%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n021.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 06:07:45 EDT 2022
% Result : Unsatisfiable 43.56s 43.79s
% Output : Refutation 43.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n021.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 20:35:34 EDT 2022
% 0.12/0.34 % CPUTime :
% 43.56/43.79 GeoParameters:
% 43.56/43.79
% 43.56/43.79 tptp_input = 1
% 43.56/43.79 tptp_output = 0
% 43.56/43.79 nonempty = 1
% 43.56/43.79 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.56/43.79 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 43.56/43.79
% 43.56/43.79
% 43.56/43.79 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.56/43.79 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.56/43.79
% 43.56/43.79 RuleSystem INPUT:
% 43.56/43.79
% 43.56/43.79 Initial Rules:
% 43.56/43.79 #0: input, references = 4, size of lhs = 2:
% 43.56/43.79 P_meet-{F}(V0,V0,V1), V1 == V0 | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #1: input, references = 4, size of lhs = 2:
% 43.56/43.79 P_join-{F}(V0,V0,V1), V1 == V0 | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #2: input, references = 6, size of lhs = 3:
% 43.56/43.79 P_join-{F}(V0,V1,V2), P_meet-{F}(V0,V2,V3), V3 == V0 | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #3: input, references = 4, size of lhs = 3:
% 43.56/43.79 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V2,V3), V3 == V0 | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #4: input, references = 4, size of lhs = 3:
% 43.56/43.79 P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V0,V3), V2 == V3 | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #5: input, references = 4, size of lhs = 3:
% 43.56/43.79 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #6: input, references = 7, size of lhs = 5:
% 43.56/43.79 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
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #7: input, references = 7, size of lhs = 5:
% 43.56/43.79 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
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #8: input, references = 4, size of lhs = 3:
% 43.56/43.79 P_n0-{F}(V0), P_meet-{F}(V1,V0,V2), V2 == V0 | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #9: input, references = 3, size of lhs = 3:
% 43.56/43.79 P_n0-{F}(V0), P_join-{F}(V1,V0,V2), V2 == V1 | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #10: input, references = 4, size of lhs = 4:
% 43.56/43.79 P_n0-{F}(V0), P_n1-{F}(V1), P_meet-{F}(V2,V1,V3), V3 == V2 | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #11: input, references = 3, size of lhs = 4:
% 43.56/43.79 P_n0-{F}(V0), P_n1-{F}(V1), P_join-{F}(V2,V1,V3), V3 == V1 | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #12: input, references = 7, size of lhs = 8:
% 43.56/43.79 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
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #13: input, references = 6, size of lhs = 5:
% 43.56/43.79 P_n0-{F}(V0), P_n1-{F}(V1), P_meet-{F}(V2,V3,V4), complement-{F}(V2,V3), V4 == V0 | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #14: input, references = 6, size of lhs = 5:
% 43.56/43.79 P_n0-{F}(V0), P_n1-{F}(V1), P_join-{F}(V2,V3,V4), complement-{F}(V2,V3), V4 == V1 | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #15: input, references = 9, size of lhs = 4:
% 43.56/43.79 P_n0-{F}(V0), P_n1-{F}(V1), P_meet-{F}(V2,V3,V0), P_join-{F}(V2,V3,V1) | complement-{T}(V2,V3)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #16: input, references = 18, size of lhs = 6:
% 43.56/43.79 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_join-{F}(V3,V4,V5) | complement-{T}(V2,V5)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #17: input, references = 10, size of lhs = 8:
% 43.56/43.79 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_join-{F}(V3,V4,V5), P_r2-{F}(V6), P_meet-{F}(V3,V4,V7) | complement-{T}(V6,V7)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #18: input, references = 4, size of lhs = 9:
% 43.56/43.79 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_join-{F}(V3,V4,V5), P_r2-{F}(V6), P_meet-{F}(V3,V4,V7), complement-{F}(V3,V8) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #19: input, references = 18, size of lhs = 2:
% 43.56/43.79 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #20: input, references = 29, size of lhs = 2:
% 43.56/43.79 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #21: input, references = 4, size of lhs = 0:
% 43.56/43.79 FALSE | EXISTS V0: P_n0-{T}(V0)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #22: input, references = 4, size of lhs = 0:
% 43.56/43.79 FALSE | EXISTS V0: P_n1-{T}(V0)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #23: input, references = 4, size of lhs = 0:
% 43.56/43.79 FALSE | EXISTS V0: P_r1-{T}(V0)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #24: input, references = 5, size of lhs = 0:
% 43.56/43.79 FALSE | EXISTS V0: P_a-{T}(V0)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #25: input, references = 7, size of lhs = 0:
% 43.56/43.79 FALSE | EXISTS V0: P_b-{T}(V0)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #26: input, references = 6, size of lhs = 0:
% 43.56/43.79 FALSE | EXISTS V0: P_r2-{T}(V0)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 number of initial rules = 27
% 43.56/43.79
% 43.56/43.79 Simplifiers:
% 43.56/43.79 #27: unsound, references = 3, size of lhs = 3:
% 43.56/43.79 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #28: unsound, references = 3, size of lhs = 3:
% 43.56/43.79 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #29: unsound, references = 3, size of lhs = 3:
% 43.56/43.79 P_n0-{F}(V0), P_n0-{F}(V1), V0 == V1 | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #30: unsound, references = 3, size of lhs = 3:
% 43.56/43.79 P_n1-{F}(V0), P_n1-{F}(V1), V0 == V1 | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #31: unsound, references = 3, size of lhs = 3:
% 43.56/43.79 P_r1-{F}(V0), P_r1-{F}(V1), V0 == V1 | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #32: unsound, references = 3, size of lhs = 3:
% 43.56/43.79 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #33: unsound, references = 3, size of lhs = 3:
% 43.56/43.79 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #34: unsound, references = 3, size of lhs = 3:
% 43.56/43.79 P_r2-{F}(V0), P_r2-{F}(V1), V0 == V1 | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 number of simplifiers = 8
% 43.56/43.79
% 43.56/43.79 Learnt:
% 43.56/43.79 #36: exists( #19, #8 ), references = 4, size of lhs = 2:
% 43.56/43.79 P_n0-{F}(V0), #-{F} V1 | P_meet-{T}(V1,V0,V0)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #38: exists( #19, #0 ), references = 1, size of lhs = 1:
% 43.56/43.79 #-{F} V0 | P_meet-{T}(V0,V0,V0)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #40: exists( #19, #4 ), references = 19, size of lhs = 1:
% 43.56/43.79 P_meet-{F}(V0,V1,V2) | P_meet-{T}(V1,V0,V2)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #43: exists( #20, #1 ), references = 2, size of lhs = 1:
% 43.56/43.79 #-{F} V0 | P_join-{T}(V0,V0,V0)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #44: exists( #20, #3 ), references = 11, size of lhs = 1:
% 43.56/43.79 P_meet-{F}(V0,V1,V2) | P_join-{T}(V0,V2,V0)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #46: exists( #26, #18 ), references = 2, size of lhs = 8:
% 43.56/43.79 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_join-{F}(V3,V4,V5), P_meet-{F}(V3,V4,V6), complement-{F}(V3,V7) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #48: exists( #20, #5 ), references = 43, size of lhs = 1:
% 43.56/43.79 P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #50: exists( #20, #46 ), references = 3, size of lhs = 7:
% 43.56/43.79 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), complement-{F}(V3,V6) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #52: exists( #19, #49 ), references = 3, size of lhs = 6:
% 43.56/43.79 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), complement-{F}(V3,V5) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #54: exists( #25, #51 ), references = 4, size of lhs = 5:
% 43.56/43.79 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), complement-{F}(V3,V4) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #65: mergings( V1 == V2, V2 == V8, V3 == V9; #61 ), references = 1, size of lhs = 7:
% 43.56/43.79 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_meet-{F}(V1,V2,V3), P_n0-{F}(V3), P_join-{F}(V1,V2,V4), P_n1-{F}(V5) | P_r2-{T}(V5)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #67: exists( #19, #13 ), references = 15, size of lhs = 3:
% 43.56/43.79 P_n0-{F}(V0), P_n1-{F}(V1), complement-{F}(V2,V3) | P_meet-{T}(V2,V3,V0)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #73: exists( #19, #71 ), references = 7, size of lhs = 3:
% 43.56/43.79 P_n0-{F}(V0), P_n1-{F}(V1), #-{F} V2 | P_meet-{T}(V1,V2,V2)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #93: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #88 ), references = 1, size of lhs = 5:
% 43.56/43.79 P_r1-{F}(V0), P_n1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_n0-{F}(V3) | P_join-{T}(V1,V2,V3)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #102: mergings( V1 == V3, V3 == V6, V2 == V4, V4 == V7; #96 ), references = 1, size of lhs = 6:
% 43.56/43.79 P_r1-{F}(V0), P_n1-{F}(V0), P_a-{F}(V1), P_n0-{F}(V2), P_meet-{F}(V1,V2,V3), V3 == V1 | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #107: mergings( V1 == V3, V3 == V6, V2 == V4, V4 == V7; #97 ), references = 1, size of lhs = 7:
% 43.56/43.79 P_r1-{F}(V0), P_n1-{F}(V0), P_a-{F}(V1), P_n0-{F}(V2), P_join-{F}(V3,V1,V1), P_join-{F}(V3,V2,V4), V2 == V4 | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #118: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #112 ), references = 1, size of lhs = 3:
% 43.56/43.79 P_r1-{F}(V0), P_n1-{F}(V0), P_n0-{F}(V1) | P_a-{T}(V1)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #132: mergings( V3 == V6, V4 == V7, V5 == V8, V8 == V0; #126 ), references = 1, size of lhs = 5:
% 43.56/43.79 P_a-{F}(V0), P_r1-{F}(V0), P_b-{F}(V1), P_n0-{F}(V2), P_n1-{F}(V3) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #139: mergings( V1 == V5, V2 == V6, V3 == V7, V7 == V4; #133 ), references = 1, size of lhs = 4:
% 43.56/43.79 P_a-{F}(V0), P_r1-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #141: exists( #20, #14 ), references = 7, size of lhs = 3:
% 43.56/43.79 P_n0-{F}(V0), P_n1-{F}(V1), complement-{F}(V2,V3) | P_join-{T}(V2,V3,V1)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #192: mergings( V3 == V5, V4 == V6; #188 ), references = 1, size of lhs = 6:
% 43.56/43.79 P_r1-{F}(V0), P_b-{F}(V0), P_a-{F}(V1), P_n0-{F}(V2), V2 == V0, P_n1-{F}(V3) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #197: exists( #19, #2 ), references = 20, size of lhs = 1:
% 43.56/43.79 P_join-{F}(V0,V1,V2) | P_meet-{T}(V0,V2,V0)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #198: exists( #19, #12 ), references = 8, size of lhs = 6:
% 43.56/43.79 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)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #237: mergings( V5 == V9, V3 == V6, V4 == V7; #231 ), references = 1, size of lhs = 7:
% 43.56/43.79 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_n0-{F}(V3), V3 == V0, P_n1-{F}(V4), P_meet-{F}(V5,V2,V0) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #258: mergings( V3 == V5, V5 == V8, V8 == V10, V4 == V6, V6 == V9, V9 == V11; #251 ), references = 1, size of lhs = 7:
% 43.56/43.79 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_join-{F}(V2,V0,V3), P_n1-{F}(V3), P_n0-{F}(V4), P_join-{F}(V2,V4,V5) | P_join-{T}(V1,V2,V5)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #277: mergings( V3 == V6, V4 == V7; #273 ), references = 2, size of lhs = 8:
% 43.56/43.79 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), P_join-{F}(V0,V1,V5), P_join-{F}(V5,V2,V6), V6 == V4 | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #284: mergings( V3 == V6, V6 == V8, V8 == V10, V4 == V7, V7 == V9, V9 == V11; #274 ), references = 1, size of lhs = 10:
% 43.56/43.79 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), P_meet-{F}(V0,V5,V0), P_meet-{F}(V1,V5,V1), P_meet-{F}(V2,V5,V2), P_meet-{F}(V5,V4,V6), V6 == V4 | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #307: mergings( V3 == V8, V4 == V9; #304 ), references = 1, size of lhs = 9:
% 43.56/43.79 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V3), P_meet-{F}(V1,V2,V4), P_n0-{F}(V5), P_n1-{F}(V6), P_join-{F}(V3,V4,V7), V7 == V6 | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #317: mergings( V3 == V8, V4 == V9; #314 ), references = 2, size of lhs = 11:
% 43.56/43.79 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V3), P_meet-{F}(V1,V2,V4), P_n0-{F}(V5), P_n1-{F}(V6), P_join-{F}(V6,V7,V8), P_join-{F}(V4,V7,V9), P_join-{F}(V3,V9,V10), V8 == V10 | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #323: mergings( V3 == V7, V4 == V8; #320 ), references = 1, size of lhs = 9:
% 43.56/43.79 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V3), P_n0-{F}(V4), P_n1-{F}(V5), P_join-{F}(V5,V1,V6), P_join-{F}(V3,V1,V7), V6 == V7 | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #327: mergings( V3 == V7, V4 == V8; #324 ), references = 1, size of lhs = 7:
% 43.56/43.79 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V3), P_n0-{F}(V4), P_n1-{F}(V5), P_join-{F}(V5,V1,V6) | P_join-{T}(V3,V1,V6)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #340: exists( #19, #338 ), references = 2, size of lhs = 9:
% 43.56/43.79 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V3), P_n0-{F}(V4), P_n1-{F}(V5), P_join-{F}(V5,V2,V6), P_join-{F}(V3,V2,V7), V6 == V7 | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #343: exists( #20, #340 ), references = 1, size of lhs = 7:
% 43.56/43.79 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V3), P_n0-{F}(V4), P_n1-{F}(V5), P_join-{F}(V5,V2,V6) | P_join-{T}(V3,V2,V6)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #357: exists( #20, #277 ), references = 7, size of lhs = 6:
% 43.56/43.79 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), P_join-{F}(V0,V1,V5) | P_join-{T}(V5,V2,V4)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #400: mergings( V3 == V6, V4 == V7; #396 ), references = 1, size of lhs = 8:
% 43.56/43.79 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), P_meet-{F}(V3,V1,V5), P_meet-{F}(V0,V1,V6), V5 == V6 | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #404: mergings( V3 == V6, V4 == V7; #401 ), references = 1, size of lhs = 6:
% 43.56/43.79 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), P_meet-{F}(V3,V1,V5) | P_meet-{T}(V0,V1,V5)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #440: mergings( V3 == V6, V4 == V7; #437 ), references = 1, size of lhs = 8:
% 43.56/43.79 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), P_meet-{F}(V3,V2,V5), P_meet-{F}(V0,V2,V6), V5 == V6 | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #444: mergings( V3 == V6, V4 == V7; #441 ), references = 1, size of lhs = 6:
% 43.56/43.79 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_n0-{F}(V3), P_n1-{F}(V4), P_meet-{F}(V3,V2,V5) | P_meet-{T}(V0,V2,V5)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #462: exists( #19, #6 ), references = 10, size of lhs = 3:
% 43.56/43.79 P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V3,V4), P_meet-{F}(V0,V4,V5) | P_meet-{T}(V2,V3,V5)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #464: exists( #20, #7 ), references = 19, size of lhs = 3:
% 43.56/43.79 P_join-{F}(V0,V1,V2), P_join-{F}(V2,V3,V4), P_join-{F}(V1,V3,V5) | P_join-{T}(V0,V5,V4)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #508: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V5 == V14, V0 == V15; #495 ), references = 2, size of lhs = 10:
% 43.56/43.79 P_b-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), P_r1-{F}(V3), P_a-{F}(V4), P_join-{F}(V4,V4,V4), P_join-{F}(V0,V3,V5), P_join-{F}(V4,V5,V2), P_join-{F}(V0,V1,V6), P_meet-{F}(V4,V6,V1) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #520: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V5 == V14, V0 == V15, V1 == V16; #496 ), references = 2, size of lhs = 10:
% 43.56/43.79 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_join-{F}(V3,V3,V3), P_b-{F}(V4), P_join-{F}(V4,V2,V5), P_join-{F}(V3,V5,V1), P_join-{F}(V4,V0,V6), P_meet-{F}(V3,V6,V0) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #532: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V5 == V14, V0 == V15, V1 == V16; #497 ), references = 2, size of lhs = 11:
% 43.56/43.79 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_join-{F}(V3,V3,V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V4,V2,V6), P_join-{F}(V3,V6,V1), P_join-{F}(V4,V0,V7), P_meet-{F}(V3,V7,V0) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #538: mergings( V3 == V8, V4 == V9; #535 ), references = 1, size of lhs = 9:
% 43.56/43.79 P_r1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_r2-{F}(V3), P_meet-{F}(V1,V2,V4), P_n0-{F}(V5), P_n1-{F}(V6), P_meet-{F}(V3,V4,V7), V7 == V5 | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #545: mergings( V3 == V5, V5 == V8, V4 == V6, V6 == V9; #540 ), references = 1, size of lhs = 6:
% 43.56/43.79 P_r2-{F}(V0), P_n1-{F}(V0), P_r1-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_n0-{F}(V4) | P_meet-{T}(V2,V3,V4)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #566: exists( #20, #560 ), references = 1, size of lhs = 10:
% 43.56/43.79 P_b-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), P_r1-{F}(V3), P_a-{F}(V4), P_join-{F}(V4,V4,V4), P_join-{F}(V0,V1,V5), P_meet-{F}(V4,V5,V1), P_join-{F}(V4,V3,V6), P_join-{F}(V6,V0,V2) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #567: exists( #20, #561 ), references = 1, size of lhs = 10:
% 43.56/43.79 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_join-{F}(V3,V3,V3), P_b-{F}(V4), P_join-{F}(V4,V0,V5), P_meet-{F}(V3,V5,V0), P_join-{F}(V3,V2,V6), P_join-{F}(V6,V4,V1) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #568: exists( #20, #562 ), references = 1, size of lhs = 11:
% 43.56/43.79 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_join-{F}(V3,V3,V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V4,V0,V6), P_meet-{F}(V3,V6,V0), P_join-{F}(V3,V2,V7), P_join-{F}(V7,V4,V1) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #579: mergings( V3 == V5; #575 ), references = 1, size of lhs = 8:
% 43.56/43.79 P_b-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), P_r1-{F}(V3), P_a-{F}(V4), P_join-{F}(V4,V4,V4), P_join-{F}(V0,V1,V5), P_meet-{F}(V4,V5,V1) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #581: mergings( V3 == V4; #576 ), references = 1, size of lhs = 8:
% 43.56/43.79 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_join-{F}(V3,V3,V3), P_b-{F}(V4), P_join-{F}(V4,V0,V5), P_meet-{F}(V3,V5,V0) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #583: mergings( V3 == V4; #577 ), references = 1, size of lhs = 9:
% 43.56/43.79 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_join-{F}(V3,V3,V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_join-{F}(V4,V0,V6), P_meet-{F}(V3,V6,V0) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #615: exists( #20, #12 ), references = 4, size of lhs = 6:
% 43.56/43.79 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)
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #652: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #645 ), references = 1, size of lhs = 11:
% 43.56/43.79 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_meet-{F}(V4,V3,V5), P_meet-{F}(V6,V5,V0), P_meet-{F}(V7,V4,V7), P_join-{F}(V7,V6,V8), P_meet-{F}(V4,V8,V9), P_join-{F}(V9,V10,V1), P_join-{F}(V7,V10,V3) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #657: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #646 ), references = 1, size of lhs = 12:
% 43.56/43.79 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V5,V3,V6), P_meet-{F}(V7,V6,V0), P_meet-{F}(V8,V5,V8), P_join-{F}(V8,V7,V9), P_meet-{F}(V5,V9,V10), P_join-{F}(V10,V11,V1), P_join-{F}(V8,V11,V3) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #662: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #647 ), references = 1, size of lhs = 13:
% 43.56/43.79 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_meet-{F}(V3,V4,V5), P_meet-{F}(V6,V3,V7), P_meet-{F}(V8,V7,V0), P_meet-{F}(V9,V6,V9), P_join-{F}(V9,V8,V10), P_meet-{F}(V6,V10,V11), P_join-{F}(V11,V12,V1), P_join-{F}(V9,V12,V3) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #723: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V16, V16 == V18, V18 == V20, V20 == V22, V4 == V7, V7 == V9, V9 == V11, V11 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V5 == V12, V12 == V24, V0 == V25; #702 ), references = 1, size of lhs = 15:
% 43.56/43.79 P_b-{F}(V0), P_r2-{F}(V1), P_n0-{F}(V2), P_n1-{F}(V3), P_r1-{F}(V4), P_a-{F}(V5), P_join-{F}(V5,V5,V5), P_meet-{F}(V5,V0,V6), P_join-{F}(V6,V7,V5), P_join-{F}(V0,V4,V8), P_meet-{F}(V6,V8,V6), P_meet-{F}(V8,V3,V9), P_join-{F}(V9,V7,V3), P_join-{F}(V0,V2,V10), P_meet-{F}(V5,V10,V6) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #743: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V16, V16 == V18, V18 == V20, V20 == V22, V4 == V7, V7 == V9, V9 == V11, V11 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V5 == V12, V12 == V24, V0 == V25, V1 == V26; #703 ), references = 1, size of lhs = 15:
% 43.56/43.79 P_r2-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), P_r1-{F}(V3), P_a-{F}(V4), P_join-{F}(V4,V4,V4), P_b-{F}(V5), P_meet-{F}(V4,V5,V6), P_join-{F}(V6,V7,V4), P_join-{F}(V5,V3,V8), P_meet-{F}(V6,V8,V6), P_meet-{F}(V8,V2,V9), P_join-{F}(V9,V7,V2), P_join-{F}(V5,V1,V10), P_meet-{F}(V4,V10,V6) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #764: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V16, V16 == V18, V18 == V20, V20 == V22, V4 == V7, V7 == V9, V9 == V11, V11 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V5 == V12, V12 == V24, V0 == V25, V1 == V26, V14 == V27; #704 ), references = 1, size of lhs = 15:
% 43.56/43.79 P_r2-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), P_r1-{F}(V3), P_a-{F}(V4), P_join-{F}(V4,V4,V4), P_b-{F}(V5), P_meet-{F}(V4,V5,V6), P_join-{F}(V6,V7,V4), P_join-{F}(V5,V3,V8), P_meet-{F}(V6,V8,V6), P_meet-{F}(V8,V2,V9), P_join-{F}(V9,V7,V2), P_join-{F}(V5,V1,V10), P_meet-{F}(V4,V10,V6) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #807: mergings( V24 == V27, V3 == V6, V6 == V8, V8 == V10, V10 == V15, V15 == V17, V17 == V19, V19 == V21, V4 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V5 == V12, V12 == V23; #786 ), references = 1, size of lhs = 12:
% 43.56/43.79 P_b-{F}(V0), P_r2-{F}(V1), P_n0-{F}(V2), P_join-{F}(V0,V2,V0), P_n1-{F}(V3), P_r1-{F}(V4), P_a-{F}(V5), P_join-{F}(V5,V5,V5), P_join-{F}(V0,V4,V6), P_meet-{F}(V6,V3,V7), P_join-{F}(V7,V5,V3), P_join-{F}(V0,V8,V6) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #826: mergings( V24 == V27, V3 == V6, V6 == V8, V8 == V10, V10 == V15, V15 == V17, V17 == V19, V19 == V21, V4 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V5 == V12, V12 == V23; #788 ), references = 1, size of lhs = 12:
% 43.56/43.79 P_r2-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), P_r1-{F}(V3), P_a-{F}(V4), P_join-{F}(V4,V4,V4), P_b-{F}(V5), P_join-{F}(V5,V1,V5), P_join-{F}(V5,V3,V6), P_meet-{F}(V6,V2,V7), P_join-{F}(V7,V4,V2), P_join-{F}(V5,V8,V6) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #846: mergings( V25 == V28, V3 == V6, V6 == V8, V8 == V10, V10 == V15, V15 == V17, V17 == V19, V19 == V21, V4 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V5 == V12, V12 == V23, V1 == V24; #787 ), references = 1, size of lhs = 12:
% 43.56/43.79 P_r2-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), P_r1-{F}(V3), P_a-{F}(V4), P_join-{F}(V4,V4,V4), P_b-{F}(V5), P_join-{F}(V5,V1,V5), P_join-{F}(V5,V3,V6), P_meet-{F}(V6,V2,V7), P_join-{F}(V7,V4,V2), P_join-{F}(V5,V8,V6) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #883: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V15, V15 == V17, V17 == V19, V19 == V21, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V0 == V12, V12 == V23; #862 ), references = 1, size of lhs = 10:
% 43.56/43.79 P_b-{F}(V0), P_r2-{F}(V1), P_n0-{F}(V2), P_join-{F}(V0,V2,V0), P_n1-{F}(V3), P_r1-{F}(V4), P_a-{F}(V5), P_join-{F}(V5,V5,V5), P_join-{F}(V5,V4,V6), P_join-{F}(V6,V0,V3) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #902: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V15, V15 == V17, V17 == V19, V19 == V21, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V0 == V12, V12 == V23; #863 ), references = 1, size of lhs = 10:
% 43.56/43.79 P_r2-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), P_r1-{F}(V3), P_a-{F}(V4), P_join-{F}(V4,V4,V4), P_b-{F}(V5), P_join-{F}(V5,V1,V5), P_join-{F}(V4,V3,V6), P_join-{F}(V6,V5,V2) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #922: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V15, V15 == V17, V17 == V19, V19 == V21, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V0 == V12, V12 == V23, V1 == V25; #864 ), references = 1, size of lhs = 10:
% 43.56/43.79 P_r2-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), P_r1-{F}(V3), P_a-{F}(V4), P_join-{F}(V4,V4,V4), P_b-{F}(V5), P_join-{F}(V5,V1,V5), P_join-{F}(V4,V3,V6), P_join-{F}(V6,V5,V2) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #951: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V17, V17 == V19, V19 == V21, V21 == V23, V6 == V8, V8 == V10, V10 == V12, V12 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V0 == V13, V13 == V25; #929 ), references = 1, size of lhs = 8:
% 43.56/43.79 P_b-{F}(V0), P_r2-{F}(V1), P_n0-{F}(V2), P_join-{F}(V0,V2,V0), P_n1-{F}(V3), P_r1-{F}(V4), P_a-{F}(V5), P_join-{F}(V5,V5,V5) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #971: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V16, V16 == V18, V18 == V20, V20 == V22, V6 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V0 == V13, V13 == V24; #930 ), references = 1, size of lhs = 8:
% 43.56/43.79 P_r2-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), P_r1-{F}(V3), P_a-{F}(V4), P_join-{F}(V4,V4,V4), P_b-{F}(V5), P_join-{F}(V5,V1,V5) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #992: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V17, V17 == V19, V19 == V21, V21 == V23, V6 == V8, V8 == V10, V10 == V12, V12 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V0 == V13, V13 == V25, V14 == V26; #931 ), references = 1, size of lhs = 8:
% 43.56/43.79 P_r2-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), P_r1-{F}(V3), P_a-{F}(V4), P_join-{F}(V4,V4,V4), P_b-{F}(V5), P_join-{F}(V5,V1,V5) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #1015: mergings( V1 == V2, V2 == V3, V3 == V6, V6 == V8, V8 == V10, V10 == V15, V15 == V17, V17 == V19, V19 == V21, V4 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V5 == V12, V12 == V23; #993 ), references = 1, size of lhs = 7:
% 43.56/43.79 P_b-{F}(V0), P_n0-{F}(V1), P_join-{F}(V0,V1,V0), P_n1-{F}(V2), P_r1-{F}(V3), P_a-{F}(V4), P_join-{F}(V4,V4,V4) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #1044: mergings( V1 == V2, V2 == V3, V3 == V6, V6 == V8, V8 == V10, V10 == V14, V14 == V16, V16 == V18, V18 == V20, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V5 == V12, V12 == V22; #1022 ), references = 1, size of lhs = 5:
% 43.56/43.79 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2), P_a-{F}(V3), P_join-{F}(V3,V3,V3) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #1070: mergings( V1 == V2, V2 == V3, V3 == V6, V6 == V8, V8 == V10, V10 == V14, V14 == V16, V16 == V18, V18 == V20, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V5 == V12, V12 == V22; #1048 ), references = 1, size of lhs = 3:
% 43.56/43.79 P_n0-{F}(V0), P_n1-{F}(V1), P_r1-{F}(V2) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #1091: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V4 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19; #1071 ), references = 1, size of lhs = 2:
% 43.56/43.79 P_n0-{F}(V0), P_n1-{F}(V1) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #1104: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #1092 ), references = 1, size of lhs = 1:
% 43.56/43.79 P_n0-{F}(V0) | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 #1108: exists( #21, #1092 ), references = 1, size of lhs = 0:
% 43.56/43.79 FALSE | FALSE
% 43.56/43.79 (used 0 times, uses = {})
% 43.56/43.79
% 43.56/43.79 number of learnt formulas = 73
% 43.56/43.79
% 43.56/43.79
% 43.56/43.79 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.56/43.79
% 43.56/43.79 randbase = 1
%------------------------------------------------------------------------------