TSTP Solution File: LAT044-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT044-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:07:50 EDT 2022
% Result : Unsatisfiable 6.44s 6.66s
% Output : Refutation 6.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT044-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n008.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 20:28:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 6.44/6.66 GeoParameters:
% 6.44/6.66
% 6.44/6.66 tptp_input = 1
% 6.44/6.66 tptp_output = 0
% 6.44/6.66 nonempty = 1
% 6.44/6.66 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.44/6.66 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 6.44/6.66
% 6.44/6.66
% 6.44/6.66 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.44/6.66 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.44/6.66
% 6.44/6.66 RuleSystem INPUT:
% 6.44/6.66
% 6.44/6.66 Initial Rules:
% 6.44/6.66 #0: input, references = 4, size of lhs = 2:
% 6.44/6.66 P_meet-{F}(V0,V0,V1), V1 == V0 | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #1: input, references = 4, size of lhs = 2:
% 6.44/6.66 P_join-{F}(V0,V0,V1), V1 == V0 | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #2: input, references = 3, size of lhs = 3:
% 6.44/6.66 P_join-{F}(V0,V1,V2), P_meet-{F}(V0,V2,V3), V3 == V0 | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #3: input, references = 5, size of lhs = 3:
% 6.44/6.66 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V2,V3), V3 == V0 | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #4: input, references = 4, size of lhs = 3:
% 6.44/6.66 P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V0,V3), V2 == V3 | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #5: input, references = 4, size of lhs = 3:
% 6.44/6.66 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #6: input, references = 3, size of lhs = 5:
% 6.44/6.66 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
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #7: input, references = 5, size of lhs = 5:
% 6.44/6.66 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
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #8: input, references = 5, size of lhs = 6:
% 6.44/6.66 P_join-{F}(V0,V1,V2), P_complement-{F}(V2,V3), P_complement-{F}(V0,V4), P_complement-{F}(V1,V5), P_meet-{F}(V4,V5,V6), V3 == V6 | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #9: input, references = 4, size of lhs = 6:
% 6.44/6.66 P_meet-{F}(V0,V1,V2), P_complement-{F}(V2,V3), P_complement-{F}(V0,V4), P_complement-{F}(V1,V5), P_join-{F}(V4,V5,V6), V3 == V6 | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #10: input, references = 4, size of lhs = 4:
% 6.44/6.66 P_n1-{F}(V0), P_complement-{F}(V1,V2), P_join-{F}(V2,V1,V3), V3 == V0 | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #11: input, references = 4, size of lhs = 5:
% 6.44/6.66 P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V2,V3), P_meet-{F}(V3,V2,V4), V4 == V1 | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #12: input, references = 4, size of lhs = 5:
% 6.44/6.66 P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V2,V3), P_complement-{F}(V3,V4), V4 == V2 | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #13: input, references = 4, size of lhs = 7:
% 6.44/6.66 P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V2,V4), P_join-{F}(V2,V3,V5), P_meet-{F}(V4,V5,V6), P_join-{F}(V2,V6,V7), V7 == V5 | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #14: input, references = 9, size of lhs = 11:
% 6.44/6.66 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_b-{F}(V4), P_join-{F}(V2,V4,V5), P_meet-{F}(V3,V5,V6), P_complement-{F}(V4,V7), P_meet-{F}(V2,V4,V8), P_join-{F}(V7,V8,V9), P_join-{F}(V6,V9,V0) | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #15: input, references = 11, size of lhs = 2:
% 6.44/6.66 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #16: input, references = 12, size of lhs = 2:
% 6.44/6.66 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #17: input, references = 11, size of lhs = 1:
% 6.44/6.66 #-{F} V0 | EXISTS V1: P_complement-{T}(V0,V1)
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #18: input, references = 4, size of lhs = 0:
% 6.44/6.66 FALSE | EXISTS V0: P_n1-{T}(V0)
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #19: input, references = 4, size of lhs = 0:
% 6.44/6.66 FALSE | EXISTS V0: P_n0-{T}(V0)
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #20: input, references = 4, size of lhs = 0:
% 6.44/6.66 FALSE | EXISTS V0: P_a-{T}(V0)
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #21: input, references = 5, size of lhs = 0:
% 6.44/6.66 FALSE | EXISTS V0: P_b-{T}(V0)
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 number of initial rules = 22
% 6.44/6.66
% 6.44/6.66 Simplifiers:
% 6.44/6.66 #22: unsound, references = 3, size of lhs = 3:
% 6.44/6.66 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #23: unsound, references = 3, size of lhs = 3:
% 6.44/6.66 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #24: unsound, references = 3, size of lhs = 3:
% 6.44/6.66 P_complement-{F}(V0,V1), P_complement-{F}(V0,V3), V1 == V3 | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #25: unsound, references = 3, size of lhs = 3:
% 6.44/6.66 P_n1-{F}(V0), P_n1-{F}(V1), V0 == V1 | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #26: unsound, references = 3, size of lhs = 3:
% 6.44/6.66 P_n0-{F}(V0), P_n0-{F}(V1), V0 == V1 | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #27: unsound, references = 3, size of lhs = 3:
% 6.44/6.66 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #28: unsound, references = 3, size of lhs = 3:
% 6.44/6.66 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 number of simplifiers = 7
% 6.44/6.66
% 6.44/6.66 Learnt:
% 6.44/6.66 #30: exists( #15, #11 ), references = 5, size of lhs = 3:
% 6.44/6.66 P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V2,V3) | P_meet-{T}(V3,V2,V1)
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #33: exists( #15, #0 ), references = 1, size of lhs = 1:
% 6.44/6.66 #-{F} V0 | P_meet-{T}(V0,V0,V0)
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #37: exists( #16, #1 ), references = 2, size of lhs = 1:
% 6.44/6.66 #-{F} V0 | P_join-{T}(V0,V0,V0)
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #38: exists( #16, #3 ), references = 9, size of lhs = 1:
% 6.44/6.66 P_meet-{F}(V0,V1,V2) | P_join-{T}(V0,V2,V0)
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #39: exists( #16, #9 ), references = 1, size of lhs = 4:
% 6.44/6.66 P_complement-{F}(V0,V1), P_meet-{F}(V0,V2,V3), P_complement-{F}(V3,V4), P_complement-{F}(V2,V5) | P_join-{T}(V1,V5,V4)
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #44: exists( #15, #4 ), references = 7, size of lhs = 1:
% 6.44/6.66 P_meet-{F}(V0,V1,V2) | P_meet-{T}(V1,V0,V2)
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #45: exists( #15, #8 ), references = 5, size of lhs = 4:
% 6.44/6.66 P_complement-{F}(V0,V1), P_join-{F}(V0,V2,V3), P_complement-{F}(V3,V4), P_complement-{F}(V2,V5) | P_meet-{T}(V1,V5,V4)
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #48: exists( #16, #5 ), references = 7, size of lhs = 1:
% 6.44/6.66 P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #49: exists( #16, #10 ), references = 8, size of lhs = 2:
% 6.44/6.66 P_n1-{F}(V0), P_complement-{F}(V1,V2) | P_join-{T}(V2,V1,V0)
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #51: exists( #17, #12 ), references = 11, size of lhs = 3:
% 6.44/6.66 P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V2,V3) | P_complement-{T}(V3,V2)
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #61: mergings( V2 == V3; #59 ), references = 1, size of lhs = 2:
% 6.44/6.66 P_n1-{F}(V0), P_n0-{F}(V1) | P_complement-{T}(V1,V0)
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #75: mergings( V2 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #69 ), references = 1, size of lhs = 8:
% 6.44/6.66 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V1,V2), P_complement-{F}(V2,V3), P_b-{F}(V4), P_meet-{F}(V3,V2,V5), P_join-{F}(V5,V0,V0) | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #82: mergings( V1 == V2, V2 == V4, V4 == V6, V3 == V5, V5 == V7; #76 ), references = 1, size of lhs = 7:
% 6.44/6.66 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V1,V2), P_complement-{F}(V2,V3), P_meet-{F}(V3,V2,V4), P_join-{F}(V4,V0,V0) | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #99: mergings( V8 == V9, V3 == V10, V2 == V4, V4 == V6, V10 == V5, V5 == V7; #92 ), references = 1, size of lhs = 8:
% 6.44/6.66 P_b-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1), P_a-{F}(V2), P_complement-{F}(V0,V3), P_complement-{F}(V3,V0), P_join-{F}(V3,V0,V4), P_join-{F}(V0,V4,V1) | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #106: mergings( V2 == V3, V3 == V5, V4 == V6; #102 ), references = 1, size of lhs = 7:
% 6.44/6.66 P_n1-{F}(V0), P_n0-{F}(V1), P_join-{F}(V1,V0,V0), P_a-{F}(V2), P_b-{F}(V2), P_join-{F}(V2,V2,V2), P_meet-{F}(V2,V2,V2) | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #119: exists( #17, #8 ), references = 8, size of lhs = 4:
% 6.44/6.66 P_complement-{F}(V0,V1), P_join-{F}(V0,V2,V3), P_complement-{F}(V2,V4), P_meet-{F}(V1,V4,V5) | P_complement-{T}(V3,V5)
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #121: exists( #16, #7 ), references = 8, size of lhs = 3:
% 6.44/6.66 P_join-{F}(V0,V1,V2), P_join-{F}(V2,V3,V4), P_join-{F}(V1,V3,V5) | P_join-{T}(V0,V5,V4)
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #123: exists( #16, #13 ), references = 2, size of lhs = 5:
% 6.44/6.66 P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V2,V3), P_join-{F}(V2,V4,V5), P_meet-{F}(V3,V5,V6) | P_join-{T}(V2,V6,V5)
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #134: mergings( V10 == V0, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #128 ), references = 2, size of lhs = 16:
% 6.44/6.66 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_complement-{F}(V4,V3), P_b-{F}(V5), P_join-{F}(V2,V5,V6), P_complement-{F}(V5,V7), P_meet-{F}(V2,V5,V8), P_join-{F}(V7,V8,V9), P_complement-{F}(V10,V3), P_join-{F}(V10,V11,V6), P_complement-{F}(V11,V12), P_complement-{F}(V12,V13), P_join-{F}(V13,V9,V0), P_join-{F}(V4,V14,V12) | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #144: mergings( V3 == V5, V4 == V6; #141 ), references = 2, size of lhs = 13:
% 6.44/6.66 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_b-{F}(V4), P_join-{F}(V2,V4,V5), P_complement-{F}(V4,V6), P_meet-{F}(V2,V4,V7), P_join-{F}(V6,V7,V8), P_complement-{F}(V9,V5), P_join-{F}(V9,V10,V8), P_join-{F}(V3,V10,V0), P_join-{F}(V9,V11,V3) | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #157: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #152 ), references = 1, size of lhs = 13:
% 6.44/6.66 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_b-{F}(V4), P_join-{F}(V2,V4,V5), P_complement-{F}(V4,V6), P_meet-{F}(V2,V4,V7), P_join-{F}(V6,V7,V8), P_join-{F}(V3,V8,V0), P_complement-{F}(V9,V3), P_join-{F}(V9,V10,V5), P_complement-{F}(V10,V8) | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #164: mergings( V10 == V12, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #158 ), references = 1, size of lhs = 9:
% 6.44/6.66 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_meet-{F}(V2,V3,V4), P_complement-{F}(V3,V5), P_join-{F}(V5,V4,V5), P_complement-{F}(V2,V6), P_join-{F}(V6,V5,V0) | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #179: exists( #16, #171 ), references = 1, size of lhs = 11:
% 6.44/6.66 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_b-{F}(V4), P_join-{F}(V2,V4,V5), P_meet-{F}(V3,V5,V6), P_complement-{F}(V4,V7), P_meet-{F}(V2,V4,V8), P_join-{F}(V6,V7,V9), P_join-{F}(V9,V8,V0) | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #180: exists( #16, #175 ), references = 1, size of lhs = 14:
% 6.44/6.66 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_b-{F}(V4), P_join-{F}(V2,V4,V5), P_complement-{F}(V4,V6), P_meet-{F}(V2,V4,V7), P_complement-{F}(V8,V5), P_join-{F}(V8,V9,V3), P_join-{F}(V8,V10,V10), P_join-{F}(V10,V6,V6), P_join-{F}(V3,V6,V11), P_join-{F}(V11,V7,V0) | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #181: exists( #16, #173 ), references = 1, size of lhs = 16:
% 6.44/6.66 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_complement-{F}(V4,V3), P_b-{F}(V5), P_join-{F}(V2,V5,V6), P_complement-{F}(V5,V7), P_meet-{F}(V2,V5,V8), P_complement-{F}(V9,V3), P_join-{F}(V9,V10,V6), P_complement-{F}(V10,V11), P_complement-{F}(V11,V12), P_join-{F}(V4,V13,V11), P_join-{F}(V12,V7,V14), P_join-{F}(V14,V8,V0) | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #196: mergings( V3 == V5, V4 == V6; #191 ), references = 1, size of lhs = 12:
% 6.44/6.66 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_b-{F}(V4), P_join-{F}(V2,V4,V5), P_meet-{F}(V3,V5,V6), P_complement-{F}(V4,V7), P_meet-{F}(V2,V4,V8), P_complement-{F}(V6,V9), P_complement-{F}(V7,V10), P_meet-{F}(V9,V10,V8) | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #199: mergings( V3 == V5, V4 == V6; #192 ), references = 2, size of lhs = 15:
% 6.44/6.66 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_b-{F}(V4), P_join-{F}(V2,V4,V5), P_complement-{F}(V4,V6), P_meet-{F}(V2,V4,V7), P_complement-{F}(V8,V5), P_join-{F}(V8,V9,V3), P_join-{F}(V8,V10,V10), P_join-{F}(V10,V6,V6), P_complement-{F}(V3,V11), P_complement-{F}(V6,V12), P_meet-{F}(V11,V12,V7) | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #202: mergings( V3 == V5, V4 == V6; #193 ), references = 1, size of lhs = 17:
% 6.44/6.66 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_complement-{F}(V4,V3), P_b-{F}(V5), P_join-{F}(V2,V5,V6), P_complement-{F}(V5,V7), P_meet-{F}(V2,V5,V8), P_complement-{F}(V9,V3), P_join-{F}(V9,V10,V6), P_complement-{F}(V10,V11), P_complement-{F}(V11,V12), P_join-{F}(V4,V13,V11), P_complement-{F}(V12,V14), P_complement-{F}(V7,V15), P_meet-{F}(V14,V15,V8) | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #208: exists( #16, #206 ), references = 1, size of lhs = 7:
% 6.44/6.66 P_n1-{F}(V0), P_complement-{F}(V1,V2), P_join-{F}(V3,V0,V4), P_complement-{F}(V5,V6), P_meet-{F}(V6,V2,V7), P_join-{F}(V3,V7,V8), P_join-{F}(V8,V5,V5) | P_join-{T}(V5,V1,V4)
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #225: mergings( V3 == V5, V4 == V6; #222 ), references = 1, size of lhs = 15:
% 6.44/6.66 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_b-{F}(V4), P_join-{F}(V2,V4,V5), P_complement-{F}(V4,V6), P_meet-{F}(V2,V4,V7), P_complement-{F}(V3,V8), P_complement-{F}(V6,V9), P_meet-{F}(V8,V9,V7), P_complement-{F}(V10,V3), P_join-{F}(V10,V11,V5), P_complement-{F}(V11,V12), P_join-{F}(V12,V6,V6) | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #230: mergings( V8 == V12, V3 == V5, V4 == V6; #226 ), references = 1, size of lhs = 11:
% 6.44/6.66 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_meet-{F}(V2,V3,V4), P_complement-{F}(V2,V5), P_complement-{F}(V5,V6), P_complement-{F}(V3,V7), P_join-{F}(V7,V7,V7), P_complement-{F}(V7,V8), P_meet-{F}(V6,V8,V4) | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #235: mergings( V7 == V9, V3 == V5, V4 == V6; #231 ), references = 1, size of lhs = 9:
% 6.44/6.66 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_complement-{F}(V3,V5), P_complement-{F}(V5,V3), P_join-{F}(V5,V5,V5) | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #243: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #238 ), references = 1, size of lhs = 6:
% 6.44/6.66 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) | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #252: mergings( V2 == V4, V4 == V6, V6 == V8, V3 == V5, V5 == V7, V7 == V9; #245 ), references = 1, size of lhs = 4:
% 6.44/6.66 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #260: mergings( V1 == V3, V3 == V5, V5 == V7, V2 == V4, V4 == V6, V6 == V8; #253 ), references = 1, size of lhs = 3:
% 6.44/6.66 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2) | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #268: mergings( V1 == V3, V3 == V5, V5 == V7, V2 == V4, V4 == V6, V6 == V8; #261 ), references = 1, size of lhs = 2:
% 6.44/6.66 P_n1-{F}(V0), P_n0-{F}(V1) | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #273: mergings( V1 == V2, V2 == V3, V3 == V4; #269 ), references = 1, size of lhs = 1:
% 6.44/6.66 P_n1-{F}(V0) | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 #275: exists( #18, #269 ), references = 1, size of lhs = 0:
% 6.44/6.66 FALSE | FALSE
% 6.44/6.66 (used 0 times, uses = {})
% 6.44/6.66
% 6.44/6.66 number of learnt formulas = 38
% 6.44/6.66
% 6.44/6.66
% 6.44/6.66 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.44/6.66
% 6.44/6.66 randbase = 1
%------------------------------------------------------------------------------