%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP498-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 06:03:59 EDT 2022
% Result : Unsatisfiable 13.84s 14.03s
% Output : Refutation 13.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP498-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n007.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 13:39:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 13.84/14.03 GeoParameters:
% 13.84/14.03
% 13.84/14.03 tptp_input = 1
% 13.84/14.03 tptp_output = 0
% 13.84/14.03 nonempty = 1
% 13.84/14.03 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.84/14.03 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 13.84/14.03
% 13.84/14.03
% 13.84/14.03 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.84/14.03 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.84/14.03
% 13.84/14.03 RuleSystem INPUT:
% 13.84/14.03
% 13.84/14.03 Initial Rules:
% 13.84/14.03 #0: input, references = 11, size of lhs = 9:
% 13.84/14.03 P_identity-{F}(V0), P_double_divide-{F}(V2,V0,V4), P_double_divide-{F}(V1,V4,V5), P_double_divide-{F}(V0,V5,V6), P_double_divide-{F}(V3,V1,V7), P_double_divide-{F}(V2,V7,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V6,V9,V10), V10 == V3 | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #1: input, references = 6, size of lhs = 5:
% 13.84/14.03 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
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #2: input, references = 5, size of lhs = 4:
% 13.84/14.03 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V1,V0,V3), V2 == V3 | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #3: input, references = 6, size of lhs = 4:
% 13.84/14.03 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V1,V2,V3), V0 == V3 | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #4: input, references = 10, size of lhs = 8:
% 13.84/14.03 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
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #5: input, references = 20, size of lhs = 2:
% 13.84/14.03 #-{F} V0, #-{F} V1 | EXISTS V2: P_double_divide-{T}(V0,V1,V2)
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #6: input, references = 4, size of lhs = 0:
% 13.84/14.03 FALSE | EXISTS V0: P_identity-{T}(V0)
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #7: input, references = 18, size of lhs = 2:
% 13.84/14.03 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #8: input, references = 13, size of lhs = 1:
% 13.84/14.03 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #9: input, references = 4, size of lhs = 0:
% 13.84/14.03 FALSE | EXISTS V0: P_a3-{T}(V0)
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #10: input, references = 5, size of lhs = 0:
% 13.84/14.03 FALSE | EXISTS V0: P_b3-{T}(V0)
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #11: input, references = 6, size of lhs = 0:
% 13.84/14.03 FALSE | EXISTS V0: P_c3-{T}(V0)
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 number of initial rules = 12
% 13.84/14.03
% 13.84/14.03 Simplifiers:
% 13.84/14.03 #12: unsound, references = 3, size of lhs = 3:
% 13.84/14.03 P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #13: unsound, references = 3, size of lhs = 3:
% 13.84/14.03 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #14: unsound, references = 3, size of lhs = 3:
% 13.84/14.03 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #15: unsound, references = 3, size of lhs = 3:
% 13.84/14.03 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #16: unsound, references = 3, size of lhs = 3:
% 13.84/14.03 P_a3-{F}(V0), P_a3-{F}(V1), V0 == V1 | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #17: unsound, references = 3, size of lhs = 3:
% 13.84/14.03 P_b3-{F}(V0), P_b3-{F}(V1), V0 == V1 | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #18: unsound, references = 3, size of lhs = 3:
% 13.84/14.03 P_c3-{F}(V0), P_c3-{F}(V1), V0 == V1 | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 number of simplifiers = 7
% 13.84/14.03
% 13.84/14.03 Learnt:
% 13.84/14.03 #20: exists( #5, #3 ), references = 35, size of lhs = 2:
% 13.84/14.03 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_double_divide-{T}(V1,V2,V0)
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #22: exists( #5, #2 ), references = 8, size of lhs = 2:
% 13.84/14.03 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_double_divide-{T}(V1,V0,V2)
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #27: exists( #8, #25 ), references = 27, size of lhs = 3:
% 13.84/14.03 P_identity-{F}(V0), P_double_divide-{F}(V1,V2,V3), P_multiply-{F}(V2,V1,V4) | P_inverse-{T}(V3,V4)
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #31: exists( #7, #1 ), references = 12, size of lhs = 3:
% 13.84/14.03 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V4,V1) | P_multiply-{T}(V4,V3,V2)
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #33: exists( #5, #1 ), references = 35, size of lhs = 3:
% 13.84/14.03 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_double_divide-{F}(V2,V1,V4) | P_double_divide-{T}(V4,V0,V3)
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #42: exists( #5, #0 ), references = 42, size of lhs = 7:
% 13.84/14.03 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V6,V3,V7), P_double_divide-{F}(V1,V7,V8), P_double_divide-{F}(V8,V0,V9) | P_double_divide-{T}(V5,V9,V6)
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #50: mergings( V3 == V4; #48 ), references = 1, size of lhs = 10:
% 13.84/14.03 P_identity-{F}(V0), P_double_divide-{F}(V1,V2,V0), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V5,V4,V0), P_double_divide-{F}(V6,V5,V7), P_double_divide-{F}(V3,V7,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V10,V6,V0), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V9,V11,V0) | P_multiply-{T}(V2,V1,V0)
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #75: exists( #8, #73 ), references = 1, size of lhs = 6:
% 13.84/14.03 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V2,V0), P_double_divide-{F}(V1,V4,V0), P_double_divide-{F}(V5,V3,V4), V0 == V5 | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #95: mergings( V10 == V11, V3 == V4, V4 == V5; #91 ), references = 1, size of lhs = 8:
% 13.84/14.03 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V1,V6,V5), P_double_divide-{F}(V7,V3,V6), V0 == V7, P_double_divide-{F}(V8,V9,V5) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #104: mergings( V3 == V4, V4 == V5, V5 == V6; #100 ), references = 7, size of lhs = 2:
% 13.84/14.03 P_identity-{F}(V0), P_double_divide-{F}(V1,V2,V0) | P_multiply-{T}(V2,V1,V0)
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #111: mergings( V2 == V3; #109 ), references = 1, size of lhs = 4:
% 13.84/14.03 P_a3-{F}(V0), P_b3-{F}(V0), P_c3-{F}(V0), P_identity-{F}(V0) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #136: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V6, V14 == V15; #130 ), references = 23, size of lhs = 11:
% 13.84/14.03 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V2,V4,V1), P_double_divide-{F}(V5,V3,V6), P_double_divide-{F}(V7,V5,V4), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V7,V9,V11), P_double_divide-{F}(V0,V11,V12), P_double_divide-{F}(V12,V10,V13) | P_double_divide-{T}(V0,V6,V13)
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #177: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V12, V27 == V28, V12 == V8, V15 == V17, V8 == V11, V11 == V14, V14 == V17, V17 == V16, V16 == V18, V18 == V19, V19 == V20; #159 ), references = 2, size of lhs = 19:
% 13.84/14.03 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}(V4,V3,V1), P_double_divide-{F}(V5,V4,V6), P_double_divide-{F}(V2,V6,V7), V7 == V5, P_double_divide-{F}(V5,V0,V8), P_double_divide-{F}(V9,V0,V8), P_double_divide-{F}(V10,V11,V7), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V14,V13,V7), P_double_divide-{F}(V9,V14,V15), P_double_divide-{F}(V12,V15,V0), P_double_divide-{F}(V16,V0,V17), P_double_divide-{F}(V18,V17,V7), P_double_divide-{F}(V5,V18,V19), P_double_divide-{F}(V16,V19,V0) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #206: mergings( V4 == V5, V5 == V6, V3 == V6; #202 ), references = 2, size of lhs = 9:
% 13.84/14.03 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}(V4,V3,V1), P_double_divide-{F}(V5,V4,V6), P_double_divide-{F}(V2,V6,V7), V5 == V7, P_double_divide-{F}(V8,V9,V7) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #211: mergings( V4 == V5, V5 == V6, V3 == V6; #207 ), references = 45, size of lhs = 6:
% 13.84/14.03 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}(V4,V3,V1), P_double_divide-{F}(V5,V4,V6) | P_double_divide-{T}(V2,V6,V5)
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #226: mergings( V4 == V6, V2 == V3, V3 == V6, V5 == V6, V6 == V8, V8 == V7, V7 == V9; #218 ), references = 1, size of lhs = 6:
% 13.84/14.03 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
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #233: mergings( V2 == V3; #231 ), references = 1, size of lhs = 4:
% 13.84/14.03 P_a3-{F}(V0), P_b3-{F}(V0), P_identity-{F}(V0), P_c3-{F}(V1) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #236: mergings( V1 == V2; #234 ), references = 1, size of lhs = 3:
% 13.84/14.03 P_a3-{F}(V0), P_b3-{F}(V0), P_identity-{F}(V0) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #268: mergings( V5 == V6, V10 == V13, V3 == V4, V4 == V6; #263 ), references = 2, size of lhs = 8:
% 13.84/14.03 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V1,V4,V5), P_double_divide-{F}(V6,V4,V5), V3 == V6, P_double_divide-{F}(V7,V8,V4) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #292: mergings( V6 == V9, V3 == V4, V4 == V5, V5 == V9, V7 == V9, V9 == V10, V10 == V8, V8 == V11; #283 ), references = 1, size of lhs = 7:
% 13.84/14.03 P_identity-{F}(V0), P_a3-{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) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #302: mergings( V6 == V9, V3 == V4, V4 == V5, V5 == V9, V7 == V9, V9 == V10, V10 == V8, V8 == V11; #293 ), references = 1, size of lhs = 6:
% 13.84/14.03 P_identity-{F}(V0), P_a3-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_b3-{F}(V1), P_multiply-{F}(V0,V1,V1), P_c3-{F}(V2) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #324: mergings( V4 == V6, V10 == V6, V2 == V3, V3 == V7, V7 == V8, V8 == V9, V5 == V11, V14 == V16, V9 == V6, V6 == V11, V11 == V16, V16 == V12, V12 == V15, V15 == V17; #309 ), references = 1, size of lhs = 5:
% 13.84/14.03 P_a3-{F}(V0), P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_b3-{F}(V1), P_c3-{F}(V2) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #331: mergings( V2 == V3, V3 == V4; #328 ), references = 1, size of lhs = 4:
% 13.84/14.03 P_a3-{F}(V0), P_identity-{F}(V0), P_b3-{F}(V1), P_c3-{F}(V2) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #335: mergings( V1 == V2, V2 == V3; #332 ), references = 1, size of lhs = 3:
% 13.84/14.03 P_a3-{F}(V0), P_identity-{F}(V0), P_b3-{F}(V1) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #339: mergings( V1 == V2, V2 == V3; #336 ), references = 1, size of lhs = 2:
% 13.84/14.03 P_a3-{F}(V0), P_identity-{F}(V0) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #382: mergings( V3 == V4, V4 == V5, V6 == V7, V7 == V10, V9 == V5, V5 == V10, V10 == V8, V8 == V11, V11 == V12; #370 ), references = 12, size of lhs = 13:
% 13.84/14.03 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V2,V0), P_double_divide-{F}(V1,V0,V3), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V0,V5,V6), P_double_divide-{F}(V0,V6,V7), P_double_divide-{F}(V8,V3,V9), P_double_divide-{F}(V2,V9,V8), P_double_divide-{F}(V4,V9,V10), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V7,V11,V12), P_double_divide-{F}(V13,V14,V9) | P_multiply-{T}(V14,V13,V12)
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #392: mergings( V3 == V4, V4 == V5, V6 == V7, V7 == V9, V8 == V5, V9 == V5, V5 == V10, V10 == V11, V11 == V12; #371 ), references = 1, size of lhs = 16:
% 13.84/14.03 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V2,V0), P_double_divide-{F}(V1,V0,V3), P_double_divide-{F}(V0,V2,V4), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V6,V3,V7), P_double_divide-{F}(V2,V7,V6), P_double_divide-{F}(V6,V0,V8), P_double_divide-{F}(V4,V8,V9), P_double_divide-{F}(V10,V11,V7), P_double_divide-{F}(V12,V7,V13), P_double_divide-{F}(V14,V12,V0), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V13,V15,V7), P_double_divide-{F}(V16,V17,V0) | P_multiply-{T}(V11,V10,V9)
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #406: mergings( V3 == V4, V4 == V5, V6 == V7, V7 == V13, V11 == V5, V5 == V13, V13 == V8, V8 == V9, V10 == V9, V12 == V9, V9 == V14, V14 == V15, V15 == V16; #372 ), references = 1, size of lhs = 15:
% 13.84/14.03 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V2,V0), P_double_divide-{F}(V1,V0,V3), P_double_divide-{F}(V0,V2,V4), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V6,V3,V7), P_double_divide-{F}(V2,V7,V6), P_double_divide-{F}(V6,V0,V8), P_double_divide-{F}(V4,V8,V9), P_double_divide-{F}(V10,V11,V7), P_double_divide-{F}(V12,V7,V13), P_double_divide-{F}(V14,V12,V0), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V13,V15,V7) | P_multiply-{T}(V11,V10,V9)
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #417: mergings( V3 == V4, V4 == V5, V5 == V6; #413 ), references = 2, size of lhs = 21:
% 13.84/14.03 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_double_divide-{F}(V4,V0,V5), P_multiply-{F}(V2,V4,V6), P_multiply-{F}(V1,V6,V7), P_double_divide-{F}(V8,V0,V7), P_double_divide-{F}(V0,V9,V0), P_double_divide-{F}(V10,V5,V9), P_double_divide-{F}(V0,V11,V8), P_double_divide-{F}(V0,V12,V11), P_double_divide-{F}(V13,V0,V12), P_double_divide-{F}(V13,V3,V14), P_double_divide-{F}(V14,V0,V10), P_double_divide-{F}(V15,V16,V0), P_double_divide-{F}(V15,V0,V17), P_double_divide-{F}(V16,V3,V18), P_double_divide-{F}(V18,V17,V3) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #425: mergings( V3 == V4, V4 == V5, V16 == V18, V5 == V6, V6 == V7; #419 ), references = 2, size of lhs = 19:
% 13.84/14.03 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,V0,V4), P_multiply-{F}(V2,V3,V5), P_multiply-{F}(V1,V5,V6), P_double_divide-{F}(V2,V0,V7), P_double_divide-{F}(V7,V4,V8), P_double_divide-{F}(V0,V8,V0), P_double_divide-{F}(V9,V0,V1), P_double_divide-{F}(V9,V10,V0), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V1,V11,V12), P_double_divide-{F}(V0,V12,V0), P_double_divide-{F}(V0,V11,V13), P_double_divide-{F}(V0,V13,V14), P_double_divide-{F}(V14,V0,V6) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #452: mergings( V5 == V14, V14 == V15, V2 == V3, V15 == V6, V12 == V6, V6 == V3, V4 == V3, V3 == V13, V13 == V16; #442 ), references = 1, size of lhs = 10:
% 13.84/14.03 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}(V3,V0,V4), P_double_divide-{F}(V2,V0,V5), P_double_divide-{F}(V5,V4,V6), P_double_divide-{F}(V0,V6,V0) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #500: mergings( V7 == V15, V3 == V4, V4 == V5, V5 == V6, V6 == V15, V8 == V15, V15 == V17, V17 == V9, V9 == V10, V10 == V16, V16 == V18; #487 ), references = 3, size of lhs = 28:
% 13.84/14.03 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), 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,V1), P_double_divide-{F}(V4,V2,V7), P_double_divide-{F}(V6,V8,V0), P_double_divide-{F}(V0,V9,V8), P_double_divide-{F}(V10,V0,V1), P_double_divide-{F}(V0,V11,V10), P_double_divide-{F}(V0,V12,V9), P_double_divide-{F}(V13,V0,V12), P_double_divide-{F}(V13,V7,V14), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V0,V16,V15), P_double_divide-{F}(V17,V0,V18), P_double_divide-{F}(V19,V18,V16), P_double_divide-{F}(V11,V19,V20), P_double_divide-{F}(V17,V20,V7), P_double_divide-{F}(V21,V0,V22), P_double_divide-{F}(V0,V22,V23), P_double_divide-{F}(V0,V23,V24), P_double_divide-{F}(V21,V15,V25), P_double_divide-{F}(V25,V0,V26), P_double_divide-{F}(V24,V26,V5) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #512: mergings( V7 == V15, V3 == V4, V4 == V5, V5 == V6, V6 == V15, V8 == V15, V15 == V17, V17 == V9, V9 == V10, V10 == V16, V16 == V18; #488 ), references = 1, size of lhs = 40:
% 13.84/14.03 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_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V6,V0,V1), P_double_divide-{F}(V4,V2,V7), P_double_divide-{F}(V6,V8,V0), P_double_divide-{F}(V0,V9,V8), P_double_divide-{F}(V10,V0,V1), P_double_divide-{F}(V0,V11,V10), P_double_divide-{F}(V0,V12,V0), P_double_divide-{F}(V13,V5,V12), P_double_divide-{F}(V14,V0,V13), P_double_divide-{F}(V15,V3,V14), P_double_divide-{F}(V15,V0,V16), P_double_divide-{F}(V0,V16,V17), P_double_divide-{F}(V0,V17,V18), P_double_divide-{F}(V18,V0,V19), P_double_divide-{F}(V0,V20,V9), P_double_divide-{F}(V21,V0,V20), P_double_divide-{F}(V21,V7,V22), P_double_divide-{F}(V22,V0,V23), P_double_divide-{F}(V0,V24,V23), P_double_divide-{F}(V25,V0,V26), P_double_divide-{F}(V27,V26,V24), P_double_divide-{F}(V11,V27,V28), P_double_divide-{F}(V25,V28,V7), P_double_divide-{F}(V29,V0,V30), P_double_divide-{F}(V0,V30,V31), P_double_divide-{F}(V0,V31,V32), P_double_divide-{F}(V29,V23,V33), P_double_divide-{F}(V33,V0,V34), P_double_divide-{F}(V32,V34,V19), P_double_divide-{F}(V35,V36,V0), P_double_divide-{F}(V35,V0,V37), P_double_divide-{F}(V36,V3,V38), P_double_divide-{F}(V38,V37,V3) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #531: mergings( V8 == V16, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V25 == V27, V7 == V16, V9 == V16, V16 == V18, V28 == V30, V18 == V10, V10 == V11, V11 == V17, V17 == V19; #515 ), references = 1, size of lhs = 26:
% 13.84/14.03 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), 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,V1), P_double_divide-{F}(V4,V0,V7), P_double_divide-{F}(V0,V8,V0), P_double_divide-{F}(V6,V9,V0), P_double_divide-{F}(V0,V10,V9), P_double_divide-{F}(V11,V0,V1), P_double_divide-{F}(V0,V12,V11), P_double_divide-{F}(V12,V13,V2), P_double_divide-{F}(V13,V7,V14), P_double_divide-{F}(V0,V14,V7), P_double_divide-{F}(V0,V15,V10), P_double_divide-{F}(V2,V15,V8), P_double_divide-{F}(V16,V0,V15), P_double_divide-{F}(V17,V0,V18), P_double_divide-{F}(V0,V18,V19), P_double_divide-{F}(V0,V19,V20), P_double_divide-{F}(V17,V7,V21), P_double_divide-{F}(V21,V0,V22), P_double_divide-{F}(V20,V22,V5) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #547: mergings( V8 == V16, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V33 == V35, V7 == V16, V9 == V16, V16 == V18, V36 == V38, V18 == V10, V10 == V11, V14 == V38, V11 == V17, V17 == V19; #516 ), references = 1, size of lhs = 37:
% 13.84/14.03 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_double_divide-{F}(V5,V0,V1), P_double_divide-{F}(V4,V0,V6), P_double_divide-{F}(V0,V7,V0), P_double_divide-{F}(V5,V8,V0), P_double_divide-{F}(V0,V9,V8), P_double_divide-{F}(V10,V0,V1), P_double_divide-{F}(V0,V11,V10), P_double_divide-{F}(V11,V12,V2), P_double_divide-{F}(V12,V6,V13), P_double_divide-{F}(V0,V13,V6), P_double_divide-{F}(V0,V14,V0), P_double_divide-{F}(V15,V6,V14), P_double_divide-{F}(V16,V0,V15), P_double_divide-{F}(V17,V3,V16), P_double_divide-{F}(V17,V0,V18), P_double_divide-{F}(V0,V18,V19), P_double_divide-{F}(V0,V19,V20), P_double_divide-{F}(V20,V0,V21), P_double_divide-{F}(V0,V22,V9), P_double_divide-{F}(V2,V22,V7), P_double_divide-{F}(V23,V0,V22), P_double_divide-{F}(V24,V0,V25), P_double_divide-{F}(V0,V25,V26), P_double_divide-{F}(V0,V26,V27), P_double_divide-{F}(V24,V6,V28), P_double_divide-{F}(V28,V0,V29), P_double_divide-{F}(V27,V29,V21), P_double_divide-{F}(V30,V31,V0), P_double_divide-{F}(V30,V0,V32), P_double_divide-{F}(V31,V3,V33), P_double_divide-{F}(V33,V32,V3) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #583: mergings( V12 == V17, V3 == V4, V4 == V5, V5 == V6; #578 ), references = 1, size of lhs = 11:
% 13.84/14.03 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}(V4,V0,V5), P_double_divide-{F}(V3,V6,V7), P_double_divide-{F}(V7,V2,V8), P_double_divide-{F}(V0,V8,V9), P_double_divide-{F}(V9,V5,V10), V10 == V6, P_double_divide-{F}(V11,V12,V6) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #590: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #585 ), references = 8, size of lhs = 11:
% 13.84/14.03 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}(V4,V3,V1), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V5,V2,V7), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V9,V6,V10), P_double_divide-{F}(V0,V10,V11), P_double_divide-{F}(V11,V8,V12) | P_double_divide-{T}(V9,V4,V12)
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #620: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V26 == V28, V10 == V11, V11 == V12; #608 ), references = 1, size of lhs = 31:
% 13.84/14.03 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c3-{F}(V4), P_multiply-{F}(V2,V4,V5), P_double_divide-{F}(V6,V0,V3), P_double_divide-{F}(V0,V7,V0), P_double_divide-{F}(V0,V8,V0), P_double_divide-{F}(V1,V9,V8), P_double_divide-{F}(V10,V0,V9), P_double_divide-{F}(V0,V11,V0), P_double_divide-{F}(V3,V12,V11), P_double_divide-{F}(V13,V0,V12), P_double_divide-{F}(V0,V14,V4), P_double_divide-{F}(V0,V15,V14), P_double_divide-{F}(V16,V0,V15), P_double_divide-{F}(V17,V16,V0), P_double_divide-{F}(V17,V0,V18), P_double_divide-{F}(V18,V15,V7), P_double_divide-{F}(V19,V0,V1), P_double_divide-{F}(V20,V13,V19), P_double_divide-{F}(V20,V0,V21), P_double_divide-{F}(V4,V21,V22), P_double_divide-{F}(V0,V22,V5), P_double_divide-{F}(V23,V0,V18), P_double_divide-{F}(V24,V10,V23), P_double_divide-{F}(V24,V0,V25), P_double_divide-{F}(V5,V25,V26), P_double_divide-{F}(V0,V26,V6) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #633: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V42 == V44, V11 == V12, V12 == V13, V13 == V14; #609 ), references = 1, size of lhs = 50:
% 13.84/14.03 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c3-{F}(V4), P_double_divide-{F}(V5,V0,V1), P_double_divide-{F}(V4,V2,V6), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V6,V7,V8), P_double_divide-{F}(V0,V8,V0), P_double_divide-{F}(V9,V0,V3), P_double_divide-{F}(V0,V10,V0), P_double_divide-{F}(V0,V11,V0), P_double_divide-{F}(V0,V12,V0), P_double_divide-{F}(V3,V13,V12), P_double_divide-{F}(V14,V0,V13), P_double_divide-{F}(V0,V15,V0), P_double_divide-{F}(V6,V16,V15), P_double_divide-{F}(V17,V0,V16), P_double_divide-{F}(V5,V18,V0), P_double_divide-{F}(V0,V19,V18), P_double_divide-{F}(V0,V20,V19), P_double_divide-{F}(V21,V0,V20), P_double_divide-{F}(V22,V0,V21), P_double_divide-{F}(V0,V22,V23), P_double_divide-{F}(V23,V0,V1), P_double_divide-{F}(V24,V0,V3), P_double_divide-{F}(V25,V17,V24), P_double_divide-{F}(V25,V0,V26), P_double_divide-{F}(V21,V26,V27), P_double_divide-{F}(V0,V27,V4), P_double_divide-{F}(V0,V28,V4), P_double_divide-{F}(V0,V29,V28), P_double_divide-{F}(V30,V0,V29), P_double_divide-{F}(V31,V30,V0), P_double_divide-{F}(V31,V0,V32), P_double_divide-{F}(V32,V29,V10), P_double_divide-{F}(V33,V0,V32), P_double_divide-{F}(V0,V34,V9), P_double_divide-{F}(V35,V0,V36), P_double_divide-{F}(V37,V35,V33), P_double_divide-{F}(V37,V0,V38), P_double_divide-{F}(V39,V36,V11), P_double_divide-{F}(V40,V0,V39), P_double_divide-{F}(V41,V14,V40), P_double_divide-{F}(V41,V0,V42), P_double_divide-{F}(V4,V42,V43), P_double_divide-{F}(V0,V43,V44), P_double_divide-{F}(V44,V38,V34) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #684: mergings( V3 == V4; #681 ), references = 1, size of lhs = 8:
% 13.84/14.03 P_identity-{F}(V0), P_a3-{F}(V1), P_b3-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c3-{F}(V4), P_double_divide-{F}(V4,V3,V5), P_multiply-{F}(V2,V4,V6), P_double_divide-{F}(V6,V1,V5) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #696: mergings( V3 == V4, V4 == V5, V8 == V9, V9 == V18, V18 == V5, V6 == V7, V7 == V5, V29 == V31, V35 == V37, V5 == V23, V23 == V24; #682 ), references = 1, size of lhs = 30:
% 13.84/14.03 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c3-{F}(V4), P_double_divide-{F}(V4,V3,V5), P_double_divide-{F}(V6,V0,V1), P_double_divide-{F}(V4,V2,V7), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V9,V5,V8), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V11,V0,V10), P_double_divide-{F}(V0,V11,V12), P_double_divide-{F}(V12,V0,V1), P_double_divide-{F}(V0,V13,V0), P_double_divide-{F}(V0,V14,V0), P_double_divide-{F}(V6,V15,V0), P_double_divide-{F}(V0,V16,V15), P_double_divide-{F}(V0,V17,V16), P_double_divide-{F}(V10,V17,V14), P_double_divide-{F}(V18,V0,V17), P_double_divide-{F}(V19,V20,V5), P_double_divide-{F}(V21,V5,V22), P_double_divide-{F}(V21,V0,V23), P_double_divide-{F}(V23,V24,V13), P_double_divide-{F}(V25,V0,V24), P_double_divide-{F}(V26,V24,V5), P_double_divide-{F}(V0,V26,V27), P_double_divide-{F}(V27,V0,V22) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #708: mergings( V3 == V4, V4 == V5, V5 == V6; #703 ), references = 2, size of lhs = 23:
% 13.84/14.03 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c3-{F}(V4), P_multiply-{F}(V2,V4,V5), P_double_divide-{F}(V0,V6,V0), P_double_divide-{F}(V1,V7,V6), P_double_divide-{F}(V8,V0,V7), P_double_divide-{F}(V0,V9,V0), P_double_divide-{F}(V3,V10,V9), P_double_divide-{F}(V11,V0,V10), P_double_divide-{F}(V12,V0,V1), P_double_divide-{F}(V13,V11,V12), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V4,V14,V15), P_double_divide-{F}(V0,V15,V5), P_double_divide-{F}(V16,V0,V17), P_double_divide-{F}(V16,V8,V18), P_double_divide-{F}(V18,V0,V19), P_double_divide-{F}(V5,V17,V20), P_double_divide-{F}(V0,V20,V21) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #726: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V12 == V13, V13 == V21, V21 == V9, V32 == V34, V50 == V51, V10 == V11, V11 == V9, V42 == V44, V52 == V1, V9 == V22, V22 == V23; #704 ), references = 2, size of lhs = 45:
% 13.84/14.03 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_b3-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c3-{F}(V4), P_double_divide-{F}(V5,V0,V1), P_double_divide-{F}(V4,V2,V6), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V0,V8,V0), P_double_divide-{F}(V0,V9,V0), P_double_divide-{F}(V0,V10,V0), P_double_divide-{F}(V0,V11,V0), P_double_divide-{F}(V3,V12,V11), P_double_divide-{F}(V13,V0,V12), P_double_divide-{F}(V14,V0,V1), P_double_divide-{F}(V0,V15,V14), P_double_divide-{F}(V15,V0,V16), P_double_divide-{F}(V17,V0,V16), P_double_divide-{F}(V18,V16,V10), P_double_divide-{F}(V18,V19,V9), P_double_divide-{F}(V20,V0,V19), P_double_divide-{F}(V0,V21,V0), P_double_divide-{F}(V0,V22,V0), P_double_divide-{F}(V5,V23,V0), P_double_divide-{F}(V0,V24,V23), P_double_divide-{F}(V0,V25,V24), P_double_divide-{F}(V16,V25,V22), P_double_divide-{F}(V26,V0,V25), P_double_divide-{F}(V27,V0,V18), P_double_divide-{F}(V28,V13,V27), P_double_divide-{F}(V28,V0,V29), P_double_divide-{F}(V4,V29,V30), P_double_divide-{F}(V0,V30,V7), P_double_divide-{F}(V31,V0,V32), P_double_divide-{F}(V32,V33,V21), P_double_divide-{F}(V33,V32,V8), P_double_divide-{F}(V34,V0,V33), P_double_divide-{F}(V35,V0,V33), P_double_divide-{F}(V36,V20,V35), P_double_divide-{F}(V36,V0,V37), P_double_divide-{F}(V7,V37,V38), P_double_divide-{F}(V0,V38,V39), P_double_divide-{F}(V0,V39,V40), P_double_divide-{F}(V40,V0,V39) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #758: mergings( V3 == V4, V4 == V5, V6 == V7, V7 == V22, V22 == V5, V5 == V8, V8 == V9, V9 == V19, V19 == V23; #747 ), references = 1, size of lhs = 21:
% 13.84/14.03 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_double_divide-{F}(V6,V0,V1), P_double_divide-{F}(V5,V0,V7), P_double_divide-{F}(V4,V7,V8), P_double_divide-{F}(V0,V8,V5), P_double_divide-{F}(V0,V6,V9), P_double_divide-{F}(V6,V10,V0), P_double_divide-{F}(V10,V3,V11), P_double_divide-{F}(V0,V11,V5), P_double_divide-{F}(V0,V12,V0), P_double_divide-{F}(V1,V13,V12), P_double_divide-{F}(V14,V0,V13), P_double_divide-{F}(V15,V3,V14), P_double_divide-{F}(V15,V0,V16), P_double_divide-{F}(V17,V18,V3) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #782: mergings( V3 == V4, V4 == V5, V8 == V9, V9 == V30, V30 == V5, V6 == V7, V7 == V5, V5 == V10, V10 == V11, V11 == V12, V15 == V16, V16 == V24, V24 == V12, V43 == V45, V59 == V61, V13 == V14, V14 == V12, V49 == V51, V56 == V58, V12 == V25, V25 == V26, V26 == V29, V29 == V31; #748 ), references = 1, size of lhs = 43:
% 13.84/14.03 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_double_divide-{F}(V5,V0,V1), P_double_divide-{F}(V4,V2,V6), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V4,V8,V9), P_double_divide-{F}(V0,V9,V7), P_double_divide-{F}(V0,V10,V7), P_double_divide-{F}(V11,V3,V10), P_double_divide-{F}(V12,V11,V0), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V0,V12,V14), P_double_divide-{F}(V0,V14,V15), P_double_divide-{F}(V15,V0,V14), P_double_divide-{F}(V0,V16,V0), P_double_divide-{F}(V0,V17,V0), P_double_divide-{F}(V0,V18,V0), P_double_divide-{F}(V19,V0,V1), P_double_divide-{F}(V0,V20,V19), P_double_divide-{F}(V20,V0,V21), P_double_divide-{F}(V13,V21,V18), P_double_divide-{F}(V22,V0,V21), P_double_divide-{F}(V13,V23,V17), P_double_divide-{F}(V24,V0,V23), P_double_divide-{F}(V25,V3,V24), P_double_divide-{F}(V25,V0,V26), P_double_divide-{F}(V27,V0,V26), P_double_divide-{F}(V0,V28,V0), P_double_divide-{F}(V0,V29,V0), P_double_divide-{F}(V5,V30,V0), P_double_divide-{F}(V0,V31,V30), P_double_divide-{F}(V0,V32,V31), P_double_divide-{F}(V21,V32,V29), P_double_divide-{F}(V33,V0,V32), P_double_divide-{F}(V34,V26,V28), P_double_divide-{F}(V26,V34,V16), P_double_divide-{F}(V35,V0,V34), P_double_divide-{F}(V36,V37,V3) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #871: mergings( V3 == V4, V21 == V22, V12 == V23, V4 == V20, V20 == V22, V22 == V23, V23 == V5, V5 == V6, V6 == V7, V7 == V11; #859 ), references = 2, size of lhs = 24:
% 13.84/14.03 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,V1), P_double_divide-{F}(V2,V1,V6), P_double_divide-{F}(V0,V7,V0), P_double_divide-{F}(V1,V8,V7), P_double_divide-{F}(V9,V0,V8), P_double_divide-{F}(V0,V10,V4), P_double_divide-{F}(V3,V11,V10), P_double_divide-{F}(V12,V0,V11), P_double_divide-{F}(V0,V13,V12), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V16,V15,V13), P_double_divide-{F}(V5,V16,V17), P_double_divide-{F}(V14,V17,V6), P_double_divide-{F}(V18,V0,V19), P_double_divide-{F}(V18,V9,V20), P_double_divide-{F}(V20,V0,V21), P_double_divide-{F}(V4,V19,V22), P_double_divide-{F}(V0,V22,V23) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #883: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V15 == V17, V14 == V18, V8 == V16, V16 == V17, V17 == V18, V18 == V13; #860 ), references = 1, size of lhs = 39:
% 13.84/14.03 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,V1), P_double_divide-{F}(V3,V2,V5), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V2,V1,V7), P_double_divide-{F}(V0,V8,V0), P_double_divide-{F}(V0,V9,V0), P_double_divide-{F}(V10,V0,V1), P_double_divide-{F}(V0,V11,V10), P_double_divide-{F}(V11,V0,V12), P_double_divide-{F}(V13,V0,V12), P_double_divide-{F}(V14,V12,V9), P_double_divide-{F}(V15,V0,V14), P_double_divide-{F}(V14,V16,V8), P_double_divide-{F}(V17,V0,V16), P_double_divide-{F}(V18,V17,V7), P_double_divide-{F}(V18,V0,V19), P_double_divide-{F}(V6,V19,V20), P_double_divide-{F}(V0,V20,V21), P_double_divide-{F}(V0,V21,V22), P_double_divide-{F}(V22,V0,V21), P_double_divide-{F}(V0,V23,V0), P_double_divide-{F}(V4,V24,V0), P_double_divide-{F}(V0,V25,V24), P_double_divide-{F}(V0,V26,V25), P_double_divide-{F}(V12,V26,V23), P_double_divide-{F}(V27,V0,V26), P_double_divide-{F}(V0,V28,V6), P_double_divide-{F}(V3,V29,V28), P_double_divide-{F}(V30,V0,V29), P_double_divide-{F}(V0,V31,V30), P_double_divide-{F}(V32,V0,V33), P_double_divide-{F}(V34,V33,V31), P_double_divide-{F}(V15,V34,V35), P_double_divide-{F}(V32,V35,V7) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #896: mergings( V3 == V4, V21 == V22, V12 == V23, V4 == V20, V20 == V22, V22 == V23, V23 == V5, V5 == V6, V6 == V7, V7 == V11; #884 ), references = 2, size of lhs = 22:
% 13.84/14.03 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,V1), P_double_divide-{F}(V2,V0,V6), P_double_divide-{F}(V5,V7,V1), P_double_divide-{F}(V7,V6,V8), P_double_divide-{F}(V0,V8,V9), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V3,V10,V11), P_double_divide-{F}(V0,V11,V4), P_double_divide-{F}(V0,V12,V0), P_double_divide-{F}(V1,V13,V12), P_double_divide-{F}(V14,V0,V13), P_double_divide-{F}(V15,V0,V16), P_double_divide-{F}(V15,V14,V17), P_double_divide-{F}(V17,V0,V18), P_double_divide-{F}(V4,V16,V19), P_double_divide-{F}(V0,V19,V20) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #909: mergings( V28 == V41, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V15 == V17, V14 == V18, V8 == V16, V16 == V17, V17 == V18, V18 == V13; #885 ), references = 1, size of lhs = 35:
% 13.84/14.03 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,V1), P_double_divide-{F}(V3,V2,V5), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V1,V0,V7), P_double_divide-{F}(V2,V0,V8), P_double_divide-{F}(V6,V8,V9), P_double_divide-{F}(V0,V9,V10), P_double_divide-{F}(V0,V10,V11), P_double_divide-{F}(V11,V0,V10), P_double_divide-{F}(V0,V12,V0), P_double_divide-{F}(V0,V13,V0), P_double_divide-{F}(V14,V0,V1), P_double_divide-{F}(V0,V15,V14), P_double_divide-{F}(V15,V0,V16), P_double_divide-{F}(V17,V0,V16), P_double_divide-{F}(V18,V16,V13), P_double_divide-{F}(V18,V7,V12), P_double_divide-{F}(V19,V0,V18), P_double_divide-{F}(V19,V20,V1), P_double_divide-{F}(V20,V8,V21), P_double_divide-{F}(V0,V21,V22), P_double_divide-{F}(V22,V0,V23), P_double_divide-{F}(V3,V23,V24), P_double_divide-{F}(V0,V24,V6), P_double_divide-{F}(V0,V25,V0), P_double_divide-{F}(V4,V26,V0), P_double_divide-{F}(V0,V27,V26), P_double_divide-{F}(V0,V28,V27), P_double_divide-{F}(V16,V28,V25), P_double_divide-{F}(V29,V0,V28) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #945: mergings( V8 == V19, V19 == V23, V23 == V24, V2 == V3, V24 == V9, V9 == V25, V25 == V3, V4 == V5, V29 == V30, V27 == V31, V5 == V28, V28 == V30, V30 == V31, V31 == V6, V6 == V7, V7 == V3, V3 == V22, V22 == V26, V26 == V13; #924 ), references = 2, size of lhs = 14:
% 13.84/14.03 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}(V2,V0,V5), P_double_divide-{F}(V0,V5,V6), P_double_divide-{F}(V0,V6,V7), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V3,V8,V9), P_double_divide-{F}(V0,V9,V4), P_double_divide-{F}(V4,V0,V10), P_double_divide-{F}(V0,V10,V11) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #967: mergings( V10 == V28, V17 == V21, V28 == V29, V2 == V3, V29 == V11, V26 == V11, V11 == V3, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V3, V32 == V34, V31 == V35, V3 == V33, V33 == V34, V34 == V35, V35 == V27, V27 == V30, V30 == V16; #925 ), references = 1, size of lhs = 17:
% 13.84/14.03 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}(V4,V0,V5), P_double_divide-{F}(V2,V0,V6), P_double_divide-{F}(V5,V6,V7), P_double_divide-{F}(V0,V7,V8), P_double_divide-{F}(V0,V8,V9), P_double_divide-{F}(V9,V0,V8), P_double_divide-{F}(V0,V6,V10), P_double_divide-{F}(V0,V10,V11), P_double_divide-{F}(V11,V0,V12), P_double_divide-{F}(V3,V12,V13), P_double_divide-{F}(V0,V13,V5) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #1008: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V14, V14 == V15; #999 ), references = 1, size of lhs = 11:
% 13.84/14.03 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}(V0,V4,V5), P_double_divide-{F}(V0,V5,V6), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V3,V7,V8), P_double_divide-{F}(V3,V2,V8) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #1015: mergings( V3 == V4, V4 == V5, V6 == V7, V7 == V13, V13 == V5, V5 == V14; #1000 ), references = 1, size of lhs = 11:
% 13.84/14.03 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,V1), P_double_divide-{F}(V2,V0,V4), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V0,V5,V6), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V3,V7,V1) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #1022: mergings( V3 == V4, V4 == V5, V6 == V7, V7 == V15, V15 == V5, V5 == V16; #1001 ), references = 1, size of lhs = 13:
% 13.84/14.03 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,V1), P_double_divide-{F}(V2,V1,V4), P_double_divide-{F}(V5,V1,V4), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V0,V6,V7), P_double_divide-{F}(V0,V7,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V3,V9,V1) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #1031: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V12, V12 == V13; #1024 ), references = 1, size of lhs = 9:
% 13.84/14.03 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}(V0,V4,V5), P_double_divide-{F}(V0,V5,V6), P_double_divide-{F}(V6,V0,V2) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #1042: mergings( V2 == V3; #1040 ), references = 1, size of lhs = 4:
% 13.84/14.03 P_identity-{F}(V0), P_a3-{F}(V1), P_b3-{F}(V2), P_c3-{F}(V3) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #1045: mergings( V1 == V2; #1043 ), references = 1, size of lhs = 3:
% 13.84/14.03 P_identity-{F}(V0), P_a3-{F}(V1), P_b3-{F}(V2) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #1048: mergings( V1 == V2; #1046 ), references = 1, size of lhs = 2:
% 13.84/14.03 P_identity-{F}(V0), P_a3-{F}(V1) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #1051: mergings( V1 == V2; #1049 ), references = 1, size of lhs = 1:
% 13.84/14.03 P_identity-{F}(V0) | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 #1053: exists( #6, #1049 ), references = 1, size of lhs = 0:
% 13.84/14.03 FALSE | FALSE
% 13.84/14.03 (used 0 times, uses = {})
% 13.84/14.03
% 13.84/14.03 number of learnt formulas = 60
% 13.84/14.03
% 13.84/14.03
% 13.84/14.03 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.84/14.03
% 13.84/14.03 randbase = 1
%------------------------------------------------------------------------------