TSTP Solution File: GRP494-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP494-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n004.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 9.56s 9.74s
% Output : Refutation 9.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP494-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n004.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 13:28:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 9.56/9.74 GeoParameters:
% 9.56/9.74
% 9.56/9.74 tptp_input = 1
% 9.56/9.74 tptp_output = 0
% 9.56/9.74 nonempty = 1
% 9.56/9.74 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.56/9.74 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 9.56/9.74
% 9.56/9.74
% 9.56/9.74 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.56/9.74 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.56/9.74
% 9.56/9.74 RuleSystem INPUT:
% 9.56/9.74
% 9.56/9.74 Initial Rules:
% 9.56/9.74 #0: input, references = 12, size of lhs = 9:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V2,V5), P_double_divide-{F}(V3,V4,V6), P_double_divide-{F}(V6,V1,V7), P_double_divide-{F}(V2,V4,V8), P_double_divide-{F}(V7,V8,V9), P_double_divide-{F}(V5,V9,V10), V10 == V3 | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #1: input, references = 5, size of lhs = 6:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_multiply-{F}(V2,V3,V4), P_double_divide-{F}(V3,V2,V5), P_double_divide-{F}(V5,V0,V6), V4 == V6 | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #2: input, references = 6, size of lhs = 5:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V2,V3), P_double_divide-{F}(V2,V0,V4), V3 == V4 | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #3: input, references = 4, size of lhs = 5:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V2,V3), P_double_divide-{F}(V2,V3,V4), V0 == V4 | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #4: input, references = 4, size of lhs = 4:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_a2-{F}(V2), P_multiply-{F}(V0,V2,V2) | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #5: input, references = 23, size of lhs = 2:
% 9.56/9.74 #-{F} V0, #-{F} V1 | EXISTS V2: P_double_divide-{T}(V0,V1,V2)
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #6: input, references = 4, size of lhs = 0:
% 9.56/9.74 FALSE | EXISTS V0: P_identity-{T}(V0)
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #7: input, references = 9, size of lhs = 2:
% 9.56/9.74 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #8: input, references = 6, size of lhs = 1:
% 9.56/9.74 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #9: input, references = 4, size of lhs = 0:
% 9.56/9.74 FALSE | EXISTS V0: P_a2-{T}(V0)
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 number of initial rules = 10
% 9.56/9.74
% 9.56/9.74 Simplifiers:
% 9.56/9.74 #10: unsound, references = 3, size of lhs = 3:
% 9.56/9.74 P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #11: unsound, references = 3, size of lhs = 3:
% 9.56/9.74 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #12: unsound, references = 3, size of lhs = 3:
% 9.56/9.74 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #13: unsound, references = 3, size of lhs = 3:
% 9.56/9.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #14: unsound, references = 3, size of lhs = 3:
% 9.56/9.74 P_a2-{F}(V0), P_a2-{F}(V1), V0 == V1 | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 number of simplifiers = 5
% 9.56/9.74
% 9.56/9.74 Learnt:
% 9.56/9.74 #17: exists( #5, #2 ), references = 3, size of lhs = 2:
% 9.56/9.74 P_identity-{F}(V0), P_inverse-{F}(V0,V1) | P_double_divide-{T}(V0,V0,V1)
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #18: exists( #5, #3 ), references = 3, size of lhs = 4:
% 9.56/9.74 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V1,V2,V3), V0 == V3 | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #21: exists( #5, #18 ), references = 3, size of lhs = 2:
% 9.56/9.74 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_double_divide-{T}(V1,V2,V0)
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #26: exists( #5, #0 ), references = 50, size of lhs = 7:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V2,V4,V5), P_double_divide-{F}(V6,V4,V7), P_double_divide-{F}(V7,V1,V8), P_double_divide-{F}(V8,V5,V9) | P_double_divide-{T}(V3,V9,V6)
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #32: exists( #8, #30 ), references = 1, size of lhs = 1:
% 9.56/9.74 P_identity-{F}(V0) | P_inverse-{T}(V0,V0)
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #35: exists( #5, #1 ), references = 9, size of lhs = 4:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_multiply-{F}(V2,V3,V4), P_double_divide-{F}(V3,V2,V5) | P_double_divide-{T}(V5,V0,V4)
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #39: mergings( V4 == V5; #37 ), references = 1, size of lhs = 4:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V2,V3), P_double_divide-{F}(V4,V5,V2) | P_multiply-{T}(V5,V4,V3)
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #42: exists( #5, #2 ), references = 2, size of lhs = 3:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V2,V3) | P_double_divide-{T}(V2,V0,V3)
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #56: mergings( V3 == V5, V4 == V0, V0 == V5; #52 ), references = 3, size of lhs = 13:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V3,V0,V2), P_double_divide-{F}(V1,V4,V5), P_double_divide-{F}(V4,V6,V7), P_double_divide-{F}(V8,V7,V0), P_double_divide-{F}(V9,V0,V8), P_double_divide-{F}(V10,V6,V9), P_double_divide-{F}(V10,V5,V11), P_double_divide-{F}(V4,V12,V11), P_double_divide-{F}(V13,V12,V3), V10 == V13 | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #59: mergings( V8 == V10; #57 ), references = 3, size of lhs = 10:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V3,V0,V2), P_double_divide-{F}(V1,V4,V5), P_double_divide-{F}(V6,V5,V3), V4 == V6, P_double_divide-{F}(V4,V7,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V9,V8,V0) | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #61: exists( #7, #1 ), references = 1, size of lhs = 4:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V4,V5,V2) | P_multiply-{T}(V5,V4,V3)
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #71: mergings( V0 == V4, V3 == V5; #68 ), references = 3, size of lhs = 11:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V2,V4,V5), P_double_divide-{F}(V4,V6,V7), P_double_divide-{F}(V8,V7,V1), P_double_divide-{F}(V9,V1,V8), P_double_divide-{F}(V10,V6,V9), P_double_divide-{F}(V10,V5,V11), P_double_divide-{F}(V3,V11,V12), V12 == V0 | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #99: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V9, V8 == V10, V9 == V11, V10 == V12; #88 ), references = 5, size of lhs = 20:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V0,V3,V4), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V2,V6,V0), P_double_divide-{F}(V7,V6,V8), P_double_divide-{F}(V8,V1,V9), P_double_divide-{F}(V10,V1,V9), P_double_divide-{F}(V11,V12,V9), P_double_divide-{F}(V0,V13,V14), P_double_divide-{F}(V13,V15,V0), P_double_divide-{F}(V16,V15,V10), P_double_divide-{F}(V16,V1,V17), P_double_divide-{F}(V17,V7,V18), P_double_divide-{F}(V19,V18,V20), P_double_divide-{F}(V20,V1,V21), P_double_divide-{F}(V21,V14,V22), P_double_divide-{F}(V5,V22,V23), V23 == V19 | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #108: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V9, V8 == V10, V9 == V11, V10 == V12; #89 ), references = 2, size of lhs = 22:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V0,V3,V4), P_double_divide-{F}(V2,V5,V0), P_double_divide-{F}(V6,V5,V7), P_double_divide-{F}(V7,V1,V8), P_double_divide-{F}(V9,V1,V8), P_double_divide-{F}(V10,V11,V8), P_double_divide-{F}(V0,V12,V13), P_double_divide-{F}(V12,V14,V0), P_double_divide-{F}(V15,V14,V9), P_double_divide-{F}(V15,V1,V16), P_double_divide-{F}(V16,V6,V17), P_double_divide-{F}(V18,V13,V1), P_double_divide-{F}(V19,V1,V18), P_double_divide-{F}(V20,V17,V19), P_double_divide-{F}(V0,V21,V22), P_double_divide-{F}(V21,V4,V23), P_double_divide-{F}(V20,V23,V24), P_double_divide-{F}(V22,V24,V25), V25 == V0 | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #117: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V9, V8 == V10, V9 == V11, V10 == V11; #90 ), references = 2, size of lhs = 24:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V1,V4,V0), P_double_divide-{F}(V5,V4,V6), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V8,V0,V7), P_double_divide-{F}(V9,V10,V7), P_double_divide-{F}(V0,V11,V12), P_double_divide-{F}(V11,V13,V0), P_double_divide-{F}(V14,V13,V8), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V15,V5,V16), P_double_divide-{F}(V0,V17,V18), P_double_divide-{F}(V17,V3,V19), P_double_divide-{F}(V20,V19,V12), P_double_divide-{F}(V21,V0,V18), P_double_divide-{F}(V22,V16,V21), V20 == V22, P_double_divide-{F}(V3,V23,V24), P_double_divide-{F}(V20,V23,V25), P_double_divide-{F}(V25,V0,V26), P_double_divide-{F}(V26,V24,V0) | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #138: mergings( V3 == V4, V0 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V9, V8 == V10, V9 == V11, V10 == V12, V11 == V13, V12 == V14; #125 ), references = 1, size of lhs = 26:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V1,V0), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V4,V3,V1), P_double_divide-{F}(V5,V1,V4), P_double_divide-{F}(V6,V1,V7), P_double_divide-{F}(V8,V1,V7), P_double_divide-{F}(V6,V9,V10), P_double_divide-{F}(V10,V1,V11), P_double_divide-{F}(V11,V12,V1), P_double_divide-{F}(V13,V9,V12), P_double_divide-{F}(V13,V14,V15), P_double_divide-{F}(V5,V14,V16), P_double_divide-{F}(V16,V1,V17), P_double_divide-{F}(V17,V15,V18), P_double_divide-{F}(V6,V19,V18), P_double_divide-{F}(V19,V20,V8), P_double_divide-{F}(V21,V20,V0), P_double_divide-{F}(V0,V21,V22), P_double_divide-{F}(V0,V22,V23), P_double_divide-{F}(V24,V23,V1), P_double_divide-{F}(V0,V24,V25), P_double_divide-{F}(V25,V6,V26), V26 == V0, P_double_divide-{F}(V27,V28,V7) | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #164: mergings( V0 == V4, V3 == V5; #159 ), references = 2, size of lhs = 22:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V1,V0), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V4,V1,V5), P_double_divide-{F}(V6,V1,V5), P_double_divide-{F}(V4,V7,V8), P_double_divide-{F}(V8,V1,V9), P_double_divide-{F}(V9,V10,V1), P_double_divide-{F}(V11,V7,V10), P_double_divide-{F}(V0,V12,V13), P_double_divide-{F}(V0,V13,V14), P_double_divide-{F}(V0,V14,V15), P_double_divide-{F}(V12,V16,V0), P_double_divide-{F}(V17,V16,V6), P_double_divide-{F}(V4,V17,V18), P_double_divide-{F}(V19,V20,V5), P_double_divide-{F}(V21,V18,V22), P_double_divide-{F}(V22,V1,V23), P_double_divide-{F}(V23,V3,V24), P_double_divide-{F}(V15,V24,V25), V25 == V21 | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #167: mergings( V0 == V4, V3 == V5; #160 ), references = 1, size of lhs = 24:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V1,V0), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V4,V3,V1), P_double_divide-{F}(V5,V1,V4), P_double_divide-{F}(V6,V1,V7), P_double_divide-{F}(V8,V1,V7), P_double_divide-{F}(V6,V9,V10), P_double_divide-{F}(V10,V1,V11), P_double_divide-{F}(V11,V12,V1), P_double_divide-{F}(V13,V9,V12), P_double_divide-{F}(V0,V14,V15), P_double_divide-{F}(V0,V15,V16), P_double_divide-{F}(V14,V17,V0), P_double_divide-{F}(V18,V17,V8), P_double_divide-{F}(V6,V18,V19), P_double_divide-{F}(V20,V19,V5), P_double_divide-{F}(V21,V22,V7), P_double_divide-{F}(V0,V23,V24), P_double_divide-{F}(V23,V16,V25), P_double_divide-{F}(V20,V25,V26), P_double_divide-{F}(V24,V26,V27), V27 == V0 | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #170: mergings( V0 == V4, V3 == V4; #161 ), references = 1, size of lhs = 26:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V5,V0,V4), P_double_divide-{F}(V3,V6,V7), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V8,V9,V0), P_double_divide-{F}(V10,V6,V9), P_double_divide-{F}(V0,V11,V12), P_double_divide-{F}(V0,V12,V13), P_double_divide-{F}(V11,V14,V0), P_double_divide-{F}(V15,V14,V5), P_double_divide-{F}(V3,V15,V16), P_double_divide-{F}(V17,V18,V4), P_double_divide-{F}(V0,V19,V20), P_double_divide-{F}(V19,V13,V21), P_double_divide-{F}(V22,V21,V2), P_double_divide-{F}(V23,V0,V20), P_double_divide-{F}(V24,V16,V23), V22 == V24, P_double_divide-{F}(V13,V25,V26), P_double_divide-{F}(V22,V25,V27), P_double_divide-{F}(V27,V0,V28), P_double_divide-{F}(V28,V26,V0) | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #182: mergings( V2 == V3, V3 == V4; #179 ), references = 4, size of lhs = 7:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V3,V0,V2), P_double_divide-{F}(V1,V4,V5), P_double_divide-{F}(V6,V5,V3), V4 == V6 | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #199: mergings( V3 == V4, V4 == V5, V5 == V6, V0 == V7, V7 == V8, V8 == V9, V6 == V9, V9 == V10, V10 == V24, V24 == V18; #188 ), references = 1, size of lhs = 17:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V2,V1), P_double_divide-{F}(V3,V2,V0), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V1,V1,V5), P_double_divide-{F}(V0,V6,V4), P_double_divide-{F}(V0,V7,V6), P_double_divide-{F}(V1,V8,V9), P_double_divide-{F}(V10,V9,V0), P_double_divide-{F}(V11,V0,V10), P_double_divide-{F}(V12,V8,V11), P_double_divide-{F}(V12,V5,V13), P_double_divide-{F}(V1,V13,V14), P_double_divide-{F}(V0,V14,V15), P_double_divide-{F}(V7,V15,V16), P_double_divide-{F}(V12,V16,V17) | P_double_divide-{T}(V0,V1,V17)
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #256: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V8; #249 ), references = 1, size of lhs = 12:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V0,V4,V3), P_double_divide-{F}(V2,V5,V0), P_double_divide-{F}(V4,V6,V0), P_double_divide-{F}(V7,V5,V8), P_double_divide-{F}(V8,V1,V9), P_double_divide-{F}(V10,V1,V9), P_double_divide-{F}(V11,V6,V10), V7 == V11, P_double_divide-{F}(V12,V13,V9) | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #261: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V8; #250 ), references = 1, size of lhs = 23:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V2,V3,V0), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V4,V6,V0), P_double_divide-{F}(V0,V7,V5), P_double_divide-{F}(V0,V8,V7), P_double_divide-{F}(V0,V9,V8), P_double_divide-{F}(V9,V10,V0), P_double_divide-{F}(V11,V6,V12), P_double_divide-{F}(V12,V1,V13), P_double_divide-{F}(V14,V1,V13), P_double_divide-{F}(V15,V16,V13), P_double_divide-{F}(V17,V10,V18), P_double_divide-{F}(V18,V1,V19), P_double_divide-{F}(V20,V1,V19), P_double_divide-{F}(V21,V3,V20), P_double_divide-{F}(V21,V1,V22), P_double_divide-{F}(V22,V17,V23), P_double_divide-{F}(V24,V23,V14), V11 == V24, P_double_divide-{F}(V25,V26,V19) | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #266: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V8; #251 ), references = 1, size of lhs = 25:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V1,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V0,V3,V4), P_double_divide-{F}(V3,V5,V0), P_double_divide-{F}(V0,V6,V4), P_double_divide-{F}(V0,V7,V6), P_double_divide-{F}(V0,V8,V7), P_double_divide-{F}(V8,V9,V0), P_double_divide-{F}(V10,V5,V11), P_double_divide-{F}(V11,V1,V12), P_double_divide-{F}(V13,V1,V12), P_double_divide-{F}(V14,V15,V12), P_double_divide-{F}(V16,V1,V17), P_double_divide-{F}(V18,V1,V17), P_double_divide-{F}(V19,V9,V18), P_double_divide-{F}(V16,V19,V20), P_double_divide-{F}(V21,V20,V13), V10 == V21, P_double_divide-{F}(V16,V22,V23), P_double_divide-{F}(V23,V1,V24), P_double_divide-{F}(V24,V25,V1), P_double_divide-{F}(V26,V22,V25), P_double_divide-{F}(V27,V28,V17) | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #279: mergings( V0 == V4, V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V9; #270 ), references = 8, size of lhs = 14:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V0,V4,V3), P_double_divide-{F}(V4,V5,V0), P_double_divide-{F}(V2,V6,V0), P_double_divide-{F}(V7,V1,V8), P_double_divide-{F}(V9,V1,V8), P_double_divide-{F}(V10,V5,V9), P_double_divide-{F}(V7,V11,V12), P_double_divide-{F}(V12,V1,V13), P_double_divide-{F}(V13,V14,V6), P_double_divide-{F}(V15,V11,V14), P_double_divide-{F}(V16,V17,V8) | P_double_divide-{T}(V0,V15,V10)
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #286: mergings( V0 == V4, V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V9; #271 ), references = 1, size of lhs = 25:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V2,V3,V0), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V4,V6,V0), P_double_divide-{F}(V0,V7,V5), P_double_divide-{F}(V0,V8,V7), P_double_divide-{F}(V0,V9,V8), P_double_divide-{F}(V9,V10,V0), P_double_divide-{F}(V11,V1,V12), P_double_divide-{F}(V13,V1,V12), P_double_divide-{F}(V11,V14,V15), P_double_divide-{F}(V15,V1,V16), P_double_divide-{F}(V16,V17,V6), P_double_divide-{F}(V18,V14,V17), P_double_divide-{F}(V19,V20,V12), P_double_divide-{F}(V21,V10,V22), P_double_divide-{F}(V22,V1,V23), P_double_divide-{F}(V24,V1,V23), P_double_divide-{F}(V25,V3,V24), P_double_divide-{F}(V25,V1,V26), P_double_divide-{F}(V26,V21,V27), P_double_divide-{F}(V28,V27,V13), P_double_divide-{F}(V29,V30,V23) | P_double_divide-{T}(V0,V18,V28)
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #293: mergings( V0 == V4, V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V9; #272 ), references = 1, size of lhs = 27:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V1,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V0,V3,V4), P_double_divide-{F}(V3,V5,V0), P_double_divide-{F}(V0,V6,V4), P_double_divide-{F}(V0,V7,V6), P_double_divide-{F}(V0,V8,V7), P_double_divide-{F}(V8,V9,V0), P_double_divide-{F}(V10,V1,V11), P_double_divide-{F}(V12,V1,V11), P_double_divide-{F}(V10,V13,V14), P_double_divide-{F}(V14,V1,V15), P_double_divide-{F}(V15,V16,V5), P_double_divide-{F}(V17,V13,V16), P_double_divide-{F}(V18,V19,V11), P_double_divide-{F}(V20,V1,V21), P_double_divide-{F}(V22,V1,V21), P_double_divide-{F}(V23,V9,V22), P_double_divide-{F}(V20,V23,V24), P_double_divide-{F}(V25,V24,V12), P_double_divide-{F}(V20,V26,V27), P_double_divide-{F}(V27,V1,V28), P_double_divide-{F}(V28,V29,V1), P_double_divide-{F}(V30,V26,V29), P_double_divide-{F}(V31,V32,V21) | P_double_divide-{T}(V0,V17,V25)
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #326: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V9, V8 == V10, V9 == V11, V10 == V11; #317 ), references = 2, size of lhs = 18:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V0,V3,V4), P_double_divide-{F}(V1,V5,V0), P_double_divide-{F}(V6,V0,V4), P_double_divide-{F}(V7,V5,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V10,V0,V9), P_double_divide-{F}(V11,V12,V9), P_double_divide-{F}(V0,V13,V14), P_double_divide-{F}(V15,V14,V6), P_double_divide-{F}(V13,V16,V0), P_double_divide-{F}(V17,V16,V10), P_double_divide-{F}(V17,V0,V18), P_double_divide-{F}(V18,V7,V19), V19 == V15 | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #341: mergings( V0 == V4, V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V9, V8 == V10, V9 == V11, V10 == V12, V11 == V12, V12 == V13, V13 == V14; #328 ), references = 1, size of lhs = 18:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V0,V2), P_double_divide-{F}(V1,V4,V5), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V6,V7,V0), P_double_divide-{F}(V8,V4,V7), P_double_divide-{F}(V0,V9,V10), P_double_divide-{F}(V0,V10,V11), P_double_divide-{F}(V0,V11,V12), P_double_divide-{F}(V9,V13,V0), P_double_divide-{F}(V14,V13,V3), P_double_divide-{F}(V1,V14,V15), P_double_divide-{F}(V16,V0,V12), P_double_divide-{F}(V17,V0,V16), V15 == V17, P_double_divide-{F}(V18,V19,V2) | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #355: mergings( V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V9, V8 == V10, V9 == V11, V10 == V12, V11 == V13, V12 == V13, V13 == V14, V14 == V15; #342 ), references = 9, size of lhs = 16:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V0,V2), P_double_divide-{F}(V1,V4,V5), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V6,V7,V0), P_double_divide-{F}(V8,V4,V7), P_double_divide-{F}(V0,V9,V10), P_double_divide-{F}(V0,V10,V11), P_double_divide-{F}(V0,V11,V12), P_double_divide-{F}(V9,V13,V0), P_double_divide-{F}(V14,V13,V3), P_double_divide-{F}(V15,V0,V12), P_double_divide-{F}(V16,V0,V15), P_double_divide-{F}(V17,V18,V2) | P_double_divide-{T}(V1,V14,V16)
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #423: mergings( V3 == V7, V7 == V8, V8 == V9, V23 == V21, V0 == V20, V15 == V17, V4 == V20, V20 == V5, V5 == V6, V6 == V9, V9 == V21, V21 == V10, V34 == V10, V12 == V10, V13 == V10, V10 == V11, V35 == V22, V11 == V22; #402 ), references = 1, size of lhs = 18:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V1,V3,V0), P_double_divide-{F}(V1,V1,V4), P_double_divide-{F}(V5,V1,V4), P_double_divide-{F}(V6,V0,V5), P_double_divide-{F}(V7,V0,V6), P_double_divide-{F}(V0,V8,V7), P_double_divide-{F}(V1,V9,V10), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V11,V10,V0), P_double_divide-{F}(V1,V12,V13), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V14,V15,V0), P_double_divide-{F}(V16,V12,V15), P_double_divide-{F}(V17,V18,V2), P_double_divide-{F}(V19,V20,V0) | P_double_divide-{T}(V0,V1,V8)
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #442: mergings( V3 == V7, V7 == V8, V8 == V9, V24 == V22, V0 == V21, V16 == V18, V4 == V21, V21 == V5, V5 == V6, V6 == V9, V9 == V22, V22 == V10, V11 == V10, V38 == V10, V13 == V10, V14 == V10, V10 == V12, V12 == V23; #403 ), references = 1, size of lhs = 21:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V1,V3,V0), P_double_divide-{F}(V1,V1,V4), P_double_divide-{F}(V5,V1,V4), P_double_divide-{F}(V6,V0,V5), P_double_divide-{F}(V7,V0,V6), P_double_divide-{F}(V1,V8,V9), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V10,V9,V0), P_double_divide-{F}(V1,V11,V12), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V13,V14,V0), P_double_divide-{F}(V15,V11,V14), P_double_divide-{F}(V16,V17,V2), P_double_divide-{F}(V18,V19,V0), P_double_divide-{F}(V0,V20,V21), P_double_divide-{F}(V20,V7,V22), P_double_divide-{F}(V0,V22,V23), P_double_divide-{F}(V21,V23,V24) | P_double_divide-{T}(V0,V1,V24)
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #461: mergings( V3 == V7, V7 == V8, V8 == V9, V23 == V21, V0 == V20, V15 == V17, V4 == V20, V20 == V5, V5 == V6, V6 == V9, V9 == V21, V21 == V10, V34 == V10, V12 == V10, V13 == V10, V10 == V11, V35 == V22, V11 == V22; #404 ), references = 1, size of lhs = 21:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V1,V3,V0), P_double_divide-{F}(V1,V1,V4), P_double_divide-{F}(V5,V1,V4), P_double_divide-{F}(V6,V0,V5), P_double_divide-{F}(V7,V0,V6), P_double_divide-{F}(V0,V8,V7), P_double_divide-{F}(V1,V9,V10), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V11,V10,V0), P_double_divide-{F}(V1,V12,V13), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V14,V15,V0), P_double_divide-{F}(V16,V12,V15), P_double_divide-{F}(V17,V18,V2), P_double_divide-{F}(V19,V20,V0), P_double_divide-{F}(V8,V21,V22), P_double_divide-{F}(V22,V0,V23), P_double_divide-{F}(V23,V22,V0) | P_double_divide-{T}(V0,V1,V8)
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #526: mergings( V3 == V7, V21 == V22, V4 == V0, V0 == V5, V5 == V6, V6 == V7, V7 == V10, V10 == V8, V9 == V8, V8 == V11, V11 == V16, V12 == V16, V13 == V16, V15 == V16, V16 == V14, V14 == V17; #507 ), references = 1, size of lhs = 13:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V1,V0), P_double_divide-{F}(V1,V4,V5), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V6,V5,V0), P_double_divide-{F}(V1,V7,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V9,V10,V0), P_double_divide-{F}(V11,V7,V10), P_double_divide-{F}(V12,V13,V2), P_double_divide-{F}(V14,V15,V0) | P_double_divide-{T}(V0,V1,V3)
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #543: mergings( V3 == V7, V20 == V21, V4 == V0, V0 == V5, V5 == V6, V6 == V7, V7 == V10, V10 == V8, V9 == V8, V8 == V11, V11 == V16, V12 == V16, V13 == V16, V15 == V16, V16 == V14, V14 == V17; #508 ), references = 1, size of lhs = 13:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V1,V0), P_double_divide-{F}(V1,V4,V5), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V6,V5,V0), P_double_divide-{F}(V1,V7,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V9,V10,V0), P_double_divide-{F}(V11,V7,V10), P_double_divide-{F}(V12,V13,V2), P_double_divide-{F}(V14,V15,V0) | P_double_divide-{T}(V0,V1,V3)
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #563: mergings( V3 == V7, V7 == V8, V0 == V9, V24 == V25, V4 == V9, V9 == V5, V5 == V6, V6 == V8, V20 == V21, V8 == V10, V10 == V18, V11 == V18, V12 == V18, V14 == V18, V18 == V13, V16 == V13, V17 == V13, V13 == V15, V15 == V19; #509 ), references = 1, size of lhs = 14:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V2,V0), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V2,V4,V5), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V6,V5,V0), P_double_divide-{F}(V2,V7,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V9,V10,V0), P_double_divide-{F}(V11,V7,V10), P_double_divide-{F}(V12,V13,V3), P_double_divide-{F}(V14,V15,V0), P_double_divide-{F}(V16,V17,V3) | P_double_divide-{T}(V0,V2,V1)
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #580: mergings( V3 == V5, V4 == V5; #577 ), references = 2, size of lhs = 17:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V0,V3,V4), P_double_divide-{F}(V1,V5,V0), P_double_divide-{F}(V0,V5,V6), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V8,V0,V4), P_double_divide-{F}(V9,V0,V7), P_double_divide-{F}(V10,V11,V7), P_double_divide-{F}(V0,V12,V13), P_double_divide-{F}(V14,V13,V8), P_double_divide-{F}(V12,V15,V0), P_double_divide-{F}(V16,V15,V9), P_double_divide-{F}(V16,V0,V17), P_double_divide-{F}(V18,V19,V17) | P_multiply-{T}(V19,V18,V14)
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #620: mergings( V3 == V4; #617 ), references = 1, size of lhs = 9:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V2,V3), P_double_divide-{F}(V4,V3,V1), V4 == V0, P_double_divide-{F}(V2,V5,V6), P_double_divide-{F}(V4,V5,V7), P_double_divide-{F}(V7,V1,V8), P_double_divide-{F}(V8,V6,V1) | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #622: mergings( V3 == V4; #618 ), references = 1, size of lhs = 13:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V1,V3), P_double_divide-{F}(V4,V5,V2), V4 == V0, P_double_divide-{F}(V6,V5,V7), P_double_divide-{F}(V3,V7,V8), P_double_divide-{F}(V6,V9,V10), P_double_divide-{F}(V11,V10,V8), P_double_divide-{F}(V9,V12,V13), P_double_divide-{F}(V11,V12,V14), P_double_divide-{F}(V14,V1,V15), P_double_divide-{F}(V15,V13,V1) | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #648: mergings( V3 == V7, V7 == V8, V29 == V30, V4 == V0, V0 == V5, V5 == V6, V6 == V8, V8 == V15, V9 == V15, V10 == V15, V12 == V15, V15 == V17, V17 == V11, V11 == V16, V16 == V18; #632 ), references = 1, size of lhs = 24:
% 9.56/9.74 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,V2,V0), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V6,V0,V5), P_double_divide-{F}(V1,V7,V6), P_double_divide-{F}(V8,V7,V0), P_double_divide-{F}(V0,V8,V9), P_double_divide-{F}(V0,V9,V10), P_double_divide-{F}(V0,V10,V11), P_double_divide-{F}(V11,V4,V12), V12 == V1, P_double_divide-{F}(V1,V13,V14), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V15,V14,V0), P_double_divide-{F}(V1,V16,V17), P_double_divide-{F}(V17,V0,V18), P_double_divide-{F}(V18,V19,V0), P_double_divide-{F}(V20,V16,V19), P_double_divide-{F}(V21,V22,V3), P_double_divide-{F}(V23,V24,V0), P_double_divide-{F}(V25,V26,V5) | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #680: mergings( V0 == V3, V3 == V11, V11 == V12, V4 == V12, V5 == V12, V6 == V12, V9 == V10, V12 == V7, V8 == V7, V7 == V22, V14 == V22, V15 == V22, V17 == V22, V22 == V16, V18 == V16, V19 == V16, V21 == V16, V16 == V20; #661 ), references = 1, size of lhs = 15:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a2-{F}(V1), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V0,V2), P_double_divide-{F}(V1,V4,V5), P_double_divide-{F}(V3,V4,V6), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V7,V5,V0), P_double_divide-{F}(V1,V8,V9), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V10,V11,V0), P_double_divide-{F}(V12,V8,V11), P_double_divide-{F}(V13,V14,V2), P_double_divide-{F}(V15,V16,V0) | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #703: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V11 == V16, V12 == V10, V2 == V10, V10 == V16, V14 == V16, V15 == V16, V16 == V13, V13 == V21, V17 == V21, V18 == V21, V20 == V21, V21 == V19; #683 ), references = 1, size of lhs = 4:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a2-{F}(V1), P_double_divide-{F}(V2,V3,V0) | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #724: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V10 == V15, V11 == V9, V1 == V9, V9 == V15, V13 == V15, V14 == V15, V15 == V12, V12 == V20, V16 == V20, V17 == V20, V19 == V20, V20 == V18; #704 ), references = 1, size of lhs = 3:
% 9.56/9.74 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V2,V0) | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 #728: exists( #6, #726 ), references = 1, size of lhs = 0:
% 9.56/9.74 FALSE | FALSE
% 9.56/9.74 (used 0 times, uses = {})
% 9.56/9.74
% 9.56/9.74 number of learnt formulas = 44
% 9.56/9.74
% 9.56/9.74
% 9.56/9.74 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.56/9.74
% 9.56/9.74 randbase = 1
%------------------------------------------------------------------------------