TSTP Solution File: LAT017-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT017-1 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n012.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 06:07:47 EDT 2022
% Result : Unsatisfiable 134.10s 134.27s
% Output : Refutation 134.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT017-1 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.06/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 20:12:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 134.10/134.27 GeoParameters:
% 134.10/134.27
% 134.10/134.27 tptp_input = 1
% 134.10/134.27 tptp_output = 0
% 134.10/134.27 nonempty = 1
% 134.10/134.27 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 134.10/134.27 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 134.10/134.27
% 134.10/134.27
% 134.10/134.27 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 134.10/134.27 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 134.10/134.27
% 134.10/134.27 RuleSystem INPUT:
% 134.10/134.27
% 134.10/134.27 Initial Rules:
% 134.10/134.27 #0: input, references = 5, size of lhs = 4:
% 134.10/134.27 P_n1-{F}(V0), P_complement-{F}(V1,V2), P_join-{F}(V2,V1,V3), V3 == V0 | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #1: input, references = 4, size of lhs = 5:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V2,V3), P_meet-{F}(V3,V2,V4), V4 == V1 | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #2: input, references = 5, size of lhs = 5:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_meet-{F}(V2,V3,V4), P_join-{F}(V2,V4,V5), V5 == V2 | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #3: input, references = 4, size of lhs = 5:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_meet-{F}(V2,V3,V4), P_meet-{F}(V3,V2,V5), V4 == V5 | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #4: input, references = 4, size of lhs = 5:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_join-{F}(V2,V3,V4), P_join-{F}(V3,V2,V5), V4 == V5 | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #5: input, references = 5, size of lhs = 7:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_meet-{F}(V2,V3,V5), P_meet-{F}(V5,V4,V6), P_meet-{F}(V3,V4,V7), P_meet-{F}(V2,V7,V8), V6 == V8 | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #6: input, references = 6, size of lhs = 7:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_join-{F}(V2,V3,V5), P_join-{F}(V5,V4,V6), P_join-{F}(V3,V4,V7), P_join-{F}(V2,V7,V8), V6 == V8 | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #7: input, references = 5, size of lhs = 5:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V2,V3), P_complement-{F}(V3,V4), V4 == V2 | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #8: input, references = 5, size of lhs = 6:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V3,V4), P_join-{F}(V3,V4,V5), P_join-{F}(V2,V5,V6), V6 == V5 | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #9: input, references = 5, size of lhs = 8:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_meet-{F}(V2,V3,V4), P_complement-{F}(V2,V5), P_complement-{F}(V3,V6), P_join-{F}(V5,V6,V7), P_complement-{F}(V7,V8), V4 == V8 | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #10: input, references = 8, size of lhs = 16:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_b-{F}(V4), P_complement-{F}(V4,V5), P_join-{F}(V2,V5,V6), P_join-{F}(V2,V4,V7), P_meet-{F}(V6,V7,V8), P_meet-{F}(V3,V8,V9), P_meet-{F}(V3,V4,V10), P_meet-{F}(V3,V5,V11), P_join-{F}(V10,V11,V12), P_meet-{F}(V3,V12,V13), P_join-{F}(V9,V13,V14), P_join-{F}(V2,V14,V0) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #11: input, references = 20, size of lhs = 2:
% 134.10/134.27 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #12: input, references = 11, size of lhs = 1:
% 134.10/134.27 #-{F} V0 | EXISTS V1: P_complement-{T}(V0,V1)
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #13: input, references = 4, size of lhs = 0:
% 134.10/134.27 FALSE | EXISTS V0: P_n1-{T}(V0)
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #14: input, references = 16, size of lhs = 2:
% 134.10/134.27 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #15: input, references = 4, size of lhs = 0:
% 134.10/134.27 FALSE | EXISTS V0: P_n0-{T}(V0)
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #16: input, references = 4, size of lhs = 0:
% 134.10/134.27 FALSE | EXISTS V0: P_a-{T}(V0)
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #17: input, references = 5, size of lhs = 0:
% 134.10/134.27 FALSE | EXISTS V0: P_b-{T}(V0)
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 number of initial rules = 18
% 134.10/134.27
% 134.10/134.27 Simplifiers:
% 134.10/134.27 #18: unsound, references = 3, size of lhs = 3:
% 134.10/134.27 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #19: unsound, references = 3, size of lhs = 3:
% 134.10/134.27 P_complement-{F}(V0,V1), P_complement-{F}(V0,V3), V1 == V3 | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #20: unsound, references = 3, size of lhs = 3:
% 134.10/134.27 P_n1-{F}(V0), P_n1-{F}(V1), V0 == V1 | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #21: unsound, references = 3, size of lhs = 3:
% 134.10/134.27 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #22: unsound, references = 3, size of lhs = 3:
% 134.10/134.27 P_n0-{F}(V0), P_n0-{F}(V1), V0 == V1 | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #23: unsound, references = 3, size of lhs = 3:
% 134.10/134.27 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #24: unsound, references = 3, size of lhs = 3:
% 134.10/134.27 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 number of simplifiers = 7
% 134.10/134.27
% 134.10/134.27 Learnt:
% 134.10/134.27 #26: exists( #11, #0 ), references = 9, size of lhs = 2:
% 134.10/134.27 P_n1-{F}(V0), P_complement-{F}(V1,V2) | P_join-{T}(V2,V1,V0)
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #28: exists( #14, #1 ), references = 10, size of lhs = 3:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V2,V3) | P_meet-{T}(V3,V2,V1)
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #30: exists( #11, #2 ), references = 18, size of lhs = 3:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_meet-{F}(V2,V3,V4) | P_join-{T}(V2,V4,V2)
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #43: mergings( V2 == V3, V3 == V4, V0 == V5; #39 ), references = 1, size of lhs = 2:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1) | P_complement-{T}(V1,V0)
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #51: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #46 ), references = 1, size of lhs = 5:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V2,V3), P_join-{F}(V2,V3,V1), #-{F} V4 | P_complement-{T}(V4,V1)
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #56: exists( #14, #9 ), references = 17, size of lhs = 6:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V2,V3), P_complement-{F}(V4,V5), P_join-{F}(V3,V5,V6), P_complement-{F}(V6,V7) | P_meet-{T}(V2,V4,V7)
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #60: exists( #12, #7 ), references = 12, size of lhs = 3:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V2,V3) | P_complement-{T}(V3,V2)
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #61: exists( #12, #9 ), references = 17, size of lhs = 6:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V2,V3), P_meet-{F}(V2,V4,V5), P_complement-{F}(V4,V6), P_join-{F}(V3,V6,V7) | P_complement-{T}(V7,V5)
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #64: exists( #11, #8 ), references = 3, size of lhs = 5:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V2,V3), P_join-{F}(V2,V3,V4), #-{F} V5 | P_join-{T}(V5,V4,V4)
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #65: exists( #11, #6 ), references = 10, size of lhs = 5:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_join-{F}(V2,V3,V4), P_join-{F}(V4,V5,V6), P_join-{F}(V3,V5,V7) | P_join-{T}(V2,V7,V6)
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #72: exists( #11, #4 ), references = 21, size of lhs = 3:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_join-{F}(V2,V3,V4) | P_join-{T}(V3,V2,V4)
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #73: exists( #11, #6 ), references = 4, size of lhs = 5:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_join-{F}(V2,V3,V4), P_join-{F}(V3,V5,V6), P_join-{F}(V2,V6,V7) | P_join-{T}(V4,V5,V7)
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #103: mergings( V15 == V17, V14 == V16, V18 == V20, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #89 ), references = 1, size of lhs = 16:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_complement-{F}(V2,V4), P_complement-{F}(V4,V2), P_join-{F}(V2,V3,V5), P_complement-{F}(V5,V6), P_meet-{F}(V2,V5,V7), P_meet-{F}(V4,V7,V8), P_join-{F}(V4,V6,V9), P_meet-{F}(V4,V9,V10), P_join-{F}(V8,V10,V11), P_join-{F}(V2,V11,V0), P_complement-{F}(V12,V13), P_join-{F}(V12,V13,V2) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #123: mergings( V18 == V19, V19 == V20, V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #106 ), references = 1, size of lhs = 15:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_complement-{F}(V3,V2), P_meet-{F}(V2,V2,V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V3,V3,V6), P_meet-{F}(V3,V6,V7), P_join-{F}(V5,V7,V8), P_join-{F}(V2,V8,V0), P_complement-{F}(V9,V10), P_join-{F}(V9,V10,V2), P_complement-{F}(V11,V12), P_join-{F}(V11,V12,V2) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #159: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25; #136 ), references = 1, size of lhs = 10:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_complement-{F}(V3,V1), P_complement-{F}(V1,V4), P_join-{F}(V2,V4,V5), P_complement-{F}(V5,V1), P_join-{F}(V2,V3,V6), P_complement-{F}(V6,V1) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #195: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19; #178 ), references = 1, size of lhs = 6:
% 134.10/134.27 P_n1-{F}(V0), P_complement-{F}(V0,V1), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_complement-{F}(V3,V1) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #212: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #206 ), references = 1, size of lhs = 6:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V2,V3), P_meet-{F}(V2,V4,V5), P_complement-{F}(V4,V6), P_complement-{F}(V5,V7) | P_join-{T}(V6,V3,V7)
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #218: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8; #207 ), references = 1, size of lhs = 6:
% 134.10/134.27 P_n0-{F}(V0), P_n1-{F}(V1), P_complement-{F}(V2,V3), P_join-{F}(V4,V3,V3), P_meet-{F}(V2,V5,V4), P_complement-{F}(V5,V6) | P_join-{T}(V6,V3,V1)
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #222: exists( #14, #3 ), references = 9, size of lhs = 3:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_meet-{F}(V2,V3,V4) | P_meet-{T}(V3,V2,V4)
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #259: mergings( V25 == V26, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22; #239 ), references = 2, size of lhs = 22:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_complement-{F}(V3,V4), P_b-{F}(V5), P_complement-{F}(V5,V6), P_join-{F}(V2,V6,V7), P_join-{F}(V2,V5,V8), P_meet-{F}(V3,V5,V9), P_meet-{F}(V3,V6,V10), P_join-{F}(V9,V10,V11), P_join-{F}(V4,V11,V12), P_complement-{F}(V12,V13), P_join-{F}(V13,V11,V14), P_join-{F}(V2,V14,V0), P_complement-{F}(V8,V15), P_complement-{F}(V7,V16), P_join-{F}(V15,V16,V11), P_complement-{F}(V17,V4), P_join-{F}(V18,V11,V17), P_complement-{F}(V19,V18) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #292: mergings( V31 == V33, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30; #264 ), references = 2, size of lhs = 21:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_complement-{F}(V3,V2), P_b-{F}(V4), P_complement-{F}(V4,V5), P_join-{F}(V2,V5,V6), P_join-{F}(V2,V4,V7), P_meet-{F}(V3,V4,V8), P_complement-{F}(V6,V8), P_meet-{F}(V3,V5,V9), P_complement-{F}(V7,V9), P_complement-{F}(V0,V10), P_join-{F}(V10,V9,V9), P_join-{F}(V2,V9,V11), P_join-{F}(V11,V8,V0), P_complement-{F}(V12,V2), P_join-{F}(V13,V8,V12), P_join-{F}(V14,V9,V13), P_complement-{F}(V15,V14) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #328: mergings( V0 == V36, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34; #296 ), references = 1, size of lhs = 20:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_complement-{F}(V3,V2), P_b-{F}(V4), P_complement-{F}(V4,V5), P_meet-{F}(V3,V5,V5), P_join-{F}(V2,V4,V6), P_complement-{F}(V6,V5), P_meet-{F}(V3,V4,V7), P_complement-{F}(V0,V8), P_join-{F}(V8,V5,V5), P_complement-{F}(V9,V2), P_meet-{F}(V9,V10,V7), P_complement-{F}(V10,V5), P_complement-{F}(V11,V2), P_join-{F}(V12,V7,V11), P_join-{F}(V13,V5,V12), P_complement-{F}(V14,V13) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #367: mergings( V39 == V43, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38; #331 ), references = 1, size of lhs = 14:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_complement-{F}(V3,V2), P_b-{F}(V4), P_join-{F}(V2,V4,V5), P_complement-{F}(V5,V6), P_meet-{F}(V3,V6,V6), P_complement-{F}(V4,V6), P_complement-{F}(V0,V7), P_join-{F}(V7,V6,V6), P_join-{F}(V8,V6,V3), P_complement-{F}(V9,V8) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #425: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V10, V4 == V6, V6 == V8, V8 == V11; #417 ), references = 1, size of lhs = 10:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V2,V3), P_meet-{F}(V2,V4,V5), P_complement-{F}(V4,V6), P_join-{F}(V3,V7,V8), P_join-{F}(V6,V8,V9), P_join-{F}(V0,V7,V10), P_join-{F}(V5,V9,V11), V10 == V11 | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #434: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V10, V4 == V6, V6 == V8, V8 == V11; #426 ), references = 1, size of lhs = 10:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V2,V3), P_meet-{F}(V2,V4,V5), P_complement-{F}(V4,V6), P_join-{F}(V3,V7,V8), P_join-{F}(V6,V8,V9), P_join-{F}(V0,V7,V10), P_join-{F}(V5,V9,V11), V10 == V11 | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #455: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #442 ), references = 1, size of lhs = 11:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V2,V3), P_join-{F}(V3,V4,V3), P_complement-{F}(V5,V4), P_meet-{F}(V2,V6,V7), P_complement-{F}(V6,V8), P_meet-{F}(V5,V9,V10), P_meet-{F}(V9,V11,V7), P_meet-{F}(V10,V11,V12), V12 == V7 | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #469: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #460 ), references = 1, size of lhs = 13:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V2,V3), P_meet-{F}(V2,V4,V5), P_complement-{F}(V4,V6), P_complement-{F}(V7,V8), P_join-{F}(V8,V3,V9), P_join-{F}(V9,V6,V10), P_complement-{F}(V10,V11), P_meet-{F}(V7,V12,V13), P_meet-{F}(V12,V14,V5), P_meet-{F}(V13,V14,V15), V15 == V11 | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #480: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #474 ), references = 1, size of lhs = 16:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_b-{F}(V4), P_complement-{F}(V4,V5), P_join-{F}(V2,V5,V6), P_join-{F}(V2,V4,V7), P_meet-{F}(V6,V7,V8), P_meet-{F}(V3,V8,V9), P_meet-{F}(V3,V4,V10), P_meet-{F}(V3,V5,V11), P_join-{F}(V10,V11,V12), P_meet-{F}(V3,V12,V13), P_join-{F}(V2,V13,V14), P_join-{F}(V14,V9,V0) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #485: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #475 ), references = 1, size of lhs = 22:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_complement-{F}(V3,V4), P_b-{F}(V5), P_complement-{F}(V5,V6), P_join-{F}(V2,V6,V7), P_join-{F}(V2,V5,V8), P_meet-{F}(V3,V5,V9), P_meet-{F}(V3,V6,V10), P_join-{F}(V9,V10,V11), P_join-{F}(V4,V11,V12), P_complement-{F}(V12,V13), P_complement-{F}(V8,V14), P_complement-{F}(V7,V15), P_join-{F}(V14,V15,V11), P_join-{F}(V2,V11,V16), P_join-{F}(V16,V13,V0), P_complement-{F}(V17,V4), P_join-{F}(V18,V11,V17), P_complement-{F}(V19,V18) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #502: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #492 ), references = 1, size of lhs = 17:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_b-{F}(V4), P_complement-{F}(V4,V5), P_join-{F}(V2,V5,V6), P_join-{F}(V2,V4,V7), P_meet-{F}(V6,V7,V8), P_meet-{F}(V3,V4,V9), P_meet-{F}(V3,V5,V10), P_join-{F}(V9,V10,V11), P_meet-{F}(V3,V11,V12), P_join-{F}(V2,V12,V13), P_complement-{F}(V3,V14), P_complement-{F}(V8,V15), P_join-{F}(V14,V15,V13) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #511: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #493 ), references = 1, size of lhs = 23:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_complement-{F}(V3,V4), P_b-{F}(V5), P_complement-{F}(V5,V6), P_join-{F}(V2,V6,V7), P_join-{F}(V2,V5,V8), P_meet-{F}(V3,V5,V9), P_meet-{F}(V3,V6,V10), P_join-{F}(V9,V10,V11), P_join-{F}(V4,V11,V12), P_join-{F}(V2,V11,V12), P_complement-{F}(V8,V13), P_complement-{F}(V7,V14), P_join-{F}(V13,V14,V11), P_complement-{F}(V15,V4), P_join-{F}(V16,V11,V15), P_complement-{F}(V17,V16), P_complement-{F}(V18,V19), P_join-{F}(V19,V20,V12), P_complement-{F}(V21,V20) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #522: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #512 ), references = 1, size of lhs = 15:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_complement-{F}(V3,V2), P_b-{F}(V4), P_complement-{F}(V4,V5), P_join-{F}(V2,V5,V6), P_join-{F}(V2,V4,V7), P_meet-{F}(V6,V7,V8), P_meet-{F}(V3,V4,V9), P_meet-{F}(V3,V5,V10), P_join-{F}(V9,V10,V11), P_meet-{F}(V3,V11,V12), P_complement-{F}(V8,V12) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #531: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #513 ), references = 3, size of lhs = 20:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_complement-{F}(V3,V2), P_b-{F}(V4), P_complement-{F}(V4,V5), P_join-{F}(V2,V5,V6), P_join-{F}(V2,V4,V7), P_meet-{F}(V3,V4,V8), P_meet-{F}(V3,V5,V9), P_join-{F}(V8,V9,V10), P_complement-{F}(V7,V11), P_complement-{F}(V6,V12), P_join-{F}(V11,V12,V10), P_complement-{F}(V13,V2), P_complement-{F}(V14,V10), P_complement-{F}(V15,V2), P_join-{F}(V16,V10,V15), P_complement-{F}(V17,V16) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #563: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20; #545 ), references = 1, size of lhs = 18:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_complement-{F}(V3,V2), P_b-{F}(V4), P_complement-{F}(V4,V5), P_meet-{F}(V3,V5,V1), P_join-{F}(V2,V4,V6), P_complement-{F}(V6,V1), P_meet-{F}(V3,V4,V7), P_complement-{F}(V8,V2), P_complement-{F}(V9,V2), P_meet-{F}(V9,V10,V7), P_complement-{F}(V10,V5), P_complement-{F}(V11,V2), P_join-{F}(V12,V7,V11), P_complement-{F}(V13,V12) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #591: mergings( V0 == V32, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30; #546 ), references = 1, size of lhs = 15:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_join-{F}(V2,V2,V2), P_complement-{F}(V2,V3), P_complement-{F}(V3,V2), P_b-{F}(V4), P_complement-{F}(V4,V5), P_meet-{F}(V3,V5,V1), P_meet-{F}(V3,V4,V6), P_join-{F}(V2,V4,V7), P_complement-{F}(V7,V1), P_complement-{F}(V8,V2), P_meet-{F}(V8,V9,V6), P_complement-{F}(V9,V5) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #617: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24; #595 ), references = 1, size of lhs = 12:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_complement-{F}(V3,V2), P_b-{F}(V4), P_join-{F}(V2,V4,V5), P_complement-{F}(V5,V1), P_complement-{F}(V6,V2), P_complement-{F}(V4,V7), P_meet-{F}(V3,V7,V1), P_complement-{F}(V8,V3) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #647: mergings( V33 == V34, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32; #596 ), references = 1, size of lhs = 11:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_join-{F}(V2,V2,V2), P_complement-{F}(V2,V3), P_complement-{F}(V3,V2), P_b-{F}(V4), P_join-{F}(V2,V4,V5), P_complement-{F}(V5,V1), P_complement-{F}(V4,V6), P_meet-{F}(V3,V6,V1) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #674: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #669 ), references = 1, size of lhs = 21:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_complement-{F}(V3,V2), P_b-{F}(V4), P_complement-{F}(V4,V5), P_join-{F}(V2,V5,V6), P_join-{F}(V2,V4,V7), P_meet-{F}(V3,V4,V8), P_complement-{F}(V6,V8), P_meet-{F}(V3,V5,V9), P_complement-{F}(V7,V9), P_complement-{F}(V0,V10), P_join-{F}(V10,V9,V9), P_join-{F}(V2,V8,V11), P_join-{F}(V9,V11,V0), P_complement-{F}(V12,V2), P_join-{F}(V13,V8,V12), P_join-{F}(V14,V9,V13), P_complement-{F}(V15,V14) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #697: mergings( V19 == V26, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18; #681 ), references = 1, size of lhs = 18:
% 134.10/134.27 P_n1-{F}(V0), P_complement-{F}(V0,V1), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_complement-{F}(V3,V2), P_b-{F}(V4), P_complement-{F}(V4,V5), P_join-{F}(V2,V5,V6), P_join-{F}(V2,V4,V7), P_meet-{F}(V3,V4,V8), P_complement-{F}(V6,V8), P_join-{F}(V2,V8,V7), P_join-{F}(V3,V8,V9), P_complement-{F}(V9,V2), P_complement-{F}(V10,V3), P_complement-{F}(V5,V11), P_join-{F}(V2,V11,V7) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #721: mergings( V15 == V21, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #709 ), references = 1, size of lhs = 15:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_complement-{F}(V3,V2), P_b-{F}(V4), P_meet-{F}(V3,V4,V1), P_complement-{F}(V4,V5), P_join-{F}(V2,V5,V6), P_complement-{F}(V6,V1), P_join-{F}(V2,V4,V7), P_complement-{F}(V8,V2), P_complement-{F}(V9,V3), P_complement-{F}(V5,V10), P_join-{F}(V2,V10,V7) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #742: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #733 ), references = 1, size of lhs = 21:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_complement-{F}(V3,V2), P_b-{F}(V4), P_complement-{F}(V4,V5), P_join-{F}(V2,V5,V6), P_join-{F}(V2,V4,V7), P_meet-{F}(V3,V4,V8), P_complement-{F}(V6,V8), P_meet-{F}(V3,V5,V9), P_complement-{F}(V7,V9), P_complement-{F}(V10,V2), P_complement-{F}(V11,V8), P_complement-{F}(V12,V9), P_meet-{F}(V11,V12,V13), P_complement-{F}(V14,V2), P_join-{F}(V15,V9,V14), P_join-{F}(V16,V8,V15), P_complement-{F}(V17,V16) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #755: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #744 ), references = 1, size of lhs = 20:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_complement-{F}(V3,V2), P_b-{F}(V4), P_complement-{F}(V4,V5), P_join-{F}(V2,V5,V6), P_join-{F}(V2,V4,V7), P_meet-{F}(V3,V4,V8), P_complement-{F}(V6,V8), P_meet-{F}(V3,V5,V9), P_complement-{F}(V7,V9), P_complement-{F}(V10,V2), P_complement-{F}(V11,V8), P_complement-{F}(V12,V9), P_complement-{F}(V13,V2), P_join-{F}(V14,V9,V13), P_join-{F}(V15,V8,V14), P_complement-{F}(V16,V15) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #774: mergings( V19 == V28, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18; #758 ), references = 1, size of lhs = 17:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_complement-{F}(V3,V2), P_b-{F}(V4), P_complement-{F}(V4,V5), P_join-{F}(V2,V5,V6), P_join-{F}(V2,V4,V7), P_meet-{F}(V3,V4,V8), P_complement-{F}(V6,V8), P_complement-{F}(V9,V2), P_complement-{F}(V10,V8), P_complement-{F}(V5,V11), P_join-{F}(V2,V11,V7), P_join-{F}(V12,V8,V3), P_complement-{F}(V13,V12) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #794: mergings( V0 == V26, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20; #776 ), references = 1, size of lhs = 17:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_complement-{F}(V3,V2), P_b-{F}(V4), P_complement-{F}(V4,V5), P_join-{F}(V2,V4,V6), P_meet-{F}(V3,V4,V7), P_complement-{F}(V8,V2), P_complement-{F}(V5,V9), P_join-{F}(V2,V9,V6), P_complement-{F}(V10,V2), P_meet-{F}(V10,V11,V7), P_complement-{F}(V11,V5), P_join-{F}(V12,V7,V3), P_complement-{F}(V13,V12) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #819: mergings( V25 == V28, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24; #797 ), references = 1, size of lhs = 12:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_complement-{F}(V3,V2), P_b-{F}(V4), P_join-{F}(V2,V4,V5), P_complement-{F}(V6,V2), P_complement-{F}(V4,V7), P_complement-{F}(V7,V8), P_join-{F}(V2,V8,V5), P_complement-{F}(V9,V3) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #841: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24; #820 ), references = 1, size of lhs = 10:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_complement-{F}(V3,V2), P_b-{F}(V4), P_complement-{F}(V5,V2), P_complement-{F}(V4,V6), P_complement-{F}(V6,V4), P_complement-{F}(V7,V3) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #866: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25; #843 ), references = 1, size of lhs = 8:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_complement-{F}(V3,V2), P_b-{F}(V4), P_complement-{F}(V5,V2), P_complement-{F}(V6,V3) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #893: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27; #868 ), references = 1, size of lhs = 4:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #919: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26; #894 ), references = 1, size of lhs = 3:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #945: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26; #920 ), references = 1, size of lhs = 2:
% 134.10/134.27 P_n1-{F}(V0), P_n0-{F}(V1) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #959: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13; #946 ), references = 1, size of lhs = 1:
% 134.10/134.27 P_n1-{F}(V0) | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 #961: exists( #13, #946 ), references = 1, size of lhs = 0:
% 134.10/134.27 FALSE | FALSE
% 134.10/134.27 (used 0 times, uses = {})
% 134.10/134.27
% 134.10/134.27 number of learnt formulas = 52
% 134.10/134.27
% 134.10/134.27
% 134.10/134.27 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 134.10/134.27
% 134.10/134.27 randbase = 1
%------------------------------------------------------------------------------