TSTP Solution File: LAT038-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT038-1 : TPTP v8.1.0. Released v2.4.0.
% 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 06:07:50 EDT 2022
% Result : Unsatisfiable 25.25s 25.43s
% Output : Refutation 25.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT038-1 : TPTP v8.1.0. Released v2.4.0.
% 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 : Fri Jul 22 20:22:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 25.25/25.43 GeoParameters:
% 25.25/25.43
% 25.25/25.43 tptp_input = 1
% 25.25/25.43 tptp_output = 0
% 25.25/25.43 nonempty = 1
% 25.25/25.43 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.25/25.43 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 25.25/25.43
% 25.25/25.43
% 25.25/25.43 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.25/25.43 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.25/25.43
% 25.25/25.43 RuleSystem INPUT:
% 25.25/25.43
% 25.25/25.43 Initial Rules:
% 25.25/25.43 #0: input, references = 4, size of lhs = 2:
% 25.25/25.43 P_meet-{F}(V0,V0,V1), V1 == V0 | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #1: input, references = 4, size of lhs = 2:
% 25.25/25.43 P_join-{F}(V0,V0,V1), V1 == V0 | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #2: input, references = 4, size of lhs = 3:
% 25.25/25.43 P_join-{F}(V0,V1,V2), P_meet-{F}(V0,V2,V3), V3 == V0 | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #3: input, references = 4, size of lhs = 3:
% 25.25/25.43 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V2,V3), V3 == V0 | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #4: input, references = 4, size of lhs = 3:
% 25.25/25.43 P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V0,V3), V2 == V3 | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #5: input, references = 4, size of lhs = 3:
% 25.25/25.43 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #6: input, references = 4, size of lhs = 5:
% 25.25/25.43 P_meet-{F}(V0,V1,V3), P_meet-{F}(V3,V2,V4), P_meet-{F}(V1,V2,V5), P_meet-{F}(V0,V5,V6), V4 == V6 | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #7: input, references = 4, size of lhs = 5:
% 25.25/25.43 P_join-{F}(V0,V1,V3), P_join-{F}(V3,V2,V4), P_join-{F}(V1,V2,V5), P_join-{F}(V0,V5,V6), V4 == V6 | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #8: input, references = 8, size of lhs = 6:
% 25.25/25.43 P_meet-{F}(V1,V2,V3), P_join-{F}(V0,V3,V4), P_join-{F}(V0,V1,V5), P_join-{F}(V0,V2,V6), P_meet-{F}(V5,V6,V7), V4 == V7 | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #9: input, references = 8, size of lhs = 6:
% 25.25/25.43 P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V3,V4), P_meet-{F}(V0,V1,V5), P_meet-{F}(V0,V2,V6), P_join-{F}(V5,V6,V7), V4 == V7 | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #10: input, references = 6, size of lhs = 6:
% 25.25/25.43 P_join-{F}(V0,V1,V3), P_f-{F}(V3,V2,V4), P_f-{F}(V0,V2,V5), P_f-{F}(V1,V2,V6), P_join-{F}(V5,V6,V7), V4 == V7 | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #11: input, references = 4, size of lhs = 3:
% 25.25/25.43 P_n0-{F}(V0), P_f-{F}(V0,V1,V2), V2 == V0 | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #12: input, references = 6, size of lhs = 7:
% 25.25/25.43 P_n0-{F}(V0), P_join-{F}(V1,V2,V4), P_f-{F}(V3,V4,V5), P_f-{F}(V3,V1,V6), P_f-{F}(V3,V2,V7), P_join-{F}(V6,V7,V8), V5 == V8 | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #13: input, references = 4, size of lhs = 3:
% 25.25/25.43 P_n0-{F}(V0), P_f-{F}(V1,V0,V2), V2 == V0 | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #14: input, references = 6, size of lhs = 10:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_join-{F}(V1,V2,V3), P_dd-{F}(V4), P_f-{F}(V3,V4,V5), P_cc-{F}(V6), P_join-{F}(V6,V2,V7), P_f-{F}(V7,V4,V8), V5 == V8 | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #15: input, references = 6, size of lhs = 15:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_join-{F}(V1,V2,V3), P_dd-{F}(V4), P_f-{F}(V3,V4,V5), P_cc-{F}(V6), P_join-{F}(V6,V2,V7), P_f-{F}(V7,V4,V8), P_f-{F}(V1,V4,V9), P_f-{F}(V2,V4,V10), P_meet-{F}(V9,V10,V11), P_f-{F}(V6,V4,V12), P_meet-{F}(V12,V10,V13), V11 == V13 | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #16: input, references = 7, size of lhs = 14:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_join-{F}(V1,V2,V3), P_dd-{F}(V4), P_f-{F}(V3,V4,V5), P_cc-{F}(V6), P_join-{F}(V6,V2,V7), P_f-{F}(V7,V4,V8), P_f-{F}(V1,V4,V12), P_f-{F}(V2,V4,V10), P_meet-{F}(V12,V10,V11), P_f-{F}(V6,V4,V12), P_meet-{F}(V12,V10,V13) | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #17: input, references = 13, size of lhs = 2:
% 25.25/25.43 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #18: input, references = 19, size of lhs = 2:
% 25.25/25.43 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #19: input, references = 20, size of lhs = 2:
% 25.25/25.43 #-{F} V0, #-{F} V1 | EXISTS V2: P_f-{T}(V0,V1,V2)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #20: input, references = 4, size of lhs = 0:
% 25.25/25.43 FALSE | EXISTS V0: P_n0-{T}(V0)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #21: input, references = 4, size of lhs = 0:
% 25.25/25.43 FALSE | EXISTS V0: P_aa-{T}(V0)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #22: input, references = 5, size of lhs = 0:
% 25.25/25.43 FALSE | EXISTS V0: P_bb-{T}(V0)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #23: input, references = 5, size of lhs = 0:
% 25.25/25.43 FALSE | EXISTS V0: P_dd-{T}(V0)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #24: input, references = 5, size of lhs = 0:
% 25.25/25.43 FALSE | EXISTS V0: P_cc-{T}(V0)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 number of initial rules = 25
% 25.25/25.43
% 25.25/25.43 Simplifiers:
% 25.25/25.43 #25: unsound, references = 3, size of lhs = 3:
% 25.25/25.43 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #26: unsound, references = 3, size of lhs = 3:
% 25.25/25.43 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #27: unsound, references = 3, size of lhs = 3:
% 25.25/25.43 P_f-{F}(V0,V1,V2), P_f-{F}(V0,V1,V5), V2 == V5 | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #28: unsound, references = 3, size of lhs = 3:
% 25.25/25.43 P_n0-{F}(V0), P_n0-{F}(V1), V0 == V1 | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #29: unsound, references = 3, size of lhs = 3:
% 25.25/25.43 P_aa-{F}(V0), P_aa-{F}(V1), V0 == V1 | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #30: unsound, references = 3, size of lhs = 3:
% 25.25/25.43 P_bb-{F}(V0), P_bb-{F}(V1), V0 == V1 | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #31: unsound, references = 3, size of lhs = 3:
% 25.25/25.43 P_dd-{F}(V0), P_dd-{F}(V1), V0 == V1 | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #32: unsound, references = 3, size of lhs = 3:
% 25.25/25.43 P_cc-{F}(V0), P_cc-{F}(V1), V0 == V1 | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 number of simplifiers = 8
% 25.25/25.43
% 25.25/25.43 Learnt:
% 25.25/25.43 #34: exists( #19, #13 ), references = 3, size of lhs = 2:
% 25.25/25.43 P_n0-{F}(V0), #-{F} V1 | P_f-{T}(V1,V0,V0)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #36: exists( #17, #0 ), references = 2, size of lhs = 1:
% 25.25/25.43 #-{F} V0 | P_meet-{T}(V0,V0,V0)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #39: exists( #18, #1 ), references = 2, size of lhs = 1:
% 25.25/25.43 #-{F} V0 | P_join-{T}(V0,V0,V0)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #40: exists( #18, #3 ), references = 11, size of lhs = 1:
% 25.25/25.43 P_meet-{F}(V0,V1,V2) | P_join-{T}(V0,V2,V0)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #42: exists( #17, #4 ), references = 21, size of lhs = 1:
% 25.25/25.43 P_meet-{F}(V0,V1,V2) | P_meet-{T}(V1,V0,V2)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #46: exists( #18, #5 ), references = 25, size of lhs = 1:
% 25.25/25.43 P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #55: mergings( V10 == V11, V3 == V4; #52 ), references = 2, size of lhs = 11:
% 25.25/25.43 P_dd-{F}(V0), P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_join-{F}(V1,V2,V3), P_f-{F}(V3,V0,V4), P_cc-{F}(V5), P_f-{F}(V1,V0,V6), P_f-{F}(V5,V0,V6), P_f-{F}(V2,V0,V7), P_meet-{F}(V6,V7,V8) | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #58: exists( #24, #56 ), references = 1, size of lhs = 9:
% 25.25/25.43 P_dd-{F}(V0), P_n0-{F}(V0), P_aa-{F}(V1), P_f-{F}(V1,V0,V0), P_bb-{F}(V2), P_join-{F}(V1,V2,V3), P_f-{F}(V3,V0,V4), P_f-{F}(V2,V0,V5), P_meet-{F}(V0,V5,V6) | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #60: exists( #19, #11 ), references = 2, size of lhs = 2:
% 25.25/25.43 P_n0-{F}(V0), #-{F} V1 | P_f-{T}(V0,V1,V0)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #64: exists( #18, #7 ), references = 1, size of lhs = 3:
% 25.25/25.43 P_join-{F}(V0,V1,V2), P_join-{F}(V2,V3,V4), P_join-{F}(V1,V3,V5) | P_join-{T}(V0,V5,V4)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #66: exists( #17, #6 ), references = 1, size of lhs = 3:
% 25.25/25.43 P_meet-{F}(V0,V1,V2), P_meet-{F}(V2,V3,V4), P_meet-{F}(V1,V3,V5) | P_meet-{T}(V0,V5,V4)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #68: exists( #19, #12 ), references = 4, size of lhs = 5:
% 25.25/25.43 P_n0-{F}(V0), P_join-{F}(V1,V2,V3), P_f-{F}(V4,V1,V5), P_f-{F}(V4,V2,V6), P_join-{F}(V5,V6,V7) | P_f-{T}(V4,V3,V7)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #72: exists( #17, #2 ), references = 11, size of lhs = 1:
% 25.25/25.43 P_join-{F}(V0,V1,V2) | P_meet-{T}(V0,V2,V0)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #73: exists( #17, #8 ), references = 1, size of lhs = 4:
% 25.25/25.43 P_meet-{F}(V0,V1,V2), P_join-{F}(V3,V2,V4), P_join-{F}(V3,V0,V5), P_join-{F}(V3,V1,V6) | P_meet-{T}(V5,V6,V4)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #74: exists( #17, #9 ), references = 1, size of lhs = 4:
% 25.25/25.43 P_join-{F}(V0,V1,V2), P_meet-{F}(V3,V0,V4), P_meet-{F}(V3,V1,V5), P_join-{F}(V4,V5,V6) | P_meet-{T}(V3,V2,V6)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #76: exists( #18, #12 ), references = 6, size of lhs = 5:
% 25.25/25.43 P_n0-{F}(V0), P_join-{F}(V1,V2,V3), P_f-{F}(V4,V3,V5), P_f-{F}(V4,V1,V6), P_f-{F}(V4,V2,V7) | P_join-{T}(V6,V7,V5)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #80: exists( #19, #15 ), references = 3, size of lhs = 14:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_join-{F}(V1,V2,V3), P_dd-{F}(V4), P_cc-{F}(V5), P_join-{F}(V5,V2,V6), P_f-{F}(V6,V4,V7), P_f-{F}(V1,V4,V8), P_f-{F}(V2,V4,V9), P_meet-{F}(V8,V9,V10), P_f-{F}(V5,V4,V11), P_meet-{F}(V11,V9,V12), V10 == V12 | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #81: exists( #19, #10 ), references = 11, size of lhs = 4:
% 25.25/25.43 P_join-{F}(V0,V1,V2), P_f-{F}(V0,V3,V4), P_f-{F}(V1,V3,V5), P_join-{F}(V4,V5,V6) | P_f-{T}(V2,V3,V6)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #84: exists( #18, #82 ), references = 3, size of lhs = 13:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_dd-{F}(V3), P_cc-{F}(V4), P_join-{F}(V4,V2,V5), P_f-{F}(V5,V3,V6), P_f-{F}(V1,V3,V7), P_f-{F}(V2,V3,V8), P_meet-{F}(V7,V8,V9), P_f-{F}(V4,V3,V10), P_meet-{F}(V10,V8,V11), V9 == V11 | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #87: exists( #17, #85 ), references = 2, size of lhs = 11:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_dd-{F}(V3), P_cc-{F}(V4), P_join-{F}(V4,V2,V5), P_f-{F}(V5,V3,V6), P_f-{F}(V1,V3,V7), P_f-{F}(V2,V3,V8), P_f-{F}(V4,V3,V9), P_meet-{F}(V9,V8,V10) | P_meet-{T}(V8,V7,V10)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #96: exists( #18, #94 ), references = 3, size of lhs = 11:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_dd-{F}(V3), P_cc-{F}(V4), P_join-{F}(V4,V2,V5), P_f-{F}(V5,V3,V6), P_f-{F}(V2,V3,V7), P_f-{F}(V1,V3,V8), P_join-{F}(V7,V8,V9), V9 == V6 | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #106: mergings( V3 == V6, V4 == V7, V0 == V8; #102 ), references = 1, size of lhs = 7:
% 25.25/25.43 P_bb-{F}(V0), P_cc-{F}(V0), P_join-{F}(V0,V0,V0), P_n0-{F}(V1), P_aa-{F}(V2), P_dd-{F}(V3), P_f-{F}(V2,V3,V4) | P_f-{T}(V0,V3,V4)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #115: mergings( V10 == V11, V8 == V12, V9 == V13; #111 ), references = 3, size of lhs = 12:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_dd-{F}(V3), P_cc-{F}(V4), P_join-{F}(V4,V2,V5), P_f-{F}(V5,V3,V6), P_f-{F}(V4,V3,V7), P_f-{F}(V1,V3,V7), P_f-{F}(V2,V3,V8), P_meet-{F}(V7,V8,V9), P_join-{F}(V7,V8,V10) | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #128: exists( #17, #122 ), references = 2, size of lhs = 11:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_dd-{F}(V3), P_cc-{F}(V4), P_join-{F}(V4,V2,V5), P_f-{F}(V5,V3,V6), P_f-{F}(V1,V3,V7), P_f-{F}(V2,V3,V8), P_meet-{F}(V7,V8,V9), P_f-{F}(V4,V3,V10) | P_meet-{T}(V8,V10,V9)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #129: exists( #17, #123 ), references = 1, size of lhs = 12:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_join-{F}(V1,V2,V3), P_dd-{F}(V4), P_cc-{F}(V5), P_join-{F}(V5,V2,V6), P_f-{F}(V6,V4,V7), P_f-{F}(V1,V4,V8), P_f-{F}(V2,V4,V9), P_meet-{F}(V8,V9,V10), P_f-{F}(V5,V4,V11) | P_meet-{T}(V9,V11,V10)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #130: exists( #17, #124 ), references = 1, size of lhs = 13:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_join-{F}(V1,V2,V3), P_dd-{F}(V4), P_f-{F}(V3,V4,V5), P_cc-{F}(V6), P_join-{F}(V6,V2,V7), P_f-{F}(V7,V4,V8), P_f-{F}(V1,V4,V9), P_f-{F}(V2,V4,V10), P_meet-{F}(V9,V10,V11), P_f-{F}(V6,V4,V12) | P_meet-{T}(V10,V12,V11)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #140: mergings( V3 == V4, V4 == V5; #137 ), references = 1, size of lhs = 16:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_dd-{F}(V3), P_cc-{F}(V4), P_join-{F}(V4,V2,V5), P_f-{F}(V5,V3,V6), P_f-{F}(V1,V3,V7), P_f-{F}(V2,V3,V8), P_meet-{F}(V7,V8,V8), P_f-{F}(V4,V9,V8), P_join-{F}(V3,V9,V10), P_f-{F}(V4,V10,V11), P_f-{F}(V4,V12,V11), P_join-{F}(V3,V13,V12), P_f-{F}(V4,V13,V14) | P_f-{T}(V4,V3,V11)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #147: exists( #19, #145 ), references = 1, size of lhs = 13:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_dd-{F}(V3), P_cc-{F}(V4), P_join-{F}(V4,V2,V5), P_f-{F}(V5,V3,V6), P_f-{F}(V1,V3,V7), P_f-{F}(V2,V3,V8), P_meet-{F}(V7,V8,V9), P_f-{F}(V10,V3,V9), P_join-{F}(V4,V10,V11), P_f-{F}(V11,V3,V12) | P_f-{T}(V4,V3,V12)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #153: exists( #18, #10 ), references = 10, size of lhs = 4:
% 25.25/25.43 P_join-{F}(V0,V1,V2), P_f-{F}(V2,V3,V4), P_f-{F}(V0,V3,V5), P_f-{F}(V1,V3,V6) | P_join-{T}(V5,V6,V4)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #162: exists( #19, #84 ), references = 1, size of lhs = 12:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_dd-{F}(V3), P_cc-{F}(V4), P_join-{F}(V4,V2,V5), P_f-{F}(V1,V3,V6), P_f-{F}(V2,V3,V7), P_meet-{F}(V6,V7,V8), P_f-{F}(V4,V3,V9), P_meet-{F}(V9,V7,V10), V8 == V10 | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #163: exists( #19, #80 ), references = 1, size of lhs = 13:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_join-{F}(V1,V2,V3), P_dd-{F}(V4), P_cc-{F}(V5), P_join-{F}(V5,V2,V6), P_f-{F}(V1,V4,V7), P_f-{F}(V2,V4,V8), P_meet-{F}(V7,V8,V9), P_f-{F}(V5,V4,V10), P_meet-{F}(V10,V8,V11), V9 == V11 | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #164: exists( #19, #15 ), references = 1, size of lhs = 14:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_join-{F}(V1,V2,V3), P_dd-{F}(V4), P_f-{F}(V3,V4,V5), P_cc-{F}(V6), P_join-{F}(V6,V2,V7), P_f-{F}(V1,V4,V8), P_f-{F}(V2,V4,V9), P_meet-{F}(V8,V9,V10), P_f-{F}(V6,V4,V11), P_meet-{F}(V11,V9,V12), V10 == V12 | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #171: exists( #17, #165 ), references = 5, size of lhs = 10:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_dd-{F}(V3), P_cc-{F}(V4), P_join-{F}(V4,V2,V5), P_f-{F}(V1,V3,V6), P_f-{F}(V2,V3,V7), P_meet-{F}(V6,V7,V8), P_f-{F}(V4,V3,V9) | P_meet-{T}(V7,V9,V8)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #172: exists( #17, #166 ), references = 1, size of lhs = 11:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_join-{F}(V1,V2,V3), P_dd-{F}(V4), P_cc-{F}(V5), P_join-{F}(V5,V2,V6), P_f-{F}(V1,V4,V7), P_f-{F}(V2,V4,V8), P_meet-{F}(V7,V8,V9), P_f-{F}(V5,V4,V10) | P_meet-{T}(V8,V10,V9)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #173: exists( #17, #167 ), references = 1, size of lhs = 12:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_join-{F}(V1,V2,V3), P_dd-{F}(V4), P_f-{F}(V3,V4,V5), P_cc-{F}(V6), P_join-{F}(V6,V2,V7), P_f-{F}(V1,V4,V8), P_f-{F}(V2,V4,V9), P_meet-{F}(V8,V9,V10), P_f-{F}(V6,V4,V11) | P_meet-{T}(V9,V11,V10)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #189: mergings( V3 == V10, V4 == V11, V5 == V12, V0 == V15, V6 == V16; #182 ), references = 1, size of lhs = 13:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_join-{F}(V1,V2,V3), P_dd-{F}(V4), P_f-{F}(V1,V4,V5), P_f-{F}(V2,V4,V6), P_meet-{F}(V5,V6,V7), P_f-{F}(V3,V4,V8), P_cc-{F}(V9), P_join-{F}(V9,V2,V10), P_join-{F}(V9,V11,V10), P_f-{F}(V11,V4,V7) | P_f-{T}(V9,V4,V8)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #197: mergings( V3 == V10, V4 == V11, V7 == V16, V5 == V12, V8 == V15, V0 == V13, V6 == V14; #183 ), references = 1, size of lhs = 12:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_dd-{F}(V3), P_cc-{F}(V4), P_join-{F}(V4,V2,V5), P_f-{F}(V2,V3,V6), P_f-{F}(V1,V3,V7), P_meet-{F}(V7,V6,V8), P_join-{F}(V6,V7,V9), P_join-{F}(V4,V10,V5), P_f-{F}(V10,V3,V8) | P_f-{T}(V4,V3,V9)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #215: mergings( V12 == V13, V13 == V15, V15 == V18, V3 == V5, V5 == V7, V4 == V6, V6 == V8, V11 == V14, V18 == V16; #204 ), references = 1, size of lhs = 12:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_join-{F}(V1,V2,V3), P_dd-{F}(V4), P_f-{F}(V3,V4,V5), P_f-{F}(V1,V4,V5), P_cc-{F}(V6), P_f-{F}(V2,V4,V7), P_meet-{F}(V5,V7,V7), P_join-{F}(V5,V7,V8), P_join-{F}(V7,V5,V9) | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #228: mergings( V18 == V19, V13 == V14, V14 == V17, V17 == V20, V3 == V5, V5 == V7, V4 == V6, V6 == V8, V9 == V10, V12 == V15, V20 == V19, V15 == V16; #205 ), references = 1, size of lhs = 11:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_join-{F}(V1,V2,V3), P_dd-{F}(V4), P_f-{F}(V1,V4,V5), P_f-{F}(V3,V4,V5), P_cc-{F}(V6), P_f-{F}(V2,V4,V7), P_meet-{F}(V5,V7,V7), P_join-{F}(V7,V5,V8) | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #236: exists( #18, #96 ), references = 1, size of lhs = 9:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_dd-{F}(V3), P_cc-{F}(V4), P_join-{F}(V4,V2,V5), P_f-{F}(V5,V3,V6), P_f-{F}(V2,V3,V7), P_f-{F}(V1,V3,V8) | P_join-{T}(V7,V8,V6)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #260: exists( #19, #14 ), references = 3, size of lhs = 8:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_join-{F}(V1,V2,V3), P_dd-{F}(V4), P_f-{F}(V3,V4,V5), P_cc-{F}(V6), P_join-{F}(V6,V2,V7) | P_f-{T}(V7,V4,V5)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #287: exists( #19, #284 ), references = 1, size of lhs = 16:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_dd-{F}(V3), P_cc-{F}(V4), P_join-{F}(V4,V2,V5), P_f-{F}(V1,V3,V6), P_f-{F}(V2,V3,V7), P_meet-{F}(V6,V7,V8), P_join-{F}(V9,V4,V4), P_f-{F}(V9,V3,V10), P_join-{F}(V10,V7,V11), P_join-{F}(V10,V8,V12), P_f-{F}(V13,V3,V11), P_join-{F}(V14,V4,V13), P_f-{F}(V14,V3,V15) | P_f-{T}(V4,V3,V12)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #289: mergings( V3 == V4; #286 ), references = 1, size of lhs = 10:
% 25.25/25.43 P_n0-{F}(V0), P_join-{F}(V1,V2,V1), P_join-{F}(V3,V1,V4), P_f-{F}(V4,V5,V6), P_f-{F}(V3,V5,V7), P_f-{F}(V1,V8,V7), P_join-{F}(V8,V5,V9), P_join-{F}(V5,V10,V9), P_f-{F}(V1,V10,V11), P_f-{F}(V2,V5,V11) | P_f-{T}(V1,V5,V6)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #331: mergings( V3 == V10, V10 == V11; #328 ), references = 1, size of lhs = 20:
% 25.25/25.43 P_aa-{F}(V0), P_bb-{F}(V1), P_dd-{F}(V2), P_cc-{F}(V3), P_join-{F}(V3,V1,V4), P_f-{F}(V0,V2,V5), P_f-{F}(V1,V2,V6), P_meet-{F}(V5,V6,V7), P_n0-{F}(V8), P_f-{F}(V3,V9,V10), P_meet-{F}(V6,V10,V11), P_join-{F}(V9,V2,V12), P_join-{F}(V2,V13,V12), P_f-{F}(V3,V13,V14), P_meet-{F}(V6,V14,V15), P_join-{F}(V7,V15,V16), V11 == V16, P_f-{F}(V17,V2,V10), P_join-{F}(V3,V18,V17), P_f-{F}(V18,V2,V19) | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #345: mergings( V3 == V10, V10 == V11; #342 ), references = 1, size of lhs = 18:
% 25.25/25.43 P_aa-{F}(V0), P_bb-{F}(V1), P_dd-{F}(V2), P_cc-{F}(V3), P_join-{F}(V3,V1,V4), P_f-{F}(V0,V2,V5), P_f-{F}(V1,V2,V6), P_meet-{F}(V5,V6,V7), P_n0-{F}(V8), P_f-{F}(V3,V9,V7), P_join-{F}(V2,V9,V10), P_join-{F}(V2,V11,V10), P_f-{F}(V3,V11,V12), P_join-{F}(V12,V6,V13), P_join-{F}(V12,V7,V14), P_f-{F}(V15,V2,V13), P_join-{F}(V16,V3,V15), P_f-{F}(V16,V2,V17) | P_f-{T}(V3,V2,V14)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #364: exists( #18, #8 ), references = 2, size of lhs = 4:
% 25.25/25.43 P_meet-{F}(V0,V1,V2), P_join-{F}(V3,V0,V4), P_join-{F}(V3,V1,V5), P_meet-{F}(V4,V5,V6) | P_join-{T}(V3,V2,V6)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #378: exists( #19, #376 ), references = 1, size of lhs = 11:
% 25.25/25.43 P_n0-{F}(V0), P_join-{F}(V1,V2,V2), P_f-{F}(V3,V2,V4), P_join-{F}(V3,V5,V6), P_f-{F}(V6,V2,V7), P_f-{F}(V5,V1,V8), P_meet-{F}(V7,V9,V8), P_f-{F}(V10,V2,V9), P_join-{F}(V5,V10,V11), P_f-{F}(V11,V2,V12), P_meet-{F}(V7,V12,V13) | P_f-{T}(V5,V2,V13)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #385: exists( #17, #383 ), references = 2, size of lhs = 5:
% 25.25/25.43 P_join-{F}(V0,V1,V1), P_join-{F}(V0,V2,V2), P_meet-{F}(V2,V3,V0), P_join-{F}(V3,V1,V4), P_meet-{F}(V2,V4,V5) | P_meet-{T}(V1,V2,V5)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #397: exists( #19, #395 ), references = 1, size of lhs = 16:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_dd-{F}(V3), P_cc-{F}(V4), P_join-{F}(V4,V2,V5), P_f-{F}(V1,V3,V6), P_f-{F}(V2,V3,V7), P_meet-{F}(V6,V7,V8), P_join-{F}(V8,V9,V9), P_join-{F}(V7,V9,V10), P_meet-{F}(V9,V10,V11), P_meet-{F}(V9,V12,V8), P_f-{F}(V13,V3,V12), P_join-{F}(V13,V4,V14), P_f-{F}(V14,V3,V10) | P_f-{T}(V4,V3,V11)
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #414: mergings( V13 == V17, V17 == V20, V3 == V5, V5 == V7, V4 == V6, V6 == V8, V12 == V16, V14 == V18; #404 ), references = 2, size of lhs = 15:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_join-{F}(V1,V2,V3), P_dd-{F}(V4), P_f-{F}(V3,V4,V5), P_f-{F}(V1,V4,V6), P_cc-{F}(V7), P_f-{F}(V2,V4,V8), P_meet-{F}(V6,V8,V9), P_join-{F}(V9,V10,V10), P_join-{F}(V8,V10,V5), P_meet-{F}(V10,V5,V6), P_meet-{F}(V10,V8,V9), P_join-{F}(V6,V8,V11) | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #426: mergings( V20 == V21, V14 == V19, V19 == V22, V3 == V5, V5 == V7, V4 == V6, V6 == V8, V9 == V10, V12 == V18, V13 == V17, V15 == V21; #405 ), references = 2, size of lhs = 14:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_join-{F}(V1,V2,V3), P_dd-{F}(V4), P_f-{F}(V1,V4,V5), P_f-{F}(V3,V4,V6), P_cc-{F}(V7), P_f-{F}(V2,V4,V8), P_meet-{F}(V5,V8,V9), P_join-{F}(V9,V10,V10), P_join-{F}(V8,V10,V6), P_meet-{F}(V10,V6,V5), P_meet-{F}(V10,V8,V9) | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #442: mergings( V0 == V13, V12 == V10, V3 == V4, V4 == V6, V1 == V5, V5 == V9, V9 == V7; #433 ), references = 1, size of lhs = 9:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_dd-{F}(V3), P_f-{F}(V1,V3,V1), P_f-{F}(V2,V3,V2), P_cc-{F}(V4), P_meet-{F}(V1,V2,V5), P_join-{F}(V5,V1,V1) | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #451: mergings( V12 == V13, V0 == V11, V11 == V14, V13 == V9, V3 == V4, V4 == V6, V5 == V1, V1 == V8; #434 ), references = 1, size of lhs = 9:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_dd-{F}(V3), P_f-{F}(V1,V3,V1), P_f-{F}(V2,V3,V2), P_cc-{F}(V4), P_meet-{F}(V1,V2,V5), P_join-{F}(V5,V1,V1) | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #463: mergings( V3 == V4, V4 == V6, V5 == V1; #458 ), references = 1, size of lhs = 7:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_dd-{F}(V3), P_f-{F}(V1,V3,V1), P_f-{F}(V2,V3,V2), P_cc-{F}(V4) | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #525: exists( #18, #521 ), references = 2, size of lhs = 13:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_join-{F}(V1,V2,V3), P_dd-{F}(V4), P_f-{F}(V1,V4,V5), P_cc-{F}(V6), P_f-{F}(V2,V4,V7), P_meet-{F}(V5,V7,V8), P_join-{F}(V8,V5,V5), P_f-{F}(V9,V4,V5), P_join-{F}(V9,V10,V3), P_f-{F}(V10,V4,V7) | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #526: exists( #18, #522 ), references = 2, size of lhs = 13:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_join-{F}(V1,V2,V3), P_dd-{F}(V4), P_f-{F}(V1,V4,V5), P_cc-{F}(V6), P_f-{F}(V2,V4,V7), P_meet-{F}(V5,V7,V8), P_join-{F}(V8,V5,V5), P_f-{F}(V9,V4,V5), P_join-{F}(V9,V10,V3), P_f-{F}(V10,V4,V7) | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #535: exists( #17, #531 ), references = 1, size of lhs = 11:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_join-{F}(V1,V2,V3), P_dd-{F}(V4), P_f-{F}(V1,V4,V5), P_cc-{F}(V6), P_f-{F}(V2,V4,V7), P_f-{F}(V8,V4,V5), P_join-{F}(V8,V9,V3), P_f-{F}(V9,V4,V7) | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #536: exists( #17, #532 ), references = 1, size of lhs = 11:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_join-{F}(V1,V2,V3), P_dd-{F}(V4), P_f-{F}(V1,V4,V5), P_cc-{F}(V6), P_f-{F}(V2,V4,V7), P_f-{F}(V8,V4,V5), P_join-{F}(V8,V9,V3), P_f-{F}(V9,V4,V7) | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #541: exists( #18, #537 ), references = 1, size of lhs = 7:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_dd-{F}(V3), P_cc-{F}(V4), P_f-{F}(V1,V3,V5), P_f-{F}(V2,V3,V6) | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #544: exists( #19, #539 ), references = 1, size of lhs = 6:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_dd-{F}(V3), P_cc-{F}(V4), P_f-{F}(V1,V3,V5) | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #547: exists( #24, #542 ), references = 3, size of lhs = 5:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_dd-{F}(V3), P_f-{F}(V1,V3,V4) | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #551: mergings( V1 == V2; #549 ), references = 1, size of lhs = 3:
% 25.25/25.43 P_aa-{F}(V0), P_n0-{F}(V0), P_bb-{F}(V1) | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #554: mergings( V1 == V2; #552 ), references = 1, size of lhs = 2:
% 25.25/25.43 P_aa-{F}(V0), P_n0-{F}(V0) | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #558: exists( #19, #547 ), references = 1, size of lhs = 4:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2), P_dd-{F}(V3) | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #560: exists( #23, #555 ), references = 1, size of lhs = 3:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1), P_bb-{F}(V2) | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #562: exists( #22, #559 ), references = 1, size of lhs = 2:
% 25.25/25.43 P_n0-{F}(V0), P_aa-{F}(V1) | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #564: exists( #21, #561 ), references = 1, size of lhs = 1:
% 25.25/25.43 P_n0-{F}(V0) | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 #566: exists( #20, #563 ), references = 1, size of lhs = 0:
% 25.25/25.43 FALSE | FALSE
% 25.25/25.43 (used 0 times, uses = {})
% 25.25/25.43
% 25.25/25.43 number of learnt formulas = 68
% 25.25/25.43
% 25.25/25.43
% 25.25/25.43 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.25/25.43
% 25.25/25.43 randbase = 1
%------------------------------------------------------------------------------