TSTP Solution File: REL003-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : REL003-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n025.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 06:14:37 EDT 2022
% Result : Unsatisfiable 70.23s 70.41s
% Output : Refutation 70.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : REL003-1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n025.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 : Sat Jul 23 00:45:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 70.23/70.41 GeoParameters:
% 70.23/70.41
% 70.23/70.41 tptp_input = 1
% 70.23/70.41 tptp_output = 0
% 70.23/70.41 nonempty = 1
% 70.23/70.41 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 70.23/70.41 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 70.23/70.41
% 70.23/70.41
% 70.23/70.41 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 70.23/70.41 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 70.23/70.41
% 70.23/70.41 RuleSystem INPUT:
% 70.23/70.41
% 70.23/70.41 Initial Rules:
% 70.23/70.41 #0: input, references = 6, size of lhs = 3:
% 70.23/70.41 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1: input, references = 9, size of lhs = 5:
% 70.23/70.41 P_join-{F}(V1,V2,V3), P_join-{F}(V0,V3,V4), P_join-{F}(V0,V1,V5), P_join-{F}(V5,V2,V6), V4 == V6 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #2: input, references = 12, size of lhs = 8:
% 70.23/70.41 P_complement-{F}(V0,V2), P_complement-{F}(V1,V3), P_join-{F}(V2,V3,V4), P_complement-{F}(V4,V5), P_join-{F}(V2,V1,V6), P_complement-{F}(V6,V7), P_join-{F}(V5,V7,V8), V0 == V8 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #3: input, references = 7, size of lhs = 6:
% 70.23/70.41 P_meet-{F}(V0,V1,V2), P_complement-{F}(V0,V3), P_complement-{F}(V1,V4), P_join-{F}(V3,V4,V5), P_complement-{F}(V5,V6), V2 == V6 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #4: input, references = 5, size of lhs = 5:
% 70.23/70.41 P_composition-{F}(V1,V2,V3), P_composition-{F}(V0,V3,V4), P_composition-{F}(V0,V1,V5), P_composition-{F}(V5,V2,V6), V4 == V6 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #5: input, references = 4, size of lhs = 3:
% 70.23/70.41 P_one-{F}(V0), P_composition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #6: input, references = 8, size of lhs = 7:
% 70.23/70.41 P_one-{F}(V0), P_join-{F}(V1,V2,V4), P_composition-{F}(V4,V3,V5), P_composition-{F}(V1,V3,V6), P_composition-{F}(V2,V3,V7), P_join-{F}(V6,V7,V8), V5 == V8 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #7: input, references = 7, size of lhs = 4:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V1,V2), P_converse-{F}(V2,V3), V3 == V1 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #8: input, references = 6, size of lhs = 7:
% 70.23/70.41 P_one-{F}(V0), P_join-{F}(V1,V2,V3), P_converse-{F}(V3,V4), P_converse-{F}(V1,V5), P_converse-{F}(V2,V6), P_join-{F}(V5,V6,V7), V4 == V7 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #9: input, references = 7, size of lhs = 7:
% 70.23/70.41 P_one-{F}(V0), P_composition-{F}(V1,V2,V3), P_converse-{F}(V3,V4), P_converse-{F}(V2,V5), P_converse-{F}(V1,V6), P_composition-{F}(V5,V6,V7), V4 == V7 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #10: input, references = 6, size of lhs = 8:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V1,V3), P_composition-{F}(V1,V2,V4), P_complement-{F}(V4,V5), P_composition-{F}(V3,V5,V6), P_complement-{F}(V2,V7), P_join-{F}(V6,V7,V8), V8 == V7 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #11: input, references = 4, size of lhs = 5:
% 70.23/70.41 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V2,V3), P_join-{F}(V2,V3,V4), V1 == V4 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #12: input, references = 4, size of lhs = 6:
% 70.23/70.41 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_complement-{F}(V3,V4), P_meet-{F}(V3,V4,V5), V2 == V5 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #13: input, references = 7, size of lhs = 11:
% 70.23/70.41 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_join-{F}(V3,V4,V5), P_converse-{F}(V3,V6), P_converse-{F}(V4,V7), P_join-{F}(V6,V7,V8), V5 == V4, V8 == V7 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #14: input, references = 6, size of lhs = 9:
% 70.23/70.41 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_join-{F}(V3,V4,V4), P_converse-{F}(V3,V6), P_converse-{F}(V4,V7), P_join-{F}(V6,V7,V7) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #15: input, references = 20, size of lhs = 2:
% 70.23/70.41 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #16: input, references = 20, size of lhs = 1:
% 70.23/70.41 #-{F} V0 | EXISTS V1: P_complement-{T}(V0,V1)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #17: input, references = 13, size of lhs = 2:
% 70.23/70.41 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #18: input, references = 12, size of lhs = 2:
% 70.23/70.41 #-{F} V0, #-{F} V1 | EXISTS V2: P_composition-{T}(V0,V1,V2)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #19: input, references = 4, size of lhs = 0:
% 70.23/70.41 FALSE | EXISTS V0: P_one-{T}(V0)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #20: input, references = 33, size of lhs = 1:
% 70.23/70.41 #-{F} V0 | EXISTS V1: P_converse-{T}(V0,V1)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #21: input, references = 4, size of lhs = 0:
% 70.23/70.41 FALSE | EXISTS V0: P_top-{T}(V0)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #22: input, references = 5, size of lhs = 0:
% 70.23/70.41 FALSE | EXISTS V0: P_zero-{T}(V0)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #23: input, references = 6, size of lhs = 0:
% 70.23/70.41 FALSE | EXISTS V0: P_sk1-{T}(V0)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #24: input, references = 9, size of lhs = 0:
% 70.23/70.41 FALSE | EXISTS V0: P_sk2-{T}(V0)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 number of initial rules = 25
% 70.23/70.41
% 70.23/70.41 Simplifiers:
% 70.23/70.41 #25: unsound, references = 3, size of lhs = 3:
% 70.23/70.41 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #26: unsound, references = 3, size of lhs = 3:
% 70.23/70.41 P_complement-{F}(V0,V1), P_complement-{F}(V0,V3), V1 == V3 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #27: unsound, references = 3, size of lhs = 3:
% 70.23/70.41 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #28: unsound, references = 3, size of lhs = 3:
% 70.23/70.41 P_composition-{F}(V0,V1,V2), P_composition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #29: unsound, references = 3, size of lhs = 3:
% 70.23/70.41 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #30: unsound, references = 3, size of lhs = 3:
% 70.23/70.41 P_converse-{F}(V0,V1), P_converse-{F}(V0,V3), V1 == V3 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #31: unsound, references = 3, size of lhs = 3:
% 70.23/70.41 P_top-{F}(V0), P_top-{F}(V1), V0 == V1 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #32: unsound, references = 3, size of lhs = 3:
% 70.23/70.41 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #33: unsound, references = 3, size of lhs = 3:
% 70.23/70.41 P_sk1-{F}(V0), P_sk1-{F}(V1), V0 == V1 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #34: unsound, references = 3, size of lhs = 3:
% 70.23/70.41 P_sk2-{F}(V0), P_sk2-{F}(V1), V0 == V1 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 number of simplifiers = 10
% 70.23/70.41
% 70.23/70.41 Learnt:
% 70.23/70.41 #36: exists( #15, #11 ), references = 20, size of lhs = 3:
% 70.23/70.41 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V2,V3) | P_join-{T}(V2,V3,V1)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #39: exists( #16, #3 ), references = 4, size of lhs = 4:
% 70.23/70.41 P_complement-{F}(V0,V1), P_meet-{F}(V0,V2,V3), P_complement-{F}(V2,V4), P_join-{F}(V1,V4,V5) | P_complement-{T}(V5,V3)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #43: exists( #17, #12 ), references = 10, size of lhs = 4:
% 70.23/70.41 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_complement-{F}(V3,V4) | P_meet-{T}(V3,V4,V2)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #49: exists( #20, #9 ), references = 3, size of lhs = 5:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V1,V2), P_composition-{F}(V3,V1,V4), P_converse-{F}(V3,V5), P_composition-{F}(V2,V5,V6) | P_converse-{T}(V4,V6)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #51: exists( #18, #5 ), references = 40, size of lhs = 2:
% 70.23/70.41 P_one-{F}(V0), #-{F} V1 | P_composition-{T}(V1,V0,V1)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #53: exists( #20, #7 ), references = 39, size of lhs = 2:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V1,V2) | P_converse-{T}(V2,V1)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #59: exists( #18, #9 ), references = 27, size of lhs = 5:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V1,V2), P_composition-{F}(V3,V1,V4), P_converse-{F}(V4,V5), P_converse-{F}(V3,V6) | P_composition-{T}(V2,V6,V5)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #63: mergings( V2 == V3; #61 ), references = 4, size of lhs = 9:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V1,V2), P_complement-{F}(V3,V2), P_composition-{F}(V1,V4,V5), P_converse-{F}(V5,V6), P_composition-{F}(V4,V7,V3), P_complement-{F}(V7,V8), P_join-{F}(V6,V8,V9), V9 == V8 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #70: exists( #15, #10 ), references = 6, size of lhs = 6:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V1,V2), P_composition-{F}(V1,V3,V4), P_complement-{F}(V4,V5), P_composition-{F}(V2,V5,V6), P_complement-{F}(V3,V7) | P_join-{T}(V6,V7,V7)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #71: exists( #15, #63 ), references = 11, size of lhs = 7:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V1,V2), P_complement-{F}(V3,V2), P_composition-{F}(V1,V4,V5), P_converse-{F}(V5,V6), P_composition-{F}(V4,V7,V3), P_complement-{F}(V7,V8) | P_join-{T}(V6,V8,V8)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #81: mergings( V0 == V2, V2 == V3; #78 ), references = 1, size of lhs = 1:
% 70.23/70.41 P_one-{F}(V0) | P_converse-{T}(V0,V0)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #91: exists( #15, #1 ), references = 15, size of lhs = 3:
% 70.23/70.41 P_join-{F}(V0,V1,V2), P_join-{F}(V3,V0,V4), P_join-{F}(V4,V1,V5) | P_join-{T}(V3,V2,V5)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #98: exists( #15, #13 ), references = 3, size of lhs = 7:
% 70.23/70.41 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_converse-{F}(V3,V3), P_sk2-{F}(V4), P_converse-{F}(V4,V4) | P_join-{T}(V3,V4,V4)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #99: exists( #15, #6 ), references = 13, size of lhs = 5:
% 70.23/70.41 P_one-{F}(V0), P_join-{F}(V1,V2,V3), P_composition-{F}(V3,V4,V5), P_composition-{F}(V1,V4,V6), P_composition-{F}(V2,V4,V7) | P_join-{T}(V6,V7,V5)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #102: exists( #15, #8 ), references = 20, size of lhs = 5:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V1,V2), P_join-{F}(V1,V3,V4), P_converse-{F}(V4,V5), P_converse-{F}(V3,V6) | P_join-{T}(V2,V6,V5)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #115: mergings( V3 == V5, V4 == V6; #112 ), references = 3, size of lhs = 10:
% 70.23/70.41 P_one-{F}(V0), P_top-{F}(V1), P_join-{F}(V2,V1,V1), P_complement-{F}(V3,V2), V3 == V1, P_complement-{F}(V4,V5), P_complement-{F}(V6,V7), P_join-{F}(V5,V7,V8), P_complement-{F}(V9,V8), P_meet-{F}(V9,V8,V1) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #133: exists( #15, #0 ), references = 56, size of lhs = 1:
% 70.23/70.41 P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #134: exists( #15, #1 ), references = 11, size of lhs = 3:
% 70.23/70.41 P_join-{F}(V0,V1,V2), P_join-{F}(V3,V2,V4), P_join-{F}(V3,V0,V5) | P_join-{T}(V5,V1,V4)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #143: exists( #16, #141 ), references = 1, size of lhs = 6:
% 70.23/70.41 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V1,V2), P_complement-{F}(V3,V4), P_meet-{F}(V3,V4,V5), V5 == V2 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #145: exists( #16, #142 ), references = 9, size of lhs = 4:
% 70.23/70.41 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V2,V3), P_meet-{F}(V2,V3,V4) | P_complement-{T}(V1,V4)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #173: mergings( V7 == V9, V14 == V15, V2 == V3, V3 == V4, V4 == V5; #166 ), references = 1, size of lhs = 11:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V0,V1), P_join-{F}(V1,V1,V1), P_complement-{F}(V2,V2), P_join-{F}(V3,V4,V2), P_complement-{F}(V5,V6), P_join-{F}(V6,V3,V7), P_join-{F}(V7,V2,V8), P_complement-{F}(V8,V9), P_join-{F}(V9,V9,V10), V5 == V10 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #179: mergings( V7 == V12, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #167 ), references = 1, size of lhs = 13:
% 70.23/70.41 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V2,V1), P_complement-{F}(V3,V1), P_meet-{F}(V3,V1,V1), P_converse-{F}(V0,V4), P_join-{F}(V4,V4,V4), P_join-{F}(V5,V1,V1), P_join-{F}(V6,V7,V1), P_join-{F}(V8,V6,V5), P_complement-{F}(V9,V8), V9 == V1, P_complement-{F}(V10,V8) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #201: mergings( V2 == V3, V3 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V4 == V5; #191 ), references = 1, size of lhs = 6:
% 70.23/70.41 P_zero-{F}(V0), P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V0), #-{F} V2, V2 == V0 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #212: exists( #15, #210 ), references = 6, size of lhs = 11:
% 70.23/70.41 P_complement-{F}(V0,V1), P_complement-{F}(V2,V1), P_join-{F}(V1,V3,V4), P_join-{F}(V3,V5,V6), P_complement-{F}(V7,V6), P_meet-{F}(V0,V7,V8), P_complement-{F}(V9,V6), P_join-{F}(V1,V9,V10), P_complement-{F}(V10,V11), P_join-{F}(V8,V11,V12), V2 == V12 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #223: exists( #17, #3 ), references = 3, size of lhs = 4:
% 70.23/70.41 P_complement-{F}(V0,V1), P_complement-{F}(V2,V3), P_join-{F}(V1,V3,V4), P_complement-{F}(V4,V5) | P_meet-{T}(V0,V2,V5)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #225: exists( #20, #8 ), references = 4, size of lhs = 5:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V1,V2), P_join-{F}(V1,V3,V4), P_converse-{F}(V3,V5), P_join-{F}(V2,V5,V6) | P_converse-{T}(V4,V6)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #246: mergings( V2 == V3, V3 == V4; #241 ), references = 1, size of lhs = 12:
% 70.23/70.41 P_one-{F}(V0), P_complement-{F}(V1,V2), P_composition-{F}(V0,V1,V3), P_complement-{F}(V3,V2), P_complement-{F}(V4,V2), P_complement-{F}(V5,V2), V5 == V2, P_complement-{F}(V6,V2), P_meet-{F}(V4,V6,V2), P_complement-{F}(V7,V2), P_join-{F}(V2,V7,V8), P_complement-{F}(V8,V2) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #262: mergings( V2 == V3, V3 == V4; #257 ), references = 2, size of lhs = 13:
% 70.23/70.41 P_one-{F}(V0), P_complement-{F}(V1,V2), P_composition-{F}(V0,V1,V3), P_complement-{F}(V3,V2), P_complement-{F}(V4,V2), P_complement-{F}(V5,V2), P_complement-{F}(V6,V2), P_meet-{F}(V4,V6,V7), P_complement-{F}(V8,V2), P_join-{F}(V2,V8,V9), P_complement-{F}(V9,V10), P_join-{F}(V7,V10,V11), V5 == V11 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #289: mergings( V2 == V3, V3 == V4; #284 ), references = 4, size of lhs = 11:
% 70.23/70.41 P_one-{F}(V0), P_complement-{F}(V1,V2), P_complement-{F}(V3,V2), P_complement-{F}(V2,V4), P_composition-{F}(V0,V1,V5), P_complement-{F}(V5,V6), P_complement-{F}(V7,V6), P_join-{F}(V6,V3,V8), P_complement-{F}(V8,V9), P_join-{F}(V4,V9,V10), V7 == V10 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #294: mergings( V8 == V10, V2 == V3, V3 == V4, V4 == V5; #285 ), references = 1, size of lhs = 7:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V2), P_complement-{F}(V3,V4), P_composition-{F}(V2,V4,V5), P_join-{F}(V5,V4,V6), V6 == V4 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #299: mergings( V7 == V11, V2 == V3, V3 == V4, V4 == V5; #286 ), references = 2, size of lhs = 8:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V2,V3), P_composition-{F}(V2,V1,V4), P_converse-{F}(V4,V5), P_complement-{F}(V6,V3), P_join-{F}(V5,V3,V7), V7 == V3 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #304: mergings( V2 == V4; #302 ), references = 2, size of lhs = 10:
% 70.23/70.41 P_top-{F}(V0), P_one-{F}(V1), P_complement-{F}(V2,V3), P_complement-{F}(V4,V3), P_composition-{F}(V1,V2,V5), P_complement-{F}(V5,V6), P_complement-{F}(V7,V6), V7 == V0, P_join-{F}(V6,V4,V8), P_complement-{F}(V8,V3) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #334: mergings( V2 == V3, V3 == V4; #329 ), references = 1, size of lhs = 11:
% 70.23/70.41 P_one-{F}(V0), P_complement-{F}(V1,V2), P_composition-{F}(V0,V1,V3), P_complement-{F}(V3,V4), P_complement-{F}(V5,V2), P_complement-{F}(V6,V4), P_complement-{F}(V7,V8), V7 == V2, P_join-{F}(V8,V9,V5), P_complement-{F}(V9,V10), P_join-{F}(V8,V10,V6) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #337: mergings( V2 == V3, V3 == V4; #330 ), references = 1, size of lhs = 14:
% 70.23/70.41 P_one-{F}(V0), P_complement-{F}(V1,V2), P_composition-{F}(V0,V1,V3), P_complement-{F}(V3,V4), P_complement-{F}(V5,V2), P_complement-{F}(V6,V7), P_complement-{F}(V8,V7), V8 == V2, P_meet-{F}(V6,V9,V4), P_complement-{F}(V9,V10), P_complement-{F}(V11,V10), P_join-{F}(V7,V11,V5), P_join-{F}(V7,V12,V13), P_join-{F}(V12,V14,V10) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #341: mergings( V2 == V3, V3 == V4, V4 == V5; #331 ), references = 1, size of lhs = 13:
% 70.23/70.41 P_one-{F}(V0), P_complement-{F}(V1,V2), P_composition-{F}(V0,V1,V3), P_complement-{F}(V3,V4), P_complement-{F}(V5,V2), P_complement-{F}(V6,V4), P_complement-{F}(V7,V6), P_complement-{F}(V8,V6), P_composition-{F}(V0,V7,V9), P_complement-{F}(V9,V10), P_join-{F}(V10,V8,V5), P_complement-{F}(V11,V10), V11 == V2 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #365: mergings( V9 == V12, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #355 ), references = 1, size of lhs = 12:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V0,V0), P_complement-{F}(V1,V2), P_complement-{F}(V2,V3), P_complement-{F}(V4,V2), P_join-{F}(V2,V1,V5), P_complement-{F}(V5,V6), P_complement-{F}(V7,V6), P_composition-{F}(V0,V7,V8), P_complement-{F}(V8,V3), P_complement-{F}(V9,V2), V9 == V6 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #373: mergings( V11 == V13, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #356 ), references = 1, size of lhs = 14:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V2), P_complement-{F}(V3,V4), P_composition-{F}(V2,V4,V5), P_complement-{F}(V4,V6), P_complement-{F}(V7,V5), P_complement-{F}(V8,V4), P_join-{F}(V5,V8,V9), P_complement-{F}(V9,V10), V7 == V10, P_complement-{F}(V11,V10), P_composition-{F}(V0,V11,V12), P_complement-{F}(V12,V6) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #383: mergings( V13 == V25, V14 == V17, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #357 ), references = 1, size of lhs = 18:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V2), P_complement-{F}(V3,V0), P_complement-{F}(V4,V5), P_composition-{F}(V6,V4,V3), P_complement-{F}(V7,V5), P_complement-{F}(V8,V5), P_composition-{F}(V0,V8,V9), P_complement-{F}(V9,V10), P_meet-{F}(V11,V7,V10), P_complement-{F}(V11,V12), P_complement-{F}(V13,V12), V13 == V5, P_join-{F}(V12,V5,V14), P_complement-{F}(V6,V15), P_complement-{F}(V15,V5), P_composition-{F}(V2,V15,V12) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #401: mergings( V2 == V3; #399 ), references = 2, size of lhs = 12:
% 70.23/70.41 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_join-{F}(V3,V4,V5), V5 == V4, P_converse-{F}(V4,V6), P_converse-{F}(V7,V6), P_join-{F}(V7,V3,V8), P_converse-{F}(V8,V9), V9 == V6 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #429: mergings( V2 == V3, V3 == V4, V4 == V5; #423 ), references = 1, size of lhs = 4:
% 70.23/70.41 P_one-{F}(V0), P_complement-{F}(V1,V0), P_complement-{F}(V2,V3), P_composition-{F}(V3,V2,V1) | P_converse-{T}(V3,V3)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #469: mergings( V2 == V3, V3 == V4; #466 ), references = 3, size of lhs = 9:
% 70.23/70.41 P_one-{F}(V0), P_complement-{F}(V1,V2), P_complement-{F}(V3,V2), P_complement-{F}(V2,V4), P_composition-{F}(V0,V1,V5), P_complement-{F}(V5,V6), P_complement-{F}(V7,V6), P_meet-{F}(V7,V3,V8), V8 == V4 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #473: mergings( V2 == V3, V3 == V4; #470 ), references = 17, size of lhs = 7:
% 70.23/70.41 P_one-{F}(V0), P_complement-{F}(V1,V2), P_complement-{F}(V3,V2), P_composition-{F}(V0,V1,V4), P_complement-{F}(V4,V5), P_complement-{F}(V6,V5), P_meet-{F}(V6,V3,V7) | P_complement-{T}(V2,V7)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #491: exists( #17, #469 ), references = 1, size of lhs = 7:
% 70.23/70.41 P_one-{F}(V0), P_complement-{F}(V1,V2), P_complement-{F}(V3,V2), P_complement-{F}(V2,V4), P_composition-{F}(V0,V1,V5), P_complement-{F}(V5,V6), P_complement-{F}(V7,V6) | P_meet-{T}(V7,V3,V4)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #532: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #527 ), references = 8, size of lhs = 16:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V1,V2), P_converse-{F}(V3,V4), P_composition-{F}(V2,V4,V5), P_join-{F}(V5,V6,V7), P_converse-{F}(V7,V8), P_converse-{F}(V6,V9), P_converse-{F}(V10,V11), P_composition-{F}(V12,V10,V5), P_converse-{F}(V12,V13), P_join-{F}(V11,V14,V15), P_composition-{F}(V15,V13,V16), P_composition-{F}(V14,V13,V17), P_join-{F}(V9,V16,V18), P_join-{F}(V8,V17,V19), V18 == V19 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #544: exists( #15, #540 ), references = 6, size of lhs = 9:
% 70.23/70.41 P_one-{F}(V0), P_complement-{F}(V1,V2), P_complement-{F}(V3,V2), P_complement-{F}(V2,V4), P_composition-{F}(V0,V1,V5), P_complement-{F}(V5,V6), P_complement-{F}(V7,V6), P_join-{F}(V6,V3,V8), P_complement-{F}(V8,V9) | P_join-{T}(V9,V4,V7)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #545: exists( #15, #541 ), references = 4, size of lhs = 11:
% 70.23/70.41 P_one-{F}(V0), P_complement-{F}(V1,V2), P_composition-{F}(V0,V1,V3), P_complement-{F}(V3,V2), P_complement-{F}(V4,V2), P_complement-{F}(V5,V2), P_complement-{F}(V6,V2), P_meet-{F}(V4,V6,V7), P_complement-{F}(V8,V2), P_join-{F}(V2,V8,V9), P_complement-{F}(V9,V10) | P_join-{T}(V10,V7,V5)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #556: mergings( V3 == V4, V4 == V5; #552 ), references = 1, size of lhs = 27:
% 70.23/70.41 P_one-{F}(V0), P_complement-{F}(V1,V2), P_complement-{F}(V3,V2), P_composition-{F}(V0,V1,V4), P_complement-{F}(V4,V5), P_complement-{F}(V6,V5), P_meet-{F}(V6,V3,V7), P_complement-{F}(V8,V2), P_complement-{F}(V9,V2), P_composition-{F}(V0,V8,V10), P_complement-{F}(V10,V11), P_complement-{F}(V12,V11), P_join-{F}(V11,V9,V13), P_complement-{F}(V13,V14), P_converse-{F}(V15,V14), P_converse-{F}(V16,V14), P_composition-{F}(V7,V17,V7), P_converse-{F}(V18,V17), P_composition-{F}(V18,V15,V19), P_join-{F}(V19,V20,V16), P_converse-{F}(V20,V21), P_composition-{F}(V12,V17,V22), P_join-{F}(V21,V22,V23), V23 == V12, P_converse-{F}(V24,V25), P_composition-{F}(V25,V26,V19), P_converse-{F}(V27,V26) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #558: mergings( V3 == V4; #553 ), references = 1, size of lhs = 17:
% 70.23/70.41 P_one-{F}(V0), P_complement-{F}(V1,V2), P_complement-{F}(V3,V2), P_composition-{F}(V0,V1,V4), P_complement-{F}(V4,V5), P_complement-{F}(V6,V5), P_meet-{F}(V6,V3,V7), P_complement-{F}(V8,V2), P_complement-{F}(V9,V2), P_composition-{F}(V0,V8,V10), P_complement-{F}(V10,V11), P_complement-{F}(V12,V11), P_join-{F}(V11,V9,V13), P_complement-{F}(V13,V14), P_join-{F}(V15,V14,V14), P_join-{F}(V15,V12,V16), V16 == V12 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #565: mergings( V3 == V4, V4 == V5; #561 ), references = 1, size of lhs = 25:
% 70.23/70.41 P_one-{F}(V0), P_complement-{F}(V1,V2), P_complement-{F}(V3,V2), P_composition-{F}(V0,V1,V4), P_complement-{F}(V4,V5), P_complement-{F}(V6,V5), P_meet-{F}(V6,V3,V7), P_complement-{F}(V8,V2), P_complement-{F}(V9,V2), P_composition-{F}(V0,V8,V10), P_complement-{F}(V10,V11), P_complement-{F}(V12,V11), P_join-{F}(V11,V9,V13), P_complement-{F}(V13,V14), P_converse-{F}(V15,V14), P_converse-{F}(V16,V14), P_composition-{F}(V7,V17,V7), P_converse-{F}(V18,V17), P_composition-{F}(V18,V15,V19), P_join-{F}(V19,V20,V16), P_converse-{F}(V20,V21), P_composition-{F}(V12,V17,V22), P_converse-{F}(V23,V24), P_composition-{F}(V24,V25,V19), P_converse-{F}(V26,V25) | P_join-{T}(V22,V21,V12)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #567: mergings( V3 == V4; #562 ), references = 1, size of lhs = 15:
% 70.23/70.41 P_one-{F}(V0), P_complement-{F}(V1,V2), P_complement-{F}(V3,V2), P_composition-{F}(V0,V1,V4), P_complement-{F}(V4,V5), P_complement-{F}(V6,V5), P_meet-{F}(V6,V3,V7), P_complement-{F}(V8,V2), P_complement-{F}(V9,V2), P_composition-{F}(V0,V8,V10), P_complement-{F}(V10,V11), P_complement-{F}(V12,V11), P_join-{F}(V11,V9,V13), P_complement-{F}(V13,V14), P_join-{F}(V15,V14,V14) | P_join-{T}(V12,V15,V12)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #573: mergings( V2 == V3; #571 ), references = 6, size of lhs = 12:
% 70.23/70.41 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_join-{F}(V3,V4,V4), P_converse-{F}(V4,V5), P_converse-{F}(V6,V7), P_join-{F}(V6,V3,V8), P_converse-{F}(V8,V9), P_join-{F}(V10,V9,V5), P_join-{F}(V10,V7,V5) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #596: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #590 ), references = 1, size of lhs = 10:
% 70.23/70.41 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_converse-{F}(V4,V5), P_complement-{F}(V6,V3), P_composition-{F}(V0,V7,V6), P_complement-{F}(V7,V8), P_join-{F}(V8,V9,V4) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #602: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V10 == V11; #591 ), references = 1, size of lhs = 10:
% 70.23/70.41 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_converse-{F}(V4,V5), P_complement-{F}(V6,V3), P_composition-{F}(V0,V7,V6), P_complement-{F}(V7,V8), P_join-{F}(V8,V9,V4) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #615: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #607 ), references = 2, size of lhs = 21:
% 70.23/70.41 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_complement-{F}(V4,V5), P_converse-{F}(V4,V6), P_complement-{F}(V7,V5), P_composition-{F}(V0,V8,V7), P_complement-{F}(V8,V9), P_complement-{F}(V10,V9), P_complement-{F}(V11,V9), P_composition-{F}(V0,V10,V12), P_complement-{F}(V12,V13), P_complement-{F}(V14,V13), P_complement-{F}(V15,V9), P_join-{F}(V5,V15,V16), P_complement-{F}(V16,V17), P_complement-{F}(V18,V17), P_composition-{F}(V0,V18,V19), P_complement-{F}(V19,V3) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #623: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V15 == V16; #608 ), references = 2, size of lhs = 21:
% 70.23/70.41 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_complement-{F}(V4,V5), P_converse-{F}(V4,V6), P_complement-{F}(V7,V5), P_composition-{F}(V0,V8,V7), P_complement-{F}(V8,V9), P_complement-{F}(V10,V9), P_complement-{F}(V11,V9), P_composition-{F}(V0,V10,V12), P_complement-{F}(V12,V13), P_complement-{F}(V14,V13), P_complement-{F}(V15,V9), P_join-{F}(V5,V15,V16), P_complement-{F}(V16,V17), P_complement-{F}(V18,V17), P_composition-{F}(V0,V18,V19), P_complement-{F}(V19,V3) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #643: mergings( V9 == V10, V10 == V12, V2 == V3, V3 == V4, V4 == V5; #636 ), references = 2, size of lhs = 15:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V0,V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_complement-{F}(V4,V5), P_complement-{F}(V6,V5), P_complement-{F}(V7,V5), P_complement-{F}(V8,V5), P_join-{F}(V5,V8,V9), P_complement-{F}(V9,V10), P_complement-{F}(V11,V10), P_composition-{F}(V0,V11,V12), P_complement-{F}(V12,V3) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #649: mergings( V9 == V10, V10 == V12, V2 == V3, V3 == V4, V4 == V5; #637 ), references = 2, size of lhs = 15:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V0,V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_complement-{F}(V4,V5), P_complement-{F}(V6,V5), P_complement-{F}(V7,V5), P_complement-{F}(V8,V5), P_join-{F}(V5,V8,V9), P_complement-{F}(V9,V10), P_complement-{F}(V11,V10), P_composition-{F}(V0,V11,V12), P_complement-{F}(V12,V3) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #669: mergings( V2 == V3, V3 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V11, V4 == V7, V7 == V12, V5 == V13; #658 ), references = 1, size of lhs = 7:
% 70.23/70.41 P_sk1-{F}(V0), P_zero-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V1), P_top-{F}(V2), P_composition-{F}(V1,V2,V2), P_sk2-{F}(V3) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #687: mergings( V1 == V2, V2 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V10, V3 == V6, V6 == V11, V4 == V12; #676 ), references = 1, size of lhs = 6:
% 70.23/70.41 P_sk1-{F}(V0), P_zero-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V1), P_top-{F}(V2), P_composition-{F}(V1,V2,V2) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #709: exists( #20, #401 ), references = 3, size of lhs = 9:
% 70.23/70.41 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_join-{F}(V3,V4,V5), V5 == V4, P_join-{F}(V4,V3,V6), P_converse-{F}(V6,V7) | P_converse-{T}(V4,V7)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #724: mergings( V2 == V5, V5 == V7, V7 == V9, V9 == V13, V3 == V6, V6 == V8, V8 == V10, V4 == V11; #715 ), references = 1, size of lhs = 9:
% 70.23/70.41 P_sk2-{F}(V0), P_zero-{F}(V0), P_sk1-{F}(V1), V1 == V0, P_top-{F}(V1), P_converse-{F}(V1,V2), P_one-{F}(V3), P_converse-{F}(V2,V4), V4 == V0 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #774: mergings( V3 == V4, V4 == V9; #771 ), references = 2, size of lhs = 11:
% 70.23/70.41 P_top-{F}(V0), P_zero-{F}(V1), P_sk1-{F}(V2), P_sk2-{F}(V3), P_one-{F}(V4), P_converse-{F}(V5,V5), P_join-{F}(V6,V5,V2), P_join-{F}(V3,V6,V7), P_converse-{F}(V7,V7), P_join-{F}(V8,V3,V7), P_join-{F}(V5,V8,V2) | P_join-{T}(V5,V7,V3)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #861: mergings( V3 == V4, V4 == V9, V9 == V10; #857 ), references = 1, size of lhs = 28:
% 70.23/70.41 P_top-{F}(V0), P_zero-{F}(V1), P_sk1-{F}(V2), P_sk2-{F}(V3), P_one-{F}(V4), P_converse-{F}(V5,V4), P_composition-{F}(V3,V4,V6), P_converse-{F}(V7,V7), P_converse-{F}(V8,V7), P_composition-{F}(V5,V8,V9), P_join-{F}(V10,V7,V2), P_join-{F}(V7,V11,V2), P_converse-{F}(V12,V12), P_join-{F}(V3,V13,V12), P_join-{F}(V12,V14,V11), P_join-{F}(V14,V3,V15), P_converse-{F}(V15,V15), P_join-{F}(V13,V15,V10), P_converse-{F}(V16,V17), P_composition-{F}(V17,V18,V9), P_converse-{F}(V19,V18), P_join-{F}(V9,V20,V21), P_converse-{F}(V21,V22), P_join-{F}(V22,V3,V23), P_join-{F}(V23,V10,V24), P_converse-{F}(V20,V25), P_join-{F}(V25,V6,V26), V26 == V24 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #874: exists( #18, #4 ), references = 1, size of lhs = 3:
% 70.23/70.41 P_composition-{F}(V0,V1,V2), P_composition-{F}(V3,V2,V4), P_composition-{F}(V3,V0,V5) | P_composition-{T}(V5,V1,V4)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #886: mergings( V9 == V11, V2 == V3, V3 == V4; #882 ), references = 1, size of lhs = 7:
% 70.23/70.41 P_one-{F}(V0), P_complement-{F}(V1,V2), P_composition-{F}(V0,V1,V3), P_complement-{F}(V3,V4), P_join-{F}(V2,V5,V6), P_join-{F}(V4,V6,V7), V7 == V6 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #892: mergings( V11 == V13, V3 == V4, V4 == V5; #888 ), references = 12, size of lhs = 7:
% 70.23/70.41 P_one-{F}(V0), P_complement-{F}(V1,V2), P_composition-{F}(V0,V1,V3), P_complement-{F}(V3,V4), P_join-{F}(V4,V5,V6), P_join-{F}(V5,V7,V8), P_join-{F}(V2,V9,V8) | P_join-{T}(V6,V7,V8)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #924: mergings( V12 == V13, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V11; #917 ), references = 3, size of lhs = 14:
% 70.23/70.41 P_top-{F}(V0), P_zero-{F}(V1), P_sk1-{F}(V2), P_sk2-{F}(V3), P_one-{F}(V4), P_converse-{F}(V4,V4), P_complement-{F}(V5,V6), P_join-{F}(V6,V7,V2), P_join-{F}(V7,V3,V8), V8 == V3, P_join-{F}(V6,V9,V8), P_converse-{F}(V8,V10), P_converse-{F}(V10,V11), V11 == V3 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #960: mergings( V13 == V17, V15 == V17, V3 == V4, V4 == V5, V5 == V7; #953 ), references = 1, size of lhs = 20:
% 70.23/70.41 P_top-{F}(V0), P_one-{F}(V1), P_complement-{F}(V0,V2), P_complement-{F}(V3,V2), P_composition-{F}(V1,V3,V4), P_complement-{F}(V4,V2), P_complement-{F}(V5,V2), P_complement-{F}(V6,V7), P_composition-{F}(V1,V6,V8), P_complement-{F}(V8,V7), P_join-{F}(V9,V9,V7), V7 == V9, P_complement-{F}(V9,V7), P_complement-{F}(V10,V7), P_complement-{F}(V11,V7), P_complement-{F}(V12,V7), P_composition-{F}(V1,V12,V13), P_complement-{F}(V13,V7), P_complement-{F}(V14,V7), P_join-{F}(V7,V14,V5) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #967: mergings( V17 == V13, V13 == V19, V15 == V19, V3 == V4, V4 == V5, V5 == V7; #954 ), references = 1, size of lhs = 21:
% 70.23/70.41 P_top-{F}(V0), P_one-{F}(V1), P_complement-{F}(V0,V2), P_complement-{F}(V3,V2), P_composition-{F}(V1,V3,V4), P_complement-{F}(V4,V2), P_complement-{F}(V5,V2), P_complement-{F}(V6,V7), P_composition-{F}(V1,V6,V8), P_complement-{F}(V8,V7), P_complement-{F}(V9,V7), P_join-{F}(V10,V10,V7), V7 == V10, P_complement-{F}(V10,V7), P_complement-{F}(V11,V7), P_complement-{F}(V12,V7), P_complement-{F}(V13,V7), P_composition-{F}(V1,V13,V14), P_complement-{F}(V14,V7), P_complement-{F}(V15,V7), P_join-{F}(V7,V15,V5) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1004: mergings( V3 == V4, V4 == V9; #1001 ), references = 1, size of lhs = 15:
% 70.23/70.41 P_top-{F}(V0), P_zero-{F}(V1), P_sk1-{F}(V2), P_sk2-{F}(V3), P_converse-{F}(V4,V3), P_one-{F}(V5), P_converse-{F}(V5,V5), P_converse-{F}(V6,V6), P_converse-{F}(V7,V7), P_join-{F}(V4,V8,V7), P_join-{F}(V8,V6,V9), P_converse-{F}(V9,V10), P_join-{F}(V11,V10,V2), P_join-{F}(V11,V9,V9), P_complement-{F}(V12,V11) | P_join-{T}(V4,V9,V3)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1046: mergings( V15 == V16, V2 == V3, V3 == V4, V4 == V5, V5 == V10; #1040 ), references = 1, size of lhs = 16:
% 70.23/70.41 P_top-{F}(V0), P_zero-{F}(V1), P_sk1-{F}(V2), P_sk2-{F}(V3), V2 == V3, P_one-{F}(V4), P_converse-{F}(V4,V4), P_join-{F}(V5,V3,V2), P_join-{F}(V6,V5,V2), P_converse-{F}(V2,V7), P_converse-{F}(V7,V8), V8 == V3, P_complement-{F}(V9,V10), P_join-{F}(V10,V6,V11), P_join-{F}(V10,V12,V2), P_complement-{F}(V13,V11) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1056: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V10, V3 == V8; #1049 ), references = 2, size of lhs = 11:
% 70.23/70.41 P_sk1-{F}(V0), P_top-{F}(V0), P_zero-{F}(V1), P_sk2-{F}(V2), V0 == V2, P_one-{F}(V3), P_converse-{F}(V3,V3), P_converse-{F}(V0,V4), P_converse-{F}(V4,V5), V5 == V2, P_complement-{F}(V6,V0) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1064: exists( #15, #2 ), references = 5, size of lhs = 6:
% 70.23/70.41 P_complement-{F}(V0,V1), P_complement-{F}(V2,V3), P_join-{F}(V1,V3,V4), P_complement-{F}(V4,V5), P_join-{F}(V1,V2,V6), P_complement-{F}(V6,V7) | P_join-{T}(V5,V7,V0)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1065: exists( #15, #299 ), references = 4, size of lhs = 6:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V2,V3), P_composition-{F}(V2,V1,V4), P_converse-{F}(V4,V5), P_complement-{F}(V6,V3) | P_join-{T}(V5,V3,V3)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1066: exists( #15, #63 ), references = 1, size of lhs = 7:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V1,V2), P_complement-{F}(V3,V2), P_composition-{F}(V1,V4,V5), P_converse-{F}(V5,V6), P_composition-{F}(V4,V7,V3), P_complement-{F}(V7,V8) | P_join-{T}(V6,V8,V8)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1068: exists( #16, #469 ), references = 1, size of lhs = 7:
% 70.23/70.41 P_one-{F}(V0), P_complement-{F}(V1,V2), P_complement-{F}(V3,V2), P_composition-{F}(V0,V1,V4), P_complement-{F}(V4,V5), P_complement-{F}(V6,V5), P_meet-{F}(V6,V3,V7) | P_complement-{T}(V2,V7)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1104: mergings( V12 == V16, V3 == V4; #1100 ), references = 2, size of lhs = 19:
% 70.23/70.41 P_one-{F}(V0), P_complement-{F}(V1,V2), P_complement-{F}(V3,V2), P_composition-{F}(V0,V1,V4), P_complement-{F}(V4,V5), P_complement-{F}(V6,V5), P_complement-{F}(V7,V2), P_complement-{F}(V8,V2), P_composition-{F}(V0,V7,V9), P_complement-{F}(V9,V10), P_join-{F}(V10,V8,V11), P_complement-{F}(V11,V12), P_complement-{F}(V13,V10), P_complement-{F}(V14,V12), P_join-{F}(V15,V12,V14), P_join-{F}(V15,V13,V16), P_complement-{F}(V16,V17), P_join-{F}(V10,V17,V18), V2 == V18 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1110: mergings( V14 == V16, V18 == V20, V12 == V17, V16 == V21, V3 == V4; #1101 ), references = 2, size of lhs = 18:
% 70.23/70.41 P_one-{F}(V0), P_complement-{F}(V1,V2), P_complement-{F}(V3,V2), P_composition-{F}(V0,V1,V4), P_complement-{F}(V4,V5), P_complement-{F}(V6,V5), P_complement-{F}(V7,V2), P_complement-{F}(V8,V2), P_composition-{F}(V0,V7,V9), P_complement-{F}(V9,V10), P_join-{F}(V10,V8,V11), P_complement-{F}(V11,V12), P_complement-{F}(V12,V10), P_complement-{F}(V13,V12), P_join-{F}(V10,V12,V14), V2 == V14, P_complement-{F}(V15,V12), P_join-{F}(V16,V12,V15) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1126: mergings( V6 == V8, V8 == V11, V2 == V3, V3 == V4, V4 == V5; #1119 ), references = 1, size of lhs = 14:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V0,V0), P_complement-{F}(V1,V2), P_complement-{F}(V3,V2), P_complement-{F}(V4,V2), P_complement-{F}(V5,V2), P_join-{F}(V2,V4,V6), P_complement-{F}(V6,V7), P_complement-{F}(V7,V2), P_complement-{F}(V8,V7), P_join-{F}(V2,V7,V9), V2 == V9, P_complement-{F}(V10,V7), P_join-{F}(V11,V7,V10) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1132: mergings( V6 == V8, V8 == V11, V2 == V3, V3 == V4, V4 == V5; #1120 ), references = 4, size of lhs = 15:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V0,V0), P_complement-{F}(V1,V2), P_complement-{F}(V3,V2), P_complement-{F}(V4,V2), P_complement-{F}(V5,V2), P_join-{F}(V2,V4,V6), P_complement-{F}(V6,V7), P_complement-{F}(V8,V2), P_complement-{F}(V9,V7), P_join-{F}(V10,V7,V9), P_join-{F}(V10,V8,V11), P_complement-{F}(V11,V12), P_join-{F}(V2,V12,V13), V2 == V13 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1146: mergings( V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V9; #1139 ), references = 2, size of lhs = 9:
% 70.23/70.41 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V1), P_complement-{F}(V0,V2), P_complement-{F}(V3,V2), P_complement-{F}(V4,V2), P_composition-{F}(V1,V3,V5), P_complement-{F}(V5,V6), P_complement-{F}(V7,V6) | P_meet-{T}(V7,V4,V0)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1152: mergings( V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V9; #1140 ), references = 1, size of lhs = 10:
% 70.23/70.41 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V1), P_complement-{F}(V0,V2), P_complement-{F}(V3,V2), P_complement-{F}(V4,V2), P_composition-{F}(V1,V3,V5), P_complement-{F}(V5,V6), P_complement-{F}(V7,V6), P_complement-{F}(V8,V2) | P_meet-{T}(V7,V4,V0)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1169: mergings( V2 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V16, V3 == V13, V4 == V14; #1157 ), references = 1, size of lhs = 11:
% 70.23/70.41 P_sk1-{F}(V0), P_top-{F}(V0), P_zero-{F}(V1), P_sk2-{F}(V2), V0 == V2, P_one-{F}(V3), P_composition-{F}(V3,V0,V0), P_converse-{F}(V3,V3), P_converse-{F}(V0,V4), P_converse-{F}(V4,V5), V5 == V2 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1182: mergings( V1 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V14, V2 == V12, V3 == V13; #1170 ), references = 1, size of lhs = 8:
% 70.23/70.41 P_sk1-{F}(V0), P_top-{F}(V0), P_zero-{F}(V1), P_one-{F}(V2), P_composition-{F}(V2,V0,V0), P_converse-{F}(V2,V2), P_converse-{F}(V0,V3), P_converse-{F}(V3,V4) | P_sk2-{T}(V0), P_sk2-{T}(V4)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1206: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V13, V13 == V16, V16 == V19, V11 == V14, V14 == V15, V1 == V15, V15 == V17, V17 == V20, V2 == V12, V12 == V18, V18 == V21; #1185 ), references = 1, size of lhs = 7:
% 70.23/70.41 P_sk1-{F}(V0), P_converse-{F}(V0,V0), P_top-{F}(V0), P_one-{F}(V1), P_composition-{F}(V1,V0,V0), P_converse-{F}(V1,V1), P_zero-{F}(V2) | P_sk2-{T}(V0)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1227: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V13, V13 == V16, V16 == V19, V11 == V14, V14 == V15, V1 == V15, V15 == V17, V17 == V20, V2 == V12, V12 == V18, V18 == V21, V20 == V22; #1186 ), references = 1, size of lhs = 7:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V0,V0), P_top-{F}(V1), P_composition-{F}(V0,V1,V1), P_sk1-{F}(V1), P_converse-{F}(V1,V1), P_zero-{F}(V2) | P_sk2-{T}(V1)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1256: exists( #15, #1252 ), references = 1, size of lhs = 7:
% 70.23/70.41 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_converse-{F}(V3,V4), P_converse-{F}(V4,V3) | P_join-{T}(V4,V3,V4), P_join-{T}(V4,V3,V3)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1266: mergings( V0 == V5, V3 == V6; #1262 ), references = 1, size of lhs = 8:
% 70.23/70.41 P_top-{F}(V0), P_zero-{F}(V1), P_sk1-{F}(V2), P_sk2-{F}(V3), V3 == V2, P_converse-{F}(V2,V3), P_converse-{F}(V3,V2), P_one-{F}(V4) | P_join-{T}(V3,V2,V2)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1273: mergings( V0 == V5, V5 == V6, V4 == V9, V3 == V7, V7 == V8, V8 == V11; #1263 ), references = 1, size of lhs = 10:
% 70.23/70.41 P_top-{F}(V0), P_zero-{F}(V1), P_sk1-{F}(V2), P_sk2-{F}(V3), V2 == V3, P_converse-{F}(V3,V2), P_converse-{F}(V2,V3), P_one-{F}(V4), P_composition-{F}(V3,V5,V3), P_composition-{F}(V2,V5,V2) | P_join-{T}(V3,V2,V2)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1301: mergings( V12 == V19, V14 == V19, V3 == V4, V4 == V5, V5 == V7; #1295 ), references = 4, size of lhs = 20:
% 70.23/70.41 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V1), P_complement-{F}(V0,V2), P_complement-{F}(V3,V2), P_join-{F}(V4,V2,V3), P_complement-{F}(V5,V6), P_composition-{F}(V1,V5,V7), P_complement-{F}(V7,V6), P_join-{F}(V4,V6,V8), P_complement-{F}(V8,V9), P_complement-{F}(V10,V6), P_complement-{F}(V11,V6), P_complement-{F}(V12,V6), P_composition-{F}(V1,V12,V13), P_complement-{F}(V13,V6), P_complement-{F}(V14,V6), P_complement-{F}(V15,V6), P_join-{F}(V6,V15,V16), P_complement-{F}(V16,V9) | P_meet-{T}(V10,V11,V14)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1332: mergings( V3 == V4; #1329 ), references = 5, size of lhs = 6:
% 70.23/70.41 P_one-{F}(V0), P_join-{F}(V1,V2,V1), P_join-{F}(V1,V3,V4), P_composition-{F}(V4,V5,V6), P_composition-{F}(V3,V5,V7), P_composition-{F}(V2,V5,V7) | P_composition-{T}(V1,V5,V6)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1337: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1330 ), references = 1, size of lhs = 21:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V1,V2), P_composition-{F}(V3,V1,V4), P_converse-{F}(V3,V5), P_composition-{F}(V2,V5,V6), P_converse-{F}(V7,V8), P_converse-{F}(V9,V10), P_composition-{F}(V8,V10,V11), P_composition-{F}(V12,V13,V11), P_composition-{F}(V14,V13,V4), P_join-{F}(V12,V14,V15), P_composition-{F}(V15,V13,V4), P_converse-{F}(V16,V17), P_composition-{F}(V18,V16,V11), P_converse-{F}(V18,V19), P_composition-{F}(V20,V19,V6), P_composition-{F}(V21,V19,V6), P_join-{F}(V20,V22,V22), P_join-{F}(V17,V22,V22), P_join-{F}(V21,V22,V23), P_composition-{F}(V23,V19,V24) | P_composition-{T}(V22,V19,V24)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1355: mergings( V3 == V4; #1353 ), references = 3, size of lhs = 7:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V1,V2), P_join-{F}(V2,V3,V2), P_composition-{F}(V1,V4,V5), P_complement-{F}(V5,V6), P_complement-{F}(V4,V7), P_composition-{F}(V3,V6,V7) | P_composition-{T}(V2,V6,V7)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1442: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #1436 ), references = 1, size of lhs = 17:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V1,V2), P_converse-{F}(V2,V3), P_converse-{F}(V3,V2), P_join-{F}(V2,V4,V2), P_composition-{F}(V4,V3,V5), P_complement-{F}(V6,V5), P_complement-{F}(V7,V3), P_composition-{F}(V8,V6,V7), P_join-{F}(V1,V8,V9), P_converse-{F}(V9,V10), P_composition-{F}(V10,V3,V11), P_converse-{F}(V11,V12), V12 == V11, P_join-{F}(V8,V13,V8), P_converse-{F}(V13,V14), P_composition-{F}(V14,V3,V5) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1448: mergings( V16 == V17, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #1437 ), references = 1, size of lhs = 24:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V1,V2), P_join-{F}(V2,V3,V2), P_converse-{F}(V2,V4), P_converse-{F}(V4,V2), P_composition-{F}(V3,V4,V5), P_complement-{F}(V6,V5), P_complement-{F}(V7,V4), P_composition-{F}(V8,V6,V7), P_join-{F}(V1,V8,V9), P_converse-{F}(V9,V10), P_composition-{F}(V10,V4,V11), P_join-{F}(V8,V12,V8), P_converse-{F}(V12,V13), P_composition-{F}(V13,V4,V5), P_converse-{F}(V14,V15), P_composition-{F}(V15,V16,V11), P_converse-{F}(V17,V16), P_join-{F}(V11,V18,V19), P_converse-{F}(V19,V20), P_converse-{F}(V18,V21), P_join-{F}(V21,V11,V22), P_join-{F}(V20,V5,V23), V22 == V23 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1504: mergings( V25 == V19, V26 == V29, V31 == V33, V33 == V34, V34 == V35, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17; #1484 ), references = 1, size of lhs = 34:
% 70.23/70.41 P_top-{F}(V0), P_complement-{F}(V0,V1), P_one-{F}(V2), P_join-{F}(V2,V2,V2), P_converse-{F}(V2,V2), P_complement-{F}(V3,V1), P_converse-{F}(V4,V2), P_complement-{F}(V4,V5), P_complement-{F}(V5,V6), P_join-{F}(V6,V1,V3), P_converse-{F}(V5,V7), P_converse-{F}(V8,V7), P_composition-{F}(V7,V8,V9), P_composition-{F}(V10,V8,V9), P_converse-{F}(V11,V7), P_complement-{F}(V12,V11), P_converse-{F}(V13,V10), P_complement-{F}(V13,V11), P_complement-{F}(V14,V15), P_join-{F}(V16,V15,V4), P_complement-{F}(V16,V15), P_join-{F}(V15,V17,V6), P_join-{F}(V17,V15,V13), P_join-{F}(V15,V18,V13), P_complement-{F}(V19,V15), P_complement-{F}(V20,V15), P_join-{F}(V15,V20,V12), P_composition-{F}(V15,V21,V15), P_complement-{F}(V21,V22), P_join-{F}(V15,V16,V23), P_join-{F}(V6,V23,V24), P_converse-{F}(V24,V25), P_composition-{F}(V25,V8,V26), P_converse-{F}(V26,V22) | P_converse-{T}(V16,V16)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1524: mergings( V32 == V27, V19 == V34, V36 == V41, V41 == V42, V42 == V43, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V34 == V20; #1485 ), references = 1, size of lhs = 36:
% 70.23/70.41 P_top-{F}(V0), P_complement-{F}(V0,V1), P_one-{F}(V2), P_join-{F}(V2,V2,V2), P_converse-{F}(V2,V2), P_complement-{F}(V3,V1), P_converse-{F}(V4,V2), P_complement-{F}(V4,V5), P_converse-{F}(V5,V6), P_converse-{F}(V6,V6), P_converse-{F}(V7,V6), P_composition-{F}(V6,V7,V8), P_complement-{F}(V9,V6), P_complement-{F}(V5,V10), P_join-{F}(V10,V1,V3), P_composition-{F}(V11,V7,V8), P_converse-{F}(V12,V6), P_composition-{F}(V13,V7,V12), P_converse-{F}(V14,V13), P_join-{F}(V10,V15,V14), P_complement-{F}(V16,V6), P_converse-{F}(V17,V11), P_complement-{F}(V17,V6), P_composition-{F}(V18,V9,V18), P_join-{F}(V19,V18,V17), P_join-{F}(V18,V19,V10), P_complement-{F}(V20,V18), P_complement-{F}(V21,V18), P_join-{F}(V18,V21,V16), P_complement-{F}(V22,V18), P_join-{F}(V18,V23,V17), P_join-{F}(V18,V24,V15), P_join-{F}(V24,V18,V4), P_complement-{F}(V24,V18), P_composition-{F}(V24,V25,V24), P_converse-{F}(V26,V25) | P_converse-{T}(V24,V24)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1553: mergings( V3 == V4; #1551 ), references = 1, size of lhs = 15:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V1,V2), P_converse-{F}(V3,V4), P_composition-{F}(V2,V4,V5), P_join-{F}(V5,V6,V7), P_converse-{F}(V7,V8), P_converse-{F}(V6,V9), P_join-{F}(V10,V11,V10), P_composition-{F}(V11,V12,V8), P_converse-{F}(V13,V12), P_composition-{F}(V13,V14,V5), P_converse-{F}(V14,V15), P_join-{F}(V15,V10,V16), P_composition-{F}(V16,V12,V17), P_join-{F}(V9,V17,V18) | P_composition-{T}(V10,V12,V18)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1560: mergings( V3 == V4, V4 == V5, V5 == V6; #1556 ), references = 2, size of lhs = 29:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V1,V2), P_converse-{F}(V2,V3), P_converse-{F}(V3,V4), P_converse-{F}(V5,V6), P_converse-{F}(V6,V7), P_join-{F}(V2,V8,V9), P_composition-{F}(V9,V6,V10), P_composition-{F}(V8,V6,V11), P_converse-{F}(V10,V12), P_converse-{F}(V11,V13), P_composition-{F}(V14,V3,V12), P_join-{F}(V15,V14,V15), P_converse-{F}(V15,V16), P_join-{F}(V7,V15,V17), P_composition-{F}(V17,V3,V18), P_join-{F}(V13,V18,V19), P_converse-{F}(V20,V21), P_composition-{F}(V21,V22,V19), P_converse-{F}(V23,V22), P_join-{F}(V19,V24,V25), P_converse-{F}(V25,V26), P_converse-{F}(V24,V27), P_join-{F}(V4,V28,V29), P_composition-{F}(V29,V16,V30), P_composition-{F}(V28,V16,V31), P_join-{F}(V27,V30,V32), P_join-{F}(V26,V31,V33), V32 == V33 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1564: exists( #18, #4 ), references = 1, size of lhs = 3:
% 70.23/70.41 P_composition-{F}(V0,V1,V2), P_composition-{F}(V3,V0,V4), P_composition-{F}(V4,V1,V5) | P_composition-{T}(V3,V2,V5)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1575: exists( #15, #1573 ), references = 1, size of lhs = 9:
% 70.23/70.41 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_join-{F}(V3,V4,V5), V5 == V4, P_converse-{F}(V3,V6), P_converse-{F}(V4,V7) | P_join-{T}(V7,V6,V7)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1587: mergings( V3 == V8, V0 == V9; #1582 ), references = 2, size of lhs = 9:
% 70.23/70.41 P_top-{F}(V0), P_zero-{F}(V1), P_sk1-{F}(V2), P_sk2-{F}(V3), P_converse-{F}(V2,V4), P_converse-{F}(V4,V2), P_converse-{F}(V3,V5), P_converse-{F}(V5,V3), P_one-{F}(V6) | P_join-{T}(V3,V2,V3)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1589: mergings( V3 == V8; #1583 ), references = 1, size of lhs = 19:
% 70.23/70.41 P_top-{F}(V0), P_zero-{F}(V1), P_sk1-{F}(V2), P_sk2-{F}(V3), P_converse-{F}(V2,V4), P_converse-{F}(V4,V2), P_converse-{F}(V3,V5), P_one-{F}(V6), P_converse-{F}(V5,V7), P_converse-{F}(V8,V9), P_composition-{F}(V9,V10,V5), P_converse-{F}(V11,V10), P_converse-{F}(V12,V13), P_composition-{F}(V14,V12,V5), P_converse-{F}(V14,V15), P_composition-{F}(V16,V15,V3), P_join-{F}(V13,V17,V16), P_composition-{F}(V17,V15,V18), P_join-{F}(V7,V18,V19) | P_join-{T}(V3,V2,V3), P_join-{T}(V3,V2,V19)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1591: mergings( V3 == V8; #1584 ), references = 1, size of lhs = 32:
% 70.23/70.41 P_top-{F}(V0), P_zero-{F}(V1), P_sk1-{F}(V2), P_sk2-{F}(V3), P_converse-{F}(V2,V4), P_converse-{F}(V4,V2), P_converse-{F}(V3,V5), P_one-{F}(V6), P_converse-{F}(V5,V7), P_converse-{F}(V8,V9), P_converse-{F}(V9,V10), P_converse-{F}(V10,V11), P_converse-{F}(V12,V13), P_converse-{F}(V13,V14), P_join-{F}(V9,V15,V16), P_composition-{F}(V16,V13,V17), P_composition-{F}(V15,V13,V18), P_converse-{F}(V17,V19), P_converse-{F}(V18,V20), P_composition-{F}(V21,V10,V19), P_join-{F}(V22,V21,V22), P_converse-{F}(V22,V23), P_join-{F}(V14,V22,V24), P_composition-{F}(V24,V10,V25), P_join-{F}(V20,V25,V5), P_composition-{F}(V26,V23,V3), P_join-{F}(V11,V27,V26), P_composition-{F}(V27,V23,V28), P_join-{F}(V7,V28,V29), P_converse-{F}(V30,V31), P_composition-{F}(V31,V32,V5), P_converse-{F}(V33,V32) | P_join-{T}(V3,V2,V3), P_join-{T}(V3,V2,V29)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1605: mergings( V0 == V7, V7 == V9, V4 == V6, V6 == V8, V1 == V10, V2 == V11; #1596 ), references = 1, size of lhs = 8:
% 70.23/70.41 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_converse-{F}(V3,V4), P_converse-{F}(V4,V3), P_sk2-{F}(V5), P_converse-{F}(V5,V5) | P_join-{T}(V5,V3,V5)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1612: mergings( V0 == V7, V7 == V9, V4 == V6, V5 == V11, V6 == V8, V8 == V10; #1597 ), references = 1, size of lhs = 11:
% 70.23/70.41 P_top-{F}(V0), P_zero-{F}(V1), P_sk1-{F}(V2), P_sk2-{F}(V3), P_converse-{F}(V3,V3), P_one-{F}(V4), P_converse-{F}(V2,V5), P_converse-{F}(V5,V2), P_join-{F}(V2,V5,V6), P_join-{F}(V3,V6,V7), V7 == V3 | P_join-{T}(V3,V2,V3)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1621: mergings( V0 == V7, V7 == V9, V9 == V10, V5 == V13, V6 == V11, V4 == V8, V11 == V12, V8 == V15; #1598 ), references = 1, size of lhs = 14:
% 70.23/70.41 P_top-{F}(V0), P_zero-{F}(V1), P_sk1-{F}(V2), P_sk2-{F}(V3), P_one-{F}(V4), P_converse-{F}(V3,V5), P_converse-{F}(V5,V3), P_converse-{F}(V2,V6), P_converse-{F}(V6,V2), P_composition-{F}(V5,V7,V3), P_composition-{F}(V6,V7,V8), P_join-{F}(V2,V8,V9), P_join-{F}(V3,V9,V10), V3 == V10 | P_join-{T}(V3,V2,V3)
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1642: mergings( V2 == V3, V3 == V6, V6 == V7, V7 == V10, V13 == V14, V4 == V8, V8 == V11, V5 == V9, V9 == V12; #1632 ), references = 1, size of lhs = 6:
% 70.23/70.41 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_converse-{F}(V4,V4) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1681: mergings( V2 == V5, V5 == V6, V10 == V11, V11 == V12, V12 == V13, V3 == V7, V4 == V8; #1673 ), references = 2, size of lhs = 8:
% 70.23/70.41 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_converse-{F}(V4,V5), P_converse-{F}(V5,V4), P_join-{F}(V6,V5,V5) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1691: mergings( V2 == V3, V3 == V4, V4 == V5; #1687 ), references = 3, size of lhs = 8:
% 70.23/70.41 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_composition-{F}(V4,V5,V4), P_converse-{F}(V5,V6), P_join-{F}(V6,V6,V6) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1710: mergings( V2 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V10, V3 == V6, V6 == V15, V4 == V16; #1697 ), references = 2, size of lhs = 12:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V0,V0), P_top-{F}(V1), P_composition-{F}(V0,V1,V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_composition-{F}(V4,V5,V4), P_converse-{F}(V5,V1), P_converse-{F}(V6,V1), P_composition-{F}(V6,V0,V7), P_converse-{F}(V7,V1) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1715: mergings( V1 == V2, V2 == V3; #1712 ), references = 1, size of lhs = 9:
% 70.23/70.41 P_one-{F}(V0), P_top-{F}(V0), P_composition-{F}(V0,V0,V0), P_converse-{F}(V0,V0), P_zero-{F}(V1), P_sk1-{F}(V2), P_converse-{F}(V3,V0), P_composition-{F}(V3,V0,V4), P_converse-{F}(V4,V0) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1719: mergings( V1 == V2, V2 == V3; #1716 ), references = 1, size of lhs = 8:
% 70.23/70.41 P_one-{F}(V0), P_top-{F}(V0), P_composition-{F}(V0,V0,V0), P_converse-{F}(V0,V0), P_zero-{F}(V1), P_converse-{F}(V2,V0), P_composition-{F}(V2,V0,V3), P_converse-{F}(V3,V0) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1723: mergings( V1 == V2, V2 == V3; #1720 ), references = 1, size of lhs = 7:
% 70.23/70.41 P_one-{F}(V0), P_top-{F}(V0), P_composition-{F}(V0,V0,V0), P_converse-{F}(V0,V0), P_converse-{F}(V1,V0), P_composition-{F}(V1,V0,V2), P_converse-{F}(V2,V0) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1780: mergings( V7 == V8, V12 == V13, V2 == V3, V3 == V4, V4 == V5; #1772 ), references = 1, size of lhs = 11:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V0,V0), P_complement-{F}(V1,V1), P_complement-{F}(V2,V3), P_join-{F}(V3,V4,V1), P_join-{F}(V3,V5,V6), P_complement-{F}(V6,V7), P_join-{F}(V7,V7,V8), P_join-{F}(V4,V9,V6), P_complement-{F}(V10,V9), V10 == V8 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1786: mergings( V10 == V11, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #1773 ), references = 1, size of lhs = 13:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V0,V0), P_top-{F}(V1), P_complement-{F}(V2,V1), P_complement-{F}(V3,V1), P_meet-{F}(V3,V1,V1), P_complement-{F}(V4,V5), P_join-{F}(V5,V6,V1), P_join-{F}(V5,V7,V1), P_join-{F}(V6,V8,V1), P_complement-{F}(V9,V8), V9 == V1, P_complement-{F}(V10,V8) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1792: mergings( V7 == V8, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #1774 ), references = 1, size of lhs = 17:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V0,V0), P_complement-{F}(V1,V2), P_join-{F}(V2,V3,V4), P_complement-{F}(V5,V4), P_complement-{F}(V6,V4), P_complement-{F}(V7,V4), P_join-{F}(V2,V8,V7), P_join-{F}(V3,V9,V7), V9 == V7, P_complement-{F}(V10,V9), P_complement-{F}(V11,V9), P_complement-{F}(V12,V9), P_join-{F}(V9,V12,V5), P_complement-{F}(V13,V9), P_complement-{F}(V14,V9), P_join-{F}(V9,V14,V6) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1819: mergings( V2 == V3, V3 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V11, V11 == V12, V4 == V5, V5 == V8; #1807 ), references = 1, size of lhs = 6:
% 70.23/70.41 P_zero-{F}(V0), P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V1), #-{F} V2, V2 == V0 | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1845: mergings( V2 == V5, V5 == V7, V7 == V9, V3 == V6, V6 == V10, V4 == V11; #1838 ), references = 2, size of lhs = 11:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V0,V1), P_top-{F}(V2), P_zero-{F}(V3), P_sk1-{F}(V4), P_sk2-{F}(V5), P_composition-{F}(V5,V6,V5), P_converse-{F}(V6,V3), P_converse-{F}(V7,V3), P_composition-{F}(V7,V1,V8), P_converse-{F}(V8,V3) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1850: mergings( V1 == V2, V3 == V5; #1847 ), references = 1, size of lhs = 8:
% 70.23/70.41 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_converse-{F}(V0,V2), P_sk1-{F}(V3), P_converse-{F}(V4,V2), P_composition-{F}(V4,V2,V5), P_converse-{F}(V5,V2) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1854: mergings( V1 == V2, V3 == V5; #1851 ), references = 1, size of lhs = 7:
% 70.23/70.41 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_converse-{F}(V0,V2), P_converse-{F}(V3,V2), P_composition-{F}(V3,V2,V4), P_converse-{F}(V4,V2) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1881: mergings( V7 == V9, V2 == V3, V3 == V4, V4 == V6; #1874 ), references = 1, size of lhs = 9:
% 70.23/70.41 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V1), P_complement-{F}(V2,V3), P_complement-{F}(V4,V3), P_complement-{F}(V5,V3), V5 == V0, P_join-{F}(V3,V2,V6), P_complement-{F}(V6,V3) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1886: mergings( V15 == V8, V2 == V3, V3 == V4, V4 == V5; #1875 ), references = 2, size of lhs = 13:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V0,V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_complement-{F}(V4,V5), P_complement-{F}(V6,V5), P_complement-{F}(V7,V5), P_complement-{F}(V8,V5), P_join-{F}(V5,V8,V9), P_complement-{F}(V9,V3), P_complement-{F}(V10,V3) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1891: mergings( V15 == V8, V2 == V3, V3 == V4, V4 == V5; #1876 ), references = 1, size of lhs = 13:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V0,V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_complement-{F}(V4,V5), P_complement-{F}(V6,V5), P_complement-{F}(V7,V5), P_complement-{F}(V8,V5), P_join-{F}(V5,V8,V9), P_complement-{F}(V9,V3), P_complement-{F}(V10,V3) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1920: mergings( V2 == V3, V3 == V6, V6 == V8, V4 == V7, V7 == V9, V5 == V10; #1912 ), references = 1, size of lhs = 6:
% 70.23/70.41 P_sk1-{F}(V0), P_zero-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V1), P_top-{F}(V2), P_sk2-{F}(V3) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1929: mergings( V1 == V2, V2 == V5, V5 == V7, V3 == V6, V6 == V8, V4 == V9; #1921 ), references = 1, size of lhs = 5:
% 70.23/70.41 P_sk1-{F}(V0), P_zero-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V1), P_top-{F}(V2) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1956: mergings( V7 == V8, V8 == V9, V9 == V12, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #1948 ), references = 1, size of lhs = 22:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V0,V0), P_complement-{F}(V1,V2), P_complement-{F}(V2,V3), P_complement-{F}(V4,V2), P_join-{F}(V2,V1,V5), P_complement-{F}(V5,V6), P_complement-{F}(V7,V6), P_complement-{F}(V8,V6), P_complement-{F}(V9,V6), P_complement-{F}(V10,V6), P_complement-{F}(V11,V6), P_join-{F}(V6,V10,V12), P_complement-{F}(V12,V13), P_complement-{F}(V14,V2), V6 == V14, P_complement-{F}(V15,V13), P_join-{F}(V16,V13,V15), P_join-{F}(V2,V17,V16), P_join-{F}(V17,V7,V18), P_complement-{F}(V18,V3), P_join-{F}(V2,V19,V18) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #1986: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V10, V3 == V5, V7 == V20, V5 == V12; #1976 ), references = 1, size of lhs = 15:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V0,V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_composition-{F}(V4,V5,V4), P_converse-{F}(V5,V6), P_composition-{F}(V0,V6,V6), P_converse-{F}(V7,V6), P_composition-{F}(V7,V0,V8), P_converse-{F}(V8,V6), P_complement-{F}(V1,V9), P_join-{F}(V1,V9,V10), P_complement-{F}(V10,V9) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #2003: mergings( V2 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V12, V12 == V14, V14 == V13, V3 == V9, V9 == V15, V4 == V16; #1990 ), references = 2, size of lhs = 12:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V0,V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_composition-{F}(V4,V5,V4), P_converse-{F}(V5,V6), P_composition-{F}(V0,V6,V6), P_converse-{F}(V7,V6), P_composition-{F}(V7,V0,V8), P_converse-{F}(V8,V6) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #2008: mergings( V1 == V2, V2 == V6; #2005 ), references = 1, size of lhs = 9:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V0,V0), P_composition-{F}(V0,V0,V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_converse-{F}(V4,V0), P_composition-{F}(V4,V0,V5), P_converse-{F}(V5,V0) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #2012: mergings( V1 == V2, V2 == V5; #2009 ), references = 1, size of lhs = 8:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V0,V0), P_composition-{F}(V0,V0,V0), P_top-{F}(V1), P_zero-{F}(V2), P_converse-{F}(V3,V0), P_composition-{F}(V3,V0,V4), P_converse-{F}(V4,V0) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #2016: mergings( V1 == V2, V2 == V4; #2013 ), references = 1, size of lhs = 7:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V0,V0), P_composition-{F}(V0,V0,V0), P_top-{F}(V1), P_converse-{F}(V2,V0), P_composition-{F}(V2,V0,V3), P_converse-{F}(V3,V0) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #2020: mergings( V1 == V2, V2 == V3; #2017 ), references = 1, size of lhs = 6:
% 70.23/70.41 P_one-{F}(V0), P_converse-{F}(V0,V0), P_composition-{F}(V0,V0,V0), P_converse-{F}(V1,V0), P_composition-{F}(V1,V0,V2), P_converse-{F}(V2,V0) | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 #2024: exists( #19, #2022 ), references = 1, size of lhs = 0:
% 70.23/70.41 FALSE | FALSE
% 70.23/70.41 (used 0 times, uses = {})
% 70.23/70.41
% 70.23/70.41 number of learnt formulas = 134
% 70.23/70.41
% 70.23/70.41
% 70.23/70.41 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 70.23/70.41
% 70.23/70.41 randbase = 1
%------------------------------------------------------------------------------