double_divide-{F}(V13,V0,V15), P_double_divide-{F}(V14,V0,V16), P_double_divide-{F}(V17,V16,V0), P_double_divide-{F}(V18,V0,V19), P_double_divide-{F}(V18,V19,V20), P_double_divide-{F}(V12,V20,V21), P_double_divide-{F}(V21,V15,V22), P_double_divide-{F}(V23,V0,V22), P_double_divide-{F}(V24,V0,V23), P_double_divide-{F}(V24,V1,V25), P_double_divide-{F}(V25,V26,V10), P_double_divide-{F}(V26,V27,V17), P_double_divide-{F}(V28,V0,V29), P_double_divide-{F}(V28,V29,V27), P_double_divide-{F}(V30,V0,V31), P_double_divide-{F}(V30,V31,V0) | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #368: mergings( V3 == V4, V4 == V5, V5 == V7; #364 ), references = 2, size of lhs = 30:
% 10.31/10.48 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_a1-{F}(V2), P_inverse-{F}(V2,V3), P_multiply-{F}(V3,V2,V0), P_a2-{F}(V4), P_multiply-{F}(V0,V4,V4), P_a3-{F}(V5), P_double_divide-{F}(V5,V0,V6), P_b3-{F}(V7), P_multiply-{F}(V5,V7,V8), P_c3-{F}(V9), P_multiply-{F}(V8,V9,V10), P_double_divide-{F}(V11,V0,V10), P_double_divide-{F}(V12,V1,V9), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V15,V6,V16), P_double_divide-{F}(V15,V0,V17), P_double_divide-{F}(V16,V0,V18), P_double_divide-{F}(V19,V18,V0), P_double_divide-{F}(V20,V17,V14), P_double_divide-{F}(V11,V21,V20), P_double_divide-{F}(V7,V22,V19), P_double_divide-{F}(V23,V0,V24), P_double_divide-{F}(V23,V24,V21), P_double_divide-{F}(V25,V0,V26), P_double_divide-{F}(V25,V26,V22), P_double_divide-{F}(V27,V0,V28), P_double_divide-{F}(V27,V28,V0) | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #402: mergings( V4 == V5, V5 == V24, V3 == V9, V10 == V24, V6 == V25; #395 ), references = 1, size of lhs = 37:
% 10.31/10.48 P_identity-{F}(V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_double_divide-{F}(V4,V0,V5), P_b3-{F}(V6), P_multiply-{F}(V4,V6,V7), P_c3-{F}(V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V6,V0,V10), P_double_divide-{F}(V0,V0,V11), P_double_divide-{F}(V12,V11,V8), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V15,V0,V0), P_double_divide-{F}(V15,V11,V16), P_double_divide-{F}(V16,V0,V17), P_double_divide-{F}(V18,V0,V15), P_double_divide-{F}(V18,V11,V19), P_double_divide-{F}(V0,V20,V19), P_double_divide-{F}(V20,V0,V21), P_double_divide-{F}(V21,V17,V0), P_double_divide-{F}(V22,V9,V0), P_double_divide-{F}(V23,V0,V22), P_double_divide-{F}(V24,V0,V7), P_double_divide-{F}(V25,V0,V24), P_double_divide-{F}(V25,V11,V26), P_double_divide-{F}(V26,V23,V27), P_double_divide-{F}(V10,V28,V0), P_double_divide-{F}(V29,V0,V28), P_double_divide-{F}(V30,V5,V29), P_double_divide-{F}(V30,V0,V31), P_double_divide-{F}(V27,V31,V14), P_double_divide-{F}(V32,V33,V27) | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #408: mergings( V4 == V5, V5 == V21, V3 == V9, V10 == V21, V6 == V22; #396 ), references = 1, size of lhs = 39:
% 10.31/10.48 P_identity-{F}(V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_double_divide-{F}(V4,V0,V5), P_b3-{F}(V6), P_multiply-{F}(V4,V6,V7), P_c3-{F}(V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V8,V6,V10), P_double_divide-{F}(V0,V0,V11), P_double_divide-{F}(V12,V0,V0), P_double_divide-{F}(V12,V11,V13), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V15,V0,V12), P_double_divide-{F}(V15,V11,V16), P_double_divide-{F}(V0,V17,V16), P_double_divide-{F}(V17,V0,V18), P_double_divide-{F}(V18,V14,V0), P_double_divide-{F}(V19,V9,V0), P_double_divide-{F}(V20,V0,V19), P_double_divide-{F}(V21,V0,V7), P_double_divide-{F}(V22,V0,V21), P_double_divide-{F}(V22,V11,V23), P_double_divide-{F}(V23,V20,V24), P_double_divide-{F}(V25,V26,V24), P_double_divide-{F}(V27,V5,V28), P_double_divide-{F}(V27,V0,V29), P_double_divide-{F}(V28,V0,V30), P_double_divide-{F}(V24,V29,V31), P_double_divide-{F}(V32,V30,V0), P_double_divide-{F}(V33,V0,V32), P_double_divide-{F}(V34,V0,V31), P_double_divide-{F}(V35,V0,V34), P_double_divide-{F}(V35,V11,V36), P_double_divide-{F}(V36,V33,V10) | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #419: mergings( V5 == V6, V6 == V25, V3 == V4, V4 == V10, V11 == V25, V7 == V26; #411 ), references = 2, size of lhs = 41:
% 10.31/10.48 P_identity-{F}(V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_double_divide-{F}(V4,V0,V5), P_b3-{F}(V6), P_multiply-{F}(V4,V6,V7), P_c3-{F}(V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V6,V0,V10), P_double_divide-{F}(V0,V0,V11), P_double_divide-{F}(V12,V11,V8), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V15,V0,V0), P_double_divide-{F}(V15,V11,V16), P_double_divide-{F}(V16,V0,V17), P_double_divide-{F}(V18,V0,V15), P_double_divide-{F}(V18,V11,V19), P_double_divide-{F}(V0,V20,V19), P_double_divide-{F}(V20,V0,V21), P_double_divide-{F}(V21,V17,V0), P_double_divide-{F}(V22,V9,V0), P_double_divide-{F}(V23,V0,V22), P_double_divide-{F}(V24,V0,V7), P_double_divide-{F}(V25,V0,V24), P_double_divide-{F}(V25,V11,V26), P_double_divide-{F}(V10,V27,V0), P_double_divide-{F}(V28,V0,V27), P_double_divide-{F}(V29,V5,V28), P_double_divide-{F}(V29,V0,V30), P_double_divide-{F}(V30,V0,V31), P_double_divide-{F}(V32,V31,V26), P_double_divide-{F}(V32,V0,V33), P_double_divide-{F}(V34,V33,V23), P_double_divide-{F}(V14,V35,V34), P_double_divide-{F}(V36,V0,V37), P_double_divide-{F}(V36,V37,V35) | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #426: mergings( V5 == V6, V6 == V22, V3 == V4, V4 == V10, V11 == V22, V7 == V23; #412 ), references = 3, size of lhs = 43:
% 10.31/10.48 P_identity-{F}(V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_double_divide-{F}(V4,V0,V5), P_b3-{F}(V6), P_multiply-{F}(V4,V6,V7), P_c3-{F}(V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V8,V6,V10), P_double_divide-{F}(V0,V0,V11), P_double_divide-{F}(V12,V0,V0), P_double_divide-{F}(V12,V11,V13), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V15,V0,V12), P_double_divide-{F}(V15,V11,V16), P_double_divide-{F}(V0,V17,V16), P_double_divide-{F}(V17,V0,V18), P_double_divide-{F}(V18,V14,V0), P_double_divide-{F}(V19,V9,V0), P_double_divide-{F}(V20,V0,V19), P_double_divide-{F}(V21,V0,V7), P_double_divide-{F}(V22,V0,V21), P_double_divide-{F}(V22,V11,V23), P_double_divide-{F}(V24,V0,V25), P_double_divide-{F}(V24,V26,V23), P_double_divide-{F}(V27,V0,V26), P_double_divide-{F}(V28,V0,V27), P_double_divide-{F}(V28,V5,V29), P_double_divide-{F}(V29,V0,V30), P_double_divide-{F}(V31,V25,V20), P_double_divide-{F}(V32,V30,V0), P_double_divide-{F}(V33,V0,V32), P_double_divide-{F}(V34,V33,V10), P_double_divide-{F}(V35,V11,V34), P_double_divide-{F}(V35,V0,V36), P_double_divide-{F}(V36,V0,V37), P_double_divide-{F}(V37,V38,V31), P_double_divide-{F}(V39,V0,V40), P_double_divide-{F}(V39,V40,V38) | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #478: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V8, V16 == V18, V8 == V22, V22 == V23, V21 == V25, V41 == V43, V6 == V18, V18 == V20, V17 == V19, V20 == V25, V19 == V24, V25 == V23, V23 == V24, V24 == V27, V26 == V27; #459 ), references = 3, size of lhs = 31:
% 10.31/10.48 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_double_divide-{F}(V4,V0,V5), P_b3-{F}(V6), P_c3-{F}(V7), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V7,V6,V9), P_double_divide-{F}(V6,V4,V10), P_double_divide-{F}(V11,V8,V0), P_double_divide-{F}(V12,V0,V11), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V13,V15,V10), P_double_divide-{F}(V16,V0,V15), P_double_divide-{F}(V17,V0,V16), P_double_divide-{F}(V17,V5,V18), P_double_divide-{F}(V18,V0,V19), P_double_divide-{F}(V20,V14,V12), P_double_divide-{F}(V21,V19,V0), P_double_divide-{F}(V22,V0,V21), P_double_divide-{F}(V23,V22,V9), P_double_divide-{F}(V24,V0,V23), P_double_divide-{F}(V23,V0,V25), P_double_divide-{F}(V25,V26,V20), P_double_divide-{F}(V27,V0,V28), P_double_divide-{F}(V27,V28,V26) | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #529: mergings( V5 == V6, V6 == V7, V7 == V11, V11 == V9, V10 == V9, V9 == V12, V12 == V14, V14 == V15, V30 == V32, V15 == V35, V36 == V38, V35 == V42, V42 == V43, V41 == V45, V75 == V77, V82 == V83, V3 == V4, V4 == V43, V8 == V13, V13 == V29, V19 == V27, V29 == V34, V34 == V32, V31 == V33, V32 == V38, V33 == V37, V38 == V40, V37 == V39, V40 == V45, V39 == V44, V45 == V43, V43 == V44, V44 == V47, V46 == V47; #494 ), references = 1, size of lhs = 57:
% 10.31/10.48 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_b3-{F}(V5), P_c3-{F}(V6), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V6,V5,V8), P_double_divide-{F}(V5,V4,V9), P_double_divide-{F}(V4,V0,V10), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V12,V4,V9), P_double_divide-{F}(V13,V7,V0), P_double_divide-{F}(V14,V0,V13), P_double_divide-{F}(V15,V0,V16), P_double_divide-{F}(V17,V16,V0), P_double_divide-{F}(V18,V0,V19), P_double_divide-{F}(V18,V19,V20), P_double_divide-{F}(V21,V20,V17), P_double_divide-{F}(V21,V0,V22), P_double_divide-{F}(V23,V0,V24), P_double_divide-{F}(V24,V0,V25), P_double_divide-{F}(V25,V0,V26), P_double_divide-{F}(V15,V26,V27), P_double_divide-{F}(V28,V11,V27), P_double_divide-{F}(V28,V0,V29), P_double_divide-{F}(V30,V29,V0), P_double_divide-{F}(V31,V32,V27), P_double_divide-{F}(V33,V0,V34), P_double_divide-{F}(V33,V34,V35), P_double_divide-{F}(V12,V35,V36), P_double_divide-{F}(V36,V22,V37), P_double_divide-{F}(V23,V37,V38), P_double_divide-{F}(V38,V0,V39), P_double_divide-{F}(V40,V39,V0), P_double_divide-{F}(V41,V0,V40), P_double_divide-{F}(V42,V41,V8), P_double_divide-{F}(V43,V0,V42), P_double_divide-{F}(V42,V0,V44), P_double_divide-{F}(V44,V0,V45), P_double_divide-{F}(V38,V46,V30), P_double_divide-{F}(V47,V0,V48), P_double_divide-{F}(V49,V48,V0), P_double_divide-{F}(V50,V0,V49), P_double_divide-{F}(V27,V50,V51), P_double_divide-{F}(V51,V0,V52), P_double_divide-{F}(V52,V53,V45), P_double_divide-{F}(V54,V48,V53), P_double_divide-{F}(V14,V55,V54), P_double_divide-{F}(V56,V0,V57), P_double_divide-{F}(V56,V57,V46), P_double_divide-{F}(V58,V0,V59), P_double_divide-{F}(V58,V59,V55) | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #656: mergings( V4 == V5, V5 == V6, V6 == V10, V10 == V8, V9 == V8, V16 == V20, V17 == V21, V22 == V24, V29 == V31, V8 == V32, V32 == V34, V34 == V35, V33 == V37, V3 == V35, V7 == V24, V24 == V26, V23 == V25, V26 == V31, V25 == V30, V31 == V37, V30 == V36, V37 == V35, V35 == V36, V36 == V39, V38 == V39; #628 ), references = 2, size of lhs = 30:
% 10.31/10.48 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V5,V0,V6), P_b3-{F}(V7), P_c3-{F}(V8), P_double_divide-{F}(V7,V0,V9), P_double_divide-{F}(V10,V0,V8), P_double_divide-{F}(V8,V0,V11), P_double_divide-{F}(V7,V4,V12), P_double_divide-{F}(V13,V6,V12), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V9,V15,V0), P_double_divide-{F}(V16,V0,V15), P_double_divide-{F}(V17,V11,V0), P_double_divide-{F}(V18,V0,V17), P_double_divide-{F}(V19,V0,V18), P_double_divide-{F}(V11,V20,V19), P_double_divide-{F}(V21,V14,V0), P_double_divide-{F}(V16,V22,V21), P_double_divide-{F}(V23,V0,V24), P_double_divide-{F}(V23,V24,V22), P_double_divide-{F}(V25,V0,V26), P_double_divide-{F}(V25,V26,V20) | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #673: mergings( V4 == V5, V5 == V6, V6 == V10, V10 == V8, V9 == V8, V24 == V26, V29 == V31, V8 == V32, V3 == V32, V7 == V32, V32 == V26, V26 == V25, V25 == V28, V27 == V28, V28 == V31, V30 == V31; #629 ), references = 1, size of lhs = 34:
% 10.31/10.48 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V5,V0,V6), P_b3-{F}(V7), P_c3-{F}(V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V8,V7,V10), P_double_divide-{F}(V7,V4,V11), P_double_divide-{F}(V12,V6,V11), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V14,V9,V0), P_double_divide-{F}(V15,V0,V14), P_double_divide-{F}(V16,V0,V15), P_double_divide-{F}(V17,V13,V0), P_double_divide-{F}(V18,V19,V11), P_double_divide-{F}(V20,V0,V21), P_double_divide-{F}(V20,V21,V22), P_double_divide-{F}(V23,V22,V17), P_double_divide-{F}(V23,V0,V24), P_double_divide-{F}(V25,V24,V0), P_double_divide-{F}(V26,V0,V25), P_double_divide-{F}(V27,V26,V10), P_double_divide-{F}(V28,V0,V27), P_double_divide-{F}(V27,V0,V29), P_double_divide-{F}(V29,V30,V16), P_double_divide-{F}(V31,V0,V32), P_double_divide-{F}(V31,V32,V30) | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #698: mergings( V4 == V5, V5 == V6, V6 == V10, V10 == V8, V9 == V8, V19 == V21, V24 == V26, V8 == V27, V27 == V29, V29 == V30, V28 == V32, V49 == V51, V3 == V30, V7 == V21, V21 == V23, V20 == V22, V23 == V26, V22 == V25, V26 == V32, V25 == V31, V32 == V30, V30 == V31, V31 == V34, V33 == V34; #630 ), references = 1, size of lhs = 33:
% 10.31/10.48 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V5,V0,V6), P_b3-{F}(V7), P_c3-{F}(V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V8,V7,V10), P_double_divide-{F}(V7,V4,V11), P_double_divide-{F}(V12,V6,V11), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V14,V9,V0), P_double_divide-{F}(V15,V0,V14), P_double_divide-{F}(V16,V0,V15), P_double_divide-{F}(V17,V13,V0), P_double_divide-{F}(V18,V0,V19), P_double_divide-{F}(V18,V19,V20), P_double_divide-{F}(V21,V20,V17), P_double_divide-{F}(V21,V0,V22), P_double_divide-{F}(V23,V22,V0), P_double_divide-{F}(V24,V0,V23), P_double_divide-{F}(V25,V24,V10), P_double_divide-{F}(V26,V0,V25), P_double_divide-{F}(V25,V0,V27), P_double_divide-{F}(V27,V28,V16), P_double_divide-{F}(V29,V0,V30), P_double_divide-{F}(V29,V30,V28) | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #728: mergings( V4 == V5, V5 == V6, V6 == V10, V10 == V8, V9 == V8, V15 == V19, V16 == V20, V22 == V24, V29 == V31, V8 == V32, V32 == V34, V34 == V35, V33 == V37, V3 == V35, V17 == V21, V7 == V24, V24 == V26, V23 == V25, V26 == V31, V25 == V30, V31 == V37, V30 == V36, V37 == V35, V35 == V36, V36 == V39, V38 == V39; #699 ), references = 3, size of lhs = 27:
% 10.31/10.48 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V5,V0,V4), P_b3-{F}(V6), P_c3-{F}(V7), P_double_divide-{F}(V8,V0,V7), P_double_divide-{F}(V7,V0,V9), P_double_divide-{F}(V6,V0,V10), P_double_divide-{F}(V10,V11,V0), P_double_divide-{F}(V12,V0,V11), P_double_divide-{F}(V13,V9,V0), P_double_divide-{F}(V14,V0,V13), P_double_divide-{F}(V15,V0,V14), P_double_divide-{F}(V9,V16,V15), P_double_divide-{F}(V17,V10,V0), P_double_divide-{F}(V12,V18,V17), P_double_divide-{F}(V19,V0,V20), P_double_divide-{F}(V19,V20,V18), P_double_divide-{F}(V21,V0,V22), P_double_divide-{F}(V21,V22,V16) | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #771: mergings( V2 == V3, V3 == V4, V4 == V8, V8 == V6, V7 == V6, V6 == V9, V9 == V13, V13 == V11, V12 == V11, V17 == V20, V18 == V21, V23 == V25, V28 == V30, V33 == V35, V11 == V36, V36 == V40, V40 == V41, V39 == V43, V5 == V10, V10 == V25, V25 == V27, V24 == V26, V27 == V30, V26 == V29, V30 == V32, V29 == V31, V32 == V35, V31 == V34, V35 == V43, V34 == V42, V43 == V41, V41 == V42, V42 == V45, V44 == V45; #736 ), references = 4, size of lhs = 16:
% 10.31/10.48 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_b3-{F}(V4), P_c3-{F}(V5), P_double_divide-{F}(V6,V0,V5), P_double_divide-{F}(V5,V0,V7), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V10,V7,V0) | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #788: exists( #8, #786 ), references = 1, size of lhs = 6:
% 10.31/10.48 P_identity-{F}(V0), P_a1-{F}(V0), P_a2-{F}(V0), P_a3-{F}(V1), P_b3-{F}(V1), P_c3-{F}(V2) | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #790: exists( #13, #787 ), references = 1, size of lhs = 5:
% 10.31/10.48 P_identity-{F}(V0), P_a1-{F}(V0), P_a2-{F}(V0), P_a3-{F}(V1), P_b3-{F}(V1) | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #810: mergings( V3 == V4, V2 == V8, V5 == V14; #806 ), references = 1, size of lhs = 19:
% 10.31/10.48 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_a1-{F}(V2), P_inverse-{F}(V2,V3), P_multiply-{F}(V3,V2,V0), P_a2-{F}(V4), P_multiply-{F}(V0,V4,V4), P_a3-{F}(V5), P_b3-{F}(V6), P_c3-{F}(V6), P_multiply-{F}(V6,V6,V6), P_double_divide-{F}(V7,V1,V6), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V8,V0,V0), P_double_divide-{F}(V8,V1,V9), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V0,V11,V6), P_double_divide-{F}(V11,V0,V12), P_double_divide-{F}(V12,V10,V0) | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #817: exists( #8, #815 ), references = 1, size of lhs = 6:
% 10.31/10.48 P_identity-{F}(V0), P_a1-{F}(V0), P_a2-{F}(V0), P_b3-{F}(V0), P_c3-{F}(V0), P_a3-{F}(V1) | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #858: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V7, V19 == V21, V24 == V26, V5 == V7, V7 == V21, V21 == V20, V20 == V23, V22 == V23; #844 ), references = 2, size of lhs = 20:
% 10.31/10.48 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_b3-{F}(V5), P_c3-{F}(V6), P_double_divide-{F}(V7,V0,V6), P_double_divide-{F}(V6,V0,V8), P_double_divide-{F}(V5,V0,V9), P_double_divide-{F}(V8,V0,V10), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V11,V0,V12), P_double_divide-{F}(V12,V8,V0), P_double_divide-{F}(V9,V13,V0), P_double_divide-{F}(V13,V9,V0), P_double_divide-{F}(V14,V0,V13) | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #874: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V7, V11 == V13, V7 == V15, V15 == V19, V24 == V26, V5 == V19, V19 == V13, V12 == V13, V13 == V20, V18 == V20, V20 == V26, V25 == V26; #845 ), references = 2, size of lhs = 16:
% 10.31/10.48 P_identity-{F}(V0), P_b3-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_c3-{F}(V5), P_double_divide-{F}(V6,V0,V5), P_double_divide-{F}(V5,V0,V7), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V10,V7,V0) | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #892: mergings( V2 == V3, V3 == V4, V4 == V19, V19 == V6, V7 == V6, V11 == V13, V6 == V18, V5 == V13, V13 == V18, V15 == V16, V12 == V18, V18 == V20, V17 == V20, V20 == V24, V24 == V25, V16 == V28, V14 == V26; #846 ), references = 1, size of lhs = 16:
% 10.31/10.48 P_identity-{F}(V0), P_b3-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_c3-{F}(V5), P_double_divide-{F}(V6,V0,V5), P_double_divide-{F}(V5,V0,V7), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V10,V7,V0) | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.48
% 10.31/10.48 #941: exists( #8, #935 ), references = 1, size of lhs = 6:
% 10.31/10.48 P_identity-{F}(V0), P_b3-{F}(V0), P_a1-{F}(V0), P_a2-{F}(V0), P_a3-{F}(V1), P_c3-{F}(V2) | FALSE
% 10.31/10.48 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #945: exists( #13, #938 ), references = 1, size of lhs = 5:
% 10.31/10.49 P_identity-{F}(V0), P_b3-{F}(V0), P_a1-{F}(V0), P_a2-{F}(V0), P_a3-{F}(V1) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #975: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V7, V18 == V20, V5 == V7, V7 == V20, V20 == V19, V19 == V22, V21 == V22; #963 ), references = 5, size of lhs = 16:
% 10.31/10.49 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_b3-{F}(V5), P_c3-{F}(V6), P_double_divide-{F}(V7,V0,V6), P_double_divide-{F}(V6,V0,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V11,V8,V0) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #986: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V7, V19 == V21, V5 == V7, V7 == V21, V21 == V20, V20 == V23, V22 == V23; #964 ), references = 1, size of lhs = 18:
% 10.31/10.49 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_multiply-{F}(V0,V3,V3), P_a3-{F}(V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V5,V0,V4), P_b3-{F}(V6), P_c3-{F}(V7), P_double_divide-{F}(V8,V0,V7), P_double_divide-{F}(V7,V0,V9), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V11,V0,V12), P_double_divide-{F}(V12,V9,V0) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #1002: exists( #8, #999 ), references = 1, size of lhs = 6:
% 10.31/10.49 P_identity-{F}(V0), P_a1-{F}(V0), P_a2-{F}(V0), P_c3-{F}(V0), P_a3-{F}(V1), P_b3-{F}(V2) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #1013: exists( #8, #1011 ), references = 1, size of lhs = 6:
% 10.31/10.49 P_identity-{F}(V0), P_a1-{F}(V0), P_a2-{F}(V0), P_a3-{F}(V1), P_b3-{F}(V2), P_c3-{F}(V3) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #1015: exists( #13, #1012 ), references = 1, size of lhs = 5:
% 10.31/10.49 P_identity-{F}(V0), P_a1-{F}(V0), P_a2-{F}(V0), P_a3-{F}(V1), P_b3-{F}(V2) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #1017: exists( #12, #1014 ), references = 1, size of lhs = 4:
% 10.31/10.49 P_identity-{F}(V0), P_a1-{F}(V0), P_a2-{F}(V0), P_a3-{F}(V1) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #1019: exists( #11, #1016 ), references = 1, size of lhs = 3:
% 10.31/10.49 P_identity-{F}(V0), P_a1-{F}(V0), P_a2-{F}(V0) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #1046: mergings( V3 == V4, V5 == V16; #1041 ), references = 1, size of lhs = 21:
% 10.31/10.49 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_a1-{F}(V2), P_inverse-{F}(V2,V3), P_multiply-{F}(V3,V2,V0), P_a2-{F}(V4), P_a3-{F}(V5), P_b3-{F}(V6), P_multiply-{F}(V5,V6,V7), P_c3-{F}(V8), P_multiply-{F}(V7,V8,V9), P_multiply-{F}(V6,V8,V10), P_multiply-{F}(V5,V10,V9), P_double_divide-{F}(V11,V0,V0), P_double_divide-{F}(V11,V1,V12), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V14,V0,V11), P_double_divide-{F}(V14,V1,V15), P_double_divide-{F}(V0,V16,V15), P_double_divide-{F}(V16,V0,V17), P_double_divide-{F}(V17,V13,V0) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #1057: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V7, V13 == V15, V5 == V7, V7 == V15, V15 == V14, V14 == V17, V16 == V17; #1042 ), references = 1, size of lhs = 15:
% 10.31/10.49 P_a3-{F}(V0), P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_b3-{F}(V4), P_multiply-{F}(V0,V4,V4), P_c3-{F}(V5), P_double_divide-{F}(V4,V0,V6), P_double_divide-{F}(V7,V0,V4), P_double_divide-{F}(V8,V0,V7), P_double_divide-{F}(V6,V8,V0), P_double_divide-{F}(V9,V0,V8) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #1068: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V7, V18 == V20, V5 == V7, V7 == V20, V20 == V19, V19 == V22, V21 == V22; #1043 ), references = 4, size of lhs = 15:
% 10.31/10.49 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V0), P_a2-{F}(V3), P_a3-{F}(V4), P_b3-{F}(V5), P_c3-{F}(V6), P_double_divide-{F}(V7,V0,V6), P_double_divide-{F}(V6,V0,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V11,V8,V0) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #1099: exists( #8, #1097 ), references = 1, size of lhs = 6:
% 10.31/10.49 P_identity-{F}(V0), P_a1-{F}(V0), P_a2-{F}(V1), P_a3-{F}(V2), P_b3-{F}(V3), P_c3-{F}(V4) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #1101: exists( #13, #1098 ), references = 1, size of lhs = 5:
% 10.31/10.49 P_identity-{F}(V0), P_a1-{F}(V0), P_a2-{F}(V1), P_a3-{F}(V2), P_b3-{F}(V3) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #1103: exists( #12, #1100 ), references = 1, size of lhs = 4:
% 10.31/10.49 P_identity-{F}(V0), P_a1-{F}(V0), P_a2-{F}(V1), P_a3-{F}(V2) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #1105: exists( #11, #1102 ), references = 1, size of lhs = 3:
% 10.31/10.49 P_identity-{F}(V0), P_a1-{F}(V0), P_a2-{F}(V1) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #1107: exists( #10, #1104 ), references = 1, size of lhs = 2:
% 10.31/10.49 P_identity-{F}(V0), P_a1-{F}(V0) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #1149: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V7, V11 == V13, V5 == V7, V7 == V13, V13 == V12, V12 == V15; #1137 ), references = 1, size of lhs = 13:
% 10.31/10.49 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_c3-{F}(V1), P_a2-{F}(V2), P_a3-{F}(V3), P_b3-{F}(V4), P_double_divide-{F}(V0,V5,V0), P_double_divide-{F}(V5,V6,V0), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V7,V8,V6), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V9,V10,V0) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #1159: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V7, V10 == V12, V5 == V7, V7 == V12, V12 == V11, V11 == V14; #1138 ), references = 1, size of lhs = 14:
% 10.31/10.49 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_c3-{F}(V1), P_a2-{F}(V2), P_multiply-{F}(V0,V2,V2), P_a3-{F}(V3), P_b3-{F}(V3), P_double_divide-{F}(V0,V4,V0), P_double_divide-{F}(V4,V5,V0), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V6,V7,V5), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V8,V9,V0) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #1169: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V7, V11 == V13, V5 == V7, V7 == V13, V13 == V12, V12 == V15; #1139 ), references = 1, size of lhs = 14:
% 10.31/10.49 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_c3-{F}(V1), P_a2-{F}(V2), P_multiply-{F}(V0,V2,V2), P_a3-{F}(V3), P_b3-{F}(V4), P_double_divide-{F}(V0,V5,V0), P_double_divide-{F}(V5,V6,V0), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V7,V8,V6), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V9,V10,V0) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #1185: exists( #8, #1181 ), references = 1, size of lhs = 6:
% 10.31/10.49 P_identity-{F}(V0), P_a1-{F}(V1), P_c3-{F}(V1), P_a2-{F}(V2), P_a3-{F}(V3), P_b3-{F}(V4) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #1206: exists( #8, #1200 ), references = 2, size of lhs = 13:
% 10.31/10.49 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_a2-{F}(V2), P_a3-{F}(V3), P_b3-{F}(V4), P_c3-{F}(V5), P_double_divide-{F}(V6,V0,V5), P_double_divide-{F}(V5,V0,V7), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V10,V7,V0) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #1207: exists( #8, #1201 ), references = 2, size of lhs = 14:
% 10.31/10.49 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_a2-{F}(V2), P_multiply-{F}(V0,V2,V2), P_a3-{F}(V3), P_b3-{F}(V3), P_c3-{F}(V4), P_double_divide-{F}(V5,V0,V4), P_double_divide-{F}(V4,V0,V6), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V9,V6,V0) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #1208: exists( #8, #1202 ), references = 2, size of lhs = 14:
% 10.31/10.49 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_a2-{F}(V2), P_multiply-{F}(V0,V2,V2), P_a3-{F}(V3), P_b3-{F}(V4), P_c3-{F}(V5), P_double_divide-{F}(V6,V0,V5), P_double_divide-{F}(V5,V0,V7), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V10,V7,V0) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #1223: exists( #8, #1219 ), references = 1, size of lhs = 6:
% 10.31/10.49 P_identity-{F}(V0), P_c3-{F}(V0), P_a1-{F}(V1), P_a2-{F}(V2), P_a3-{F}(V3), P_b3-{F}(V4) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #1267: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V8, V14 == V16, V6 == V8, V8 == V16, V16 == V15, V15 == V18, V17 == V18; #1254 ), references = 2, size of lhs = 8:
% 10.31/10.49 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_a2-{F}(V2), P_a3-{F}(V3), P_b3-{F}(V4), P_c3-{F}(V5), P_double_divide-{F}(V6,V7,V5) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #1278: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V8, V13 == V15, V6 == V8, V8 == V15, V15 == V14, V14 == V17, V16 == V17; #1255 ), references = 1, size of lhs = 9:
% 10.31/10.49 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_a2-{F}(V2), P_multiply-{F}(V0,V2,V2), P_a3-{F}(V3), P_b3-{F}(V3), P_c3-{F}(V4), P_double_divide-{F}(V5,V6,V4) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #1289: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V8, V14 == V16, V6 == V8, V8 == V16, V16 == V15, V15 == V18, V17 == V18; #1256 ), references = 1, size of lhs = 9:
% 10.31/10.49 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_a2-{F}(V2), P_multiply-{F}(V0,V2,V2), P_a3-{F}(V3), P_b3-{F}(V4), P_c3-{F}(V5), P_double_divide-{F}(V6,V7,V5) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #1325: mergings( V3 == V4, V2 == V8, V8 == V9, V4 == V9, V9 == V6, V7 == V6, V14 == V16, V5 == V6, V6 == V16, V16 == V15, V15 == V18, V17 == V18; #1310 ), references = 1, size of lhs = 7:
% 10.31/10.49 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a1-{F}(V1), P_a2-{F}(V2), P_a3-{F}(V3), P_b3-{F}(V4), P_c3-{F}(V5) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #1345: mergings( V2 == V3; #1341 ), references = 1, size of lhs = 6:
% 10.31/10.49 P_identity-{F}(V0), P_a1-{F}(V1), P_a2-{F}(V2), P_a3-{F}(V3), P_b3-{F}(V4), P_c3-{F}(V5) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #1350: mergings( V1 == V2; #1346 ), references = 1, size of lhs = 5:
% 10.31/10.49 P_identity-{F}(V0), P_a1-{F}(V1), P_a2-{F}(V2), P_a3-{F}(V3), P_b3-{F}(V4) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #1354: mergings( V1 == V2; #1351 ), references = 1, size of lhs = 4:
% 10.31/10.49 P_identity-{F}(V0), P_a1-{F}(V1), P_a2-{F}(V2), P_a3-{F}(V3) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #1358: mergings( V1 == V2; #1355 ), references = 1, size of lhs = 3:
% 10.31/10.49 P_identity-{F}(V0), P_a1-{F}(V1), P_a2-{F}(V2) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #1362: mergings( V1 == V2; #1359 ), references = 1, size of lhs = 2:
% 10.31/10.49 P_identity-{F}(V0), P_a1-{F}(V1) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #1366: mergings( V1 == V2; #1363 ), references = 1, size of lhs = 1:
% 10.31/10.49 P_identity-{F}(V0) | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 #1369: exists( #6, #1363 ), references = 1, size of lhs = 0:
% 10.31/10.49 FALSE | FALSE
% 10.31/10.49 (used 0 times, uses = {})
% 10.31/10.49
% 10.31/10.49 number of learnt formulas = 82
% 10.31/10.49
% 10.31/10.49
% 10.31/10.49 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.31/10.49
% 10.31/10.49 randbase = 1
%------------------------------------------------------------------------------