TSTP Solution File: KLE044+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE044+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:07:00 EDT 2022
% Result : Theorem 230.24s 230.48s
% Output : Refutation 230.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : KLE044+2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 16:58:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 230.24/230.48 GeoParameters:
% 230.24/230.48
% 230.24/230.48 tptp_input = 1
% 230.24/230.48 tptp_output = 0
% 230.24/230.48 nonempty = 1
% 230.24/230.48 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 230.24/230.48 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 230.24/230.48
% 230.24/230.48
% 230.24/230.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 230.24/230.48 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 230.24/230.48
% 230.24/230.48 RuleSystem INPUT:
% 230.24/230.48
% 230.24/230.48 Initial Rules:
% 230.24/230.48 #0: input, references = 5, size of lhs = 3:
% 230.24/230.48 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #1: input, references = 6, size of lhs = 5:
% 230.24/230.48 P_addition-{F}(V1,V0,V3), P_addition-{F}(V2,V3,V4), P_addition-{F}(V2,V1,V5), P_addition-{F}(V5,V0,V6), V4 == V6 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #2: input, references = 4, size of lhs = 3:
% 230.24/230.48 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #3: input, references = 4, size of lhs = 3:
% 230.24/230.48 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #4: input, references = 7, size of lhs = 6:
% 230.24/230.48 P_zero-{F}(V0), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V1,V4,V5), P_multiplication-{F}(V1,V2,V6), P_multiplication-{F}(V6,V3,V7), V5 == V7 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #5: input, references = 4, size of lhs = 4:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #6: input, references = 4, size of lhs = 4:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #7: input, references = 8, size of lhs = 8:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V3,V4,V5), P_multiplication-{F}(V2,V5,V6), P_multiplication-{F}(V2,V3,V7), P_multiplication-{F}(V2,V4,V8), P_addition-{F}(V7,V8,V9), V6 == V9 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #8: input, references = 7, size of lhs = 8:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V5), P_multiplication-{F}(V5,V4,V6), P_multiplication-{F}(V2,V4,V7), P_multiplication-{F}(V3,V4,V8), P_addition-{F}(V7,V8,V9), V6 == V9 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #9: input, references = 4, size of lhs = 4:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #10: input, references = 4, size of lhs = 4:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #11: input, references = 13, size of lhs = 5:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #12: input, references = 11, size of lhs = 3:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #13: input, references = 12, size of lhs = 5:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), P_addition-{F}(V1,V4,V5) | leq-{T}(V5,V3)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #14: input, references = 5, size of lhs = 5:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4), P_addition-{F}(V1,V4,V5) | leq-{T}(V5,V3)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #15: input, references = 6, size of lhs = 7:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V5), P_addition-{F}(V5,V4,V6), P_star-{F}(V2,V7), P_multiplication-{F}(V7,V4,V8), leq-{F}(V6,V3) | leq-{T}(V8,V3)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #16: input, references = 9, size of lhs = 7:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V5), P_addition-{F}(V5,V4,V6), P_star-{F}(V3,V7), P_multiplication-{F}(V4,V7,V8), leq-{F}(V6,V2) | leq-{T}(V8,V2)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #17: input, references = 4, size of lhs = 2:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp0-{T}(V1,V2)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #18: input, references = 5, size of lhs = 6:
% 230.24/230.48 pppp0-{F}(V0,V1), P_addition-{F}(V0,V1,V2), P_star-{F}(V2,V3), P_star-{F}(V1,V4), leq-{F}(V3,V4), leq-{F}(V4,V3) | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #19: input, references = 18, size of lhs = 2:
% 230.24/230.48 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #20: input, references = 4, size of lhs = 0:
% 230.24/230.48 FALSE | EXISTS V0: P_zero-{T}(V0)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #21: input, references = 39, size of lhs = 2:
% 230.24/230.48 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #22: input, references = 4, size of lhs = 0:
% 230.24/230.48 FALSE | EXISTS V0: P_one-{T}(V0)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #23: input, references = 8, size of lhs = 1:
% 230.24/230.48 #-{F} V0 | EXISTS V1: P_star-{T}(V0,V1)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 number of initial rules = 24
% 230.24/230.48
% 230.24/230.48 Simplifiers:
% 230.24/230.48 #24: unsound, references = 3, size of lhs = 3:
% 230.24/230.48 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #25: unsound, references = 3, size of lhs = 3:
% 230.24/230.48 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #26: unsound, references = 3, size of lhs = 3:
% 230.24/230.48 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #27: unsound, references = 3, size of lhs = 3:
% 230.24/230.48 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #28: unsound, references = 3, size of lhs = 3:
% 230.24/230.48 P_star-{F}(V0,V1), P_star-{F}(V0,V3), V1 == V3 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #29: unsound, references = 3, size of lhs = 3:
% 230.24/230.48 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #30: unsound, references = 3, size of lhs = 3:
% 230.24/230.48 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 number of simplifiers = 7
% 230.24/230.48
% 230.24/230.48 Learnt:
% 230.24/230.48 #32: exists( #19, #3 ), references = 14, size of lhs = 2:
% 230.24/230.48 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #35: exists( #21, #5 ), references = 11, size of lhs = 3:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #36: exists( #21, #6 ), references = 18, size of lhs = 3:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #39: exists( #21, #9 ), references = 5, size of lhs = 3:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #40: exists( #21, #10 ), references = 4, size of lhs = 3:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #42: exists( #19, #2 ), references = 11, size of lhs = 2:
% 230.24/230.48 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #46: exists( #19, #0 ), references = 59, size of lhs = 1:
% 230.24/230.48 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #51: exists( #19, #11 ), references = 10, size of lhs = 3:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V2,V3) | P_addition-{T}(V2,V3,V3)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #97: mergings( V2 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V3 == V0, V0 == V6, V6 == V8, V8 == V10, V10 == V12; #86 ), references = 1, size of lhs = 5:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V1,V2), P_addition-{F}(V2,V1,V3), leq-{F}(V3,V1) | P_star-{T}(V1,V1)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #124: exists( #19, #7 ), references = 23, size of lhs = 6:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V5,V4,V6), P_multiplication-{F}(V5,V2,V7), P_multiplication-{F}(V5,V3,V8) | P_addition-{T}(V7,V8,V6)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #125: exists( #19, #8 ), references = 26, size of lhs = 6:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V4,V5,V6), P_multiplication-{F}(V2,V5,V7), P_multiplication-{F}(V3,V5,V8) | P_addition-{T}(V7,V8,V6)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #128: exists( #21, #4 ), references = 8, size of lhs = 4:
% 230.24/230.48 P_zero-{F}(V0), P_multiplication-{F}(V1,V2,V3), P_multiplication-{F}(V4,V3,V5), P_multiplication-{F}(V4,V1,V6) | P_multiplication-{T}(V6,V2,V5)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #130: exists( #19, #1 ), references = 37, size of lhs = 3:
% 230.24/230.48 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V0,V4), P_addition-{F}(V4,V1,V5) | P_addition-{T}(V3,V2,V5)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #153: mergings( V3 == V4, V0 == V5; #150 ), references = 2, size of lhs = 7:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V1,V1), P_star-{F}(V3,V4), P_multiplication-{F}(V3,V4,V5), P_addition-{F}(V2,V4,V6), V6 == V4 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #158: mergings( V3 == V5, V4 == V6; #155 ), references = 1, size of lhs = 5:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V1,V1), P_star-{F}(V3,V4), P_multiplication-{F}(V3,V4,V5) | P_addition-{T}(V4,V2,V4)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #174: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #165 ), references = 1, size of lhs = 5:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), P_star-{F}(V2,V3), P_multiplication-{F}(V2,V1,V3) | P_multiplication-{T}(V2,V3,V3)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #187: mergings( V3 == V4, V0 == V5; #184 ), references = 1, size of lhs = 5:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V1,V1), P_star-{F}(V3,V2), P_multiplication-{F}(V3,V2,V4) | P_addition-{T}(V1,V4,V2)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #192: exists( #21, #7 ), references = 6, size of lhs = 6:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V5,V2,V6), P_multiplication-{F}(V5,V3,V7), P_addition-{F}(V6,V7,V8) | P_multiplication-{T}(V5,V4,V8)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #198: exists( #21, #153 ), references = 2, size of lhs = 6:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V1,V1), P_star-{F}(V3,V4), P_addition-{F}(V2,V4,V5), V5 == V4 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #201: exists( #21, #8 ), references = 15, size of lhs = 6:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V2,V5,V6), P_multiplication-{F}(V3,V5,V7), P_addition-{F}(V6,V7,V8) | P_multiplication-{T}(V4,V5,V8)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #206: exists( #19, #198 ), references = 6, size of lhs = 4:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V1,V1), P_star-{F}(V3,V4) | P_addition-{T}(V2,V4,V4)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #252: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17; #238 ), references = 1, size of lhs = 14:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V3), P_multiplication-{F}(V4,V5,V3), P_addition-{F}(V5,V6,V7), P_multiplication-{F}(V4,V6,V8), P_addition-{F}(V2,V8,V9), P_star-{F}(V10,V11), P_multiplication-{F}(V10,V11,V9), P_multiplication-{F}(V1,V12,V11), P_star-{F}(V13,V12), P_multiplication-{F}(V1,V13,V14), P_multiplication-{F}(V9,V13,V15), P_addition-{F}(V14,V15,V9) | P_multiplication-{T}(V4,V7,V11)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #267: exists( #21, #4 ), references = 8, size of lhs = 4:
% 230.24/230.48 P_zero-{F}(V0), P_multiplication-{F}(V1,V2,V3), P_multiplication-{F}(V4,V1,V5), P_multiplication-{F}(V5,V2,V6) | P_multiplication-{T}(V4,V3,V6)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #296: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #291 ), references = 1, size of lhs = 6:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V2), P_star-{F}(V3,V2), P_multiplication-{F}(V4,V3,V2), P_addition-{F}(V2,V4,V2) | P_multiplication-{T}(V2,V3,V2)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #337: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #327 ), references = 3, size of lhs = 14:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_addition-{F}(V4,V3,V3), P_addition-{F}(V5,V6,V2), P_multiplication-{F}(V5,V3,V7), P_multiplication-{F}(V6,V4,V8), P_addition-{F}(V7,V8,V9), P_multiplication-{F}(V10,V3,V9), P_addition-{F}(V10,V6,V11), P_multiplication-{F}(V11,V3,V12), P_addition-{F}(V1,V12,V13), P_addition-{F}(V13,V3,V14), V14 == V3 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #344: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #328 ), references = 1, size of lhs = 17:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2,V3), P_star-{F}(V3,V4), P_addition-{F}(V2,V3,V5), P_star-{F}(V5,V6), leq-{F}(V6,V4), P_addition-{F}(V7,V6,V6), P_star-{F}(V8,V6), P_addition-{F}(V1,V9,V4), P_multiplication-{F}(V10,V6,V9), P_addition-{F}(V11,V12,V8), P_multiplication-{F}(V11,V6,V13), P_multiplication-{F}(V12,V7,V14), P_addition-{F}(V13,V14,V15), P_multiplication-{F}(V16,V6,V15), P_addition-{F}(V16,V12,V10) | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #351: mergings( V3 == V5, V4 == V6; #348 ), references = 12, size of lhs = 7:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3), P_addition-{F}(V4,V3,V5), P_multiplication-{F}(V6,V5,V7), P_multiplication-{F}(V6,V4,V8), P_multiplication-{F}(V6,V2,V8) | P_multiplication-{T}(V6,V3,V7)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #361: mergings( V3 == V5, V4 == V6; #358 ), references = 4, size of lhs = 13:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V2), P_addition-{F}(V3,V2,V2), P_multiplication-{F}(V4,V2,V2), P_star-{F}(V5,V2), P_addition-{F}(V6,V4,V6), P_addition-{F}(V7,V8,V5), P_multiplication-{F}(V7,V2,V9), P_multiplication-{F}(V8,V3,V10), P_addition-{F}(V9,V10,V11), P_multiplication-{F}(V12,V2,V11), P_addition-{F}(V12,V8,V6) | P_multiplication-{T}(V6,V2,V2)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #388: mergings( V19 == V0, V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V21 == V23, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #371 ), references = 2, size of lhs = 12:
% 230.24/230.48 P_one-{F}(V0), P_addition-{F}(V0,V0,V0), P_zero-{F}(V1), P_multiplication-{F}(V2,V1,V1), P_addition-{F}(V0,V2,V3), P_addition-{F}(V3,V0,V3), P_multiplication-{F}(V3,V3,V4), P_multiplication-{F}(V4,V0,V5), P_multiplication-{F}(V4,V6,V5), P_multiplication-{F}(V6,V3,V7), P_addition-{F}(V7,V0,V8), leq-{F}(V8,V6) | P_star-{T}(V3,V5)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #423: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #417 ), references = 4, size of lhs = 10:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_addition-{F}(V4,V2,V5), P_multiplication-{F}(V3,V6,V7), P_multiplication-{F}(V4,V8,V6), P_multiplication-{F}(V5,V8,V9), leq-{F}(V9,V8), P_addition-{F}(V7,V8,V10), V10 == V8 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #426: mergings( V3 == V5, V4 == V6; #418 ), references = 2, size of lhs = 13:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), pppp0-{F}(V4,V5), P_star-{F}(V5,V6), P_addition-{F}(V4,V5,V7), P_star-{F}(V7,V8), leq-{F}(V8,V6), P_multiplication-{F}(V3,V9,V6), P_multiplication-{F}(V10,V8,V9), P_addition-{F}(V10,V2,V11), P_multiplication-{F}(V11,V8,V12), leq-{F}(V12,V8) | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #482: mergings( V24 == V0, V2 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V21, V30 == V29, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V22; #460 ), references = 3, size of lhs = 18:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), P_multiplication-{F}(V2,V0,V0), P_addition-{F}(V1,V2,V3), P_addition-{F}(V3,V1,V3), P_multiplication-{F}(V3,V1,V4), P_addition-{F}(V1,V5,V3), P_star-{F}(V5,V6), P_multiplication-{F}(V7,V3,V6), P_multiplication-{F}(V7,V4,V8), P_multiplication-{F}(V7,V8,V8), P_multiplication-{F}(V8,V3,V9), P_addition-{F}(V9,V1,V10), leq-{F}(V10,V8), P_star-{F}(V11,V8), pppp0-{F}(V12,V11), P_addition-{F}(V12,V11,V3) | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #549: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #544 ), references = 1, size of lhs = 20:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V3), P_multiplication-{F}(V4,V5,V3), P_addition-{F}(V5,V6,V7), P_multiplication-{F}(V4,V6,V8), P_addition-{F}(V2,V8,V9), P_addition-{F}(V7,V10,V11), P_multiplication-{F}(V4,V11,V12), P_multiplication-{F}(V4,V10,V13), V12 == V13, P_addition-{F}(V14,V13,V13), P_star-{F}(V15,V13), P_multiplication-{F}(V16,V13,V9), P_addition-{F}(V17,V18,V15), P_multiplication-{F}(V17,V13,V19), P_multiplication-{F}(V18,V14,V20), P_addition-{F}(V19,V20,V21), P_multiplication-{F}(V22,V13,V21), P_addition-{F}(V22,V18,V16) | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #557: mergings( V3 == V4, V4 == V6, V6 == V8, V5 == V7, V7 == V9; #551 ), references = 1, size of lhs = 20:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V3), P_multiplication-{F}(V4,V5,V3), P_multiplication-{F}(V4,V6,V7), P_multiplication-{F}(V6,V8,V9), P_addition-{F}(V5,V10,V11), P_multiplication-{F}(V4,V10,V12), P_addition-{F}(V2,V12,V13), P_addition-{F}(V11,V14,V9), P_multiplication-{F}(V4,V14,V15), P_addition-{F}(V16,V15,V15), P_star-{F}(V17,V15), P_multiplication-{F}(V18,V15,V13), P_addition-{F}(V19,V20,V17), P_multiplication-{F}(V19,V15,V21), P_multiplication-{F}(V20,V16,V22), P_addition-{F}(V21,V22,V23), P_multiplication-{F}(V24,V15,V23), P_addition-{F}(V24,V20,V18) | P_multiplication-{T}(V7,V8,V15)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #583: mergings( V27 == V0, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V19, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V20; #565 ), references = 2, size of lhs = 37:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), P_multiplication-{F}(V2,V0,V0), P_addition-{F}(V1,V2,V3), P_addition-{F}(V3,V1,V3), P_multiplication-{F}(V3,V1,V3), P_addition-{F}(V1,V4,V3), P_star-{F}(V4,V5), P_addition-{F}(V6,V5,V5), P_addition-{F}(V5,V1,V7), leq-{F}(V7,V5), P_multiplication-{F}(V8,V3,V5), P_multiplication-{F}(V5,V8,V5), P_addition-{F}(V9,V5,V5), P_addition-{F}(V10,V5,V5), P_star-{F}(V11,V5), P_multiplication-{F}(V11,V9,V12), P_addition-{F}(V1,V12,V13), P_addition-{F}(V11,V14,V11), P_multiplication-{F}(V14,V6,V15), P_multiplication-{F}(V11,V10,V15), P_star-{F}(V16,V5), pppp0-{F}(V17,V16), P_addition-{F}(V17,V16,V3), P_multiplication-{F}(V18,V5,V19), P_multiplication-{F}(V20,V18,V5), P_multiplication-{F}(V20,V21,V5), P_multiplication-{F}(V20,V22,V13), P_addition-{F}(V23,V21,V19), P_addition-{F}(V22,V24,V23), P_addition-{F}(V25,V26,V20), P_multiplication-{F}(V25,V24,V27), P_multiplication-{F}(V26,V24,V28), P_multiplication-{F}(V11,V29,V27), P_multiplication-{F}(V11,V30,V28), P_addition-{F}(V29,V30,V5) | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #684: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V16, V5 == V7, V7 == V10, V10 == V12, V12 == V15, V15 == V17; #670 ), references = 1, size of lhs = 17:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_multiplication-{F}(V4,V2,V5), P_multiplication-{F}(V5,V3,V6), P_addition-{F}(V6,V5,V7), P_multiplication-{F}(V8,V9,V5), P_addition-{F}(V8,V10,V11), P_multiplication-{F}(V10,V9,V12), P_multiplication-{F}(V13,V2,V12), P_addition-{F}(V4,V13,V14), P_addition-{F}(V7,V12,V15), P_multiplication-{F}(V16,V9,V12), P_multiplication-{F}(V17,V11,V16), P_multiplication-{F}(V17,V18,V5), P_addition-{F}(V18,V19,V14), P_multiplication-{F}(V17,V19,V12) | P_multiplication-{T}(V11,V9,V15)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #735: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #729 ), references = 2, size of lhs = 12:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V3), P_multiplication-{F}(V4,V5,V3), P_addition-{F}(V5,V6,V7), P_multiplication-{F}(V4,V6,V8), P_addition-{F}(V2,V8,V9), P_star-{F}(V10,V11), P_multiplication-{F}(V10,V11,V9), P_addition-{F}(V1,V11,V12), P_addition-{F}(V9,V12,V13), V13 == V11 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #742: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #730 ), references = 1, size of lhs = 13:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V3), P_multiplication-{F}(V4,V5,V3), P_addition-{F}(V5,V6,V7), P_multiplication-{F}(V4,V6,V8), P_addition-{F}(V2,V8,V9), P_star-{F}(V10,V11), P_multiplication-{F}(V10,V11,V9), P_multiplication-{F}(V12,V7,V11), P_addition-{F}(V4,V12,V13), P_multiplication-{F}(V13,V7,V14), V14 == V11 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #755: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #747 ), references = 4, size of lhs = 13:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V3), P_multiplication-{F}(V4,V5,V3), P_addition-{F}(V5,V6,V7), P_multiplication-{F}(V4,V6,V8), P_addition-{F}(V2,V8,V9), P_multiplication-{F}(V10,V11,V9), P_addition-{F}(V10,V12,V13), P_multiplication-{F}(V12,V11,V14), P_addition-{F}(V1,V15,V14), P_star-{F}(V16,V15), P_multiplication-{F}(V16,V15,V9) | P_multiplication-{T}(V13,V11,V15)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #766: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #748 ), references = 1, size of lhs = 17:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V3), P_multiplication-{F}(V4,V5,V3), P_addition-{F}(V5,V6,V7), P_multiplication-{F}(V4,V6,V8), P_addition-{F}(V2,V8,V9), P_addition-{F}(V10,V11,V7), P_star-{F}(V12,V13), P_multiplication-{F}(V12,V13,V9), P_multiplication-{F}(V14,V7,V13), P_addition-{F}(V4,V14,V15), P_multiplication-{F}(V15,V10,V16), P_multiplication-{F}(V15,V11,V17), P_multiplication-{F}(V18,V19,V17), P_multiplication-{F}(V20,V19,V16), P_addition-{F}(V18,V20,V21) | P_multiplication-{T}(V21,V19,V13)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #819: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #812 ), references = 3, size of lhs = 13:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V3), P_multiplication-{F}(V4,V5,V3), P_addition-{F}(V4,V6,V7), P_multiplication-{F}(V6,V5,V8), P_addition-{F}(V2,V8,V9), P_addition-{F}(V10,V7,V11), P_multiplication-{F}(V11,V5,V12), P_multiplication-{F}(V10,V5,V13), V12 == V13, P_star-{F}(V14,V13), P_multiplication-{F}(V13,V14,V9) | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #833: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #826 ), references = 2, size of lhs = 18:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_addition-{F}(V3,V4,V3), P_multiplication-{F}(V4,V2,V5), P_addition-{F}(V1,V5,V6), P_addition-{F}(V7,V8,V3), P_multiplication-{F}(V7,V2,V9), P_multiplication-{F}(V8,V2,V10), P_multiplication-{F}(V11,V12,V9), P_multiplication-{F}(V11,V13,V10), P_addition-{F}(V12,V13,V14), P_multiplication-{F}(V15,V14,V6), P_multiplication-{F}(V16,V14,V3), P_addition-{F}(V15,V11,V17), P_addition-{F}(V16,V17,V18), P_multiplication-{F}(V18,V14,V19), V19 == V3 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #844: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #835 ), references = 2, size of lhs = 20:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_addition-{F}(V3,V4,V3), P_multiplication-{F}(V4,V2,V5), P_addition-{F}(V1,V5,V6), P_addition-{F}(V7,V8,V3), P_multiplication-{F}(V7,V2,V9), P_multiplication-{F}(V8,V2,V10), P_multiplication-{F}(V11,V12,V9), P_multiplication-{F}(V11,V13,V10), P_addition-{F}(V12,V13,V14), P_addition-{F}(V15,V14,V14), P_multiplication-{F}(V16,V14,V6), P_multiplication-{F}(V17,V14,V3), P_addition-{F}(V16,V11,V18), P_addition-{F}(V17,V18,V19), P_multiplication-{F}(V19,V15,V20), P_multiplication-{F}(V19,V21,V20), P_addition-{F}(V21,V14,V22) | P_multiplication-{T}(V19,V22,V3)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #849: mergings( V3 == V5, V4 == V6; #846 ), references = 1, size of lhs = 33:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), P_multiplication-{F}(V2,V0,V0), P_addition-{F}(V1,V2,V3), P_addition-{F}(V3,V1,V3), P_multiplication-{F}(V3,V1,V4), P_addition-{F}(V1,V5,V3), P_star-{F}(V5,V6), P_multiplication-{F}(V7,V3,V6), P_multiplication-{F}(V7,V4,V8), P_multiplication-{F}(V7,V8,V8), leq-{F}(V9,V8), P_star-{F}(V10,V8), pppp0-{F}(V11,V10), P_addition-{F}(V11,V10,V3), P_addition-{F}(V12,V1,V9), P_star-{F}(V13,V12), P_addition-{F}(V12,V14,V12), P_multiplication-{F}(V14,V13,V15), P_addition-{F}(V1,V15,V16), P_addition-{F}(V17,V18,V12), P_multiplication-{F}(V18,V13,V19), P_multiplication-{F}(V17,V20,V19), P_addition-{F}(V13,V20,V21), P_addition-{F}(V22,V21,V21), P_multiplication-{F}(V23,V21,V16), P_multiplication-{F}(V24,V21,V12), P_addition-{F}(V23,V17,V25), P_addition-{F}(V24,V25,V8), P_multiplication-{F}(V8,V22,V26), P_multiplication-{F}(V8,V27,V26), P_addition-{F}(V27,V21,V3) | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #930: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #924 ), references = 1, size of lhs = 8:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_addition-{F}(V4,V3,V3), P_multiplication-{F}(V5,V4,V6), P_multiplication-{F}(V6,V2,V7), P_addition-{F}(V7,V5,V8), leq-{F}(V8,V6) | P_multiplication-{T}(V5,V3,V6)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #935: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #925 ), references = 1, size of lhs = 8:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_addition-{F}(V3,V4,V3), P_multiplication-{F}(V5,V4,V6), P_multiplication-{F}(V6,V2,V7), P_addition-{F}(V7,V5,V8), leq-{F}(V8,V6) | P_multiplication-{T}(V5,V3,V6)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #1008: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #1003 ), references = 5, size of lhs = 11:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_addition-{F}(V4,V2,V5), P_addition-{F}(V6,V7,V7), P_addition-{F}(V8,V7,V3), P_multiplication-{F}(V8,V9,V10), P_multiplication-{F}(V4,V10,V9), P_multiplication-{F}(V6,V9,V10), P_multiplication-{F}(V5,V10,V11), leq-{F}(V11,V10) | P_multiplication-{T}(V7,V9,V10)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #1080: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #1071 ), references = 3, size of lhs = 24:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V2,V2), P_star-{F}(V3,V2), P_addition-{F}(V1,V2,V4), P_multiplication-{F}(V5,V2,V4), P_addition-{F}(V3,V5,V6), P_addition-{F}(V7,V2,V2), P_multiplication-{F}(V3,V7,V8), P_addition-{F}(V1,V8,V9), P_star-{F}(V10,V11), P_addition-{F}(V12,V10,V6), P_multiplication-{F}(V12,V2,V13), P_multiplication-{F}(V11,V13,V14), P_addition-{F}(V14,V2,V15), V15 == V2, P_addition-{F}(V16,V17,V2), P_multiplication-{F}(V3,V16,V18), P_multiplication-{F}(V3,V17,V19), P_multiplication-{F}(V20,V21,V18), P_multiplication-{F}(V22,V21,V19), P_addition-{F}(V20,V22,V23), P_multiplication-{F}(V23,V24,V9), P_addition-{F}(V24,V21,V25) | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #1226: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V19, V19 == V21, V21 == V22, V22 == V24, V24 == V26, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V20, V20 == V23, V23 == V25, V25 == V27; #1200 ), references = 1, size of lhs = 36:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V2), leq-{F}(V3,V3), P_addition-{F}(V1,V3,V4), P_star-{F}(V5,V3), P_addition-{F}(V3,V6,V3), P_multiplication-{F}(V5,V6,V7), P_addition-{F}(V1,V7,V8), P_multiplication-{F}(V9,V3,V4), P_addition-{F}(V5,V9,V10), P_addition-{F}(V11,V10,V10), P_multiplication-{F}(V5,V11,V12), P_multiplication-{F}(V5,V13,V12), P_addition-{F}(V13,V10,V3), P_addition-{F}(V14,V5,V10), P_multiplication-{F}(V14,V3,V15), P_multiplication-{F}(V2,V16,V15), P_addition-{F}(V16,V7,V15), P_multiplication-{F}(V17,V5,V18), P_multiplication-{F}(V5,V19,V18), P_addition-{F}(V19,V20,V3), P_multiplication-{F}(V5,V20,V21), P_multiplication-{F}(V22,V5,V21), P_addition-{F}(V17,V22,V23), P_multiplication-{F}(V23,V24,V8), P_addition-{F}(V24,V5,V25), P_addition-{F}(V23,V26,V23), P_star-{F}(V26,V27), P_addition-{F}(V23,V2,V27), P_star-{F}(V28,V29), P_addition-{F}(V30,V28,V2), P_multiplication-{F}(V30,V3,V31), P_multiplication-{F}(V29,V31,V32), P_addition-{F}(V32,V3,V33), V33 == V3 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #1251: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V19, V19 == V21, V21 == V22, V22 == V24, V24 == V26, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V20, V20 == V23, V23 == V25, V25 == V27, V1 == V29; #1201 ), references = 1, size of lhs = 44:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V2), leq-{F}(V3,V3), P_addition-{F}(V3,V3,V3), P_addition-{F}(V1,V3,V3), P_star-{F}(V4,V3), P_addition-{F}(V5,V3,V3), P_multiplication-{F}(V4,V5,V6), P_addition-{F}(V1,V6,V7), P_addition-{F}(V4,V2,V8), P_addition-{F}(V3,V9,V3), P_multiplication-{F}(V4,V9,V10), P_addition-{F}(V1,V10,V11), P_multiplication-{F}(V12,V3,V3), P_addition-{F}(V4,V12,V13), P_addition-{F}(V14,V13,V13), P_multiplication-{F}(V4,V14,V15), P_multiplication-{F}(V4,V16,V15), P_addition-{F}(V16,V13,V3), P_addition-{F}(V17,V4,V13), P_multiplication-{F}(V17,V3,V18), P_multiplication-{F}(V2,V19,V18), P_addition-{F}(V19,V10,V18), P_multiplication-{F}(V20,V4,V21), P_multiplication-{F}(V4,V22,V21), P_addition-{F}(V22,V23,V3), P_multiplication-{F}(V4,V23,V24), P_multiplication-{F}(V25,V4,V24), P_addition-{F}(V20,V25,V26), P_multiplication-{F}(V26,V27,V11), P_addition-{F}(V27,V4,V28), P_addition-{F}(V26,V29,V26), P_star-{F}(V29,V30), P_addition-{F}(V26,V2,V30), P_addition-{F}(V26,V26,V31), P_multiplication-{F}(V31,V32,V7), P_addition-{F}(V32,V4,V33), P_star-{F}(V34,V35), P_addition-{F}(V36,V34,V8), P_multiplication-{F}(V36,V3,V37), P_multiplication-{F}(V35,V37,V38), P_addition-{F}(V38,V3,V39), V39 == V3 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #1335: mergings( V53 == V0, V2 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V40, V40 == V42, V42 == V43, V43 == V45, V45 == V47, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38, V55 == V0, V38 == V41, V41 == V44, V44 == V46, V46 == V48; #1286 ), references = 1, size of lhs = 40:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), P_addition-{F}(V1,V2,V2), P_addition-{F}(V1,V3,V3), P_addition-{F}(V0,V4,V0), P_multiplication-{F}(V5,V0,V4), P_addition-{F}(V0,V5,V6), P_addition-{F}(V6,V1,V6), leq-{F}(V6,V6), P_addition-{F}(V2,V6,V6), P_multiplication-{F}(V6,V1,V6), P_addition-{F}(V1,V6,V6), P_multiplication-{F}(V7,V6,V6), P_addition-{F}(V7,V6,V3), P_star-{F}(V8,V6), P_addition-{F}(V6,V9,V6), P_multiplication-{F}(V8,V9,V10), P_addition-{F}(V1,V10,V11), P_multiplication-{F}(V12,V6,V6), P_addition-{F}(V8,V12,V13), P_addition-{F}(V14,V13,V13), P_multiplication-{F}(V8,V14,V15), P_multiplication-{F}(V8,V16,V15), P_addition-{F}(V16,V13,V6), P_addition-{F}(V17,V8,V13), P_multiplication-{F}(V17,V6,V18), P_multiplication-{F}(V3,V19,V18), P_addition-{F}(V19,V10,V18), P_multiplication-{F}(V20,V8,V21), P_multiplication-{F}(V8,V22,V21), P_addition-{F}(V22,V23,V6), P_multiplication-{F}(V8,V23,V24), P_multiplication-{F}(V25,V8,V24), P_addition-{F}(V20,V25,V26), P_multiplication-{F}(V26,V27,V11), P_addition-{F}(V27,V8,V28), P_addition-{F}(V26,V29,V26), P_star-{F}(V29,V30), P_addition-{F}(V26,V3,V30) | P_star-{T}(V6,V6)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #1383: mergings( V53 == V0, V2 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V40, V40 == V42, V42 == V43, V43 == V45, V45 == V47, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38, V54 == V0, V38 == V41, V41 == V44, V44 == V46, V46 == V48; #1287 ), references = 1, size of lhs = 48:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), P_addition-{F}(V1,V2,V2), P_addition-{F}(V1,V3,V3), P_addition-{F}(V0,V4,V0), P_multiplication-{F}(V5,V0,V4), P_addition-{F}(V0,V5,V6), P_addition-{F}(V6,V1,V6), leq-{F}(V6,V6), P_addition-{F}(V6,V6,V6), P_addition-{F}(V3,V6,V6), P_multiplication-{F}(V6,V1,V6), P_addition-{F}(V1,V6,V6), P_star-{F}(V7,V6), P_addition-{F}(V8,V6,V6), P_multiplication-{F}(V7,V8,V9), P_addition-{F}(V1,V9,V10), P_addition-{F}(V7,V2,V11), P_addition-{F}(V6,V12,V6), P_multiplication-{F}(V7,V12,V13), P_addition-{F}(V1,V13,V14), P_multiplication-{F}(V15,V6,V6), P_addition-{F}(V7,V15,V16), P_addition-{F}(V17,V16,V16), P_multiplication-{F}(V7,V17,V18), P_multiplication-{F}(V7,V19,V18), P_addition-{F}(V19,V16,V6), P_addition-{F}(V20,V7,V16), P_multiplication-{F}(V20,V6,V21), P_multiplication-{F}(V2,V22,V21), P_addition-{F}(V22,V13,V21), P_multiplication-{F}(V23,V6,V6), P_addition-{F}(V23,V6,V11), P_multiplication-{F}(V24,V7,V25), P_multiplication-{F}(V7,V26,V25), P_addition-{F}(V26,V27,V6), P_multiplication-{F}(V7,V27,V28), P_multiplication-{F}(V29,V7,V28), P_addition-{F}(V24,V29,V30), P_multiplication-{F}(V30,V31,V14), P_addition-{F}(V31,V7,V32), P_addition-{F}(V30,V33,V30), P_star-{F}(V33,V34), P_addition-{F}(V30,V2,V34), P_addition-{F}(V30,V30,V35), P_multiplication-{F}(V35,V36,V10), P_addition-{F}(V36,V7,V37) | P_star-{T}(V6,V6)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #1471: exists( #19, #735 ), references = 2, size of lhs = 11:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V3), P_multiplication-{F}(V4,V5,V3), P_multiplication-{F}(V4,V6,V7), P_addition-{F}(V2,V7,V8), P_star-{F}(V9,V10), P_multiplication-{F}(V9,V10,V8), P_addition-{F}(V1,V10,V11), P_addition-{F}(V8,V11,V12), V12 == V10 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #1472: exists( #19, #1080 ), references = 4, size of lhs = 23:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V2,V2), P_star-{F}(V3,V2), P_addition-{F}(V1,V2,V4), P_multiplication-{F}(V5,V2,V4), P_addition-{F}(V3,V5,V6), P_addition-{F}(V7,V2,V2), P_multiplication-{F}(V3,V7,V8), P_addition-{F}(V1,V8,V9), P_star-{F}(V10,V11), P_addition-{F}(V12,V10,V6), P_multiplication-{F}(V12,V2,V13), P_multiplication-{F}(V11,V13,V14), P_addition-{F}(V14,V2,V15), V15 == V2, P_addition-{F}(V16,V17,V2), P_multiplication-{F}(V3,V16,V18), P_multiplication-{F}(V3,V17,V19), P_multiplication-{F}(V20,V21,V18), P_multiplication-{F}(V22,V21,V19), P_addition-{F}(V20,V22,V23), P_multiplication-{F}(V23,V24,V9) | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #1489: mergings( V3 == V5, V5 == V7, V7 == V8, V4 == V6, V6 == V9; #1483 ), references = 1, size of lhs = 32:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V2,V2), P_star-{F}(V3,V2), P_addition-{F}(V1,V2,V4), P_multiplication-{F}(V5,V2,V4), P_addition-{F}(V3,V5,V6), P_addition-{F}(V7,V2,V2), P_multiplication-{F}(V3,V7,V8), P_addition-{F}(V1,V8,V9), P_multiplication-{F}(V10,V11,V2), P_addition-{F}(V12,V10,V13), P_multiplication-{F}(V13,V11,V14), V14 == V2, P_multiplication-{F}(V12,V11,V15), P_star-{F}(V16,V17), P_addition-{F}(V18,V16,V6), P_multiplication-{F}(V18,V2,V19), P_multiplication-{F}(V17,V19,V15), P_addition-{F}(V20,V21,V2), P_multiplication-{F}(V3,V20,V22), P_multiplication-{F}(V3,V21,V23), P_multiplication-{F}(V14,V24,V22), P_multiplication-{F}(V25,V24,V26), P_multiplication-{F}(V27,V26,V23), P_multiplication-{F}(V28,V25,V29), P_addition-{F}(V29,V30,V2), P_addition-{F}(V30,V15,V31), P_multiplication-{F}(V32,V25,V31), P_addition-{F}(V28,V32,V33), P_addition-{F}(V33,V27,V34), P_multiplication-{F}(V34,V35,V9) | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #1496: mergings( V3 == V5, V4 == V6; #1493 ), references = 4, size of lhs = 19:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V2), leq-{F}(V3,V3), P_star-{F}(V4,V3), P_addition-{F}(V1,V3,V5), P_multiplication-{F}(V6,V3,V5), P_addition-{F}(V4,V6,V7), P_addition-{F}(V8,V3,V3), P_multiplication-{F}(V4,V8,V9), P_addition-{F}(V1,V9,V10), P_multiplication-{F}(V2,V11,V10), P_addition-{F}(V12,V12,V3), P_star-{F}(V13,V14), P_addition-{F}(V15,V13,V7), P_multiplication-{F}(V15,V3,V16), P_multiplication-{F}(V14,V16,V17), P_addition-{F}(V17,V3,V18), V18 == V3 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #1554: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #1548 ), references = 3, size of lhs = 23:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V2), leq-{F}(V3,V3), P_star-{F}(V4,V3), P_addition-{F}(V1,V3,V5), P_multiplication-{F}(V6,V3,V5), P_addition-{F}(V4,V6,V7), P_addition-{F}(V8,V3,V3), P_multiplication-{F}(V4,V8,V9), P_addition-{F}(V1,V9,V10), P_multiplication-{F}(V2,V11,V10), P_addition-{F}(V12,V12,V3), P_star-{F}(V13,V14), P_addition-{F}(V15,V13,V7), P_multiplication-{F}(V15,V3,V16), P_addition-{F}(V17,V18,V14), P_multiplication-{F}(V18,V16,V19), P_multiplication-{F}(V20,V16,V19), P_addition-{F}(V20,V17,V21), P_multiplication-{F}(V21,V16,V22), P_addition-{F}(V22,V3,V23), V23 == V3 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #1561: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #1549 ), references = 1, size of lhs = 23:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V2), leq-{F}(V3,V3), P_star-{F}(V4,V3), P_addition-{F}(V1,V3,V5), P_multiplication-{F}(V6,V3,V5), P_addition-{F}(V4,V6,V7), P_addition-{F}(V8,V3,V3), P_multiplication-{F}(V4,V8,V9), P_addition-{F}(V1,V9,V10), P_multiplication-{F}(V2,V11,V10), P_addition-{F}(V12,V12,V3), P_multiplication-{F}(V13,V3,V12), P_addition-{F}(V13,V14,V7), P_star-{F}(V14,V15), P_addition-{F}(V4,V16,V15), P_multiplication-{F}(V16,V12,V17), P_multiplication-{F}(V18,V12,V17), P_addition-{F}(V18,V4,V19), P_multiplication-{F}(V19,V12,V20), P_addition-{F}(V20,V3,V21), V21 == V3 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #1583: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #1577 ), references = 1, size of lhs = 9:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_multiplication-{F}(V4,V1,V3), P_addition-{F}(V3,V5,V3), P_multiplication-{F}(V5,V2,V6), P_addition-{F}(V4,V6,V6), P_addition-{F}(V1,V6,V7), P_multiplication-{F}(V6,V1,V7) | P_multiplication-{T}(V3,V2,V3)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #1590: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #1578 ), references = 1, size of lhs = 14:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), P_star-{F}(V2,V3), P_addition-{F}(V3,V4,V3), P_multiplication-{F}(V4,V2,V5), P_addition-{F}(V1,V5,V6), P_multiplication-{F}(V7,V2,V0), P_multiplication-{F}(V8,V1,V3), P_addition-{F}(V7,V9,V3), P_addition-{F}(V9,V10,V9), P_multiplication-{F}(V10,V2,V11), P_addition-{F}(V8,V11,V11), P_multiplication-{F}(V11,V1,V6) | P_multiplication-{T}(V9,V2,V3)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #1612: mergings( V3 == V5, V4 == V6; #1607 ), references = 5, size of lhs = 14:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V3), P_multiplication-{F}(V4,V5,V3), P_multiplication-{F}(V4,V6,V7), P_addition-{F}(V2,V7,V8), P_addition-{F}(V8,V9,V10), P_multiplication-{F}(V11,V12,V10), P_addition-{F}(V11,V13,V14), P_multiplication-{F}(V13,V12,V15), P_addition-{F}(V9,V15,V16), P_addition-{F}(V1,V17,V16), P_star-{F}(V18,V17), P_multiplication-{F}(V18,V17,V8) | P_multiplication-{T}(V14,V12,V17)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #1615: mergings( V3 == V5, V4 == V6; #1608 ), references = 1, size of lhs = 22:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V2), leq-{F}(V3,V3), P_star-{F}(V4,V3), P_addition-{F}(V1,V3,V5), P_multiplication-{F}(V6,V3,V5), P_addition-{F}(V4,V6,V7), P_addition-{F}(V8,V3,V3), P_multiplication-{F}(V4,V8,V9), P_addition-{F}(V1,V9,V10), P_multiplication-{F}(V2,V11,V10), P_addition-{F}(V12,V12,V3), P_star-{F}(V13,V14), P_addition-{F}(V15,V13,V7), P_multiplication-{F}(V15,V3,V16), P_multiplication-{F}(V14,V16,V17), P_addition-{F}(V17,V18,V19), P_addition-{F}(V18,V20,V3), P_multiplication-{F}(V21,V22,V19), P_multiplication-{F}(V23,V22,V20), P_addition-{F}(V21,V23,V24) | P_multiplication-{T}(V24,V22,V3)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #1618: mergings( V3 == V5, V4 == V6; #1609 ), references = 1, size of lhs = 26:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V2,V2), P_star-{F}(V3,V2), P_addition-{F}(V1,V2,V4), P_multiplication-{F}(V5,V2,V4), P_addition-{F}(V3,V5,V6), P_addition-{F}(V7,V2,V2), P_multiplication-{F}(V3,V7,V8), P_addition-{F}(V1,V8,V9), P_star-{F}(V10,V11), P_addition-{F}(V12,V10,V6), P_multiplication-{F}(V12,V2,V13), P_multiplication-{F}(V11,V13,V14), P_addition-{F}(V14,V15,V16), P_addition-{F}(V15,V17,V2), P_multiplication-{F}(V18,V19,V16), P_multiplication-{F}(V20,V19,V17), P_addition-{F}(V18,V20,V21), P_addition-{F}(V22,V23,V2), P_multiplication-{F}(V3,V22,V24), P_multiplication-{F}(V3,V23,V25), P_multiplication-{F}(V26,V27,V24), P_multiplication-{F}(V28,V27,V25), P_addition-{F}(V26,V28,V29), P_multiplication-{F}(V29,V30,V9) | P_multiplication-{T}(V21,V19,V2)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #1631: mergings( V3 == V4, V4 == V6, V6 == V8, V5 == V7, V7 == V9, V13 == V15; #1624 ), references = 1, size of lhs = 27:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V2), P_addition-{F}(V1,V0,V3), P_multiplication-{F}(V1,V4,V3), leq-{F}(V5,V5), P_star-{F}(V6,V5), P_star-{F}(V7,V5), P_addition-{F}(V1,V5,V8), P_multiplication-{F}(V9,V5,V8), P_addition-{F}(V7,V9,V10), P_addition-{F}(V11,V5,V5), P_multiplication-{F}(V7,V11,V12), P_addition-{F}(V1,V12,V13), P_multiplication-{F}(V2,V14,V13), P_addition-{F}(V15,V15,V5), P_multiplication-{F}(V16,V5,V5), P_addition-{F}(V0,V17,V8), P_multiplication-{F}(V18,V5,V17), P_addition-{F}(V6,V18,V19), P_addition-{F}(V19,V20,V10), P_star-{F}(V20,V21), P_addition-{F}(V22,V19,V21), P_addition-{F}(V16,V22,V23), P_multiplication-{F}(V23,V5,V24), P_addition-{F}(V24,V5,V25), V25 == V5 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #1642: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V10, V4 == V7, V7 == V9, V9 == V11, V15 == V18; #1633 ), references = 3, size of lhs = 26:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V2), P_addition-{F}(V1,V0,V3), P_multiplication-{F}(V1,V4,V3), leq-{F}(V5,V5), P_star-{F}(V6,V5), P_star-{F}(V7,V5), P_addition-{F}(V1,V5,V8), P_multiplication-{F}(V9,V5,V8), P_addition-{F}(V7,V9,V10), P_addition-{F}(V11,V5,V5), P_multiplication-{F}(V7,V11,V12), P_addition-{F}(V1,V12,V13), P_multiplication-{F}(V2,V14,V13), P_addition-{F}(V15,V15,V5), P_multiplication-{F}(V16,V5,V5), P_multiplication-{F}(V17,V5,V5), P_addition-{F}(V0,V18,V8), P_multiplication-{F}(V19,V5,V18), P_addition-{F}(V6,V19,V20), P_addition-{F}(V20,V21,V10), P_star-{F}(V21,V22), P_addition-{F}(V23,V20,V22), P_addition-{F}(V16,V23,V24), P_addition-{F}(V24,V17,V24) | P_multiplication-{T}(V24,V5,V5)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #1692: mergings( V30 == V49, V6 == V0, V44 == V64, V3 == V4, V4 == V5, V5 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V20, V20 == V25, V25 == V28, V28 == V40, V37 == V32, V32 == V52, V52 == V53, V31 == V53, V7 == V9, V9 == V12, V12 == V14, V14 == V19, V19 == V21, V16 == V23, V21 == V26, V26 == V27, V22 == V27, V27 == V0, V49 == V64, V53 == V64; #1660 ), references = 2, size of lhs = 51:
% 230.24/230.48 P_zero-{F}(V0), P_multiplication-{F}(V1,V0,V0), P_one-{F}(V2), P_addition-{F}(V2,V2,V2), P_addition-{F}(V2,V0,V3), P_multiplication-{F}(V2,V4,V3), P_multiplication-{F}(V2,V5,V3), P_addition-{F}(V2,V1,V6), P_multiplication-{F}(V6,V2,V6), P_addition-{F}(V6,V6,V6), P_addition-{F}(V2,V6,V6), leq-{F}(V6,V6), P_multiplication-{F}(V2,V6,V6), P_addition-{F}(V0,V6,V6), P_addition-{F}(V6,V2,V6), P_addition-{F}(V7,V6,V6), P_addition-{F}(V8,V8,V6), P_multiplication-{F}(V9,V6,V6), P_multiplication-{F}(V10,V6,V6), P_addition-{F}(V11,V6,V6), P_addition-{F}(V12,V12,V6), P_addition-{F}(V13,V6,V6), P_multiplication-{F}(V6,V13,V14), P_addition-{F}(V2,V14,V15), P_multiplication-{F}(V6,V16,V6), P_addition-{F}(V17,V6,V6), P_multiplication-{F}(V6,V17,V18), pppp0-{F}(V2,V19), P_multiplication-{F}(V19,V7,V19), P_star-{F}(V19,V6), P_addition-{F}(V6,V19,V6), P_multiplication-{F}(V19,V11,V20), P_addition-{F}(V2,V20,V21), P_multiplication-{F}(V2,V22,V21), P_multiplication-{F}(V23,V6,V6), P_multiplication-{F}(V23,V24,V6), P_multiplication-{F}(V23,V25,V15), P_addition-{F}(V26,V24,V6), P_addition-{F}(V25,V27,V26), P_multiplication-{F}(V28,V27,V18), P_addition-{F}(V28,V29,V23), P_multiplication-{F}(V29,V27,V6), P_addition-{F}(V30,V19,V6), P_addition-{F}(V31,V2,V30), P_addition-{F}(V9,V31,V32), P_addition-{F}(V32,V10,V32), P_addition-{F}(V16,V32,V32), P_addition-{F}(V6,V32,V6), P_addition-{F}(V32,V6,V6), P_multiplication-{F}(V32,V2,V33), P_multiplication-{F}(V32,V31,V33) | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #1800: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V10, V5 == V7, V7 == V11; #1791 ), references = 1, size of lhs = 21:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V2), P_star-{F}(V3,V1), P_addition-{F}(V4,V4,V4), P_star-{F}(V4,V5), leq-{F}(V5,V5), P_addition-{F}(V3,V5,V5), P_addition-{F}(V1,V5,V6), P_multiplication-{F}(V5,V5,V6), P_addition-{F}(V7,V5,V5), P_multiplication-{F}(V4,V7,V8), P_addition-{F}(V1,V8,V9), P_multiplication-{F}(V2,V10,V9), P_addition-{F}(V11,V11,V5), P_multiplication-{F}(V12,V5,V12), P_multiplication-{F}(V13,V14,V12), P_multiplication-{F}(V15,V14,V4), P_multiplication-{F}(V16,V14,V5), P_addition-{F}(V15,V16,V17), P_multiplication-{F}(V18,V13,V17) | P_addition-{T}(V4,V5,V5)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #1810: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V12, V5 == V7, V7 == V9, V9 == V13; #1792 ), references = 1, size of lhs = 23:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V2), P_addition-{F}(V0,V3,V1), P_addition-{F}(V3,V0,V4), P_star-{F}(V5,V4), P_addition-{F}(V6,V6,V6), P_star-{F}(V6,V7), leq-{F}(V7,V7), P_addition-{F}(V5,V7,V7), P_addition-{F}(V1,V7,V8), P_multiplication-{F}(V7,V7,V8), P_addition-{F}(V9,V7,V7), P_multiplication-{F}(V6,V9,V10), P_addition-{F}(V1,V10,V11), P_multiplication-{F}(V2,V12,V11), P_addition-{F}(V13,V13,V7), P_multiplication-{F}(V14,V7,V14), P_multiplication-{F}(V15,V16,V14), P_multiplication-{F}(V17,V16,V6), P_multiplication-{F}(V18,V16,V7), P_addition-{F}(V17,V18,V19), P_multiplication-{F}(V20,V15,V19) | P_addition-{T}(V6,V7,V7)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #1862: mergings( V3 == V4, V4 == V6, V6 == V8, V5 == V7, V7 == V9; #1854 ), references = 1, size of lhs = 13:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V0,V2), P_multiplication-{F}(V1,V3,V2), P_star-{F}(V4,V5), P_addition-{F}(V1,V5,V6), P_addition-{F}(V5,V7,V5), P_addition-{F}(V0,V8,V6), P_multiplication-{F}(V9,V5,V8), P_addition-{F}(V4,V9,V10), P_multiplication-{F}(V10,V7,V11), P_addition-{F}(V5,V11,V12), V5 == V12 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #1867: mergings( V3 == V4, V4 == V6, V6 == V8, V5 == V7; #1855 ), references = 1, size of lhs = 12:
% 230.24/230.48 P_one-{F}(V0), P_zero-{F}(V1), P_addition-{F}(V0,V1,V2), P_multiplication-{F}(V0,V3,V2), P_star-{F}(V4,V5), P_addition-{F}(V0,V5,V6), P_addition-{F}(V1,V7,V6), P_multiplication-{F}(V8,V5,V7), P_addition-{F}(V4,V8,V9), P_multiplication-{F}(V10,V9,V9), P_multiplication-{F}(V10,V5,V11), V11 == V5 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #1873: mergings( V3 == V4, V4 == V6, V6 == V8, V5 == V7, V7 == V9; #1856 ), references = 1, size of lhs = 13:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V0,V2), P_multiplication-{F}(V1,V3,V2), P_star-{F}(V4,V5), P_addition-{F}(V1,V5,V6), P_addition-{F}(V0,V7,V6), P_multiplication-{F}(V8,V5,V7), P_addition-{F}(V4,V8,V9), P_addition-{F}(V9,V10,V9), P_multiplication-{F}(V10,V5,V11), P_addition-{F}(V5,V11,V12), V5 == V12 | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #1890: mergings( V3 == V4, V4 == V6, V6 == V8, V5 == V7, V7 == V9; #1882 ), references = 3, size of lhs = 13:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V0,V2), P_multiplication-{F}(V1,V3,V2), P_star-{F}(V4,V5), P_addition-{F}(V1,V5,V6), P_addition-{F}(V5,V7,V5), P_addition-{F}(V0,V8,V6), P_multiplication-{F}(V9,V5,V8), P_addition-{F}(V4,V9,V10), P_multiplication-{F}(V10,V7,V11), P_addition-{F}(V12,V13,V11), P_addition-{F}(V5,V12,V14) | P_addition-{T}(V13,V14,V5)
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #1931: mergings( V3 == V4, V4 == V6, V6 == V10, V10 == V14, V14 == V19, V27 == V45, V45 == V46, V26 == V46, V5 == V7, V7 == V11, V8 == V12, V11 == V15, V12 == V17, V15 == V21, V16 == V21, V17 == V22, V25 == V46, V46 == V47, V47 == V49, V49 == V48, V48 == V50; #1909 ), references = 1, size of lhs = 51:
% 230.24/230.48 P_zero-{F}(V0), P_multiplication-{F}(V1,V0,V0), P_one-{F}(V2), P_addition-{F}(V2,V2,V2), P_addition-{F}(V2,V0,V3), P_multiplication-{F}(V2,V4,V3), P_multiplication-{F}(V2,V5,V3), P_multiplication-{F}(V2,V6,V3), P_multiplication-{F}(V2,V7,V3), P_multiplication-{F}(V2,V8,V3), P_addition-{F}(V2,V1,V9), leq-{F}(V9,V9), P_multiplication-{F}(V2,V9,V9), P_addition-{F}(V9,V9,V9), P_multiplication-{F}(V9,V2,V9), P_addition-{F}(V9,V2,V9), P_addition-{F}(V2,V9,V9), P_addition-{F}(V0,V9,V9), P_addition-{F}(V10,V9,V9), P_addition-{F}(V11,V11,V9), P_multiplication-{F}(V12,V9,V9), P_addition-{F}(V12,V9,V9), P_multiplication-{F}(V13,V9,V9), P_addition-{F}(V9,V13,V9), P_addition-{F}(V14,V9,V9), P_addition-{F}(V15,V15,V9), P_addition-{F}(V16,V9,V9), P_addition-{F}(V17,V17,V9), P_addition-{F}(V18,V9,V9), P_multiplication-{F}(V9,V18,V19), P_addition-{F}(V2,V19,V20), pppp0-{F}(V2,V21), P_multiplication-{F}(V21,V14,V21), P_star-{F}(V21,V9), P_multiplication-{F}(V21,V10,V22), P_addition-{F}(V2,V22,V23), P_multiplication-{F}(V2,V24,V23), P_multiplication-{F}(V21,V16,V25), P_addition-{F}(V2,V25,V26), P_multiplication-{F}(V2,V27,V26), P_addition-{F}(V28,V28,V28), P_addition-{F}(V9,V28,V9), P_multiplication-{F}(V28,V9,V9), P_multiplication-{F}(V29,V9,V9), P_multiplication-{F}(V29,V30,V9), P_multiplication-{F}(V29,V31,V20), P_addition-{F}(V32,V30,V9), P_addition-{F}(V31,V33,V32), P_multiplication-{F}(V34,V33,V9), P_addition-{F}(V34,V35,V29), P_multiplication-{F}(V35,V33,V9) | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #1958: mergings( V13 == V18, V14 == V16, V16 == V19, V19 == V21, V2 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V12, V24 == V27, V25 == V28, V5 == V7, V7 == V9, V9 == V18; #1941 ), references = 1, size of lhs = 15:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), P_addition-{F}(V1,V0,V2), P_multiplication-{F}(V1,V3,V2), P_multiplication-{F}(V1,V4,V2), P_multiplication-{F}(V1,V5,V2), P_multiplication-{F}(V1,V6,V2), P_multiplication-{F}(V1,V7,V2), pppp0-{F}(V1,V8), P_multiplication-{F}(V8,V1,V8), P_multiplication-{F}(V8,V0,V9), P_addition-{F}(V1,V9,V10), P_multiplication-{F}(V1,V11,V10), P_multiplication-{F}(V1,V12,V10) | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #1981: mergings( V1 == V20, V16 == V18, V18 == V21, V21 == V23, V23 == V26, V26 == V28, V0 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V15, V4 == V8, V8 == V10, V10 == V12, V12 == V20; #1961 ), references = 1, size of lhs = 11:
% 230.24/230.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), P_addition-{F}(V1,V0,V2), P_multiplication-{F}(V1,V3,V2), P_multiplication-{F}(V1,V4,V2), P_multiplication-{F}(V1,V5,V2), P_multiplication-{F}(V1,V6,V2), P_multiplication-{F}(V1,V7,V2), P_multiplication-{F}(V1,V8,V2), P_multiplication-{F}(V1,V9,V2) | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #1997: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12; #1985 ), references = 1, size of lhs = 1:
% 230.24/230.48 P_zero-{F}(V0) | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 #1999: exists( #20, #1985 ), references = 1, size of lhs = 0:
% 230.24/230.48 FALSE | FALSE
% 230.24/230.48 (used 0 times, uses = {})
% 230.24/230.48
% 230.24/230.48 number of learnt formulas = 77
% 230.24/230.48
% 230.24/230.48
% 230.24/230.48 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 230.24/230.48
% 230.24/230.48 randbase = 1
%------------------------------------------------------------------------------