%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE170+1.004 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 06:07:13 EDT 2022
% Result : Theorem 64.13s 64.39s
% Output : Refutation 64.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : KLE170+1.004 : TPTP v8.1.0. Released v5.2.0.
% 0.09/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n028.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 16:59:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 64.13/64.39 GeoParameters:
% 64.13/64.39
% 64.13/64.39 tptp_input = 1
% 64.13/64.39 tptp_output = 0
% 64.13/64.39 nonempty = 1
% 64.13/64.39 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 64.13/64.39 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 64.13/64.39
% 64.13/64.39
% 64.13/64.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 64.13/64.39 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 64.13/64.39
% 64.13/64.39 RuleSystem INPUT:
% 64.13/64.39
% 64.13/64.39 Initial Rules:
% 64.13/64.39 #0: input, references = 5, size of lhs = 3:
% 64.13/64.39 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #1: input, references = 9, size of lhs = 5:
% 64.13/64.39 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
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #2: input, references = 4, size of lhs = 3:
% 64.13/64.39 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #3: input, references = 4, size of lhs = 3:
% 64.13/64.39 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #4: input, references = 8, size of lhs = 6:
% 64.13/64.39 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
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #5: input, references = 6, size of lhs = 4:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #6: input, references = 4, size of lhs = 4:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #7: input, references = 10, size of lhs = 8:
% 64.13/64.39 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
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #8: input, references = 9, size of lhs = 8:
% 64.13/64.39 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
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #9: input, references = 4, size of lhs = 4:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #10: input, references = 4, size of lhs = 4:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #11: input, references = 12, size of lhs = 5:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #12: input, references = 7, size of lhs = 3:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #13: input, references = 12, size of lhs = 5:
% 64.13/64.39 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)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #14: input, references = 7, size of lhs = 5:
% 64.13/64.39 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)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #15: input, references = 8, size of lhs = 7:
% 64.13/64.39 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)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #16: input, references = 5, size of lhs = 7:
% 64.13/64.39 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)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #17: input, references = 5, size of lhs = 8:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_a-{F}(V2), P_multiplication-{F}(V2,V2,V3), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V2,V4,V5), P_star-{F}(V2,V6), leq-{F}(V5,V6) | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #18: input, references = 14, size of lhs = 2:
% 64.13/64.39 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #19: input, references = 4, size of lhs = 0:
% 64.13/64.39 FALSE | EXISTS V0: P_zero-{T}(V0)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #20: input, references = 36, size of lhs = 2:
% 64.13/64.39 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #21: input, references = 4, size of lhs = 0:
% 64.13/64.39 FALSE | EXISTS V0: P_one-{T}(V0)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #22: input, references = 7, size of lhs = 1:
% 64.13/64.39 #-{F} V0 | EXISTS V1: P_star-{T}(V0,V1)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #23: input, references = 4, size of lhs = 0:
% 64.13/64.39 FALSE | EXISTS V0: P_a-{T}(V0)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 number of initial rules = 24
% 64.13/64.39
% 64.13/64.39 Simplifiers:
% 64.13/64.39 #24: unsound, references = 3, size of lhs = 3:
% 64.13/64.39 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #25: unsound, references = 3, size of lhs = 3:
% 64.13/64.39 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #26: unsound, references = 3, size of lhs = 3:
% 64.13/64.39 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #27: unsound, references = 3, size of lhs = 3:
% 64.13/64.39 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #28: unsound, references = 3, size of lhs = 3:
% 64.13/64.39 P_star-{F}(V0,V1), P_star-{F}(V0,V3), V1 == V3 | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #29: unsound, references = 3, size of lhs = 3:
% 64.13/64.39 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 number of simplifiers = 6
% 64.13/64.39
% 64.13/64.39 Learnt:
% 64.13/64.39 #31: exists( #20, #5 ), references = 21, size of lhs = 3:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #34: exists( #18, #2 ), references = 7, size of lhs = 2:
% 64.13/64.39 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #37: exists( #18, #3 ), references = 4, size of lhs = 2:
% 64.13/64.39 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #41: exists( #18, #0 ), references = 53, size of lhs = 1:
% 64.13/64.39 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #46: exists( #20, #6 ), references = 11, size of lhs = 3:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #47: exists( #20, #9 ), references = 5, size of lhs = 3:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #55: mergings( V2 == V3, V3 == V5, V4 == V6; #51 ), references = 1, size of lhs = 6:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_a-{F}(V2), P_multiplication-{F}(V2,V2,V3), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V2,V4,V0) | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #59: exists( #18, #11 ), references = 10, size of lhs = 3:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V2,V3) | P_addition-{T}(V2,V3,V3)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #92: mergings( V2 == V0, V0 == V5, V5 == V7, V7 == V9, V9 == V11, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #79 ), references = 1, size of lhs = 6:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V0,V2), P_multiplication-{F}(V0,V2,V3), P_addition-{F}(V3,V1,V4), leq-{F}(V4,V2) | P_star-{T}(V0,V2)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #112: mergings( V13 == V18, V2 == V0, V0 == V5, V5 == V7, V7 == V9, V9 == V11, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #81 ), references = 1, size of lhs = 7:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V0,V2), P_multiplication-{F}(V0,V3,V4), P_addition-{F}(V4,V1,V5), leq-{F}(V5,V3), P_addition-{F}(V3,V6,V2) | P_star-{T}(V0,V2)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #137: mergings( V2 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V3 == V0, V0 == V6, V6 == V8, V8 == V10, V10 == V12; #125 ), references = 2, size of lhs = 5:
% 64.13/64.39 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)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #149: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #142 ), references = 1, size of lhs = 9:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V2,V1), P_multiplication-{F}(V3,V1,V4), P_star-{F}(V3,V5), P_star-{F}(V5,V6), P_addition-{F}(V4,V6,V2), P_addition-{F}(V1,V6,V7), V7 == V6 | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #154: exists( #18, #7 ), references = 21, size of lhs = 6:
% 64.13/64.39 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)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #155: exists( #18, #8 ), references = 19, size of lhs = 6:
% 64.13/64.39 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)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #156: exists( #18, #1 ), references = 30, size of lhs = 3:
% 64.13/64.39 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V2,V4), P_addition-{F}(V3,V0,V5) | P_addition-{T}(V5,V1,V4)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #167: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #162 ), references = 1, size of lhs = 6:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V1,V2), P_star-{F}(V3,V2), P_multiplication-{F}(V3,V4,V2), P_addition-{F}(V4,V2,V2) | P_multiplication-{T}(V3,V2,V2)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #173: exists( #20, #10 ), references = 2, size of lhs = 3:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #178: exists( #20, #4 ), references = 5, size of lhs = 4:
% 64.13/64.39 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)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #180: exists( #20, #4 ), references = 4, size of lhs = 4:
% 64.13/64.39 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)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #196: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V10, V4 == V6, V6 == V8, V8 == V11; #188 ), references = 2, size of lhs = 16:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_a-{F}(V2), P_multiplication-{F}(V2,V2,V3), P_multiplication-{F}(V2,V3,V4), P_star-{F}(V2,V5), P_star-{F}(V6,V1), P_multiplication-{F}(V6,V5,V7), leq-{F}(V8,V5), P_multiplication-{F}(V9,V10,V4), P_multiplication-{F}(V2,V9,V11), P_addition-{F}(V10,V12,V13), P_multiplication-{F}(V11,V13,V14), P_multiplication-{F}(V11,V12,V15), P_addition-{F}(V16,V15,V7), P_addition-{F}(V16,V14,V8) | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #212: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V13, V1 == V18, V4 == V7, V7 == V9, V9 == V11, V11 == V14; #200 ), references = 1, size of lhs = 18:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_a-{F}(V2), P_star-{F}(V2,V3), P_star-{F}(V4,V1), P_multiplication-{F}(V4,V3,V5), leq-{F}(V5,V3), P_multiplication-{F}(V2,V2,V6), P_addition-{F}(V6,V7,V7), P_multiplication-{F}(V8,V7,V9), P_multiplication-{F}(V10,V8,V6), P_multiplication-{F}(V10,V9,V11), P_multiplication-{F}(V12,V13,V11), P_addition-{F}(V14,V12,V15), P_multiplication-{F}(V15,V13,V16), P_multiplication-{F}(V14,V13,V17), P_addition-{F}(V18,V16,V5), P_addition-{F}(V18,V17,V19) | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #232: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V16, V3 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V17; #217 ), references = 1, size of lhs = 14:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_a-{F}(V2), P_addition-{F}(V2,V2,V2), P_star-{F}(V2,V3), P_star-{F}(V4,V1), P_multiplication-{F}(V4,V3,V5), leq-{F}(V5,V3), P_multiplication-{F}(V2,V6,V5), P_addition-{F}(V7,V2,V6), P_multiplication-{F}(V2,V7,V8), P_multiplication-{F}(V1,V9,V1), P_addition-{F}(V10,V5,V9), P_addition-{F}(V10,V8,V9) | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #240: mergings( V3 == V4, V0 == V5; #237 ), references = 2, size of lhs = 5:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V1), P_star-{F}(V3,V2), P_multiplication-{F}(V3,V2,V4) | P_addition-{T}(V1,V4,V2)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #268: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #261 ), references = 9, size of lhs = 11:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V1,V3), P_multiplication-{F}(V4,V5,V3), P_addition-{F}(V6,V4,V7), P_multiplication-{F}(V6,V5,V8), P_addition-{F}(V8,V2,V9), P_addition-{F}(V7,V10,V7), P_multiplication-{F}(V10,V5,V11), P_star-{F}(V12,V11), P_multiplication-{F}(V12,V11,V9) | P_multiplication-{T}(V7,V5,V11)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #306: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V16 == V18, V10 == V12; #296 ), references = 1, size of lhs = 15:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_star-{F}(V3,V2), P_multiplication-{F}(V4,V3,V3), P_addition-{F}(V3,V5,V3), P_multiplication-{F}(V2,V5,V6), P_addition-{F}(V6,V1,V7), P_multiplication-{F}(V8,V3,V7), P_addition-{F}(V2,V8,V9), P_addition-{F}(V9,V4,V9), P_addition-{F}(V10,V2,V9), P_multiplication-{F}(V10,V3,V7), P_addition-{F}(V3,V2,V11), V11 == V2 | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #350: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #345 ), references = 2, size of lhs = 18:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_a-{F}(V2), P_multiplication-{F}(V2,V2,V3), P_star-{F}(V2,V4), P_star-{F}(V5,V1), P_multiplication-{F}(V5,V4,V6), P_multiplication-{F}(V2,V1,V7), leq-{F}(V8,V4), P_addition-{F}(V3,V9,V10), P_multiplication-{F}(V2,V10,V11), P_multiplication-{F}(V2,V9,V12), P_addition-{F}(V13,V11,V14), P_addition-{F}(V13,V12,V15), P_multiplication-{F}(V7,V14,V16), P_multiplication-{F}(V7,V15,V17), P_addition-{F}(V18,V17,V6), P_addition-{F}(V18,V16,V8) | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #375: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V18 == V1; #361 ), references = 1, size of lhs = 21:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_a-{F}(V2), P_multiplication-{F}(V2,V1,V2), P_multiplication-{F}(V2,V2,V3), P_star-{F}(V4,V1), P_star-{F}(V2,V5), P_multiplication-{F}(V4,V5,V5), leq-{F}(V5,V5), P_addition-{F}(V5,V6,V5), P_multiplication-{F}(V2,V6,V7), P_addition-{F}(V7,V1,V8), P_multiplication-{F}(V9,V5,V8), P_addition-{F}(V2,V9,V10), P_addition-{F}(V10,V11,V10), P_multiplication-{F}(V11,V5,V5), P_addition-{F}(V12,V2,V10), P_multiplication-{F}(V12,V5,V13), P_addition-{F}(V7,V14,V13), P_multiplication-{F}(V2,V15,V3), P_addition-{F}(V15,V5,V5) | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #390: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V16 == V18; #376 ), references = 1, size of lhs = 19:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_a-{F}(V2), P_multiplication-{F}(V2,V1,V2), P_star-{F}(V3,V1), P_star-{F}(V2,V4), P_multiplication-{F}(V3,V4,V4), leq-{F}(V4,V4), P_addition-{F}(V2,V4,V4), P_addition-{F}(V4,V5,V4), P_multiplication-{F}(V2,V5,V6), P_addition-{F}(V6,V1,V7), P_multiplication-{F}(V8,V4,V7), P_addition-{F}(V2,V8,V9), P_addition-{F}(V9,V10,V9), P_multiplication-{F}(V10,V4,V4), P_addition-{F}(V11,V2,V9), P_multiplication-{F}(V11,V4,V12), P_addition-{F}(V6,V13,V12) | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #406: exists( #20, #404 ), references = 1, size of lhs = 7:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V1,V1), P_addition-{F}(V1,V3,V1), P_star-{F}(V4,V3), P_addition-{F}(V2,V3,V5), V5 == V3 | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #426: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8; #418 ), references = 1, size of lhs = 11:
% 64.13/64.39 P_one-{F}(V0), P_zero-{F}(V1), P_multiplication-{F}(V2,V0,V2), P_multiplication-{F}(V3,V2,V2), P_addition-{F}(V4,V3,V4), P_star-{F}(V4,V2), P_addition-{F}(V4,V5,V4), P_multiplication-{F}(V5,V2,V6), P_addition-{F}(V4,V7,V4), P_multiplication-{F}(V7,V2,V8), P_addition-{F}(V8,V0,V6) | P_multiplication-{T}(V4,V2,V2)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #431: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #419 ), references = 1, size of lhs = 13:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V1,V3), P_multiplication-{F}(V4,V5,V5), P_multiplication-{F}(V6,V5,V3), P_multiplication-{F}(V7,V5,V2), P_addition-{F}(V5,V8,V5), P_addition-{F}(V9,V4,V9), P_star-{F}(V9,V5), P_addition-{F}(V9,V6,V9), P_addition-{F}(V9,V7,V9), P_multiplication-{F}(V9,V8,V10), P_addition-{F}(V5,V10,V11) | P_multiplication-{T}(V9,V5,V11)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #436: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #420 ), references = 1, size of lhs = 13:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V3), P_addition-{F}(V4,V2,V4), P_star-{F}(V5,V3), P_addition-{F}(V5,V6,V4), P_multiplication-{F}(V6,V3,V7), P_addition-{F}(V5,V8,V5), P_multiplication-{F}(V8,V3,V9), P_addition-{F}(V9,V1,V7), P_addition-{F}(V10,V4,V5), P_multiplication-{F}(V10,V3,V11), P_addition-{F}(V11,V3,V12) | P_multiplication-{T}(V5,V3,V12)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #497: exists( #20, #7 ), references = 4, size of lhs = 6:
% 64.13/64.39 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)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #551: mergings( V3 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V15, V15 == V17, V4 == V8, V8 == V10, V10 == V12, V12 == V16, V16 == V18; #536 ), references = 2, size of lhs = 18:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_multiplication-{F}(V4,V2,V5), P_multiplication-{F}(V6,V4,V3), P_addition-{F}(V1,V5,V7), P_addition-{F}(V7,V3,V8), V8 == V3, P_addition-{F}(V9,V1,V10), P_multiplication-{F}(V11,V9,V12), P_addition-{F}(V13,V11,V10), P_multiplication-{F}(V14,V11,V15), P_multiplication-{F}(V6,V14,V15), P_multiplication-{F}(V15,V12,V16), P_multiplication-{F}(V15,V13,V16), P_multiplication-{F}(V17,V15,V16), P_addition-{F}(V17,V6,V18), P_multiplication-{F}(V18,V15,V5) | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #724: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #713 ), references = 5, size of lhs = 21:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V1,V3), P_multiplication-{F}(V4,V1,V3), P_multiplication-{F}(V5,V1,V6), P_addition-{F}(V6,V2,V7), P_addition-{F}(V8,V5,V9), P_addition-{F}(V10,V8,V4), P_addition-{F}(V11,V12,V12), P_multiplication-{F}(V12,V13,V10), P_multiplication-{F}(V12,V14,V9), P_addition-{F}(V13,V14,V15), P_multiplication-{F}(V11,V15,V16), P_multiplication-{F}(V17,V1,V18), P_star-{F}(V19,V18), P_multiplication-{F}(V19,V18,V7), P_addition-{F}(V20,V17,V16), P_addition-{F}(V21,V20,V21), P_multiplication-{F}(V12,V22,V21), P_addition-{F}(V22,V23,V15), P_multiplication-{F}(V12,V23,V24) | P_multiplication-{T}(V12,V15,V18)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #734: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #714 ), references = 1, size of lhs = 22:
% 64.13/64.39 P_one-{F}(V0), P_zero-{F}(V1), P_multiplication-{F}(V0,V0,V2), P_addition-{F}(V3,V0,V4), P_multiplication-{F}(V5,V2,V4), P_star-{F}(V6,V7), P_multiplication-{F}(V6,V7,V8), P_multiplication-{F}(V9,V2,V7), P_addition-{F}(V10,V3,V8), P_multiplication-{F}(V11,V2,V10), P_addition-{F}(V12,V9,V13), P_addition-{F}(V14,V12,V14), P_addition-{F}(V15,V16,V16), P_multiplication-{F}(V16,V17,V14), P_multiplication-{F}(V15,V18,V13), P_addition-{F}(V17,V19,V18), P_multiplication-{F}(V16,V19,V20), P_addition-{F}(V21,V11,V22), P_multiplication-{F}(V16,V23,V22), P_addition-{F}(V24,V23,V18), P_multiplication-{F}(V16,V24,V25), P_addition-{F}(V25,V21,V5) | P_multiplication-{T}(V16,V18,V7)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #745: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #715 ), references = 1, size of lhs = 23:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V2,V1), P_addition-{F}(V3,V1,V4), P_multiplication-{F}(V5,V2,V4), P_multiplication-{F}(V6,V2,V7), P_addition-{F}(V7,V3,V8), P_addition-{F}(V9,V6,V10), P_addition-{F}(V11,V9,V5), P_addition-{F}(V12,V13,V13), P_multiplication-{F}(V13,V14,V11), P_multiplication-{F}(V13,V15,V10), P_addition-{F}(V14,V15,V16), P_multiplication-{F}(V12,V16,V17), P_multiplication-{F}(V18,V2,V19), P_star-{F}(V20,V19), P_multiplication-{F}(V20,V19,V8), P_addition-{F}(V19,V19,V21), P_addition-{F}(V22,V18,V17), P_addition-{F}(V23,V22,V23), P_multiplication-{F}(V13,V24,V23), P_addition-{F}(V24,V25,V16), P_multiplication-{F}(V13,V25,V26) | P_multiplication-{T}(V13,V16,V21)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #769: 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; #754 ), references = 1, size of lhs = 21:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), P_star-{F}(V4,V3), P_addition-{F}(V5,V4,V4), P_addition-{F}(V4,V6,V4), P_multiplication-{F}(V6,V3,V7), P_addition-{F}(V7,V1,V8), P_multiplication-{F}(V9,V1,V8), P_addition-{F}(V10,V7,V9), P_multiplication-{F}(V4,V11,V10), P_addition-{F}(V11,V3,V12), P_multiplication-{F}(V5,V12,V13), P_addition-{F}(V14,V12,V12), P_multiplication-{F}(V4,V14,V15), P_addition-{F}(V16,V2,V13), P_addition-{F}(V15,V3,V17), V3 == V17, P_addition-{F}(V18,V3,V12), P_multiplication-{F}(V4,V18,V19), P_addition-{F}(V19,V16,V19) | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #783: 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; #755 ), references = 2, size of lhs = 21:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), P_star-{F}(V4,V3), P_addition-{F}(V4,V5,V4), P_multiplication-{F}(V5,V3,V6), P_addition-{F}(V6,V1,V7), P_addition-{F}(V8,V4,V4), P_addition-{F}(V9,V4,V4), P_multiplication-{F}(V10,V1,V7), P_addition-{F}(V11,V6,V10), P_multiplication-{F}(V4,V12,V11), P_addition-{F}(V12,V3,V13), P_multiplication-{F}(V8,V13,V14), P_addition-{F}(V15,V2,V14), P_addition-{F}(V16,V3,V13), P_multiplication-{F}(V4,V16,V17), P_addition-{F}(V17,V15,V17), P_multiplication-{F}(V9,V13,V18), P_addition-{F}(V18,V3,V19), V3 == V19 | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #801: mergings( V3 == V4, V0 == V5; #796 ), references = 1, size of lhs = 7:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), P_addition-{F}(V5,V3,V5), P_addition-{F}(V6,V5,V4), P_addition-{F}(V1,V6,V7) | P_addition-{T}(V1,V4,V3)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #805: mergings( V9 == V11, V3 == V4, V0 == V5; #797 ), references = 1, size of lhs = 7:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), P_addition-{F}(V4,V5,V4), P_addition-{F}(V5,V6,V5), P_addition-{F}(V3,V7,V6) | P_addition-{T}(V1,V4,V6)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #812: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #798 ), references = 1, size of lhs = 15:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), P_addition-{F}(V1,V0,V1), P_addition-{F}(V2,V1,V3), P_multiplication-{F}(V4,V1,V3), P_addition-{F}(V0,V5,V4), P_addition-{F}(V6,V7,V6), P_multiplication-{F}(V6,V1,V8), P_addition-{F}(V8,V2,V9), P_multiplication-{F}(V7,V1,V10), P_addition-{F}(V7,V11,V10), P_multiplication-{F}(V11,V1,V12), P_star-{F}(V13,V12), P_multiplication-{F}(V13,V12,V9) | P_addition-{T}(V5,V6,V12)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #833: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V9, V6 == V8, V8 == V10; #825 ), references = 1, size of lhs = 6:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V0,V2), P_addition-{F}(V3,V4,V3), P_star-{F}(V3,V5), P_multiplication-{F}(V4,V5,V5) | P_multiplication-{T}(V3,V5,V5)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #840: exists( #20, #8 ), references = 1, size of lhs = 6:
% 64.13/64.39 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)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #875: mergings( V3 == V4, V4 == V6, V6 == V8, V16 == V17, V0 == V5, V5 == V7, V7 == V9; #865 ), references = 1, size of lhs = 10:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V5,V4,V6), P_multiplication-{F}(V5,V1,V7), P_addition-{F}(V6,V7,V8), P_multiplication-{F}(V5,V3,V9), P_addition-{F}(V8,V9,V10), V9 == V10 | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #876: exists( #18, #863 ), references = 3, size of lhs = 18:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_addition-{F}(V1,V3,V4), P_multiplication-{F}(V5,V2,V6), P_addition-{F}(V6,V4,V7), V7 == V3, P_multiplication-{F}(V8,V5,V3), P_addition-{F}(V9,V1,V10), P_multiplication-{F}(V11,V9,V12), P_addition-{F}(V13,V11,V10), P_multiplication-{F}(V14,V11,V15), P_multiplication-{F}(V8,V14,V15), P_multiplication-{F}(V15,V12,V16), P_multiplication-{F}(V15,V13,V16), P_multiplication-{F}(V17,V15,V16), P_addition-{F}(V17,V8,V18), P_multiplication-{F}(V18,V15,V6) | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #879: mergings( V3 == V4, V0 == V5; #867 ), references = 2, size of lhs = 7:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V1), P_star-{F}(V3,V4), P_multiplication-{F}(V3,V4,V5), P_addition-{F}(V2,V4,V6), V6 == V4 | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #906: 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; #890 ), references = 1, size of lhs = 12:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V2,V2), P_star-{F}(V2,V3), P_star-{F}(V4,V3), P_multiplication-{F}(V2,V1,V5), P_multiplication-{F}(V5,V4,V6), P_addition-{F}(V6,V2,V7), leq-{F}(V7,V5), P_multiplication-{F}(V2,V8,V5), P_addition-{F}(V8,V3,V9), P_multiplication-{F}(V2,V9,V10) | P_multiplication-{T}(V2,V3,V10)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #913: exists( #20, #879 ), references = 1, size of lhs = 6:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V1), P_star-{F}(V3,V4), P_addition-{F}(V2,V4,V5), V5 == V4 | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #915: exists( #18, #912 ), references = 1, size of lhs = 4:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V1), P_star-{F}(V3,V4) | P_addition-{T}(V2,V4,V4)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #954: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V9, V6 == V8; #946 ), references = 1, size of lhs = 20:
% 64.13/64.39 P_one-{F}(V0), P_zero-{F}(V1), P_addition-{F}(V2,V3,V3), P_star-{F}(V3,V4), P_addition-{F}(V5,V4,V4), P_multiplication-{F}(V3,V5,V6), P_addition-{F}(V6,V0,V7), P_multiplication-{F}(V8,V0,V4), P_addition-{F}(V6,V8,V9), P_multiplication-{F}(V10,V0,V7), P_addition-{F}(V11,V1,V10), P_multiplication-{F}(V3,V12,V11), P_addition-{F}(V12,V4,V13), P_multiplication-{F}(V2,V13,V9), P_addition-{F}(V4,V14,V13), P_multiplication-{F}(V3,V14,V15), P_multiplication-{F}(V16,V17,V13), P_multiplication-{F}(V3,V16,V18), P_multiplication-{F}(V18,V17,V19), V4 == V19 | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #961: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V9, V6 == V8, V8 == V10; #947 ), references = 1, size of lhs = 21:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3), P_star-{F}(V3,V4), P_addition-{F}(V5,V4,V4), P_multiplication-{F}(V3,V5,V6), P_addition-{F}(V6,V1,V7), P_multiplication-{F}(V8,V1,V4), P_addition-{F}(V6,V8,V9), P_multiplication-{F}(V10,V1,V7), P_addition-{F}(V11,V0,V10), P_multiplication-{F}(V3,V12,V11), P_addition-{F}(V12,V4,V13), P_multiplication-{F}(V2,V13,V9), P_addition-{F}(V4,V14,V13), P_multiplication-{F}(V3,V14,V15), P_addition-{F}(V16,V13,V17), P_multiplication-{F}(V3,V17,V18), P_multiplication-{F}(V3,V16,V19), P_addition-{F}(V19,V4,V20), V18 == V20 | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #968: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V9, V6 == V8, V8 == V10; #948 ), references = 1, size of lhs = 21:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3), P_star-{F}(V3,V4), P_addition-{F}(V5,V4,V4), P_multiplication-{F}(V3,V5,V6), P_addition-{F}(V6,V1,V7), P_multiplication-{F}(V8,V1,V4), P_addition-{F}(V6,V8,V9), P_multiplication-{F}(V10,V1,V7), P_addition-{F}(V11,V0,V10), P_multiplication-{F}(V3,V12,V11), P_addition-{F}(V12,V4,V13), P_multiplication-{F}(V2,V13,V9), P_addition-{F}(V4,V14,V13), P_multiplication-{F}(V3,V14,V15), P_addition-{F}(V3,V16,V17), P_multiplication-{F}(V17,V13,V18), P_multiplication-{F}(V16,V13,V19), P_addition-{F}(V4,V19,V20), V18 == V20 | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #1016: mergings( V3 == V5, V5 == V6, V6 == V8, V4 == V7, V7 == V9; #1010 ), references = 2, size of lhs = 20:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V1,V3), P_multiplication-{F}(V4,V2,V5), P_addition-{F}(V5,V4,V3), P_addition-{F}(V5,V6,V5), P_multiplication-{F}(V7,V4,V8), P_star-{F}(V8,V9), P_addition-{F}(V1,V9,V10), P_multiplication-{F}(V11,V7,V8), P_multiplication-{F}(V8,V6,V12), P_addition-{F}(V12,V10,V13), P_multiplication-{F}(V14,V8,V5), P_multiplication-{F}(V8,V14,V15), P_addition-{F}(V15,V11,V15), P_multiplication-{F}(V11,V15,V9), P_multiplication-{F}(V15,V16,V13), P_addition-{F}(V16,V8,V17), P_multiplication-{F}(V15,V17,V18), V18 == V9 | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #1031: exists( #20, #1016 ), references = 1, size of lhs = 18:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V1,V3), P_multiplication-{F}(V4,V2,V5), P_addition-{F}(V5,V4,V3), P_addition-{F}(V5,V6,V5), P_multiplication-{F}(V7,V4,V8), P_star-{F}(V8,V9), P_addition-{F}(V1,V9,V10), P_multiplication-{F}(V11,V7,V8), P_multiplication-{F}(V8,V6,V12), P_addition-{F}(V12,V10,V13), P_multiplication-{F}(V14,V8,V5), P_multiplication-{F}(V8,V14,V15), P_addition-{F}(V15,V11,V15), P_multiplication-{F}(V11,V15,V9), P_multiplication-{F}(V15,V16,V13), P_addition-{F}(V16,V8,V17) | P_multiplication-{T}(V15,V17,V9)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #1068: mergings( V3 == V5, V4 == V6; #1065 ), references = 4, size of lhs = 19:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_addition-{F}(V1,V3,V4), P_multiplication-{F}(V5,V6,V4), P_addition-{F}(V7,V6,V8), P_multiplication-{F}(V5,V7,V9), P_multiplication-{F}(V10,V2,V9), P_multiplication-{F}(V11,V10,V3), P_addition-{F}(V12,V1,V13), P_multiplication-{F}(V14,V12,V15), P_addition-{F}(V16,V14,V13), P_multiplication-{F}(V17,V14,V18), P_multiplication-{F}(V11,V17,V18), P_multiplication-{F}(V18,V15,V19), P_multiplication-{F}(V18,V16,V19), P_multiplication-{F}(V20,V18,V19), P_addition-{F}(V20,V11,V21), P_multiplication-{F}(V21,V18,V9) | P_multiplication-{T}(V5,V8,V3)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #1088: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V11, V11 == V8, V8 == V10, V14 == V13; #1078 ), references = 1, size of lhs = 14:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), P_addition-{F}(V2,V1,V1), P_multiplication-{F}(V1,V2,V1), P_addition-{F}(V1,V3,V3), P_star-{F}(V4,V3), P_multiplication-{F}(V1,V5,V3), P_addition-{F}(V5,V6,V5), P_multiplication-{F}(V5,V7,V3), P_addition-{F}(V4,V7,V8), P_multiplication-{F}(V6,V8,V9), P_addition-{F}(V3,V9,V10), V3 == V10 | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #1099: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V13, V13 == V8, V8 == V10, V10 == V12, V16 == V15; #1079 ), references = 1, size of lhs = 28:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), P_addition-{F}(V2,V1,V1), P_multiplication-{F}(V1,V2,V1), P_addition-{F}(V1,V3,V3), P_star-{F}(V4,V3), P_multiplication-{F}(V1,V5,V3), P_star-{F}(V5,V6), P_multiplication-{F}(V7,V1,V6), P_multiplication-{F}(V5,V8,V3), P_addition-{F}(V4,V8,V9), P_addition-{F}(V5,V10,V5), P_multiplication-{F}(V10,V6,V11), P_addition-{F}(V11,V1,V12), P_addition-{F}(V13,V5,V5), P_addition-{F}(V14,V5,V5), P_addition-{F}(V3,V11,V15), P_multiplication-{F}(V15,V1,V12), P_addition-{F}(V9,V6,V16), P_addition-{F}(V4,V6,V16), P_multiplication-{F}(V13,V16,V17), P_multiplication-{F}(V14,V16,V18), P_addition-{F}(V18,V6,V19), V6 == V19, P_addition-{F}(V5,V20,V5), P_multiplication-{F}(V20,V4,V21), P_addition-{F}(V21,V7,V17) | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #1112: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V11, V11 == V8, V8 == V10, V15 == V14; #1103 ), references = 1, size of lhs = 14:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), P_addition-{F}(V2,V1,V1), P_multiplication-{F}(V1,V2,V1), P_addition-{F}(V1,V3,V3), P_star-{F}(V4,V3), P_multiplication-{F}(V1,V5,V3), P_addition-{F}(V5,V6,V5), P_multiplication-{F}(V5,V7,V3), P_addition-{F}(V4,V7,V8), P_multiplication-{F}(V6,V8,V9), P_addition-{F}(V10,V3,V11), P_addition-{F}(V12,V10,V9) | P_addition-{T}(V12,V11,V3)
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #1192: mergings( V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V4 == V6, V6 == V33, V33 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V0 == V39; #1168 ), references = 1, size of lhs = 26:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), P_a-{F}(V2), P_multiplication-{F}(V2,V2,V3), P_star-{F}(V2,V4), P_star-{F}(V5,V1), P_multiplication-{F}(V5,V4,V6), leq-{F}(V6,V4), P_multiplication-{F}(V1,V6,V6), P_addition-{F}(V1,V6,V7), P_multiplication-{F}(V2,V1,V8), P_multiplication-{F}(V8,V6,V9), P_multiplication-{F}(V2,V6,V9), P_addition-{F}(V10,V1,V1), P_multiplication-{F}(V1,V10,V0), P_multiplication-{F}(V6,V11,V7), P_multiplication-{F}(V6,V12,V6), P_addition-{F}(V6,V13,V6), P_multiplication-{F}(V13,V14,V3), P_star-{F}(V14,V6), P_addition-{F}(V14,V11,V15), P_addition-{F}(V14,V12,V15), P_addition-{F}(V16,V6,V6), P_multiplication-{F}(V16,V14,V17), P_multiplication-{F}(V17,V6,V9) | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #1216: mergings( V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V4 == V6, V6 == V31, V31 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25; #1193 ), references = 1, size of lhs = 23:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), P_a-{F}(V2), P_multiplication-{F}(V2,V1,V2), P_multiplication-{F}(V2,V2,V3), P_star-{F}(V2,V4), P_star-{F}(V5,V1), P_multiplication-{F}(V5,V4,V6), leq-{F}(V6,V4), P_multiplication-{F}(V1,V6,V6), P_addition-{F}(V1,V6,V7), P_addition-{F}(V8,V1,V1), P_multiplication-{F}(V1,V8,V0), P_multiplication-{F}(V6,V9,V7), P_multiplication-{F}(V6,V10,V6), P_addition-{F}(V6,V11,V6), P_multiplication-{F}(V11,V12,V3), P_star-{F}(V12,V6), P_addition-{F}(V12,V9,V13), P_addition-{F}(V12,V10,V13), P_addition-{F}(V14,V6,V6), P_multiplication-{F}(V14,V12,V2) | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #1241: mergings( V2 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V3 == V5, V5 == V29, V29 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V25 == V27; #1217 ), references = 1, size of lhs = 20:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), P_a-{F}(V2), P_multiplication-{F}(V2,V1,V2), P_star-{F}(V3,V1), P_star-{F}(V2,V4), P_multiplication-{F}(V3,V4,V4), leq-{F}(V4,V4), P_multiplication-{F}(V1,V4,V4), P_addition-{F}(V4,V2,V4), P_addition-{F}(V1,V4,V5), P_addition-{F}(V6,V1,V1), P_multiplication-{F}(V1,V6,V0), P_multiplication-{F}(V4,V7,V5), P_multiplication-{F}(V4,V8,V4), P_addition-{F}(V2,V7,V9), P_addition-{F}(V2,V8,V9), P_addition-{F}(V10,V4,V4), P_multiplication-{F}(V10,V2,V2) | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #1283: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V15, V15 == V17, V17 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V40 == V42, V4 == V6, V6 == V8, V8 == V13, V13 == V10, V10 == V12, V12 == V16, V16 == V18, V18 == V43, V43 == V19, V19 == V21, V21 == V23, V23 == V25, V41 == V42, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V38 == V42; #1246 ), references = 1, size of lhs = 23:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), P_addition-{F}(V0,V1,V1), P_addition-{F}(V2,V1,V1), P_multiplication-{F}(V1,V2,V1), P_a-{F}(V3), P_multiplication-{F}(V3,V1,V3), P_star-{F}(V4,V1), P_star-{F}(V3,V5), P_multiplication-{F}(V4,V5,V5), leq-{F}(V5,V5), P_multiplication-{F}(V1,V5,V5), P_addition-{F}(V1,V5,V5), P_addition-{F}(V6,V5,V5), P_multiplication-{F}(V5,V6,V5), P_addition-{F}(V7,V1,V1), P_multiplication-{F}(V1,V7,V0), P_addition-{F}(V8,V5,V5), P_multiplication-{F}(V8,V3,V3), P_addition-{F}(V9,V1,V9), P_multiplication-{F}(V1,V9,V5), P_multiplication-{F}(V9,V6,V5) | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #1328: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V18, V18 == V20, V20 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V5 == V8, V8 == V11, V11 == V15, V15 == V19, V19 == V21, V16 == V21, V21 == V41, V41 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40; #1290 ), references = 1, size of lhs = 12:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), P_star-{F}(V1,V1), P_addition-{F}(V0,V1,V1), P_multiplication-{F}(V1,V2,V1), P_addition-{F}(V2,V1,V1), P_a-{F}(V3), P_multiplication-{F}(V3,V1,V3), P_multiplication-{F}(V1,V3,V3), P_addition-{F}(V4,V1,V1), P_multiplication-{F}(V1,V4,V0) | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #1371: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V14, V14 == V15, V15 == V19, V19 == V21, V21 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V6 == V9, V9 == V12, V12 == V16, V16 == V20, V20 == V22, V17 == V22, V22 == V42, V42 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41; #1331 ), references = 2, size of lhs = 9:
% 64.13/64.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), P_star-{F}(V1,V1), P_addition-{F}(V0,V1,V1), P_multiplication-{F}(V1,V2,V1), P_addition-{F}(V2,V1,V1), P_addition-{F}(V3,V1,V1), P_multiplication-{F}(V1,V3,V0) | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #1389: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #1383 ), references = 1, size of lhs = 1:
% 64.13/64.39 P_zero-{F}(V0) | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 #1391: exists( #19, #1383 ), references = 1, size of lhs = 0:
% 64.13/64.39 FALSE | FALSE
% 64.13/64.39 (used 0 times, uses = {})
% 64.13/64.39
% 64.13/64.39 number of learnt formulas = 67
% 64.13/64.39
% 64.13/64.39
% 64.13/64.39 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 64.13/64.39
% 64.13/64.39 randbase = 1
%------------------------------------------------------------------------------