%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT227-1 : TPTP v8.1.0. Released v3.1.0.
% 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 06:08:04 EDT 2022
% Result : Unsatisfiable 69.98s 70.19s
% Output : Refutation 69.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT227-1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n008.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 19:50:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 69.98/70.19 GeoParameters:
% 69.98/70.19
% 69.98/70.19 tptp_input = 1
% 69.98/70.19 tptp_output = 0
% 69.98/70.19 nonempty = 1
% 69.98/70.19 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 69.98/70.19 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 69.98/70.19
% 69.98/70.19
% 69.98/70.19 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 69.98/70.19 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 69.98/70.19
% 69.98/70.19 RuleSystem INPUT:
% 69.98/70.19
% 69.98/70.19 Initial Rules:
% 69.98/70.19 #0: input, references = 4, size of lhs = 2:
% 69.98/70.19 P_meet-{F}(V0,V0,V1), V1 == V0 | FALSE
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #1: input, references = 4, size of lhs = 2:
% 69.98/70.19 P_join-{F}(V0,V0,V1), V1 == V0 | FALSE
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #2: input, references = 6, size of lhs = 3:
% 69.98/70.19 P_join-{F}(V0,V1,V2), P_meet-{F}(V0,V2,V3), V3 == V0 | FALSE
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #3: input, references = 4, size of lhs = 3:
% 69.98/70.19 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V2,V3), V3 == V0 | FALSE
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #4: input, references = 4, size of lhs = 3:
% 69.98/70.19 P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V0,V3), V2 == V3 | FALSE
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #5: input, references = 5, size of lhs = 3:
% 69.98/70.19 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #6: input, references = 4, size of lhs = 5:
% 69.98/70.19 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
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #7: input, references = 5, size of lhs = 5:
% 69.98/70.19 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
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #8: input, references = 4, size of lhs = 4:
% 69.98/70.19 P_one-{F}(V0), P_complement-{F}(V1,V2), P_join-{F}(V1,V2,V3), V3 == V0 | FALSE
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #9: input, references = 4, size of lhs = 5:
% 69.98/70.19 P_one-{F}(V0), P_zero-{F}(V1), P_complement-{F}(V2,V3), P_meet-{F}(V2,V3,V4), V4 == V1 | FALSE
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #10: input, references = 6, size of lhs = 6:
% 69.98/70.19 P_one-{F}(V0), P_zero-{F}(V1), P_meet-{F}(V2,V3,V1), P_join-{F}(V2,V3,V0), P_complement-{F}(V2,V6), V6 == V3 | FALSE
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #11: input, references = 6, size of lhs = 12:
% 69.98/70.19 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_meet-{F}(V2,V7,V8), P_join-{F}(V2,V3,V9), P_meet-{F}(V4,V9,V10), P_join-{F}(V6,V10,V11), P_join-{F}(V5,V11,V12), P_meet-{F}(V2,V12,V13), V8 == V13 | FALSE
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #12: input, references = 4, size of lhs = 6:
% 69.98/70.19 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
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #13: input, references = 7, size of lhs = 8:
% 69.98/70.19 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
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #14: input, references = 13, size of lhs = 2:
% 69.98/70.19 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #15: input, references = 9, size of lhs = 2:
% 69.98/70.19 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #16: input, references = 12, size of lhs = 1:
% 69.98/70.19 #-{F} V0 | EXISTS V1: P_complement-{T}(V0,V1)
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #17: input, references = 4, size of lhs = 0:
% 69.98/70.19 FALSE | EXISTS V0: P_one-{T}(V0)
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #18: input, references = 4, size of lhs = 0:
% 69.98/70.19 FALSE | EXISTS V0: P_zero-{T}(V0)
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #19: input, references = 4, size of lhs = 0:
% 69.98/70.19 FALSE | EXISTS V0: P_b-{T}(V0)
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #20: input, references = 6, size of lhs = 0:
% 69.98/70.19 FALSE | EXISTS V0: P_a-{T}(V0)
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 number of initial rules = 21
% 69.98/70.19
% 69.98/70.19 Simplifiers:
% 69.98/70.19 #21: unsound, references = 3, size of lhs = 3:
% 69.98/70.19 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #22: unsound, references = 3, size of lhs = 3:
% 69.98/70.19 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #23: unsound, references = 3, size of lhs = 3:
% 69.98/70.19 P_complement-{F}(V0,V1), P_complement-{F}(V0,V3), V1 == V3 | FALSE
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #24: unsound, references = 3, size of lhs = 3:
% 69.98/70.19 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #25: unsound, references = 3, size of lhs = 3:
% 69.98/70.19 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #26: unsound, references = 3, size of lhs = 3:
% 69.98/70.19 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #27: unsound, references = 3, size of lhs = 3:
% 69.98/70.19 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 number of simplifiers = 7
% 69.98/70.19
% 69.98/70.19 Learnt:
% 69.98/70.19 #29: exists( #14, #9 ), references = 5, size of lhs = 3:
% 69.98/70.19 P_one-{F}(V0), P_zero-{F}(V1), P_complement-{F}(V2,V3) | P_meet-{T}(V2,V3,V1)
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #32: exists( #14, #0 ), references = 4, size of lhs = 1:
% 69.98/70.19 #-{F} V0 | P_meet-{T}(V0,V0,V0)
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #35: exists( #15, #1 ), references = 4, size of lhs = 1:
% 69.98/70.19 #-{F} V0 | P_join-{T}(V0,V0,V0)
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #36: exists( #15, #3 ), references = 19, size of lhs = 1:
% 69.98/70.19 P_meet-{F}(V0,V1,V2) | P_join-{T}(V0,V2,V0)
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #40: exists( #14, #12 ), references = 3, size of lhs = 4:
% 69.98/70.19 P_one-{F}(V0), P_zero-{F}(V1), P_b-{F}(V2), P_a-{F}(V3) | P_meet-{T}(V2,V3,V3)
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #45: exists( #16, #43 ), references = 3, size of lhs = 4:
% 69.98/70.19 P_one-{F}(V0), P_zero-{F}(V1), P_join-{F}(V1,V2,V3), V3 == V2 | FALSE
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #51: mergings( V1 == V4, V2 == V3; #48 ), references = 1, size of lhs = 3:
% 69.98/70.19 P_b-{F}(V0), P_zero-{F}(V0), P_one-{F}(V1) | P_a-{T}(V0)
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #54: exists( #16, #52 ), references = 1, size of lhs = 5:
% 69.98/70.19 P_one-{F}(V0), P_zero-{F}(V1), P_b-{F}(V2), P_a-{F}(V2), P_meet-{F}(V2,V2,V3) | FALSE
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #59: exists( #15, #45 ), references = 8, size of lhs = 3:
% 69.98/70.19 P_one-{F}(V0), P_zero-{F}(V1), #-{F} V2 | P_join-{T}(V1,V2,V2)
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #60: exists( #15, #8 ), references = 7, size of lhs = 2:
% 69.98/70.19 P_one-{F}(V0), P_complement-{F}(V1,V2) | P_join-{T}(V1,V2,V0)
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #64: mergings( V2 == V3; #62 ), references = 2, size of lhs = 2:
% 69.98/70.19 P_one-{F}(V0), P_zero-{F}(V1) | P_complement-{T}(V1,V0)
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #69: mergings( V2 == V4, V3 == V5; #66 ), references = 2, size of lhs = 6:
% 69.98/70.19 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
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #72: exists( #14, #4 ), references = 23, size of lhs = 1:
% 69.98/70.19 P_meet-{F}(V0,V1,V2) | P_meet-{T}(V1,V0,V2)
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #73: exists( #14, #6 ), references = 20, size of lhs = 3:
% 69.98/70.19 P_meet-{F}(V0,V1,V2), P_meet-{F}(V2,V3,V4), P_meet-{F}(V1,V3,V5) | P_meet-{T}(V0,V5,V4)
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #75: exists( #16, #10 ), references = 2, size of lhs = 4:
% 69.98/70.19 P_one-{F}(V0), P_zero-{F}(V1), P_meet-{F}(V2,V3,V1), P_join-{F}(V2,V3,V0) | P_complement-{T}(V2,V3)
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #80: mergings( V1 == V3, V2 == V4; #77 ), references = 1, size of lhs = 4:
% 69.98/70.19 P_one-{F}(V0), P_zero-{F}(V1), P_b-{F}(V2), P_complement-{F}(V2,V1) | FALSE
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #83: exists( #14, #81 ), references = 11, size of lhs = 1:
% 69.98/70.19 P_join-{F}(V0,V1,V2) | P_meet-{T}(V2,V0,V0)
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #86: exists( #15, #5 ), references = 24, size of lhs = 1:
% 69.98/70.19 P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #87: exists( #15, #7 ), references = 11, size of lhs = 3:
% 69.98/70.19 P_join-{F}(V0,V1,V2), P_join-{F}(V2,V3,V4), P_join-{F}(V1,V3,V5) | P_join-{T}(V0,V5,V4)
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #94: mergings( V2 == V3; #92 ), references = 1, size of lhs = 6:
% 69.98/70.19 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
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #100: exists( #16, #96 ), references = 1, size of lhs = 3:
% 69.98/70.19 P_one-{F}(V0), P_meet-{F}(V1,V0,V2), V2 == V1 | FALSE
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #101: exists( #16, #97 ), references = 1, size of lhs = 4:
% 69.98/70.19 P_one-{F}(V0), P_join-{F}(V1,V2,V2), P_join-{F}(V1,V0,V3), V0 == V3 | FALSE
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #123: exists( #14, #121 ), references = 2, size of lhs = 16:
% 69.98/70.19 P_one-{F}(V0), P_zero-{F}(V1), P_meet-{F}(V0,V2,V2), P_complement-{F}(V3,V4), P_join-{F}(V3,V5,V0), P_meet-{F}(V3,V6,V7), P_meet-{F}(V6,V8,V2), P_meet-{F}(V8,V9,V10), P_meet-{F}(V11,V9,V5), P_meet-{F}(V12,V2,V11), P_meet-{F}(V7,V13,V14), P_meet-{F}(V13,V15,V15), P_meet-{F}(V16,V15,V10), P_meet-{F}(V14,V17,V18), P_meet-{F}(V18,V19,V1), P_meet-{F}(V17,V19,V10) | P_meet-{T}(V2,V9,V4)
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #136: exists( #14, #11 ), references = 3, size of lhs = 10:
% 69.98/70.19 P_one-{F}(V0), P_zero-{F}(V1), P_meet-{F}(V2,V3,V4), P_join-{F}(V2,V3,V5), P_meet-{F}(V2,V6,V7), P_join-{F}(V4,V7,V8), P_meet-{F}(V2,V8,V9), P_meet-{F}(V6,V5,V10), P_join-{F}(V7,V10,V11), P_join-{F}(V4,V11,V12) | P_meet-{T}(V2,V12,V9)
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #150: mergings( V12 == V15, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #144 ), references = 3, size of lhs = 25:
% 69.98/70.19 P_one-{F}(V0), P_zero-{F}(V1), P_complement-{F}(V2,V1), P_meet-{F}(V0,V3,V3), P_complement-{F}(V3,V4), P_join-{F}(V2,V5,V0), P_meet-{F}(V6,V3,V5), P_meet-{F}(V2,V7,V8), P_meet-{F}(V7,V9,V3), P_meet-{F}(V9,V10,V11), P_join-{F}(V9,V10,V12), P_join-{F}(V13,V11,V0), P_join-{F}(V3,V14,V13), P_meet-{F}(V14,V15,V5), P_meet-{F}(V9,V16,V17), P_join-{F}(V11,V17,V18), P_meet-{F}(V9,V18,V19), P_meet-{F}(V16,V12,V20), P_join-{F}(V17,V20,V14), P_meet-{F}(V8,V21,V22), P_meet-{F}(V21,V23,V23), P_meet-{F}(V24,V23,V19), P_meet-{F}(V22,V25,V26), P_meet-{F}(V26,V27,V1), P_meet-{F}(V25,V27,V19) | P_join-{T}(V14,V11,V4)
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #188: exists( #15, #186 ), references = 3, size of lhs = 11:
% 69.98/70.19 P_one-{F}(V0), P_zero-{F}(V1), P_join-{F}(V2,V3,V4), P_join-{F}(V4,V5,V6), P_meet-{F}(V6,V7,V3), P_join-{F}(V6,V7,V8), P_meet-{F}(V6,V9,V5), P_meet-{F}(V9,V8,V10), P_join-{F}(V5,V10,V11), P_join-{F}(V3,V11,V12), P_meet-{F}(V6,V12,V13) | P_join-{T}(V3,V5,V13)
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #265: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10, V12 == V10; #255 ), references = 1, size of lhs = 43:
% 69.98/70.19 P_one-{F}(V0), P_zero-{F}(V1), P_join-{F}(V1,V1,V1), P_complement-{F}(V2,V1), P_meet-{F}(V0,V3,V3), P_complement-{F}(V3,V4), P_join-{F}(V2,V5,V0), P_meet-{F}(V6,V3,V5), P_meet-{F}(V7,V1,V5), P_join-{F}(V3,V7,V8), P_meet-{F}(V7,V4,V9), V9 == V7, P_meet-{F}(V7,V10,V1), P_join-{F}(V7,V10,V8), P_join-{F}(V11,V8,V0), P_meet-{F}(V7,V12,V1), P_join-{F}(V12,V8,V13), P_meet-{F}(V12,V14,V11), P_meet-{F}(V14,V15,V15), P_meet-{F}(V15,V16,V12), P_meet-{F}(V16,V8,V17), P_join-{F}(V12,V18,V12), P_meet-{F}(V12,V19,V18), P_meet-{F}(V19,V13,V20), P_join-{F}(V18,V20,V21), P_join-{F}(V21,V22,V14), P_meet-{F}(V23,V8,V22), P_meet-{F}(V24,V12,V23), P_meet-{F}(V2,V25,V26), P_meet-{F}(V25,V27,V3), P_meet-{F}(V27,V28,V18), P_join-{F}(V27,V28,V29), P_meet-{F}(V27,V30,V31), P_join-{F}(V18,V31,V32), P_meet-{F}(V27,V32,V33), P_meet-{F}(V30,V29,V34), P_join-{F}(V31,V34,V7), P_meet-{F}(V26,V35,V36), P_meet-{F}(V35,V37,V37), P_meet-{F}(V38,V37,V33), P_meet-{F}(V36,V39,V40), P_meet-{F}(V40,V41,V1), P_meet-{F}(V39,V41,V33) | FALSE
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #275: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V12, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V14 == V13; #256 ), references = 1, size of lhs = 50:
% 69.98/70.19 P_one-{F}(V0), P_zero-{F}(V1), P_join-{F}(V1,V1,V1), P_complement-{F}(V2,V1), P_meet-{F}(V0,V3,V3), P_complement-{F}(V3,V4), P_join-{F}(V2,V5,V0), P_meet-{F}(V6,V3,V5), P_meet-{F}(V7,V1,V5), P_join-{F}(V3,V7,V8), P_meet-{F}(V7,V9,V1), P_join-{F}(V7,V9,V10), P_meet-{F}(V7,V11,V1), P_meet-{F}(V11,V10,V12), P_join-{F}(V13,V8,V0), P_meet-{F}(V2,V14,V15), P_meet-{F}(V14,V16,V3), P_meet-{F}(V16,V17,V18), P_join-{F}(V16,V17,V19), P_join-{F}(V20,V18,V20), P_meet-{F}(V20,V21,V18), P_join-{F}(V20,V8,V22), P_meet-{F}(V21,V22,V23), P_join-{F}(V18,V23,V24), P_meet-{F}(V20,V25,V13), P_meet-{F}(V25,V26,V26), P_meet-{F}(V26,V20,V20), P_join-{F}(V24,V27,V25), P_meet-{F}(V28,V8,V27), P_meet-{F}(V29,V20,V28), P_meet-{F}(V16,V30,V31), P_join-{F}(V18,V31,V32), P_meet-{F}(V16,V32,V33), P_meet-{F}(V30,V19,V34), P_join-{F}(V31,V34,V7), P_meet-{F}(V15,V35,V36), P_meet-{F}(V35,V37,V37), P_meet-{F}(V38,V37,V33), P_meet-{F}(V36,V39,V40), P_meet-{F}(V40,V41,V1), P_meet-{F}(V39,V41,V33), P_meet-{F}(V42,V43,V7), P_join-{F}(V42,V43,V44), P_meet-{F}(V42,V4,V45), P_meet-{F}(V42,V46,V47), P_join-{F}(V7,V47,V48), P_meet-{F}(V42,V48,V49), V49 == V45, P_meet-{F}(V46,V44,V50), P_join-{F}(V47,V50,V18) | FALSE
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #285: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10, V12 == V10; #276 ), references = 1, size of lhs = 41:
% 69.98/70.19 P_one-{F}(V0), P_zero-{F}(V1), P_join-{F}(V1,V1,V1), P_complement-{F}(V2,V1), P_meet-{F}(V0,V3,V3), P_complement-{F}(V3,V4), P_join-{F}(V2,V5,V0), P_meet-{F}(V6,V3,V5), P_meet-{F}(V7,V1,V5), P_join-{F}(V3,V7,V8), P_meet-{F}(V7,V9,V1), P_join-{F}(V7,V9,V8), P_join-{F}(V10,V8,V0), P_meet-{F}(V7,V11,V1), P_join-{F}(V11,V8,V12), P_meet-{F}(V11,V13,V10), P_meet-{F}(V13,V14,V14), P_meet-{F}(V14,V15,V11), P_meet-{F}(V15,V8,V16), P_join-{F}(V11,V17,V11), P_meet-{F}(V11,V18,V17), P_meet-{F}(V18,V12,V19), P_join-{F}(V17,V19,V20), P_join-{F}(V20,V21,V13), P_meet-{F}(V22,V8,V21), P_meet-{F}(V23,V11,V22), P_meet-{F}(V2,V24,V25), P_meet-{F}(V24,V26,V3), P_meet-{F}(V26,V27,V17), P_join-{F}(V26,V27,V28), P_meet-{F}(V26,V29,V30), P_join-{F}(V17,V30,V31), P_meet-{F}(V26,V31,V32), P_meet-{F}(V29,V28,V33), P_join-{F}(V30,V33,V7), P_meet-{F}(V25,V34,V35), P_meet-{F}(V34,V36,V36), P_meet-{F}(V37,V36,V32), P_meet-{F}(V35,V38,V39), P_meet-{F}(V39,V40,V1), P_meet-{F}(V38,V40,V32) | P_meet-{T}(V7,V4,V7)
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #295: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V12, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V14 == V13; #277 ), references = 1, size of lhs = 48:
% 69.98/70.19 P_one-{F}(V0), P_zero-{F}(V1), P_join-{F}(V1,V1,V1), P_complement-{F}(V2,V1), P_meet-{F}(V0,V3,V3), P_complement-{F}(V3,V4), P_join-{F}(V2,V5,V0), P_meet-{F}(V6,V3,V5), P_meet-{F}(V7,V1,V5), P_join-{F}(V3,V7,V8), P_meet-{F}(V7,V9,V1), P_join-{F}(V7,V9,V10), P_meet-{F}(V7,V11,V1), P_meet-{F}(V11,V10,V12), P_join-{F}(V13,V8,V0), P_meet-{F}(V2,V14,V15), P_meet-{F}(V14,V16,V3), P_meet-{F}(V16,V17,V18), P_join-{F}(V16,V17,V19), P_join-{F}(V20,V18,V20), P_meet-{F}(V20,V21,V18), P_join-{F}(V20,V8,V22), P_meet-{F}(V21,V22,V23), P_join-{F}(V18,V23,V24), P_meet-{F}(V20,V25,V13), P_meet-{F}(V25,V26,V26), P_meet-{F}(V26,V20,V20), P_join-{F}(V24,V27,V25), P_meet-{F}(V28,V8,V27), P_meet-{F}(V29,V20,V28), P_meet-{F}(V16,V30,V31), P_join-{F}(V18,V31,V32), P_meet-{F}(V16,V32,V33), P_meet-{F}(V30,V19,V34), P_join-{F}(V31,V34,V7), P_meet-{F}(V15,V35,V36), P_meet-{F}(V35,V37,V37), P_meet-{F}(V38,V37,V33), P_meet-{F}(V36,V39,V40), P_meet-{F}(V40,V41,V1), P_meet-{F}(V39,V41,V33), P_meet-{F}(V42,V43,V7), P_join-{F}(V42,V43,V44), P_meet-{F}(V42,V45,V46), P_join-{F}(V7,V46,V47), P_meet-{F}(V42,V47,V48), P_meet-{F}(V45,V44,V49), P_join-{F}(V46,V49,V18) | P_meet-{T}(V42,V4,V48)
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #323: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V15, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V16, V14 == V16, V20 == V28; #310 ), references = 1, size of lhs = 41:
% 69.98/70.19 P_one-{F}(V0), P_zero-{F}(V1), P_join-{F}(V1,V1,V1), P_complement-{F}(V2,V1), P_b-{F}(V3), P_a-{F}(V4), P_meet-{F}(V3,V4,V5), P_complement-{F}(V3,V6), P_join-{F}(V1,V6,V6), P_meet-{F}(V6,V1,V7), P_join-{F}(V2,V7,V0), P_meet-{F}(V6,V8,V1), P_join-{F}(V6,V8,V9), P_complement-{F}(V4,V10), P_meet-{F}(V0,V11,V11), P_complement-{F}(V11,V10), P_join-{F}(V11,V6,V9), P_meet-{F}(V12,V11,V7), P_join-{F}(V13,V9,V0), P_meet-{F}(V14,V14,V14), P_meet-{F}(V6,V14,V1), P_join-{F}(V14,V9,V15), P_meet-{F}(V16,V14,V11), P_meet-{F}(V2,V16,V17), P_meet-{F}(V14,V18,V1), P_meet-{F}(V14,V19,V13), P_meet-{F}(V19,V20,V20), P_meet-{F}(V20,V21,V14), P_meet-{F}(V21,V9,V22), P_meet-{F}(V23,V15,V23), P_join-{F}(V14,V23,V24), P_meet-{F}(V18,V24,V6), P_join-{F}(V23,V25,V19), P_meet-{F}(V26,V9,V25), P_meet-{F}(V27,V14,V26), P_meet-{F}(V28,V23,V23), P_meet-{F}(V29,V28,V28), P_meet-{F}(V30,V29,V29), P_meet-{F}(V17,V30,V31), P_meet-{F}(V31,V23,V32), P_meet-{F}(V32,V14,V1) | FALSE
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #344: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V15, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V16, V14 == V16, V1 == V23, V28 == V36; #330 ), references = 1, size of lhs = 37:
% 69.98/70.19 P_one-{F}(V0), P_zero-{F}(V1), P_join-{F}(V1,V1,V1), P_complement-{F}(V2,V1), P_b-{F}(V3), P_a-{F}(V4), P_meet-{F}(V3,V4,V5), P_complement-{F}(V3,V6), P_join-{F}(V1,V6,V6), P_meet-{F}(V6,V1,V7), P_join-{F}(V2,V7,V0), P_complement-{F}(V4,V8), P_meet-{F}(V9,V0,V9), P_meet-{F}(V10,V9,V9), P_meet-{F}(V11,V10,V10), P_meet-{F}(V12,V11,V11), P_join-{F}(V13,V6,V0), P_meet-{F}(V0,V14,V14), P_meet-{F}(V6,V14,V1), P_complement-{F}(V14,V8), P_meet-{F}(V15,V14,V7), P_join-{F}(V9,V14,V16), P_meet-{F}(V16,V17,V17), P_meet-{F}(V17,V0,V17), P_meet-{F}(V17,V17,V17), P_meet-{F}(V6,V17,V1), P_meet-{F}(V17,V16,V17), P_join-{F}(V17,V14,V13), P_meet-{F}(V18,V17,V14), P_meet-{F}(V2,V18,V19), P_meet-{F}(V17,V20,V1), P_join-{F}(V17,V9,V21), P_meet-{F}(V20,V21,V6), P_meet-{F}(V19,V12,V22), P_meet-{F}(V22,V9,V23), P_meet-{F}(V23,V17,V1), P_meet-{F}(V24,V17,V14) | FALSE
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #372: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V16, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V17, V15 == V17, V20 == V25, V16 == V21, V23 == V22, V0 == V30; #354 ), references = 1, size of lhs = 29:
% 69.98/70.19 P_one-{F}(V0), P_meet-{F}(V0,V0,V0), P_zero-{F}(V1), P_join-{F}(V1,V1,V1), P_complement-{F}(V2,V1), P_join-{F}(V2,V1,V0), P_b-{F}(V3), P_a-{F}(V4), P_meet-{F}(V0,V4,V4), P_meet-{F}(V4,V0,V4), P_meet-{F}(V3,V4,V5), P_complement-{F}(V3,V6), P_meet-{F}(V6,V1,V1), P_meet-{F}(V6,V4,V1), P_join-{F}(V1,V6,V6), P_meet-{F}(V2,V7,V4), P_join-{F}(V8,V6,V0), P_meet-{F}(V0,V9,V9), P_meet-{F}(V9,V9,V9), P_meet-{F}(V6,V9,V1), P_meet-{F}(V9,V0,V9), P_meet-{F}(V1,V9,V1), P_join-{F}(V9,V4,V8), P_meet-{F}(V7,V9,V4), P_meet-{F}(V9,V10,V1), P_join-{F}(V4,V11,V9), P_join-{F}(V0,V11,V12), P_meet-{F}(V10,V12,V6), P_meet-{F}(V13,V9,V4) | FALSE
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #400: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V7 == V9, V9 == V11, V11 == V13, V13 == V15; #387 ), references = 1, size of lhs = 18:
% 69.98/70.19 P_one-{F}(V0), P_meet-{F}(V0,V0,V0), P_complement-{F}(V0,V1), P_join-{F}(V1,V1,V1), P_join-{F}(V0,V1,V0), P_zero-{F}(V1), P_b-{F}(V2), P_meet-{F}(V2,V2,V2), P_meet-{F}(V1,V2,V1), P_a-{F}(V3), P_meet-{F}(V3,V2,V3), P_join-{F}(V2,V3,V2), P_join-{F}(V3,V2,V2), P_meet-{F}(V2,V3,V4), P_meet-{F}(V1,V5,V1), P_meet-{F}(V2,V5,V3), P_meet-{F}(V6,V2,V3), P_meet-{F}(V2,V7,V3) | FALSE
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #424: mergings( V1 == V2, V2 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V3 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17; #408 ), references = 1, size of lhs = 9:
% 69.98/70.19 P_one-{F}(V0), P_meet-{F}(V0,V0,V0), P_complement-{F}(V0,V1), P_join-{F}(V1,V1,V1), P_join-{F}(V0,V1,V0), P_zero-{F}(V1), P_b-{F}(V2), P_meet-{F}(V2,V2,V2), P_meet-{F}(V1,V2,V1) | FALSE
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #445: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V4 == V11, V11 == V13, V13 == V15, V15 == V17; #429 ), references = 2, size of lhs = 6:
% 69.98/70.19 P_one-{F}(V0), P_meet-{F}(V0,V0,V0), P_complement-{F}(V0,V1), P_join-{F}(V1,V1,V1), P_join-{F}(V0,V1,V0), P_zero-{F}(V1) | FALSE
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #459: mergings( V1 == V2; #457 ), references = 1, size of lhs = 2:
% 69.98/70.19 P_one-{F}(V0), P_meet-{F}(V0,V0,V0) | FALSE
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 #462: exists( #17, #460 ), references = 1, size of lhs = 0:
% 69.98/70.19 FALSE | FALSE
% 69.98/70.19 (used 0 times, uses = {})
% 69.98/70.19
% 69.98/70.19 number of learnt formulas = 38
% 69.98/70.19
% 69.98/70.19
% 69.98/70.19 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 69.98/70.19
% 69.98/70.19 randbase = 1
%------------------------------------------------------------------------------