TSTP Solution File: REL049-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : REL049-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.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 06:14:48 EDT 2022
% Result : Unsatisfiable 1.52s 1.69s
% Output : Refutation 1.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL049-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Jul 23 00:29:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.52/1.69 GeoParameters:
% 1.52/1.69
% 1.52/1.69 tptp_input = 1
% 1.52/1.69 tptp_output = 0
% 1.52/1.69 nonempty = 1
% 1.52/1.69 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.52/1.69 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.52/1.69
% 1.52/1.69
% 1.52/1.69 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.52/1.69 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.52/1.69
% 1.52/1.69 RuleSystem INPUT:
% 1.52/1.69
% 1.52/1.69 Initial Rules:
% 1.52/1.69 #0: input, references = 4, size of lhs = 3:
% 1.52/1.69 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #1: input, references = 6, size of lhs = 5:
% 1.52/1.69 P_join-{F}(V1,V2,V3), P_join-{F}(V0,V3,V4), P_join-{F}(V0,V1,V5), P_join-{F}(V5,V2,V6), V4 == V6 | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #2: input, references = 5, size of lhs = 8:
% 1.52/1.69 P_complement-{F}(V0,V2), P_complement-{F}(V1,V3), P_join-{F}(V2,V3,V4), P_complement-{F}(V4,V5), P_join-{F}(V2,V1,V6), P_complement-{F}(V6,V7), P_join-{F}(V5,V7,V8), V0 == V8 | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #3: input, references = 8, size of lhs = 6:
% 1.52/1.69 P_meet-{F}(V0,V1,V2), P_complement-{F}(V0,V3), P_complement-{F}(V1,V4), P_join-{F}(V3,V4,V5), P_complement-{F}(V5,V6), V2 == V6 | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #4: input, references = 4, size of lhs = 5:
% 1.52/1.69 P_composition-{F}(V1,V2,V3), P_composition-{F}(V0,V3,V4), P_composition-{F}(V0,V1,V5), P_composition-{F}(V5,V2,V6), V4 == V6 | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #5: input, references = 4, size of lhs = 3:
% 1.52/1.69 P_one-{F}(V0), P_composition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #6: input, references = 4, size of lhs = 7:
% 1.52/1.69 P_one-{F}(V0), P_join-{F}(V1,V2,V4), P_composition-{F}(V4,V3,V5), P_composition-{F}(V1,V3,V6), P_composition-{F}(V2,V3,V7), P_join-{F}(V6,V7,V8), V5 == V8 | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #7: input, references = 4, size of lhs = 4:
% 1.52/1.69 P_one-{F}(V0), P_converse-{F}(V1,V2), P_converse-{F}(V2,V3), V3 == V1 | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #8: input, references = 5, size of lhs = 7:
% 1.52/1.69 P_one-{F}(V0), P_join-{F}(V1,V2,V3), P_converse-{F}(V3,V4), P_converse-{F}(V1,V5), P_converse-{F}(V2,V6), P_join-{F}(V5,V6,V7), V4 == V7 | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #9: input, references = 6, size of lhs = 7:
% 1.52/1.69 P_one-{F}(V0), P_composition-{F}(V1,V2,V3), P_converse-{F}(V3,V4), P_converse-{F}(V2,V5), P_converse-{F}(V1,V6), P_composition-{F}(V5,V6,V7), V4 == V7 | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #10: input, references = 6, size of lhs = 8:
% 1.52/1.69 P_one-{F}(V0), P_converse-{F}(V1,V3), P_composition-{F}(V1,V2,V4), P_complement-{F}(V4,V5), P_composition-{F}(V3,V5,V6), P_complement-{F}(V2,V7), P_join-{F}(V6,V7,V8), V8 == V7 | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #11: input, references = 4, size of lhs = 5:
% 1.52/1.69 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V2,V3), P_join-{F}(V2,V3,V4), V1 == V4 | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #12: input, references = 4, size of lhs = 6:
% 1.52/1.69 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_complement-{F}(V3,V4), P_meet-{F}(V3,V4,V5), V2 == V5 | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #13: input, references = 4, size of lhs = 7:
% 1.52/1.69 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_join-{F}(V3,V4,V5), V5 == V4 | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #14: input, references = 4, size of lhs = 9:
% 1.52/1.69 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_join-{F}(V3,V4,V5), P_sk3-{F}(V6), P_join-{F}(V6,V4,V7), V7 == V4 | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #15: input, references = 7, size of lhs = 10:
% 1.52/1.69 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_join-{F}(V3,V4,V5), P_sk3-{F}(V6), P_join-{F}(V6,V4,V7), P_join-{F}(V3,V6,V8), P_join-{F}(V8,V4,V4) | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #16: input, references = 13, size of lhs = 2:
% 1.52/1.69 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #17: input, references = 10, size of lhs = 1:
% 1.52/1.69 #-{F} V0 | EXISTS V1: P_complement-{T}(V0,V1)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #18: input, references = 9, size of lhs = 2:
% 1.52/1.69 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #19: input, references = 6, size of lhs = 2:
% 1.52/1.69 #-{F} V0, #-{F} V1 | EXISTS V2: P_composition-{T}(V0,V1,V2)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #20: input, references = 4, size of lhs = 0:
% 1.52/1.69 FALSE | EXISTS V0: P_one-{T}(V0)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #21: input, references = 7, size of lhs = 1:
% 1.52/1.69 #-{F} V0 | EXISTS V1: P_converse-{T}(V0,V1)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #22: input, references = 4, size of lhs = 0:
% 1.52/1.69 FALSE | EXISTS V0: P_top-{T}(V0)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #23: input, references = 4, size of lhs = 0:
% 1.52/1.69 FALSE | EXISTS V0: P_zero-{T}(V0)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #24: input, references = 5, size of lhs = 0:
% 1.52/1.69 FALSE | EXISTS V0: P_sk1-{T}(V0)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #25: input, references = 6, size of lhs = 0:
% 1.52/1.69 FALSE | EXISTS V0: P_sk2-{T}(V0)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #26: input, references = 6, size of lhs = 0:
% 1.52/1.69 FALSE | EXISTS V0: P_sk3-{T}(V0)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 number of initial rules = 27
% 1.52/1.69
% 1.52/1.69 Simplifiers:
% 1.52/1.69 #27: unsound, references = 3, size of lhs = 3:
% 1.52/1.69 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #28: unsound, references = 3, size of lhs = 3:
% 1.52/1.69 P_complement-{F}(V0,V1), P_complement-{F}(V0,V3), V1 == V3 | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #29: unsound, references = 3, size of lhs = 3:
% 1.52/1.69 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #30: unsound, references = 3, size of lhs = 3:
% 1.52/1.69 P_composition-{F}(V0,V1,V2), P_composition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #31: unsound, references = 3, size of lhs = 3:
% 1.52/1.69 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #32: unsound, references = 3, size of lhs = 3:
% 1.52/1.69 P_converse-{F}(V0,V1), P_converse-{F}(V0,V3), V1 == V3 | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #33: unsound, references = 3, size of lhs = 3:
% 1.52/1.69 P_top-{F}(V0), P_top-{F}(V1), V0 == V1 | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #34: unsound, references = 3, size of lhs = 3:
% 1.52/1.69 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #35: unsound, references = 3, size of lhs = 3:
% 1.52/1.69 P_sk1-{F}(V0), P_sk1-{F}(V1), V0 == V1 | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #36: unsound, references = 3, size of lhs = 3:
% 1.52/1.69 P_sk2-{F}(V0), P_sk2-{F}(V1), V0 == V1 | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #37: unsound, references = 3, size of lhs = 3:
% 1.52/1.69 P_sk3-{F}(V0), P_sk3-{F}(V1), V0 == V1 | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 number of simplifiers = 11
% 1.52/1.69
% 1.52/1.69 Learnt:
% 1.52/1.69 #39: exists( #16, #11 ), references = 9, size of lhs = 3:
% 1.52/1.69 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V2,V3) | P_join-{T}(V2,V3,V1)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #42: exists( #17, #3 ), references = 4, size of lhs = 4:
% 1.52/1.69 P_complement-{F}(V0,V1), P_meet-{F}(V0,V2,V3), P_complement-{F}(V2,V4), P_join-{F}(V1,V4,V5) | P_complement-{T}(V5,V3)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #46: exists( #18, #12 ), references = 2, size of lhs = 4:
% 1.52/1.69 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_complement-{F}(V3,V4) | P_meet-{T}(V3,V4,V2)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #52: exists( #21, #9 ), references = 1, size of lhs = 5:
% 1.52/1.69 P_one-{F}(V0), P_converse-{F}(V1,V2), P_composition-{F}(V3,V1,V4), P_converse-{F}(V3,V5), P_composition-{F}(V2,V5,V6) | P_converse-{T}(V4,V6)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #54: exists( #19, #5 ), references = 3, size of lhs = 2:
% 1.52/1.69 P_one-{F}(V0), #-{F} V1 | P_composition-{T}(V1,V0,V1)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #57: exists( #16, #13 ), references = 3, size of lhs = 5:
% 1.52/1.69 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4) | P_join-{T}(V3,V4,V4)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #59: exists( #21, #7 ), references = 3, size of lhs = 2:
% 1.52/1.69 P_one-{F}(V0), P_converse-{F}(V1,V2) | P_converse-{T}(V2,V1)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #63: exists( #16, #14 ), references = 4, size of lhs = 7:
% 1.52/1.69 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_join-{F}(V3,V4,V5), P_sk3-{F}(V6) | P_join-{T}(V6,V4,V4)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #64: exists( #16, #1 ), references = 9, size of lhs = 3:
% 1.52/1.69 P_join-{F}(V0,V1,V2), P_join-{F}(V3,V2,V4), P_join-{F}(V3,V0,V5) | P_join-{T}(V5,V1,V4)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #70: exists( #17, #68 ), references = 2, size of lhs = 5:
% 1.52/1.69 P_one-{F}(V0), P_top-{F}(V1), P_join-{F}(V2,V1,V3), V3 == V1, P_join-{F}(V2,V4,V4) | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #74: exists( #16, #6 ), references = 1, size of lhs = 5:
% 1.52/1.69 P_one-{F}(V0), P_join-{F}(V1,V2,V3), P_composition-{F}(V3,V4,V5), P_composition-{F}(V1,V4,V6), P_composition-{F}(V2,V4,V7) | P_join-{T}(V6,V7,V5)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #79: exists( #16, #70 ), references = 3, size of lhs = 3:
% 1.52/1.69 P_one-{F}(V0), P_top-{F}(V1), P_join-{F}(V2,V3,V3) | P_join-{T}(V2,V1,V1)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #80: exists( #16, #1 ), references = 2, size of lhs = 3:
% 1.52/1.69 P_join-{F}(V0,V1,V2), P_join-{F}(V3,V0,V4), P_join-{F}(V4,V1,V5) | P_join-{T}(V3,V2,V5)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #88: exists( #16, #0 ), references = 10, size of lhs = 1:
% 1.52/1.69 P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #103: mergings( V10 == V12, V1 == V5, V5 == V7, V2 == V6, V6 == V8, V3 == V9, V4 == V8, V11 == V12; #94 ), references = 1, size of lhs = 6:
% 1.52/1.69 P_sk1-{F}(V0), P_top-{F}(V0), P_one-{F}(V1), P_zero-{F}(V2), P_sk2-{F}(V3), P_join-{F}(V0,V3,V3) | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #114: mergings( V1 == V4, V4 == V7, V7 == V9, V2 == V5, V5 == V8, V8 == V10, V3 == V6, V6 == V11; #105 ), references = 1, size of lhs = 4:
% 1.52/1.69 P_sk1-{F}(V0), P_top-{F}(V0), P_one-{F}(V1), P_zero-{F}(V2) | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #124: mergings( V8 == V10, V1 == V5, V2 == V6, V3 == V7, V4 == V10, V9 == V10; #117 ), references = 1, size of lhs = 6:
% 1.52/1.69 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V3), P_join-{F}(V3,V3,V3) | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #136: exists( #19, #9 ), references = 2, size of lhs = 5:
% 1.52/1.69 P_one-{F}(V0), P_converse-{F}(V1,V2), P_composition-{F}(V3,V1,V4), P_converse-{F}(V4,V5), P_converse-{F}(V3,V6) | P_composition-{T}(V2,V6,V5)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #147: exists( #18, #145 ), references = 1, size of lhs = 9:
% 1.52/1.69 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V1,V2), P_complement-{F}(V3,V4), P_complement-{F}(V5,V6), P_join-{F}(V4,V6,V7), P_complement-{F}(V8,V7), P_meet-{F}(V8,V7,V9), V9 == V2 | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #154: exists( #19, #4 ), references = 1, size of lhs = 3:
% 1.52/1.69 P_composition-{F}(V0,V1,V2), P_composition-{F}(V3,V2,V4), P_composition-{F}(V3,V0,V5) | P_composition-{T}(V5,V1,V4)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #158: exists( #17, #156 ), references = 1, size of lhs = 6:
% 1.52/1.69 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V1,V2), P_complement-{F}(V3,V4), P_meet-{F}(V3,V4,V5), V5 == V2 | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #163: mergings( V2 == V5, V3 == V0; #160 ), references = 1, size of lhs = 3:
% 1.52/1.69 P_zero-{F}(V0), P_one-{F}(V1), P_top-{F}(V2) | P_complement-{T}(V2,V0)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #173: mergings( V3 == V5; #171 ), references = 1, size of lhs = 11:
% 1.52/1.69 P_top-{F}(V0), P_one-{F}(V1), P_complement-{F}(V2,V3), P_complement-{F}(V4,V5), P_join-{F}(V3,V5,V6), P_converse-{F}(V7,V8), P_composition-{F}(V7,V6,V9), P_complement-{F}(V9,V10), P_composition-{F}(V8,V10,V11), P_join-{F}(V12,V6,V11), P_join-{F}(V12,V0,V13) | P_meet-{T}(V2,V4,V13)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #188: mergings( V2 == V4; #186 ), references = 1, size of lhs = 8:
% 1.52/1.69 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V2,V3), P_composition-{F}(V2,V4,V5), P_complement-{F}(V5,V6), P_composition-{F}(V3,V6,V7), P_join-{F}(V8,V4,V7), P_join-{F}(V8,V0,V9) | P_complement-{T}(V4,V9)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #191: exists( #16, #2 ), references = 5, size of lhs = 6:
% 1.52/1.69 P_complement-{F}(V0,V1), P_complement-{F}(V2,V3), P_join-{F}(V1,V3,V4), P_complement-{F}(V4,V5), P_join-{F}(V1,V2,V6), P_complement-{F}(V6,V7) | P_join-{T}(V5,V7,V0)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #193: exists( #18, #3 ), references = 1, size of lhs = 4:
% 1.52/1.69 P_complement-{F}(V0,V1), P_complement-{F}(V2,V3), P_join-{F}(V1,V3,V4), P_complement-{F}(V4,V5) | P_meet-{T}(V0,V2,V5)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #203: mergings( V0 == V2, V2 == V3; #200 ), references = 1, size of lhs = 1:
% 1.52/1.69 P_one-{F}(V0) | P_converse-{T}(V0,V0)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #209: mergings( V7 == V8; #207 ), references = 2, size of lhs = 8:
% 1.52/1.69 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V2,V2), P_join-{F}(V3,V4,V2), P_join-{F}(V3,V1,V5), P_complement-{F}(V5,V6), P_join-{F}(V6,V6,V7), V4 == V7 | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #220: mergings( V1 == V5, V5 == V7, V2 == V6, V6 == V8; #215 ), references = 1, size of lhs = 9:
% 1.52/1.69 P_zero-{F}(V0), P_sk1-{F}(V1), P_one-{F}(V2), P_top-{F}(V3), P_complement-{F}(V3,V3), P_join-{F}(V3,V3,V4), P_complement-{F}(V4,V5), P_join-{F}(V5,V5,V6), V1 == V6 | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #226: mergings( V1 == V4, V4 == V6, V2 == V5, V5 == V7; #221 ), references = 1, size of lhs = 7:
% 1.52/1.69 P_zero-{F}(V0), P_one-{F}(V1), P_top-{F}(V2), P_complement-{F}(V2,V2), P_join-{F}(V2,V2,V3), P_complement-{F}(V3,V4), P_join-{F}(V4,V4,V5) | P_sk1-{T}(V5)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #234: exists( #16, #10 ), references = 3, size of lhs = 6:
% 1.52/1.69 P_one-{F}(V0), P_converse-{F}(V1,V2), P_composition-{F}(V1,V3,V4), P_complement-{F}(V4,V5), P_composition-{F}(V2,V5,V6), P_complement-{F}(V3,V7) | P_join-{T}(V6,V7,V7)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #258: mergings( V11 == V15, V12 == V13, V15 == V16, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #249 ), references = 1, size of lhs = 11:
% 1.52/1.69 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V2), P_complement-{F}(V3,V0), P_composition-{F}(V2,V4,V4), P_complement-{F}(V4,V5), P_complement-{F}(V6,V5), P_composition-{F}(V7,V6,V3), P_complement-{F}(V7,V4), P_join-{F}(V4,V5,V8), P_complement-{F}(V8,V5) | P_converse-{T}(V7,V7)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #281: exists( #17, #279 ), references = 2, size of lhs = 10:
% 1.52/1.69 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V1,V2), P_complement-{F}(V3,V2), P_join-{F}(V4,V1,V5), P_complement-{F}(V5,V6), P_complement-{F}(V7,V6), P_meet-{F}(V3,V7,V8), P_complement-{F}(V9,V10), P_join-{F}(V4,V10,V9) | P_complement-{T}(V10,V8)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #301: mergings( V3 == V6, V6 == V8, V4 == V7, V5 == V16, V7 == V9; #295 ), references = 1, size of lhs = 22:
% 1.52/1.69 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_join-{F}(V3,V4,V5), P_sk3-{F}(V6), P_join-{F}(V6,V4,V7), P_complement-{F}(V1,V8), P_complement-{F}(V9,V8), P_join-{F}(V10,V8,V3), P_complement-{F}(V11,V6), P_join-{F}(V12,V1,V11), P_join-{F}(V13,V4,V4), P_join-{F}(V10,V14,V13), P_join-{F}(V12,V14,V15), P_complement-{F}(V15,V14), P_complement-{F}(V16,V14), P_join-{F}(V17,V14,V16), P_join-{F}(V17,V1,V18), P_complement-{F}(V18,V19), P_complement-{F}(V20,V19) | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #311: mergings( V14 == V15, V3 == V7, V7 == V9, V4 == V8, V5 == V18, V8 == V10; #304 ), references = 1, size of lhs = 27:
% 1.52/1.69 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_complement-{F}(V3,V4), P_sk2-{F}(V5), P_join-{F}(V3,V5,V5), P_sk3-{F}(V6), P_join-{F}(V6,V5,V7), P_complement-{F}(V1,V8), P_complement-{F}(V9,V8), P_complement-{F}(V10,V8), P_join-{F}(V4,V11,V10), P_complement-{F}(V11,V12), P_join-{F}(V4,V12,V13), P_complement-{F}(V14,V6), P_join-{F}(V15,V1,V14), P_join-{F}(V15,V8,V16), P_complement-{F}(V16,V8), P_complement-{F}(V17,V8), P_join-{F}(V18,V8,V17), P_join-{F}(V18,V1,V19), P_complement-{F}(V19,V20), P_complement-{F}(V21,V20), P_complement-{F}(V22,V23), P_join-{F}(V23,V24,V13), P_complement-{F}(V25,V24) | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #319: exists( #16, #8 ), references = 1, size of lhs = 5:
% 1.52/1.69 P_one-{F}(V0), P_converse-{F}(V1,V2), P_join-{F}(V1,V3,V4), P_converse-{F}(V4,V5), P_converse-{F}(V3,V6) | P_join-{T}(V2,V6,V5)
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #330: mergings( V8 == V9; #328 ), references = 2, size of lhs = 9:
% 1.52/1.69 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_join-{F}(V3,V4,V5), P_sk3-{F}(V6), P_join-{F}(V6,V4,V7), P_join-{F}(V3,V7,V4) | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #340: mergings( V9 == V11, V1 == V5, V2 == V6, V3 == V7, V4 == V8, V10 == V11; #333 ), references = 1, size of lhs = 6:
% 1.52/1.69 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_join-{F}(V3,V4,V4) | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #349: mergings( V1 == V4, V4 == V7, V2 == V5, V5 == V8, V3 == V6, V6 == V9; #342 ), references = 1, size of lhs = 4:
% 1.52/1.69 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_sk1-{F}(V3) | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #357: mergings( V1 == V4, V4 == V7, V2 == V5, V5 == V8, V3 == V6, V6 == V9; #350 ), references = 1, size of lhs = 3:
% 1.52/1.69 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2) | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #363: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #358 ), references = 1, size of lhs = 2:
% 1.52/1.69 P_one-{F}(V0), P_top-{F}(V1) | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #367: mergings( V1 == V2, V2 == V3; #364 ), references = 1, size of lhs = 1:
% 1.52/1.69 P_one-{F}(V0) | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 #369: exists( #20, #364 ), references = 1, size of lhs = 0:
% 1.52/1.69 FALSE | FALSE
% 1.52/1.69 (used 0 times, uses = {})
% 1.52/1.69
% 1.52/1.69 number of learnt formulas = 43
% 1.52/1.69
% 1.52/1.69
% 1.52/1.69 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.52/1.69
% 1.52/1.69 randbase = 1
%------------------------------------------------------------------------------