TSTP Solution File: GRP554-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP554-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:04:05 EDT 2022
% Result : Unsatisfiable 13.56s 13.74s
% Output : Refutation 13.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP554-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n012.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 13:43:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 13.56/13.74 GeoParameters:
% 13.56/13.74
% 13.56/13.74 tptp_input = 1
% 13.56/13.74 tptp_output = 0
% 13.56/13.74 nonempty = 1
% 13.56/13.74 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.56/13.74 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 13.56/13.74
% 13.56/13.74
% 13.56/13.74 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.56/13.74 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.56/13.74
% 13.56/13.74 RuleSystem INPUT:
% 13.56/13.74
% 13.56/13.74 Initial Rules:
% 13.56/13.74 #0: input, references = 10, size of lhs = 6:
% 13.56/13.74 P_divide-{F}(V0,V2,V3), P_divide-{F}(V1,V3,V4), P_inverse-{F}(V4,V5), P_divide-{F}(V0,V5,V6), P_divide-{F}(V6,V2,V7), V7 == V1 | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #1: input, references = 6, size of lhs = 4:
% 13.56/13.74 P_multiply-{F}(V0,V1,V2), P_inverse-{F}(V1,V3), P_divide-{F}(V0,V3,V4), V2 == V4 | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #2: input, references = 7, size of lhs = 5:
% 13.56/13.74 P_b2-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_a2-{F}(V3), P_multiply-{F}(V2,V3,V3) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #3: input, references = 26, size of lhs = 2:
% 13.56/13.74 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #4: input, references = 24, size of lhs = 1:
% 13.56/13.74 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #5: input, references = 20, size of lhs = 2:
% 13.56/13.74 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #6: input, references = 4, size of lhs = 0:
% 13.56/13.74 FALSE | EXISTS V0: P_b2-{T}(V0)
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #7: input, references = 4, size of lhs = 0:
% 13.56/13.74 FALSE | EXISTS V0: P_a2-{T}(V0)
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 number of initial rules = 8
% 13.56/13.74
% 13.56/13.74 Simplifiers:
% 13.56/13.74 #8: unsound, references = 3, size of lhs = 3:
% 13.56/13.74 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #9: unsound, references = 3, size of lhs = 3:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #10: unsound, references = 3, size of lhs = 3:
% 13.56/13.74 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #11: unsound, references = 3, size of lhs = 3:
% 13.56/13.74 P_b2-{F}(V0), P_b2-{F}(V1), V0 == V1 | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #12: unsound, references = 3, size of lhs = 3:
% 13.56/13.74 P_a2-{F}(V0), P_a2-{F}(V1), V0 == V1 | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 number of simplifiers = 5
% 13.56/13.74
% 13.56/13.74 Learnt:
% 13.56/13.74 #14: exists( #3, #1 ), references = 83, size of lhs = 2:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_multiply-{F}(V2,V0,V3) | P_divide-{T}(V2,V1,V3)
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #18: exists( #3, #0 ), references = 32, size of lhs = 4:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V3), P_divide-{F}(V2,V4,V5), P_divide-{F}(V6,V5,V0) | P_divide-{T}(V3,V4,V6)
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #28: exists( #5, #26 ), references = 4, size of lhs = 8:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V4), P_divide-{F}(V3,V5,V2), P_divide-{F}(V6,V4,V7), P_divide-{F}(V6,V8,V9), P_divide-{F}(V10,V9,V5), P_divide-{F}(V7,V8,V11) | P_multiply-{T}(V10,V0,V11)
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #35: exists( #5, #1 ), references = 2, size of lhs = 2:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V3) | P_multiply-{T}(V2,V0,V3)
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #43: mergings( V4 == V5; #41 ), references = 1, size of lhs = 14:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_inverse-{F}(V4,V5), P_divide-{F}(V4,V6,V2), P_divide-{F}(V7,V5,V8), P_divide-{F}(V7,V9,V10), P_divide-{F}(V11,V10,V6), P_divide-{F}(V11,V12,V13), P_divide-{F}(V14,V13,V3), P_divide-{F}(V14,V12,V15), P_inverse-{F}(V16,V12), P_divide-{F}(V17,V14,V16), V15 == V17 | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #45: exists( #4, #41 ), references = 9, size of lhs = 11:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V3), P_divide-{F}(V2,V4,V5), P_divide-{F}(V6,V5,V7), P_divide-{F}(V0,V7,V8), P_divide-{F}(V6,V9,V10), P_divide-{F}(V11,V10,V8), P_divide-{F}(V11,V9,V12), P_inverse-{F}(V13,V9), P_divide-{F}(V14,V11,V13), V12 == V14 | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #56: exists( #5, #53 ), references = 6, size of lhs = 10:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_divide-{F}(V4,V3,V5), P_divide-{F}(V4,V6,V7), P_divide-{F}(V8,V7,V1), P_divide-{F}(V8,V9,V1), P_divide-{F}(V2,V9,V10), P_inverse-{F}(V11,V9), P_divide-{F}(V12,V2,V11), V10 == V12 | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #73: mergings( V7 == V9; #70 ), references = 3, size of lhs = 7:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_divide-{F}(V4,V5,V2), P_divide-{F}(V6,V5,V3), V4 == V6, P_divide-{F}(V7,V8,V5) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #76: mergings( V3 == V6; #74 ), references = 8, size of lhs = 4:
% 13.56/13.74 P_divide-{F}(V0,V1,V2), P_divide-{F}(V3,V2,V4), P_divide-{F}(V5,V2,V4), V3 == V5 | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #97: mergings( V14 == V16, V3 == V5; #92 ), references = 1, size of lhs = 15:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_inverse-{F}(V4,V1), P_inverse-{F}(V5,V1), P_divide-{F}(V3,V6,V4), P_inverse-{F}(V7,V1), P_inverse-{F}(V8,V9), P_divide-{F}(V10,V8,V5), P_divide-{F}(V8,V11,V12), P_divide-{F}(V13,V12,V6), P_divide-{F}(V13,V9,V14), P_divide-{F}(V13,V15,V15), P_divide-{F}(V15,V12,V7), P_inverse-{F}(V16,V15) | P_multiply-{T}(V8,V0,V10)
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #100: mergings( V13 == V15, V3 == V5; #93 ), references = 1, size of lhs = 16:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_inverse-{F}(V4,V1), P_inverse-{F}(V5,V1), P_divide-{F}(V3,V6,V4), P_inverse-{F}(V7,V1), P_divide-{F}(V8,V9,V5), P_divide-{F}(V9,V10,V11), P_divide-{F}(V12,V11,V6), P_divide-{F}(V13,V11,V7), P_divide-{F}(V12,V13,V14), P_divide-{F}(V9,V13,V15), P_divide-{F}(V16,V14,V15), P_inverse-{F}(V16,V17), P_divide-{F}(V12,V17,V18) | P_multiply-{T}(V9,V0,V8)
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #124: exists( #5, #120 ), references = 8, size of lhs = 12:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V4), P_inverse-{F}(V5,V6), P_divide-{F}(V7,V5,V8), P_divide-{F}(V9,V8,V2), P_inverse-{F}(V9,V10), P_divide-{F}(V11,V10,V4), P_divide-{F}(V5,V10,V12), P_divide-{F}(V11,V13,V4), P_divide-{F}(V14,V6,V15), P_divide-{F}(V14,V16,V13) | P_multiply-{T}(V7,V0,V12)
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #125: exists( #5, #121 ), references = 12, size of lhs = 13:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V4), P_divide-{F}(V5,V4,V6), P_divide-{F}(V5,V7,V8), P_divide-{F}(V9,V8,V10), P_divide-{F}(V3,V10,V11), P_inverse-{F}(V12,V13), P_divide-{F}(V9,V13,V14), P_divide-{F}(V15,V14,V11), P_divide-{F}(V15,V13,V16), P_divide-{F}(V12,V17,V2), P_divide-{F}(V18,V15,V17) | P_multiply-{T}(V18,V0,V16)
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #132: exists( #4, #128 ), references = 2, size of lhs = 17:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_divide-{F}(V4,V2,V5), P_inverse-{F}(V4,V6), P_divide-{F}(V7,V5,V8), P_inverse-{F}(V7,V9), P_divide-{F}(V10,V9,V1), P_divide-{F}(V2,V9,V11), P_inverse-{F}(V12,V11), P_divide-{F}(V13,V4,V8), V11 == V13, P_divide-{F}(V10,V14,V1), P_divide-{F}(V4,V15,V11), P_divide-{F}(V16,V3,V17), P_divide-{F}(V16,V18,V14), P_divide-{F}(V19,V6,V20), P_divide-{F}(V19,V21,V15) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #149: exists( #4, #143 ), references = 1, size of lhs = 15:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_divide-{F}(V4,V2,V5), P_divide-{F}(V6,V5,V7), P_inverse-{F}(V6,V8), P_divide-{F}(V9,V8,V1), P_divide-{F}(V2,V8,V10), P_divide-{F}(V9,V11,V1), P_divide-{F}(V12,V3,V13), P_divide-{F}(V12,V14,V11), P_divide-{F}(V4,V15,V16), P_divide-{F}(V17,V16,V7), P_divide-{F}(V18,V17,V19), P_divide-{F}(V20,V17,V19), V18 == V20 | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #150: exists( #4, #144 ), references = 1, size of lhs = 18:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_divide-{F}(V4,V2,V5), P_divide-{F}(V6,V5,V7), P_inverse-{F}(V6,V8), P_divide-{F}(V9,V8,V1), P_divide-{F}(V2,V8,V10), P_divide-{F}(V9,V11,V1), P_divide-{F}(V12,V3,V13), P_divide-{F}(V12,V14,V11), P_inverse-{F}(V15,V16), P_inverse-{F}(V17,V16), P_inverse-{F}(V18,V16), P_divide-{F}(V19,V20,V17), P_divide-{F}(V21,V20,V18), V19 == V21, P_divide-{F}(V20,V22,V7), P_divide-{F}(V4,V23,V22) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #183: mergings( V11 == V13; #179 ), references = 2, size of lhs = 30:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_divide-{F}(V4,V2,V5), P_divide-{F}(V6,V5,V7), P_inverse-{F}(V6,V8), P_divide-{F}(V9,V8,V1), P_divide-{F}(V2,V8,V10), P_inverse-{F}(V11,V10), P_divide-{F}(V9,V12,V1), P_inverse-{F}(V13,V10), P_inverse-{F}(V14,V10), P_divide-{F}(V15,V3,V16), P_divide-{F}(V15,V17,V12), P_inverse-{F}(V18,V19), P_inverse-{F}(V20,V21), P_divide-{F}(V4,V20,V22), P_divide-{F}(V23,V22,V7), P_divide-{F}(V24,V23,V13), P_inverse-{F}(V24,V25), P_divide-{F}(V26,V25,V19), P_divide-{F}(V20,V25,V27), P_inverse-{F}(V28,V27), P_divide-{F}(V26,V29,V19), P_divide-{F}(V30,V21,V31), P_divide-{F}(V30,V32,V29), P_inverse-{F}(V33,V34), P_divide-{F}(V33,V10,V35), P_divide-{F}(V36,V33,V14), V35 == V36, P_divide-{F}(V4,V34,V37) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #186: mergings( V11 == V13, V34 == V37; #180 ), references = 1, size of lhs = 30:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_divide-{F}(V4,V2,V5), P_divide-{F}(V6,V5,V7), P_inverse-{F}(V6,V8), P_divide-{F}(V9,V8,V1), P_divide-{F}(V2,V8,V10), P_inverse-{F}(V11,V10), P_divide-{F}(V9,V12,V1), P_inverse-{F}(V13,V10), P_inverse-{F}(V14,V10), P_divide-{F}(V15,V3,V16), P_divide-{F}(V15,V17,V12), P_inverse-{F}(V18,V19), P_inverse-{F}(V20,V21), P_divide-{F}(V4,V20,V22), P_divide-{F}(V23,V22,V7), P_divide-{F}(V24,V23,V13), P_inverse-{F}(V24,V25), P_divide-{F}(V26,V25,V19), P_divide-{F}(V20,V25,V27), P_divide-{F}(V26,V28,V19), P_divide-{F}(V29,V21,V30), P_divide-{F}(V29,V31,V28), P_inverse-{F}(V32,V33), P_divide-{F}(V32,V27,V34), P_divide-{F}(V32,V10,V35), P_divide-{F}(V36,V32,V14), V35 == V36, P_divide-{F}(V4,V33,V37) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #192: mergings( V3 == V5; #189 ), references = 1, size of lhs = 28:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_inverse-{F}(V4,V1), P_inverse-{F}(V5,V6), P_divide-{F}(V7,V5,V4), P_inverse-{F}(V8,V9), P_inverse-{F}(V10,V11), P_divide-{F}(V10,V12,V1), P_inverse-{F}(V13,V12), P_divide-{F}(V14,V12,V9), P_divide-{F}(V14,V15,V9), P_divide-{F}(V16,V10,V17), P_divide-{F}(V13,V17,V18), P_divide-{F}(V16,V6,V19), P_divide-{F}(V20,V11,V21), P_divide-{F}(V20,V22,V15), P_inverse-{F}(V23,V24), P_inverse-{F}(V25,V26), P_divide-{F}(V16,V25,V27), P_divide-{F}(V28,V27,V18), P_divide-{F}(V29,V28,V3), P_inverse-{F}(V29,V30), P_divide-{F}(V25,V30,V1), P_divide-{F}(V31,V30,V24), P_divide-{F}(V31,V32,V24), P_divide-{F}(V33,V26,V34), P_divide-{F}(V33,V35,V32) | P_multiply-{T}(V5,V0,V7)
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #194: mergings( V3 == V5; #190 ), references = 1, size of lhs = 29:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_inverse-{F}(V4,V1), P_inverse-{F}(V5,V6), P_divide-{F}(V7,V5,V4), P_inverse-{F}(V8,V9), P_inverse-{F}(V10,V11), P_divide-{F}(V10,V12,V1), P_inverse-{F}(V13,V12), P_divide-{F}(V14,V12,V9), P_divide-{F}(V14,V15,V9), P_divide-{F}(V16,V10,V17), P_divide-{F}(V13,V17,V18), P_divide-{F}(V16,V6,V19), P_divide-{F}(V20,V11,V21), P_divide-{F}(V20,V22,V15), P_inverse-{F}(V23,V24), P_inverse-{F}(V25,V26), P_divide-{F}(V16,V25,V27), P_divide-{F}(V28,V27,V18), P_divide-{F}(V29,V28,V3), P_inverse-{F}(V29,V30), P_divide-{F}(V31,V30,V24), P_divide-{F}(V25,V30,V32), P_inverse-{F}(V33,V32), P_divide-{F}(V31,V34,V24), P_divide-{F}(V35,V26,V36), P_divide-{F}(V35,V37,V34) | P_multiply-{T}(V5,V0,V7)
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #202: exists( #3, #45 ), references = 4, size of lhs = 9:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V3), P_divide-{F}(V2,V4,V5), P_divide-{F}(V6,V5,V7), P_divide-{F}(V6,V8,V7), P_divide-{F}(V0,V8,V9), P_inverse-{F}(V10,V8), P_divide-{F}(V11,V0,V10), V9 == V11 | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #215: mergings( V8 == V9; #213 ), references = 1, size of lhs = 24:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_divide-{F}(V3,V2,V1), P_inverse-{F}(V4,V1), P_inverse-{F}(V5,V1), P_divide-{F}(V3,V5,V1), P_divide-{F}(V2,V6,V1), P_inverse-{F}(V7,V6), P_divide-{F}(V3,V6,V8), P_inverse-{F}(V9,V1), P_divide-{F}(V10,V7,V9), P_inverse-{F}(V10,V11), P_divide-{F}(V5,V11,V12), P_inverse-{F}(V13,V12), P_inverse-{F}(V14,V1), P_divide-{F}(V15,V7,V14), P_inverse-{F}(V16,V17), P_divide-{F}(V18,V6,V17), P_divide-{F}(V18,V19,V17), P_divide-{F}(V7,V20,V19), P_inverse-{F}(V21,V22), P_divide-{F}(V23,V11,V22), P_divide-{F}(V23,V24,V22), P_divide-{F}(V7,V25,V24) | P_multiply-{T}(V7,V0,V15)
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #259: mergings( V4 == V5; #256 ), references = 1, size of lhs = 18:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_inverse-{F}(V4,V5), P_divide-{F}(V6,V5,V7), P_divide-{F}(V6,V8,V9), P_divide-{F}(V10,V9,V11), P_divide-{F}(V10,V12,V11), P_inverse-{F}(V13,V12), P_divide-{F}(V4,V12,V14), P_divide-{F}(V13,V15,V2), P_divide-{F}(V16,V4,V15), P_inverse-{F}(V16,V17), P_divide-{F}(V18,V16,V3), V14 == V18, P_divide-{F}(V16,V19,V14), P_divide-{F}(V20,V17,V21), P_divide-{F}(V20,V22,V19) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #262: mergings( V4 == V5, V8 == V18; #257 ), references = 1, size of lhs = 17:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_divide-{F}(V4,V4,V5), P_divide-{F}(V6,V5,V2), P_inverse-{F}(V6,V7), P_divide-{F}(V4,V7,V8), P_divide-{F}(V9,V7,V8), P_divide-{F}(V10,V4,V3), V8 == V10, P_inverse-{F}(V4,V11), P_divide-{F}(V9,V12,V8), P_divide-{F}(V4,V13,V8), P_divide-{F}(V14,V11,V15), P_divide-{F}(V14,V16,V12), P_divide-{F}(V17,V11,V18), P_divide-{F}(V17,V19,V13) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #265: exists( #4, #256 ), references = 2, size of lhs = 15:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V3), P_divide-{F}(V2,V4,V5), P_divide-{F}(V6,V5,V7), P_divide-{F}(V6,V8,V7), P_inverse-{F}(V9,V8), P_divide-{F}(V0,V8,V10), P_divide-{F}(V11,V0,V12), P_divide-{F}(V9,V12,V13), P_inverse-{F}(V11,V14), P_divide-{F}(V15,V11,V13), V10 == V15, P_divide-{F}(V11,V16,V10), P_divide-{F}(V17,V14,V18), P_divide-{F}(V17,V19,V16) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #267: mergings( V3 == V10; #264 ), references = 2, size of lhs = 14:
% 13.56/13.74 P_divide-{F}(V0,V0,V1), P_inverse-{F}(V0,V2), P_divide-{F}(V3,V1,V4), P_inverse-{F}(V3,V5), P_divide-{F}(V0,V5,V6), P_divide-{F}(V7,V5,V6), P_divide-{F}(V8,V0,V4), V6 == V8, P_divide-{F}(V7,V9,V6), P_divide-{F}(V0,V10,V6), P_divide-{F}(V11,V2,V12), P_divide-{F}(V11,V13,V9), P_divide-{F}(V14,V2,V15), P_divide-{F}(V14,V16,V10) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #273: mergings( V4 == V1; #271 ), references = 1, size of lhs = 12:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V4), P_inverse-{F}(V5,V6), P_divide-{F}(V7,V5,V8), P_divide-{F}(V9,V8,V2), P_inverse-{F}(V9,V10), P_divide-{F}(V11,V10,V4), P_divide-{F}(V5,V10,V12), P_divide-{F}(V11,V13,V4), P_divide-{F}(V14,V6,V15), P_divide-{F}(V14,V16,V13) | P_divide-{T}(V7,V1,V12)
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #323: mergings( V16 == V19, V19 == V20, V4 == V5, V8 == V17, V17 == V21, V21 == V20, V14 == V0, V6 == V7, V15 == V20, V1 == V7, V13 == V0; #309 ), references = 1, size of lhs = 13:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V4), P_divide-{F}(V5,V5,V4), V5 == V2, P_divide-{F}(V5,V4,V2), P_inverse-{F}(V5,V4), P_divide-{F}(V5,V6,V2), P_divide-{F}(V5,V7,V2), P_divide-{F}(V8,V4,V9), P_divide-{F}(V8,V10,V6), P_divide-{F}(V11,V4,V12), P_divide-{F}(V11,V13,V7) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #334: mergings( V16 == V20, V4 == V5, V8 == V17, V17 == V22, V22 == V19, V14 == V0, V6 == V7, V15 == V19, V0 == V13, V13 == V21; #310 ), references = 1, size of lhs = 16:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_inverse-{F}(V4,V5), P_divide-{F}(V6,V5,V3), V6 == V3, P_inverse-{F}(V6,V5), P_divide-{F}(V6,V6,V7), P_divide-{F}(V6,V7,V2), P_divide-{F}(V6,V8,V3), P_divide-{F}(V6,V9,V3), P_divide-{F}(V10,V5,V11), P_divide-{F}(V10,V12,V8), P_divide-{F}(V13,V5,V14), P_divide-{F}(V13,V15,V9), P_divide-{F}(V16,V17,V5) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #347: mergings( V19 == V23, V4 == V5, V5 == V8, V11 == V20, V20 == V25, V25 == V22, V17 == V0, V6 == V7, V18 == V22, V0 == V16, V16 == V24, V1 == V10; #311 ), references = 1, size of lhs = 17:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_inverse-{F}(V4,V1), P_inverse-{F}(V5,V6), P_divide-{F}(V7,V6,V4), V4 == V7, P_inverse-{F}(V7,V6), P_divide-{F}(V7,V7,V8), P_divide-{F}(V7,V8,V3), P_divide-{F}(V7,V9,V4), P_divide-{F}(V7,V10,V4), P_divide-{F}(V11,V6,V12), P_divide-{F}(V11,V13,V9), P_divide-{F}(V14,V6,V15), P_divide-{F}(V14,V16,V10), P_divide-{F}(V17,V18,V6) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #359: mergings( V4 == V10, V10 == V11, V3 == V8, V8 == V12, V12 == V11, V2 == V5, V6 == V11, V5 == V7; #348 ), references = 1, size of lhs = 11:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V2,V1), P_inverse-{F}(V2,V1), P_divide-{F}(V2,V1,V3), V2 == V3, P_divide-{F}(V2,V4,V3), P_divide-{F}(V2,V5,V3), P_divide-{F}(V6,V1,V7), P_divide-{F}(V6,V8,V4), P_divide-{F}(V9,V1,V10), P_divide-{F}(V9,V11,V5) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #368: mergings( V4 == V11, V3 == V8, V8 == V13, V13 == V10, V2 == V5, V6 == V10, V5 == V7, V7 == V12; #349 ), references = 1, size of lhs = 13:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_divide-{F}(V2,V2,V3), P_divide-{F}(V2,V3,V4), V2 == V4, P_divide-{F}(V2,V1,V4), P_divide-{F}(V2,V5,V4), P_divide-{F}(V2,V6,V4), P_divide-{F}(V7,V1,V8), P_divide-{F}(V7,V9,V5), P_divide-{F}(V10,V1,V11), P_divide-{F}(V10,V12,V6), P_divide-{F}(V13,V14,V1) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #377: mergings( V4 == V11, V3 == V8, V8 == V13, V13 == V10, V2 == V5, V6 == V10, V5 == V7, V7 == V12; #350 ), references = 1, size of lhs = 13:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_divide-{F}(V2,V2,V3), P_divide-{F}(V2,V3,V4), V4 == V2, P_divide-{F}(V2,V1,V4), P_divide-{F}(V2,V5,V4), P_divide-{F}(V2,V6,V4), P_divide-{F}(V7,V1,V8), P_divide-{F}(V7,V9,V5), P_divide-{F}(V10,V1,V11), P_divide-{F}(V10,V12,V6), P_divide-{F}(V13,V14,V1) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #386: mergings( V3 == V6, V6 == V4; #381 ), references = 1, size of lhs = 6:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_divide-{F}(V2,V2,V1), P_inverse-{F}(V3,V1), P_divide-{F}(V2,V4,V1), P_divide-{F}(V2,V5,V1) | P_multiply-{T}(V2,V0,V2)
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #392: exists( #3, #202 ), references = 6, size of lhs = 5:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V3), P_divide-{F}(V2,V4,V5), P_inverse-{F}(V6,V5), P_divide-{F}(V7,V0,V6) | P_divide-{T}(V0,V5,V7)
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #405: exists( #5, #399 ), references = 2, size of lhs = 9:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_divide-{F}(V3,V2,V4), P_inverse-{F}(V4,V5), P_divide-{F}(V2,V5,V6), V6 == V3, P_divide-{F}(V7,V5,V8), P_divide-{F}(V7,V9,V8), P_divide-{F}(V10,V11,V9) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #406: exists( #5, #401 ), references = 1, size of lhs = 9:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_divide-{F}(V2,V3,V4), P_divide-{F}(V5,V4,V1), P_divide-{F}(V5,V6,V1), P_divide-{F}(V2,V6,V7), P_inverse-{F}(V8,V6), P_divide-{F}(V9,V2,V8), V7 == V9 | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #407: exists( #5, #400 ), references = 2, size of lhs = 10:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V4), P_divide-{F}(V5,V2,V6), P_inverse-{F}(V6,V7), P_divide-{F}(V8,V7,V4), P_divide-{F}(V2,V7,V9), V9 == V5, P_divide-{F}(V8,V10,V4), P_divide-{F}(V11,V12,V10) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #437: exists( #3, #431 ), references = 2, size of lhs = 12:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V0,V3), P_inverse-{F}(V3,V4), P_divide-{F}(V5,V6,V4), P_inverse-{F}(V7,V8), P_inverse-{F}(V9,V8), P_divide-{F}(V10,V9,V11), P_inverse-{F}(V11,V12), P_divide-{F}(V9,V12,V13), V13 == V10, P_divide-{F}(V14,V12,V15), P_divide-{F}(V14,V2,V15) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #438: exists( #3, #432 ), references = 1, size of lhs = 13:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V0,V3), P_inverse-{F}(V3,V4), P_divide-{F}(V5,V6,V4), P_inverse-{F}(V7,V8), P_inverse-{F}(V9,V8), P_inverse-{F}(V10,V11), P_divide-{F}(V12,V2,V11), P_divide-{F}(V12,V13,V11), P_divide-{F}(V9,V13,V14), P_inverse-{F}(V15,V13), P_divide-{F}(V16,V9,V15), V14 == V16 | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #439: exists( #3, #433 ), references = 1, size of lhs = 7:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V0,V3), P_inverse-{F}(V3,V4), P_divide-{F}(V5,V6,V4), P_divide-{F}(V7,V2,V8), P_divide-{F}(V9,V2,V8), V7 == V9 | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #443: exists( #5, #441 ), references = 1, size of lhs = 11:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_divide-{F}(V2,V3,V4), P_divide-{F}(V5,V6,V3), P_divide-{F}(V7,V8,V6), P_divide-{F}(V5,V9,V10), P_divide-{F}(V11,V10,V4), P_divide-{F}(V11,V9,V12), P_inverse-{F}(V13,V9), P_divide-{F}(V14,V11,V13), V12 == V14 | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #453: exists( #5, #447 ), references = 1, size of lhs = 7:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_divide-{F}(V3,V4,V2), P_divide-{F}(V5,V6,V4), P_divide-{F}(V7,V3,V8), P_divide-{F}(V9,V3,V8), V7 == V9 | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #454: exists( #5, #448 ), references = 1, size of lhs = 8:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_divide-{F}(V3,V4,V2), P_divide-{F}(V5,V3,V6), P_inverse-{F}(V6,V7), P_divide-{F}(V8,V7,V4), P_divide-{F}(V3,V7,V9), V9 == V5 | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #455: exists( #5, #449 ), references = 1, size of lhs = 15:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V4), P_divide-{F}(V5,V3,V6), P_inverse-{F}(V6,V7), P_divide-{F}(V7,V8,V2), P_divide-{F}(V9,V10,V8), P_inverse-{F}(V11,V12), P_inverse-{F}(V13,V12), P_divide-{F}(V14,V13,V15), P_inverse-{F}(V15,V16), P_divide-{F}(V13,V16,V17), V17 == V14, P_divide-{F}(V18,V16,V19), P_divide-{F}(V18,V5,V19) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #459: exists( #4, #450 ), references = 3, size of lhs = 5:
% 13.56/13.74 P_divide-{F}(V0,V1,V2), P_divide-{F}(V3,V2,V4), P_divide-{F}(V5,V3,V6), P_divide-{F}(V7,V3,V6), V5 == V7 | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #460: exists( #4, #451 ), references = 2, size of lhs = 6:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V3,V0), P_divide-{F}(V3,V1,V4), V4 == V2, P_divide-{F}(V5,V1,V6), P_divide-{F}(V3,V6,V7) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #463: exists( #5, #461 ), references = 4, size of lhs = 5:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V3,V1), P_divide-{F}(V4,V5,V6), P_divide-{F}(V7,V5,V6), V4 == V7 | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #480: exists( #3, #267 ), references = 4, size of lhs = 12:
% 13.56/13.74 P_divide-{F}(V0,V0,V1), P_inverse-{F}(V0,V2), P_divide-{F}(V3,V1,V4), P_inverse-{F}(V3,V5), P_divide-{F}(V0,V5,V6), P_divide-{F}(V7,V5,V6), P_divide-{F}(V8,V0,V4), V6 == V8, P_divide-{F}(V7,V9,V6), P_divide-{F}(V0,V10,V6), P_divide-{F}(V11,V12,V9), P_divide-{F}(V11,V13,V10) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #481: exists( #3, #265 ), references = 3, size of lhs = 13:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_divide-{F}(V2,V0,V3), P_inverse-{F}(V4,V5), P_divide-{F}(V0,V5,V6), P_divide-{F}(V4,V3,V7), P_divide-{F}(V8,V2,V7), V6 == V8, P_divide-{F}(V2,V9,V6), P_divide-{F}(V10,V5,V11), P_divide-{F}(V10,V12,V11), P_divide-{F}(V13,V14,V12), P_divide-{F}(V13,V15,V9) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #482: exists( #3, #132 ), references = 1, size of lhs = 15:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_inverse-{F}(V4,V3), P_divide-{F}(V4,V2,V5), P_divide-{F}(V6,V5,V7), P_inverse-{F}(V6,V8), P_divide-{F}(V9,V8,V1), P_divide-{F}(V2,V8,V10), P_inverse-{F}(V11,V10), P_divide-{F}(V12,V4,V7), V10 == V12, P_divide-{F}(V9,V13,V1), P_divide-{F}(V4,V14,V10), P_divide-{F}(V15,V16,V13), P_divide-{F}(V15,V17,V14) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #486: exists( #3, #477 ), references = 2, size of lhs = 12:
% 13.56/13.74 P_divide-{F}(V0,V0,V1), P_inverse-{F}(V0,V2), P_divide-{F}(V3,V1,V4), P_inverse-{F}(V3,V5), P_divide-{F}(V0,V5,V6), P_divide-{F}(V7,V5,V6), P_divide-{F}(V8,V0,V4), V6 == V8, P_divide-{F}(V7,V9,V6), P_divide-{F}(V0,V10,V6), P_divide-{F}(V11,V12,V9), P_divide-{F}(V11,V13,V10) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #487: exists( #3, #478 ), references = 1, size of lhs = 13:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_divide-{F}(V2,V0,V3), P_inverse-{F}(V4,V5), P_divide-{F}(V0,V5,V6), P_divide-{F}(V4,V3,V7), P_divide-{F}(V8,V2,V7), V6 == V8, P_divide-{F}(V2,V9,V6), P_divide-{F}(V10,V5,V11), P_divide-{F}(V10,V12,V11), P_divide-{F}(V13,V14,V12), P_divide-{F}(V13,V15,V9) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #488: exists( #3, #479 ), references = 1, size of lhs = 15:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_inverse-{F}(V4,V3), P_divide-{F}(V4,V2,V5), P_divide-{F}(V6,V5,V7), P_inverse-{F}(V6,V8), P_divide-{F}(V9,V8,V1), P_divide-{F}(V2,V8,V10), P_inverse-{F}(V11,V10), P_divide-{F}(V12,V4,V7), V10 == V12, P_divide-{F}(V9,V13,V1), P_divide-{F}(V4,V14,V10), P_divide-{F}(V15,V16,V13), P_divide-{F}(V15,V17,V14) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #532: mergings( V4 == V5, V26 == V19; #527 ), references = 1, size of lhs = 22:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_inverse-{F}(V4,V5), P_divide-{F}(V6,V5,V7), P_divide-{F}(V6,V8,V9), P_divide-{F}(V10,V9,V11), P_divide-{F}(V10,V12,V11), P_inverse-{F}(V13,V12), P_divide-{F}(V4,V12,V14), P_divide-{F}(V13,V15,V2), P_divide-{F}(V16,V4,V15), P_divide-{F}(V17,V17,V18), P_inverse-{F}(V17,V19), P_divide-{F}(V20,V18,V21), P_inverse-{F}(V20,V22), P_divide-{F}(V17,V22,V23), P_divide-{F}(V24,V17,V21), V23 == V24, P_divide-{F}(V17,V25,V23), P_divide-{F}(V25,V26,V3), P_divide-{F}(V16,V27,V26) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #535: mergings( V4 == V5, V26 == V19; #528 ), references = 1, size of lhs = 22:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_inverse-{F}(V4,V5), P_divide-{F}(V6,V5,V7), P_divide-{F}(V6,V8,V9), P_divide-{F}(V10,V9,V11), P_divide-{F}(V10,V12,V11), P_inverse-{F}(V13,V12), P_divide-{F}(V4,V12,V14), P_divide-{F}(V13,V15,V2), P_divide-{F}(V16,V4,V15), P_divide-{F}(V17,V17,V18), P_inverse-{F}(V17,V19), P_divide-{F}(V20,V18,V21), P_inverse-{F}(V20,V22), P_divide-{F}(V17,V22,V23), P_divide-{F}(V24,V17,V21), V23 == V24, P_divide-{F}(V17,V25,V23), P_divide-{F}(V25,V26,V3), P_divide-{F}(V16,V27,V26) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #537: mergings( V4 == V5; #529 ), references = 1, size of lhs = 25:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_inverse-{F}(V4,V5), P_divide-{F}(V6,V5,V7), P_divide-{F}(V6,V8,V9), P_divide-{F}(V10,V9,V11), P_divide-{F}(V10,V12,V11), P_inverse-{F}(V13,V12), P_divide-{F}(V4,V12,V14), P_divide-{F}(V13,V15,V2), P_divide-{F}(V16,V4,V15), P_inverse-{F}(V17,V18), P_inverse-{F}(V19,V18), P_divide-{F}(V19,V17,V20), P_inverse-{F}(V21,V22), P_divide-{F}(V17,V22,V23), P_divide-{F}(V21,V20,V24), P_divide-{F}(V25,V19,V24), V23 == V25, P_divide-{F}(V19,V26,V23), P_divide-{F}(V26,V27,V3), P_divide-{F}(V16,V28,V27), P_divide-{F}(V29,V22,V30), P_divide-{F}(V29,V26,V30) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #542: mergings( V22 == V15; #538 ), references = 1, size of lhs = 19:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V3), P_divide-{F}(V2,V4,V5), P_divide-{F}(V6,V5,V7), P_divide-{F}(V6,V8,V7), P_inverse-{F}(V9,V8), P_divide-{F}(V0,V8,V10), P_divide-{F}(V11,V0,V12), P_divide-{F}(V9,V12,V13), P_divide-{F}(V14,V14,V15), P_inverse-{F}(V14,V16), P_divide-{F}(V17,V15,V18), P_inverse-{F}(V17,V19), P_divide-{F}(V14,V19,V20), P_divide-{F}(V21,V14,V18), V20 == V21, P_divide-{F}(V14,V22,V20), P_divide-{F}(V22,V23,V13), P_divide-{F}(V11,V24,V23) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #544: mergings( V22 == V15; #539 ), references = 1, size of lhs = 19:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V3), P_divide-{F}(V2,V4,V5), P_divide-{F}(V6,V5,V7), P_divide-{F}(V6,V8,V7), P_inverse-{F}(V9,V8), P_divide-{F}(V0,V8,V10), P_divide-{F}(V11,V0,V12), P_divide-{F}(V9,V12,V13), P_divide-{F}(V14,V14,V15), P_inverse-{F}(V14,V16), P_divide-{F}(V17,V15,V18), P_inverse-{F}(V17,V19), P_divide-{F}(V14,V19,V20), P_divide-{F}(V21,V14,V18), V20 == V21, P_divide-{F}(V14,V22,V20), P_divide-{F}(V22,V23,V13), P_divide-{F}(V11,V24,V23) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #545: exists( #4, #529 ), references = 1, size of lhs = 22:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V3), P_divide-{F}(V2,V4,V5), P_divide-{F}(V6,V5,V7), P_divide-{F}(V6,V8,V7), P_inverse-{F}(V9,V8), P_divide-{F}(V0,V8,V10), P_divide-{F}(V11,V0,V12), P_divide-{F}(V9,V12,V13), P_inverse-{F}(V14,V15), P_inverse-{F}(V16,V15), P_divide-{F}(V16,V14,V17), P_inverse-{F}(V18,V19), P_divide-{F}(V14,V19,V20), P_divide-{F}(V18,V17,V21), P_divide-{F}(V22,V16,V21), V20 == V22, P_divide-{F}(V16,V23,V20), P_divide-{F}(V23,V24,V13), P_divide-{F}(V11,V25,V24), P_divide-{F}(V26,V19,V27), P_divide-{F}(V26,V23,V27) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #553: mergings( V16 == V20; #549 ), references = 1, size of lhs = 18:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_inverse-{F}(V4,V5), P_divide-{F}(V4,V3,V6), P_divide-{F}(V7,V4,V1), P_divide-{F}(V7,V8,V1), P_divide-{F}(V9,V5,V10), P_divide-{F}(V9,V11,V12), P_divide-{F}(V13,V12,V14), P_divide-{F}(V13,V3,V14), P_divide-{F}(V15,V15,V16), P_inverse-{F}(V15,V17), P_divide-{F}(V15,V2,V18), P_divide-{F}(V15,V19,V18), P_inverse-{F}(V20,V19), P_divide-{F}(V20,V16,V21), P_divide-{F}(V22,V15,V21), V18 == V22 | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #555: mergings( V16 == V20; #550 ), references = 1, size of lhs = 18:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_inverse-{F}(V4,V5), P_divide-{F}(V4,V3,V6), P_divide-{F}(V7,V4,V1), P_divide-{F}(V7,V8,V1), P_divide-{F}(V9,V5,V10), P_divide-{F}(V9,V11,V12), P_divide-{F}(V13,V12,V14), P_divide-{F}(V13,V3,V14), P_divide-{F}(V15,V15,V16), P_inverse-{F}(V15,V17), P_divide-{F}(V15,V2,V18), P_divide-{F}(V15,V19,V18), P_inverse-{F}(V20,V19), P_divide-{F}(V20,V16,V21), P_divide-{F}(V22,V15,V21), V18 == V22 | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #556: exists( #5, #548 ), references = 1, size of lhs = 21:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_inverse-{F}(V4,V5), P_divide-{F}(V4,V3,V6), P_divide-{F}(V7,V4,V1), P_divide-{F}(V7,V8,V1), P_divide-{F}(V9,V5,V10), P_divide-{F}(V9,V11,V12), P_divide-{F}(V13,V12,V14), P_divide-{F}(V13,V3,V14), P_inverse-{F}(V15,V16), P_inverse-{F}(V17,V16), P_divide-{F}(V17,V15,V18), P_divide-{F}(V17,V2,V19), P_divide-{F}(V15,V20,V19), P_inverse-{F}(V21,V20), P_divide-{F}(V21,V18,V22), P_divide-{F}(V23,V17,V22), V19 == V23, P_divide-{F}(V24,V20,V25), P_divide-{F}(V24,V2,V25) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #604: exists( #3, #460 ), references = 3, size of lhs = 5:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V3,V0), P_divide-{F}(V3,V1,V4), V4 == V2, P_divide-{F}(V5,V1,V6) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #609: exists( #5, #607 ), references = 40, size of lhs = 3:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_divide-{F}(V3,V4,V2) | P_multiply-{T}(V4,V0,V3)
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #615: exists( #4, #613 ), references = 2, size of lhs = 5:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V3,V1), P_divide-{F}(V4,V5,V6), P_divide-{F}(V4,V7,V6), V5 == V7 | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #620: exists( #4, #618 ), references = 2, size of lhs = 5:
% 13.56/13.74 P_divide-{F}(V0,V1,V2), P_divide-{F}(V3,V0,V4), P_divide-{F}(V5,V3,V6), P_divide-{F}(V7,V3,V6), V5 == V7 | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #644: mergings( V4 == V6; #640 ), references = 1, size of lhs = 5:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_divide-{F}(V0,V1,V3), P_divide-{F}(V0,V4,V3), V1 == V4 | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #646: mergings( V4 == V6; #641 ), references = 2, size of lhs = 6:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_divide-{F}(V0,V4,V5), P_divide-{F}(V3,V6,V5), V4 == V6 | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #686: mergings( V0 == V4; #683 ), references = 1, size of lhs = 3:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V1), P_inverse-{F}(V2,V1) | P_inverse-{T}(V1,V2)
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #688: mergings( V3 == V4; #682 ), references = 2, size of lhs = 4:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_divide-{F}(V2,V1,V3), P_divide-{F}(V4,V1,V1) | P_inverse-{T}(V3,V4)
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #690: mergings( V3 == V4; #684 ), references = 4, size of lhs = 5:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V4), P_divide-{F}(V2,V4,V5), P_divide-{F}(V6,V1,V4) | P_inverse-{T}(V5,V6)
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #728: mergings( V4 == V8, V8 == V9, V6 == V10, V1 == V10; #721 ), references = 1, size of lhs = 8:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), V1 == V3, P_divide-{F}(V4,V1,V4), P_divide-{F}(V4,V4,V3), P_inverse-{F}(V5,V4), P_divide-{F}(V6,V7,V1) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #733: mergings( V4 == V8, V8 == V9, V6 == V10, V1 == V10; #722 ), references = 1, size of lhs = 8:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), V1 == V3, P_divide-{F}(V4,V1,V4), P_divide-{F}(V4,V4,V3), P_inverse-{F}(V5,V4), P_divide-{F}(V6,V7,V1) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #738: mergings( V4 == V8, V8 == V9, V10 == V6, V1 == V6; #723 ), references = 2, size of lhs = 8:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), V3 == V1, P_divide-{F}(V4,V1,V4), P_divide-{F}(V4,V4,V3), P_inverse-{F}(V5,V4), P_divide-{F}(V6,V7,V4) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #746: exists( #4, #744 ), references = 5, size of lhs = 2:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_divide-{F}(V1,V1,V2) | P_inverse-{T}(V2,V2)
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #765: mergings( V3 == V4, V4 == V5; #762 ), references = 1, size of lhs = 5:
% 13.56/13.74 P_b2-{F}(V0), P_inverse-{F}(V0,V1), P_a2-{F}(V2), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V2) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #767: exists( #4, #762 ), references = 1, size of lhs = 3:
% 13.56/13.74 P_b2-{F}(V0), P_a2-{F}(V0), P_inverse-{F}(V1,V0) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #794: mergings( V7 == V3, V5 == V3, V3 == V6, V9 == V10; #787 ), references = 1, size of lhs = 6:
% 13.56/13.74 P_divide-{F}(V0,V0,V0), P_inverse-{F}(V1,V0), P_inverse-{F}(V0,V2), P_inverse-{F}(V3,V0), V0 == V3, P_divide-{F}(V4,V5,V0) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #801: mergings( V3 == V7, V5 == V8, V8 == V9, V11 == V12, V7 == V1, V1 == V4; #788 ), references = 2, size of lhs = 6:
% 13.56/13.74 P_divide-{F}(V0,V0,V0), P_inverse-{F}(V0,V0), P_inverse-{F}(V1,V2), P_divide-{F}(V0,V2,V3), V3 == V1, P_divide-{F}(V4,V5,V2) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #842: mergings( V4 == V6, V6 == V8; #837 ), references = 5, size of lhs = 6:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_inverse-{F}(V4,V1), P_divide-{F}(V4,V2,V5), P_inverse-{F}(V6,V1) | P_inverse-{T}(V5,V5)
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #905: mergings( V4 == V5, V5 == V6, V6 == V8; #899 ), references = 1, size of lhs = 8:
% 13.56/13.74 P_b2-{F}(V0), P_inverse-{F}(V0,V1), P_a2-{F}(V2), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_inverse-{F}(V4,V1), P_inverse-{F}(V5,V1), P_inverse-{F}(V6,V1) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #907: exists( #4, #899 ), references = 1, size of lhs = 2:
% 13.56/13.74 P_b2-{F}(V0), P_a2-{F}(V0) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #929: exists( #3, #927 ), references = 1, size of lhs = 11:
% 13.56/13.74 P_b2-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_a2-{F}(V3), P_divide-{F}(V3,V2,V3), P_inverse-{F}(V4,V5), P_inverse-{F}(V6,V5), P_divide-{F}(V6,V5,V3), P_divide-{F}(V7,V5,V8), P_divide-{F}(V5,V8,V9), P_inverse-{F}(V9,V10) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #943: exists( #4, #937 ), references = 1, size of lhs = 7:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V3,V1), P_inverse-{F}(V4,V5), P_divide-{F}(V6,V5,V7), P_divide-{F}(V8,V6,V9), P_divide-{F}(V10,V8,V4), P_divide-{F}(V7,V11,V10) | P_inverse-{T}(V9,V11)
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #944: exists( #4, #938 ), references = 1, size of lhs = 8:
% 13.56/13.74 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_divide-{F}(V0,V4,V5), P_divide-{F}(V5,V6,V7), P_inverse-{F}(V7,V8), P_divide-{F}(V9,V8,V3), P_divide-{F}(V6,V9,V10) | P_inverse-{T}(V10,V4)
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #972: exists( #3, #801 ), references = 2, size of lhs = 4:
% 13.56/13.74 P_divide-{F}(V0,V0,V0), P_inverse-{F}(V0,V0), P_inverse-{F}(V1,V2), P_divide-{F}(V3,V4,V2) | P_divide-{T}(V0,V2,V1)
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #974: mergings( V9 == V10; #970 ), references = 3, size of lhs = 6:
% 13.56/13.74 P_divide-{F}(V0,V0,V1), P_inverse-{F}(V0,V2), P_divide-{F}(V3,V1,V4), P_inverse-{F}(V3,V5), P_divide-{F}(V6,V0,V4), P_divide-{F}(V7,V8,V5) | P_divide-{T}(V0,V5,V6)
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #990: exists( #3, #984 ), references = 1, size of lhs = 4:
% 13.56/13.74 P_divide-{F}(V0,V0,V0), P_inverse-{F}(V0,V0), P_inverse-{F}(V1,V1), P_inverse-{F}(V2,V1) | P_divide-{T}(V1,V1,V0)
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #1025: exists( #3, #1023 ), references = 2, size of lhs = 6:
% 13.56/13.74 P_divide-{F}(V0,V0,V0), P_inverse-{F}(V0,V0), P_inverse-{F}(V1,V2), P_inverse-{F}(V3,V2), P_inverse-{F}(V4,V2), P_inverse-{F}(V5,V2) | P_divide-{T}(V4,V4,V0)
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #1032: mergings( V6 == V5, V4 == V5; #1029 ), references = 2, size of lhs = 7:
% 13.56/13.74 P_b2-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_inverse-{F}(V2,V2), P_divide-{F}(V2,V2,V2), P_a2-{F}(V3), P_divide-{F}(V4,V5,V2) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #1049: mergings( V2 == V4, V4 == V6, V6 == V10; #1045 ), references = 1, size of lhs = 9:
% 13.56/13.74 P_b2-{F}(V0), P_inverse-{F}(V1,V0), P_inverse-{F}(V2,V0), P_a2-{F}(V3), P_inverse-{F}(V4,V0), P_inverse-{F}(V5,V0), P_inverse-{F}(V6,V0), P_inverse-{F}(V7,V0), P_inverse-{F}(V8,V0) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #1059: mergings( V3 == V4, V4 == V5; #1056 ), references = 2, size of lhs = 6:
% 13.56/13.74 P_b2-{F}(V0), P_a2-{F}(V1), P_inverse-{F}(V2,V2), P_divide-{F}(V2,V2,V2), P_divide-{F}(V3,V4,V2), P_divide-{F}(V5,V6,V2) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #1065: exists( #3, #1063 ), references = 2, size of lhs = 4:
% 13.56/13.74 P_b2-{F}(V0), P_a2-{F}(V1), P_inverse-{F}(V2,V2), P_inverse-{F}(V3,V2) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #1069: exists( #3, #1066 ), references = 1, size of lhs = 7:
% 13.56/13.74 P_b2-{F}(V0), P_a2-{F}(V1), P_inverse-{F}(V2,V3), P_inverse-{F}(V4,V3), P_inverse-{F}(V5,V3), P_inverse-{F}(V6,V3), P_inverse-{F}(V7,V3) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #1071: exists( #4, #1068 ), references = 1, size of lhs = 2:
% 13.56/13.74 P_b2-{F}(V0), P_a2-{F}(V1) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #1073: exists( #7, #1070 ), references = 1, size of lhs = 1:
% 13.56/13.74 P_b2-{F}(V0) | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 #1075: exists( #6, #1072 ), references = 1, size of lhs = 0:
% 13.56/13.74 FALSE | FALSE
% 13.56/13.74 (used 0 times, uses = {})
% 13.56/13.74
% 13.56/13.74 number of learnt formulas = 98
% 13.56/13.74
% 13.56/13.74
% 13.56/13.74 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.56/13.74
% 13.56/13.74 randbase = 1
%------------------------------------------------------------------------------