TSTP Solution File: KLE071+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE071+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 06:07:04 EDT 2022
% Result : Theorem 58.43s 58.64s
% Output : Refutation 58.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : KLE071+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n007.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 16:33:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 58.43/58.64 GeoParameters:
% 58.43/58.64
% 58.43/58.64 tptp_input = 1
% 58.43/58.64 tptp_output = 0
% 58.43/58.64 nonempty = 1
% 58.43/58.64 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 58.43/58.64 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 58.43/58.64
% 58.43/58.64
% 58.43/58.64 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 58.43/58.64 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 58.43/58.64
% 58.43/58.64 RuleSystem INPUT:
% 58.43/58.64
% 58.43/58.64 Initial Rules:
% 58.43/58.64 #0: input, references = 6, size of lhs = 3:
% 58.43/58.64 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #1: input, references = 4, size of lhs = 5:
% 58.43/58.64 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
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #2: input, references = 3, size of lhs = 3:
% 58.43/58.64 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #3: input, references = 4, size of lhs = 3:
% 58.43/58.64 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #4: input, references = 5, size of lhs = 6:
% 58.43/58.64 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
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #5: input, references = 4, size of lhs = 4:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #6: input, references = 4, size of lhs = 4:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #7: input, references = 8, size of lhs = 8:
% 58.43/58.64 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
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #8: input, references = 8, size of lhs = 8:
% 58.43/58.64 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
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #9: input, references = 4, size of lhs = 4:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #10: input, references = 4, size of lhs = 4:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #11: input, references = 3, size of lhs = 5:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #12: input, references = 3, size of lhs = 3:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #13: input, references = 6, size of lhs = 6:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4), P_addition-{F}(V2,V4,V5), V5 == V4 | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #14: input, references = 4, size of lhs = 8:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_domain-{F}(V4,V5), P_domain-{F}(V3,V6), P_multiplication-{F}(V2,V6,V7), P_domain-{F}(V7,V8), V5 == V8 | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #15: input, references = 4, size of lhs = 5:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_addition-{F}(V3,V1,V4), V4 == V1 | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #16: input, references = 4, size of lhs = 4:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), V2 == V0 | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #17: input, references = 5, size of lhs = 9:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_addition-{F}(V3,V4,V5), P_domain-{F}(V5,V6), P_domain-{F}(V3,V7), P_domain-{F}(V4,V8), P_addition-{F}(V7,V8,V9), V6 == V9 | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #18: input, references = 4, size of lhs = 3:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2) | EXISTS V3: pppp2-{T}(V3)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #19: input, references = 5, size of lhs = 1:
% 58.43/58.64 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #20: input, references = 9, size of lhs = 1:
% 58.43/58.64 pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V0,V1,V2)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #21: input, references = 14, size of lhs = 9:
% 58.43/58.64 pppp0-{F}(V0,V1,V2), P_domain-{F}(V0,V3), P_domain-{F}(V1,V4), P_domain-{F}(V2,V5), P_multiplication-{F}(V4,V5,V6), P_addition-{F}(V3,V6,V10), P_addition-{F}(V3,V4,V8), P_addition-{F}(V3,V5,V9), P_multiplication-{F}(V8,V9,V10) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #22: input, references = 19, size of lhs = 2:
% 58.43/58.64 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #23: input, references = 4, size of lhs = 0:
% 58.43/58.64 FALSE | EXISTS V0: P_zero-{T}(V0)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #24: input, references = 24, size of lhs = 2:
% 58.43/58.64 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #25: input, references = 4, size of lhs = 0:
% 58.43/58.64 FALSE | EXISTS V0: P_one-{T}(V0)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #26: input, references = 26, size of lhs = 1:
% 58.43/58.64 #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 number of initial rules = 27
% 58.43/58.64
% 58.43/58.64 Simplifiers:
% 58.43/58.64 #27: unsound, references = 3, size of lhs = 3:
% 58.43/58.64 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #28: unsound, references = 3, size of lhs = 3:
% 58.43/58.64 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #29: unsound, references = 3, size of lhs = 3:
% 58.43/58.64 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #30: unsound, references = 3, size of lhs = 3:
% 58.43/58.64 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #31: unsound, references = 3, size of lhs = 3:
% 58.43/58.64 P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #32: unsound, references = 3, size of lhs = 3:
% 58.43/58.64 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #33: unsound, references = 3, size of lhs = 3:
% 58.43/58.64 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V4,V5), V1 == V4 | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #34: unsound, references = 3, size of lhs = 3:
% 58.43/58.64 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V0 == V3 | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #35: unsound, references = 3, size of lhs = 3:
% 58.43/58.64 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #36: unsound, references = 3, size of lhs = 3:
% 58.43/58.64 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #37: unsound, references = 3, size of lhs = 3:
% 58.43/58.64 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 number of simplifiers = 11
% 58.43/58.64
% 58.43/58.64 Learnt:
% 58.43/58.64 #39: exists( #22, #3 ), references = 7, size of lhs = 2:
% 58.43/58.64 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #42: exists( #24, #5 ), references = 11, size of lhs = 3:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #43: exists( #24, #6 ), references = 21, size of lhs = 3:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #45: exists( #22, #13 ), references = 5, size of lhs = 4:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4) | P_addition-{T}(V2,V4,V4)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #48: exists( #26, #16 ), references = 1, size of lhs = 2:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1) | P_domain-{T}(V0,V0)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #53: exists( #22, #15 ), references = 15, size of lhs = 3:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3) | P_addition-{T}(V3,V1,V1)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #54: exists( #22, #0 ), references = 32, size of lhs = 1:
% 58.43/58.64 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #62: mergings( V2 == V3, V3 == V4, V0 == V5; #58 ), references = 1, size of lhs = 2:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1) | P_domain-{T}(V1,V1)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #64: exists( #24, #10 ), references = 11, size of lhs = 3:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #66: exists( #22, #8 ), references = 15, size of lhs = 6:
% 58.43/58.64 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)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #75: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #70 ), references = 1, size of lhs = 6:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), P_domain-{F}(V2,V0), P_domain-{F}(V3,V1), pppp0-{F}(V2,V3,V4) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #81: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #76 ), references = 1, size of lhs = 6:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), P_domain-{F}(V2,V0), pppp1-{F}(V2,V3), P_domain-{F}(V3,V1) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #83: exists( #26, #14 ), references = 7, size of lhs = 6:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V4,V2,V5), P_domain-{F}(V5,V6), P_multiplication-{F}(V4,V3,V7) | P_domain-{T}(V7,V6)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #85: exists( #26, #17 ), references = 2, size of lhs = 7:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V4), P_addition-{F}(V3,V5,V6), P_domain-{F}(V5,V7), P_addition-{F}(V4,V7,V8) | P_domain-{T}(V6,V8)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #88: exists( #24, #9 ), references = 1, size of lhs = 3:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #89: exists( #24, #4 ), references = 2, size of lhs = 4:
% 58.43/58.64 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)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #101: mergings( V2 == V4, V4 == V6, V6 == V8, V3 == V5, V5 == V7, V7 == V9; #94 ), references = 1, size of lhs = 6:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), P_domain-{F}(V2,V0), P_domain-{F}(V3,V1), pppp0-{F}(V2,V4,V3) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #104: exists( #22, #7 ), references = 7, size of lhs = 6:
% 58.43/58.64 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)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #106: exists( #24, #4 ), references = 6, size of lhs = 4:
% 58.43/58.64 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)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #121: mergings( V3 == V4, V4 == V6, V5 == V7; #115 ), references = 2, size of lhs = 8:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V3), P_domain-{F}(V3,V4), P_addition-{F}(V2,V4,V5), P_multiplication-{F}(V5,V3,V6), P_multiplication-{F}(V7,V3,V8), P_multiplication-{F}(V9,V7,V4) | P_multiplication-{T}(V9,V8,V6)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #125: mergings( V3 == V4, V4 == V6, V5 == V7; #116 ), references = 6, size of lhs = 8:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V4,V2,V5), P_multiplication-{F}(V6,V4,V3), P_multiplication-{F}(V6,V7,V2), P_addition-{F}(V5,V7,V8), P_multiplication-{F}(V6,V8,V9) | P_multiplication-{T}(V6,V5,V9)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #129: mergings( V3 == V4, V4 == V6, V5 == V7; #117 ), references = 1, size of lhs = 8:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V4,V2,V5), P_multiplication-{F}(V6,V4,V3), P_multiplication-{F}(V6,V7,V2), P_addition-{F}(V7,V5,V8), P_multiplication-{F}(V6,V8,V9) | P_multiplication-{T}(V6,V5,V9)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #153: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #142 ), references = 1, size of lhs = 6:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), P_domain-{F}(V2,V0), pppp0-{F}(V2,V3,V3), P_multiplication-{F}(V1,V3,V3) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #165: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #160 ), references = 2, size of lhs = 9:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), P_domain-{F}(V2,V0), P_addition-{F}(V0,V3,V3), P_domain-{F}(V4,V3), pppp0-{F}(V2,V4,V5), P_domain-{F}(V5,V6), P_addition-{F}(V0,V6,V6) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #175: mergings( V2 == V5, V5 == V7, V3 == V4, V4 == V6, V6 == V8; #169 ), references = 2, size of lhs = 7:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), P_domain-{F}(V2,V0), P_addition-{F}(V0,V3,V3), P_domain-{F}(V4,V3), pppp0-{F}(V2,V4,V5) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #185: mergings( V2 == V5, V5 == V7, V3 == V4, V4 == V6, V6 == V8; #179 ), references = 1, size of lhs = 5:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), P_domain-{F}(V2,V0), pppp0-{F}(V2,V3,V4) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #192: mergings( V3 == V6, V6 == V8, V4 == V5, V5 == V7, V7 == V9; #186 ), references = 1, size of lhs = 5:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), P_domain-{F}(V2,V0), pppp1-{F}(V2,V3) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #199: mergings( V2 == V5, V5 == V7, V3 == V4, V4 == V6, V6 == V8; #193 ), references = 1, size of lhs = 5:
% 58.43/58.64 pppp2-{F}(V0), P_zero-{F}(V1), P_domain-{F}(V0,V1), P_one-{F}(V2), P_addition-{F}(V1,V2,V2) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #208: mergings( V2 == V4, V3 == V5; #205 ), references = 1, size of lhs = 7:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V1), P_addition-{F}(V1,V1,V3), P_multiplication-{F}(V3,V1,V1), P_domain-{F}(V4,V1), pppp0-{F}(V2,V4,V5) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #212: mergings( V3 == V5, V4 == V6; #209 ), references = 1, size of lhs = 7:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V1), pppp1-{F}(V2,V3), P_domain-{F}(V3,V1), P_addition-{F}(V1,V1,V4), P_multiplication-{F}(V4,V1,V1) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #214: exists( #22, #17 ), references = 2, size of lhs = 7:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V4), P_addition-{F}(V3,V5,V6), P_domain-{F}(V6,V7), P_domain-{F}(V5,V8) | P_addition-{T}(V4,V8,V7)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #219: exists( #22, #217 ), references = 1, size of lhs = 8:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_addition-{F}(V3,V4,V1), P_domain-{F}(V5,V4), pppp0-{F}(V2,V5,V6), P_domain-{F}(V6,V7), P_multiplication-{F}(V4,V7,V7) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #224: mergings( V2 == V4, V3 == V5; #221 ), references = 1, size of lhs = 6:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V1), P_addition-{F}(V3,V1,V1), P_domain-{F}(V4,V3), pppp0-{F}(V4,V2,V5) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #228: mergings( V3 == V5, V4 == V6; #225 ), references = 1, size of lhs = 6:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V1), pppp1-{F}(V3,V2), P_domain-{F}(V3,V4), P_addition-{F}(V4,V1,V1) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #233: mergings( V2 == V3, V3 == V4; #230 ), references = 1, size of lhs = 4:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V1), pppp1-{F}(V3,V2) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #238: mergings( V3 == V5, V4 == V6; #235 ), references = 3, size of lhs = 7:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V2), P_addition-{F}(V2,V4,V5), P_multiplication-{F}(V5,V6,V7), P_multiplication-{F}(V4,V6,V8), P_multiplication-{F}(V3,V6,V8) | P_multiplication-{T}(V2,V6,V7)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #243: exists( #24, #241 ), references = 2, size of lhs = 12:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), pppp0-{F}(V2,V4,V5), P_domain-{F}(V4,V6), P_multiplication-{F}(V6,V7,V3), P_domain-{F}(V5,V8), P_addition-{F}(V8,V7,V9), P_multiplication-{F}(V6,V9,V10), P_addition-{F}(V3,V6,V11), P_addition-{F}(V3,V8,V12), P_multiplication-{F}(V11,V12,V10) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #251: exists( #22, #1 ), references = 17, size of lhs = 3:
% 58.43/58.64 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V0,V4), P_addition-{F}(V4,V1,V5) | P_addition-{T}(V3,V2,V5)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #253: exists( #24, #243 ), references = 1, size of lhs = 10:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_addition-{F}(V3,V4,V4), P_domain-{F}(V5,V4), pppp0-{F}(V2,V5,V6), P_multiplication-{F}(V4,V7,V3), P_domain-{F}(V6,V8), P_addition-{F}(V8,V7,V9), P_addition-{F}(V3,V8,V9) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #256: exists( #22, #254 ), references = 1, size of lhs = 8:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_addition-{F}(V3,V4,V4), P_multiplication-{F}(V4,V3,V3), P_domain-{F}(V5,V4), pppp0-{F}(V2,V5,V6), P_domain-{F}(V6,V7) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #258: exists( #26, #255 ), references = 1, size of lhs = 7:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_addition-{F}(V3,V4,V4), P_multiplication-{F}(V4,V3,V3), P_domain-{F}(V5,V4), pppp0-{F}(V2,V5,V6) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #260: exists( #20, #257 ), references = 2, size of lhs = 7:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_domain-{F}(V2,V4), P_domain-{F}(V3,V5), P_addition-{F}(V4,V5,V5), P_multiplication-{F}(V5,V4,V4) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #279: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V6 == V8, V8 == V10, V10 == V12; #269 ), references = 1, size of lhs = 4:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_multiplication-{F}(V1,V2,V2) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #285: exists( #22, #283 ), references = 2, size of lhs = 8:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_addition-{F}(V3,V4,V1), P_domain-{F}(V5,V4), pppp0-{F}(V2,V6,V5), P_domain-{F}(V6,V7), P_multiplication-{F}(V7,V4,V7) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #290: mergings( V2 == V4, V3 == V5; #287 ), references = 1, size of lhs = 6:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V1,V1), P_domain-{F}(V3,V2), P_domain-{F}(V4,V1), pppp0-{F}(V3,V5,V4) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #305: mergings( V3 == V4, V4 == V6, V6 == V9, V5 == V7, V7 == V10; #299 ), references = 1, size of lhs = 12:
% 58.43/58.64 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V3), P_addition-{F}(V2,V3,V4), P_domain-{F}(V5,V3), P_domain-{F}(V6,V6), P_addition-{F}(V4,V6,V2), P_multiplication-{F}(V6,V6,V6), P_domain-{F}(V7,V6), pppp0-{F}(V5,V7,V8), P_domain-{F}(V8,V6) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #325: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V15, V6 == V8, V8 == V11, V11 == V13, V13 == V16; #312 ), references = 1, size of lhs = 8:
% 58.43/58.64 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V3), P_addition-{F}(V2,V3,V2), P_domain-{F}(V4,V3), pppp0-{F}(V4,V5,V5), P_multiplication-{F}(V2,V5,V5) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #345: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V13, V4 == V6, V6 == V9, V9 == V12, V12 == V14; #334 ), references = 2, size of lhs = 10:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), P_domain-{F}(V2,V0), P_domain-{F}(V3,V4), P_multiplication-{F}(V5,V4,V6), P_multiplication-{F}(V7,V5,V8), P_multiplication-{F}(V9,V3,V10), P_multiplication-{F}(V11,V9,V8), P_multiplication-{F}(V11,V10,V2) | P_multiplication-{T}(V7,V6,V0)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #352: exists( #24, #350 ), references = 3, size of lhs = 12:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), pppp0-{F}(V2,V4,V5), P_domain-{F}(V4,V6), P_domain-{F}(V5,V7), P_multiplication-{F}(V8,V7,V3), P_addition-{F}(V6,V8,V9), P_multiplication-{F}(V9,V7,V10), P_addition-{F}(V3,V6,V11), P_addition-{F}(V3,V7,V12), P_multiplication-{F}(V11,V12,V10) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #376: mergings( V3 == V4, V4 == V6, V5 == V7; #372 ), references = 1, size of lhs = 13:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V2,V2), P_domain-{F}(V3,V2), P_addition-{F}(V2,V4,V4), P_multiplication-{F}(V2,V4,V5), P_multiplication-{F}(V6,V4,V5), P_addition-{F}(V6,V2,V7), P_multiplication-{F}(V8,V4,V2), P_domain-{F}(V9,V4), pppp0-{F}(V3,V10,V9), P_domain-{F}(V10,V11), P_addition-{F}(V7,V11,V8) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #385: mergings( V2 == V4, V4 == V5, V5 == V7, V3 == V6, V6 == V8; #379 ), references = 1, size of lhs = 11:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V2,V2), P_domain-{F}(V3,V2), P_addition-{F}(V4,V2,V1), P_addition-{F}(V2,V5,V5), P_multiplication-{F}(V1,V5,V2), P_multiplication-{F}(V2,V5,V6), P_multiplication-{F}(V4,V5,V6), P_domain-{F}(V7,V5), pppp0-{F}(V3,V8,V7) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #404: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #397 ), references = 1, size of lhs = 6:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), P_multiplication-{F}(V2,V3,V0), P_addition-{F}(V3,V4,V5), P_multiplication-{F}(V2,V5,V6) | P_multiplication-{T}(V2,V4,V6)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #418: exists( #24, #416 ), references = 2, size of lhs = 14:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), pppp0-{F}(V2,V4,V5), P_domain-{F}(V4,V6), P_domain-{F}(V5,V7), P_addition-{F}(V3,V6,V8), P_addition-{F}(V3,V7,V9), P_multiplication-{F}(V8,V9,V10), P_addition-{F}(V6,V11,V12), P_multiplication-{F}(V12,V7,V13), P_multiplication-{F}(V11,V7,V14), P_addition-{F}(V14,V15,V3), P_addition-{F}(V13,V15,V10) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #423: mergings( V3 == V5, V4 == V6; #420 ), references = 2, size of lhs = 15:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), pppp0-{F}(V2,V4,V5), P_domain-{F}(V4,V6), P_domain-{F}(V5,V7), P_addition-{F}(V3,V6,V8), P_addition-{F}(V3,V7,V9), P_multiplication-{F}(V8,V9,V10), P_addition-{F}(V6,V11,V12), P_multiplication-{F}(V12,V7,V13), P_addition-{F}(V13,V14,V10), P_multiplication-{F}(V11,V15,V14), P_addition-{F}(V7,V15,V16), P_multiplication-{F}(V11,V16,V3) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #431: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #426 ), references = 2, size of lhs = 12:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_addition-{F}(V3,V4,V1), P_domain-{F}(V5,V4), pppp0-{F}(V2,V5,V6), P_domain-{F}(V6,V7), P_multiplication-{F}(V8,V7,V7), P_addition-{F}(V4,V9,V8), P_multiplication-{F}(V9,V10,V3), P_addition-{F}(V7,V10,V11), P_multiplication-{F}(V9,V11,V3) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #440: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #435 ), references = 1, size of lhs = 8:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V4,V1,V3), P_addition-{F}(V3,V5,V1), P_addition-{F}(V5,V4,V1), P_domain-{F}(V6,V5), pppp0-{F}(V2,V6,V7) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #446: mergings( V3 == V5, V4 == V6; #443 ), references = 4, size of lhs = 7:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V2), P_addition-{F}(V2,V4,V5), P_multiplication-{F}(V6,V5,V7), P_multiplication-{F}(V6,V4,V8), P_multiplication-{F}(V6,V3,V8) | P_multiplication-{T}(V6,V2,V7)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #453: mergings( V3 == V5, V4 == V6; #449 ), references = 2, size of lhs = 13:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), pppp0-{F}(V2,V4,V5), P_domain-{F}(V4,V6), P_domain-{F}(V5,V7), P_addition-{F}(V3,V6,V8), P_addition-{F}(V3,V7,V9), P_multiplication-{F}(V8,V9,V3), P_addition-{F}(V6,V10,V10), P_multiplication-{F}(V10,V11,V3), P_addition-{F}(V7,V12,V11), P_multiplication-{F}(V10,V12,V13) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #456: mergings( V3 == V5, V4 == V6; #450 ), references = 3, size of lhs = 16:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), pppp0-{F}(V2,V4,V5), P_domain-{F}(V4,V6), P_domain-{F}(V5,V7), P_addition-{F}(V3,V6,V8), P_addition-{F}(V3,V7,V9), P_multiplication-{F}(V8,V9,V10), P_addition-{F}(V6,V11,V12), P_multiplication-{F}(V11,V13,V3), P_addition-{F}(V7,V14,V13), P_multiplication-{F}(V11,V14,V15), P_multiplication-{F}(V12,V16,V15), P_addition-{F}(V7,V16,V17), P_multiplication-{F}(V12,V17,V10) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #483: mergings( V3 == V5, V4 == V6; #479 ), references = 2, size of lhs = 15:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V2,V2), P_domain-{F}(V3,V2), P_domain-{F}(V4,V5), pppp0-{F}(V4,V6,V3), P_domain-{F}(V6,V7), P_addition-{F}(V5,V7,V8), P_addition-{F}(V7,V8,V8), P_addition-{F}(V9,V5,V5), P_multiplication-{F}(V8,V9,V10), P_multiplication-{F}(V8,V11,V10), P_addition-{F}(V11,V5,V12), P_addition-{F}(V12,V2,V13), P_multiplication-{F}(V8,V13,V5) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #486: mergings( V3 == V5, V4 == V6; #480 ), references = 2, size of lhs = 15:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V2,V2), P_domain-{F}(V3,V2), P_domain-{F}(V4,V5), pppp0-{F}(V4,V6,V3), P_domain-{F}(V6,V7), P_addition-{F}(V5,V7,V8), P_addition-{F}(V7,V8,V8), P_addition-{F}(V9,V5,V5), P_multiplication-{F}(V8,V9,V10), P_multiplication-{F}(V8,V11,V10), P_addition-{F}(V11,V5,V12), P_addition-{F}(V12,V2,V13), P_multiplication-{F}(V8,V13,V5) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #502: mergings( V2 == V3, V3 == V5, V4 == V6; #497 ), references = 1, size of lhs = 12:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_addition-{F}(V4,V3,V3), P_addition-{F}(V5,V3,V1), P_multiplication-{F}(V6,V1,V3), P_multiplication-{F}(V6,V4,V7), P_multiplication-{F}(V6,V5,V7), P_addition-{F}(V3,V8,V6), P_addition-{F}(V8,V6,V6), P_domain-{F}(V9,V8), pppp0-{F}(V2,V9,V10) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #506: mergings( V2 == V3, V3 == V5, V4 == V6; #498 ), references = 1, size of lhs = 12:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_addition-{F}(V4,V3,V3), P_addition-{F}(V5,V3,V1), P_multiplication-{F}(V6,V1,V3), P_multiplication-{F}(V6,V4,V7), P_multiplication-{F}(V6,V5,V7), P_addition-{F}(V3,V8,V6), P_addition-{F}(V8,V6,V6), P_domain-{F}(V9,V8), pppp0-{F}(V2,V9,V10) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #543: exists( #24, #7 ), references = 1, size of lhs = 6:
% 58.43/58.64 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)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #545: exists( #24, #352 ), references = 1, size of lhs = 10:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_addition-{F}(V3,V4,V4), P_multiplication-{F}(V5,V4,V3), P_domain-{F}(V6,V4), pppp0-{F}(V2,V7,V6), P_domain-{F}(V7,V8), P_addition-{F}(V8,V5,V9), P_addition-{F}(V3,V8,V9) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #559: exists( #24, #8 ), references = 1, size of lhs = 6:
% 58.43/58.64 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)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #591: mergings( V2 == V3, V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V18, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19; #575 ), references = 1, size of lhs = 13:
% 58.43/58.64 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_addition-{F}(V0,V2,V2), P_multiplication-{F}(V2,V3,V3), P_domain-{F}(V4,V0), P_domain-{F}(V5,V6), P_addition-{F}(V5,V3,V7), P_domain-{F}(V7,V6), P_multiplication-{F}(V6,V2,V8), P_multiplication-{F}(V9,V3,V10), P_multiplication-{F}(V11,V10,V4), P_multiplication-{F}(V11,V9,V8) | P_domain-{T}(V3,V0)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #625: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V24, V24 == V26, V26 == V28, V4 == V6, V6 == V8, V8 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V25, V25 == V27, V27 == V29; #600 ), references = 1, size of lhs = 14:
% 58.43/58.64 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_addition-{F}(V0,V2,V2), P_domain-{F}(V3,V0), P_multiplication-{F}(V4,V2,V5), P_multiplication-{F}(V6,V2,V5), P_domain-{F}(V7,V6), P_domain-{F}(V8,V6), P_multiplication-{F}(V9,V10,V7), P_multiplication-{F}(V11,V10,V8), P_addition-{F}(V12,V9,V11), P_multiplication-{F}(V4,V12,V13), P_multiplication-{F}(V13,V10,V3) | P_multiplication-{T}(V12,V10,V0)
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #649: exists( #24, #456 ), references = 1, size of lhs = 14:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), pppp0-{F}(V2,V4,V5), P_domain-{F}(V4,V6), P_domain-{F}(V5,V7), P_addition-{F}(V3,V6,V8), P_addition-{F}(V3,V7,V9), P_addition-{F}(V6,V10,V8), P_addition-{F}(V7,V11,V9), P_multiplication-{F}(V8,V11,V12), P_multiplication-{F}(V10,V13,V12), P_addition-{F}(V7,V13,V14), P_multiplication-{F}(V10,V14,V3) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #660: mergings( V3 == V5, V4 == V6; #657 ), references = 2, size of lhs = 16:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V2,V2), P_domain-{F}(V3,V2), P_domain-{F}(V4,V5), pppp0-{F}(V4,V6,V3), P_domain-{F}(V6,V7), P_addition-{F}(V5,V7,V8), P_multiplication-{F}(V8,V5,V5), P_addition-{F}(V7,V9,V8), P_addition-{F}(V10,V5,V5), P_multiplication-{F}(V9,V10,V11), P_multiplication-{F}(V9,V12,V11), P_addition-{F}(V12,V5,V13), P_addition-{F}(V13,V2,V14), P_multiplication-{F}(V9,V14,V5) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #670: mergings( V2 == V3, V3 == V5, V4 == V6; #666 ), references = 1, size of lhs = 13:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V4,V1,V3), P_addition-{F}(V5,V3,V3), P_multiplication-{F}(V4,V5,V6), P_multiplication-{F}(V4,V7,V6), P_addition-{F}(V7,V3,V1), P_multiplication-{F}(V8,V3,V3), P_addition-{F}(V3,V9,V8), P_addition-{F}(V9,V4,V8), P_domain-{F}(V10,V9), pppp0-{F}(V2,V10,V11) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #683: mergings( V3 == V5, V5 == V6, V6 == V8, V4 == V7, V7 == V9; #677 ), references = 1, size of lhs = 16:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V2), P_domain-{F}(V3,V2), P_addition-{F}(V4,V2,V2), P_multiplication-{F}(V2,V4,V5), P_multiplication-{F}(V2,V6,V5), P_addition-{F}(V6,V2,V1), P_addition-{F}(V7,V2,V2), P_multiplication-{F}(V7,V2,V8), P_multiplication-{F}(V9,V2,V8), P_addition-{F}(V9,V2,V10), P_multiplication-{F}(V11,V2,V2), P_addition-{F}(V10,V12,V11), P_domain-{F}(V13,V12), pppp0-{F}(V3,V13,V14) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #694: mergings( V2 == V4, V4 == V6, V6 == V7, V7 == V9, V3 == V5, V5 == V8, V8 == V10; #686 ), references = 1, size of lhs = 14:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V2), P_multiplication-{F}(V1,V2,V2), P_domain-{F}(V3,V2), P_addition-{F}(V4,V2,V2), P_multiplication-{F}(V2,V4,V5), P_multiplication-{F}(V2,V6,V5), P_addition-{F}(V6,V2,V1), P_addition-{F}(V7,V2,V2), P_multiplication-{F}(V7,V2,V8), P_multiplication-{F}(V9,V2,V8), P_addition-{F}(V9,V2,V1), pppp0-{F}(V3,V10,V11) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #703: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V10, V4 == V6, V6 == V9, V9 == V11; #695 ), references = 2, size of lhs = 14:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V2), P_multiplication-{F}(V1,V2,V2), P_domain-{F}(V3,V2), pppp1-{F}(V3,V4), P_addition-{F}(V5,V2,V2), P_multiplication-{F}(V2,V5,V6), P_multiplication-{F}(V2,V7,V6), P_addition-{F}(V7,V2,V1), P_addition-{F}(V8,V2,V2), P_multiplication-{F}(V8,V2,V9), P_multiplication-{F}(V10,V2,V9), P_addition-{F}(V10,V2,V1) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #723: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V10, V7 == V9, V9 == V11; #714 ), references = 1, size of lhs = 4:
% 58.43/58.64 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V2), pppp1-{F}(V2,V3) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #733: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V10, V7 == V9, V9 == V11; #724 ), references = 1, size of lhs = 4:
% 58.43/58.64 pppp2-{F}(V0), P_zero-{F}(V1), P_one-{F}(V2), P_multiplication-{F}(V2,V0,V0) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #747: mergings( V0 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V13, V1 == V10, V10 == V12, V12 == V14; #735 ), references = 1, size of lhs = 3:
% 58.43/58.64 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #758: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #749 ), references = 1, size of lhs = 1:
% 58.43/58.64 P_zero-{F}(V0) | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 #760: exists( #23, #749 ), references = 1, size of lhs = 0:
% 58.43/58.64 FALSE | FALSE
% 58.43/58.64 (used 0 times, uses = {})
% 58.43/58.64
% 58.43/58.64 number of learnt formulas = 79
% 58.43/58.64
% 58.43/58.64
% 58.43/58.64 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 58.43/58.64
% 58.43/58.64 randbase = 1
%------------------------------------------------------------------------------