%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT171-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 06:08:01 EDT 2022
% Result : Unsatisfiable 22.54s 22.75s
% Output : Refutation 22.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT171-1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 19:50:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 22.54/22.75 GeoParameters:
% 22.54/22.75
% 22.54/22.75 tptp_input = 1
% 22.54/22.75 tptp_output = 0
% 22.54/22.75 nonempty = 1
% 22.54/22.75 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.54/22.75 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 22.54/22.75
% 22.54/22.75
% 22.54/22.75 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.54/22.75 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.54/22.75
% 22.54/22.75 RuleSystem INPUT:
% 22.54/22.75
% 22.54/22.75 Initial Rules:
% 22.54/22.75 #0: input, references = 4, size of lhs = 2:
% 22.54/22.75 P_meet-{F}(V0,V0,V1), V1 == V0 | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #1: input, references = 4, size of lhs = 2:
% 22.54/22.75 P_join-{F}(V0,V0,V1), V1 == V0 | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #2: input, references = 4, size of lhs = 3:
% 22.54/22.75 P_join-{F}(V0,V1,V2), P_meet-{F}(V0,V2,V3), V3 == V0 | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #3: input, references = 4, size of lhs = 3:
% 22.54/22.75 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V2,V3), V3 == V0 | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #4: input, references = 4, size of lhs = 3:
% 22.54/22.75 P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V0,V3), V2 == V3 | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #5: input, references = 4, size of lhs = 3:
% 22.54/22.75 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #6: input, references = 4, size of lhs = 5:
% 22.54/22.75 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
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #7: input, references = 4, size of lhs = 5:
% 22.54/22.75 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
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #8: input, references = 4, size of lhs = 8:
% 22.54/22.75 P_meet-{F}(V0,V1,V3), P_meet-{F}(V0,V2,V4), P_join-{F}(V3,V4,V5), P_join-{F}(V0,V1,V6), P_meet-{F}(V6,V2,V7), P_join-{F}(V3,V7,V8), P_meet-{F}(V0,V8,V9), V5 == V9 | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #9: input, references = 10, size of lhs = 10:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V1,V3,V4), P_meet-{F}(V0,V4,V9), P_join-{F}(V0,V1,V6), P_meet-{F}(V2,V6,V7), P_join-{F}(V9,V7,V8), P_meet-{F}(V0,V8,V9) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #10: input, references = 17, size of lhs = 2:
% 22.54/22.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #11: input, references = 23, size of lhs = 2:
% 22.54/22.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #12: input, references = 4, size of lhs = 0:
% 22.54/22.75 FALSE | EXISTS V0: P_a-{T}(V0)
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #13: input, references = 4, size of lhs = 0:
% 22.54/22.75 FALSE | EXISTS V0: P_b-{T}(V0)
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #14: input, references = 5, size of lhs = 0:
% 22.54/22.75 FALSE | EXISTS V0: P_c-{T}(V0)
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 number of initial rules = 15
% 22.54/22.75
% 22.54/22.75 Simplifiers:
% 22.54/22.75 #15: unsound, references = 3, size of lhs = 3:
% 22.54/22.75 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #16: unsound, references = 3, size of lhs = 3:
% 22.54/22.75 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #17: unsound, references = 3, size of lhs = 3:
% 22.54/22.75 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #18: unsound, references = 3, size of lhs = 3:
% 22.54/22.75 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #19: unsound, references = 3, size of lhs = 3:
% 22.54/22.75 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 number of simplifiers = 5
% 22.54/22.75
% 22.54/22.75 Learnt:
% 22.54/22.75 #21: exists( #10, #0 ), references = 2, size of lhs = 1:
% 22.54/22.75 #-{F} V0 | P_meet-{T}(V0,V0,V0)
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #24: exists( #11, #1 ), references = 1, size of lhs = 1:
% 22.54/22.75 #-{F} V0 | P_join-{T}(V0,V0,V0)
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #25: exists( #11, #3 ), references = 13, size of lhs = 1:
% 22.54/22.75 P_meet-{F}(V0,V1,V2) | P_join-{T}(V0,V2,V0)
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #27: exists( #10, #4 ), references = 29, size of lhs = 1:
% 22.54/22.75 P_meet-{F}(V0,V1,V2) | P_meet-{T}(V1,V0,V2)
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #31: exists( #10, #29 ), references = 1, size of lhs = 5:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V0), P_meet-{F}(V0,V0,V0), P_join-{F}(V0,V0,V0), P_c-{F}(V1) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #33: exists( #14, #30 ), references = 1, size of lhs = 4:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V0), P_meet-{F}(V0,V0,V0), P_join-{F}(V0,V0,V0) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #36: exists( #11, #5 ), references = 25, size of lhs = 1:
% 22.54/22.75 P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #38: exists( #10, #6 ), references = 18, size of lhs = 3:
% 22.54/22.75 P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V3,V4), P_meet-{F}(V0,V4,V5) | P_meet-{T}(V2,V3,V5)
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #54: exists( #10, #2 ), references = 18, size of lhs = 1:
% 22.54/22.75 P_join-{F}(V0,V1,V2) | P_meet-{T}(V0,V2,V0)
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #59: exists( #11, #57 ), references = 1, size of lhs = 6:
% 22.54/22.75 P_a-{F}(V0), P_c-{F}(V0), P_meet-{F}(V0,V0,V0), P_b-{F}(V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V0,V2,V0) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #68: mergings( V3 == V8; #66 ), references = 3, size of lhs = 9:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V1,V3,V4), P_meet-{F}(V0,V4,V5), P_meet-{F}(V6,V1,V2), P_join-{F}(V5,V2,V7), P_meet-{F}(V0,V7,V5) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #76: exists( #10, #74 ), references = 1, size of lhs = 8:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V1,V3,V4), P_meet-{F}(V5,V1,V2), P_meet-{F}(V0,V6,V2), P_meet-{F}(V4,V7,V6) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #95: exists( #10, #93 ), references = 2, size of lhs = 9:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V1,V3,V4), P_join-{F}(V0,V1,V5), P_meet-{F}(V2,V5,V6), P_meet-{F}(V0,V7,V6), P_meet-{F}(V4,V8,V7) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #100: mergings( V3 == V7; #98 ), references = 1, size of lhs = 8:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V1,V3,V4), P_meet-{F}(V5,V0,V2), P_meet-{F}(V0,V6,V2), P_meet-{F}(V4,V7,V6) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #106: mergings( V4 == V6; #104 ), references = 1, size of lhs = 6:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V0,V3,V2), P_meet-{F}(V4,V0,V2) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #138: exists( #10, #8 ), references = 10, size of lhs = 6:
% 22.54/22.75 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V0,V4,V5), P_join-{F}(V2,V5,V6), P_meet-{F}(V3,V4,V7), P_join-{F}(V2,V7,V8) | P_meet-{T}(V0,V8,V6)
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #145: exists( #11, #141 ), references = 2, size of lhs = 12:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V1,V3,V4), P_meet-{F}(V0,V4,V5), P_meet-{F}(V6,V1,V2), P_meet-{F}(V0,V7,V5), P_join-{F}(V0,V7,V8), P_meet-{F}(V8,V9,V2), P_meet-{F}(V0,V9,V10), P_join-{F}(V5,V10,V5) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #146: exists( #11, #142 ), references = 6, size of lhs = 13:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V1,V3,V4), P_meet-{F}(V0,V4,V5), P_join-{F}(V0,V1,V6), P_meet-{F}(V2,V6,V7), P_meet-{F}(V0,V8,V5), P_join-{F}(V0,V8,V9), P_meet-{F}(V9,V10,V7), P_meet-{F}(V0,V10,V11), P_join-{F}(V5,V11,V5) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #159: mergings( V4 == V7, V3 == V9; #156 ), references = 1, size of lhs = 9:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V1,V3), P_meet-{F}(V0,V2,V4), P_join-{F}(V3,V4,V3), P_join-{F}(V1,V4,V5), P_meet-{F}(V0,V5,V3), P_meet-{F}(V6,V1,V2) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #162: mergings( V4 == V10, V5 == V9; #155 ), references = 1, size of lhs = 10:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V3,V1,V2), P_meet-{F}(V0,V2,V4), P_join-{F}(V1,V4,V5), P_meet-{F}(V0,V5,V6), P_join-{F}(V6,V4,V6), P_meet-{F}(V0,V7,V6), P_meet-{F}(V8,V7,V2) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #171: mergings( V4 == V5, V3 == V7; #167 ), references = 1, size of lhs = 8:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V1,V3,V1), P_meet-{F}(V4,V1,V2), P_meet-{F}(V0,V5,V3), P_meet-{F}(V1,V6,V5) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #174: mergings( V4 == V8, V5 == V9; #168 ), references = 1, size of lhs = 9:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V3,V1,V2), P_meet-{F}(V0,V2,V4), P_join-{F}(V1,V4,V5), P_meet-{F}(V6,V5,V2), P_meet-{F}(V0,V7,V4), P_meet-{F}(V5,V8,V7) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #185: mergings( V5 == V9; #183 ), references = 5, size of lhs = 10:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V0,V1,V3), P_join-{F}(V0,V4,V3), P_meet-{F}(V0,V4,V5), P_meet-{F}(V0,V2,V6), P_join-{F}(V5,V6,V5), P_join-{F}(V1,V6,V7), P_meet-{F}(V0,V7,V5) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #188: mergings( V4 == V7; #186 ), references = 1, size of lhs = 8:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V1,V3), P_meet-{F}(V0,V2,V4), P_join-{F}(V3,V4,V3), P_join-{F}(V1,V4,V5), P_meet-{F}(V0,V5,V3) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #231: exists( #11, #225 ), references = 2, size of lhs = 13:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V0,V1,V4), P_meet-{F}(V2,V4,V5), P_meet-{F}(V6,V0,V3), P_join-{F}(V3,V5,V7), P_meet-{F}(V0,V7,V3), P_meet-{F}(V6,V8,V3), P_join-{F}(V6,V8,V9), P_meet-{F}(V6,V10,V1), P_meet-{F}(V9,V10,V1) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #232: exists( #11, #226 ), references = 1, size of lhs = 13:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V0,V1,V3), P_join-{F}(V0,V4,V3), P_meet-{F}(V0,V4,V5), P_meet-{F}(V0,V2,V5), P_join-{F}(V5,V5,V5), P_meet-{F}(V6,V0,V5), P_meet-{F}(V6,V7,V5), P_join-{F}(V6,V7,V8), P_meet-{F}(V6,V9,V1), P_meet-{F}(V8,V9,V1) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #233: exists( #11, #227 ), references = 1, size of lhs = 16:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V0,V1,V4), P_meet-{F}(V2,V4,V5), P_meet-{F}(V6,V0,V3), P_meet-{F}(V0,V7,V3), P_join-{F}(V0,V7,V8), P_meet-{F}(V8,V9,V5), P_meet-{F}(V0,V9,V10), P_join-{F}(V3,V10,V3), P_meet-{F}(V6,V11,V3), P_join-{F}(V6,V11,V12), P_meet-{F}(V6,V13,V1), P_meet-{F}(V12,V13,V1) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #246: exists( #10, #242 ), references = 1, size of lhs = 14:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V0,V1,V4), P_meet-{F}(V5,V0,V3), P_meet-{F}(V5,V6,V3), P_join-{F}(V5,V6,V7), P_meet-{F}(V5,V8,V1), P_meet-{F}(V7,V8,V1), P_meet-{F}(V4,V0,V9), P_meet-{F}(V2,V9,V3), P_meet-{F}(V2,V10,V3), P_meet-{F}(V4,V11,V10) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #253: mergings( V9 == V11; #251 ), references = 2, size of lhs = 12:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V2,V0,V3), P_meet-{F}(V4,V0,V3), P_meet-{F}(V4,V5,V3), P_join-{F}(V4,V5,V6), P_meet-{F}(V4,V7,V1), P_meet-{F}(V6,V7,V1), P_meet-{F}(V2,V8,V3), P_meet-{F}(V9,V0,V8) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #265: exists( #11, #259 ), references = 1, size of lhs = 13:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V0,V1,V4), P_meet-{F}(V2,V4,V5), P_meet-{F}(V0,V6,V3), P_join-{F}(V0,V6,V7), P_meet-{F}(V7,V8,V1), P_meet-{F}(V0,V8,V9), P_join-{F}(V3,V9,V10), P_join-{F}(V10,V5,V11), P_meet-{F}(V0,V11,V10) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #266: exists( #11, #260 ), references = 2, size of lhs = 13:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V0,V1,V3), P_join-{F}(V0,V4,V3), P_meet-{F}(V0,V4,V5), P_meet-{F}(V0,V2,V6), P_join-{F}(V5,V6,V5), P_meet-{F}(V0,V7,V6), P_join-{F}(V0,V7,V8), P_meet-{F}(V8,V9,V1), P_meet-{F}(V0,V9,V10), P_join-{F}(V6,V10,V5) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #267: exists( #11, #261 ), references = 1, size of lhs = 16:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V0,V1,V4), P_meet-{F}(V2,V4,V5), P_meet-{F}(V0,V6,V3), P_join-{F}(V0,V6,V7), P_meet-{F}(V7,V8,V1), P_meet-{F}(V0,V8,V9), P_join-{F}(V3,V9,V10), P_meet-{F}(V0,V11,V10), P_join-{F}(V0,V11,V12), P_meet-{F}(V12,V13,V5), P_meet-{F}(V0,V13,V14), P_join-{F}(V10,V14,V10) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #290: exists( #11, #286 ), references = 1, size of lhs = 12:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V2,V0,V3), P_meet-{F}(V0,V4,V3), P_join-{F}(V0,V4,V5), P_meet-{F}(V5,V6,V1), P_meet-{F}(V0,V6,V7), P_join-{F}(V3,V7,V3), P_meet-{F}(V2,V8,V3), P_meet-{F}(V9,V0,V8) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #297: exists( #11, #295 ), references = 1, size of lhs = 7:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V0,V1,V4), P_meet-{F}(V2,V4,V5), P_meet-{F}(V0,V3,V5) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #307: exists( #11, #7 ), references = 7, size of lhs = 3:
% 22.54/22.75 P_join-{F}(V0,V1,V2), P_join-{F}(V2,V3,V4), P_join-{F}(V1,V3,V5) | P_join-{T}(V0,V5,V4)
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #320: exists( #11, #316 ), references = 1, size of lhs = 13:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V0,V2,V4), P_join-{F}(V1,V4,V5), P_join-{F}(V0,V5,V3), P_join-{F}(V4,V6,V6), P_meet-{F}(V0,V7,V6), P_join-{F}(V0,V7,V8), P_join-{F}(V6,V9,V5), P_meet-{F}(V8,V10,V9), P_meet-{F}(V0,V10,V11) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #321: exists( #11, #317 ), references = 1, size of lhs = 16:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V0,V2,V4), P_join-{F}(V4,V4,V4), P_meet-{F}(V0,V5,V4), P_join-{F}(V0,V5,V6), P_meet-{F}(V6,V7,V1), P_meet-{F}(V0,V7,V8), P_meet-{F}(V0,V9,V4), P_join-{F}(V0,V9,V10), P_meet-{F}(V0,V11,V8), P_meet-{F}(V10,V11,V12), P_join-{F}(V4,V12,V13), P_join-{F}(V0,V13,V3) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #328: exists( #11, #324 ), references = 1, size of lhs = 12:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V0,V2,V4), P_join-{F}(V4,V4,V4), P_meet-{F}(V0,V5,V4), P_join-{F}(V0,V5,V6), P_join-{F}(V0,V4,V7), P_join-{F}(V7,V1,V3), P_meet-{F}(V6,V8,V1), P_meet-{F}(V0,V8,V9) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #329: exists( #11, #325 ), references = 1, size of lhs = 16:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V0,V2,V4), P_join-{F}(V4,V4,V4), P_meet-{F}(V0,V5,V4), P_join-{F}(V0,V5,V6), P_meet-{F}(V6,V7,V1), P_meet-{F}(V0,V7,V8), P_meet-{F}(V0,V9,V4), P_join-{F}(V0,V9,V10), P_meet-{F}(V0,V11,V8), P_meet-{F}(V10,V11,V12), P_join-{F}(V0,V4,V13), P_join-{F}(V13,V12,V3) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #332: exists( #11, #326 ), references = 1, size of lhs = 10:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V3,V3,V3), P_join-{F}(V0,V3,V0), P_meet-{F}(V0,V4,V3), P_join-{F}(V0,V4,V5), P_meet-{F}(V5,V6,V1), P_meet-{F}(V0,V6,V7) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #333: exists( #11, #327 ), references = 1, size of lhs = 14:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V3,V3,V3), P_join-{F}(V0,V3,V0), P_meet-{F}(V0,V4,V3), P_join-{F}(V0,V4,V5), P_meet-{F}(V5,V6,V1), P_meet-{F}(V0,V6,V7), P_meet-{F}(V0,V8,V3), P_join-{F}(V0,V8,V9), P_meet-{F}(V0,V10,V7), P_meet-{F}(V9,V10,V1) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #336: exists( #10, #330 ), references = 1, size of lhs = 9:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V3,V3,V3), P_join-{F}(V0,V3,V0), P_meet-{F}(V0,V4,V3), P_join-{F}(V0,V4,V5), P_meet-{F}(V5,V6,V1) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #337: exists( #10, #331 ), references = 1, size of lhs = 12:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V3,V3,V3), P_join-{F}(V0,V3,V0), P_meet-{F}(V0,V4,V3), P_join-{F}(V0,V4,V5), P_meet-{F}(V5,V6,V1), P_meet-{F}(V0,V7,V3), P_join-{F}(V0,V7,V8), P_meet-{F}(V8,V6,V1) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #361: exists( #10, #357 ), references = 1, size of lhs = 9:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V0,V2,V4), P_join-{F}(V1,V4,V5), P_join-{F}(V0,V5,V3), P_meet-{F}(V5,V6,V4), P_meet-{F}(V0,V7,V6) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #362: exists( #10, #358 ), references = 1, size of lhs = 12:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V1,V3,V4), P_join-{F}(V0,V1,V5), P_meet-{F}(V2,V5,V6), P_join-{F}(V0,V4,V7), P_meet-{F}(V7,V8,V6), P_meet-{F}(V0,V8,V9), P_meet-{F}(V4,V10,V9), P_meet-{F}(V0,V11,V10) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #373: exists( #11, #369 ), references = 1, size of lhs = 8:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V0,V2,V4), P_meet-{F}(V0,V5,V4), P_join-{F}(V0,V4,V6), P_join-{F}(V6,V1,V3) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #374: exists( #11, #370 ), references = 1, size of lhs = 11:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V0,V1,V4), P_meet-{F}(V2,V4,V5), P_meet-{F}(V0,V6,V3), P_join-{F}(V0,V3,V7), P_join-{F}(V7,V1,V8), P_meet-{F}(V8,V6,V5), P_meet-{F}(V0,V9,V3) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #376: exists( #11, #371 ), references = 1, size of lhs = 6:
% 22.54/22.75 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V0,V3,V0), P_meet-{F}(V0,V4,V3) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #382: exists( #10, #380 ), references = 1, size of lhs = 4:
% 22.54/22.75 P_a-{F}(V0), P_meet-{F}(V0,V0,V0), P_b-{F}(V1), P_c-{F}(V2) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #384: exists( #14, #381 ), references = 1, size of lhs = 3:
% 22.54/22.75 P_a-{F}(V0), P_meet-{F}(V0,V0,V0), P_b-{F}(V1) | FALSE
% 22.54/22.75 (used 0 times, uses = {})
% 22.54/22.75
% 22.54/22.75 #386: exists( #13, #383 ), references = 1, size of lhs = 2:
% 22.54/22.76 P_a-{F}(V0), P_meet-{F}(V0,V0,V0) | FALSE
% 22.54/22.76 (used 0 times, uses = {})
% 22.54/22.76
% 22.54/22.76 #389: exists( #12, #387 ), references = 1, size of lhs = 0:
% 22.54/22.76 FALSE | FALSE
% 22.54/22.76 (used 0 times, uses = {})
% 22.54/22.76
% 22.54/22.76 number of learnt formulas = 52
% 22.54/22.76
% 22.54/22.76
% 22.54/22.76 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.54/22.76
% 22.54/22.76 randbase = 1
%------------------------------------------------------------------------------