TSTP Solution File: LAT230-10 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT230-10 : TPTP v8.1.0. Released v7.3.0.
% 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 06:08:04 EDT 2022
% Result : Unsatisfiable 227.53s 227.70s
% Output : Refutation 227.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT230-10 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 20:26:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 227.53/227.70 GeoParameters:
% 227.53/227.70
% 227.53/227.70 tptp_input = 1
% 227.53/227.70 tptp_output = 0
% 227.53/227.70 nonempty = 1
% 227.53/227.70 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 227.53/227.70 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 227.53/227.70
% 227.53/227.70
% 227.53/227.70 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 227.53/227.70 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 227.53/227.70
% 227.53/227.70 RuleSystem INPUT:
% 227.53/227.70
% 227.53/227.70 Initial Rules:
% 227.53/227.70 #0: input, references = 6, size of lhs = 2:
% 227.53/227.70 P_ifeq-{F}(V0,V0,V1,V2,V3), V3 == V1 | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #1: input, references = 4, size of lhs = 2:
% 227.53/227.70 P_meet-{F}(V0,V0,V1), V1 == V0 | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #2: input, references = 4, size of lhs = 2:
% 227.53/227.70 P_join-{F}(V0,V0,V1), V1 == V0 | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #3: input, references = 6, size of lhs = 3:
% 227.53/227.70 P_join-{F}(V0,V1,V2), P_meet-{F}(V0,V2,V3), V3 == V0 | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #4: input, references = 5, size of lhs = 3:
% 227.53/227.70 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V2,V3), V3 == V0 | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #5: input, references = 4, size of lhs = 3:
% 227.53/227.70 P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V0,V3), V2 == V3 | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #6: input, references = 4, size of lhs = 3:
% 227.53/227.70 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #7: input, references = 6, size of lhs = 5:
% 227.53/227.70 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
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #8: input, references = 6, size of lhs = 5:
% 227.53/227.70 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
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #9: input, references = 4, size of lhs = 4:
% 227.53/227.70 P_one-{F}(V0), P_complement-{F}(V1,V2), P_join-{F}(V1,V2,V3), V3 == V0 | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #10: input, references = 4, size of lhs = 5:
% 227.53/227.70 P_one-{F}(V0), P_zero-{F}(V1), P_complement-{F}(V2,V3), P_meet-{F}(V2,V3,V4), V4 == V1 | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #11: input, references = 4, size of lhs = 8:
% 227.53/227.70 P_one-{F}(V0), P_zero-{F}(V1), P_join-{F}(V2,V3,V4), P_meet-{F}(V2,V3,V5), P_complement-{F}(V2,V6), P_ifeq-{F}(V5,V1,V6,V3,V7), P_ifeq-{F}(V4,V0,V7,V3,V8), V8 == V3 | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #12: input, references = 6, size of lhs = 11:
% 227.53/227.70 P_one-{F}(V0), P_zero-{F}(V1), P_meet-{F}(V2,V3,V5), P_meet-{F}(V2,V4,V6), P_join-{F}(V5,V6,V7), P_join-{F}(V2,V4,V8), P_meet-{F}(V3,V8,V9), P_join-{F}(V6,V9,V10), P_join-{F}(V5,V10,V11), P_meet-{F}(V2,V11,V12), V7 == V12 | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #13: input, references = 4, size of lhs = 6:
% 227.53/227.70 P_one-{F}(V0), P_zero-{F}(V1), P_b-{F}(V2), P_a-{F}(V3), P_meet-{F}(V2,V3,V4), V4 == V3 | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #14: input, references = 7, size of lhs = 8:
% 227.53/227.70 P_one-{F}(V0), P_zero-{F}(V1), P_b-{F}(V2), P_a-{F}(V3), P_meet-{F}(V2,V3,V4), P_complement-{F}(V2,V5), P_complement-{F}(V3,V6), P_join-{F}(V5,V6,V6) | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #15: input, references = 6, size of lhs = 4:
% 227.53/227.70 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ifeq-{T}(V0,V1,V2,V3,V4)
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #16: input, references = 12, size of lhs = 2:
% 227.53/227.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #17: input, references = 8, size of lhs = 2:
% 227.53/227.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #18: input, references = 14, size of lhs = 1:
% 227.53/227.70 #-{F} V0 | EXISTS V1: P_complement-{T}(V0,V1)
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #19: input, references = 4, size of lhs = 0:
% 227.53/227.70 FALSE | EXISTS V0: P_one-{T}(V0)
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #20: input, references = 4, size of lhs = 0:
% 227.53/227.70 FALSE | EXISTS V0: P_zero-{T}(V0)
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #21: input, references = 4, size of lhs = 0:
% 227.53/227.70 FALSE | EXISTS V0: P_b-{T}(V0)
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #22: input, references = 6, size of lhs = 0:
% 227.53/227.70 FALSE | EXISTS V0: P_a-{T}(V0)
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 number of initial rules = 23
% 227.53/227.70
% 227.53/227.70 Simplifiers:
% 227.53/227.70 #23: unsound, references = 3, size of lhs = 3:
% 227.53/227.70 P_ifeq-{F}(V0,V1,V2,V3,V4), P_ifeq-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #24: unsound, references = 3, size of lhs = 3:
% 227.53/227.70 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #25: unsound, references = 3, size of lhs = 3:
% 227.53/227.70 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #26: unsound, references = 3, size of lhs = 3:
% 227.53/227.70 P_complement-{F}(V0,V1), P_complement-{F}(V0,V3), V1 == V3 | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #27: unsound, references = 3, size of lhs = 3:
% 227.53/227.70 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #28: unsound, references = 3, size of lhs = 3:
% 227.53/227.70 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #29: unsound, references = 3, size of lhs = 3:
% 227.53/227.70 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #30: unsound, references = 3, size of lhs = 3:
% 227.53/227.70 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 number of simplifiers = 8
% 227.53/227.70
% 227.53/227.70 Learnt:
% 227.53/227.70 #32: exists( #16, #10 ), references = 10, size of lhs = 3:
% 227.53/227.70 P_one-{F}(V0), P_zero-{F}(V1), P_complement-{F}(V2,V3) | P_meet-{T}(V2,V3,V1)
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #35: exists( #16, #1 ), references = 2, size of lhs = 1:
% 227.53/227.70 #-{F} V0 | P_meet-{T}(V0,V0,V0)
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #38: exists( #17, #2 ), references = 2, size of lhs = 1:
% 227.53/227.70 #-{F} V0 | P_join-{T}(V0,V0,V0)
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #39: exists( #17, #4 ), references = 12, size of lhs = 1:
% 227.53/227.70 P_meet-{F}(V0,V1,V2) | P_join-{T}(V0,V2,V0)
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #41: exists( #15, #0 ), references = 1, size of lhs = 3:
% 227.53/227.70 #-{F} V0, #-{F} V1, #-{F} V2 | P_ifeq-{T}(V0,V0,V1,V2,V1)
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #44: exists( #18, #42 ), references = 1, size of lhs = 5:
% 227.53/227.70 P_one-{F}(V0), P_zero-{F}(V1), P_b-{F}(V2), P_a-{F}(V2), P_meet-{F}(V2,V2,V3) | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #50: exists( #16, #7 ), references = 4, size of lhs = 3:
% 227.53/227.70 P_meet-{F}(V0,V1,V2), P_meet-{F}(V2,V3,V4), P_meet-{F}(V1,V3,V5) | P_meet-{T}(V0,V5,V4)
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #52: exists( #16, #5 ), references = 13, size of lhs = 1:
% 227.53/227.70 P_meet-{F}(V0,V1,V2) | P_meet-{T}(V1,V0,V2)
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #54: exists( #17, #6 ), references = 13, size of lhs = 1:
% 227.53/227.70 P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #56: exists( #16, #13 ), references = 4, size of lhs = 4:
% 227.53/227.70 P_one-{F}(V0), P_zero-{F}(V1), P_b-{F}(V2), P_a-{F}(V3) | P_meet-{T}(V2,V3,V3)
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #58: exists( #17, #9 ), references = 10, size of lhs = 2:
% 227.53/227.70 P_one-{F}(V0), P_complement-{F}(V1,V2) | P_join-{T}(V1,V2,V0)
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #68: mergings( V2 == V3; #66 ), references = 1, size of lhs = 4:
% 227.53/227.70 P_zero-{F}(V0), P_one-{F}(V0), P_join-{F}(V1,V1,V1), V0 == V1 | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #82: mergings( V0 == V2; #80 ), references = 1, size of lhs = 2:
% 227.53/227.70 P_one-{F}(V0), P_zero-{F}(V1) | P_complement-{T}(V0,V1)
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #90: mergings( V2 == V4, V3 == V5; #87 ), references = 1, size of lhs = 6:
% 227.53/227.70 P_one-{F}(V0), P_zero-{F}(V1), P_b-{F}(V2), P_complement-{F}(V2,V1), P_a-{F}(V3), P_meet-{F}(V2,V3,V4) | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #97: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #92 ), references = 1, size of lhs = 4:
% 227.53/227.70 P_one-{F}(V0), P_zero-{F}(V1), P_b-{F}(V2), P_complement-{F}(V2,V1) | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #104: exists( #18, #100 ), references = 2, size of lhs = 3:
% 227.53/227.70 P_one-{F}(V0), P_meet-{F}(V1,V0,V2), V2 == V1 | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #105: exists( #18, #101 ), references = 1, size of lhs = 4:
% 227.53/227.70 P_one-{F}(V0), P_join-{F}(V1,V2,V2), P_join-{F}(V1,V0,V3), V0 == V3 | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #114: exists( #16, #104 ), references = 7, size of lhs = 2:
% 227.53/227.70 P_one-{F}(V0), #-{F} V1 | P_meet-{T}(V1,V0,V1)
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #115: exists( #16, #3 ), references = 3, size of lhs = 1:
% 227.53/227.70 P_join-{F}(V0,V1,V2) | P_meet-{T}(V0,V2,V0)
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #124: exists( #18, #116 ), references = 2, size of lhs = 4:
% 227.53/227.70 P_one-{F}(V0), P_zero-{F}(V1), P_join-{F}(V2,V1,V3), V3 == V2 | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #125: exists( #18, #117 ), references = 1, size of lhs = 5:
% 227.53/227.70 P_one-{F}(V0), P_zero-{F}(V1), P_meet-{F}(V2,V3,V3), P_meet-{F}(V2,V1,V4), V1 == V4 | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #130: mergings( V2 == V3, V3 == V4, V4 == V6, V5 == V7; #123 ), references = 1, size of lhs = 8:
% 227.53/227.70 P_one-{F}(V0), P_zero-{F}(V1), P_join-{F}(V1,V0,V2), P_meet-{F}(V3,V4,V3), P_join-{F}(V3,V4,V0), P_join-{F}(V1,V3,V5), P_meet-{F}(V3,V2,V6), V5 == V6 | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #141: mergings( V1 == V4, V2 == V3; #138 ), references = 1, size of lhs = 3:
% 227.53/227.70 P_b-{F}(V0), P_zero-{F}(V0), P_one-{F}(V1) | P_a-{T}(V0)
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #145: exists( #15, #11 ), references = 2, size of lhs = 6:
% 227.53/227.70 P_one-{F}(V0), P_zero-{F}(V1), P_complement-{F}(V2,V3), P_join-{F}(V2,V4,V5), P_meet-{F}(V2,V4,V6), P_ifeq-{F}(V6,V1,V3,V4,V7) | P_ifeq-{T}(V5,V0,V7,V4,V4)
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #147: exists( #17, #8 ), references = 4, size of lhs = 3:
% 227.53/227.70 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V3,V4), P_join-{F}(V0,V4,V5) | P_join-{T}(V2,V3,V5)
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #158: exists( #15, #156 ), references = 2, size of lhs = 5:
% 227.53/227.70 P_one-{F}(V0), P_zero-{F}(V1), P_complement-{F}(V2,V3), P_join-{F}(V2,V4,V0), P_meet-{F}(V2,V4,V5) | P_ifeq-{T}(V5,V1,V3,V4,V4)
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #163: mergings( V2 == V3; #161 ), references = 1, size of lhs = 2:
% 227.53/227.70 P_one-{F}(V0), P_zero-{F}(V1) | P_complement-{T}(V1,V0)
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #170: mergings( V2 == V3; #168 ), references = 1, size of lhs = 6:
% 227.53/227.70 P_one-{F}(V0), P_zero-{F}(V1), P_b-{F}(V2), P_a-{F}(V3), P_complement-{F}(V3,V0), P_meet-{F}(V2,V3,V4) | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #179: exists( #17, #12 ), references = 2, size of lhs = 9:
% 227.53/227.70 P_one-{F}(V0), P_zero-{F}(V1), P_meet-{F}(V2,V3,V4), P_meet-{F}(V2,V5,V6), P_join-{F}(V2,V5,V7), P_meet-{F}(V3,V7,V8), P_join-{F}(V6,V8,V9), P_join-{F}(V4,V9,V10), P_meet-{F}(V2,V10,V11) | P_join-{T}(V4,V6,V11)
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #197: mergings( V3 == V5, V4 == V6; #194 ), references = 3, size of lhs = 14:
% 227.53/227.70 P_one-{F}(V0), P_zero-{F}(V1), P_meet-{F}(V2,V3,V3), P_meet-{F}(V3,V2,V4), P_join-{F}(V5,V4,V0), P_meet-{F}(V6,V3,V1), P_meet-{F}(V3,V7,V8), P_join-{F}(V3,V7,V9), P_join-{F}(V5,V8,V10), P_meet-{F}(V10,V3,V11), P_meet-{F}(V11,V12,V6), P_meet-{F}(V12,V9,V13), P_join-{F}(V8,V13,V2), P_complement-{F}(V10,V14) | P_meet-{T}(V3,V12,V14)
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #250: mergings( V2 == V3, V3 == V4, V4 == V6, V5 == V7, V11 == V8; #242 ), references = 1, size of lhs = 14:
% 227.53/227.70 P_one-{F}(V0), P_zero-{F}(V1), P_meet-{F}(V0,V2,V2), P_meet-{F}(V1,V2,V1), P_meet-{F}(V2,V0,V2), P_meet-{F}(V3,V2,V2), P_join-{F}(V2,V4,V0), P_meet-{F}(V2,V4,V5), P_join-{F}(V6,V2,V0), P_join-{F}(V6,V5,V7), P_meet-{F}(V7,V2,V5), P_complement-{F}(V7,V8), P_meet-{F}(V3,V8,V9), V8 == V9 | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #258: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V8, V5 == V7, V7 == V9, V12 == V10; #243 ), references = 1, size of lhs = 20:
% 227.53/227.70 P_one-{F}(V0), P_zero-{F}(V1), P_meet-{F}(V0,V2,V2), P_meet-{F}(V1,V2,V1), P_meet-{F}(V2,V0,V2), P_join-{F}(V2,V3,V0), P_meet-{F}(V2,V3,V4), P_join-{F}(V5,V2,V0), P_join-{F}(V5,V4,V6), P_meet-{F}(V6,V2,V4), P_complement-{F}(V6,V7), P_join-{F}(V8,V4,V2), P_join-{F}(V8,V0,V9), P_meet-{F}(V2,V10,V11), P_join-{F}(V11,V7,V12), P_meet-{F}(V10,V9,V13), P_join-{F}(V7,V13,V14), P_join-{F}(V11,V14,V15), P_meet-{F}(V2,V15,V16), V12 == V16 | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #268: mergings( V3 == V4, V4 == V5, V5 == V7, V6 == V8, V12 == V9; #261 ), references = 1, size of lhs = 12:
% 227.53/227.70 P_one-{F}(V0), P_zero-{F}(V1), P_meet-{F}(V0,V2,V2), P_meet-{F}(V1,V2,V1), P_meet-{F}(V2,V0,V2), P_meet-{F}(V3,V2,V2), P_join-{F}(V2,V4,V0), P_meet-{F}(V2,V4,V5), P_join-{F}(V6,V2,V0), P_join-{F}(V6,V5,V7), P_meet-{F}(V7,V2,V5), P_complement-{F}(V7,V8) | P_meet-{T}(V8,V3,V8)
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #276: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V9, V6 == V8, V8 == V10, V13 == V1; #262 ), references = 1, size of lhs = 18:
% 227.53/227.70 P_one-{F}(V0), P_zero-{F}(V1), P_meet-{F}(V0,V2,V2), P_meet-{F}(V1,V2,V1), P_meet-{F}(V2,V0,V2), P_join-{F}(V2,V3,V0), P_meet-{F}(V2,V3,V4), P_join-{F}(V5,V2,V0), P_join-{F}(V5,V4,V6), P_meet-{F}(V6,V2,V4), P_complement-{F}(V6,V7), P_join-{F}(V8,V4,V2), P_join-{F}(V8,V0,V9), P_meet-{F}(V2,V10,V11), P_join-{F}(V11,V7,V12), P_meet-{F}(V10,V9,V13), P_join-{F}(V7,V13,V14), P_join-{F}(V11,V14,V15) | P_meet-{T}(V15,V2,V12)
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #291: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V9, V6 == V8, V8 == V10, V16 == V1; #283 ), references = 1, size of lhs = 14:
% 227.53/227.70 P_one-{F}(V0), P_zero-{F}(V1), P_b-{F}(V2), P_a-{F}(V3), P_meet-{F}(V2,V3,V4), P_complement-{F}(V2,V5), P_complement-{F}(V3,V6), P_complement-{F}(V7,V5), P_meet-{F}(V0,V8,V8), P_meet-{F}(V1,V8,V1), P_meet-{F}(V6,V8,V8), P_join-{F}(V8,V7,V0), P_meet-{F}(V8,V0,V8), P_join-{F}(V7,V8,V0) | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #310: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V7 == V9; #303 ), references = 1, size of lhs = 9:
% 227.53/227.70 P_one-{F}(V0), P_zero-{F}(V1), P_b-{F}(V2), P_a-{F}(V3), P_meet-{F}(V2,V3,V4), P_complement-{F}(V2,V5), P_join-{F}(V6,V0,V0), P_join-{F}(V6,V3,V7), P_complement-{F}(V7,V5) | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #318: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V7 == V9; #311 ), references = 1, size of lhs = 7:
% 227.53/227.70 P_one-{F}(V0), P_zero-{F}(V1), P_b-{F}(V2), P_a-{F}(V3), P_meet-{F}(V2,V3,V4), P_join-{F}(V5,V0,V0), P_join-{F}(V5,V3,V2) | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #330: mergings( V1 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V2 == V8, V8 == V10; #321 ), references = 2, size of lhs = 4:
% 227.53/227.70 P_one-{F}(V0), P_zero-{F}(V1), P_b-{F}(V2), P_join-{F}(V2,V0,V0) | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #336: exists( #21, #334 ), references = 1, size of lhs = 2:
% 227.53/227.70 P_one-{F}(V0), P_zero-{F}(V1) | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #338: exists( #20, #335 ), references = 1, size of lhs = 1:
% 227.53/227.70 P_one-{F}(V0) | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 #340: exists( #19, #337 ), references = 1, size of lhs = 0:
% 227.53/227.70 FALSE | FALSE
% 227.53/227.70 (used 0 times, uses = {})
% 227.53/227.70
% 227.53/227.70 number of learnt formulas = 41
% 227.53/227.70
% 227.53/227.70
% 227.53/227.70 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 227.53/227.70
% 227.53/227.70 randbase = 1
%------------------------------------------------------------------------------