TSTP Solution File: LAT035-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT035-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.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 06:07:49 EDT 2022
% Result : Unsatisfiable 5.12s 5.28s
% Output : Refutation 5.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT035-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 20:32:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 5.12/5.28 GeoParameters:
% 5.12/5.28
% 5.12/5.28 tptp_input = 1
% 5.12/5.28 tptp_output = 0
% 5.12/5.28 nonempty = 1
% 5.12/5.28 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.12/5.28 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 5.12/5.28
% 5.12/5.28
% 5.12/5.28 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.12/5.28 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.12/5.28
% 5.12/5.28 RuleSystem INPUT:
% 5.12/5.28
% 5.12/5.28 Initial Rules:
% 5.12/5.28 #0: input, references = 4, size of lhs = 2:
% 5.12/5.28 P_meet-{F}(V0,V0,V1), V1 == V0 | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #1: input, references = 4, size of lhs = 2:
% 5.12/5.28 P_join-{F}(V0,V0,V1), V1 == V0 | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #2: input, references = 3, size of lhs = 3:
% 5.12/5.28 P_join-{F}(V0,V1,V2), P_meet-{F}(V0,V2,V3), V3 == V0 | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #3: input, references = 4, size of lhs = 3:
% 5.12/5.28 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V2,V3), V3 == V0 | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #4: input, references = 4, size of lhs = 3:
% 5.12/5.28 P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V0,V3), V2 == V3 | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #5: input, references = 4, size of lhs = 3:
% 5.12/5.28 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #6: input, references = 4, size of lhs = 5:
% 5.12/5.28 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
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #7: input, references = 3, size of lhs = 5:
% 5.12/5.28 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
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #8: input, references = 4, size of lhs = 3:
% 5.12/5.28 P_n0-{F}(V0), P_meet-{F}(V1,V0,V2), V2 == V0 | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #9: input, references = 3, size of lhs = 3:
% 5.12/5.28 P_n0-{F}(V0), P_join-{F}(V1,V0,V2), V2 == V1 | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #10: input, references = 4, size of lhs = 4:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_meet-{F}(V2,V1,V3), V3 == V2 | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #11: input, references = 3, size of lhs = 4:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_join-{F}(V2,V1,V3), V3 == V1 | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #12: input, references = 5, size of lhs = 8:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_meet-{F}(V2,V3,V2), P_join-{F}(V2,V5,V6), P_meet-{F}(V3,V6,V7), P_meet-{F}(V5,V3,V8), P_join-{F}(V2,V8,V9), V7 == V9 | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #13: input, references = 5, size of lhs = 8:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_join-{F}(V2,V3,V4), P_k-{F}(V4,V5), P_k-{F}(V2,V6), P_k-{F}(V3,V7), P_meet-{F}(V6,V7,V8), V5 == V8 | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #14: input, references = 5, size of lhs = 8:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_meet-{F}(V2,V3,V4), P_k-{F}(V4,V5), P_k-{F}(V2,V6), P_k-{F}(V3,V7), P_join-{F}(V6,V7,V8), V5 == V8 | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #15: input, references = 4, size of lhs = 4:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), V2 == V1 | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #16: input, references = 4, size of lhs = 5:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_k-{F}(V1,V3), V3 == V0 | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #17: input, references = 6, size of lhs = 10:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_k-{F}(V1,V3), P_meet-{F}(V4,V5,V6), P_f-{F}(V6,V7), P_f-{F}(V4,V8), P_f-{F}(V5,V9), P_join-{F}(V8,V9,V10), V7 == V10 | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #18: input, references = 4, size of lhs = 6:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_k-{F}(V1,V3), P_f-{F}(V1,V4), V4 == V0 | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #19: input, references = 9, size of lhs = 16:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_join-{F}(V5,V6,V7), P_k-{F}(V7,V8), P_f-{F}(V8,V14), P_k-{F}(V5,V10), P_f-{F}(V10,V11), P_k-{F}(V6,V12), P_f-{F}(V12,V13), P_join-{F}(V11,V13,V14), P_f-{F}(V2,V0) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #20: input, references = 10, size of lhs = 2:
% 5.12/5.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #21: input, references = 10, size of lhs = 2:
% 5.12/5.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #22: input, references = 4, size of lhs = 0:
% 5.12/5.28 FALSE | EXISTS V0: P_n0-{T}(V0)
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #23: input, references = 4, size of lhs = 0:
% 5.12/5.28 FALSE | EXISTS V0: P_n1-{T}(V0)
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #24: input, references = 20, size of lhs = 1:
% 5.12/5.28 #-{F} V0 | EXISTS V1: P_k-{T}(V0,V1)
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #25: input, references = 17, size of lhs = 1:
% 5.12/5.28 #-{F} V0 | EXISTS V1: P_f-{T}(V0,V1)
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #26: input, references = 4, size of lhs = 0:
% 5.12/5.28 FALSE | EXISTS V0: P_aa-{T}(V0)
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #27: input, references = 5, size of lhs = 0:
% 5.12/5.28 FALSE | EXISTS V0: P_bb-{T}(V0)
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 number of initial rules = 28
% 5.12/5.28
% 5.12/5.28 Simplifiers:
% 5.12/5.28 #28: unsound, references = 3, size of lhs = 3:
% 5.12/5.28 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #29: unsound, references = 3, size of lhs = 3:
% 5.12/5.28 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #30: unsound, references = 3, size of lhs = 3:
% 5.12/5.28 P_n0-{F}(V0), P_n0-{F}(V1), V0 == V1 | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #31: unsound, references = 3, size of lhs = 3:
% 5.12/5.28 P_n1-{F}(V0), P_n1-{F}(V1), V0 == V1 | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #32: unsound, references = 3, size of lhs = 3:
% 5.12/5.28 P_k-{F}(V0,V1), P_k-{F}(V0,V3), V1 == V3 | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #33: unsound, references = 3, size of lhs = 3:
% 5.12/5.28 P_f-{F}(V0,V1), P_f-{F}(V0,V3), V1 == V3 | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #34: unsound, references = 3, size of lhs = 3:
% 5.12/5.28 P_aa-{F}(V0), P_aa-{F}(V1), V0 == V1 | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #35: unsound, references = 3, size of lhs = 3:
% 5.12/5.28 P_bb-{F}(V0), P_bb-{F}(V1), V0 == V1 | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 number of simplifiers = 8
% 5.12/5.28
% 5.12/5.28 Learnt:
% 5.12/5.28 #38: exists( #24, #15 ), references = 2, size of lhs = 2:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1) | P_k-{T}(V0,V1)
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #40: exists( #20, #10 ), references = 6, size of lhs = 3:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), #-{F} V2 | P_meet-{T}(V2,V1,V2)
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #43: exists( #20, #0 ), references = 1, size of lhs = 1:
% 5.12/5.28 #-{F} V0 | P_meet-{T}(V0,V0,V0)
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #47: exists( #21, #1 ), references = 2, size of lhs = 1:
% 5.12/5.28 #-{F} V0 | P_join-{T}(V0,V0,V0)
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #48: exists( #21, #3 ), references = 9, size of lhs = 1:
% 5.12/5.28 P_meet-{F}(V0,V1,V2) | P_join-{T}(V0,V2,V0)
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #51: exists( #20, #8 ), references = 13, size of lhs = 2:
% 5.12/5.28 P_n0-{F}(V0), #-{F} V1 | P_meet-{T}(V1,V0,V0)
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #53: exists( #21, #5 ), references = 5, size of lhs = 1:
% 5.12/5.28 P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #55: exists( #25, #18 ), references = 2, size of lhs = 4:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_k-{F}(V1,V3) | P_f-{T}(V1,V0)
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #58: exists( #25, #56 ), references = 1, size of lhs = 12:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_join-{F}(V5,V6,V7), P_k-{F}(V7,V8), P_k-{F}(V5,V8), P_k-{F}(V6,V8) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #62: mergings( V3 == V0; #60 ), references = 1, size of lhs = 6:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V1), P_aa-{F}(V1), P_bb-{F}(V1), P_join-{F}(V1,V1,V1) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #64: exists( #24, #16 ), references = 1, size of lhs = 3:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2) | P_k-{T}(V1,V0)
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #67: exists( #20, #4 ), references = 11, size of lhs = 1:
% 5.12/5.28 P_meet-{F}(V0,V1,V2) | P_meet-{T}(V1,V0,V2)
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #68: exists( #20, #12 ), references = 1, size of lhs = 6:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_meet-{F}(V2,V3,V2), P_join-{F}(V2,V4,V5), P_meet-{F}(V4,V3,V6), P_join-{F}(V2,V6,V7) | P_meet-{T}(V3,V5,V7)
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #74: mergings( V2 == V3; #72 ), references = 2, size of lhs = 13:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_join-{F}(V5,V6,V7), P_k-{F}(V7,V8), P_k-{F}(V6,V8), P_k-{F}(V5,V9), P_f-{F}(V9,V0) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #77: mergings( V2 == V3; #75 ), references = 1, size of lhs = 11:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_join-{F}(V5,V6,V6), P_k-{F}(V5,V7), P_f-{F}(V7,V0) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #85: mergings( V1 == V2, V2 == V3, V5 == V8; #81 ), references = 1, size of lhs = 7:
% 5.12/5.28 P_aa-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V1,V2), P_f-{F}(V1,V3), P_k-{F}(V0,V4), P_f-{F}(V4,V0) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #90: mergings( V2 == V3; #88 ), references = 3, size of lhs = 13:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_join-{F}(V5,V6,V7), P_k-{F}(V7,V8), P_k-{F}(V5,V8), P_k-{F}(V6,V9), P_f-{F}(V9,V0) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #93: mergings( V2 == V3; #91 ), references = 2, size of lhs = 11:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_join-{F}(V5,V6,V5), P_k-{F}(V6,V7), P_f-{F}(V7,V0) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #101: mergings( V2 == V4, V3 == V5; #98 ), references = 1, size of lhs = 14:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_join-{F}(V5,V6,V7), P_k-{F}(V7,V8), P_f-{F}(V8,V1), P_k-{F}(V5,V9), P_k-{F}(V6,V10), P_f-{F}(V10,V1) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #105: mergings( V2 == V4, V3 == V5; #102 ), references = 1, size of lhs = 13:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_join-{F}(V5,V6,V7), P_k-{F}(V7,V8), P_f-{F}(V8,V1), P_k-{F}(V6,V9), P_f-{F}(V9,V1) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #111: exists( #21, #17 ), references = 1, size of lhs = 8:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_k-{F}(V1,V3), P_f-{F}(V4,V5), P_meet-{F}(V4,V6,V7), P_f-{F}(V7,V8), P_f-{F}(V6,V9) | P_join-{T}(V5,V9,V8)
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #119: mergings( V2 == V6, V3 == V7, V4 == V8, V5 == V9; #114 ), references = 4, size of lhs = 17:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_join-{F}(V5,V6,V7), P_k-{F}(V7,V8), P_f-{F}(V8,V9), P_k-{F}(V5,V10), P_k-{F}(V6,V11), P_f-{F}(V11,V12), P_f-{F}(V13,V12), P_meet-{F}(V13,V10,V14), P_f-{F}(V14,V9) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #125: mergings( V2 == V3, V11 == V13; #122 ), references = 2, size of lhs = 14:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_join-{F}(V5,V6,V7), P_k-{F}(V7,V8), P_f-{F}(V8,V9), P_f-{F}(V0,V9), P_k-{F}(V6,V10), P_f-{F}(V10,V9) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #128: mergings( V0 == V2; #126 ), references = 1, size of lhs = 11:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_k-{F}(V6,V0), P_join-{F}(V5,V6,V7), P_k-{F}(V7,V0) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #133: mergings( V2 == V3; #131 ), references = 4, size of lhs = 7:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_k-{F}(V1,V3), P_f-{F}(V4,V0), P_meet-{F}(V5,V4,V6), P_f-{F}(V6,V7) | P_f-{T}(V5,V7)
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #146: mergings( V2 == V3, V3 == V4, V4 == V8, V5 == V9, V6 == V10, V7 == V11; #138 ), references = 1, size of lhs = 10:
% 5.12/5.28 P_n0-{F}(V0), P_f-{F}(V0,V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_join-{F}(V5,V6,V5) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #153: mergings( V2 == V3, V3 == V4, V4 == V8, V5 == V9, V6 == V10, V7 == V11; #139 ), references = 2, size of lhs = 12:
% 5.12/5.28 P_n0-{F}(V0), P_f-{F}(V0,V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_join-{F}(V5,V6,V7), P_k-{F}(V7,V8), P_k-{F}(V5,V8) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #163: exists( #24, #13 ), references = 4, size of lhs = 6:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V2,V3), P_join-{F}(V2,V4,V5), P_k-{F}(V4,V6), P_meet-{F}(V3,V6,V7) | P_k-{T}(V5,V7)
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #174: mergings( V3 == V5, V4 == V6, V10 == V12, V11 == V13; #167 ), references = 1, size of lhs = 12:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_k-{F}(V5,V7), P_k-{F}(V6,V8), P_f-{F}(V8,V0), P_meet-{F}(V7,V8,V7) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #178: mergings( V3 == V5, V4 == V6, V10 == V11; #168 ), references = 2, size of lhs = 12:
% 5.12/5.28 P_n0-{F}(V0), P_f-{F}(V0,V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_k-{F}(V5,V7), P_k-{F}(V6,V8), P_meet-{F}(V7,V8,V7) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #182: mergings( V3 == V5, V4 == V6, V11 == V14; #169 ), references = 3, size of lhs = 14:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_f-{F}(V0,V7), P_k-{F}(V5,V8), P_k-{F}(V6,V9), P_f-{F}(V9,V7), P_meet-{F}(V8,V9,V10), P_f-{F}(V10,V7) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #190: mergings( V2 == V3; #187 ), references = 1, size of lhs = 10:
% 5.12/5.28 P_n0-{F}(V0), P_f-{F}(V0,V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_k-{F}(V5,V0), P_bb-{F}(V6) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #192: mergings( V2 == V3; #188 ), references = 1, size of lhs = 5:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V2,V0), P_meet-{F}(V3,V2,V4), P_k-{F}(V4,V5) | P_k-{T}(V3,V5)
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #206: mergings( V2 == V3, V3 == V5, V5 == V9, V4 == V6, V6 == V10, V7 == V11, V8 == V12, V9 == V15; #197 ), references = 1, size of lhs = 10:
% 5.12/5.28 P_n0-{F}(V0), P_f-{F}(V0,V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_k-{F}(V5,V1), P_bb-{F}(V6) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #221: mergings( V3 == V4, V4 == V8, V5 == V9, V6 == V10, V7 == V11, V8 == V15; #214 ), references = 2, size of lhs = 12:
% 5.12/5.28 P_n0-{F}(V0), P_f-{F}(V0,V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_k-{F}(V5,V7), P_k-{F}(V6,V8), P_f-{F}(V8,V0) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #230: mergings( V2 == V3, V3 == V7, V4 == V8, V5 == V9, V6 == V10; #224 ), references = 1, size of lhs = 10:
% 5.12/5.28 P_n0-{F}(V0), P_f-{F}(V0,V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_k-{F}(V5,V7) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #237: mergings( V2 == V3, V3 == V7, V4 == V8, V5 == V9, V6 == V10; #231 ), references = 1, size of lhs = 9:
% 5.12/5.28 P_n0-{F}(V0), P_f-{F}(V0,V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #251: mergings( V3 == V5, V4 == V6, V10 == V13, V11 == V12; #244 ), references = 2, size of lhs = 12:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_k-{F}(V5,V7), P_f-{F}(V7,V0), P_k-{F}(V6,V8), P_meet-{F}(V7,V8,V8) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #256: mergings( V3 == V5, V4 == V6, V10 == V16, V12 == V17; #245 ), references = 2, size of lhs = 15:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_k-{F}(V5,V7), P_f-{F}(V7,V8), P_k-{F}(V6,V9), P_f-{F}(V9,V10), P_join-{F}(V8,V10,V11), P_meet-{F}(V7,V9,V12), P_f-{F}(V12,V11) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #261: mergings( V3 == V5, V4 == V6, V10 == V17, V11 == V18; #246 ), references = 4, size of lhs = 16:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_k-{F}(V5,V7), P_k-{F}(V6,V8), P_f-{F}(V8,V9), P_f-{F}(V10,V9), P_meet-{F}(V10,V7,V11), P_f-{F}(V11,V12), P_meet-{F}(V7,V8,V13), P_f-{F}(V13,V12) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #268: mergings( V2 == V4, V3 == V5, V4 == V8; #264 ), references = 1, size of lhs = 9:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_f-{F}(V1,V0), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_aa-{F}(V4), P_k-{F}(V4,V1), P_bb-{F}(V5) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #270: exists( #25, #261 ), references = 1, size of lhs = 12:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_k-{F}(V5,V7), P_k-{F}(V6,V8), P_meet-{F}(V8,V7,V8), P_meet-{F}(V7,V8,V8) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #272: exists( #25, #17 ), references = 4, size of lhs = 8:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_k-{F}(V1,V3), P_f-{F}(V4,V5), P_meet-{F}(V4,V6,V7), P_f-{F}(V6,V8), P_join-{F}(V5,V8,V9) | P_f-{T}(V7,V9)
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #274: exists( #24, #14 ), references = 1, size of lhs = 6:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V2,V3), P_meet-{F}(V2,V4,V5), P_k-{F}(V4,V6), P_join-{F}(V3,V6,V7) | P_k-{T}(V5,V7)
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #277: exists( #20, #6 ), references = 2, size of lhs = 3:
% 5.12/5.28 P_meet-{F}(V0,V1,V2), P_meet-{F}(V2,V3,V4), P_meet-{F}(V1,V3,V5) | P_meet-{T}(V0,V5,V4)
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #278: exists( #20, #13 ), references = 1, size of lhs = 6:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V2,V3), P_join-{F}(V2,V4,V5), P_k-{F}(V5,V6), P_k-{F}(V4,V7) | P_meet-{T}(V3,V7,V6)
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #294: exists( #25, #261 ), references = 2, size of lhs = 14:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_k-{F}(V5,V7), P_k-{F}(V6,V8), P_meet-{F}(V8,V7,V9), P_f-{F}(V9,V10), P_meet-{F}(V7,V8,V11), P_f-{F}(V11,V10) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #295: exists( #25, #119 ), references = 1, size of lhs = 15:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_join-{F}(V5,V6,V7), P_k-{F}(V7,V8), P_f-{F}(V8,V9), P_k-{F}(V5,V10), P_k-{F}(V6,V11), P_meet-{F}(V11,V10,V12), P_f-{F}(V12,V9) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #313: mergings( V3 == V7, V4 == V8, V5 == V9, V6 == V10; #306 ), references = 3, size of lhs = 13:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_k-{F}(V5,V7), P_k-{F}(V6,V8), P_f-{F}(V7,V9), P_f-{F}(V8,V10), P_join-{F}(V9,V10,V11) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #319: mergings( V3 == V7, V4 == V8, V5 == V9, V6 == V10, V14 == V16; #308 ), references = 1, size of lhs = 14:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_k-{F}(V5,V7), P_meet-{F}(V7,V7,V7), P_k-{F}(V6,V8), P_f-{F}(V7,V9), P_f-{F}(V8,V10), P_join-{F}(V9,V10,V10) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #326: mergings( V3 == V7, V4 == V8, V5 == V9, V6 == V10, V14 == V17, V15 == V18; #307 ), references = 3, size of lhs = 13:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_k-{F}(V5,V7), P_k-{F}(V6,V8), P_f-{F}(V7,V9), P_f-{F}(V8,V10), P_join-{F}(V9,V10,V11) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #337: mergings( V2 == V4, V3 == V5; #333 ), references = 1, size of lhs = 11:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_k-{F}(V5,V7), P_f-{F}(V7,V1), P_k-{F}(V6,V8) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #340: mergings( V2 == V4, V3 == V5; #334 ), references = 1, size of lhs = 11:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_k-{F}(V5,V7), P_f-{F}(V7,V1), P_k-{F}(V6,V8) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #359: exists( #21, #12 ), references = 1, size of lhs = 6:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_meet-{F}(V2,V3,V2), P_join-{F}(V2,V4,V5), P_meet-{F}(V3,V5,V6), P_meet-{F}(V4,V3,V7) | P_join-{T}(V2,V7,V6)
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #370: exists( #21, #313 ), references = 1, size of lhs = 12:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_k-{F}(V5,V7), P_k-{F}(V6,V8), P_f-{F}(V7,V9), P_f-{F}(V8,V10) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #371: exists( #21, #326 ), references = 1, size of lhs = 12:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_k-{F}(V5,V7), P_k-{F}(V6,V8), P_f-{F}(V7,V9), P_f-{F}(V8,V10) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #374: exists( #25, #368 ), references = 1, size of lhs = 11:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_k-{F}(V5,V7), P_k-{F}(V6,V8), P_f-{F}(V7,V9) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #375: exists( #25, #369 ), references = 1, size of lhs = 11:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_k-{F}(V5,V7), P_k-{F}(V6,V8), P_f-{F}(V7,V9) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #378: exists( #25, #372 ), references = 1, size of lhs = 10:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_k-{F}(V5,V7), P_k-{F}(V6,V8) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #379: exists( #25, #373 ), references = 1, size of lhs = 10:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_k-{F}(V5,V7), P_k-{F}(V6,V8) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #382: exists( #24, #376 ), references = 1, size of lhs = 9:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_k-{F}(V5,V7) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #383: exists( #24, #377 ), references = 1, size of lhs = 9:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6), P_k-{F}(V5,V7) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #386: exists( #24, #380 ), references = 1, size of lhs = 8:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #387: exists( #24, #381 ), references = 1, size of lhs = 8:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5), P_bb-{F}(V6) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #390: exists( #27, #384 ), references = 1, size of lhs = 7:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4), P_aa-{F}(V5) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #393: exists( #26, #388 ), references = 1, size of lhs = 6:
% 5.12/5.28 P_n0-{F}(V0), P_n1-{F}(V1), P_k-{F}(V0,V2), P_f-{F}(V2,V0), P_k-{F}(V1,V3), P_f-{F}(V1,V4) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #402: exists( #23, #398 ), references = 1, size of lhs = 1:
% 5.12/5.28 P_n0-{F}(V0) | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 #405: exists( #22, #400 ), references = 1, size of lhs = 0:
% 5.12/5.28 FALSE | FALSE
% 5.12/5.28 (used 0 times, uses = {})
% 5.12/5.28
% 5.12/5.28 number of learnt formulas = 68
% 5.12/5.28
% 5.12/5.28
% 5.12/5.28 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.12/5.28
% 5.12/5.28 randbase = 1
%------------------------------------------------------------------------------