TSTP Solution File: KLE010+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE010+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.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 06:06:55 EDT 2022
% Result : Theorem 58.67s 58.89s
% Output : Refutation 58.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE010+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n026.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 17:09:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 58.67/58.89 GeoParameters:
% 58.67/58.89
% 58.67/58.89 tptp_input = 1
% 58.67/58.89 tptp_output = 0
% 58.67/58.89 nonempty = 1
% 58.67/58.89 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 58.67/58.89 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 58.67/58.89
% 58.67/58.89
% 58.67/58.89 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 58.67/58.89 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 58.67/58.89
% 58.67/58.89 RuleSystem INPUT:
% 58.67/58.89
% 58.67/58.89 Initial Rules:
% 58.67/58.89 #0: input, references = 4, size of lhs = 3:
% 58.67/58.89 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #1: input, references = 5, size of lhs = 5:
% 58.67/58.89 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
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #2: input, references = 4, size of lhs = 3:
% 58.67/58.89 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #3: input, references = 4, size of lhs = 3:
% 58.67/58.89 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #4: input, references = 4, size of lhs = 6:
% 58.67/58.89 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
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #5: input, references = 4, size of lhs = 4:
% 58.67/58.89 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #6: input, references = 4, size of lhs = 4:
% 58.67/58.89 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #7: input, references = 6, size of lhs = 8:
% 58.67/58.89 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
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #8: input, references = 8, size of lhs = 8:
% 58.67/58.89 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
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #9: input, references = 4, size of lhs = 4:
% 58.67/58.89 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #10: input, references = 4, size of lhs = 4:
% 58.67/58.89 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #11: input, references = 3, size of lhs = 5:
% 58.67/58.89 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #12: input, references = 3, size of lhs = 3:
% 58.67/58.89 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #13: input, references = 7, size of lhs = 3:
% 58.67/58.89 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2) | pppp0-{T}(V2)
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #14: input, references = 12, size of lhs = 3:
% 58.67/58.89 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | test-{T}(V2)
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #15: input, references = 5, size of lhs = 3:
% 58.67/58.89 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | EXISTS V3: pppp2-{T}(V2,V3)
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #16: input, references = 12, size of lhs = 3:
% 58.67/58.89 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp0-{T}(V2)
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #17: input, references = 9, size of lhs = 1:
% 58.67/58.89 pppp2-{F}(V0,V1) | complement-{T}(V1,V0)
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #18: input, references = 18, size of lhs = 3:
% 58.67/58.89 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp1-{T}(V2,V3)
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #19: input, references = 5, size of lhs = 3:
% 58.67/58.89 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | complement-{T}(V3,V2)
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #20: input, references = 6, size of lhs = 7:
% 58.67/58.89 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V3,V2,V5), P_addition-{F}(V2,V3,V6), pppp1-{F}(V2,V3), V4 == V0 | FALSE
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #21: input, references = 6, size of lhs = 7:
% 58.67/58.89 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V3,V2,V5), P_addition-{F}(V2,V3,V6), pppp1-{F}(V2,V3), V5 == V0 | FALSE
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #22: input, references = 7, size of lhs = 7:
% 58.67/58.89 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V3,V2,V5), P_addition-{F}(V2,V3,V6), pppp1-{F}(V2,V3), V6 == V1 | FALSE
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #23: input, references = 5, size of lhs = 5:
% 58.67/58.89 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_multiplication-{F}(V3,V2,V0), P_addition-{F}(V2,V3,V1) | pppp1-{T}(V2,V3)
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #24: input, references = 19, size of lhs = 4:
% 58.67/58.89 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V4), test-{F}(V2) | complement-{T}(V2,V4)
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #25: input, references = 6, size of lhs = 6:
% 58.67/58.89 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), test-{F}(V2), complement-{F}(V2,V4), V3 == V4 | FALSE
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #26: input, references = 14, size of lhs = 4:
% 58.67/58.89 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), V3 == V0 | test-{T}(V2)
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #27: input, references = 6, size of lhs = 10:
% 58.67/58.89 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), test-{F}(V2), P_addition-{F}(V4,V2,V5), P_c-{F}(V5,V6), P_c-{F}(V4,V7), P_multiplication-{F}(V7,V3,V8), test-{F}(V4), V6 == V8 | FALSE
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #28: input, references = 5, size of lhs = 10:
% 58.67/58.89 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), test-{F}(V2), P_multiplication-{F}(V4,V2,V5), P_c-{F}(V5,V6), P_c-{F}(V4,V7), P_addition-{F}(V7,V3,V8), test-{F}(V4), V6 == V8 | FALSE
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #29: input, references = 4, size of lhs = 2:
% 58.67/58.89 P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp4-{T}(V2,V1)
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #30: input, references = 5, size of lhs = 2:
% 58.67/58.89 pppp4-{F}(V0,V1), P_c-{F}(V0,V2) | EXISTS V3: pppp3-{T}(V3,V0,V1,V2)
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #31: input, references = 6, size of lhs = 2:
% 58.67/58.89 pppp4-{F}(V0,V1), P_c-{F}(V0,V2) | test-{T}(V0)
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #32: input, references = 8, size of lhs = 11:
% 58.67/58.89 pppp3-{F}(V0,V1,V13,V3), P_multiplication-{F}(V1,V0,V4), P_multiplication-{F}(V3,V0,V5), P_addition-{F}(V4,V5,V6), P_multiplication-{F}(V0,V1,V7), P_addition-{F}(V6,V7,V8), P_c-{F}(V0,V9), P_multiplication-{F}(V9,V1,V10), P_addition-{F}(V8,V10,V11), P_multiplication-{F}(V9,V3,V12), P_addition-{F}(V11,V12,V13) | FALSE
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #33: input, references = 8, size of lhs = 11:
% 58.67/58.89 pppp3-{F}(V0,V1,V2,V3), P_multiplication-{F}(V1,V0,V4), P_multiplication-{F}(V3,V0,V5), P_addition-{F}(V4,V5,V6), P_multiplication-{F}(V0,V1,V7), P_addition-{F}(V6,V7,V8), P_c-{F}(V0,V9), P_multiplication-{F}(V9,V1,V10), P_addition-{F}(V8,V10,V11), P_multiplication-{F}(V9,V3,V12), P_addition-{F}(V11,V12,V13) | test-{T}(V0)
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #34: input, references = 12, size of lhs = 2:
% 58.67/58.89 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #35: input, references = 4, size of lhs = 0:
% 58.67/58.89 FALSE | EXISTS V0: P_zero-{T}(V0)
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #36: input, references = 25, size of lhs = 2:
% 58.67/58.89 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #37: input, references = 4, size of lhs = 0:
% 58.67/58.89 FALSE | EXISTS V0: P_one-{T}(V0)
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #38: input, references = 11, size of lhs = 1:
% 58.67/58.89 #-{F} V0 | EXISTS V1: P_c-{T}(V0,V1)
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 number of initial rules = 39
% 58.67/58.89
% 58.67/58.89 Simplifiers:
% 58.67/58.89 #39: unsound, references = 3, size of lhs = 3:
% 58.67/58.89 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #40: unsound, references = 3, size of lhs = 3:
% 58.67/58.89 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #41: unsound, references = 3, size of lhs = 3:
% 58.67/58.89 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #42: unsound, references = 3, size of lhs = 3:
% 58.67/58.89 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #43: unsound, references = 3, size of lhs = 3:
% 58.67/58.89 P_c-{F}(V0,V1), P_c-{F}(V0,V3), V1 == V3 | FALSE
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #44: unsound, references = 3, size of lhs = 3:
% 58.67/58.89 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #45: unsound, references = 3, size of lhs = 3:
% 58.67/58.89 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #46: unsound, references = 3, size of lhs = 3:
% 58.67/58.89 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V2,V7), V1 == V5 | FALSE
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #47: unsound, references = 3, size of lhs = 3:
% 58.67/58.89 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #48: unsound, references = 3, size of lhs = 3:
% 58.67/58.89 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V1,V6,V7), V3 == V7 | FALSE
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #49: unsound, references = 3, size of lhs = 3:
% 58.67/58.89 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #50: unsound, references = 3, size of lhs = 3:
% 58.67/58.89 pppp4-{F}(V0,V1), pppp4-{F}(V2,V3), V1 == V3 | FALSE
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 number of simplifiers = 12
% 58.67/58.89
% 58.67/58.89 Learnt:
% 58.67/58.89 #52: exists( #34, #3 ), references = 6, size of lhs = 2:
% 58.67/58.89 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #55: exists( #36, #5 ), references = 20, size of lhs = 3:
% 58.67/58.89 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #56: exists( #36, #6 ), references = 20, size of lhs = 3:
% 58.67/58.89 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #59: exists( #36, #9 ), references = 11, size of lhs = 3:
% 58.67/58.89 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #60: exists( #36, #10 ), references = 9, size of lhs = 3:
% 58.67/58.89 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #62: exists( #34, #2 ), references = 21, size of lhs = 2:
% 58.67/58.89 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #68: exists( #36, #22 ), references = 1, size of lhs = 5:
% 58.67/58.89 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V3), V3 == V1 | FALSE
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #70: mergings( V4 == V3; #65 ), references = 1, size of lhs = 4:
% 58.67/58.89 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V1) | P_multiplication-{T}(V2,V2,V0)
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #76: exists( #34, #0 ), references = 46, size of lhs = 1:
% 58.67/58.89 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #80: exists( #38, #25 ), references = 6, size of lhs = 4:
% 58.67/58.89 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), complement-{F}(V2,V3) | P_c-{T}(V2,V3)
% 58.67/58.89 (used 0 times, uses = {})
% 58.67/58.89
% 58.67/58.89 #88: exists( #34, #84 ), references = 5, size of lhs = 6:
% 58.67/58.89 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), V4 == V0, P_multiplication-{F}(V3,V2,V5) | FALSE
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #90: mergings( V5 == V3; #87 ), references = 1, size of lhs = 6:
% 58.67/58.90 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V2,V3,V0), P_multiplication-{F}(V3,V2,V4), V4 == V0 | FALSE
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #98: exists( #38, #28 ), references = 7, size of lhs = 8:
% 58.67/58.90 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), P_c-{F}(V2,V3), test-{F}(V4), P_multiplication-{F}(V4,V2,V5), P_c-{F}(V4,V6), P_addition-{F}(V6,V3,V7) | P_c-{T}(V5,V7)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #103: exists( #38, #27 ), references = 4, size of lhs = 8:
% 58.67/58.90 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), P_c-{F}(V2,V3), test-{F}(V4), P_addition-{F}(V4,V2,V5), P_c-{F}(V4,V6), P_multiplication-{F}(V6,V3,V7) | P_c-{T}(V5,V7)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #120: exists( #34, #28 ), references = 8, size of lhs = 8:
% 58.67/58.90 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), P_c-{F}(V2,V3), test-{F}(V4), P_multiplication-{F}(V4,V2,V5), P_c-{F}(V5,V6), P_c-{F}(V4,V7) | P_addition-{T}(V7,V3,V6)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #124: exists( #36, #27 ), references = 5, size of lhs = 8:
% 58.67/58.90 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), P_c-{F}(V2,V3), test-{F}(V4), P_addition-{F}(V4,V2,V5), P_c-{F}(V5,V6), P_c-{F}(V4,V7) | P_multiplication-{T}(V7,V3,V6)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #146: mergings( V0 == V4, V4 == V6, V6 == V7, V7 == V8, V1 == V2, V2 == V5, V5 == V9; #138 ), references = 1, size of lhs = 3:
% 58.67/58.90 pppp0-{F}(V0), P_one-{F}(V0), P_zero-{F}(V1) | pppp2-{T}(V0,V1)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #170: exists( #34, #1 ), references = 9, size of lhs = 3:
% 58.67/58.90 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V0,V4), P_addition-{F}(V4,V1,V5) | P_addition-{T}(V3,V2,V5)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #185: exists( #36, #88 ), references = 1, size of lhs = 4:
% 58.67/58.90 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4) | P_multiplication-{T}(V2,V3,V0)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #190: mergings( V3 == V5, V4 == V6; #187 ), references = 4, size of lhs = 5:
% 58.67/58.90 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_addition-{F}(V2,V3,V4), V4 == V1 | FALSE
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #195: mergings( V3 == V5, V4 == V6; #192 ), references = 7, size of lhs = 3:
% 58.67/58.90 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | P_addition-{T}(V3,V2,V1)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #202: exists( #36, #27 ), references = 1, size of lhs = 8:
% 58.67/58.90 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), P_c-{F}(V2,V3), test-{F}(V4), P_addition-{F}(V4,V2,V5), P_c-{F}(V5,V6), P_c-{F}(V4,V7) | P_multiplication-{T}(V7,V3,V6)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #209: mergings( V2 == V4, V3 == V5; #206 ), references = 1, size of lhs = 3:
% 58.67/58.90 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V2,V3) | P_c-{T}(V2,V0), P_c-{T}(V2,V3)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #215: mergings( V3 == V4; #212 ), references = 9, size of lhs = 5:
% 58.67/58.90 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_addition-{F}(V4,V3,V5), P_multiplication-{F}(V2,V5,V6) | P_multiplication-{T}(V2,V4,V6)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #217: mergings( V3 == V4; #213 ), references = 16, size of lhs = 5:
% 58.67/58.90 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_addition-{F}(V4,V2,V5), P_multiplication-{F}(V5,V3,V6) | P_multiplication-{T}(V4,V3,V6)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #225: exists( #34, #7 ), references = 16, size of lhs = 6:
% 58.67/58.90 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)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #226: exists( #34, #8 ), references = 15, size of lhs = 6:
% 58.67/58.90 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)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #269: mergings( V3 == V4, V4 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V16, V5 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V17; #255 ), references = 1, size of lhs = 8:
% 58.67/58.90 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V2), P_c-{F}(V2,V3), P_addition-{F}(V3,V1,V4), P_one-{F}(V4), P_zero-{F}(V5), V4 == V5 | P_multiplication-{T}(V2,V0,V5)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #283: mergings( V3 == V4, V4 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V5 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19; #256 ), references = 1, size of lhs = 13:
% 58.67/58.90 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V2), P_c-{F}(V2,V3), P_addition-{F}(V3,V1,V4), P_one-{F}(V4), P_zero-{F}(V5), V4 == V5, P_addition-{F}(V0,V6,V7), P_multiplication-{F}(V2,V7,V8), P_multiplication-{F}(V2,V6,V9), P_addition-{F}(V9,V10,V4), P_addition-{F}(V8,V10,V11) | P_multiplication-{T}(V2,V0,V5)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #297: mergings( V3 == V4, V4 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V5 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19; #257 ), references = 1, size of lhs = 13:
% 58.67/58.90 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V2), P_c-{F}(V2,V3), P_addition-{F}(V3,V1,V4), P_one-{F}(V4), P_zero-{F}(V5), V4 == V5, P_addition-{F}(V0,V6,V7), P_multiplication-{F}(V2,V7,V8), P_multiplication-{F}(V2,V6,V9), P_addition-{F}(V9,V10,V4), P_addition-{F}(V8,V10,V11) | P_multiplication-{T}(V2,V0,V5)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #320: mergings( V0 == V2, V2 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V1 == V3, V3 == V7, V7 == V10, V10 == V12, V12 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24; #300 ), references = 1, size of lhs = 13:
% 58.67/58.90 test-{F}(V0), P_c-{F}(V0,V1), P_zero-{F}(V2), P_one-{F}(V3), V3 == V2, P_addition-{F}(V1,V4,V3), V4 == V2, complement-{F}(V5,V4), P_addition-{F}(V0,V6,V7), P_multiplication-{F}(V7,V5,V8), P_multiplication-{F}(V6,V5,V9), P_addition-{F}(V2,V9,V10), V8 == V10 | P_c-{T}(V5,V2)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #324: exists( #36, #88 ), references = 1, size of lhs = 5:
% 58.67/58.90 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), V4 == V0 | FALSE
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #327: mergings( V6 == V4, V5 == V3; #322 ), references = 5, size of lhs = 5:
% 58.67/58.90 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V2,V3,V0), P_addition-{F}(V2,V3,V1) | P_multiplication-{T}(V3,V2,V0)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #329: exists( #36, #323 ), references = 5, size of lhs = 3:
% 58.67/58.90 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | P_multiplication-{T}(V2,V3,V0)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #350: mergings( V0 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V15, V1 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V16; #336 ), references = 5, size of lhs = 7:
% 58.67/58.90 pppp0-{F}(V0), P_zero-{F}(V1), P_one-{F}(V2), P_multiplication-{F}(V3,V0,V1), P_addition-{F}(V0,V3,V2), P_multiplication-{F}(V3,V2,V4), P_addition-{F}(V1,V4,V5) | pppp2-{T}(V0,V5)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #384: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #373 ), references = 1, size of lhs = 9:
% 58.67/58.90 P_zero-{F}(V0), P_one-{F}(V1), pppp3-{F}(V2,V0,V1,V1), P_multiplication-{F}(V0,V2,V3), P_multiplication-{F}(V1,V2,V4), P_addition-{F}(V3,V4,V5), P_multiplication-{F}(V2,V0,V6), P_addition-{F}(V5,V6,V7), P_addition-{F}(V7,V0,V2) | P_c-{T}(V2,V0)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #423: mergings( V4 == V7, V7 == V0, V0 == V10, V10 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V19, V5 == V6, V6 == V2, V2 == V8, V8 == V1, V1 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V20; #403 ), references = 1, size of lhs = 6:
% 58.67/58.90 P_zero-{F}(V0), P_multiplication-{F}(V0,V0,V0), P_c-{F}(V0,V1), P_multiplication-{F}(V0,V1,V0), pppp4-{F}(V0,V1), P_one-{F}(V1) | pppp3-{T}(V1,V0,V1,V1)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #484: exists( #36, #8 ), references = 4, size of lhs = 6:
% 58.67/58.90 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)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #485: exists( #36, #7 ), references = 7, size of lhs = 6:
% 58.67/58.90 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)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #509: 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; #495 ), references = 5, size of lhs = 22:
% 58.67/58.90 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V1), P_multiplication-{F}(V4,V3,V0), P_multiplication-{F}(V2,V5,V4), P_multiplication-{F}(V6,V3,V0), P_multiplication-{F}(V2,V7,V6), P_multiplication-{F}(V8,V2,V0), P_addition-{F}(V9,V5,V7), P_c-{F}(V9,V10), P_multiplication-{F}(V10,V2,V11), P_multiplication-{F}(V12,V9,V8), P_addition-{F}(V2,V12,V13), P_multiplication-{F}(V13,V9,V9), P_multiplication-{F}(V14,V9,V9), P_addition-{F}(V2,V14,V15), P_multiplication-{F}(V15,V9,V16), P_addition-{F}(V16,V11,V17), P_multiplication-{F}(V18,V9,V8), P_multiplication-{F}(V10,V18,V19), P_addition-{F}(V17,V19,V20), pppp3-{F}(V9,V2,V20,V18) | FALSE
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #547: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15; #534 ), references = 1, size of lhs = 21:
% 58.67/58.90 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_addition-{F}(V3,V4,V1), P_multiplication-{F}(V4,V5,V0), P_multiplication-{F}(V4,V6,V0), P_multiplication-{F}(V3,V7,V0), P_multiplication-{F}(V8,V9,V5), P_multiplication-{F}(V10,V9,V6), P_addition-{F}(V8,V11,V10), P_multiplication-{F}(V11,V12,V7), P_addition-{F}(V12,V9,V13), P_multiplication-{F}(V11,V13,V14), P_multiplication-{F}(V14,V2,V15), P_multiplication-{F}(V2,V14,V16), P_addition-{F}(V17,V16,V7), P_addition-{F}(V15,V18,V17), P_multiplication-{F}(V19,V2,V18), P_multiplication-{F}(V3,V19,V20), P_addition-{F}(V14,V20,V21), pppp3-{F}(V2,V14,V21,V19) | FALSE
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #561: 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; #535 ), references = 1, size of lhs = 30:
% 58.67/58.90 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_multiplication-{F}(V2,V4,V0), P_addition-{F}(V5,V2,V1), P_c-{F}(V6,V5), P_multiplication-{F}(V7,V6,V6), P_multiplication-{F}(V8,V6,V6), P_multiplication-{F}(V5,V9,V0), P_multiplication-{F}(V10,V6,V9), P_addition-{F}(V11,V7,V10), P_addition-{F}(V11,V12,V1), P_addition-{F}(V11,V13,V8), P_multiplication-{F}(V13,V6,V14), P_multiplication-{F}(V14,V11,V0), P_multiplication-{F}(V15,V12,V0), P_multiplication-{F}(V11,V16,V15), P_addition-{F}(V6,V16,V17), P_multiplication-{F}(V11,V17,V18), P_multiplication-{F}(V18,V12,V0), P_multiplication-{F}(V19,V6,V14), P_multiplication-{F}(V5,V19,V20), P_addition-{F}(V11,V20,V21), pppp3-{F}(V6,V11,V21,V19), P_multiplication-{F}(V22,V23,V3), P_multiplication-{F}(V24,V23,V4), P_addition-{F}(V22,V25,V24), P_multiplication-{F}(V25,V26,V9), P_addition-{F}(V26,V23,V27), P_multiplication-{F}(V25,V27,V11) | FALSE
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #582: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #577 ), references = 3, size of lhs = 24:
% 58.67/58.90 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V1), P_multiplication-{F}(V4,V2,V0), P_multiplication-{F}(V5,V2,V0), P_multiplication-{F}(V6,V3,V0), P_multiplication-{F}(V2,V7,V6), P_multiplication-{F}(V8,V3,V0), P_multiplication-{F}(V2,V9,V8), P_addition-{F}(V10,V7,V9), P_c-{F}(V10,V11), P_multiplication-{F}(V11,V2,V12), P_multiplication-{F}(V13,V10,V10), P_addition-{F}(V2,V13,V14), P_multiplication-{F}(V14,V10,V15), P_addition-{F}(V15,V12,V16), P_multiplication-{F}(V17,V10,V10), P_addition-{F}(V2,V18,V17), P_multiplication-{F}(V11,V18,V19), P_addition-{F}(V16,V19,V20), pppp3-{F}(V10,V2,V20,V18), P_multiplication-{F}(V18,V21,V4), P_addition-{F}(V10,V21,V22), P_multiplication-{F}(V18,V22,V5) | FALSE
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #655: mergings( V3 == V5, V5 == V7, V7 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V30, V30 == V32, V4 == V6, V6 == V8, V8 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V31, V31 == V33; #628 ), references = 1, size of lhs = 40:
% 58.67/58.90 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V2), P_c-{F}(V2,V3), P_addition-{F}(V3,V1,V4), test-{F}(V5), P_c-{F}(V5,V0), test-{F}(V6), P_addition-{F}(V6,V5,V4), P_c-{F}(V6,V2), P_zero-{F}(V7), V4 == V7, P_one-{F}(V8), test-{F}(V9), P_c-{F}(V9,V10), test-{F}(V11), P_addition-{F}(V11,V9,V4), P_c-{F}(V11,V12), P_c-{F}(V13,V12), P_multiplication-{F}(V10,V13,V14), P_addition-{F}(V0,V15,V16), P_multiplication-{F}(V2,V16,V17), P_multiplication-{F}(V2,V15,V18), P_multiplication-{F}(V18,V19,V7), P_addition-{F}(V19,V20,V4), P_multiplication-{F}(V17,V19,V21), P_multiplication-{F}(V22,V20,V7), P_multiplication-{F}(V23,V0,V22), P_addition-{F}(V2,V23,V24), P_multiplication-{F}(V24,V0,V25), P_multiplication-{F}(V25,V20,V26), P_addition-{F}(V21,V26,V27), P_c-{F}(V27,V28), pppp3-{F}(V13,V29,V28,V10), P_multiplication-{F}(V29,V13,V30), P_addition-{F}(V30,V14,V31), P_multiplication-{F}(V13,V29,V32), P_addition-{F}(V31,V32,V33), P_multiplication-{F}(V12,V29,V34), P_addition-{F}(V33,V34,V4) | FALSE
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #682: mergings( V3 == V5, V5 == V7, V7 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V30, V30 == V32, V32 == V38, V4 == V6, V6 == V8, V8 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V31, V31 == V33, V33 == V39; #629 ), references = 1, size of lhs = 49:
% 58.67/58.90 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V2), P_c-{F}(V2,V3), P_addition-{F}(V3,V1,V4), test-{F}(V5), P_c-{F}(V5,V0), test-{F}(V6), P_addition-{F}(V6,V5,V4), P_c-{F}(V6,V2), test-{F}(V7), P_c-{F}(V7,V8), test-{F}(V9), P_addition-{F}(V9,V7,V4), P_c-{F}(V9,V10), P_zero-{F}(V11), V4 == V11, P_one-{F}(V12), P_c-{F}(V13,V10), P_multiplication-{F}(V14,V13,V13), P_multiplication-{F}(V8,V13,V15), P_multiplication-{F}(V15,V16,V11), P_addition-{F}(V16,V17,V12), P_multiplication-{F}(V10,V16,V18), P_multiplication-{F}(V19,V13,V15), P_addition-{F}(V16,V19,V20), P_multiplication-{F}(V20,V13,V13), P_addition-{F}(V16,V14,V21), P_multiplication-{F}(V21,V13,V22), P_addition-{F}(V22,V18,V4), pppp3-{F}(V13,V16,V23,V8), P_c-{F}(V24,V23), P_multiplication-{F}(V25,V17,V11), P_multiplication-{F}(V16,V26,V25), P_addition-{F}(V13,V26,V27), P_multiplication-{F}(V16,V27,V28), P_multiplication-{F}(V28,V17,V11), P_addition-{F}(V0,V29,V30), P_multiplication-{F}(V2,V30,V31), P_multiplication-{F}(V2,V29,V32), P_multiplication-{F}(V32,V33,V11), P_addition-{F}(V33,V34,V4), P_multiplication-{F}(V31,V33,V35), P_multiplication-{F}(V36,V34,V11), P_multiplication-{F}(V37,V0,V36), P_addition-{F}(V2,V37,V38), P_multiplication-{F}(V38,V0,V39), P_multiplication-{F}(V39,V34,V40), P_addition-{F}(V35,V40,V24) | FALSE
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #709: mergings( V3 == V5, V5 == V7, V7 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V30, V30 == V32, V32 == V37, V4 == V6, V6 == V8, V8 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V31, V31 == V33, V33 == V38; #630 ), references = 2, size of lhs = 49:
% 58.67/58.90 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V2), P_c-{F}(V2,V3), P_addition-{F}(V3,V1,V4), test-{F}(V5), P_c-{F}(V5,V0), test-{F}(V6), P_addition-{F}(V6,V5,V4), P_c-{F}(V6,V2), test-{F}(V7), P_c-{F}(V7,V2), test-{F}(V8), P_addition-{F}(V8,V7,V4), P_c-{F}(V8,V9), P_zero-{F}(V10), V4 == V10, P_one-{F}(V11), P_c-{F}(V12,V9), P_multiplication-{F}(V13,V12,V12), P_addition-{F}(V12,V0,V14), P_multiplication-{F}(V2,V14,V15), P_multiplication-{F}(V15,V16,V10), P_addition-{F}(V16,V2,V17), P_multiplication-{F}(V17,V12,V12), P_addition-{F}(V16,V18,V11), P_multiplication-{F}(V9,V16,V19), P_addition-{F}(V16,V13,V20), P_multiplication-{F}(V20,V12,V21), P_addition-{F}(V21,V19,V4), P_addition-{F}(V16,V22,V4), P_multiplication-{F}(V23,V16,V10), P_multiplication-{F}(V2,V24,V23), P_addition-{F}(V0,V24,V25), P_multiplication-{F}(V2,V25,V26), P_multiplication-{F}(V26,V16,V10), P_multiplication-{F}(V27,V22,V10), P_multiplication-{F}(V28,V0,V27), P_addition-{F}(V2,V28,V29), P_multiplication-{F}(V29,V0,V30), P_multiplication-{F}(V30,V22,V31), P_addition-{F}(V10,V31,V32), P_c-{F}(V32,V33), pppp3-{F}(V12,V16,V33,V2), P_multiplication-{F}(V34,V18,V10), P_multiplication-{F}(V16,V35,V34), P_addition-{F}(V12,V35,V36), P_multiplication-{F}(V16,V36,V37), P_multiplication-{F}(V37,V18,V10) | FALSE
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #794: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V35, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V36; #770 ), references = 1, size of lhs = 66:
% 58.67/58.90 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V2), P_c-{F}(V2,V3), P_addition-{F}(V3,V1,V4), test-{F}(V5), P_c-{F}(V5,V0), test-{F}(V6), P_addition-{F}(V6,V5,V4), P_c-{F}(V6,V2), test-{F}(V7), P_c-{F}(V7,V2), test-{F}(V8), P_addition-{F}(V8,V7,V4), P_c-{F}(V8,V9), P_zero-{F}(V10), V4 == V10, P_multiplication-{F}(V9,V11,V10), P_one-{F}(V12), P_addition-{F}(V13,V11,V4), P_addition-{F}(V13,V2,V14), P_addition-{F}(V13,V15,V12), P_addition-{F}(V13,V16,V4), P_addition-{F}(V9,V17,V12), P_multiplication-{F}(V18,V15,V10), P_multiplication-{F}(V19,V15,V10), P_multiplication-{F}(V20,V13,V10), P_multiplication-{F}(V2,V21,V20), P_multiplication-{F}(V14,V22,V22), P_c-{F}(V22,V9), P_addition-{F}(V22,V0,V21), P_multiplication-{F}(V23,V22,V22), P_addition-{F}(V13,V23,V24), P_multiplication-{F}(V24,V22,V25), P_multiplication-{F}(V9,V25,V10), P_multiplication-{F}(V26,V15,V10), P_multiplication-{F}(V13,V27,V26), P_addition-{F}(V22,V28,V27), P_multiplication-{F}(V13,V28,V29), P_multiplication-{F}(V30,V13,V10), P_multiplication-{F}(V2,V31,V30), P_addition-{F}(V0,V31,V32), P_multiplication-{F}(V2,V32,V33), P_multiplication-{F}(V33,V13,V10), P_multiplication-{F}(V34,V16,V10), P_multiplication-{F}(V35,V0,V34), P_addition-{F}(V2,V35,V36), P_multiplication-{F}(V36,V0,V37), P_multiplication-{F}(V37,V16,V38), P_addition-{F}(V10,V38,V39), P_c-{F}(V39,V40), pppp3-{F}(V22,V13,V40,V2), P_multiplication-{F}(V17,V41,V10), P_multiplication-{F}(V17,V42,V10), P_multiplication-{F}(V43,V44,V18), P_multiplication-{F}(V43,V45,V29), P_addition-{F}(V44,V45,V46), P_multiplication-{F}(V43,V46,V19), P_multiplication-{F}(V47,V48,V41), P_multiplication-{F}(V49,V48,V10), P_multiplication-{F}(V50,V48,V42), P_addition-{F}(V51,V47,V50), P_addition-{F}(V49,V51,V52), P_multiplication-{F}(V52,V53,V25), P_addition-{F}(V53,V48,V54), P_multiplication-{F}(V52,V54,V4) | FALSE
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #835: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V34, V5 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V35, V31 == V33; #805 ), references = 1, size of lhs = 59:
% 58.67/58.90 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V1), P_c-{F}(V1,V0), test-{F}(V2), P_c-{F}(V2,V3), test-{F}(V3), P_c-{F}(V3,V2), P_multiplication-{F}(V0,V1,V4), P_zero-{F}(V4), P_one-{F}(V5), P_addition-{F}(V3,V2,V6), P_addition-{F}(V3,V7,V5), P_addition-{F}(V0,V8,V5), P_multiplication-{F}(V1,V9,V4), P_addition-{F}(V10,V9,V5), P_multiplication-{F}(V11,V10,V4), P_addition-{F}(V11,V1,V12), P_addition-{F}(V12,V3,V13), P_multiplication-{F}(V13,V10,V14), P_multiplication-{F}(V0,V14,V4), P_multiplication-{F}(V15,V7,V4), P_multiplication-{F}(V16,V4,V15), P_multiplication-{F}(V16,V17,V4), P_multiplication-{F}(V18,V3,V4), P_multiplication-{F}(V2,V19,V18), P_multiplication-{F}(V6,V20,V20), P_c-{F}(V20,V0), P_addition-{F}(V20,V0,V19), P_multiplication-{F}(V21,V20,V20), P_addition-{F}(V3,V21,V22), P_multiplication-{F}(V22,V20,V14), P_multiplication-{F}(V23,V7,V4), P_multiplication-{F}(V3,V24,V23), P_addition-{F}(V20,V25,V24), P_multiplication-{F}(V3,V25,V26), P_multiplication-{F}(V26,V7,V4), P_multiplication-{F}(V27,V3,V4), P_multiplication-{F}(V2,V28,V27), P_addition-{F}(V0,V28,V29), P_multiplication-{F}(V2,V29,V30), P_multiplication-{F}(V30,V3,V4), P_multiplication-{F}(V31,V1,V4), P_multiplication-{F}(V32,V0,V31), P_addition-{F}(V2,V32,V33), P_multiplication-{F}(V33,V0,V34), P_multiplication-{F}(V34,V1,V35), P_addition-{F}(V4,V35,V36), P_c-{F}(V36,V37), pppp3-{F}(V20,V3,V37,V2), P_multiplication-{F}(V8,V38,V4), P_multiplication-{F}(V39,V9,V38), P_addition-{F}(V3,V39,V40), P_multiplication-{F}(V40,V9,V41), P_multiplication-{F}(V8,V41,V4), P_multiplication-{F}(V16,V42,V26), P_addition-{F}(V17,V43,V44), P_addition-{F}(V44,V45,V42), P_addition-{F}(V43,V45,V46) | P_addition-{T}(V3,V1,V4)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #900: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V26, V26 == V27, V27 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V40, V40 == V42, V42 == V44, V44 == V49, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V28, V28 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V38, V38 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V46, V46 == V50; #856 ), references = 1, size of lhs = 44:
% 58.67/58.90 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V2), P_c-{F}(V2,V3), test-{F}(V3), P_c-{F}(V3,V2), P_zero-{F}(V4), P_one-{F}(V5), P_addition-{F}(V2,V5,V5), P_addition-{F}(V3,V5,V5), P_addition-{F}(V3,V2,V6), P_addition-{F}(V3,V7,V5), P_addition-{F}(V5,V3,V8), P_addition-{F}(V4,V4,V9), P_c-{F}(V9,V10), P_multiplication-{F}(V2,V5,V11), P_multiplication-{F}(V11,V3,V4), P_addition-{F}(V5,V1,V12), P_multiplication-{F}(V3,V12,V13), P_multiplication-{F}(V13,V7,V4), P_multiplication-{F}(V2,V1,V14), P_multiplication-{F}(V14,V3,V4), P_multiplication-{F}(V15,V3,V4), P_multiplication-{F}(V2,V16,V15), P_multiplication-{F}(V3,V16,V17), P_multiplication-{F}(V17,V7,V4), P_c-{F}(V18,V16), P_multiplication-{F}(V19,V7,V4), P_multiplication-{F}(V20,V4,V19), P_multiplication-{F}(V20,V21,V4), P_multiplication-{F}(V20,V22,V17), P_multiplication-{F}(V6,V23,V23), P_multiplication-{F}(V23,V0,V18), P_multiplication-{F}(V8,V23,V23), pppp3-{F}(V23,V3,V10,V2), P_addition-{F}(V23,V24,V23), P_addition-{F}(V4,V24,V25), V4 == V25, P_multiplication-{F}(V26,V23,V23), P_addition-{F}(V3,V26,V27), P_multiplication-{F}(V27,V23,V23), P_addition-{F}(V21,V28,V29), P_addition-{F}(V29,V30,V22), P_addition-{F}(V28,V30,V31) | P_c-{T}(V23,V4)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #953: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V30 == V31; #931 ), references = 1, size of lhs = 24:
% 58.67/58.90 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V1), P_multiplication-{F}(V4,V3,V0), P_multiplication-{F}(V2,V5,V4), P_multiplication-{F}(V6,V3,V0), P_multiplication-{F}(V2,V7,V6), P_multiplication-{F}(V8,V2,V0), P_addition-{F}(V5,V9,V7), P_c-{F}(V9,V10), P_addition-{F}(V10,V9,V11), V11 == V1, P_multiplication-{F}(V10,V2,V12), P_multiplication-{F}(V13,V9,V8), P_addition-{F}(V2,V13,V14), P_multiplication-{F}(V14,V9,V9), P_multiplication-{F}(V15,V9,V9), P_addition-{F}(V2,V15,V16), P_multiplication-{F}(V16,V9,V17), P_addition-{F}(V17,V12,V18), P_multiplication-{F}(V19,V9,V8), pppp3-{F}(V9,V2,V20,V19), P_multiplication-{F}(V10,V19,V21), P_addition-{F}(V18,V21,V22) | FALSE
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #974: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V30 == V31; #932 ), references = 1, size of lhs = 26:
% 58.67/58.90 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V1), P_multiplication-{F}(V4,V3,V0), P_multiplication-{F}(V2,V5,V4), P_multiplication-{F}(V6,V3,V0), P_multiplication-{F}(V2,V7,V6), P_multiplication-{F}(V8,V2,V0), P_addition-{F}(V5,V9,V7), P_c-{F}(V9,V10), P_multiplication-{F}(V10,V9,V11), P_multiplication-{F}(V9,V10,V12), P_addition-{F}(V10,V9,V13), V13 == V1, P_multiplication-{F}(V10,V2,V14), P_multiplication-{F}(V15,V9,V8), P_addition-{F}(V2,V15,V16), P_multiplication-{F}(V16,V9,V9), P_multiplication-{F}(V17,V9,V9), P_addition-{F}(V2,V17,V18), P_multiplication-{F}(V18,V9,V19), P_addition-{F}(V19,V14,V20), P_multiplication-{F}(V21,V9,V8), pppp3-{F}(V9,V2,V22,V21), P_multiplication-{F}(V10,V21,V23), P_addition-{F}(V20,V23,V24) | FALSE
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #984: exists( #36, #4 ), references = 1, size of lhs = 4:
% 58.67/58.90 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)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #1003: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10, V11 == V12; #994 ), references = 1, size of lhs = 16:
% 58.67/58.90 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_addition-{F}(V3,V2,V4), V4 == V1, P_multiplication-{F}(V5,V2,V6), P_multiplication-{F}(V3,V5,V7), P_addition-{F}(V8,V5,V9), P_multiplication-{F}(V2,V9,V10), P_multiplication-{F}(V2,V8,V11), P_addition-{F}(V10,V7,V12), P_addition-{F}(V6,V13,V11), P_multiplication-{F}(V14,V2,V13), pppp3-{F}(V2,V5,V15,V14), P_multiplication-{F}(V3,V14,V16), P_addition-{F}(V12,V16,V17) | FALSE
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #1011: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10, V11 == V12; #995 ), references = 1, size of lhs = 18:
% 58.67/58.90 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4), P_multiplication-{F}(V2,V3,V5), P_addition-{F}(V3,V2,V6), V6 == V1, P_multiplication-{F}(V7,V2,V8), P_multiplication-{F}(V3,V7,V9), P_addition-{F}(V10,V7,V11), P_multiplication-{F}(V2,V11,V12), P_multiplication-{F}(V2,V10,V13), P_addition-{F}(V12,V9,V14), P_addition-{F}(V8,V15,V13), P_multiplication-{F}(V16,V2,V15), pppp3-{F}(V2,V7,V17,V16), P_multiplication-{F}(V3,V16,V18), P_addition-{F}(V14,V18,V19) | FALSE
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #1027: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V13 == V14; #1016 ), references = 1, size of lhs = 17:
% 58.67/58.90 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_addition-{F}(V3,V2,V4), V4 == V1, P_multiplication-{F}(V5,V2,V6), P_multiplication-{F}(V3,V5,V7), P_multiplication-{F}(V8,V2,V6), P_multiplication-{F}(V2,V9,V10), P_addition-{F}(V9,V5,V11), P_multiplication-{F}(V2,V11,V12), P_addition-{F}(V12,V7,V13), P_multiplication-{F}(V14,V2,V10), P_addition-{F}(V15,V8,V14), pppp3-{F}(V2,V5,V16,V15), P_multiplication-{F}(V3,V15,V17), P_addition-{F}(V13,V17,V18) | FALSE
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #1037: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V13 == V14; #1017 ), references = 1, size of lhs = 19:
% 58.67/58.90 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4), P_multiplication-{F}(V2,V3,V5), P_addition-{F}(V3,V2,V6), V6 == V1, P_multiplication-{F}(V7,V2,V8), P_multiplication-{F}(V3,V7,V9), P_multiplication-{F}(V10,V2,V8), P_multiplication-{F}(V2,V11,V12), P_addition-{F}(V11,V7,V13), P_multiplication-{F}(V2,V13,V14), P_addition-{F}(V14,V9,V15), P_multiplication-{F}(V16,V2,V12), P_addition-{F}(V17,V10,V16), pppp3-{F}(V2,V7,V18,V17), P_multiplication-{F}(V3,V17,V19), P_addition-{F}(V15,V19,V20) | FALSE
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #1049: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V13 == V14; #1038 ), references = 1, size of lhs = 15:
% 58.67/58.90 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_addition-{F}(V3,V2,V4), V4 == V1, P_multiplication-{F}(V3,V5,V6), P_multiplication-{F}(V2,V7,V8), P_addition-{F}(V7,V5,V9), P_multiplication-{F}(V2,V9,V10), P_addition-{F}(V10,V6,V11), P_multiplication-{F}(V12,V2,V8), P_addition-{F}(V13,V5,V12), pppp3-{F}(V2,V5,V14,V13), P_multiplication-{F}(V3,V13,V15), P_addition-{F}(V11,V15,V16) | FALSE
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #1059: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V13 == V14; #1039 ), references = 1, size of lhs = 17:
% 58.67/58.90 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4), P_multiplication-{F}(V2,V3,V5), P_addition-{F}(V3,V2,V6), V6 == V1, P_multiplication-{F}(V3,V7,V8), P_multiplication-{F}(V2,V9,V10), P_addition-{F}(V9,V7,V11), P_multiplication-{F}(V2,V11,V12), P_addition-{F}(V12,V8,V13), P_multiplication-{F}(V14,V2,V10), P_addition-{F}(V15,V7,V14), pppp3-{F}(V2,V7,V16,V15), P_multiplication-{F}(V3,V15,V17), P_addition-{F}(V13,V17,V18) | FALSE
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #1138: mergings( V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V33, V33 == V34, V34 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V47, V47 == V49, V49 == V51, V51 == V54, V54 == V62, V62 == V64, V64 == V66, V66 == V68, V68 == V70, V6 == V8, V8 == V10, V10 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V35, V35 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V45, V45 == V46, V46 == V48, V48 == V50, V50 == V52, V52 == V53, V53 == V55, V55 == V63, V63 == V65, V65 == V67, V67 == V69, V69 == V71, V21 == V72, V61 == V73; #1075 ), references = 1, size of lhs = 35:
% 58.67/58.90 test-{F}(V0), P_zero-{F}(V0), test-{F}(V1), P_multiplication-{F}(V0,V1,V0), P_c-{F}(V1,V2), test-{F}(V2), P_c-{F}(V2,V1), P_multiplication-{F}(V0,V2,V0), P_addition-{F}(V2,V1,V3), P_addition-{F}(V1,V3,V3), P_addition-{F}(V2,V3,V3), P_addition-{F}(V3,V2,V3), P_addition-{F}(V1,V2,V3), P_one-{F}(V3), pppp4-{F}(V2,V4), P_addition-{F}(V2,V5,V3), P_addition-{F}(V0,V0,V6), P_c-{F}(V6,V4), P_multiplication-{F}(V1,V3,V7), P_multiplication-{F}(V7,V2,V0), P_c-{F}(V0,V8), P_addition-{F}(V3,V8,V9), P_multiplication-{F}(V2,V9,V10), P_multiplication-{F}(V10,V5,V0), P_multiplication-{F}(V1,V8,V11), P_multiplication-{F}(V11,V2,V0), P_multiplication-{F}(V2,V8,V12), P_multiplication-{F}(V12,V5,V0), P_multiplication-{F}(V13,V5,V0), P_multiplication-{F}(V14,V0,V13), P_multiplication-{F}(V14,V15,V0), P_multiplication-{F}(V14,V16,V12), P_addition-{F}(V15,V17,V18), P_addition-{F}(V18,V19,V16), P_addition-{F}(V17,V19,V20) | pppp3-{T}(V0,V2,V4,V1), pppp3-{T}(V3,V2,V4,V1)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #1200: mergings( V4 == V5, V5 == V7, V7 == V11, V11 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V34, V34 == V35, V35 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V48, V48 == V50, V50 == V52, V52 == V62, V62 == V64, V64 == V66, V66 == V68, V68 == V70, V6 == V8, V8 == V9, V9 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V36, V36 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V46, V46 == V47, V47 == V49, V49 == V51, V51 == V53, V53 == V54, V54 == V55, V55 == V63, V63 == V65, V65 == V67, V67 == V69, V69 == V71, V22 == V72, V61 == V73; #1076 ), references = 1, size of lhs = 35:
% 58.67/58.90 test-{F}(V0), P_zero-{F}(V0), test-{F}(V1), P_multiplication-{F}(V0,V1,V0), P_c-{F}(V1,V2), test-{F}(V2), P_c-{F}(V2,V1), P_multiplication-{F}(V0,V2,V0), P_addition-{F}(V2,V1,V3), P_addition-{F}(V1,V3,V3), P_addition-{F}(V2,V3,V3), P_addition-{F}(V3,V2,V3), P_addition-{F}(V1,V2,V3), P_one-{F}(V3), pppp4-{F}(V2,V4), P_addition-{F}(V2,V5,V3), P_addition-{F}(V0,V0,V6), P_c-{F}(V6,V4), P_multiplication-{F}(V1,V3,V7), P_multiplication-{F}(V7,V2,V0), P_c-{F}(V0,V8), P_addition-{F}(V3,V8,V9), P_multiplication-{F}(V2,V9,V10), P_multiplication-{F}(V10,V5,V0), P_multiplication-{F}(V1,V8,V11), P_multiplication-{F}(V11,V2,V0), P_multiplication-{F}(V2,V8,V12), P_multiplication-{F}(V12,V5,V0), P_multiplication-{F}(V13,V5,V0), P_multiplication-{F}(V14,V0,V13), P_multiplication-{F}(V14,V15,V0), P_multiplication-{F}(V14,V16,V12), P_addition-{F}(V15,V17,V18), P_addition-{F}(V18,V19,V16), P_addition-{F}(V17,V19,V20) | pppp3-{T}(V0,V2,V4,V1), pppp3-{T}(V3,V2,V4,V1)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #1267: mergings( V0 == V1, V1 == V3, V3 == V5, V5 == V7, V7 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V29, V29 == V30, V30 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V43, V43 == V45, V45 == V47, V47 == V53, V53 == V61, V61 == V63, V63 == V65, V65 == V67, V67 == V69, V69 == V85, V2 == V4, V4 == V6, V6 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V31, V31 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V41, V41 == V42, V42 == V44, V44 == V46, V46 == V48, V48 == V49, V49 == V54, V54 == V62, V62 == V64, V64 == V66, V66 == V68, V68 == V70, V17 == V71, V60 == V72, V71 == V87; #1201 ), references = 4, size of lhs = 43:
% 58.67/58.90 test-{F}(V0), P_zero-{F}(V0), test-{F}(V1), P_multiplication-{F}(V0,V1,V0), P_c-{F}(V1,V2), test-{F}(V2), P_c-{F}(V2,V1), P_multiplication-{F}(V0,V2,V0), P_addition-{F}(V2,V1,V3), P_addition-{F}(V1,V3,V3), P_addition-{F}(V2,V3,V3), P_addition-{F}(V3,V2,V3), P_addition-{F}(V1,V2,V3), P_one-{F}(V3), pppp4-{F}(V2,V4), P_addition-{F}(V2,V5,V3), P_addition-{F}(V0,V0,V6), P_c-{F}(V6,V4), P_multiplication-{F}(V1,V3,V7), P_multiplication-{F}(V7,V2,V0), P_multiplication-{F}(V2,V0,V8), P_multiplication-{F}(V1,V0,V9), P_addition-{F}(V8,V9,V10), P_addition-{F}(V10,V0,V11), P_c-{F}(V0,V12), P_addition-{F}(V3,V12,V13), P_multiplication-{F}(V2,V13,V14), P_multiplication-{F}(V14,V5,V0), P_multiplication-{F}(V1,V12,V15), P_multiplication-{F}(V15,V2,V0), P_multiplication-{F}(V2,V12,V16), P_multiplication-{F}(V16,V5,V0), P_multiplication-{F}(V12,V2,V17), P_addition-{F}(V11,V17,V18), P_multiplication-{F}(V12,V1,V19), P_addition-{F}(V18,V19,V4), P_multiplication-{F}(V20,V5,V0), P_multiplication-{F}(V21,V0,V20), P_multiplication-{F}(V21,V22,V0), P_multiplication-{F}(V21,V23,V16), P_addition-{F}(V22,V24,V25), P_addition-{F}(V25,V26,V23), P_addition-{F}(V24,V26,V27) | pppp3-{T}(V3,V2,V4,V1)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #1333: mergings( V0 == V1, V1 == V3, V3 == V5, V5 == V7, V7 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V29, V29 == V30, V30 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V43, V43 == V45, V45 == V47, V47 == V53, V53 == V61, V61 == V63, V63 == V65, V65 == V67, V67 == V69, V69 == V82, V82 == V96, V2 == V4, V4 == V6, V6 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V31, V31 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V41, V41 == V42, V42 == V44, V44 == V46, V46 == V48, V48 == V49, V49 == V54, V54 == V62, V62 == V64, V64 == V66, V66 == V68, V68 == V70, V70 == V83, V17 == V71, V60 == V72, V71 == V84; #1202 ), references = 1, size of lhs = 51:
% 58.67/58.90 test-{F}(V0), P_zero-{F}(V0), test-{F}(V1), P_multiplication-{F}(V0,V1,V0), P_c-{F}(V1,V2), test-{F}(V2), P_c-{F}(V2,V1), P_multiplication-{F}(V0,V2,V0), P_addition-{F}(V2,V1,V3), P_addition-{F}(V1,V3,V3), P_addition-{F}(V2,V3,V3), P_addition-{F}(V3,V2,V3), P_addition-{F}(V1,V2,V3), P_one-{F}(V3), pppp4-{F}(V2,V4), P_addition-{F}(V2,V5,V3), P_addition-{F}(V0,V0,V6), P_c-{F}(V6,V4), P_multiplication-{F}(V1,V3,V7), P_multiplication-{F}(V7,V2,V0), P_c-{F}(V0,V8), P_addition-{F}(V3,V8,V9), P_multiplication-{F}(V2,V9,V10), P_multiplication-{F}(V10,V5,V0), P_multiplication-{F}(V1,V8,V11), P_multiplication-{F}(V11,V2,V0), P_multiplication-{F}(V2,V8,V12), P_multiplication-{F}(V12,V5,V0), P_addition-{F}(V8,V13,V3), P_multiplication-{F}(V2,V0,V14), P_multiplication-{F}(V1,V0,V15), P_addition-{F}(V14,V15,V16), P_addition-{F}(V16,V0,V17), P_multiplication-{F}(V8,V17,V0), P_multiplication-{F}(V8,V1,V18), P_addition-{F}(V2,V18,V4), P_multiplication-{F}(V19,V5,V0), P_multiplication-{F}(V20,V0,V19), P_multiplication-{F}(V20,V21,V0), P_multiplication-{F}(V20,V22,V12), P_multiplication-{F}(V13,V23,V0), P_multiplication-{F}(V13,V24,V0), P_addition-{F}(V21,V25,V26), P_addition-{F}(V26,V27,V22), P_addition-{F}(V25,V27,V28), P_multiplication-{F}(V29,V30,V23), P_multiplication-{F}(V31,V30,V24), P_addition-{F}(V29,V32,V31), P_multiplication-{F}(V32,V33,V17), P_addition-{F}(V33,V30,V34), P_multiplication-{F}(V32,V34,V2) | pppp3-{T}(V3,V2,V4,V1)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #1398: mergings( V0 == V1, V1 == V3, V3 == V5, V5 == V7, V7 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V29, V29 == V30, V30 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V43, V43 == V45, V45 == V47, V47 == V53, V53 == V61, V61 == V63, V63 == V65, V65 == V67, V67 == V69, V69 == V82, V2 == V4, V4 == V6, V6 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V31, V31 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V41, V41 == V42, V42 == V44, V44 == V46, V46 == V48, V48 == V49, V49 == V54, V54 == V62, V62 == V64, V64 == V66, V66 == V68, V68 == V70, V70 == V83, V17 == V71, V60 == V72, V71 == V90; #1203 ), references = 1, size of lhs = 53:
% 58.67/58.90 test-{F}(V0), P_zero-{F}(V0), test-{F}(V1), P_multiplication-{F}(V0,V1,V0), P_c-{F}(V1,V2), test-{F}(V2), P_c-{F}(V2,V1), P_multiplication-{F}(V0,V2,V0), P_addition-{F}(V2,V1,V3), P_addition-{F}(V1,V3,V3), P_addition-{F}(V2,V3,V3), P_addition-{F}(V3,V2,V3), P_addition-{F}(V1,V2,V3), P_one-{F}(V3), pppp4-{F}(V2,V4), P_addition-{F}(V2,V5,V3), P_addition-{F}(V0,V0,V6), P_c-{F}(V6,V4), P_multiplication-{F}(V1,V3,V7), P_multiplication-{F}(V7,V2,V0), P_addition-{F}(V2,V8,V3), P_c-{F}(V0,V9), P_addition-{F}(V3,V9,V10), P_multiplication-{F}(V2,V10,V11), P_multiplication-{F}(V11,V5,V0), P_multiplication-{F}(V1,V9,V12), P_multiplication-{F}(V12,V2,V0), P_multiplication-{F}(V2,V9,V13), P_multiplication-{F}(V13,V5,V0), P_multiplication-{F}(V9,V2,V14), P_multiplication-{F}(V15,V0,V0), P_addition-{F}(V2,V15,V16), P_multiplication-{F}(V16,V0,V17), P_addition-{F}(V17,V14,V18), P_multiplication-{F}(V1,V0,V19), P_multiplication-{F}(V19,V2,V0), P_multiplication-{F}(V20,V0,V19), P_addition-{F}(V2,V20,V21), P_multiplication-{F}(V21,V0,V0), P_multiplication-{F}(V9,V1,V22), P_addition-{F}(V18,V22,V4), P_multiplication-{F}(V23,V5,V0), P_multiplication-{F}(V24,V0,V23), P_multiplication-{F}(V24,V25,V0), P_multiplication-{F}(V24,V26,V13), P_multiplication-{F}(V27,V8,V0), P_multiplication-{F}(V2,V28,V27), P_addition-{F}(V0,V28,V29), P_multiplication-{F}(V2,V29,V30), P_multiplication-{F}(V30,V8,V0), P_addition-{F}(V25,V31,V32), P_addition-{F}(V32,V33,V26), P_addition-{F}(V31,V33,V34) | pppp3-{T}(V3,V2,V4,V1)
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #1518: mergings( V17 == V26, V2 == V4, V4 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V18, V18 == V20, V20 == V22, V22 == V24, V0 == V36, V24 == V31, V3 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V26, V26 == V19, V19 == V21, V21 == V23, V23 == V32; #1491 ), references = 1, size of lhs = 28:
% 58.67/58.90 test-{F}(V0), P_c-{F}(V0,V1), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), test-{F}(V2), P_zero-{F}(V2), P_c-{F}(V1,V2), P_c-{F}(V2,V1), P_addition-{F}(V2,V2,V3), P_c-{F}(V3,V1), P_multiplication-{F}(V4,V2,V2), P_multiplication-{F}(V4,V5,V2), P_addition-{F}(V1,V2,V6), P_addition-{F}(V6,V2,V1), P_c-{F}(V7,V1), P_multiplication-{F}(V8,V1,V8), P_multiplication-{F}(V8,V0,V7), P_multiplication-{F}(V2,V8,V2), pppp4-{F}(V8,V1), P_multiplication-{F}(V1,V8,V8), P_multiplication-{F}(V8,V2,V9), P_addition-{F}(V9,V2,V10), P_addition-{F}(V10,V2,V11), P_addition-{F}(V11,V8,V8), P_multiplication-{F}(V4,V12,V8), P_addition-{F}(V5,V13,V14), P_addition-{F}(V14,V15,V12), P_addition-{F}(V13,V15,V16) | FALSE
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #1543: mergings( V17 == V26, V2 == V4, V4 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V18, V18 == V20, V20 == V22, V22 == V24, V26 == V27, V24 == V32, V3 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V27, V27 == V19, V19 == V21, V21 == V23, V23 == V33; #1492 ), references = 1, size of lhs = 32:
% 58.67/58.90 test-{F}(V0), P_c-{F}(V0,V1), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), P_multiplication-{F}(V1,V1,V1), test-{F}(V2), P_zero-{F}(V2), P_c-{F}(V1,V2), P_c-{F}(V2,V1), P_addition-{F}(V2,V2,V3), P_c-{F}(V3,V1), P_multiplication-{F}(V4,V2,V2), P_multiplication-{F}(V4,V5,V2), P_addition-{F}(V1,V2,V6), P_addition-{F}(V6,V2,V1), P_c-{F}(V7,V1), P_multiplication-{F}(V8,V1,V8), P_multiplication-{F}(V8,V0,V7), P_multiplication-{F}(V2,V8,V2), pppp4-{F}(V8,V1), P_multiplication-{F}(V8,V2,V9), P_addition-{F}(V9,V2,V10), P_addition-{F}(V10,V2,V11), P_multiplication-{F}(V1,V8,V12), P_addition-{F}(V11,V12,V8), P_multiplication-{F}(V8,V13,V8), P_addition-{F}(V1,V13,V14), P_multiplication-{F}(V8,V14,V8), P_multiplication-{F}(V4,V15,V8), P_addition-{F}(V5,V16,V17), P_addition-{F}(V17,V18,V15), P_addition-{F}(V16,V18,V19) | FALSE
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #1570: mergings( V17 == V28, V2 == V4, V4 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V28 == V29, V26 == V34, V3 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V29, V29 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V35; #1493 ), references = 1, size of lhs = 33:
% 58.67/58.90 test-{F}(V0), P_c-{F}(V0,V1), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), P_multiplication-{F}(V1,V1,V1), test-{F}(V2), P_zero-{F}(V2), P_c-{F}(V1,V2), P_c-{F}(V2,V1), P_addition-{F}(V2,V2,V3), P_c-{F}(V3,V1), P_multiplication-{F}(V4,V2,V2), P_multiplication-{F}(V4,V5,V2), P_addition-{F}(V1,V2,V6), P_addition-{F}(V6,V2,V1), P_c-{F}(V7,V1), P_multiplication-{F}(V8,V1,V8), P_multiplication-{F}(V8,V0,V7), P_multiplication-{F}(V2,V8,V2), P_addition-{F}(V8,V8,V8), pppp4-{F}(V8,V1), P_multiplication-{F}(V8,V2,V9), P_addition-{F}(V9,V2,V10), P_addition-{F}(V10,V2,V11), P_multiplication-{F}(V1,V8,V12), P_addition-{F}(V11,V12,V8), P_multiplication-{F}(V8,V13,V8), P_addition-{F}(V1,V13,V14), P_multiplication-{F}(V8,V14,V8), P_multiplication-{F}(V4,V15,V8), P_addition-{F}(V5,V16,V17), P_addition-{F}(V17,V18,V15), P_addition-{F}(V16,V18,V19) | FALSE
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #1620: mergings( V29 == V31, V0 == V3, V3 == V4, V4 == V5, V5 == V8, V8 == V10, V10 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V6 == V7, V7 == V9, V9 == V12, V12 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V1, V1 == V23, V23 == V25, V25 == V27; #1590 ), references = 1, size of lhs = 14:
% 58.67/58.90 P_one-{F}(V0), P_addition-{F}(V0,V0,V0), test-{F}(V1), P_zero-{F}(V1), P_c-{F}(V0,V1), P_c-{F}(V1,V0), P_addition-{F}(V0,V1,V2), P_addition-{F}(V2,V1,V0), P_addition-{F}(V1,V1,V3), P_c-{F}(V3,V0), P_addition-{F}(V3,V1,V1), P_addition-{F}(V1,V4,V5), P_addition-{F}(V5,V6,V0), P_addition-{F}(V4,V6,V7) | FALSE
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #1649: mergings( V29 == V32, V0 == V3, V3 == V4, V4 == V5, V5 == V8, V8 == V10, V10 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V1 == V30, V6 == V7, V7 == V9, V9 == V12, V12 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V30, V30 == V23, V23 == V25, V25 == V27; #1591 ), references = 1, size of lhs = 15:
% 58.67/58.90 P_one-{F}(V0), P_addition-{F}(V0,V0,V0), P_multiplication-{F}(V0,V0,V0), test-{F}(V1), P_zero-{F}(V1), P_c-{F}(V0,V1), P_c-{F}(V1,V0), P_addition-{F}(V0,V1,V2), P_addition-{F}(V2,V1,V0), P_addition-{F}(V1,V1,V3), P_c-{F}(V3,V0), P_addition-{F}(V3,V1,V1), P_addition-{F}(V1,V4,V5), P_addition-{F}(V5,V6,V0), P_addition-{F}(V4,V6,V7) | FALSE
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #1681: mergings( V32 == V35, V0 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V9, V9 == V11, V11 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V1 == V33, V7 == V8, V8 == V10, V10 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V33, V33 == V24, V24 == V26, V26 == V28, V28 == V30; #1592 ), references = 1, size of lhs = 15:
% 58.67/58.90 P_one-{F}(V0), P_addition-{F}(V0,V0,V0), P_multiplication-{F}(V0,V0,V0), test-{F}(V1), P_zero-{F}(V1), P_c-{F}(V0,V1), P_c-{F}(V1,V0), P_addition-{F}(V0,V1,V2), P_addition-{F}(V2,V1,V0), P_addition-{F}(V1,V1,V3), P_c-{F}(V3,V0), P_addition-{F}(V3,V1,V1), P_addition-{F}(V1,V4,V5), P_addition-{F}(V5,V6,V0), P_addition-{F}(V4,V6,V7) | FALSE
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #1758: mergings( V8 == V27, V27 == V14, V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26; #1729 ), references = 1, size of lhs = 2:
% 58.67/58.90 P_zero-{F}(V0), P_addition-{F}(V0,V0,V0) | FALSE
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 #1765: exists( #35, #1759 ), references = 1, size of lhs = 0:
% 58.67/58.90 FALSE | FALSE
% 58.67/58.90 (used 0 times, uses = {})
% 58.67/58.90
% 58.67/58.90 number of learnt formulas = 71
% 58.67/58.90
% 58.67/58.90
% 58.67/58.90 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 58.67/58.90
% 58.67/58.90 randbase = 1
%------------------------------------------------------------------------------