TSTP Solution File: CAT018-4 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : CAT018-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n025.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 05:58:52 EDT 2022
% Result : Unsatisfiable 1.03s 1.18s
% Output : Refutation 1.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CAT018-4 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n025.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 : Fri Jul 22 07:30:26 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.03/1.18 GeoParameters:
% 1.03/1.18
% 1.03/1.18 tptp_input = 1
% 1.03/1.18 tptp_output = 0
% 1.03/1.18 nonempty = 1
% 1.03/1.18 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.03/1.18 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.03/1.18
% 1.03/1.18
% 1.03/1.18 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.03/1.18 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.03/1.18
% 1.03/1.18 RuleSystem INPUT:
% 1.03/1.18
% 1.03/1.18 Initial Rules:
% 1.03/1.18 #0: input, references = 3, size of lhs = 1:
% 1.03/1.18 equivalent-{F}(V0,V1) | there_exists-{T}(V0)
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #1: input, references = 3, size of lhs = 2:
% 1.03/1.18 equivalent-{F}(V0,V1), V0 == V1 | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #2: input, references = 3, size of lhs = 1:
% 1.03/1.18 there_exists-{F}(V1) | equivalent-{T}(V1,V1)
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #3: input, references = 7, size of lhs = 2:
% 1.03/1.18 P_domain-{F}(V0,V1), there_exists-{F}(V1) | there_exists-{T}(V0)
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #4: input, references = 4, size of lhs = 2:
% 1.03/1.18 P_codomain-{F}(V0,V1), there_exists-{F}(V1) | there_exists-{T}(V0)
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #5: input, references = 10, size of lhs = 3:
% 1.03/1.18 P_domain-{F}(V0,V1), P_compose-{F}(V0,V2,V3), there_exists-{F}(V3) | there_exists-{T}(V1)
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #6: input, references = 11, size of lhs = 5:
% 1.03/1.18 P_compose-{F}(V0,V1,V2), P_domain-{F}(V0,V3), P_codomain-{F}(V1,V4), there_exists-{F}(V2), V3 == V4 | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #7: input, references = 4, size of lhs = 4:
% 1.03/1.18 P_domain-{F}(V0,V3), there_exists-{F}(V3), P_codomain-{F}(V2,V3), P_compose-{F}(V0,V2,V4) | there_exists-{T}(V4)
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #8: input, references = 5, size of lhs = 5:
% 1.03/1.18 P_compose-{F}(V1,V2,V3), P_compose-{F}(V0,V3,V4), P_compose-{F}(V0,V1,V5), P_compose-{F}(V5,V2,V6), V4 == V6 | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #9: input, references = 4, size of lhs = 3:
% 1.03/1.18 P_domain-{F}(V0,V1), P_compose-{F}(V0,V1,V2), V2 == V0 | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #10: input, references = 4, size of lhs = 3:
% 1.03/1.18 P_codomain-{F}(V0,V1), P_compose-{F}(V1,V0,V2), V2 == V0 | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #11: input, references = 12, size of lhs = 3:
% 1.03/1.18 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2) | there_exists-{T}(V2)
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #12: input, references = 5, size of lhs = 5:
% 1.03/1.18 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_c-{F}(V3), P_compose-{F}(V1,V3,V4) | there_exists-{T}(V4)
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #13: input, references = 5, size of lhs = 7:
% 1.03/1.18 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_c-{F}(V3), P_compose-{F}(V1,V3,V4), P_compose-{F}(V0,V4,V5), there_exists-{F}(V5) | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #14: input, references = 16, size of lhs = 1:
% 1.03/1.18 #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #15: input, references = 8, size of lhs = 1:
% 1.03/1.18 #-{F} V0 | EXISTS V1: P_codomain-{T}(V0,V1)
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #16: input, references = 20, size of lhs = 2:
% 1.03/1.18 #-{F} V0, #-{F} V1 | EXISTS V2: P_compose-{T}(V0,V1,V2)
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #17: input, references = 4, size of lhs = 0:
% 1.03/1.18 FALSE | EXISTS V0: P_a-{T}(V0)
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #18: input, references = 4, size of lhs = 0:
% 1.03/1.18 FALSE | EXISTS V0: P_b-{T}(V0)
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #19: input, references = 5, size of lhs = 0:
% 1.03/1.18 FALSE | EXISTS V0: P_c-{T}(V0)
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 number of initial rules = 20
% 1.03/1.18
% 1.03/1.18 Simplifiers:
% 1.03/1.18 #20: unsound, references = 3, size of lhs = 2:
% 1.03/1.18 equivalent-{F}(V0,V1), V1 == V0 | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #21: unsound, references = 3, size of lhs = 3:
% 1.03/1.18 P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #22: unsound, references = 3, size of lhs = 3:
% 1.03/1.18 P_codomain-{F}(V0,V1), P_codomain-{F}(V0,V3), V1 == V3 | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #23: unsound, references = 3, size of lhs = 3:
% 1.03/1.18 P_compose-{F}(V0,V1,V2), P_compose-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #24: unsound, references = 3, size of lhs = 3:
% 1.03/1.18 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #25: unsound, references = 3, size of lhs = 3:
% 1.03/1.18 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #26: unsound, references = 3, size of lhs = 3:
% 1.03/1.18 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 number of simplifiers = 7
% 1.03/1.18
% 1.03/1.18 Learnt:
% 1.03/1.18 #28: exists( #16, #10 ), references = 6, size of lhs = 1:
% 1.03/1.18 P_codomain-{F}(V0,V1) | P_compose-{T}(V1,V0,V0)
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #31: exists( #16, #9 ), references = 2, size of lhs = 1:
% 1.03/1.18 P_domain-{F}(V0,V1) | P_compose-{T}(V0,V1,V0)
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #37: exists( #16, #35 ), references = 1, size of lhs = 5:
% 1.03/1.18 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V0,V2), P_codomain-{F}(V1,V3), V2 == V3 | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #39: exists( #15, #36 ), references = 7, size of lhs = 3:
% 1.03/1.18 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V0,V2) | P_codomain-{T}(V1,V2)
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #41: exists( #16, #8 ), references = 1, size of lhs = 3:
% 1.03/1.18 P_compose-{F}(V0,V1,V2), P_compose-{F}(V3,V2,V4), P_compose-{F}(V3,V0,V5) | P_compose-{T}(V5,V1,V4)
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #59: exists( #16, #57 ), references = 3, size of lhs = 9:
% 1.03/1.18 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V2), P_domain-{F}(V4,V3), P_compose-{F}(V5,V6,V4), P_domain-{F}(V5,V7), P_codomain-{F}(V6,V8), V7 == V8 | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #63: mergings( V2 == V3; #61 ), references = 1, size of lhs = 5:
% 1.03/1.18 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V2,V0), P_compose-{F}(V3,V1,V2), P_domain-{F}(V3,V4) | P_domain-{T}(V0,V4)
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #79: exists( #16, #77 ), references = 2, size of lhs = 9:
% 1.03/1.18 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V2), P_codomain-{F}(V4,V3), P_compose-{F}(V5,V6,V4), P_domain-{F}(V5,V7), P_codomain-{F}(V6,V8), V7 == V8 | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #81: exists( #14, #78 ), references = 1, size of lhs = 5:
% 1.03/1.18 P_a-{F}(V0), P_b-{F}(V1), P_codomain-{F}(V2,V0), P_compose-{F}(V0,V3,V2), P_codomain-{F}(V3,V4) | P_domain-{T}(V0,V4)
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #92: exists( #16, #90 ), references = 3, size of lhs = 7:
% 1.03/1.18 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V0,V2), P_compose-{F}(V3,V4,V2), P_domain-{F}(V3,V5), P_codomain-{F}(V4,V6), V5 == V6 | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #102: exists( #16, #100 ), references = 4, size of lhs = 8:
% 1.03/1.18 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V2), P_compose-{F}(V4,V5,V3), P_domain-{F}(V4,V6), P_codomain-{F}(V5,V7), V6 == V7 | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #110: exists( #14, #102 ), references = 3, size of lhs = 6:
% 1.03/1.18 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V2), P_compose-{F}(V4,V5,V3), P_codomain-{F}(V5,V6) | P_domain-{T}(V4,V6)
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #111: exists( #14, #6 ), references = 1, size of lhs = 3:
% 1.03/1.18 there_exists-{F}(V0), P_compose-{F}(V1,V2,V0), P_codomain-{F}(V2,V3) | P_domain-{T}(V1,V3)
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #118: exists( #15, #92 ), references = 1, size of lhs = 5:
% 1.03/1.18 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V0,V2), P_compose-{F}(V3,V4,V2), P_domain-{F}(V3,V5) | P_codomain-{T}(V4,V5)
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #119: exists( #15, #6 ), references = 3, size of lhs = 3:
% 1.03/1.18 there_exists-{F}(V0), P_compose-{F}(V1,V2,V0), P_domain-{F}(V1,V3) | P_codomain-{T}(V2,V3)
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #125: exists( #16, #8 ), references = 4, size of lhs = 3:
% 1.03/1.18 P_compose-{F}(V0,V1,V2), P_compose-{F}(V3,V0,V4), P_compose-{F}(V4,V1,V5) | P_compose-{T}(V3,V2,V5)
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #128: exists( #16, #126 ), references = 2, size of lhs = 8:
% 1.03/1.18 there_exists-{F}(V0), P_a-{F}(V1), P_domain-{F}(V1,V0), P_b-{F}(V2), P_compose-{F}(V1,V2,V3), P_c-{F}(V4), P_compose-{F}(V2,V4,V5), P_codomain-{F}(V5,V0) | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #134: exists( #16, #132 ), references = 1, size of lhs = 6:
% 1.03/1.18 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V0), P_domain-{F}(V0,V1), P_domain-{F}(V2,V1), P_compose-{F}(V2,V0,V0) | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #140: mergings( V2 == V0; #138 ), references = 1, size of lhs = 3:
% 1.03/1.18 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V0) | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #142: exists( #14, #79 ), references = 1, size of lhs = 7:
% 1.03/1.18 P_a-{F}(V0), P_b-{F}(V1), P_codomain-{F}(V2,V0), P_compose-{F}(V3,V4,V2), P_domain-{F}(V3,V5), P_codomain-{F}(V4,V6), V5 == V6 | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #146: exists( #16, #144 ), references = 1, size of lhs = 4:
% 1.03/1.18 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_compose-{F}(V1,V2,V1) | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #156: exists( #16, #153 ), references = 2, size of lhs = 7:
% 1.03/1.18 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_c-{F}(V3), P_domain-{F}(V1,V4), P_codomain-{F}(V3,V5), V4 == V5 | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #158: exists( #15, #155 ), references = 1, size of lhs = 5:
% 1.03/1.18 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_c-{F}(V3), P_domain-{F}(V1,V4) | P_codomain-{T}(V3,V4)
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #176: mergings( V3 == V7, V4 == V8; #173 ), references = 2, size of lhs = 8:
% 1.03/1.18 there_exists-{F}(V0), P_domain-{F}(V1,V0), P_a-{F}(V2), P_domain-{F}(V2,V0), P_b-{F}(V3), P_compose-{F}(V1,V3,V3), P_compose-{F}(V2,V3,V4), P_c-{F}(V5) | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #181: exists( #16, #179 ), references = 1, size of lhs = 8:
% 1.03/1.18 P_a-{F}(V0), P_domain-{F}(V0,V1), P_domain-{F}(V2,V1), P_compose-{F}(V2,V0,V0), P_domain-{F}(V3,V1), P_b-{F}(V4), P_compose-{F}(V3,V4,V4), P_c-{F}(V5) | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #187: mergings( V2 == V0; #185 ), references = 1, size of lhs = 3:
% 1.03/1.18 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1) | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #190: mergings( V1 == V2; #188 ), references = 1, size of lhs = 2:
% 1.03/1.18 P_a-{F}(V0), P_b-{F}(V0) | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #210: exists( #15, #102 ), references = 2, size of lhs = 6:
% 1.03/1.18 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V2), P_compose-{F}(V4,V5,V3), P_domain-{F}(V4,V6) | P_codomain-{T}(V5,V6)
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #229: exists( #14, #92 ), references = 2, size of lhs = 5:
% 1.03/1.18 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V0,V2), P_compose-{F}(V3,V4,V2), P_codomain-{F}(V4,V5) | P_domain-{T}(V3,V5)
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #246: exists( #16, #156 ), references = 1, size of lhs = 6:
% 1.03/1.18 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_domain-{F}(V1,V3), P_codomain-{F}(V2,V4), V3 == V4 | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #248: exists( #14, #245 ), references = 2, size of lhs = 4:
% 1.03/1.18 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_codomain-{F}(V2,V3) | P_domain-{T}(V1,V3)
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #255: mergings( V3 == V0, V2 == V4, V4 == V5; #251 ), references = 1, size of lhs = 6:
% 1.03/1.18 P_c-{F}(V0), P_b-{F}(V0), P_a-{F}(V1), P_domain-{F}(V2,V0), P_compose-{F}(V3,V0,V2), P_domain-{F}(V3,V4) | P_domain-{T}(V1,V4)
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #268: exists( #14, #59 ), references = 2, size of lhs = 7:
% 1.03/1.18 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V2,V0), P_compose-{F}(V3,V4,V2), P_domain-{F}(V3,V5), P_codomain-{F}(V4,V6), V5 == V6 | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #271: exists( #14, #102 ), references = 1, size of lhs = 6:
% 1.03/1.18 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V2,V3,V0), P_domain-{F}(V2,V4), P_codomain-{F}(V3,V5), V4 == V5 | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #278: exists( #15, #268 ), references = 1, size of lhs = 5:
% 1.03/1.18 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V2,V0), P_compose-{F}(V3,V4,V2), P_domain-{F}(V3,V5) | P_codomain-{T}(V4,V5)
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #305: exists( #16, #303 ), references = 2, size of lhs = 6:
% 1.03/1.18 P_a-{F}(V0), P_domain-{F}(V0,V1), P_domain-{F}(V2,V1), P_b-{F}(V3), P_compose-{F}(V2,V3,V3), P_c-{F}(V4) | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #314: mergings( V2 == V0, V3 == V4, V4 == V5; #310 ), references = 1, size of lhs = 3:
% 1.03/1.18 P_b-{F}(V0), P_c-{F}(V0), P_a-{F}(V1) | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #330: mergings( V2 == V3, V3 == V4; #327 ), references = 1, size of lhs = 3:
% 1.03/1.18 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2) | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #334: mergings( V1 == V2, V2 == V4; #331 ), references = 1, size of lhs = 2:
% 1.03/1.18 P_a-{F}(V0), P_b-{F}(V1) | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #336: exists( #18, #331 ), references = 1, size of lhs = 1:
% 1.03/1.18 P_a-{F}(V0) | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 #338: exists( #17, #335 ), references = 1, size of lhs = 0:
% 1.03/1.18 FALSE | FALSE
% 1.03/1.18 (used 0 times, uses = {})
% 1.03/1.18
% 1.03/1.18 number of learnt formulas = 41
% 1.03/1.18
% 1.03/1.18
% 1.03/1.18 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.03/1.18
% 1.03/1.18 randbase = 1
%------------------------------------------------------------------------------