TSTP Solution File: REL001-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : REL001-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n004.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 06:14:36 EDT 2022
% Result : Unsatisfiable 7.46s 7.64s
% Output : Refutation 7.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL001-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n004.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 00:32:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 7.46/7.64 GeoParameters:
% 7.46/7.64
% 7.46/7.64 tptp_input = 1
% 7.46/7.64 tptp_output = 0
% 7.46/7.64 nonempty = 1
% 7.46/7.64 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.46/7.64 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 7.46/7.64
% 7.46/7.64
% 7.46/7.64 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.46/7.64 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.46/7.64
% 7.46/7.64 RuleSystem INPUT:
% 7.46/7.64
% 7.46/7.64 Initial Rules:
% 7.46/7.64 #0: input, references = 6, size of lhs = 3:
% 7.46/7.64 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 7.46/7.64 (used 0 times, uses = {})
% 7.46/7.64
% 7.46/7.64 #1: input, references = 8, size of lhs = 5:
% 7.46/7.64 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
% 7.46/7.64 (used 0 times, uses = {})
% 7.46/7.64
% 7.46/7.64 #2: input, references = 10, size of lhs = 8:
% 7.46/7.64 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
% 7.46/7.64 (used 0 times, uses = {})
% 7.46/7.64
% 7.46/7.64 #3: input, references = 9, size of lhs = 6:
% 7.46/7.65 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
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #4: input, references = 3, size of lhs = 5:
% 7.46/7.65 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
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #5: input, references = 4, size of lhs = 3:
% 7.46/7.65 P_one-{F}(V0), P_composition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #6: input, references = 6, size of lhs = 7:
% 7.46/7.65 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
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #7: input, references = 5, size of lhs = 4:
% 7.46/7.65 P_one-{F}(V0), P_converse-{F}(V1,V2), P_converse-{F}(V2,V3), V3 == V1 | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #8: input, references = 7, size of lhs = 7:
% 7.46/7.65 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
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #9: input, references = 7, size of lhs = 7:
% 7.46/7.65 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
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #10: input, references = 6, size of lhs = 8:
% 7.46/7.65 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
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #11: input, references = 4, size of lhs = 5:
% 7.46/7.65 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V2,V3), P_join-{F}(V2,V3,V4), V1 == V4 | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #12: input, references = 4, size of lhs = 6:
% 7.46/7.65 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
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #13: input, references = 11, size of lhs = 5:
% 7.46/7.65 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_join-{F}(V2,V3,V3) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #14: input, references = 18, size of lhs = 2:
% 7.46/7.65 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #15: input, references = 18, size of lhs = 1:
% 7.46/7.65 #-{F} V0 | EXISTS V1: P_complement-{T}(V0,V1)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #16: input, references = 14, size of lhs = 2:
% 7.46/7.65 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #17: input, references = 9, size of lhs = 2:
% 7.46/7.65 #-{F} V0, #-{F} V1 | EXISTS V2: P_composition-{T}(V0,V1,V2)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #18: input, references = 4, size of lhs = 0:
% 7.46/7.65 FALSE | EXISTS V0: P_one-{T}(V0)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #19: input, references = 28, size of lhs = 1:
% 7.46/7.65 #-{F} V0 | EXISTS V1: P_converse-{T}(V0,V1)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #20: input, references = 4, size of lhs = 0:
% 7.46/7.65 FALSE | EXISTS V0: P_top-{T}(V0)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #21: input, references = 4, size of lhs = 0:
% 7.46/7.65 FALSE | EXISTS V0: P_zero-{T}(V0)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #22: input, references = 4, size of lhs = 0:
% 7.46/7.65 FALSE | EXISTS V0: P_sk1-{T}(V0)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 number of initial rules = 23
% 7.46/7.65
% 7.46/7.65 Simplifiers:
% 7.46/7.65 #23: unsound, references = 3, size of lhs = 3:
% 7.46/7.65 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #24: unsound, references = 3, size of lhs = 3:
% 7.46/7.65 P_complement-{F}(V0,V1), P_complement-{F}(V0,V3), V1 == V3 | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #25: unsound, references = 3, size of lhs = 3:
% 7.46/7.65 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #26: unsound, references = 3, size of lhs = 3:
% 7.46/7.65 P_composition-{F}(V0,V1,V2), P_composition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #27: unsound, references = 3, size of lhs = 3:
% 7.46/7.65 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #28: unsound, references = 3, size of lhs = 3:
% 7.46/7.65 P_converse-{F}(V0,V1), P_converse-{F}(V0,V3), V1 == V3 | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #29: unsound, references = 3, size of lhs = 3:
% 7.46/7.65 P_top-{F}(V0), P_top-{F}(V1), V0 == V1 | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #30: unsound, references = 3, size of lhs = 3:
% 7.46/7.65 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #31: unsound, references = 3, size of lhs = 3:
% 7.46/7.65 P_sk1-{F}(V0), P_sk1-{F}(V1), V0 == V1 | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 number of simplifiers = 9
% 7.46/7.65
% 7.46/7.65 Learnt:
% 7.46/7.65 #33: exists( #14, #11 ), references = 27, size of lhs = 3:
% 7.46/7.65 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V2,V3) | P_join-{T}(V2,V3,V1)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #37: exists( #15, #3 ), references = 24, size of lhs = 4:
% 7.46/7.65 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)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #43: exists( #16, #12 ), references = 3, size of lhs = 4:
% 7.46/7.65 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_complement-{F}(V3,V4) | P_meet-{T}(V3,V4,V2)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #55: exists( #19, #9 ), references = 3, size of lhs = 5:
% 7.46/7.65 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)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #57: exists( #14, #0 ), references = 64, size of lhs = 1:
% 7.46/7.65 P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #60: exists( #19, #8 ), references = 2, size of lhs = 5:
% 7.46/7.65 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)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #64: exists( #14, #1 ), references = 30, size of lhs = 3:
% 7.46/7.65 P_join-{F}(V0,V1,V2), P_join-{F}(V3,V0,V4), P_join-{F}(V4,V1,V5) | P_join-{T}(V3,V2,V5)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #70: exists( #17, #5 ), references = 37, size of lhs = 2:
% 7.46/7.65 P_one-{F}(V0), #-{F} V1 | P_composition-{T}(V1,V0,V1)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #75: exists( #19, #7 ), references = 33, size of lhs = 2:
% 7.46/7.65 P_one-{F}(V0), P_converse-{F}(V1,V2) | P_converse-{T}(V2,V1)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #84: mergings( V2 == V3, V0 == V4; #81 ), references = 1, size of lhs = 4:
% 7.46/7.65 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_complement-{F}(V3,V1) | P_complement-{T}(V1,V2)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #90: exists( #14, #88 ), references = 5, size of lhs = 9:
% 7.46/7.65 P_complement-{F}(V0,V1), P_complement-{F}(V2,V1), P_meet-{F}(V0,V3,V4), P_complement-{F}(V3,V5), P_complement-{F}(V6,V5), P_join-{F}(V1,V6,V7), P_complement-{F}(V7,V8), P_join-{F}(V4,V8,V9), V2 == V9 | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #100: exists( #14, #95 ), references = 1, size of lhs = 6:
% 7.46/7.65 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V2,V3), P_join-{F}(V4,V3,V3), P_meet-{F}(V2,V5,V4), P_complement-{F}(V5,V6) | P_join-{T}(V3,V6,V1)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #101: exists( #14, #97 ), references = 1, size of lhs = 7:
% 7.46/7.65 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V2,V3), P_join-{F}(V4,V3,V3), P_join-{F}(V4,V4,V5), P_meet-{F}(V2,V6,V5), P_complement-{F}(V6,V7) | P_join-{T}(V3,V7,V1)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #111: exists( #16, #3 ), references = 4, size of lhs = 4:
% 7.46/7.65 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)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #113: exists( #17, #9 ), references = 52, size of lhs = 5:
% 7.46/7.65 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)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #117: mergings( V2 == V3; #115 ), references = 2, size of lhs = 9:
% 7.46/7.65 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
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #120: mergings( V3 == V4; #118 ), references = 24, size of lhs = 7:
% 7.46/7.65 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)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #129: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #124 ), references = 2, size of lhs = 7:
% 7.46/7.65 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_complement-{F}(V4,V3), P_composition-{F}(V0,V4,V5), P_complement-{F}(V5,V2) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #132: exists( #14, #8 ), references = 9, size of lhs = 5:
% 7.46/7.65 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)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #182: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V20 == V22; #175 ), references = 1, size of lhs = 18:
% 7.46/7.65 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V2,V2), P_converse-{F}(V3,V3), P_join-{F}(V4,V3,V3), P_join-{F}(V5,V4,V2), P_complement-{F}(V6,V7), P_join-{F}(V7,V8,V3), P_join-{F}(V8,V5,V9), P_complement-{F}(V10,V9), P_meet-{F}(V6,V10,V11), P_converse-{F}(V12,V11), P_composition-{F}(V12,V1,V13), P_converse-{F}(V13,V14), P_converse-{F}(V14,V15), P_converse-{F}(V11,V16), P_join-{F}(V15,V16,V17), V16 == V17 | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #188: mergings( V0 == V2, V2 == V3; #185 ), references = 1, size of lhs = 1:
% 7.46/7.65 P_one-{F}(V0) | P_converse-{T}(V0,V0)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #190: exists( #14, #6 ), references = 7, size of lhs = 5:
% 7.46/7.65 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)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #203: mergings( V9 == V11, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #196 ), references = 1, size of lhs = 9:
% 7.46/7.65 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V2), P_converse-{F}(V0,V3), P_complement-{F}(V2,V3), P_converse-{F}(V4,V3), P_composition-{F}(V4,V3,V5), P_converse-{F}(V5,V3) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #219: exists( #15, #217 ), references = 1, size of lhs = 6:
% 7.46/7.65 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
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #224: mergings( V2 == V5, V3 == V0; #221 ), references = 2, size of lhs = 3:
% 7.46/7.65 P_zero-{F}(V0), P_one-{F}(V1), P_top-{F}(V2) | P_complement-{T}(V2,V0)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #271: mergings( V2 == V4, V5 == V6; #266 ), references = 2, size of lhs = 6:
% 7.46/7.65 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V0,V2), V0 == V2, P_converse-{F}(V2,V0), P_join-{F}(V2,V3,V3) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #275: mergings( V2 == V4, V5 == V6, V7 == V9; #267 ), references = 1, size of lhs = 7:
% 7.46/7.65 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V0,V2), P_converse-{F}(V3,V0), V0 == V3, P_join-{F}(V3,V4,V4), P_join-{F}(V2,V5,V3) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #279: mergings( V2 == V4, V4 == V5, V3 == V6; #268 ), references = 1, size of lhs = 7:
% 7.46/7.65 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_converse-{F}(V3,V2), P_sk1-{F}(V4), P_converse-{F}(V1,V4), P_join-{F}(V3,V5,V5) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #291: mergings( V2 == V3, V3 == V4, V4 == V5; #286 ), references = 3, size of lhs = 3:
% 7.46/7.65 P_top-{F}(V0), P_join-{F}(V0,V0,V0), P_one-{F}(V1) | P_converse-{T}(V0,V0)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #322: mergings( V2 == V3, V3 == V4; #317 ), references = 4, size of lhs = 8:
% 7.46/7.65 P_one-{F}(V0), P_complement-{F}(V1,V2), P_composition-{F}(V0,V1,V3), P_complement-{F}(V3,V4), P_join-{F}(V5,V2,V6), P_join-{F}(V5,V4,V7), P_join-{F}(V7,V2,V8), V6 == V8 | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #330: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7; #325 ), references = 1, size of lhs = 8:
% 7.46/7.65 P_top-{F}(V0), P_one-{F}(V1), P_composition-{F}(V1,V2,V2), P_converse-{F}(V3,V0), P_converse-{F}(V4,V5), P_composition-{F}(V4,V6,V3), P_composition-{F}(V6,V2,V7), P_complement-{F}(V7,V5) | P_complement-{T}(V2,V0)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #348: exists( #14, #346 ), references = 3, size of lhs = 8:
% 7.46/7.65 P_one-{F}(V0), P_complement-{F}(V1,V2), P_composition-{F}(V0,V1,V3), P_complement-{F}(V3,V2), P_join-{F}(V2,V4,V5), P_join-{F}(V5,V6,V7), P_join-{F}(V7,V2,V8), V7 == V8 | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #353: exists( #14, #351 ), references = 15, size of lhs = 7:
% 7.46/7.65 P_one-{F}(V0), P_complement-{F}(V1,V2), P_composition-{F}(V0,V1,V3), P_complement-{F}(V3,V2), P_join-{F}(V2,V4,V5), P_join-{F}(V2,V6,V7), P_join-{F}(V5,V7,V8) | P_join-{T}(V7,V4,V8)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #363: mergings( V2 == V4, V4 == V5, V5 == V6; #359 ), references = 1, size of lhs = 13:
% 7.46/7.65 P_top-{F}(V0), P_one-{F}(V1), P_join-{F}(V0,V0,V2), P_composition-{F}(V1,V3,V3), P_composition-{F}(V3,V4,V0), P_composition-{F}(V0,V4,V5), P_composition-{F}(V2,V4,V6), V6 == V0, P_converse-{F}(V7,V5), P_converse-{F}(V8,V9), P_composition-{F}(V8,V10,V7), P_composition-{F}(V10,V3,V11), P_complement-{F}(V11,V9) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #371: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V1 == V9; #365 ), references = 1, size of lhs = 9:
% 7.46/7.65 P_top-{F}(V0), P_join-{F}(V0,V0,V0), P_one-{F}(V1), P_composition-{F}(V1,V2,V2), P_converse-{F}(V0,V3), P_composition-{F}(V2,V3,V0), P_converse-{F}(V3,V0), P_composition-{F}(V3,V2,V4), P_complement-{F}(V4,V3) | P_composition-{T}(V0,V3,V0)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #395: mergings( V8 == V7, V2 == V3, V3 == V4, V4 == V5; #390 ), references = 1, size of lhs = 6:
% 7.46/7.65 P_one-{F}(V0), P_converse-{F}(V0,V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V2), P_complement-{F}(V3,V2) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #427: mergings( V0 == V9, V2 == V4, V4 == V5; #423 ), references = 2, size of lhs = 8:
% 7.46/7.65 P_top-{F}(V0), P_one-{F}(V1), P_join-{F}(V0,V0,V2), P_composition-{F}(V1,V3,V3), V3 == V2, P_join-{F}(V4,V3,V3), P_composition-{F}(V4,V5,V0), P_composition-{F}(V0,V5,V3) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #453: mergings( V2 == V4, V4 == V5, V5 == V7, V3 == V6, V6 == V8; #447 ), references = 1, size of lhs = 10:
% 7.46/7.65 P_top-{F}(V0), P_join-{F}(V0,V0,V0), P_one-{F}(V1), P_composition-{F}(V1,V2,V2), P_composition-{F}(V2,V3,V0), P_composition-{F}(V0,V3,V4), V4 == V0, P_composition-{F}(V1,V4,V4), P_composition-{F}(V2,V5,V0), P_composition-{F}(V0,V5,V4) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #465: mergings( V0 == V10, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #457 ), references = 2, size of lhs = 8:
% 7.46/7.65 P_top-{F}(V0), P_join-{F}(V0,V0,V0), P_one-{F}(V1), P_converse-{F}(V1,V1), P_composition-{F}(V1,V2,V2), P_converse-{F}(V0,V3), P_composition-{F}(V2,V3,V0), P_converse-{F}(V3,V0) | P_composition-{T}(V0,V3,V0)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #473: exists( #14, #2 ), references = 15, size of lhs = 6:
% 7.46/7.65 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)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #486: mergings( V8 == V10, V2 == V3, V3 == V4, V4 == V5; #480 ), references = 3, size of lhs = 7:
% 7.46/7.65 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
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #491: mergings( V7 == V11, V2 == V3, V3 == V4, V4 == V5; #481 ), references = 3, size of lhs = 8:
% 7.46/7.65 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
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #499: exists( #15, #497 ), references = 3, size of lhs = 10:
% 7.46/7.65 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V1,V2), P_complement-{F}(V3,V2), P_join-{F}(V1,V4,V5), P_complement-{F}(V5,V6), P_complement-{F}(V7,V6), P_meet-{F}(V3,V7,V8), P_complement-{F}(V9,V10), P_join-{F}(V10,V4,V9) | P_complement-{T}(V10,V8)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #506: exists( #14, #486 ), references = 1, size of lhs = 5:
% 7.46/7.65 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-{T}(V5,V4,V4)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #507: exists( #14, #491 ), references = 2, size of lhs = 6:
% 7.46/7.65 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)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #515: mergings( V4 == V7, V0 == V6; #512 ), references = 1, size of lhs = 8:
% 7.46/7.65 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V1,V2), P_complement-{F}(V2,V3), P_join-{F}(V3,V3,V3), P_complement-{F}(V4,V3), P_join-{F}(V2,V3,V5), V3 == V5 | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #533: exists( #16, #529 ), references = 1, size of lhs = 11:
% 7.46/7.65 P_complement-{F}(V0,V1), P_complement-{F}(V2,V3), P_join-{F}(V1,V3,V4), P_complement-{F}(V5,V6), P_join-{F}(V6,V7,V4), P_complement-{F}(V8,V7), P_join-{F}(V6,V8,V9), P_complement-{F}(V9,V10), P_join-{F}(V10,V11,V10), P_join-{F}(V5,V11,V12), V5 == V12 | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #534: exists( #16, #530 ), references = 3, size of lhs = 14:
% 7.46/7.65 P_one-{F}(V0), P_complement-{F}(V1,V2), P_complement-{F}(V3,V4), P_join-{F}(V2,V4,V5), P_complement-{F}(V6,V7), P_join-{F}(V7,V8,V5), P_complement-{F}(V9,V8), P_join-{F}(V7,V9,V10), P_complement-{F}(V10,V11), P_complement-{F}(V12,V11), P_composition-{F}(V0,V12,V13), P_complement-{F}(V13,V11), P_join-{F}(V6,V11,V14), V6 == V14 | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #545: mergings( V3 == V4; #543 ), references = 20, size of lhs = 7:
% 7.46/7.65 P_one-{F}(V0), P_converse-{F}(V1,V2), P_join-{F}(V3,V2,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)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #591: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #583 ), references = 1, size of lhs = 19:
% 7.46/7.65 P_one-{F}(V0), P_converse-{F}(V0,V1), P_join-{F}(V1,V2,V2), P_converse-{F}(V3,V2), P_converse-{F}(V2,V4), P_complement-{F}(V5,V6), P_composition-{F}(V3,V5,V7), P_complement-{F}(V7,V6), P_complement-{F}(V8,V6), P_complement-{F}(V9,V6), P_complement-{F}(V10,V6), P_composition-{F}(V4,V11,V10), P_complement-{F}(V11,V12), P_meet-{F}(V8,V13,V12), P_complement-{F}(V13,V12), P_complement-{F}(V14,V12), V14 == V12, P_join-{F}(V12,V9,V15), P_complement-{F}(V15,V6) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #597: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #584 ), references = 2, size of lhs = 22:
% 7.46/7.65 P_one-{F}(V0), P_converse-{F}(V0,V1), P_join-{F}(V1,V2,V2), P_converse-{F}(V3,V2), P_converse-{F}(V2,V4), P_complement-{F}(V5,V6), P_composition-{F}(V3,V5,V7), P_complement-{F}(V7,V6), P_complement-{F}(V8,V6), P_complement-{F}(V9,V6), P_composition-{F}(V4,V10,V9), P_complement-{F}(V10,V11), P_complement-{F}(V12,V11), P_meet-{F}(V8,V12,V13), P_complement-{F}(V14,V13), P_complement-{F}(V15,V16), P_complement-{F}(V17,V16), P_meet-{F}(V15,V11,V18), P_join-{F}(V16,V14,V19), P_complement-{F}(V19,V20), P_join-{F}(V18,V20,V21), V17 == V21 | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #604: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #585 ), references = 1, size of lhs = 25:
% 7.46/7.65 P_one-{F}(V0), P_converse-{F}(V0,V1), P_join-{F}(V1,V2,V2), P_converse-{F}(V3,V2), P_converse-{F}(V2,V4), P_complement-{F}(V5,V6), P_composition-{F}(V3,V5,V7), P_complement-{F}(V7,V6), P_complement-{F}(V8,V6), P_complement-{F}(V6,V9), P_complement-{F}(V10,V6), P_composition-{F}(V4,V11,V10), P_complement-{F}(V11,V12), P_complement-{F}(V13,V12), P_meet-{F}(V8,V13,V14), P_complement-{F}(V15,V14), P_composition-{F}(V0,V15,V16), P_complement-{F}(V16,V14), P_complement-{F}(V17,V12), P_join-{F}(V12,V9,V18), P_join-{F}(V17,V14,V19), V17 == V19, P_complement-{F}(V20,V21), P_join-{F}(V21,V22,V18), P_complement-{F}(V23,V22) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #656: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #648 ), references = 3, size of lhs = 19:
% 7.46/7.65 P_one-{F}(V0), P_converse-{F}(V0,V1), P_join-{F}(V1,V2,V2), P_converse-{F}(V3,V2), P_converse-{F}(V2,V4), P_complement-{F}(V5,V6), P_composition-{F}(V3,V5,V7), P_complement-{F}(V7,V6), P_complement-{F}(V8,V6), P_composition-{F}(V4,V9,V8), P_complement-{F}(V9,V10), P_complement-{F}(V11,V6), P_complement-{F}(V12,V13), P_complement-{F}(V14,V13), V14 == V10, P_meet-{F}(V12,V15,V10), P_complement-{F}(V15,V16), P_complement-{F}(V17,V16), P_join-{F}(V13,V17,V11) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #666: mergings( V17 == V19, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V9 == V10, V11 == V14; #649 ), references = 1, size of lhs = 24:
% 7.46/7.65 P_one-{F}(V0), P_converse-{F}(V0,V1), P_join-{F}(V1,V2,V2), P_converse-{F}(V2,V3), P_join-{F}(V1,V3,V3), P_converse-{F}(V3,V2), P_converse-{F}(V4,V3), P_complement-{F}(V5,V6), P_composition-{F}(V4,V5,V7), P_complement-{F}(V7,V6), P_complement-{F}(V6,V8), P_complement-{F}(V9,V8), P_complement-{F}(V10,V8), P_meet-{F}(V9,V10,V11), P_complement-{F}(V12,V11), P_complement-{F}(V13,V6), P_composition-{F}(V2,V14,V13), P_complement-{F}(V14,V15), P_meet-{F}(V16,V8,V15), P_complement-{F}(V16,V17), P_join-{F}(V17,V12,V18), P_complement-{F}(V18,V6), P_complement-{F}(V19,V17), V19 == V15 | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #672: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #650 ), references = 1, size of lhs = 18:
% 7.46/7.65 P_one-{F}(V0), P_converse-{F}(V0,V1), P_join-{F}(V1,V2,V2), P_converse-{F}(V3,V2), P_converse-{F}(V2,V4), P_complement-{F}(V5,V6), P_composition-{F}(V3,V5,V7), P_complement-{F}(V7,V6), P_complement-{F}(V8,V6), P_complement-{F}(V9,V6), P_complement-{F}(V10,V6), P_composition-{F}(V4,V11,V10), P_complement-{F}(V11,V12), P_complement-{F}(V13,V12), P_meet-{F}(V8,V13,V14), P_complement-{F}(V15,V12), P_meet-{F}(V15,V9,V16), V16 == V14 | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #679: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #673 ), references = 1, size of lhs = 16:
% 7.46/7.65 P_one-{F}(V0), P_converse-{F}(V0,V1), P_join-{F}(V1,V2,V2), P_converse-{F}(V3,V2), P_converse-{F}(V2,V4), P_complement-{F}(V5,V6), P_composition-{F}(V3,V5,V7), P_complement-{F}(V7,V6), P_complement-{F}(V8,V6), P_complement-{F}(V9,V6), P_complement-{F}(V10,V6), P_composition-{F}(V4,V11,V10), P_complement-{F}(V11,V12), P_complement-{F}(V13,V12), P_meet-{F}(V8,V13,V14), P_complement-{F}(V15,V12) | P_meet-{T}(V15,V9,V14)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #711: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #704 ), references = 1, size of lhs = 21:
% 7.46/7.65 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_complement-{F}(V3,V4), P_complement-{F}(V5,V4), P_complement-{F}(V6,V4), P_meet-{F}(V7,V6,V3), P_complement-{F}(V7,V8), P_complement-{F}(V9,V8), P_join-{F}(V4,V9,V10), P_complement-{F}(V10,V2), P_complement-{F}(V11,V8), P_converse-{F}(V0,V12), P_join-{F}(V12,V13,V13), P_converse-{F}(V14,V13), P_composition-{F}(V14,V11,V15), P_complement-{F}(V15,V8), P_converse-{F}(V13,V16), P_composition-{F}(V16,V5,V17), P_complement-{F}(V17,V8) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #743: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #736 ), references = 1, size of lhs = 22:
% 7.46/7.65 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_complement-{F}(V3,V4), P_complement-{F}(V5,V4), P_complement-{F}(V6,V4), P_converse-{F}(V0,V7), P_join-{F}(V2,V8,V8), P_complement-{F}(V9,V8), P_join-{F}(V4,V10,V9), P_complement-{F}(V10,V11), P_complement-{F}(V12,V11), P_meet-{F}(V12,V6,V13), P_complement-{F}(V14,V11), P_join-{F}(V7,V15,V15), P_converse-{F}(V16,V15), P_composition-{F}(V16,V14,V17), P_complement-{F}(V17,V11), P_converse-{F}(V15,V18), P_composition-{F}(V18,V5,V19), P_complement-{F}(V19,V11) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #751: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #744 ), references = 1, size of lhs = 21:
% 7.46/7.65 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_complement-{F}(V3,V4), P_complement-{F}(V5,V4), P_complement-{F}(V6,V4), P_converse-{F}(V0,V7), P_join-{F}(V2,V8,V8), P_complement-{F}(V9,V8), P_join-{F}(V4,V10,V9), P_complement-{F}(V10,V11), P_complement-{F}(V12,V11), P_complement-{F}(V13,V11), P_join-{F}(V7,V14,V14), P_converse-{F}(V15,V14), P_composition-{F}(V15,V13,V16), P_complement-{F}(V16,V11), P_converse-{F}(V14,V17), P_composition-{F}(V17,V5,V18), P_complement-{F}(V18,V11) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #769: mergings( V3 == V14, V15 == V19, V2 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V14 == V12; #757 ), references = 2, size of lhs = 17:
% 7.46/7.65 P_one-{F}(V0), P_top-{F}(V1), P_join-{F}(V1,V1,V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_converse-{F}(V0,V3), P_composition-{F}(V0,V3,V3), P_converse-{F}(V4,V1), P_converse-{F}(V1,V5), P_composition-{F}(V5,V3,V6), P_complement-{F}(V6,V7), P_join-{F}(V2,V7,V7), P_complement-{F}(V1,V7), P_complement-{F}(V8,V7), P_complement-{F}(V9,V7), P_composition-{F}(V4,V9,V10), P_complement-{F}(V10,V7) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #784: mergings( V3 == V6, V6 == V8, V4 == V7, V5 == V10, V7 == V9, V10 == V15; #777 ), references = 1, size of lhs = 26:
% 7.46/7.65 P_one-{F}(V0), P_top-{F}(V1), P_join-{F}(V1,V1,V1), P_zero-{F}(V2), P_complement-{F}(V1,V2), P_complement-{F}(V3,V2), P_sk1-{F}(V4), P_converse-{F}(V0,V4), P_composition-{F}(V0,V4,V4), P_converse-{F}(V5,V1), P_converse-{F}(V1,V6), P_composition-{F}(V6,V4,V7), P_complement-{F}(V7,V2), P_complement-{F}(V8,V2), P_complement-{F}(V9,V2), P_composition-{F}(V5,V9,V10), P_complement-{F}(V10,V2), P_complement-{F}(V11,V2), P_join-{F}(V2,V12,V11), P_join-{F}(V1,V12,V13), P_complement-{F}(V13,V14), P_complement-{F}(V15,V14), P_complement-{F}(V16,V2), P_join-{F}(V2,V17,V16), P_join-{F}(V1,V17,V18), P_complement-{F}(V18,V2) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #809: mergings( V3 == V5, V5 == V6; #805 ), references = 1, size of lhs = 11:
% 7.46/7.65 P_top-{F}(V0), P_one-{F}(V1), P_join-{F}(V0,V0,V2), V2 == V0, P_composition-{F}(V1,V2,V2), P_complement-{F}(V3,V2), P_composition-{F}(V1,V3,V4), P_complement-{F}(V4,V2), P_complement-{F}(V5,V6), P_join-{F}(V6,V7,V2), P_complement-{F}(V8,V7) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #812: mergings( V3 == V5, V5 == V6; #806 ), references = 2, size of lhs = 12:
% 7.46/7.65 P_top-{F}(V0), P_one-{F}(V1), P_join-{F}(V0,V0,V2), V0 == V2, P_join-{F}(V0,V3,V0), P_composition-{F}(V1,V4,V4), P_complement-{F}(V5,V4), P_composition-{F}(V1,V5,V6), P_complement-{F}(V6,V4), P_complement-{F}(V7,V8), P_join-{F}(V8,V9,V4), P_complement-{F}(V10,V9) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #841: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V7; #834 ), references = 1, size of lhs = 12:
% 7.46/7.65 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V1), P_join-{F}(V0,V0,V2), V0 == V2, P_join-{F}(V0,V3,V0), P_complement-{F}(V4,V5), P_complement-{F}(V6,V5), P_composition-{F}(V1,V6,V7), P_complement-{F}(V7,V5), P_complement-{F}(V8,V5), P_complement-{F}(V9,V5) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #847: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #842 ), references = 5, size of lhs = 10:
% 7.46/7.65 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V1), P_join-{F}(V0,V2,V0), P_complement-{F}(V3,V4), P_complement-{F}(V5,V4), P_composition-{F}(V1,V5,V6), P_complement-{F}(V6,V4), P_complement-{F}(V7,V4), P_complement-{F}(V8,V4) | P_join-{T}(V0,V0,V0)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #879: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V8; #871 ), references = 1, size of lhs = 8:
% 7.46/7.65 P_top-{F}(V0), P_join-{F}(V0,V1,V0), P_one-{F}(V2), P_converse-{F}(V2,V2), P_complement-{F}(V0,V3), P_complement-{F}(V4,V3), P_complement-{F}(V5,V3), P_complement-{F}(V6,V3) | P_converse-{T}(V0,V0)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #885: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V8; #872 ), references = 1, size of lhs = 8:
% 7.46/7.65 P_top-{F}(V0), P_join-{F}(V0,V1,V0), P_one-{F}(V2), P_converse-{F}(V2,V2), P_complement-{F}(V0,V3), P_complement-{F}(V4,V3), P_complement-{F}(V5,V3), P_complement-{F}(V6,V3) | P_converse-{T}(V0,V0)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #892: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V8, V8 == V9; #873 ), references = 1, size of lhs = 8:
% 7.46/7.65 P_top-{F}(V0), P_join-{F}(V0,V1,V0), P_one-{F}(V2), P_converse-{F}(V2,V2), P_complement-{F}(V0,V3), P_complement-{F}(V4,V3), P_complement-{F}(V5,V3), P_complement-{F}(V6,V3) | P_converse-{T}(V0,V0)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #921: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #914 ), references = 1, size of lhs = 14:
% 7.46/7.65 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_complement-{F}(V4,V3), P_complement-{F}(V5,V2), P_converse-{F}(V0,V6), P_join-{F}(V6,V7,V7), P_converse-{F}(V8,V7), P_composition-{F}(V8,V5,V9), P_complement-{F}(V9,V2), P_converse-{F}(V7,V10), P_composition-{F}(V10,V4,V11), P_complement-{F}(V11,V2) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #968: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #961 ), references = 1, size of lhs = 23:
% 7.46/7.65 P_one-{F}(V0), P_converse-{F}(V0,V1), P_join-{F}(V1,V2,V2), P_converse-{F}(V3,V2), P_converse-{F}(V2,V4), P_complement-{F}(V5,V6), P_composition-{F}(V3,V5,V7), P_complement-{F}(V7,V6), P_complement-{F}(V8,V6), P_complement-{F}(V9,V6), P_complement-{F}(V10,V6), P_composition-{F}(V4,V11,V10), P_complement-{F}(V11,V12), P_complement-{F}(V13,V12), P_meet-{F}(V8,V13,V14), P_complement-{F}(V15,V12), V14 == V15, P_join-{F}(V15,V16,V14), P_join-{F}(V12,V9,V17), P_complement-{F}(V17,V18), P_complement-{F}(V19,V18), P_composition-{F}(V0,V19,V20), P_complement-{F}(V20,V18) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #1015: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #1007 ), references = 1, size of lhs = 25:
% 7.46/7.65 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_complement-{F}(V4,V2), P_composition-{F}(V0,V4,V5), P_complement-{F}(V5,V2), P_join-{F}(V6,V6,V3), P_complement-{F}(V6,V7), P_complement-{F}(V8,V7), P_complement-{F}(V9,V7), P_converse-{F}(V0,V10), P_complement-{F}(V11,V2), P_join-{F}(V7,V12,V11), P_complement-{F}(V12,V13), P_complement-{F}(V14,V13), P_meet-{F}(V14,V9,V15), P_complement-{F}(V16,V13), P_join-{F}(V10,V17,V17), P_converse-{F}(V18,V17), P_composition-{F}(V18,V16,V19), P_complement-{F}(V19,V13), P_converse-{F}(V17,V20), P_composition-{F}(V20,V8,V21), P_complement-{F}(V21,V13) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #1024: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #1016 ), references = 1, size of lhs = 24:
% 7.46/7.65 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_complement-{F}(V4,V2), P_composition-{F}(V0,V4,V5), P_complement-{F}(V5,V2), P_join-{F}(V6,V6,V3), P_complement-{F}(V6,V7), P_complement-{F}(V8,V7), P_complement-{F}(V9,V7), P_converse-{F}(V0,V10), P_complement-{F}(V11,V2), P_join-{F}(V7,V12,V11), P_complement-{F}(V12,V13), P_complement-{F}(V14,V13), P_complement-{F}(V15,V13), P_join-{F}(V10,V16,V16), P_converse-{F}(V17,V16), P_composition-{F}(V17,V15,V18), P_complement-{F}(V18,V13), P_converse-{F}(V16,V19), P_composition-{F}(V19,V8,V20), P_complement-{F}(V20,V13) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #1074: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V9 == V11; #1064 ), references = 1, size of lhs = 18:
% 7.46/7.65 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V2), P_join-{F}(V1,V3,V3), P_converse-{F}(V4,V3), P_converse-{F}(V3,V5), P_complement-{F}(V6,V7), P_composition-{F}(V4,V6,V8), P_complement-{F}(V8,V7), P_complement-{F}(V9,V7), P_complement-{F}(V10,V7), P_composition-{F}(V5,V11,V10), P_complement-{F}(V11,V12), P_complement-{F}(V13,V12), P_meet-{F}(V9,V13,V14), P_composition-{F}(V2,V14,V15), P_join-{F}(V15,V14,V16), V16 == V14 | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #1082: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V9 == V10; #1065 ), references = 1, size of lhs = 19:
% 7.46/7.65 P_one-{F}(V0), P_converse-{F}(V0,V1), P_join-{F}(V1,V2,V2), P_converse-{F}(V3,V2), P_converse-{F}(V2,V4), P_complement-{F}(V5,V6), P_composition-{F}(V3,V5,V7), P_complement-{F}(V7,V6), P_complement-{F}(V8,V6), P_complement-{F}(V9,V6), P_composition-{F}(V4,V10,V9), P_complement-{F}(V10,V11), P_complement-{F}(V12,V11), P_meet-{F}(V8,V12,V13), P_converse-{F}(V14,V13), P_composition-{F}(V14,V1,V15), P_converse-{F}(V15,V16), P_join-{F}(V16,V13,V17), V17 == V13 | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #1088: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1066 ), references = 1, size of lhs = 20:
% 7.46/7.65 P_one-{F}(V0), P_converse-{F}(V0,V1), P_join-{F}(V1,V2,V2), P_converse-{F}(V3,V2), P_converse-{F}(V2,V4), P_complement-{F}(V5,V6), P_composition-{F}(V3,V5,V7), P_complement-{F}(V7,V6), P_complement-{F}(V8,V6), P_complement-{F}(V9,V6), P_composition-{F}(V4,V10,V9), P_complement-{F}(V10,V11), P_complement-{F}(V12,V11), P_meet-{F}(V8,V12,V13), P_join-{F}(V13,V13,V14), P_complement-{F}(V14,V15), P_join-{F}(V13,V11,V16), P_complement-{F}(V16,V17), P_join-{F}(V15,V17,V18), V11 == V18 | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #1182: mergings( V25 == V27, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V11, V12 == V15; #1169 ), references = 1, size of lhs = 36:
% 7.46/7.65 P_top-{F}(V0), P_one-{F}(V1), P_complement-{F}(V0,V2), P_complement-{F}(V3,V2), P_converse-{F}(V1,V4), P_join-{F}(V4,V5,V5), P_converse-{F}(V6,V5), P_converse-{F}(V5,V7), P_composition-{F}(V7,V3,V8), P_complement-{F}(V8,V9), P_complement-{F}(V10,V9), P_composition-{F}(V6,V10,V11), P_complement-{F}(V11,V9), P_complement-{F}(V12,V9), P_join-{F}(V13,V13,V12), P_complement-{F}(V13,V14), V14 == V2, P_complement-{F}(V15,V14), P_complement-{F}(V16,V14), P_complement-{F}(V17,V14), P_join-{F}(V4,V18,V18), P_converse-{F}(V19,V18), P_converse-{F}(V18,V20), P_composition-{F}(V20,V15,V21), P_complement-{F}(V21,V22), P_complement-{F}(V23,V22), P_composition-{F}(V19,V23,V24), P_complement-{F}(V24,V22), P_complement-{F}(V25,V22), P_join-{F}(V14,V25,V26), P_complement-{F}(V26,V27), P_complement-{F}(V28,V27), P_composition-{F}(V1,V28,V29), P_complement-{F}(V29,V27), P_complement-{F}(V30,V22), P_meet-{F}(V30,V17,V31) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #1190: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V10; #1170 ), references = 1, size of lhs = 27:
% 7.46/7.65 P_top-{F}(V0), P_one-{F}(V1), P_complement-{F}(V0,V2), P_converse-{F}(V1,V3), P_join-{F}(V3,V4,V4), P_converse-{F}(V5,V4), P_converse-{F}(V4,V6), P_complement-{F}(V7,V8), P_composition-{F}(V5,V7,V9), P_complement-{F}(V9,V8), P_complement-{F}(V10,V8), P_complement-{F}(V11,V8), P_complement-{F}(V12,V8), P_composition-{F}(V6,V13,V12), P_complement-{F}(V13,V14), P_complement-{F}(V15,V14), P_meet-{F}(V10,V15,V16), P_complement-{F}(V17,V14), P_join-{F}(V17,V17,V18), P_complement-{F}(V18,V19), P_join-{F}(V2,V19,V20), V14 == V20, P_join-{F}(V14,V11,V21), P_complement-{F}(V21,V22), P_complement-{F}(V23,V22), P_composition-{F}(V1,V23,V24), P_complement-{F}(V24,V22) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #1199: mergings( V22 == V26, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V10; #1171 ), references = 1, size of lhs = 28:
% 7.46/7.65 P_top-{F}(V0), P_one-{F}(V1), P_complement-{F}(V0,V2), P_converse-{F}(V1,V3), P_join-{F}(V3,V4,V4), P_converse-{F}(V5,V4), P_converse-{F}(V4,V6), P_complement-{F}(V7,V8), P_composition-{F}(V5,V7,V9), P_complement-{F}(V9,V8), P_complement-{F}(V10,V8), P_complement-{F}(V11,V8), P_complement-{F}(V12,V8), P_composition-{F}(V6,V13,V12), P_complement-{F}(V13,V14), P_complement-{F}(V15,V14), P_meet-{F}(V10,V15,V16), P_complement-{F}(V17,V14), P_complement-{F}(V18,V14), P_join-{F}(V18,V18,V19), P_complement-{F}(V19,V20), P_join-{F}(V2,V20,V21), V14 == V21, P_join-{F}(V14,V11,V22), P_complement-{F}(V22,V23), P_complement-{F}(V24,V23), P_composition-{F}(V1,V24,V25), P_complement-{F}(V25,V23) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #1213: mergings( V26 == V28, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V12, V13 == V16; #1200 ), references = 1, size of lhs = 35:
% 7.46/7.65 P_top-{F}(V0), P_one-{F}(V1), P_complement-{F}(V0,V2), P_complement-{F}(V3,V2), P_converse-{F}(V1,V4), P_join-{F}(V4,V5,V5), P_converse-{F}(V6,V5), P_converse-{F}(V5,V7), P_composition-{F}(V7,V3,V8), P_complement-{F}(V8,V9), P_complement-{F}(V10,V9), P_composition-{F}(V6,V10,V11), P_complement-{F}(V11,V9), P_complement-{F}(V12,V9), P_join-{F}(V13,V13,V12), P_complement-{F}(V13,V14), V14 == V2, P_complement-{F}(V15,V14), P_complement-{F}(V16,V14), P_complement-{F}(V17,V14), P_join-{F}(V4,V18,V18), P_converse-{F}(V19,V18), P_converse-{F}(V18,V20), P_composition-{F}(V20,V15,V21), P_complement-{F}(V21,V22), P_complement-{F}(V23,V22), P_composition-{F}(V19,V23,V24), P_complement-{F}(V24,V22), P_complement-{F}(V25,V22), P_join-{F}(V14,V25,V26), P_complement-{F}(V26,V27), P_complement-{F}(V28,V27), P_composition-{F}(V1,V28,V29), P_complement-{F}(V29,V27), P_complement-{F}(V30,V22) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #1221: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V11; #1201 ), references = 1, size of lhs = 26:
% 7.46/7.65 P_top-{F}(V0), P_one-{F}(V1), P_complement-{F}(V0,V2), P_converse-{F}(V1,V3), P_join-{F}(V3,V4,V4), P_converse-{F}(V5,V4), P_converse-{F}(V4,V6), P_complement-{F}(V7,V8), P_composition-{F}(V5,V7,V9), P_complement-{F}(V9,V8), P_complement-{F}(V10,V8), P_complement-{F}(V11,V8), P_complement-{F}(V12,V8), P_composition-{F}(V6,V13,V12), P_complement-{F}(V13,V14), P_complement-{F}(V15,V14), P_complement-{F}(V16,V14), P_join-{F}(V16,V16,V17), P_complement-{F}(V17,V18), P_join-{F}(V2,V18,V19), V14 == V19, P_join-{F}(V14,V11,V20), P_complement-{F}(V20,V21), P_complement-{F}(V22,V21), P_composition-{F}(V1,V22,V23), P_complement-{F}(V23,V21) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #1230: mergings( V23 == V25, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V11; #1202 ), references = 1, size of lhs = 27:
% 7.46/7.65 P_top-{F}(V0), P_one-{F}(V1), P_complement-{F}(V0,V2), P_converse-{F}(V1,V3), P_join-{F}(V3,V4,V4), P_converse-{F}(V5,V4), P_converse-{F}(V4,V6), P_complement-{F}(V7,V8), P_composition-{F}(V5,V7,V9), P_complement-{F}(V9,V8), P_complement-{F}(V10,V8), P_complement-{F}(V11,V8), P_complement-{F}(V12,V8), P_composition-{F}(V6,V13,V12), P_complement-{F}(V13,V14), P_complement-{F}(V15,V14), P_complement-{F}(V16,V14), P_complement-{F}(V17,V14), P_join-{F}(V17,V17,V18), P_complement-{F}(V18,V19), P_join-{F}(V2,V19,V20), V14 == V20, P_join-{F}(V14,V11,V21), P_complement-{F}(V21,V22), P_complement-{F}(V23,V22), P_composition-{F}(V1,V23,V24), P_complement-{F}(V24,V22) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #1237: exists( #14, #90 ), references = 2, size of lhs = 7:
% 7.46/7.65 P_complement-{F}(V0,V1), P_complement-{F}(V2,V1), P_meet-{F}(V0,V3,V4), P_complement-{F}(V3,V5), P_complement-{F}(V6,V5), P_join-{F}(V1,V6,V7), P_complement-{F}(V7,V8) | P_join-{T}(V4,V8,V2)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #1256: mergings( V2 == V4; #1252 ), references = 1, size of lhs = 14:
% 7.46/7.65 P_top-{F}(V0), P_one-{F}(V1), P_complement-{F}(V2,V3), P_complement-{F}(V4,V3), P_join-{F}(V5,V6,V3), P_join-{F}(V0,V6,V7), P_join-{F}(V5,V8,V4), P_join-{F}(V0,V8,V9), P_complement-{F}(V9,V10), P_complement-{F}(V11,V10), P_composition-{F}(V1,V11,V12), P_complement-{F}(V12,V10), P_join-{F}(V5,V10,V13), V5 == V13 | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #1259: mergings( V10 == V13, V2 == V4; #1253 ), references = 1, size of lhs = 21:
% 7.46/7.65 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V2), P_join-{F}(V2,V3,V3), P_converse-{F}(V4,V3), P_converse-{F}(V3,V5), P_join-{F}(V0,V6,V7), P_complement-{F}(V7,V8), P_complement-{F}(V9,V8), P_composition-{F}(V5,V9,V10), P_complement-{F}(V10,V11), P_complement-{F}(V12,V11), P_composition-{F}(V4,V12,V13), P_complement-{F}(V13,V11), P_complement-{F}(V14,V11), P_join-{F}(V0,V15,V14), P_join-{F}(V16,V6,V17), V16 == V8, P_complement-{F}(V18,V17), P_join-{F}(V16,V15,V19), P_complement-{F}(V19,V17) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #1260: exists( #15, #1251 ), references = 1, size of lhs = 11:
% 7.46/7.65 P_one-{F}(V0), P_top-{F}(V1), P_join-{F}(V1,V2,V3), P_complement-{F}(V3,V4), P_join-{F}(V5,V2,V6), P_complement-{F}(V7,V6), P_join-{F}(V5,V8,V7), P_join-{F}(V1,V8,V9), P_complement-{F}(V9,V10), P_join-{F}(V4,V10,V11), V5 == V11 | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #1279: mergings( V3 == V4, V4 == V5, V5 == V7; #1273 ), references = 3, size of lhs = 18:
% 7.46/7.65 P_top-{F}(V0), P_one-{F}(V1), P_complement-{F}(V2,V3), P_composition-{F}(V1,V2,V4), P_complement-{F}(V4,V3), P_join-{F}(V0,V3,V5), P_complement-{F}(V6,V3), P_composition-{F}(V1,V6,V7), P_complement-{F}(V7,V3), P_complement-{F}(V8,V3), P_join-{F}(V0,V9,V8), P_join-{F}(V3,V10,V9), P_composition-{F}(V11,V12,V3), P_join-{F}(V11,V13,V14), P_composition-{F}(V14,V12,V15), P_join-{F}(V15,V9,V16), P_complement-{F}(V16,V15), P_complement-{F}(V17,V15) | P_composition-{T}(V13,V12,V15)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #1284: mergings( V27 == V29, V3 == V4, V4 == V5, V5 == V7; #1274 ), references = 1, size of lhs = 26:
% 7.46/7.65 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V2), P_join-{F}(V2,V3,V3), P_converse-{F}(V4,V3), P_converse-{F}(V3,V5), P_complement-{F}(V6,V7), P_composition-{F}(V1,V6,V8), P_complement-{F}(V8,V7), P_join-{F}(V0,V7,V9), P_complement-{F}(V9,V10), P_complement-{F}(V11,V10), P_composition-{F}(V5,V11,V12), P_complement-{F}(V12,V13), P_complement-{F}(V14,V13), P_composition-{F}(V4,V14,V15), P_complement-{F}(V15,V13), P_complement-{F}(V16,V13), P_join-{F}(V0,V17,V16), P_join-{F}(V7,V18,V17), P_composition-{F}(V19,V20,V7), P_join-{F}(V19,V21,V22), P_composition-{F}(V22,V20,V23), P_complement-{F}(V24,V23), P_join-{F}(V23,V17,V25), P_complement-{F}(V25,V23) | P_composition-{T}(V21,V20,V10)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #1287: mergings( V3 == V4, V4 == V5; #1275 ), references = 1, size of lhs = 16:
% 7.46/7.65 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V2,V3), P_composition-{F}(V0,V2,V4), P_complement-{F}(V4,V3), P_join-{F}(V1,V3,V5), P_complement-{F}(V5,V6), P_composition-{F}(V7,V8,V3), P_join-{F}(V7,V9,V10), P_composition-{F}(V10,V8,V11), P_complement-{F}(V12,V11), P_join-{F}(V11,V13,V12), P_join-{F}(V3,V14,V13), P_join-{F}(V1,V13,V15), P_complement-{F}(V15,V16), P_join-{F}(V6,V16,V17) | P_composition-{T}(V9,V8,V17)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #1304: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1298 ), references = 2, size of lhs = 11:
% 7.46/7.65 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_composition-{F}(V3,V4,V3), P_converse-{F}(V4,V5), P_converse-{F}(V6,V2), P_converse-{F}(V7,V6), P_composition-{F}(V3,V8,V7), P_converse-{F}(V8,V9), P_join-{F}(V9,V5,V5) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #1336: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V8, V6 == V9; #1329 ), references = 1, size of lhs = 30:
% 7.46/7.65 P_one-{F}(V0), P_converse-{F}(V0,V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_composition-{F}(V3,V4,V3), P_converse-{F}(V4,V5), P_converse-{F}(V6,V2), P_join-{F}(V7,V5,V5), P_converse-{F}(V8,V7), P_converse-{F}(V9,V6), P_complement-{F}(V10,V9), P_composition-{F}(V11,V8,V9), P_complement-{F}(V12,V9), P_join-{F}(V9,V13,V12), P_join-{F}(V1,V13,V14), P_complement-{F}(V14,V15), P_complement-{F}(V16,V15), P_composition-{F}(V0,V16,V17), P_complement-{F}(V17,V15), P_join-{F}(V1,V15,V18), P_complement-{F}(V19,V15), P_composition-{F}(V0,V19,V20), P_complement-{F}(V20,V15), P_join-{F}(V15,V21,V13), P_composition-{F}(V22,V8,V15), P_join-{F}(V23,V22,V11), P_join-{F}(V24,V3,V23), P_complement-{F}(V25,V24), P_join-{F}(V24,V26,V22) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #1348: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V10, V3 == V8, V8 == V11; #1339 ), references = 2, size of lhs = 27:
% 7.46/7.65 P_one-{F}(V0), P_converse-{F}(V0,V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_composition-{F}(V3,V4,V3), P_converse-{F}(V4,V5), P_join-{F}(V1,V1,V6), P_converse-{F}(V7,V2), P_join-{F}(V8,V5,V5), P_converse-{F}(V9,V8), P_composition-{F}(V6,V9,V10), P_converse-{F}(V10,V7), P_complement-{F}(V11,V10), P_composition-{F}(V1,V9,V12), P_complement-{F}(V13,V12), P_composition-{F}(V0,V13,V14), P_complement-{F}(V14,V12), P_join-{F}(V1,V12,V15), P_complement-{F}(V16,V12), P_composition-{F}(V0,V16,V17), P_complement-{F}(V17,V12), P_complement-{F}(V18,V10), P_join-{F}(V10,V19,V18), P_join-{F}(V1,V19,V20), P_complement-{F}(V20,V12), P_join-{F}(V12,V21,V19) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #1382: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V9; #1375 ), references = 1, size of lhs = 24:
% 7.46/7.65 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V2), P_join-{F}(V2,V3,V3), P_converse-{F}(V4,V3), P_converse-{F}(V5,V3), P_converse-{F}(V6,V3), P_join-{F}(V4,V7,V6), P_complement-{F}(V8,V7), P_composition-{F}(V5,V8,V9), P_complement-{F}(V9,V7), P_complement-{F}(V10,V7), P_composition-{F}(V1,V10,V11), P_complement-{F}(V11,V7), P_join-{F}(V0,V7,V12), P_complement-{F}(V13,V7), P_composition-{F}(V1,V13,V14), P_complement-{F}(V14,V7), P_complement-{F}(V15,V7), P_complement-{F}(V16,V7), P_join-{F}(V0,V17,V16), P_join-{F}(V7,V18,V17), P_join-{F}(V7,V17,V19), P_complement-{F}(V19,V7) | P_converse-{T}(V7,V7)
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #1403: exists( #16, #1400 ), references = 1, size of lhs = 35:
% 7.46/7.65 P_one-{F}(V0), P_converse-{F}(V0,V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_composition-{F}(V3,V4,V3), P_converse-{F}(V4,V5), P_complement-{F}(V5,V6), P_join-{F}(V1,V1,V7), P_converse-{F}(V8,V2), P_converse-{F}(V9,V8), P_composition-{F}(V7,V10,V9), P_converse-{F}(V10,V11), P_complement-{F}(V12,V9), P_composition-{F}(V1,V10,V13), P_complement-{F}(V14,V13), P_composition-{F}(V0,V14,V15), P_complement-{F}(V15,V13), P_join-{F}(V1,V13,V16), P_complement-{F}(V17,V13), P_composition-{F}(V0,V17,V18), P_complement-{F}(V18,V13), P_join-{F}(V11,V19,V19), P_complement-{F}(V20,V19), P_join-{F}(V6,V21,V20), P_complement-{F}(V21,V22), P_join-{F}(V6,V22,V23), P_complement-{F}(V24,V9), P_join-{F}(V9,V25,V24), P_join-{F}(V1,V25,V26), P_complement-{F}(V26,V13), P_join-{F}(V13,V27,V25), P_complement-{F}(V28,V29), P_join-{F}(V29,V30,V23), P_complement-{F}(V31,V30) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #1434: mergings( V17 == V45, V19 == V46, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V0 == V16, V9 == V45, V23 == V37; #1415 ), references = 2, size of lhs = 53:
% 7.46/7.65 P_one-{F}(V0), P_composition-{F}(V0,V0,V0), P_converse-{F}(V0,V0), P_top-{F}(V1), P_join-{F}(V1,V1,V1), P_converse-{F}(V2,V1), P_zero-{F}(V3), P_complement-{F}(V1,V3), P_join-{F}(V3,V3,V3), P_complement-{F}(V4,V3), P_complement-{F}(V5,V3), P_composition-{F}(V0,V5,V6), P_complement-{F}(V6,V3), P_complement-{F}(V7,V3), P_composition-{F}(V0,V7,V8), P_complement-{F}(V8,V3), P_complement-{F}(V9,V3), P_sk1-{F}(V10), P_composition-{F}(V10,V11,V10), P_converse-{F}(V11,V0), P_converse-{F}(V1,V12), P_composition-{F}(V12,V0,V13), P_complement-{F}(V13,V3), P_composition-{F}(V3,V14,V3), P_converse-{F}(V14,V0), P_complement-{F}(V15,V3), P_composition-{F}(V2,V15,V16), P_complement-{F}(V16,V3), P_complement-{F}(V17,V3), P_complement-{F}(V18,V3), P_composition-{F}(V0,V18,V19), P_complement-{F}(V19,V3), P_join-{F}(V1,V3,V20), P_complement-{F}(V21,V3), P_composition-{F}(V0,V21,V22), P_complement-{F}(V22,V3), P_complement-{F}(V23,V3), P_converse-{F}(V24,V1), P_composition-{F}(V24,V4,V25), P_complement-{F}(V25,V3), P_converse-{F}(V26,V1), P_join-{F}(V26,V3,V27), P_converse-{F}(V27,V1), P_complement-{F}(V28,V3), P_join-{F}(V1,V29,V28), P_join-{F}(V3,V30,V29), P_join-{F}(V3,V29,V31), P_complement-{F}(V31,V3), P_complement-{F}(V32,V3), P_join-{F}(V3,V33,V32), P_join-{F}(V1,V33,V34), P_complement-{F}(V34,V3), P_join-{F}(V3,V35,V33) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #1450: mergings( V36 == V39, V37 == V38, V5 == V35, V9 == V35, V42 == V43, V3 == V6, V4 == V7; #1442 ), references = 1, size of lhs = 60:
% 7.46/7.65 P_one-{F}(V0), P_composition-{F}(V0,V0,V0), P_converse-{F}(V0,V0), P_top-{F}(V1), P_join-{F}(V1,V1,V1), P_converse-{F}(V2,V1), P_zero-{F}(V3), P_complement-{F}(V1,V3), P_complement-{F}(V4,V3), P_complement-{F}(V5,V3), P_composition-{F}(V0,V5,V6), P_complement-{F}(V6,V3), P_complement-{F}(V7,V3), P_composition-{F}(V0,V7,V8), P_complement-{F}(V8,V3), P_complement-{F}(V9,V3), P_sk1-{F}(V10), P_composition-{F}(V10,V11,V10), P_converse-{F}(V11,V0), P_converse-{F}(V1,V12), P_composition-{F}(V12,V0,V13), P_complement-{F}(V13,V3), P_composition-{F}(V3,V14,V3), P_converse-{F}(V14,V0), P_complement-{F}(V15,V3), P_composition-{F}(V2,V15,V16), P_complement-{F}(V16,V3), P_complement-{F}(V17,V3), P_complement-{F}(V18,V3), P_composition-{F}(V0,V18,V19), P_complement-{F}(V19,V3), P_join-{F}(V1,V3,V20), P_complement-{F}(V21,V3), P_composition-{F}(V0,V21,V22), P_complement-{F}(V22,V3), P_complement-{F}(V23,V3), P_converse-{F}(V24,V1), P_composition-{F}(V24,V4,V25), P_complement-{F}(V25,V3), P_converse-{F}(V26,V1), P_join-{F}(V26,V3,V27), P_converse-{F}(V27,V1), P_complement-{F}(V28,V3), P_complement-{F}(V29,V3), P_join-{F}(V3,V28,V30), P_complement-{F}(V30,V3), P_join-{F}(V1,V28,V31), P_complement-{F}(V31,V3), P_complement-{F}(V32,V3), P_join-{F}(V3,V33,V32), P_complement-{F}(V33,V34), P_complement-{F}(V35,V34), P_complement-{F}(V36,V3), P_join-{F}(V3,V37,V36), P_join-{F}(V1,V37,V38), P_complement-{F}(V38,V34), P_complement-{F}(V39,V3), P_join-{F}(V3,V40,V39), P_join-{F}(V28,V40,V41), P_complement-{F}(V41,V3) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #1461: mergings( V34 == V37, V35 == V36, V4 == V33, V9 == V33, V40 == V42, V1 == V2, V2 == V6, V3 == V7; #1452 ), references = 1, size of lhs = 57:
% 7.46/7.65 P_one-{F}(V0), P_composition-{F}(V0,V0,V0), P_converse-{F}(V0,V0), P_top-{F}(V1), P_join-{F}(V1,V1,V1), P_converse-{F}(V2,V1), P_zero-{F}(V3), P_complement-{F}(V1,V3), P_complement-{F}(V4,V3), P_complement-{F}(V5,V3), P_composition-{F}(V0,V5,V6), P_complement-{F}(V6,V3), P_complement-{F}(V7,V3), P_composition-{F}(V0,V7,V8), P_complement-{F}(V8,V3), P_complement-{F}(V9,V3), P_converse-{F}(V1,V10), P_composition-{F}(V10,V0,V11), P_complement-{F}(V11,V3), P_composition-{F}(V3,V12,V3), P_converse-{F}(V12,V0), P_complement-{F}(V13,V3), P_composition-{F}(V2,V13,V14), P_complement-{F}(V14,V3), P_complement-{F}(V15,V3), P_complement-{F}(V16,V3), P_composition-{F}(V0,V16,V17), P_complement-{F}(V17,V3), P_join-{F}(V1,V3,V18), P_complement-{F}(V19,V3), P_composition-{F}(V0,V19,V20), P_complement-{F}(V20,V3), P_complement-{F}(V21,V3), P_converse-{F}(V22,V1), P_composition-{F}(V22,V4,V23), P_complement-{F}(V23,V3), P_converse-{F}(V24,V1), P_join-{F}(V24,V3,V25), P_converse-{F}(V25,V1), P_complement-{F}(V26,V3), P_complement-{F}(V27,V3), P_join-{F}(V3,V26,V28), P_complement-{F}(V28,V3), P_join-{F}(V1,V26,V29), P_complement-{F}(V29,V3), P_complement-{F}(V30,V3), P_join-{F}(V3,V31,V30), P_complement-{F}(V31,V32), P_complement-{F}(V33,V32), P_complement-{F}(V34,V3), P_join-{F}(V3,V35,V34), P_join-{F}(V1,V35,V36), P_complement-{F}(V36,V32), P_complement-{F}(V37,V3), P_join-{F}(V3,V38,V37), P_join-{F}(V26,V38,V39), P_complement-{F}(V39,V3) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #1484: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14; #1470 ), references = 2, size of lhs = 7:
% 7.46/7.65 P_one-{F}(V0), P_composition-{F}(V0,V0,V0), P_converse-{F}(V0,V0), P_converse-{F}(V1,V0), P_top-{F}(V2), P_composition-{F}(V2,V1,V2), P_composition-{F}(V2,V0,V2) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #1487: exists( #20, #1485 ), references = 1, size of lhs = 3:
% 7.46/7.65 P_one-{F}(V0), P_composition-{F}(V0,V0,V0), P_converse-{F}(V0,V0) | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 #1491: exists( #18, #1489 ), references = 1, size of lhs = 0:
% 7.46/7.65 FALSE | FALSE
% 7.46/7.65 (used 0 times, uses = {})
% 7.46/7.65
% 7.46/7.65 number of learnt formulas = 99
% 7.46/7.65
% 7.46/7.65
% 7.46/7.65 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.46/7.65
% 7.46/7.65 randbase = 1
%------------------------------------------------------------------------------