TSTP Solution File: LAT042-1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT042-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n014.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 84.13s 84.34s
% Output : Refutation 84.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT042-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n014.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 19:58:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 84.13/84.34 GeoParameters:
% 84.13/84.34
% 84.13/84.34 tptp_input = 1
% 84.13/84.34 tptp_output = 0
% 84.13/84.34 nonempty = 1
% 84.13/84.34 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 84.13/84.34 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 84.13/84.34
% 84.13/84.34
% 84.13/84.34 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 84.13/84.34 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 84.13/84.34
% 84.13/84.34 RuleSystem INPUT:
% 84.13/84.34
% 84.13/84.34 Initial Rules:
% 84.13/84.34 #0: input, references = 4, size of lhs = 2:
% 84.13/84.34 P_meet-{F}(V0,V0,V1), V1 == V0 | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #1: input, references = 4, size of lhs = 2:
% 84.13/84.34 P_join-{F}(V0,V0,V1), V1 == V0 | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #2: input, references = 5, size of lhs = 3:
% 84.13/84.34 P_join-{F}(V0,V1,V2), P_meet-{F}(V0,V2,V3), V3 == V0 | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #3: input, references = 4, size of lhs = 3:
% 84.13/84.34 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V2,V3), V3 == V0 | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #4: input, references = 4, size of lhs = 3:
% 84.13/84.34 P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V0,V3), V2 == V3 | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #5: input, references = 4, size of lhs = 3:
% 84.13/84.34 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #6: input, references = 4, size of lhs = 5:
% 84.13/84.34 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
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #7: input, references = 5, size of lhs = 5:
% 84.13/84.34 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
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #8: input, references = 6, size of lhs = 6:
% 84.13/84.34 P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V3,V4), P_meet-{F}(V0,V1,V5), P_meet-{F}(V0,V2,V6), P_join-{F}(V5,V6,V7), V4 == V7 | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #9: input, references = 5, size of lhs = 4:
% 84.13/84.34 P_n1-{F}(V0), P_complement-{F}(V1,V2), P_join-{F}(V2,V1,V3), V3 == V0 | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #10: input, references = 4, size of lhs = 5:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V2,V3), P_meet-{F}(V3,V2,V4), V4 == V1 | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #11: input, references = 4, size of lhs = 5:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V2,V3), P_complement-{F}(V3,V4), V4 == V2 | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #12: input, references = 17, size of lhs = 10:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_join-{F}(V2,V4,V5), P_meet-{F}(V3,V5,V6), P_join-{F}(V2,V6,V9), P_join-{F}(V2,V3,V8), P_meet-{F}(V8,V5,V9) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #13: input, references = 15, size of lhs = 2:
% 84.13/84.34 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #14: input, references = 19, size of lhs = 2:
% 84.13/84.34 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #15: input, references = 21, size of lhs = 1:
% 84.13/84.34 #-{F} V0 | EXISTS V1: P_complement-{T}(V0,V1)
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #16: input, references = 4, size of lhs = 0:
% 84.13/84.34 FALSE | EXISTS V0: P_n1-{T}(V0)
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #17: input, references = 4, size of lhs = 0:
% 84.13/84.34 FALSE | EXISTS V0: P_n0-{T}(V0)
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #18: input, references = 4, size of lhs = 0:
% 84.13/84.34 FALSE | EXISTS V0: P_a-{T}(V0)
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #19: input, references = 6, size of lhs = 0:
% 84.13/84.34 FALSE | EXISTS V0: P_b-{T}(V0)
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #20: input, references = 8, size of lhs = 0:
% 84.13/84.34 FALSE | EXISTS V0: P_c-{T}(V0)
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 number of initial rules = 21
% 84.13/84.34
% 84.13/84.34 Simplifiers:
% 84.13/84.34 #21: unsound, references = 3, size of lhs = 3:
% 84.13/84.34 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #22: unsound, references = 3, size of lhs = 3:
% 84.13/84.34 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #23: unsound, references = 3, size of lhs = 3:
% 84.13/84.34 P_complement-{F}(V0,V1), P_complement-{F}(V0,V3), V1 == V3 | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #24: unsound, references = 3, size of lhs = 3:
% 84.13/84.34 P_n1-{F}(V0), P_n1-{F}(V1), V0 == V1 | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #25: unsound, references = 3, size of lhs = 3:
% 84.13/84.34 P_n0-{F}(V0), P_n0-{F}(V1), V0 == V1 | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #26: unsound, references = 3, size of lhs = 3:
% 84.13/84.34 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #27: unsound, references = 3, size of lhs = 3:
% 84.13/84.34 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #28: unsound, references = 3, size of lhs = 3:
% 84.13/84.34 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 number of simplifiers = 8
% 84.13/84.34
% 84.13/84.34 Learnt:
% 84.13/84.34 #30: exists( #13, #10 ), references = 13, size of lhs = 3:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V2,V3) | P_meet-{T}(V3,V2,V1)
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #33: exists( #13, #0 ), references = 3, size of lhs = 1:
% 84.13/84.34 #-{F} V0 | P_meet-{T}(V0,V0,V0)
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #35: exists( #15, #11 ), references = 5, size of lhs = 3:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V2,V3) | P_complement-{T}(V3,V2)
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #38: exists( #14, #1 ), references = 1, size of lhs = 1:
% 84.13/84.34 #-{F} V0 | P_join-{T}(V0,V0,V0)
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #39: exists( #14, #3 ), references = 20, size of lhs = 1:
% 84.13/84.34 P_meet-{F}(V0,V1,V2) | P_join-{T}(V0,V2,V0)
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #44: exists( #13, #6 ), references = 6, size of lhs = 3:
% 84.13/84.34 P_meet-{F}(V0,V1,V2), P_meet-{F}(V2,V3,V4), P_meet-{F}(V1,V3,V5) | P_meet-{T}(V0,V5,V4)
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #46: exists( #14, #5 ), references = 30, size of lhs = 1:
% 84.13/84.34 P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #56: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #51 ), references = 1, size of lhs = 6:
% 84.13/84.34 P_a-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1), P_b-{F}(V2), P_c-{F}(V2), P_meet-{F}(V2,V2,V2) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #66: exists( #13, #2 ), references = 16, size of lhs = 1:
% 84.13/84.34 P_join-{F}(V0,V1,V2) | P_meet-{T}(V0,V2,V0)
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #67: exists( #13, #4 ), references = 37, size of lhs = 1:
% 84.13/84.34 P_meet-{F}(V0,V1,V2) | P_meet-{T}(V1,V0,V2)
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #79: mergings( V2 == V4, V3 == V5; #76 ), references = 1, size of lhs = 8:
% 84.13/84.34 P_a-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_meet-{F}(V2,V3,V3), P_join-{F}(V0,V2,V4), P_meet-{F}(V4,V3,V3) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #93: mergings( V2 == V4, V3 == V5; #90 ), references = 1, size of lhs = 11:
% 84.13/84.34 P_a-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_meet-{F}(V2,V3,V4), P_join-{F}(V0,V2,V5), P_meet-{F}(V5,V3,V4), P_meet-{F}(V6,V3,V3), P_meet-{F}(V7,V6,V4), P_meet-{F}(V8,V7,V0) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #97: mergings( V3 == V5, V4 == V6; #94 ), references = 1, size of lhs = 8:
% 84.13/84.34 P_a-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1), P_b-{F}(V2), P_join-{F}(V0,V2,V2), P_c-{F}(V3), P_meet-{F}(V3,V3,V3), P_meet-{F}(V4,V2,V0) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #110: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V8, V4 == V7, V7 == V9; #103 ), references = 1, size of lhs = 6:
% 84.13/84.34 P_a-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_meet-{F}(V3,V3,V3) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #119: mergings( V1 == V2, V2 == V4, V4 == V5, V5 == V7, V3 == V6, V6 == V8; #112 ), references = 1, size of lhs = 4:
% 84.13/84.34 P_a-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1), P_b-{F}(V2) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #127: mergings( V1 == V2, V2 == V4, V4 == V5, V5 == V7, V3 == V6, V6 == V8; #120 ), references = 1, size of lhs = 3:
% 84.13/84.34 P_a-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #139: mergings( V2 == V3; #137 ), references = 1, size of lhs = 2:
% 84.13/84.34 P_n0-{F}(V0), P_n1-{F}(V1) | P_complement-{T}(V0,V1)
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #146: mergings( V2 == V4, V3 == V5; #143 ), references = 2, size of lhs = 9:
% 84.13/84.34 P_c-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_meet-{F}(V3,V2,V4), P_join-{F}(V2,V4,V5), P_join-{F}(V2,V3,V6), P_meet-{F}(V6,V2,V5) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #148: exists( #14, #9 ), references = 8, size of lhs = 2:
% 84.13/84.34 P_n1-{F}(V0), P_complement-{F}(V1,V2) | P_join-{T}(V2,V1,V0)
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #171: mergings( V2 == V3, V3 == V4, V4 == V5; #165 ), references = 1, size of lhs = 4:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V0), P_meet-{F}(V1,V1,V1), V0 == V1 | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #175: mergings( V2 == V3, V3 == V4, V4 == V5; #166 ), references = 1, size of lhs = 4:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V0), P_join-{F}(V1,V1,V1), V0 == V1 | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #183: mergings( V2 == V3; #181 ), references = 1, size of lhs = 9:
% 84.13/84.34 P_a-{F}(V0), P_n1-{F}(V0), P_n0-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_meet-{F}(V2,V0,V4), P_join-{F}(V0,V4,V5), P_join-{F}(V0,V2,V6), P_meet-{F}(V6,V0,V5) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #186: mergings( V1 == V2; #184 ), references = 2, size of lhs = 8:
% 84.13/84.34 P_a-{F}(V0), P_n1-{F}(V0), P_n0-{F}(V1), P_b-{F}(V2), P_meet-{F}(V2,V0,V3), P_join-{F}(V0,V3,V4), P_join-{F}(V0,V2,V5), P_meet-{F}(V5,V0,V4) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #205: exists( #15, #199 ), references = 1, size of lhs = 5:
% 84.13/84.34 P_a-{F}(V0), P_n1-{F}(V0), P_meet-{F}(V0,V0,V0), P_n0-{F}(V1), P_b-{F}(V2) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #207: exists( #19, #202 ), references = 1, size of lhs = 4:
% 84.13/84.34 P_a-{F}(V0), P_n1-{F}(V0), P_meet-{F}(V0,V0,V0), P_n0-{F}(V1) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #216: mergings( V2 == V4, V3 == V5; #213 ), references = 3, size of lhs = 8:
% 84.13/84.34 P_b-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1), P_a-{F}(V2), P_c-{F}(V3), P_join-{F}(V2,V3,V4), P_meet-{F}(V2,V4,V2), P_meet-{F}(V4,V2,V2) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #223: mergings( V2 == V5, V3 == V4; #220 ), references = 1, size of lhs = 6:
% 84.13/84.34 P_c-{F}(V0), P_b-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1), P_a-{F}(V2), P_meet-{F}(V2,V2,V2) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #233: exists( #14, #231 ), references = 1, size of lhs = 5:
% 84.13/84.34 P_b-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1), P_a-{F}(V2), P_c-{F}(V3) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #235: exists( #20, #232 ), references = 1, size of lhs = 4:
% 84.13/84.34 P_b-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1), P_a-{F}(V2) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #244: mergings( V2 == V4; #242 ), references = 1, size of lhs = 6:
% 84.13/84.34 P_b-{F}(V0), P_n1-{F}(V0), P_c-{F}(V1), P_n0-{F}(V1), P_a-{F}(V2), P_join-{F}(V2,V2,V2) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #253: mergings( V2 == V3; #251 ), references = 1, size of lhs = 6:
% 84.13/84.34 P_b-{F}(V0), P_c-{F}(V0), P_meet-{F}(V0,V0,V0), P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #262: exists( #14, #8 ), references = 9, size of lhs = 4:
% 84.13/84.34 P_join-{F}(V0,V1,V2), P_meet-{F}(V3,V2,V4), P_meet-{F}(V3,V0,V5), P_meet-{F}(V3,V1,V6) | P_join-{T}(V5,V6,V4)
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #265: exists( #14, #7 ), references = 3, size of lhs = 3:
% 84.13/84.34 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V3,V4), P_join-{F}(V0,V4,V5) | P_join-{T}(V2,V3,V5)
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #274: exists( #14, #272 ), references = 1, size of lhs = 8:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_join-{F}(V2,V3,V3), P_c-{F}(V4), P_join-{F}(V2,V5,V3), P_join-{F}(V4,V6,V5) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #279: mergings( V2 == V3; #277 ), references = 1, size of lhs = 7:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_join-{F}(V2,V3,V3), P_join-{F}(V2,V0,V3), P_c-{F}(V4) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #288: mergings( V2 == V3; #286 ), references = 1, size of lhs = 5:
% 84.13/84.34 P_b-{F}(V0), P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_c-{F}(V3) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #291: mergings( V1 == V2; #289 ), references = 1, size of lhs = 4:
% 84.13/84.34 P_b-{F}(V0), P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #310: exists( #14, #308 ), references = 2, size of lhs = 8:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_join-{F}(V2,V4,V2), P_meet-{F}(V3,V2,V5), P_join-{F}(V2,V5,V2) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #315: exists( #13, #313 ), references = 2, size of lhs = 6:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_join-{F}(V2,V4,V2) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #328: exists( #14, #326 ), references = 1, size of lhs = 5:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V3) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #345: mergings( V2 == V4, V3 == V5; #342 ), references = 1, size of lhs = 5:
% 84.13/84.34 P_c-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #351: exists( #14, #349 ), references = 1, size of lhs = 9:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_join-{F}(V2,V4,V5), P_meet-{F}(V3,V5,V3), P_join-{F}(V2,V6,V5), P_join-{F}(V3,V7,V6) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #357: mergings( V2 == V3; #355 ), references = 1, size of lhs = 7:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_join-{F}(V2,V0,V0), P_b-{F}(V3), P_c-{F}(V4), P_join-{F}(V2,V4,V0) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #363: exists( #13, #8 ), references = 9, size of lhs = 4:
% 84.13/84.34 P_join-{F}(V0,V1,V2), P_meet-{F}(V3,V0,V4), P_meet-{F}(V3,V1,V5), P_join-{F}(V4,V5,V6) | P_meet-{T}(V3,V2,V6)
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #367: exists( #14, #365 ), references = 1, size of lhs = 10:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_join-{F}(V2,V3,V3), P_c-{F}(V4), P_meet-{F}(V3,V4,V5), P_meet-{F}(V3,V2,V6), P_join-{F}(V5,V6,V7), P_join-{F}(V2,V7,V7) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #381: exists( #13, #379 ), references = 1, size of lhs = 5:
% 84.13/84.34 P_join-{F}(V0,V1,V0), P_meet-{F}(V2,V1,V3), P_meet-{F}(V0,V4,V3), P_join-{F}(V2,V4,V5), P_meet-{F}(V0,V5,V6) | P_meet-{T}(V0,V2,V6)
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #386: exists( #14, #384 ), references = 3, size of lhs = 11:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_join-{F}(V2,V4,V5), P_meet-{F}(V3,V5,V6), P_join-{F}(V2,V6,V7), P_meet-{F}(V5,V3,V8), P_meet-{F}(V5,V2,V9), P_join-{F}(V8,V9,V7) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #405: exists( #14, #403 ), references = 2, size of lhs = 10:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_meet-{F}(V3,V2,V5), P_meet-{F}(V3,V4,V6), P_join-{F}(V5,V6,V7), P_join-{F}(V2,V7,V8), P_join-{F}(V7,V2,V8) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #411: exists( #13, #409 ), references = 1, size of lhs = 8:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_meet-{F}(V3,V4,V5), P_meet-{F}(V3,V6,V5), P_join-{F}(V2,V6,V2) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #432: exists( #13, #427 ), references = 1, size of lhs = 11:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_meet-{F}(V3,V2,V5), P_meet-{F}(V3,V4,V6), P_join-{F}(V5,V6,V7), P_meet-{F}(V8,V9,V7), P_meet-{F}(V8,V10,V2), P_join-{F}(V9,V10,V11) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #433: exists( #13, #426 ), references = 1, size of lhs = 11:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_join-{F}(V2,V4,V5), P_meet-{F}(V3,V5,V6), P_join-{F}(V2,V3,V7), P_meet-{F}(V7,V8,V6), P_meet-{F}(V7,V9,V2), P_join-{F}(V8,V9,V5) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #434: exists( #13, #428 ), references = 2, size of lhs = 12:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_join-{F}(V2,V4,V5), P_meet-{F}(V5,V2,V2), P_meet-{F}(V3,V5,V6), P_meet-{F}(V5,V3,V6), P_meet-{F}(V7,V8,V6), P_meet-{F}(V7,V9,V2), P_join-{F}(V8,V9,V10) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #456: exists( #13, #450 ), references = 1, size of lhs = 12:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_meet-{F}(V3,V2,V5), P_meet-{F}(V4,V6,V5), P_join-{F}(V6,V3,V7), P_meet-{F}(V7,V8,V2), P_join-{F}(V4,V8,V9), P_meet-{F}(V3,V10,V5), P_join-{F}(V4,V10,V4) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #457: exists( #13, #451 ), references = 1, size of lhs = 15:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_join-{F}(V2,V4,V5), P_join-{F}(V2,V3,V6), P_meet-{F}(V6,V7,V2), P_join-{F}(V8,V3,V6), P_join-{F}(V9,V7,V5), P_meet-{F}(V9,V8,V10), P_meet-{F}(V3,V11,V10), P_join-{F}(V11,V9,V5), P_meet-{F}(V3,V12,V10), P_join-{F}(V9,V12,V9) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #458: exists( #13, #452 ), references = 1, size of lhs = 17:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_join-{F}(V2,V4,V5), P_meet-{F}(V5,V2,V2), P_meet-{F}(V6,V3,V3), P_meet-{F}(V5,V6,V7), P_join-{F}(V8,V7,V5), P_meet-{F}(V3,V8,V9), P_meet-{F}(V3,V10,V9), P_join-{F}(V7,V10,V7), P_meet-{F}(V7,V11,V9), P_join-{F}(V11,V3,V12), P_meet-{F}(V12,V13,V2), P_join-{F}(V7,V13,V14) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #469: exists( #14, #463 ), references = 1, size of lhs = 11:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_meet-{F}(V3,V2,V5), P_meet-{F}(V4,V6,V5), P_join-{F}(V6,V3,V7), P_meet-{F}(V7,V8,V2), P_meet-{F}(V3,V9,V5), P_join-{F}(V4,V9,V4) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #470: exists( #14, #464 ), references = 1, size of lhs = 12:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_join-{F}(V2,V3,V5), P_meet-{F}(V5,V2,V2), P_join-{F}(V6,V3,V5), P_meet-{F}(V4,V6,V7), P_meet-{F}(V3,V2,V7), P_meet-{F}(V3,V8,V7), P_join-{F}(V4,V8,V4) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #471: exists( #14, #465 ), references = 1, size of lhs = 15:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_meet-{F}(V5,V3,V3), P_meet-{F}(V5,V2,V6), P_meet-{F}(V5,V4,V7), P_join-{F}(V6,V7,V4), P_meet-{F}(V3,V2,V8), P_meet-{F}(V3,V9,V8), P_join-{F}(V4,V9,V4), P_meet-{F}(V4,V10,V8), P_join-{F}(V10,V3,V11), P_meet-{F}(V11,V2,V2) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #479: exists( #13, #477 ), references = 2, size of lhs = 9:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_join-{F}(V2,V4,V5), P_meet-{F}(V5,V2,V2), P_meet-{F}(V5,V6,V2), P_join-{F}(V3,V6,V7) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #486: exists( #14, #484 ), references = 1, size of lhs = 6:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_join-{F}(V3,V2,V5) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #489: exists( #14, #487 ), references = 1, size of lhs = 5:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #491: exists( #20, #488 ), references = 1, size of lhs = 4:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #493: exists( #19, #490 ), references = 1, size of lhs = 3:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #495: exists( #18, #492 ), references = 1, size of lhs = 2:
% 84.13/84.34 P_n1-{F}(V0), P_n0-{F}(V1) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #497: exists( #17, #494 ), references = 1, size of lhs = 1:
% 84.13/84.34 P_n1-{F}(V0) | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 #499: exists( #16, #496 ), references = 1, size of lhs = 0:
% 84.13/84.34 FALSE | FALSE
% 84.13/84.34 (used 0 times, uses = {})
% 84.13/84.34
% 84.13/84.34 number of learnt formulas = 66
% 84.13/84.34
% 84.13/84.34
% 84.13/84.34 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 84.13/84.34
% 84.13/84.34 randbase = 1
%------------------------------------------------------------------------------