TSTP Solution File: REL015+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : REL015+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 06:14:40 EDT 2022
% Result : Theorem 60.49s 60.73s
% Output : Refutation 60.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL015+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n029.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 00:44:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 60.49/60.73 GeoParameters:
% 60.49/60.73
% 60.49/60.73 tptp_input = 1
% 60.49/60.73 tptp_output = 0
% 60.49/60.73 nonempty = 1
% 60.49/60.73 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 60.49/60.73 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 60.49/60.73
% 60.49/60.73
% 60.49/60.73 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 60.49/60.73 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 60.49/60.73
% 60.49/60.73 RuleSystem INPUT:
% 60.49/60.73
% 60.49/60.73 Initial Rules:
% 60.49/60.73 #0: input, references = 6, size of lhs = 3:
% 60.49/60.73 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #1: input, references = 10, size of lhs = 5:
% 60.49/60.73 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
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #2: input, references = 9, size of lhs = 8:
% 60.49/60.73 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
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #3: input, references = 9, size of lhs = 6:
% 60.49/60.73 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
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #4: input, references = 4, size of lhs = 5:
% 60.49/60.73 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
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #5: input, references = 4, size of lhs = 3:
% 60.49/60.73 P_one-{F}(V0), P_composition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #6: input, references = 9, size of lhs = 7:
% 60.49/60.73 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
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #7: input, references = 4, size of lhs = 4:
% 60.49/60.73 P_one-{F}(V0), P_converse-{F}(V1,V2), P_converse-{F}(V2,V3), V3 == V1 | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #8: input, references = 5, size of lhs = 7:
% 60.49/60.73 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
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #9: input, references = 6, size of lhs = 7:
% 60.49/60.73 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
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #10: input, references = 6, size of lhs = 8:
% 60.49/60.73 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
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #11: input, references = 4, size of lhs = 5:
% 60.49/60.73 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V2,V3), P_join-{F}(V2,V3,V4), V1 == V4 | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #12: input, references = 4, size of lhs = 6:
% 60.49/60.73 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
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #13: input, references = 5, size of lhs = 4:
% 60.49/60.73 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_composition-{F}(V1,V1,V1) | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #14: input, references = 15, size of lhs = 2:
% 60.49/60.73 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #15: input, references = 16, size of lhs = 1:
% 60.49/60.73 #-{F} V0 | EXISTS V1: P_complement-{T}(V0,V1)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #16: input, references = 10, size of lhs = 2:
% 60.49/60.73 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #17: input, references = 14, size of lhs = 2:
% 60.49/60.73 #-{F} V0, #-{F} V1 | EXISTS V2: P_composition-{T}(V0,V1,V2)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #18: input, references = 4, size of lhs = 0:
% 60.49/60.73 FALSE | EXISTS V0: P_one-{T}(V0)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #19: input, references = 19, size of lhs = 1:
% 60.49/60.73 #-{F} V0 | EXISTS V1: P_converse-{T}(V0,V1)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #20: input, references = 4, size of lhs = 0:
% 60.49/60.73 FALSE | EXISTS V0: P_top-{T}(V0)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #21: input, references = 5, size of lhs = 0:
% 60.49/60.73 FALSE | EXISTS V0: P_zero-{T}(V0)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 number of initial rules = 22
% 60.49/60.73
% 60.49/60.73 Simplifiers:
% 60.49/60.73 #22: unsound, references = 3, size of lhs = 3:
% 60.49/60.73 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #23: unsound, references = 3, size of lhs = 3:
% 60.49/60.73 P_complement-{F}(V0,V1), P_complement-{F}(V0,V3), V1 == V3 | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #24: unsound, references = 3, size of lhs = 3:
% 60.49/60.73 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #25: unsound, references = 3, size of lhs = 3:
% 60.49/60.73 P_composition-{F}(V0,V1,V2), P_composition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #26: unsound, references = 3, size of lhs = 3:
% 60.49/60.73 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #27: unsound, references = 3, size of lhs = 3:
% 60.49/60.73 P_converse-{F}(V0,V1), P_converse-{F}(V0,V3), V1 == V3 | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #28: unsound, references = 3, size of lhs = 3:
% 60.49/60.73 P_top-{F}(V0), P_top-{F}(V1), V0 == V1 | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #29: unsound, references = 3, size of lhs = 3:
% 60.49/60.73 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 number of simplifiers = 8
% 60.49/60.73
% 60.49/60.73 Learnt:
% 60.49/60.73 #31: exists( #16, #12 ), references = 2, size of lhs = 4:
% 60.49/60.73 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_complement-{F}(V3,V4) | P_meet-{T}(V3,V4,V2)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #33: exists( #19, #7 ), references = 20, size of lhs = 2:
% 60.49/60.73 P_one-{F}(V0), P_converse-{F}(V1,V2) | P_converse-{T}(V2,V1)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #35: exists( #14, #8 ), references = 16, size of lhs = 5:
% 60.49/60.73 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)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #37: exists( #14, #11 ), references = 18, size of lhs = 3:
% 60.49/60.73 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V2,V3) | P_join-{T}(V2,V3,V1)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #41: exists( #15, #39 ), references = 1, size of lhs = 4:
% 60.49/60.73 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V2,V1), P_meet-{F}(V2,V1,V3) | P_complement-{T}(V1,V3)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #46: exists( #14, #1 ), references = 18, size of lhs = 3:
% 60.49/60.73 P_join-{F}(V0,V1,V2), P_join-{F}(V3,V0,V4), P_join-{F}(V4,V1,V5) | P_join-{T}(V3,V2,V5)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #48: exists( #17, #5 ), references = 19, size of lhs = 2:
% 60.49/60.73 P_one-{F}(V0), #-{F} V1 | P_composition-{T}(V1,V0,V1)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #57: mergings( V2 == V0, V0 == V3; #54 ), references = 1, size of lhs = 1:
% 60.49/60.73 P_one-{F}(V0) | P_converse-{T}(V0,V0)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #59: exists( #21, #13 ), references = 3, size of lhs = 3:
% 60.49/60.73 P_one-{F}(V0), P_top-{F}(V1), P_composition-{F}(V1,V1,V1) | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #61: exists( #17, #9 ), references = 26, size of lhs = 5:
% 60.49/60.73 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)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #63: exists( #14, #10 ), references = 7, size of lhs = 6:
% 60.49/60.73 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)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #65: exists( #14, #6 ), references = 18, size of lhs = 5:
% 60.49/60.73 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)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #67: exists( #15, #3 ), references = 5, size of lhs = 4:
% 60.49/60.73 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)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #81: mergings( V3 == V4; #79 ), references = 1, size of lhs = 13:
% 60.49/60.73 P_one-{F}(V0), P_top-{F}(V1), P_join-{F}(V2,V2,V2), P_complement-{F}(V3,V2), P_meet-{F}(V3,V2,V4), P_complement-{F}(V5,V2), P_complement-{F}(V6,V7), P_join-{F}(V7,V8,V2), P_complement-{F}(V9,V8), P_converse-{F}(V10,V11), P_composition-{F}(V10,V2,V12), P_complement-{F}(V12,V13), P_composition-{F}(V11,V13,V4) | P_meet-{T}(V6,V9,V5)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #105: exists( #14, #0 ), references = 23, size of lhs = 1:
% 60.49/60.73 P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #106: exists( #14, #2 ), references = 3, size of lhs = 6:
% 60.49/60.73 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)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #132: mergings( V11 == V12; #130 ), references = 1, size of lhs = 14:
% 60.49/60.73 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V2,V3), P_complement-{F}(V4,V5), P_join-{F}(V3,V5,V6), P_complement-{F}(V7,V6), P_meet-{F}(V7,V6,V8), P_complement-{F}(V8,V6), P_complement-{F}(V9,V10), P_join-{F}(V10,V11,V1), P_complement-{F}(V11,V12), P_join-{F}(V10,V12,V6), P_join-{F}(V8,V10,V13), V6 == V13 | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #144: mergings( V10 == V12, V11 == V18, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #137 ), references = 2, size of lhs = 16:
% 60.49/60.73 P_one-{F}(V0), P_top-{F}(V1), P_converse-{F}(V0,V2), P_converse-{F}(V2,V3), P_complement-{F}(V4,V5), P_composition-{F}(V3,V5,V6), P_complement-{F}(V7,V6), P_complement-{F}(V8,V5), P_complement-{F}(V9,V5), P_meet-{F}(V9,V5,V10), P_complement-{F}(V10,V5), P_complement-{F}(V11,V6), P_join-{F}(V6,V12,V1), P_complement-{F}(V12,V5), P_join-{F}(V10,V6,V13), V5 == V13 | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #156: exists( #19, #8 ), references = 8, size of lhs = 5:
% 60.49/60.73 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)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #173: exists( #15, #171 ), references = 1, size of lhs = 6:
% 60.49/60.73 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
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #175: exists( #15, #172 ), references = 1, size of lhs = 4:
% 60.49/60.73 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V2,V3), P_meet-{F}(V2,V3,V4) | P_complement-{T}(V1,V4)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #193: mergings( V2 == V3, V3 == V4, V4 == V5; #189 ), references = 2, size of lhs = 12:
% 60.49/60.73 P_one-{F}(V0), P_converse-{F}(V0,V1), P_join-{F}(V1,V1,V1), P_complement-{F}(V2,V3), P_join-{F}(V3,V4,V5), P_complement-{F}(V5,V6), P_join-{F}(V4,V5,V7), P_complement-{F}(V7,V8), P_join-{F}(V3,V8,V9), P_complement-{F}(V9,V10), P_join-{F}(V10,V6,V11), V2 == V11 | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #197: exists( #16, #3 ), references = 1, size of lhs = 4:
% 60.49/60.73 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)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #218: mergings( V8 == V10, V2 == V3, V3 == V4, V4 == V5; #213 ), references = 1, size of lhs = 7:
% 60.49/60.73 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
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #224: mergings( V10 == V1, V3 == V4, V4 == V5, V5 == V6; #219 ), references = 14, size of lhs = 5:
% 60.49/60.73 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)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #227: exists( #17, #6 ), references = 6, size of lhs = 5:
% 60.49/60.73 P_one-{F}(V0), P_join-{F}(V1,V2,V3), P_composition-{F}(V1,V4,V5), P_composition-{F}(V2,V4,V6), P_join-{F}(V5,V6,V7) | P_composition-{T}(V3,V4,V7)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #237: mergings( V3 == V4, V4 == V5, V5 == V6; #233 ), references = 2, size of lhs = 15:
% 60.49/60.73 P_one-{F}(V0), P_converse-{F}(V1,V1), P_converse-{F}(V2,V2), P_join-{F}(V3,V2,V2), P_converse-{F}(V4,V5), P_converse-{F}(V6,V5), P_composition-{F}(V7,V4,V2), P_composition-{F}(V8,V4,V1), P_join-{F}(V7,V8,V9), P_converse-{F}(V9,V10), P_complement-{F}(V11,V10), P_composition-{F}(V6,V12,V11), P_complement-{F}(V12,V13), P_join-{F}(V3,V13,V14), V14 == V13 | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #258: mergings( V2 == V3, V3 == V4, V4 == V5, V7 == V8; #253 ), references = 1, size of lhs = 15:
% 60.49/60.73 P_one-{F}(V0), P_top-{F}(V1), P_converse-{F}(V0,V2), P_converse-{F}(V2,V2), P_complement-{F}(V3,V4), P_complement-{F}(V5,V4), P_complement-{F}(V6,V4), P_complement-{F}(V7,V4), P_meet-{F}(V7,V4,V8), P_complement-{F}(V8,V4), P_complement-{F}(V9,V4), P_join-{F}(V4,V10,V1), P_complement-{F}(V10,V4), P_join-{F}(V8,V4,V11), V4 == V11 | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #270: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V8, V10 == V11, V4 == V9; #262 ), references = 1, size of lhs = 5:
% 60.49/60.73 P_zero-{F}(V0), P_one-{F}(V1), P_top-{F}(V2), P_converse-{F}(V1,V3), P_converse-{F}(V3,V3) | P_complement-{T}(V0,V2)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #290: mergings( V2 == V3, V3 == V4, V4 == V5, V6 == V7; #285 ), references = 2, size of lhs = 9:
% 60.49/60.73 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V1), P_complement-{F}(V2,V3), P_complement-{F}(V4,V3), P_complement-{F}(V5,V3), P_meet-{F}(V4,V5,V6), P_complement-{F}(V3,V7), V6 == V7 | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #296: mergings( V3 == V4, V4 == V5, V5 == V6, V7 == V8; #291 ), references = 1, size of lhs = 7:
% 60.49/60.73 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V1), P_complement-{F}(V2,V3), P_complement-{F}(V4,V3), P_complement-{F}(V5,V3), P_complement-{F}(V3,V6) | P_meet-{T}(V4,V5,V6)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #303: exists( #15, #290 ), references = 2, size of lhs = 7:
% 60.49/60.73 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V1), P_complement-{F}(V2,V3), P_complement-{F}(V4,V3), P_complement-{F}(V5,V3), P_meet-{F}(V4,V5,V6) | P_complement-{T}(V3,V6)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #311: exists( #16, #309 ), references = 2, size of lhs = 14:
% 60.49/60.73 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V1), P_complement-{F}(V2,V3), P_complement-{F}(V4,V3), P_complement-{F}(V5,V3), P_complement-{F}(V6,V7), P_join-{F}(V7,V8,V3), P_complement-{F}(V9,V8), P_join-{F}(V7,V9,V10), P_complement-{F}(V10,V11), P_join-{F}(V11,V12,V11), P_join-{F}(V6,V12,V13), V6 == V13 | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #314: exists( #14, #312 ), references = 1, size of lhs = 12:
% 60.49/60.73 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V1), P_complement-{F}(V2,V3), P_complement-{F}(V4,V3), P_complement-{F}(V5,V3), P_complement-{F}(V6,V7), P_join-{F}(V7,V8,V3), P_complement-{F}(V9,V8), P_join-{F}(V7,V9,V10), P_complement-{F}(V10,V11), P_join-{F}(V11,V12,V11) | P_join-{T}(V12,V6,V6)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #352: mergings( V2 == V3, V3 == V4, V4 == V5, V6 == V7; #346 ), references = 2, size of lhs = 11:
% 60.49/60.73 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V1), P_complement-{F}(V2,V3), P_complement-{F}(V4,V3), P_complement-{F}(V5,V3), P_complement-{F}(V3,V6), P_join-{F}(V3,V5,V7), P_complement-{F}(V7,V8), P_join-{F}(V6,V8,V9), V4 == V9 | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #407: mergings( V3 == V4, V4 == V5, V5 == V6; #402 ), references = 7, size of lhs = 12:
% 60.49/60.73 P_one-{F}(V0), P_converse-{F}(V1,V2), P_composition-{F}(V3,V1,V4), P_converse-{F}(V4,V5), P_converse-{F}(V5,V4), P_composition-{F}(V6,V1,V5), P_join-{F}(V3,V6,V7), P_converse-{F}(V7,V8), P_composition-{F}(V2,V8,V9), P_composition-{F}(V10,V11,V5), P_composition-{F}(V12,V11,V4), P_join-{F}(V10,V12,V13) | P_composition-{T}(V13,V11,V9)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #442: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #431 ), references = 1, size of lhs = 23:
% 60.49/60.73 P_one-{F}(V0), P_top-{F}(V1), P_converse-{F}(V2,V1), P_converse-{F}(V3,V4), P_composition-{F}(V5,V3,V6), P_converse-{F}(V6,V7), P_converse-{F}(V7,V6), P_composition-{F}(V8,V3,V7), P_join-{F}(V5,V8,V9), P_converse-{F}(V9,V10), P_composition-{F}(V11,V12,V7), P_composition-{F}(V13,V12,V6), P_join-{F}(V11,V13,V2), P_converse-{F}(V12,V14), P_join-{F}(V15,V14,V1), P_composition-{F}(V15,V1,V16), P_join-{F}(V17,V18,V2), P_composition-{F}(V17,V12,V19), P_composition-{F}(V18,V12,V20), P_converse-{F}(V19,V20), P_converse-{F}(V20,V19), P_join-{F}(V16,V19,V21), P_join-{F}(V21,V20,V1) | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #451: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #432 ), references = 1, size of lhs = 24:
% 60.49/60.73 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_converse-{F}(V3,V1), P_converse-{F}(V4,V5), P_composition-{F}(V6,V4,V7), P_converse-{F}(V7,V8), P_converse-{F}(V8,V7), P_composition-{F}(V9,V4,V8), P_join-{F}(V6,V9,V10), P_converse-{F}(V10,V11), P_composition-{F}(V12,V13,V8), P_composition-{F}(V14,V13,V7), P_join-{F}(V12,V14,V3), P_converse-{F}(V13,V15), P_join-{F}(V16,V15,V1), P_composition-{F}(V16,V1,V17), P_join-{F}(V18,V19,V3), P_composition-{F}(V18,V13,V20), P_composition-{F}(V19,V13,V21), P_converse-{F}(V20,V21), P_converse-{F}(V21,V20), P_join-{F}(V17,V20,V22), P_join-{F}(V22,V21,V1) | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #474: mergings( V2 == V4; #471 ), references = 1, size of lhs = 13:
% 60.49/60.73 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V2,V2), P_converse-{F}(V3,V3), P_join-{F}(V4,V3,V3), P_converse-{F}(V5,V6), P_converse-{F}(V7,V6), P_composition-{F}(V8,V5,V3), P_composition-{F}(V9,V5,V2), P_join-{F}(V8,V9,V10), P_converse-{F}(V10,V11), P_composition-{F}(V7,V4,V12), P_complement-{F}(V12,V11) | P_complement-{T}(V4,V0)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #475: exists( #15, #470 ), references = 2, size of lhs = 5:
% 60.49/60.73 P_one-{F}(V0), P_top-{F}(V1), P_join-{F}(V2,V1,V3), V3 == V1, P_join-{F}(V2,V4,V4) | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #506: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V10; #497 ), references = 2, size of lhs = 43:
% 60.49/60.73 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V2), P_converse-{F}(V2,V2), P_complement-{F}(V3,V0), P_complement-{F}(V4,V0), P_complement-{F}(V0,V5), P_join-{F}(V0,V4,V6), P_complement-{F}(V6,V7), P_join-{F}(V5,V7,V8), P_converse-{F}(V9,V10), P_converse-{F}(V11,V10), P_composition-{F}(V12,V9,V13), P_converse-{F}(V13,V14), P_converse-{F}(V14,V13), P_composition-{F}(V15,V9,V14), P_join-{F}(V12,V15,V16), P_converse-{F}(V16,V17), P_converse-{F}(V18,V17), P_composition-{F}(V19,V20,V14), P_composition-{F}(V21,V20,V13), P_join-{F}(V19,V21,V22), P_composition-{F}(V23,V11,V24), P_converse-{F}(V24,V25), P_converse-{F}(V25,V24), P_composition-{F}(V26,V11,V25), P_join-{F}(V23,V26,V18), P_composition-{F}(V27,V28,V25), P_composition-{F}(V29,V28,V24), P_join-{F}(V27,V29,V30), P_converse-{F}(V28,V31), P_converse-{F}(V32,V31), P_join-{F}(V30,V30,V33), P_converse-{F}(V33,V34), P_complement-{F}(V35,V34), P_composition-{F}(V32,V36,V35), V36 == V8, P_join-{F}(V36,V37,V37), P_converse-{F}(V37,V38), P_converse-{F}(V38,V37), P_composition-{F}(V39,V20,V37), P_composition-{F}(V40,V20,V38), P_join-{F}(V39,V40,V22) | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #513: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V10; #498 ), references = 1, size of lhs = 44:
% 60.49/60.73 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V2), P_join-{F}(V2,V2,V2), P_converse-{F}(V3,V4), P_converse-{F}(V5,V4), P_composition-{F}(V6,V3,V7), P_converse-{F}(V7,V8), P_converse-{F}(V8,V7), P_composition-{F}(V9,V3,V8), P_join-{F}(V6,V9,V10), P_converse-{F}(V10,V11), P_converse-{F}(V12,V11), P_composition-{F}(V13,V14,V8), P_composition-{F}(V15,V14,V7), P_join-{F}(V13,V15,V16), P_composition-{F}(V17,V5,V18), P_converse-{F}(V18,V19), P_converse-{F}(V19,V18), P_composition-{F}(V20,V5,V19), P_join-{F}(V17,V20,V12), P_composition-{F}(V21,V22,V19), P_composition-{F}(V23,V22,V18), P_join-{F}(V21,V23,V24), P_converse-{F}(V22,V25), P_converse-{F}(V26,V25), P_join-{F}(V24,V24,V27), P_converse-{F}(V27,V28), P_complement-{F}(V29,V28), P_composition-{F}(V26,V30,V29), P_join-{F}(V30,V31,V31), P_converse-{F}(V31,V32), P_converse-{F}(V32,V31), P_composition-{F}(V33,V14,V31), P_composition-{F}(V34,V14,V32), P_join-{F}(V33,V34,V16), P_join-{F}(V0,V35,V36), P_complement-{F}(V36,V37), P_join-{F}(V35,V36,V38), P_complement-{F}(V38,V39), P_join-{F}(V0,V39,V40), P_complement-{F}(V40,V41), P_join-{F}(V41,V37,V42), V30 == V42 | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #519: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9; #499 ), references = 2, size of lhs = 41:
% 60.49/60.73 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V2,V3), P_converse-{F}(V4,V3), P_composition-{F}(V5,V2,V6), P_converse-{F}(V6,V7), P_converse-{F}(V7,V6), P_composition-{F}(V8,V2,V7), P_join-{F}(V5,V8,V9), P_converse-{F}(V9,V10), P_converse-{F}(V11,V10), P_composition-{F}(V12,V13,V7), P_composition-{F}(V14,V13,V6), P_join-{F}(V12,V14,V15), P_composition-{F}(V16,V4,V17), P_converse-{F}(V17,V18), P_converse-{F}(V18,V17), P_composition-{F}(V19,V4,V18), P_join-{F}(V16,V19,V11), P_composition-{F}(V20,V21,V18), P_composition-{F}(V22,V21,V17), P_join-{F}(V20,V22,V23), P_converse-{F}(V21,V24), P_converse-{F}(V25,V24), P_join-{F}(V23,V23,V26), P_converse-{F}(V26,V27), P_complement-{F}(V28,V27), P_composition-{F}(V25,V29,V28), P_join-{F}(V29,V30,V30), P_converse-{F}(V30,V31), P_converse-{F}(V31,V30), P_composition-{F}(V32,V13,V30), P_composition-{F}(V33,V13,V31), P_join-{F}(V32,V33,V15), P_complement-{F}(V34,V35), P_join-{F}(V0,V35,V36), P_complement-{F}(V36,V37), P_join-{F}(V0,V34,V38), P_complement-{F}(V38,V39), P_join-{F}(V37,V39,V40), V29 == V40 | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #550: mergings( V32 == V41, V31 == V40, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V12, V12 == V13; #535 ), references = 1, size of lhs = 36:
% 60.49/60.73 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V2), P_converse-{F}(V2,V2), P_complement-{F}(V3,V0), P_complement-{F}(V4,V0), P_complement-{F}(V0,V5), P_join-{F}(V0,V4,V6), P_complement-{F}(V6,V7), P_join-{F}(V5,V7,V8), P_join-{F}(V9,V9,V9), P_converse-{F}(V10,V9), P_composition-{F}(V11,V10,V11), P_complement-{F}(V12,V11), P_converse-{F}(V13,V14), P_join-{F}(V13,V15,V11), P_converse-{F}(V15,V16), P_converse-{F}(V17,V18), P_converse-{F}(V19,V18), P_composition-{F}(V14,V17,V20), P_composition-{F}(V16,V17,V21), P_converse-{F}(V20,V21), P_converse-{F}(V21,V20), P_composition-{F}(V14,V19,V22), P_converse-{F}(V22,V23), P_converse-{F}(V23,V22), P_composition-{F}(V16,V19,V23), P_composition-{F}(V16,V24,V23), P_composition-{F}(V14,V24,V22), P_converse-{F}(V24,V25), P_converse-{F}(V26,V25), P_composition-{F}(V26,V27,V12), V27 == V8, P_join-{F}(V27,V20,V20), P_composition-{F}(V14,V28,V20), P_composition-{F}(V16,V28,V21) | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #563: mergings( V26 == V35, V25 == V34, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V12, V12 == V13; #536 ), references = 1, size of lhs = 37:
% 60.49/60.73 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V2), P_join-{F}(V2,V2,V2), P_join-{F}(V3,V3,V3), P_converse-{F}(V4,V3), P_composition-{F}(V5,V4,V5), P_complement-{F}(V6,V5), P_converse-{F}(V7,V8), P_join-{F}(V7,V9,V5), P_converse-{F}(V9,V10), P_converse-{F}(V11,V12), P_converse-{F}(V13,V12), P_composition-{F}(V8,V11,V14), P_composition-{F}(V10,V11,V15), P_converse-{F}(V14,V15), P_converse-{F}(V15,V14), P_composition-{F}(V8,V13,V16), P_converse-{F}(V16,V17), P_converse-{F}(V17,V16), P_composition-{F}(V10,V13,V17), P_composition-{F}(V10,V18,V17), P_composition-{F}(V8,V18,V16), P_converse-{F}(V18,V19), P_converse-{F}(V20,V19), P_composition-{F}(V20,V21,V6), P_join-{F}(V21,V14,V14), P_composition-{F}(V8,V22,V14), P_composition-{F}(V10,V22,V15), P_join-{F}(V0,V23,V24), P_complement-{F}(V24,V25), P_join-{F}(V23,V24,V26), P_complement-{F}(V26,V27), P_join-{F}(V0,V27,V28), P_complement-{F}(V28,V29), P_join-{F}(V29,V25,V30), V21 == V30 | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #575: mergings( V24 == V33, V23 == V32, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V12; #537 ), references = 1, size of lhs = 34:
% 60.49/60.73 P_top-{F}(V0), P_one-{F}(V1), P_join-{F}(V2,V2,V2), P_converse-{F}(V3,V2), P_composition-{F}(V4,V3,V4), P_complement-{F}(V5,V4), P_converse-{F}(V6,V7), P_join-{F}(V6,V8,V4), P_converse-{F}(V8,V9), P_converse-{F}(V10,V11), P_converse-{F}(V12,V11), P_composition-{F}(V7,V10,V13), P_composition-{F}(V9,V10,V14), P_converse-{F}(V13,V14), P_converse-{F}(V14,V13), P_composition-{F}(V7,V12,V15), P_converse-{F}(V15,V16), P_converse-{F}(V16,V15), P_composition-{F}(V9,V12,V16), P_composition-{F}(V9,V17,V16), P_composition-{F}(V7,V17,V15), P_converse-{F}(V17,V18), P_converse-{F}(V19,V18), P_composition-{F}(V19,V20,V5), P_join-{F}(V20,V13,V13), P_composition-{F}(V7,V21,V13), P_composition-{F}(V9,V21,V14), P_complement-{F}(V22,V23), P_join-{F}(V0,V23,V24), P_complement-{F}(V24,V25), P_join-{F}(V0,V22,V26), P_complement-{F}(V26,V27), P_join-{F}(V25,V27,V28), V20 == V28 | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #639: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V8, V8 == V9, V9 == V10, V6 == V7; #630 ), references = 1, size of lhs = 41:
% 60.49/60.73 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V2), P_converse-{F}(V2,V2), P_complement-{F}(V3,V0), P_complement-{F}(V4,V0), P_complement-{F}(V0,V5), P_join-{F}(V0,V4,V6), P_complement-{F}(V6,V7), P_join-{F}(V5,V7,V8), P_complement-{F}(V9,V0), P_converse-{F}(V10,V11), P_join-{F}(V10,V12,V0), P_converse-{F}(V12,V13), P_converse-{F}(V14,V15), P_converse-{F}(V16,V15), P_composition-{F}(V17,V14,V18), P_converse-{F}(V18,V19), P_converse-{F}(V19,V18), P_composition-{F}(V20,V14,V19), P_join-{F}(V17,V20,V0), P_composition-{F}(V21,V22,V19), P_composition-{F}(V23,V22,V18), P_join-{F}(V21,V23,V24), P_composition-{F}(V25,V16,V26), P_converse-{F}(V26,V27), P_converse-{F}(V27,V26), P_composition-{F}(V28,V16,V27), P_join-{F}(V25,V28,V0), P_composition-{F}(V11,V29,V27), P_composition-{F}(V13,V29,V26), P_converse-{F}(V29,V30), P_converse-{F}(V31,V30), P_composition-{F}(V31,V32,V9), V32 == V8, P_join-{F}(V32,V33,V33), P_converse-{F}(V33,V34), P_converse-{F}(V34,V33), P_composition-{F}(V35,V22,V33), P_composition-{F}(V36,V22,V34), P_join-{F}(V35,V36,V24) | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #648: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V8, V8 == V9, V9 == V11, V6 == V7, V7 == V12; #631 ), references = 1, size of lhs = 42:
% 60.49/60.73 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V2), P_converse-{F}(V2,V2), P_complement-{F}(V3,V0), P_complement-{F}(V4,V0), P_complement-{F}(V0,V5), P_join-{F}(V0,V4,V6), P_complement-{F}(V6,V7), P_join-{F}(V5,V7,V8), P_complement-{F}(V9,V10), P_complement-{F}(V11,V10), P_converse-{F}(V12,V13), P_join-{F}(V12,V14,V10), P_converse-{F}(V14,V15), P_converse-{F}(V16,V17), P_converse-{F}(V18,V17), P_composition-{F}(V19,V16,V20), P_converse-{F}(V20,V21), P_converse-{F}(V21,V20), P_composition-{F}(V22,V16,V21), P_join-{F}(V19,V22,V10), P_composition-{F}(V23,V24,V21), P_composition-{F}(V25,V24,V20), P_join-{F}(V23,V25,V26), P_composition-{F}(V27,V18,V28), P_converse-{F}(V28,V29), P_converse-{F}(V29,V28), P_composition-{F}(V30,V18,V29), P_join-{F}(V27,V30,V10), P_composition-{F}(V13,V31,V29), P_composition-{F}(V15,V31,V28), P_converse-{F}(V31,V32), P_converse-{F}(V33,V32), P_composition-{F}(V33,V34,V11), V34 == V8, P_join-{F}(V34,V35,V35), P_converse-{F}(V35,V36), P_converse-{F}(V36,V35), P_composition-{F}(V37,V24,V35), P_composition-{F}(V38,V24,V36), P_join-{F}(V37,V38,V26) | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #681: mergings( V2 == V3, V3 == V4, V4 == V5, V6 == V7; #676 ), references = 1, size of lhs = 11:
% 60.49/60.73 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V1), P_complement-{F}(V2,V3), P_complement-{F}(V3,V4), P_complement-{F}(V5,V6), P_join-{F}(V7,V3,V6), P_join-{F}(V8,V7,V3), P_complement-{F}(V9,V8), P_meet-{F}(V5,V9,V10), V10 == V4 | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #687: mergings( V3 == V4, V4 == V5, V5 == V6, V7 == V8; #682 ), references = 1, size of lhs = 9:
% 60.49/60.73 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V1), P_complement-{F}(V2,V3), P_complement-{F}(V3,V4), P_complement-{F}(V5,V6), P_join-{F}(V7,V3,V6), P_join-{F}(V8,V7,V3), P_complement-{F}(V9,V8) | P_meet-{T}(V5,V9,V4)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #712: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V8, V6 == V7, V7 == V9; #704 ), references = 1, size of lhs = 16:
% 60.49/60.73 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V1), P_complement-{F}(V2,V3), P_complement-{F}(V3,V4), P_join-{F}(V4,V5,V4), P_complement-{F}(V6,V7), P_complement-{F}(V8,V7), P_complement-{F}(V9,V7), P_complement-{F}(V10,V11), P_join-{F}(V11,V12,V3), P_join-{F}(V12,V3,V13), P_complement-{F}(V13,V14), P_join-{F}(V11,V14,V7), P_join-{F}(V10,V5,V15), V10 == V15 | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #730: mergings( V3 == V4, V4 == V5; #727 ), references = 2, size of lhs = 5:
% 60.49/60.73 P_one-{F}(V0), P_top-{F}(V1), P_join-{F}(V2,V2,V2), P_join-{F}(V3,V2,V2), P_composition-{F}(V3,V4,V1) | P_composition-{T}(V2,V4,V1)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #758: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V8, V8 == V9, V6 == V7; #750 ), references = 3, size of lhs = 6:
% 60.49/60.73 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V1), P_top-{F}(V2), P_join-{F}(V1,V2,V2), P_complement-{F}(V3,V2) | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #809: mergings( V2 == V4; #807 ), references = 1, size of lhs = 6:
% 60.49/60.73 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V2,V3), P_composition-{F}(V2,V4,V5), P_complement-{F}(V5,V6), P_composition-{F}(V3,V6,V4) | P_complement-{T}(V4,V0)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #841: mergings( V2 == V4; #839 ), references = 1, size of lhs = 7:
% 60.49/60.73 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V2,V3), P_composition-{F}(V2,V4,V5), P_complement-{F}(V5,V6), P_composition-{F}(V3,V6,V7), P_join-{F}(V4,V7,V7) | P_complement-{T}(V4,V0)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #942: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7; #936 ), references = 1, size of lhs = 16:
% 60.49/60.73 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V0,V2), V2 == V0, P_converse-{F}(V3,V4), P_composition-{F}(V3,V5,V6), P_complement-{F}(V6,V7), P_composition-{F}(V4,V7,V8), P_composition-{F}(V9,V10,V8), P_composition-{F}(V11,V10,V0), P_join-{F}(V9,V11,V12), P_join-{F}(V13,V14,V12), P_composition-{F}(V13,V10,V15), P_composition-{F}(V14,V10,V16), P_converse-{F}(V15,V16), P_converse-{F}(V16,V15) | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #948: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #937 ), references = 1, size of lhs = 19:
% 60.49/60.73 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V0,V2), V0 == V2, P_converse-{F}(V3,V4), P_composition-{F}(V3,V5,V6), P_complement-{F}(V6,V7), P_composition-{F}(V4,V7,V8), P_composition-{F}(V9,V10,V8), P_composition-{F}(V11,V10,V0), P_join-{F}(V9,V11,V12), P_composition-{F}(V13,V10,V14), P_converse-{F}(V14,V15), P_composition-{F}(V16,V10,V15), P_join-{F}(V13,V17,V12), P_composition-{F}(V17,V10,V18), P_converse-{F}(V18,V19), P_composition-{F}(V20,V10,V19), P_join-{F}(V16,V20,V12) | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #1003: exists( #17, #4 ), references = 3, size of lhs = 3:
% 60.49/60.73 P_composition-{F}(V0,V1,V2), P_composition-{F}(V3,V2,V4), P_composition-{F}(V3,V0,V5) | P_composition-{T}(V5,V1,V4)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #1067: mergings( V3 == V4; #1065 ), references = 2, size of lhs = 12:
% 60.49/60.73 P_one-{F}(V0), P_composition-{F}(V1,V2,V3), P_composition-{F}(V4,V1,V5), P_join-{F}(V5,V6,V7), P_composition-{F}(V7,V2,V8), P_composition-{F}(V6,V2,V9), P_composition-{F}(V3,V10,V11), P_composition-{F}(V4,V11,V12), P_composition-{F}(V8,V10,V13), P_composition-{F}(V9,V10,V14), P_join-{F}(V14,V12,V15), V13 == V15 | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #1070: mergings( V3 == V4; #1068 ), references = 1, size of lhs = 10:
% 60.49/60.73 P_one-{F}(V0), P_composition-{F}(V1,V2,V3), P_composition-{F}(V4,V1,V5), P_join-{F}(V5,V6,V7), P_composition-{F}(V7,V2,V8), P_composition-{F}(V6,V2,V9), P_composition-{F}(V3,V10,V11), P_composition-{F}(V4,V11,V12), P_composition-{F}(V8,V10,V13), P_composition-{F}(V9,V10,V14) | P_join-{T}(V14,V12,V13)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #1094: mergings( V8 == V9, V11 == V13, V2 == V4, V4 == V5, V5 == V6, V12 == V14; #1085 ), references = 1, size of lhs = 12:
% 60.49/60.73 P_top-{F}(V0), P_one-{F}(V1), P_composition-{F}(V0,V2,V3), P_composition-{F}(V3,V4,V5), P_converse-{F}(V5,V6), V5 == V6, P_converse-{F}(V6,V5), P_composition-{F}(V7,V2,V8), P_composition-{F}(V8,V4,V9), P_composition-{F}(V10,V9,V6), P_composition-{F}(V10,V7,V11), P_join-{F}(V11,V12,V12) | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #1102: mergings( V8 == V9, V11 == V13, V2 == V4, V4 == V5, V5 == V6, V12 == V14, V15 == V17; #1086 ), references = 1, size of lhs = 13:
% 60.49/60.73 P_top-{F}(V0), P_one-{F}(V1), P_composition-{F}(V0,V2,V3), P_composition-{F}(V3,V4,V5), P_converse-{F}(V5,V6), P_converse-{F}(V7,V5), V7 == V5, P_join-{F}(V8,V6,V7), P_composition-{F}(V9,V2,V10), P_composition-{F}(V10,V4,V11), P_composition-{F}(V12,V11,V7), P_composition-{F}(V12,V9,V13), P_join-{F}(V13,V14,V14) | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #1111: mergings( V9 == V10, V19 == V22, V18 == V24, V2 == V4, V4 == V5, V5 == V6, V6 == V7, V20 == V23; #1087 ), references = 1, size of lhs = 14:
% 60.49/60.73 P_top-{F}(V0), P_one-{F}(V1), P_composition-{F}(V0,V2,V3), P_composition-{F}(V4,V2,V5), P_composition-{F}(V6,V4,V7), P_join-{F}(V7,V8,V8), P_composition-{F}(V5,V9,V10), P_composition-{F}(V6,V10,V11), P_converse-{F}(V11,V12), P_composition-{F}(V3,V9,V13), P_converse-{F}(V13,V14), V12 == V14, P_composition-{F}(V11,V15,V14), P_composition-{F}(V13,V15,V12) | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #1121: mergings( V9 == V10, V12 == V14, V3 == V5, V5 == V6, V6 == V7, V13 == V15; #1112 ), references = 1, size of lhs = 12:
% 60.49/60.73 P_top-{F}(V0), P_one-{F}(V1), P_composition-{F}(V0,V2,V3), P_composition-{F}(V3,V4,V5), P_converse-{F}(V5,V6), V5 == V6, P_converse-{F}(V6,V5), P_composition-{F}(V7,V2,V8), P_composition-{F}(V8,V4,V9), P_composition-{F}(V10,V9,V6), P_composition-{F}(V10,V7,V11), P_join-{F}(V11,V12,V12) | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #1129: mergings( V9 == V10, V12 == V14, V3 == V5, V5 == V6, V6 == V7, V13 == V15, V16 == V18; #1113 ), references = 1, size of lhs = 13:
% 60.49/60.73 P_top-{F}(V0), P_one-{F}(V1), P_composition-{F}(V0,V2,V3), P_composition-{F}(V3,V4,V5), P_converse-{F}(V5,V6), P_converse-{F}(V7,V5), V7 == V5, P_join-{F}(V8,V6,V7), P_composition-{F}(V9,V2,V10), P_composition-{F}(V10,V4,V11), P_composition-{F}(V12,V11,V7), P_composition-{F}(V12,V9,V13), P_join-{F}(V13,V14,V14) | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #1138: mergings( V10 == V11, V21 == V24, V20 == V26, V3 == V5, V5 == V6, V6 == V7, V7 == V8, V22 == V25; #1114 ), references = 1, size of lhs = 14:
% 60.49/60.73 P_top-{F}(V0), P_one-{F}(V1), P_composition-{F}(V0,V2,V3), P_composition-{F}(V4,V2,V5), P_composition-{F}(V6,V4,V7), P_join-{F}(V7,V8,V8), P_composition-{F}(V5,V9,V10), P_composition-{F}(V6,V10,V11), P_converse-{F}(V11,V12), P_composition-{F}(V3,V9,V13), P_converse-{F}(V13,V14), V12 == V14, P_composition-{F}(V11,V15,V14), P_composition-{F}(V13,V15,V12) | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #1169: mergings( V16 == V17, V2 == V3, V3 == V4, V4 == V5, V5 == V8, V8 == V9, V9 == V11, V11 == V12, V12 == V13, V6 == V7; #1156 ), references = 1, size of lhs = 9:
% 60.49/60.73 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V2), P_converse-{F}(V2,V2), P_complement-{F}(V3,V4), P_composition-{F}(V0,V5,V6), P_composition-{F}(V6,V7,V4), P_composition-{F}(V1,V5,V8), P_composition-{F}(V8,V7,V1) | P_converse-{T}(V4,V4)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #1181: mergings( V15 == V16, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V14, V7 == V8; #1157 ), references = 1, size of lhs = 9:
% 60.49/60.73 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V2), P_converse-{F}(V2,V2), P_composition-{F}(V0,V1,V3), P_composition-{F}(V3,V1,V4), P_complement-{F}(V5,V4), P_composition-{F}(V4,V6,V4), P_converse-{F}(V6,V7) | P_converse-{T}(V4,V4)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #1195: mergings( V16 == V17, V0 == V19, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V15, V7 == V8; #1158 ), references = 1, size of lhs = 10:
% 60.49/60.73 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V2), P_converse-{F}(V2,V2), P_composition-{F}(V0,V1,V3), P_composition-{F}(V3,V1,V4), P_composition-{F}(V4,V1,V4), P_complement-{F}(V5,V4), P_composition-{F}(V4,V6,V4), P_converse-{F}(V6,V7) | P_converse-{T}(V4,V4)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #1203: mergings( V2 == V3; #1201 ), references = 2, size of lhs = 6:
% 60.49/60.73 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V1), P_top-{F}(V2), P_complement-{F}(V3,V2), P_join-{F}(V1,V4,V4) | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #1259: mergings( V3 == V4; #1256 ), references = 1, size of lhs = 6:
% 60.49/60.73 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)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #1261: mergings( V3 == V4; #1257 ), references = 1, size of lhs = 11:
% 60.49/60.73 P_one-{F}(V0), P_join-{F}(V1,V2,V2), P_composition-{F}(V2,V3,V4), P_composition-{F}(V3,V5,V6), P_composition-{F}(V6,V7,V8), P_composition-{F}(V1,V8,V9), P_composition-{F}(V10,V7,V9), P_composition-{F}(V11,V5,V10), P_join-{F}(V4,V11,V12), P_composition-{F}(V12,V5,V13), P_composition-{F}(V13,V7,V14) | P_composition-{T}(V2,V8,V14)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #1310: mergings( V10 == V12, V2 == V3, V3 == V4, V4 == V5, V6 == V7; #1304 ), references = 1, size of lhs = 7:
% 60.49/60.73 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V1), P_complement-{F}(V2,V3), P_join-{F}(V3,V4,V5), P_join-{F}(V3,V5,V6), V6 == V5 | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #1319: mergings( V3 == V4, V4 == V5, V5 == V6, V7 == V8; #1314 ), references = 1, size of lhs = 8:
% 60.49/60.73 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V1), P_complement-{F}(V2,V3), P_join-{F}(V3,V4,V5), P_join-{F}(V3,V6,V7), P_join-{F}(V5,V7,V8), P_join-{F}(V6,V4,V9) | P_join-{T}(V4,V7,V8)
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #1330: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V9, V7 == V8, V8 == V1; #1322 ), references = 1, size of lhs = 9:
% 60.49/60.73 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V1), P_top-{F}(V2), P_complement-{F}(V3,V2), P_join-{F}(V4,V2,V2), P_join-{F}(V5,V1,V4), P_complement-{F}(V6,V5), P_join-{F}(V5,V7,V2) | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #1337: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V9, V7 == V8, V8 == V1; #1323 ), references = 1, size of lhs = 9:
% 60.49/60.73 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V1), P_top-{F}(V2), P_complement-{F}(V3,V2), P_complement-{F}(V4,V5), P_join-{F}(V5,V1,V6), P_join-{F}(V6,V7,V7), P_join-{F}(V5,V8,V7) | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #1351: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V9, V7 == V8, V8 == V0; #1342 ), references = 1, size of lhs = 6:
% 60.49/60.73 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V1), P_top-{F}(V2), P_join-{F}(V2,V2,V2), P_complement-{F}(V3,V2) | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #1403: mergings( V38 == V39, V1 == V2, V2 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V16, V16 == V17, V17 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V31, V31 == V34, V8 == V9, V9 == V14, V14 == V15, V15 == V24, V24 == V25, V25 == V32, V32 == V33, V33 == V35, V3 == V18, V18 == V36; #1368 ), references = 1, size of lhs = 10:
% 60.49/60.73 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V1), P_converse-{F}(V2,V1), P_top-{F}(V3), P_composition-{F}(V3,V2,V3), P_composition-{F}(V3,V4,V5), P_composition-{F}(V5,V6,V3), P_composition-{F}(V0,V4,V7), P_composition-{F}(V7,V6,V0) | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #1437: mergings( V38 == V39, V1 == V2, V2 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V16, V16 == V17, V17 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V31, V31 == V34, V8 == V9, V9 == V14, V14 == V15, V15 == V24, V24 == V25, V25 == V32, V32 == V33, V33 == V35, V3 == V18, V18 == V36; #1369 ), references = 1, size of lhs = 10:
% 60.49/60.73 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V1), P_converse-{F}(V2,V1), P_top-{F}(V3), P_composition-{F}(V3,V2,V3), P_composition-{F}(V3,V4,V5), P_composition-{F}(V5,V6,V3), P_composition-{F}(V0,V4,V7), P_composition-{F}(V7,V6,V0) | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #1473: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V32, V8 == V9, V9 == V14, V14 == V15, V15 == V23, V23 == V24, V24 == V30, V30 == V31, V31 == V33; #1440 ), references = 1, size of lhs = 5:
% 60.49/60.73 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V1), P_composition-{F}(V0,V0,V2), P_composition-{F}(V2,V0,V0) | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 #1503: exists( #18, #1499 ), references = 1, size of lhs = 0:
% 60.49/60.73 FALSE | FALSE
% 60.49/60.73 (used 0 times, uses = {})
% 60.49/60.73
% 60.49/60.73 number of learnt formulas = 81
% 60.49/60.73
% 60.49/60.73
% 60.49/60.73 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 60.49/60.73
% 60.49/60.73 randbase = 1
%------------------------------------------------------------------------------