TSTP Solution File: GRP483-1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP483-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:03:58 EDT 2022
% Result : Unsatisfiable 4.18s 4.35s
% Output : Refutation 4.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP483-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 14:46:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 4.18/4.35 GeoParameters:
% 4.18/4.35
% 4.18/4.35 tptp_input = 1
% 4.18/4.35 tptp_output = 0
% 4.18/4.35 nonempty = 1
% 4.18/4.35 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.18/4.35 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 4.18/4.35
% 4.18/4.35
% 4.18/4.35 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.18/4.35 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.18/4.35
% 4.18/4.35 RuleSystem INPUT:
% 4.18/4.35
% 4.18/4.35 Initial Rules:
% 4.18/4.35 #0: input, references = 9, size of lhs = 11:
% 4.18/4.35 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
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #1: input, references = 6, size of lhs = 5:
% 4.18/4.35 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
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #2: input, references = 5, size of lhs = 4:
% 4.18/4.35 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V1,V0,V3), V2 == V3 | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #3: input, references = 4, size of lhs = 4:
% 4.18/4.35 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V1,V2,V3), V0 == V3 | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #4: input, references = 13, size of lhs = 8:
% 4.18/4.35 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
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #5: input, references = 18, size of lhs = 2:
% 4.18/4.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_double_divide-{T}(V0,V1,V2)
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #6: input, references = 4, size of lhs = 0:
% 4.18/4.35 FALSE | EXISTS V0: P_identity-{T}(V0)
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #7: input, references = 16, size of lhs = 2:
% 4.18/4.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #8: input, references = 20, size of lhs = 1:
% 4.18/4.35 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #9: input, references = 4, size of lhs = 0:
% 4.18/4.35 FALSE | EXISTS V0: P_a3-{T}(V0)
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #10: input, references = 5, size of lhs = 0:
% 4.18/4.35 FALSE | EXISTS V0: P_b3-{T}(V0)
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #11: input, references = 7, size of lhs = 0:
% 4.18/4.35 FALSE | EXISTS V0: P_c3-{T}(V0)
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 number of initial rules = 12
% 4.18/4.35
% 4.18/4.35 Simplifiers:
% 4.18/4.35 #12: unsound, references = 3, size of lhs = 3:
% 4.18/4.35 P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #13: unsound, references = 3, size of lhs = 3:
% 4.18/4.35 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #14: unsound, references = 3, size of lhs = 3:
% 4.18/4.35 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #15: unsound, references = 3, size of lhs = 3:
% 4.18/4.35 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #16: unsound, references = 3, size of lhs = 3:
% 4.18/4.35 P_a3-{F}(V0), P_a3-{F}(V1), V0 == V1 | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #17: unsound, references = 3, size of lhs = 3:
% 4.18/4.35 P_b3-{F}(V0), P_b3-{F}(V1), V0 == V1 | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #18: unsound, references = 3, size of lhs = 3:
% 4.18/4.35 P_c3-{F}(V0), P_c3-{F}(V1), V0 == V1 | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 number of simplifiers = 7
% 4.18/4.35
% 4.18/4.35 Learnt:
% 4.18/4.35 #20: exists( #5, #3 ), references = 38, size of lhs = 2:
% 4.18/4.35 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_double_divide-{T}(V1,V2,V0)
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #22: exists( #5, #2 ), references = 30, size of lhs = 2:
% 4.18/4.35 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_double_divide-{T}(V1,V0,V2)
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #27: exists( #8, #25 ), references = 29, size of lhs = 3:
% 4.18/4.35 P_identity-{F}(V0), P_double_divide-{F}(V1,V2,V3), P_multiply-{F}(V2,V1,V4) | P_inverse-{T}(V3,V4)
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #38: exists( #7, #1 ), references = 19, size of lhs = 3:
% 4.18/4.35 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V4,V1) | P_multiply-{T}(V4,V3,V2)
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #41: exists( #5, #1 ), references = 36, size of lhs = 3:
% 4.18/4.35 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_double_divide-{F}(V2,V1,V4) | P_double_divide-{T}(V4,V0,V3)
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #49: exists( #5, #0 ), references = 39, size of lhs = 9:
% 4.18/4.35 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)
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #56: mergings( V2 == V3, V4 == V5; #53 ), references = 1, size of lhs = 7:
% 4.18/4.35 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)
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #64: mergings( V3 == V4; #62 ), references = 9, size of lhs = 2:
% 4.18/4.35 P_identity-{F}(V0), P_double_divide-{F}(V1,V2,V0) | P_multiply-{T}(V2,V1,V0)
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #72: mergings( V2 == V3, V3 == V4; #69 ), references = 1, size of lhs = 4:
% 4.18/4.35 P_a3-{F}(V0), P_b3-{F}(V0), P_c3-{F}(V0), P_identity-{F}(V0) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #89: mergings( V3 == V4, V4 == V5; #86 ), references = 3, size of lhs = 17:
% 4.18/4.35 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}(V7,V12,V13), P_double_divide-{F}(V11,V13,V14), P_double_divide-{F}(V14,V8,V15), P_double_divide-{F}(V16,V0,V17), P_double_divide-{F}(V16,V17,V18), P_double_divide-{F}(V18,V0,V19), P_double_divide-{F}(V1,V19,V20), P_double_divide-{F}(V21,V22,V20) | P_multiply-{T}(V22,V21,V15)
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #100: mergings( V3 == V4, V4 == V5, V5 == V8, V8 == V6; #95 ), references = 1, size of lhs = 14:
% 4.18/4.35 P_a3-{F}(V0), P_b3-{F}(V0), P_multiply-{F}(V0,V0,V0), P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_c3-{F}(V1), P_double_divide-{F}(V2,V0,V1), P_double_divide-{F}(V2,V3,V1), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V5,V0,V1), P_double_divide-{F}(V6,V4,V0), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V5,V7,V1), P_double_divide-{F}(V8,V9,V1) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #122: mergings( V2 == V3; #120 ), references = 2, size of lhs = 5:
% 4.18/4.35 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 | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #153: mergings( V6 == V7, V3 == V4, V4 == V5, V5 == V7, V8 == V10, V10 == V11; #145 ), references = 26, size of lhs = 9:
% 4.18/4.35 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V1,V3,V2), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V5,V4,V0), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V1,V6,V2), P_double_divide-{F}(V7,V8,V2) | P_multiply-{T}(V8,V7,V1)
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #160: mergings( V4 == V8, V3 == V8, V8 == V5, V5 == V6, V7 == V6, V9 == V11; #146 ), references = 1, size of lhs = 10:
% 4.18/4.35 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V1,V3,V2), P_double_divide-{F}(V4,V0,V3), P_double_divide-{F}(V4,V5,V0), P_double_divide-{F}(V6,V0,V5), P_double_divide-{F}(V1,V6,V7), P_double_divide-{F}(V8,V0,V7), P_double_divide-{F}(V9,V10,V2) | P_multiply-{T}(V10,V9,V8)
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #173: mergings( V2 == V4, V4 == V3, V3 == V5; #169 ), references = 1, size of lhs = 6:
% 4.18/4.35 P_a3-{F}(V0), P_b3-{F}(V0), P_multiply-{F}(V0,V0,V0), P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_c3-{F}(V1) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #180: mergings( V2 == V3; #178 ), references = 1, size of lhs = 4:
% 4.18/4.35 P_a3-{F}(V0), P_b3-{F}(V0), P_identity-{F}(V0), P_c3-{F}(V1) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #183: mergings( V1 == V2; #181 ), references = 1, size of lhs = 3:
% 4.18/4.35 P_a3-{F}(V0), P_b3-{F}(V0), P_identity-{F}(V0) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #204: mergings( V3 == V6, V2 == V6, V6 == V8, V8 == V4, V4 == V5, V7 == V5; #197 ), references = 1, size of lhs = 7:
% 4.18/4.35 P_a3-{F}(V0), P_identity-{F}(V0), P_c3-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_b3-{F}(V1), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V2,V3,V0) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #211: mergings( V2 == V3; #209 ), references = 1, size of lhs = 4:
% 4.18/4.35 P_a3-{F}(V0), P_c3-{F}(V0), P_identity-{F}(V0), P_b3-{F}(V1) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #246: mergings( V4 == V10, V5 == V12, V3 == V10, V10 == V12, V12 == V6, V11 == V6, V6 == V13; #238 ), references = 1, size of lhs = 8:
% 4.18/4.35 P_a3-{F}(V0), P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_b3-{F}(V1), P_multiply-{F}(V0,V1,V1), P_c3-{F}(V2), P_double_divide-{F}(V2,V1,V3), P_double_divide-{F}(V4,V5,V3) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #255: mergings( V4 == V10, V5 == V12, V3 == V10, V10 == V12, V12 == V6, V11 == V6, V6 == V13; #247 ), references = 1, size of lhs = 8:
% 4.18/4.35 P_a3-{F}(V0), P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_b3-{F}(V1), P_multiply-{F}(V0,V1,V1), P_c3-{F}(V2), P_double_divide-{F}(V2,V1,V3), P_double_divide-{F}(V4,V5,V3) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #264: mergings( V4 == V7, V5 == V9, V3 == V7, V7 == V9, V9 == V6, V8 == V6, V6 == V10; #256 ), references = 2, size of lhs = 6:
% 4.18/4.35 P_a3-{F}(V0), P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_b3-{F}(V1), P_multiply-{F}(V0,V1,V1), P_c3-{F}(V2) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #272: mergings( V2 == V3, V3 == V4; #269 ), references = 1, size of lhs = 5:
% 4.18/4.35 P_a3-{F}(V0), P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_b3-{F}(V1), P_c3-{F}(V2) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #277: exists( #8, #275 ), references = 1, size of lhs = 4:
% 4.18/4.35 P_a3-{F}(V0), P_identity-{F}(V0), P_b3-{F}(V1), P_c3-{F}(V2) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #279: exists( #11, #276 ), references = 1, size of lhs = 3:
% 4.18/4.35 P_a3-{F}(V0), P_identity-{F}(V0), P_b3-{F}(V1) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #281: exists( #10, #278 ), references = 1, size of lhs = 2:
% 4.18/4.35 P_a3-{F}(V0), P_identity-{F}(V0) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #307: mergings( V3 == V4; #305 ), references = 1, size of lhs = 8:
% 4.18/4.35 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), P_double_divide-{F}(V3,V1,V4), P_double_divide-{F}(V5,V6,V4) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #310: mergings( V3 == V4; #308 ), references = 1, size of lhs = 8:
% 4.18/4.35 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), P_double_divide-{F}(V3,V1,V4), P_double_divide-{F}(V5,V6,V4) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #313: mergings( V3 == V4; #311 ), references = 2, size of lhs = 6:
% 4.18/4.35 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
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #330: mergings( V2 == V5, V5 == V3, V3 == V7, V7 == V4, V6 == V4; #324 ), references = 1, size of lhs = 6:
% 4.18/4.35 P_identity-{F}(V0), P_b3-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_c3-{F}(V2), P_multiply-{F}(V0,V2,V2) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #338: mergings( V2 == V3; #336 ), references = 1, size of lhs = 4:
% 4.18/4.35 P_b3-{F}(V0), P_identity-{F}(V0), P_a3-{F}(V1), P_c3-{F}(V2) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #341: mergings( V1 == V2; #339 ), references = 1, size of lhs = 3:
% 4.18/4.35 P_b3-{F}(V0), P_identity-{F}(V0), P_a3-{F}(V1) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #378: mergings( V5 == V19, V3 == V4, V4 == V19, V19 == V6, V6 == V7, V17 == V7, V18 == V7, V7 == V8, V8 == V9, V9 == V20; #367 ), references = 2, size of lhs = 21:
% 4.18/4.35 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_double_divide-{F}(V2,V1,V3), P_c3-{F}(V4), P_multiply-{F}(V2,V4,V5), P_multiply-{F}(V1,V5,V6), P_double_divide-{F}(V7,V0,V6), P_double_divide-{F}(V8,V9,V3), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V12,V11,V0), P_double_divide-{F}(V4,V13,V12), P_double_divide-{F}(V10,V14,V3), P_double_divide-{F}(V15,V0,V14), P_double_divide-{F}(V16,V0,V15), P_double_divide-{F}(V7,V17,V16), P_double_divide-{F}(V18,V0,V19), P_double_divide-{F}(V18,V19,V13), P_double_divide-{F}(V20,V0,V21), P_double_divide-{F}(V20,V21,V17) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #390: mergings( V5 == V19, V3 == V4, V4 == V19, V19 == V6, V6 == V7, V17 == V7, V18 == V7, V7 == V8, V8 == V9, V9 == V20; #379 ), references = 2, size of lhs = 21:
% 4.18/4.35 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_double_divide-{F}(V2,V1,V3), P_c3-{F}(V4), P_multiply-{F}(V2,V4,V5), P_multiply-{F}(V1,V5,V6), P_double_divide-{F}(V7,V0,V6), P_double_divide-{F}(V8,V9,V3), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V12,V11,V0), P_double_divide-{F}(V4,V13,V12), P_double_divide-{F}(V10,V14,V3), P_double_divide-{F}(V15,V0,V14), P_double_divide-{F}(V16,V0,V15), P_double_divide-{F}(V7,V17,V16), P_double_divide-{F}(V18,V0,V19), P_double_divide-{F}(V18,V19,V13), P_double_divide-{F}(V20,V0,V21), P_double_divide-{F}(V20,V21,V17) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #402: mergings( V5 == V16, V3 == V4, V4 == V16, V16 == V6, V6 == V7, V14 == V7, V15 == V7, V7 == V8, V8 == V9, V9 == V17; #391 ), references = 1, size of lhs = 18:
% 4.18/4.35 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_c3-{F}(V3), P_multiply-{F}(V2,V3,V4), P_multiply-{F}(V1,V4,V5), P_double_divide-{F}(V6,V0,V5), P_double_divide-{F}(V2,V0,V7), P_double_divide-{F}(V8,V7,V0), P_double_divide-{F}(V3,V9,V8), P_double_divide-{F}(V10,V0,V1), P_double_divide-{F}(V11,V0,V10), P_double_divide-{F}(V6,V12,V11), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V13,V14,V9), P_double_divide-{F}(V15,V0,V16), P_double_divide-{F}(V15,V16,V12) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #424: mergings( V3 == V9, V6 == V15, V13 == V14, V2 == V9, V9 == V4, V4 == V5, V5 == V15, V15 == V7, V14 == V7, V7 == V8, V10 == V8, V8 == V16; #411 ), references = 1, size of lhs = 9:
% 4.18/4.35 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_c3-{F}(V3), P_multiply-{F}(V2,V3,V0), P_double_divide-{F}(V2,V0,V4), P_double_divide-{F}(V3,V0,V5), P_double_divide-{F}(V5,V4,V0) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #463: mergings( V3 == V4, V4 == V5, V5 == V6; #457 ), references = 3, size of lhs = 15:
% 4.18/4.35 P_identity-{F}(V0), P_a3-{F}(V1), P_double_divide-{F}(V1,V0,V2), P_b3-{F}(V3), P_multiply-{F}(V1,V3,V4), P_c3-{F}(V5), P_multiply-{F}(V4,V5,V6), P_double_divide-{F}(V7,V0,V6), P_double_divide-{F}(V5,V3,V8), P_double_divide-{F}(V9,V2,V8), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V11,V10,V0), P_double_divide-{F}(V7,V12,V11), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V13,V14,V12) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #473: mergings( V4 == V13, V3 == V13, V13 == V5, V5 == V6, V6 == V7, V7 == V8, V19 == V21, V8 == V14, V20 == V22; #458 ), references = 1, size of lhs = 22:
% 4.18/4.35 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_double_divide-{F}(V1,V0,V2), P_b3-{F}(V3), P_double_divide-{F}(V3,V1,V4), P_c3-{F}(V5), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V5,V3,V7), P_double_divide-{F}(V8,V2,V7), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V6,V10,V0), P_double_divide-{F}(V11,V0,V10), P_double_divide-{F}(V11,V12,V4), P_double_divide-{F}(V13,V0,V12), P_double_divide-{F}(V14,V0,V13), P_double_divide-{F}(V15,V0,V14), P_double_divide-{F}(V16,V9,V0), P_double_divide-{F}(V15,V17,V16), P_double_divide-{F}(V18,V0,V19), P_double_divide-{F}(V18,V19,V17), P_double_divide-{F}(V20,V21,V4) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #483: mergings( V4 == V13, V3 == V13, V13 == V5, V5 == V6, V6 == V7, V7 == V8, V19 == V21, V8 == V14, V20 == V22; #459 ), references = 1, size of lhs = 22:
% 4.18/4.35 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_double_divide-{F}(V1,V0,V2), P_b3-{F}(V3), P_double_divide-{F}(V3,V1,V4), P_c3-{F}(V5), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V5,V3,V7), P_double_divide-{F}(V8,V2,V7), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V6,V10,V0), P_double_divide-{F}(V11,V0,V10), P_double_divide-{F}(V11,V12,V4), P_double_divide-{F}(V13,V0,V12), P_double_divide-{F}(V14,V0,V13), P_double_divide-{F}(V15,V0,V14), P_double_divide-{F}(V16,V9,V0), P_double_divide-{F}(V15,V17,V16), P_double_divide-{F}(V18,V0,V19), P_double_divide-{F}(V18,V19,V17), P_double_divide-{F}(V20,V21,V4) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #490: mergings( V3 == V4, V4 == V5, V5 == V6; #484 ), references = 1, size of lhs = 13:
% 4.18/4.35 P_identity-{F}(V0), P_a3-{F}(V1), P_double_divide-{F}(V1,V0,V2), P_b3-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c3-{F}(V4), P_multiply-{F}(V3,V4,V5), P_double_divide-{F}(V6,V0,V5), P_double_divide-{F}(V4,V0,V7), P_double_divide-{F}(V8,V7,V0), P_double_divide-{F}(V6,V9,V8), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V10,V11,V9) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #501: mergings( V4 == V12, V3 == V12, V12 == V5, V5 == V6, V11 == V14, V6 == V7, V7 == V8, V19 == V21, V8 == V13, V20 == V22; #485 ), references = 1, size of lhs = 19:
% 4.18/4.35 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_double_divide-{F}(V1,V0,V2), P_b3-{F}(V2), P_double_divide-{F}(V2,V1,V3), P_c3-{F}(V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V5,V6,V0), P_double_divide-{F}(V7,V0,V6), P_double_divide-{F}(V7,V8,V3), P_double_divide-{F}(V9,V0,V8), P_double_divide-{F}(V10,V0,V9), P_double_divide-{F}(V11,V0,V10), P_double_divide-{F}(V12,V5,V0), P_double_divide-{F}(V11,V13,V12), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V14,V15,V13), P_double_divide-{F}(V16,V17,V3) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #512: mergings( V4 == V12, V3 == V12, V12 == V5, V5 == V6, V11 == V14, V6 == V7, V7 == V8, V19 == V21, V8 == V13, V20 == V22; #486 ), references = 1, size of lhs = 19:
% 4.18/4.35 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_double_divide-{F}(V1,V0,V2), P_b3-{F}(V2), P_double_divide-{F}(V2,V1,V3), P_c3-{F}(V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V5,V6,V0), P_double_divide-{F}(V7,V0,V6), P_double_divide-{F}(V7,V8,V3), P_double_divide-{F}(V9,V0,V8), P_double_divide-{F}(V10,V0,V9), P_double_divide-{F}(V11,V0,V10), P_double_divide-{F}(V12,V5,V0), P_double_divide-{F}(V11,V13,V12), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V14,V15,V13), P_double_divide-{F}(V16,V17,V3) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #577: mergings( V5 == V12, V12 == V13, V13 == V14, V3 == V4, V4 == V14, V14 == V15; #569 ), references = 1, size of lhs = 16:
% 4.18/4.35 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_double_divide-{F}(V1,V0,V2), P_b3-{F}(V3), P_double_divide-{F}(V3,V1,V4), P_c3-{F}(V5), P_double_divide-{F}(V5,V3,V6), P_double_divide-{F}(V4,V2,V6), P_double_divide-{F}(V7,V8,V4), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V4,V11,V12), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V4,V13,V14), P_double_divide-{F}(V9,V14,V5) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #586: mergings( V6 == V14, V14 == V15, V15 == V16, V3 == V4, V4 == V5, V5 == V16, V16 == V7, V7 == V17; #570 ), references = 1, size of lhs = 19:
% 4.18/4.35 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_double_divide-{F}(V1,V0,V2), P_b3-{F}(V3), P_double_divide-{F}(V3,V1,V4), P_c3-{F}(V5), P_multiply-{F}(V3,V5,V6), P_double_divide-{F}(V4,V2,V7), P_double_divide-{F}(V7,V0,V6), P_double_divide-{F}(V8,V9,V4), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V10,V11,V0), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V4,V14,V15), P_double_divide-{F}(V15,V0,V16), P_double_divide-{F}(V4,V16,V17), P_double_divide-{F}(V12,V17,V5) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #642: mergings( V7 == V15, V15 == V16, V3 == V4, V4 == V5, V5 == V6, V6 == V16, V16 == V18, V18 == V8, V12 == V14, V8 == V9, V17 == V9; #629 ), references = 1, size of lhs = 27:
% 4.18/4.35 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_c3-{F}(V3), P_multiply-{F}(V2,V3,V4), P_multiply-{F}(V1,V4,V5), P_double_divide-{F}(V6,V0,V5), P_double_divide-{F}(V2,V1,V7), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V10,V9,V0), P_double_divide-{F}(V8,V11,V7), P_double_divide-{F}(V12,V0,V11), P_double_divide-{F}(V13,V0,V12), P_double_divide-{F}(V14,V0,V13), P_double_divide-{F}(V15,V0,V16), P_double_divide-{F}(V15,V16,V17), P_double_divide-{F}(V18,V17,V10), P_double_divide-{F}(V18,V0,V19), P_double_divide-{F}(V20,V0,V21), P_double_divide-{F}(V20,V21,V22), P_double_divide-{F}(V23,V22,V24), P_double_divide-{F}(V24,V19,V25), P_double_divide-{F}(V14,V25,V26), P_double_divide-{F}(V26,V0,V27), P_double_divide-{F}(V5,V27,V28), P_double_divide-{F}(V23,V28,V3) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #655: mergings( V8 == V14, V14 == V15, V18 == V20, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V15, V15 == V17, V20 == V22, V16 == V17, V19 == V21; #630 ), references = 1, size of lhs = 30:
% 4.18/4.35 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_double_divide-{F}(V1,V0,V2), P_b3-{F}(V3), P_c3-{F}(V4), P_double_divide-{F}(V4,V3,V5), P_double_divide-{F}(V6,V2,V5), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V3,V1,V8), P_double_divide-{F}(V9,V7,V0), P_double_divide-{F}(V10,V0,V9), P_double_divide-{F}(V11,V0,V12), P_double_divide-{F}(V13,V12,V0), P_double_divide-{F}(V11,V14,V8), P_double_divide-{F}(V15,V0,V14), P_double_divide-{F}(V16,V0,V15), P_double_divide-{F}(V17,V0,V16), P_double_divide-{F}(V18,V0,V19), P_double_divide-{F}(V18,V19,V20), P_double_divide-{F}(V21,V20,V13), P_double_divide-{F}(V21,V0,V22), P_double_divide-{F}(V23,V0,V24), P_double_divide-{F}(V23,V24,V25), P_double_divide-{F}(V26,V25,V27), P_double_divide-{F}(V27,V22,V28), P_double_divide-{F}(V17,V28,V29), P_double_divide-{F}(V29,V0,V30), P_double_divide-{F}(V9,V30,V31), P_double_divide-{F}(V26,V31,V4) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #688: mergings( V9 == V15, V15 == V16, V16 == V20, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V20, V18 == V20, V13 == V23, V27 == V29, V17 == V20, V20 == V21; #672 ), references = 1, size of lhs = 20:
% 4.18/4.35 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_double_divide-{F}(V1,V0,V2), P_b3-{F}(V3), P_c3-{F}(V4), P_double_divide-{F}(V4,V3,V5), P_double_divide-{F}(V3,V1,V6), P_double_divide-{F}(V7,V0,V4), P_double_divide-{F}(V8,V2,V5), P_double_divide-{F}(V9,V10,V8), P_double_divide-{F}(V11,V0,V12), P_double_divide-{F}(V13,V12,V0), P_double_divide-{F}(V14,V0,V13), P_double_divide-{F}(V4,V13,V15), P_double_divide-{F}(V16,V15,V8), P_double_divide-{F}(V16,V0,V17), P_double_divide-{F}(V17,V0,V18), P_double_divide-{F}(V18,V0,V19), P_double_divide-{F}(V11,V19,V6) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #705: mergings( V10 == V17, V17 == V18, V18 == V24, V3 == V4, V4 == V5, V5 == V6, V15 == V23, V6 == V7, V7 == V8, V8 == V9, V9 == V24, V20 == V24, V32 == V34, V24 == V11, V19 == V11, V11 == V25; #673 ), references = 1, size of lhs = 23:
% 4.18/4.35 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_double_divide-{F}(V1,V0,V2), P_b3-{F}(V3), P_c3-{F}(V4), P_multiply-{F}(V3,V4,V5), P_double_divide-{F}(V3,V1,V6), P_double_divide-{F}(V7,V0,V4), P_double_divide-{F}(V8,V0,V5), P_double_divide-{F}(V9,V2,V8), P_double_divide-{F}(V10,V11,V9), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V12,V13,V0), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V16,V15,V0), P_double_divide-{F}(V17,V0,V16), P_double_divide-{F}(V4,V16,V18), P_double_divide-{F}(V19,V18,V9), P_double_divide-{F}(V19,V0,V20), P_double_divide-{F}(V20,V0,V21), P_double_divide-{F}(V21,V0,V22), P_double_divide-{F}(V14,V22,V6) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #725: mergings( V10 == V17, V17 == V18, V18 == V22, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V22, V20 == V22, V15 == V25, V34 == V36, V19 == V22, V22 == V23; #708 ), references = 1, size of lhs = 24:
% 4.18/4.35 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V2,V0,V3), P_b3-{F}(V4), P_c3-{F}(V5), P_double_divide-{F}(V5,V4,V6), P_double_divide-{F}(V4,V1,V7), P_double_divide-{F}(V8,V0,V5), P_double_divide-{F}(V9,V3,V10), P_double_divide-{F}(V9,V0,V11), P_double_divide-{F}(V10,V0,V12), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V15,V14,V7), P_double_divide-{F}(V15,V0,V16), P_double_divide-{F}(V17,V16,V0), P_double_divide-{F}(V18,V0,V17), P_double_divide-{F}(V5,V17,V19), P_double_divide-{F}(V20,V11,V19), P_double_divide-{F}(V6,V21,V20), P_double_divide-{F}(V22,V0,V23), P_double_divide-{F}(V22,V23,V21) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #743: mergings( V11 == V19, V19 == V20, V20 == V26, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V17 == V25, V7 == V8, V8 == V9, V9 == V10, V10 == V26, V22 == V26, V39 == V41, V26 == V12, V21 == V12, V12 == V27; #709 ), references = 1, size of lhs = 27:
% 4.18/4.35 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V2,V0,V3), P_b3-{F}(V4), P_c3-{F}(V5), P_multiply-{F}(V4,V5,V6), P_double_divide-{F}(V4,V1,V7), P_double_divide-{F}(V8,V0,V5), P_double_divide-{F}(V9,V0,V6), P_double_divide-{F}(V10,V3,V11), P_double_divide-{F}(V10,V0,V12), P_double_divide-{F}(V11,V0,V13), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V16,V15,V7), P_double_divide-{F}(V16,V0,V17), P_double_divide-{F}(V18,V17,V0), P_double_divide-{F}(V19,V0,V18), P_double_divide-{F}(V5,V18,V20), P_double_divide-{F}(V21,V12,V20), P_double_divide-{F}(V9,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,V0) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #761: mergings( V10 == V15, V15 == V16, V16 == V19, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V19, V18 == V19, V13 == V22, V29 == V31, V17 == V19, V19 == V20; #744 ), references = 2, size of lhs = 22:
% 4.18/4.35 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V2,V0,V3), P_b3-{F}(V4), P_c3-{F}(V5), P_double_divide-{F}(V5,V4,V6), P_double_divide-{F}(V7,V0,V5), P_double_divide-{F}(V4,V0,V8), P_double_divide-{F}(V9,V0,V1), P_double_divide-{F}(V10,V0,V9), P_double_divide-{F}(V11,V0,V10), P_double_divide-{F}(V12,V3,V11), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V14,V8,V0), P_double_divide-{F}(V15,V0,V14), P_double_divide-{F}(V5,V14,V16), P_double_divide-{F}(V17,V13,V16), P_double_divide-{F}(V6,V18,V17), P_double_divide-{F}(V19,V0,V20), P_double_divide-{F}(V19,V20,V18) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #779: mergings( V11 == V17, V17 == V18, V18 == V23, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V15 == V22, V7 == V8, V8 == V9, V9 == V10, V10 == V23, V20 == V23, V32 == V34, V23 == V12, V19 == V12, V12 == V24; #745 ), references = 2, size of lhs = 25:
% 4.18/4.35 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V2,V0,V3), P_b3-{F}(V4), P_c3-{F}(V5), P_multiply-{F}(V4,V5,V6), P_double_divide-{F}(V7,V0,V5), P_double_divide-{F}(V8,V0,V6), P_double_divide-{F}(V4,V0,V9), P_double_divide-{F}(V10,V0,V1), P_double_divide-{F}(V11,V0,V10), P_double_divide-{F}(V12,V0,V11), P_double_divide-{F}(V13,V3,V12), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V15,V9,V0), P_double_divide-{F}(V16,V0,V15), P_double_divide-{F}(V5,V15,V17), P_double_divide-{F}(V18,V14,V17), P_double_divide-{F}(V8,V19,V18), P_double_divide-{F}(V20,V0,V21), P_double_divide-{F}(V20,V21,V19), P_double_divide-{F}(V22,V0,V23), P_double_divide-{F}(V22,V23,V0) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #808: mergings( V4 == V5, V5 == V13, V13 == V14, V2 == V3, V3 == V14, V6 == V14; #800 ), references = 2, size of lhs = 13:
% 4.18/4.35 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_c3-{F}(V3), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V5,V0,V3), P_double_divide-{F}(V2,V0,V6), P_double_divide-{F}(V4,V0,V7), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V9,V6,V0), P_double_divide-{F}(V3,V9,V8), P_double_divide-{F}(V10,V0,V9) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #815: mergings( V3 == V4, V4 == V13, V8 == V12, V13 == V14, V2 == V14, V5 == V14; #801 ), references = 2, size of lhs = 13:
% 4.18/4.35 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_c3-{F}(V3), P_multiply-{F}(V2,V3,V4), P_double_divide-{F}(V5,V0,V3), P_double_divide-{F}(V2,V0,V6), P_double_divide-{F}(V7,V0,V4), P_double_divide-{F}(V4,V0,V8), P_double_divide-{F}(V9,V6,V0), P_double_divide-{F}(V3,V9,V8), P_double_divide-{F}(V10,V0,V9) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #832: mergings( V4 == V8, V3 == V8, V8 == V9; #828 ), references = 1, size of lhs = 11:
% 4.18/4.35 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_c3-{F}(V3), P_double_divide-{F}(V4,V0,V3), P_double_divide-{F}(V2,V0,V5), P_double_divide-{F}(V3,V2,V6), P_double_divide-{F}(V7,V5,V0), P_double_divide-{F}(V3,V7,V6), P_double_divide-{F}(V8,V0,V7) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #836: mergings( V4 == V11, V3 == V11, V11 == V12; #827 ), references = 1, size of lhs = 12:
% 4.18/4.35 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_c3-{F}(V3), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V5,V0,V3), P_double_divide-{F}(V2,V0,V6), P_double_divide-{F}(V7,V6,V0), P_double_divide-{F}(V3,V7,V4), P_double_divide-{F}(V8,V0,V7), P_double_divide-{F}(V9,V10,V4) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #842: mergings( V4 == V8, V3 == V8, V8 == V9; #837 ), references = 2, size of lhs = 9:
% 4.18/4.35 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_c3-{F}(V3), P_double_divide-{F}(V4,V0,V3), P_double_divide-{F}(V2,V0,V5), P_double_divide-{F}(V2,V5,V0), P_double_divide-{F}(V6,V0,V2) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #846: mergings( V4 == V8, V3 == V8, V8 == V9; #838 ), references = 2, size of lhs = 9:
% 4.18/4.35 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_c3-{F}(V3), P_double_divide-{F}(V4,V0,V3), P_double_divide-{F}(V2,V0,V5), P_double_divide-{F}(V2,V5,V0), P_double_divide-{F}(V6,V0,V2) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #862: mergings( V2 == V3; #859 ), references = 1, size of lhs = 4:
% 4.18/4.35 P_identity-{F}(V0), P_a3-{F}(V1), P_b3-{F}(V2), P_c3-{F}(V2) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #884: mergings( V2 == V6, V6 == V3, V3 == V7; #879 ), references = 2, size of lhs = 8:
% 4.18/4.35 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_c3-{F}(V3), P_double_divide-{F}(V2,V0,V4), P_double_divide-{F}(V2,V4,V0), P_double_divide-{F}(V5,V0,V2) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #888: mergings( V2 == V6, V6 == V3, V3 == V7; #880 ), references = 1, size of lhs = 8:
% 4.18/4.35 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_c3-{F}(V3), P_double_divide-{F}(V2,V0,V4), P_double_divide-{F}(V2,V4,V0), P_double_divide-{F}(V5,V0,V2) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #911: exists( #8, #907 ), references = 1, size of lhs = 4:
% 4.18/4.35 P_identity-{F}(V0), P_a3-{F}(V1), P_b3-{F}(V2), P_c3-{F}(V3) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #914: exists( #11, #909 ), references = 1, size of lhs = 3:
% 4.18/4.35 P_identity-{F}(V0), P_a3-{F}(V1), P_b3-{F}(V2) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #917: exists( #10, #912 ), references = 1, size of lhs = 2:
% 4.18/4.35 P_identity-{F}(V0), P_a3-{F}(V1) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #920: exists( #9, #915 ), references = 1, size of lhs = 1:
% 4.18/4.35 P_identity-{F}(V0) | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 #923: exists( #6, #918 ), references = 1, size of lhs = 0:
% 4.18/4.35 FALSE | FALSE
% 4.18/4.35 (used 0 times, uses = {})
% 4.18/4.35
% 4.18/4.35 number of learnt formulas = 66
% 4.18/4.35
% 4.18/4.35
% 4.18/4.35 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.18/4.35
% 4.18/4.35 randbase = 1
%------------------------------------------------------------------------------