TSTP Solution File: KLE038+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE038+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n027.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 06:06:59 EDT 2022
% Result : Theorem 226.61s 226.78s
% Output : Refutation 226.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KLE038+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n027.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 16:57:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 226.61/226.78 GeoParameters:
% 226.61/226.78
% 226.61/226.78 tptp_input = 1
% 226.61/226.78 tptp_output = 0
% 226.61/226.78 nonempty = 1
% 226.61/226.78 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 226.61/226.78 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 226.61/226.78
% 226.61/226.78
% 226.61/226.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 226.61/226.78 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 226.61/226.78
% 226.61/226.78 RuleSystem INPUT:
% 226.61/226.78
% 226.61/226.78 Initial Rules:
% 226.61/226.78 #0: input, references = 4, size of lhs = 3:
% 226.61/226.78 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #1: input, references = 8, size of lhs = 5:
% 226.61/226.78 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
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #2: input, references = 4, size of lhs = 3:
% 226.61/226.78 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #3: input, references = 4, size of lhs = 3:
% 226.61/226.78 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #4: input, references = 7, size of lhs = 6:
% 226.61/226.78 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
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #5: input, references = 5, size of lhs = 4:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #6: input, references = 5, size of lhs = 4:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #7: input, references = 11, size of lhs = 8:
% 226.61/226.78 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
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #8: input, references = 9, size of lhs = 8:
% 226.61/226.78 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
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #9: input, references = 4, size of lhs = 4:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #10: input, references = 4, size of lhs = 4:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #11: input, references = 14, size of lhs = 5:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #12: input, references = 4, size of lhs = 3:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #13: input, references = 11, size of lhs = 5:
% 226.61/226.78 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)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #14: input, references = 5, size of lhs = 5:
% 226.61/226.78 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)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #15: input, references = 7, size of lhs = 7:
% 226.61/226.78 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)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #16: input, references = 4, size of lhs = 7:
% 226.61/226.78 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)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #17: input, references = 4, size of lhs = 2:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp0-{T}(V2)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #18: input, references = 4, size of lhs = 3:
% 226.61/226.78 pppp0-{F}(V0), P_star-{F}(V0,V1), leq-{F}(V0,V1) | FALSE
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #19: input, references = 16, size of lhs = 2:
% 226.61/226.78 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #20: input, references = 4, size of lhs = 0:
% 226.61/226.78 FALSE | EXISTS V0: P_zero-{T}(V0)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #21: input, references = 29, size of lhs = 2:
% 226.61/226.78 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #22: input, references = 4, size of lhs = 0:
% 226.61/226.78 FALSE | EXISTS V0: P_one-{T}(V0)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #23: input, references = 6, size of lhs = 1:
% 226.61/226.78 #-{F} V0 | EXISTS V1: P_star-{T}(V0,V1)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 number of initial rules = 24
% 226.61/226.78
% 226.61/226.78 Simplifiers:
% 226.61/226.78 #24: unsound, references = 3, size of lhs = 3:
% 226.61/226.78 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #25: unsound, references = 3, size of lhs = 3:
% 226.61/226.78 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #26: unsound, references = 3, size of lhs = 3:
% 226.61/226.78 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #27: unsound, references = 3, size of lhs = 3:
% 226.61/226.78 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #28: unsound, references = 3, size of lhs = 3:
% 226.61/226.78 P_star-{F}(V0,V1), P_star-{F}(V0,V3), V1 == V3 | FALSE
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #29: unsound, references = 3, size of lhs = 3:
% 226.61/226.78 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 number of simplifiers = 6
% 226.61/226.78
% 226.61/226.78 Learnt:
% 226.61/226.78 #31: exists( #19, #3 ), references = 5, size of lhs = 2:
% 226.61/226.78 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #34: exists( #21, #5 ), references = 9, size of lhs = 3:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #35: exists( #21, #6 ), references = 6, size of lhs = 3:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #38: exists( #21, #9 ), references = 2, size of lhs = 3:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #39: exists( #21, #10 ), references = 2, size of lhs = 3:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #41: exists( #19, #2 ), references = 2, size of lhs = 2:
% 226.61/226.78 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #45: exists( #19, #0 ), references = 44, size of lhs = 1:
% 226.61/226.78 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #50: exists( #19, #11 ), references = 6, size of lhs = 3:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V2,V3) | P_addition-{T}(V2,V3,V3)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #96: mergings( V2 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V3 == V0, V0 == V6, V6 == V8, V8 == V10, V10 == V12; #85 ), references = 1, size of lhs = 5:
% 226.61/226.78 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)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #123: exists( #19, #7 ), references = 35, size of lhs = 6:
% 226.61/226.78 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)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #124: exists( #19, #8 ), references = 12, size of lhs = 6:
% 226.61/226.78 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)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #127: exists( #21, #4 ), references = 15, size of lhs = 4:
% 226.61/226.78 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)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #131: exists( #19, #1 ), references = 35, size of lhs = 3:
% 226.61/226.78 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V0,V4), P_addition-{F}(V4,V1,V5) | P_addition-{T}(V3,V2,V5)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #148: exists( #21, #7 ), references = 4, size of lhs = 6:
% 226.61/226.78 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)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #151: exists( #21, #4 ), references = 14, size of lhs = 4:
% 226.61/226.78 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)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #164: mergings( V3 == V4, V0 == V5; #160 ), references = 2, size of lhs = 7:
% 226.61/226.78 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
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #169: mergings( V3 == V5, V4 == V6; #166 ), references = 2, size of lhs = 5:
% 226.61/226.78 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)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #185: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #176 ), references = 1, size of lhs = 5:
% 226.61/226.78 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)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #200: mergings( V2 == V0, V0 == V5, V5 == V7, V7 == V9, V3 == V4, V4 == V6, V6 == V8, V8 == V10; #191 ), references = 1, size of lhs = 6:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V1,V1), P_multiplication-{F}(V0,V2,V3), P_addition-{F}(V3,V1,V4), leq-{F}(V4,V2) | P_star-{T}(V0,V2)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #204: exists( #21, #164 ), references = 2, size of lhs = 6:
% 226.61/226.78 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
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #215: mergings( V3 == V4, V0 == V5; #212 ), references = 1, size of lhs = 5:
% 226.61/226.78 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)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #219: exists( #19, #204 ), references = 1, size of lhs = 4:
% 226.61/226.78 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)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #241: mergings( V3 == V5, V4 == V6; #238 ), references = 1, size of lhs = 7:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V2), P_addition-{F}(V2,V4,V5), P_multiplication-{F}(V6,V5,V7), P_multiplication-{F}(V6,V4,V8), P_multiplication-{F}(V6,V3,V8) | P_multiplication-{T}(V6,V2,V7)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #263: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #258 ), references = 1, size of lhs = 6:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V2), P_multiplication-{F}(V3,V2,V2), P_addition-{F}(V4,V3,V4), P_star-{F}(V4,V2) | P_multiplication-{T}(V4,V2,V2)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #277: exists( #21, #8 ), references = 1, size of lhs = 6:
% 226.61/226.78 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)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #284: mergings( V3 == V5, V4 == V6; #281 ), references = 1, size of lhs = 7:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3), P_multiplication-{F}(V2,V4,V5), P_multiplication-{F}(V6,V4,V5), P_addition-{F}(V6,V3,V7), P_multiplication-{F}(V7,V4,V8) | P_multiplication-{T}(V3,V4,V8)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #308: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #301 ), references = 9, size of lhs = 12:
% 226.61/226.78 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,V7), P_multiplication-{F}(V4,V10,V11), P_addition-{F}(V12,V11,V11), P_star-{F}(V13,V12), P_multiplication-{F}(V13,V12,V9) | P_multiplication-{T}(V4,V7,V12)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #403: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #390 ), references = 1, size of lhs = 18:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V3), P_multiplication-{F}(V1,V4,V3), P_star-{F}(V5,V6), P_multiplication-{F}(V5,V6,V7), P_addition-{F}(V8,V6,V6), P_addition-{F}(V2,V9,V7), P_multiplication-{F}(V1,V10,V9), P_addition-{F}(V11,V8,V12), P_addition-{F}(V13,V11,V4), P_addition-{F}(V14,V15,V14), P_multiplication-{F}(V14,V16,V6), P_multiplication-{F}(V14,V17,V10), P_multiplication-{F}(V14,V18,V13), P_addition-{F}(V18,V17,V19), P_addition-{F}(V16,V19,V19), P_multiplication-{F}(V15,V19,V12) | P_multiplication-{T}(V14,V19,V6)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #414: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #391 ), references = 1, size of lhs = 19:
% 226.61/226.78 P_one-{F}(V0), P_zero-{F}(V1), P_multiplication-{F}(V0,V2,V2), P_addition-{F}(V2,V3,V2), P_addition-{F}(V0,V4,V5), P_multiplication-{F}(V0,V6,V5), P_star-{F}(V7,V8), P_multiplication-{F}(V7,V8,V9), P_addition-{F}(V10,V8,V8), P_multiplication-{F}(V2,V11,V8), P_addition-{F}(V4,V12,V9), P_multiplication-{F}(V0,V13,V12), P_multiplication-{F}(V2,V14,V13), P_addition-{F}(V11,V15,V15), P_addition-{F}(V16,V14,V15), P_multiplication-{F}(V2,V16,V17), P_addition-{F}(V17,V18,V6), P_addition-{F}(V18,V10,V19), P_multiplication-{F}(V3,V15,V19) | P_multiplication-{T}(V2,V15,V8)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #426: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15; #392 ), references = 1, size of lhs = 20:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V3), P_multiplication-{F}(V1,V4,V3), P_star-{F}(V5,V6), P_multiplication-{F}(V5,V6,V7), P_addition-{F}(V8,V6,V6), P_multiplication-{F}(V1,V8,V9), P_addition-{F}(V9,V6,V10), P_addition-{F}(V2,V11,V7), P_multiplication-{F}(V1,V12,V11), P_addition-{F}(V13,V14,V13), P_multiplication-{F}(V13,V15,V6), P_multiplication-{F}(V13,V16,V12), P_addition-{F}(V15,V17,V17), P_multiplication-{F}(V14,V17,V18), P_addition-{F}(V19,V8,V18), P_addition-{F}(V20,V16,V17), P_multiplication-{F}(V13,V20,V21), P_addition-{F}(V21,V19,V4) | P_multiplication-{T}(V13,V17,V10)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #463: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #456 ), references = 4, size of lhs = 12:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V3), P_star-{F}(V4,V5), P_multiplication-{F}(V5,V4,V6), P_addition-{F}(V2,V7,V6), P_addition-{F}(V5,V8,V8), P_addition-{F}(V9,V10,V10), P_multiplication-{F}(V11,V10,V3), P_multiplication-{F}(V12,V10,V7), P_addition-{F}(V12,V11,V13), P_multiplication-{F}(V13,V9,V8) | P_multiplication-{T}(V13,V10,V5)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #545: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #534 ), references = 1, size of lhs = 16:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), P_addition-{F}(V1,V2,V3), P_multiplication-{F}(V4,V1,V3), P_multiplication-{F}(V5,V1,V6), P_addition-{F}(V2,V6,V7), P_addition-{F}(V5,V8,V9), P_addition-{F}(V8,V10,V4), 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}(V11,V15,V16), P_star-{F}(V17,V16), P_multiplication-{F}(V16,V17,V7) | P_multiplication-{T}(V11,V14,V16)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #553: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10; #535 ), references = 1, size of lhs = 17:
% 226.61/226.78 P_one-{F}(V0), P_zero-{F}(V1), P_multiplication-{F}(V0,V0,V2), P_addition-{F}(V0,V2,V2), P_addition-{F}(V0,V3,V4), P_multiplication-{F}(V5,V2,V4), P_star-{F}(V6,V7), P_multiplication-{F}(V7,V6,V8), P_addition-{F}(V3,V9,V8), P_multiplication-{F}(V10,V2,V9), P_multiplication-{F}(V11,V12,V7), P_addition-{F}(V12,V13,V13), P_addition-{F}(V10,V14,V15), P_multiplication-{F}(V11,V16,V15), P_addition-{F}(V16,V17,V13), P_multiplication-{F}(V11,V17,V18), P_addition-{F}(V14,V18,V5) | P_multiplication-{T}(V11,V13,V7)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #564: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #536 ), references = 1, size of lhs = 18:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V2), P_addition-{F}(V2,V0,V1), P_addition-{F}(V1,V3,V4), P_multiplication-{F}(V5,V2,V4), P_star-{F}(V6,V7), P_multiplication-{F}(V7,V6,V8), P_addition-{F}(V7,V0,V9), P_addition-{F}(V3,V10,V8), P_multiplication-{F}(V11,V2,V10), P_multiplication-{F}(V12,V13,V7), P_addition-{F}(V13,V14,V14), P_addition-{F}(V11,V15,V16), P_multiplication-{F}(V12,V17,V16), P_addition-{F}(V17,V18,V14), P_multiplication-{F}(V12,V18,V19), P_addition-{F}(V15,V19,V5) | P_multiplication-{T}(V12,V14,V9)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #583: 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; #569 ), references = 2, size of lhs = 17:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), P_star-{F}(V2,V3), P_addition-{F}(V3,V4,V3), P_multiplication-{F}(V3,V5,V3), P_addition-{F}(V6,V3,V3), P_multiplication-{F}(V6,V2,V7), P_addition-{F}(V1,V7,V8), P_addition-{F}(V5,V9,V9), P_addition-{F}(V2,V10,V9), P_multiplication-{F}(V3,V10,V11), P_multiplication-{F}(V4,V9,V12), P_addition-{F}(V3,V12,V13), V3 == V13, P_addition-{F}(V7,V11,V14), P_multiplication-{F}(V14,V1,V8) | FALSE
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #598: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #593 ), references = 3, size of lhs = 8:
% 226.61/226.78 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)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #665: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #658 ), references = 1, size of lhs = 13:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V3), P_addition-{F}(V4,V5,V5), P_multiplication-{F}(V5,V6,V3), P_addition-{F}(V7,V6,V8), P_multiplication-{F}(V5,V7,V9), P_addition-{F}(V2,V9,V10), P_multiplication-{F}(V4,V8,V11), P_star-{F}(V12,V13), P_multiplication-{F}(V12,V13,V10), P_addition-{F}(V11,V13,V14), V14 == V13 | FALSE
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #731: mergings( V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V12, V5 == V10, V10 == V13; #720 ), references = 1, size of lhs = 23:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V3), P_addition-{F}(V2,V4,V4), P_addition-{F}(V5,V6,V6), P_multiplication-{F}(V7,V5,V4), P_multiplication-{F}(V8,V6,V9), P_multiplication-{F}(V10,V8,V7), P_multiplication-{F}(V10,V11,V12), P_star-{F}(V12,V13), P_multiplication-{F}(V11,V13,V9), P_multiplication-{F}(V13,V14,V4), P_addition-{F}(V13,V15,V15), P_multiplication-{F}(V16,V6,V17), P_multiplication-{F}(V18,V16,V7), P_multiplication-{F}(V19,V20,V17), P_multiplication-{F}(V18,V19,V21), P_multiplication-{F}(V21,V22,V3), P_addition-{F}(V22,V20,V23), P_addition-{F}(V23,V24,V23), P_multiplication-{F}(V21,V24,V15), P_multiplication-{F}(V23,V14,V25), P_addition-{F}(V25,V20,V25) | P_multiplication-{T}(V7,V6,V4)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #741: mergings( V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V12, V5 == V10, V10 == V13; #721 ), references = 1, size of lhs = 23:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V3), P_addition-{F}(V2,V4,V4), P_addition-{F}(V5,V6,V6), P_multiplication-{F}(V7,V5,V4), P_multiplication-{F}(V8,V6,V9), P_multiplication-{F}(V10,V8,V7), P_addition-{F}(V11,V10,V11), P_multiplication-{F}(V11,V12,V3), P_multiplication-{F}(V10,V13,V14), P_star-{F}(V14,V15), P_multiplication-{F}(V13,V15,V9), P_multiplication-{F}(V15,V16,V4), P_addition-{F}(V15,V17,V17), P_multiplication-{F}(V11,V18,V17), P_addition-{F}(V19,V18,V19), P_multiplication-{F}(V19,V16,V9), P_addition-{F}(V12,V20,V19), P_multiplication-{F}(V21,V20,V22), P_multiplication-{F}(V23,V21,V11), P_multiplication-{F}(V24,V6,V22), P_multiplication-{F}(V23,V24,V7) | P_multiplication-{T}(V7,V6,V4)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #820: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V18, V18 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V7 == V12, V12 == V17, V17 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30; #791 ), references = 1, size of lhs = 43:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V3), P_addition-{F}(V2,V4,V4), P_addition-{F}(V1,V4,V5), P_addition-{F}(V6,V4,V6), P_addition-{F}(V7,V4,V6), P_multiplication-{F}(V8,V7,V3), P_addition-{F}(V6,V9,V6), P_multiplication-{F}(V8,V9,V10), P_addition-{F}(V11,V10,V10), leq-{F}(V11,V12), P_addition-{F}(V12,V13,V12), P_addition-{F}(V14,V4,V12), P_addition-{F}(V15,V4,V11), P_multiplication-{F}(V8,V16,V12), P_multiplication-{F}(V16,V17,V4), P_multiplication-{F}(V18,V14,V5), P_multiplication-{F}(V19,V8,V18), P_multiplication-{F}(V18,V13,V20), P_addition-{F}(V12,V20,V20), P_star-{F}(V21,V12), P_star-{F}(V22,V11), P_multiplication-{F}(V22,V23,V4), P_multiplication-{F}(V19,V24,V22), P_multiplication-{F}(V24,V25,V22), P_multiplication-{F}(V26,V24,V22), P_multiplication-{F}(V8,V27,V22), P_multiplication-{F}(V27,V28,V4), P_multiplication-{F}(V25,V28,V29), P_addition-{F}(V28,V29,V29), P_addition-{F}(V23,V29,V11), P_multiplication-{F}(V26,V30,V21), P_star-{F}(V30,V31), P_multiplication-{F}(V31,V15,V32), P_addition-{F}(V32,V12,V33), V33 == V12, P_multiplication-{F}(V24,V34,V4), P_addition-{F}(V34,V29,V29), P_multiplication-{F}(V35,V36,V12), P_multiplication-{F}(V30,V35,V37), P_multiplication-{F}(V38,V36,V29), P_multiplication-{F}(V24,V38,V37) | FALSE
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #847: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V18, V18 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V7 == V12, V12 == V17, V17 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30; #792 ), references = 1, size of lhs = 45:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V3), P_addition-{F}(V2,V4,V4), P_addition-{F}(V1,V4,V5), P_addition-{F}(V6,V4,V6), P_addition-{F}(V7,V4,V6), P_multiplication-{F}(V8,V7,V3), P_addition-{F}(V6,V9,V6), P_multiplication-{F}(V8,V9,V10), P_addition-{F}(V11,V10,V10), P_addition-{F}(V11,V12,V11), leq-{F}(V11,V13), P_multiplication-{F}(V11,V14,V13), P_addition-{F}(V13,V15,V13), P_addition-{F}(V16,V4,V13), P_multiplication-{F}(V8,V17,V13), P_multiplication-{F}(V17,V18,V4), P_star-{F}(V18,V19), P_addition-{F}(V14,V19,V19), P_multiplication-{F}(V12,V19,V20), P_addition-{F}(V13,V20,V21), V13 == V21, P_multiplication-{F}(V22,V16,V5), P_multiplication-{F}(V23,V8,V22), P_multiplication-{F}(V22,V15,V24), P_addition-{F}(V13,V24,V24), P_star-{F}(V25,V13), P_star-{F}(V26,V11), P_multiplication-{F}(V26,V27,V4), P_multiplication-{F}(V23,V28,V26), P_multiplication-{F}(V28,V29,V26), P_multiplication-{F}(V8,V30,V26), P_multiplication-{F}(V30,V31,V4), P_multiplication-{F}(V29,V31,V32), P_addition-{F}(V31,V32,V32), P_addition-{F}(V27,V32,V11), P_multiplication-{F}(V28,V33,V4), P_addition-{F}(V33,V32,V32), P_multiplication-{F}(V34,V28,V26), P_multiplication-{F}(V34,V35,V25), P_multiplication-{F}(V36,V37,V13), P_multiplication-{F}(V35,V36,V38), P_multiplication-{F}(V39,V37,V32), P_multiplication-{F}(V28,V39,V38) | FALSE
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #878: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V20, V20 == V21, V21 == V23, V23 == V24, V24 == V26, V26 == V27, V27 == V29, V29 == V31, V31 == V33, V7 == V9, V9 == V14, V14 == V19, V19 == V22, V22 == V25, V25 == V28, V28 == V30, V30 == V32, V32 == V34; #793 ), references = 1, size of lhs = 49:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V2,V2), P_multiplication-{F}(V2,V3,V2), P_multiplication-{F}(V4,V4,V2), P_addition-{F}(V2,V5,V2), P_addition-{F}(V2,V6,V6), P_addition-{F}(V3,V7,V7), P_star-{F}(V8,V7), P_star-{F}(V9,V2), P_addition-{F}(V2,V10,V10), P_multiplication-{F}(V11,V5,V10), P_star-{F}(V12,V2), P_multiplication-{F}(V4,V13,V12), P_multiplication-{F}(V13,V14,V12), P_multiplication-{F}(V15,V13,V12), P_multiplication-{F}(V15,V16,V11), P_multiplication-{F}(V16,V17,V2), P_multiplication-{F}(V17,V8,V18), P_multiplication-{F}(V12,V19,V18), P_addition-{F}(V7,V18,V20), P_addition-{F}(V1,V18,V21), P_multiplication-{F}(V11,V22,V21), P_addition-{F}(V22,V18,V2), P_addition-{F}(V23,V18,V18), P_addition-{F}(V1,V23,V24), P_multiplication-{F}(V16,V25,V20), P_addition-{F}(V18,V25,V26), P_multiplication-{F}(V16,V26,V27), P_multiplication-{F}(V2,V27,V28), V28 == V2, P_multiplication-{F}(V16,V29,V24), P_addition-{F}(V29,V18,V30), P_addition-{F}(V30,V18,V30), P_addition-{F}(V30,V31,V30), P_multiplication-{F}(V16,V31,V6), P_multiplication-{F}(V16,V32,V12), P_multiplication-{F}(V32,V33,V18), P_multiplication-{F}(V14,V33,V34), P_addition-{F}(V33,V34,V34), P_addition-{F}(V19,V34,V2), P_multiplication-{F}(V13,V35,V18), P_addition-{F}(V35,V34,V34), P_multiplication-{F}(V36,V13,V12), P_multiplication-{F}(V36,V37,V9), P_multiplication-{F}(V38,V39,V2), P_multiplication-{F}(V37,V38,V40), P_multiplication-{F}(V41,V39,V34), P_multiplication-{F}(V13,V41,V40) | FALSE
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #904: mergings( V3 == V4, V0 == V5; #901 ), references = 2, size of lhs = 7:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), P_addition-{F}(V1,V3,V5), P_addition-{F}(V4,V5,V6), V6 == V3 | FALSE
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #911: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #906 ), references = 1, size of lhs = 8:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), P_addition-{F}(V1,V3,V5), P_multiplication-{F}(V6,V7,V4), P_multiplication-{F}(V6,V8,V5), P_addition-{F}(V7,V8,V9) | P_multiplication-{T}(V6,V9,V3)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #953: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #946 ), references = 2, size of lhs = 13:
% 226.61/226.78 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,V7,V7), P_multiplication-{F}(V4,V10,V11), P_star-{F}(V12,V13), P_multiplication-{F}(V13,V12,V9), P_addition-{F}(V11,V13,V14), V14 == V13 | FALSE
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #996: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V6 == V8, V8 == V10, V10 == V12; #987 ), references = 1, size of lhs = 19:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), P_addition-{F}(V1,V2,V2), P_addition-{F}(V3,V4,V3), P_multiplication-{F}(V3,V5,V2), P_addition-{F}(V5,V6,V6), P_multiplication-{F}(V4,V6,V7), P_addition-{F}(V8,V1,V7), P_star-{F}(V6,V9), P_addition-{F}(V9,V3,V9), P_addition-{F}(V3,V9,V9), P_multiplication-{F}(V9,V10,V9), P_addition-{F}(V10,V6,V6), P_multiplication-{F}(V9,V11,V0), P_addition-{F}(V6,V11,V6), P_addition-{F}(V6,V12,V6), P_multiplication-{F}(V3,V12,V13), P_addition-{F}(V8,V13,V9) | P_multiplication-{T}(V3,V6,V9)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #1021: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #1014 ), references = 1, size of lhs = 13:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_multiplication-{F}(V3,V4,V5), P_multiplication-{F}(V2,V6,V7), P_addition-{F}(V4,V7,V8), P_addition-{F}(V9,V6,V9), P_addition-{F}(V5,V9,V10), V10 == V9, P_multiplication-{F}(V11,V9,V8), P_addition-{F}(V11,V2,V12), P_multiplication-{F}(V12,V9,V13), leq-{F}(V13,V9) | FALSE
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #1029: mergings( V3 == V5, V4 == V6; #1026 ), references = 1, size of lhs = 8:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), P_addition-{F}(V1,V3,V5), P_multiplication-{F}(V6,V7,V4), P_multiplication-{F}(V8,V7,V5), P_addition-{F}(V6,V8,V9) | P_multiplication-{T}(V9,V7,V3)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #1038: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #1032 ), references = 1, size of lhs = 10:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_addition-{F}(V1,V3,V4), P_addition-{F}(V5,V3,V3), P_multiplication-{F}(V6,V3,V4), P_addition-{F}(V2,V6,V7), P_multiplication-{F}(V7,V5,V8), P_addition-{F}(V8,V3,V9), V3 == V9 | FALSE
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #1043: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #1033 ), references = 1, size of lhs = 15:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_addition-{F}(V1,V3,V4), P_addition-{F}(V1,V5,V3), P_addition-{F}(V5,V3,V6), P_multiplication-{F}(V7,V3,V4), P_addition-{F}(V2,V7,V8), P_addition-{F}(V3,V3,V9), P_addition-{F}(V10,V9,V9), P_multiplication-{F}(V8,V10,V11), P_star-{F}(V12,V13), P_multiplication-{F}(V13,V12,V6), P_addition-{F}(V11,V13,V14), V14 == V13 | FALSE
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #1057: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #1051 ), references = 1, size of lhs = 10:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_addition-{F}(V1,V3,V4), P_addition-{F}(V5,V3,V3), P_multiplication-{F}(V6,V3,V4), P_addition-{F}(V2,V6,V7), P_multiplication-{F}(V7,V5,V8), P_addition-{F}(V9,V10,V8), P_addition-{F}(V3,V9,V11) | P_addition-{T}(V10,V11,V3)
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #1072: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V13 == V14, V8 == V10, V10 == V12; #1062 ), references = 1, size of lhs = 7:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2), P_star-{F}(V2,V3), P_addition-{F}(V1,V3,V3), P_multiplication-{F}(V4,V3,V3), P_addition-{F}(V3,V4,V3) | FALSE
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #1087: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V4 == V7, V7 == V9, V9 == V11, V11 == V13; #1076 ), references = 1, size of lhs = 4:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), pppp0-{F}(V2) | FALSE
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #1101: mergings( V0 == V3, V3 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V1 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14; #1088 ), references = 1, size of lhs = 3:
% 226.61/226.78 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1) | FALSE
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #1112: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #1103 ), references = 1, size of lhs = 1:
% 226.61/226.78 P_zero-{F}(V0) | FALSE
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 #1114: exists( #20, #1103 ), references = 1, size of lhs = 0:
% 226.61/226.78 FALSE | FALSE
% 226.61/226.78 (used 0 times, uses = {})
% 226.61/226.78
% 226.61/226.78 number of learnt formulas = 56
% 226.61/226.78
% 226.61/226.78
% 226.61/226.78 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 226.61/226.78
% 226.61/226.78 randbase = 1
%------------------------------------------------------------------------------