TSTP Solution File: CAT003-4 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : CAT003-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n009.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 05:58:47 EDT 2022
% Result : Unsatisfiable 1.10s 1.31s
% Output : Refutation 1.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CAT003-4 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n009.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 07:21:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.10/1.31 GeoParameters:
% 1.10/1.31
% 1.10/1.31 tptp_input = 1
% 1.10/1.31 tptp_output = 0
% 1.10/1.31 nonempty = 1
% 1.10/1.31 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.10/1.31 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.10/1.31
% 1.10/1.31
% 1.10/1.31 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.10/1.31 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.10/1.31
% 1.10/1.31 RuleSystem INPUT:
% 1.10/1.31
% 1.10/1.31 Initial Rules:
% 1.10/1.31 #0: input, references = 3, size of lhs = 1:
% 1.10/1.31 equivalent-{F}(V0,V1) | there_exists-{T}(V0)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #1: input, references = 3, size of lhs = 2:
% 1.10/1.31 equivalent-{F}(V0,V1), V0 == V1 | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #2: input, references = 3, size of lhs = 1:
% 1.10/1.31 there_exists-{F}(V1) | equivalent-{T}(V1,V1)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #3: input, references = 15, size of lhs = 2:
% 1.10/1.31 P_domain-{F}(V0,V1), there_exists-{F}(V1) | there_exists-{T}(V0)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #4: input, references = 5, size of lhs = 2:
% 1.10/1.31 P_codomain-{F}(V0,V1), there_exists-{F}(V1) | there_exists-{T}(V0)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #5: input, references = 13, size of lhs = 3:
% 1.10/1.31 P_domain-{F}(V0,V1), P_compose-{F}(V0,V2,V3), there_exists-{F}(V3) | there_exists-{T}(V1)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #6: input, references = 16, size of lhs = 5:
% 1.10/1.31 P_compose-{F}(V0,V1,V2), P_domain-{F}(V0,V3), P_codomain-{F}(V1,V4), there_exists-{F}(V2), V3 == V4 | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #7: input, references = 3, size of lhs = 4:
% 1.10/1.31 P_domain-{F}(V0,V3), there_exists-{F}(V3), P_codomain-{F}(V2,V3), P_compose-{F}(V0,V2,V4) | there_exists-{T}(V4)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #8: input, references = 5, size of lhs = 5:
% 1.10/1.31 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
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #9: input, references = 4, size of lhs = 3:
% 1.10/1.31 P_domain-{F}(V0,V1), P_compose-{F}(V0,V1,V2), V2 == V0 | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #10: input, references = 4, size of lhs = 3:
% 1.10/1.31 P_codomain-{F}(V0,V1), P_compose-{F}(V1,V0,V2), V2 == V0 | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #11: input, references = 13, size of lhs = 3:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2) | there_exists-{T}(V2)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #12: input, references = 5, size of lhs = 6:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_compose-{F}(V4,V2,V3), P_compose-{F}(V6,V2,V3), V6 == V4 | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #13: input, references = 7, size of lhs = 4:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_h-{F}(V3) | there_exists-{T}(V3)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #14: input, references = 8, size of lhs = 8:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_h-{F}(V3), P_compose-{F}(V3,V0,V4), P_g-{F}(V5), P_compose-{F}(V5,V0,V6), V4 == V6 | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #15: input, references = 5, size of lhs = 7:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_h-{F}(V3), P_compose-{F}(V3,V0,V4), P_g-{F}(V3), P_compose-{F}(V3,V0,V6) | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #16: input, references = 10, size of lhs = 1:
% 1.10/1.31 #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #17: input, references = 7, size of lhs = 1:
% 1.10/1.31 #-{F} V0 | EXISTS V1: P_codomain-{T}(V0,V1)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #18: input, references = 35, size of lhs = 2:
% 1.10/1.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_compose-{T}(V0,V1,V2)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #19: input, references = 4, size of lhs = 0:
% 1.10/1.31 FALSE | EXISTS V0: P_a-{T}(V0)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #20: input, references = 4, size of lhs = 0:
% 1.10/1.31 FALSE | EXISTS V0: P_b-{T}(V0)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #21: input, references = 5, size of lhs = 0:
% 1.10/1.31 FALSE | EXISTS V0: P_h-{T}(V0)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #22: input, references = 6, size of lhs = 0:
% 1.10/1.31 FALSE | EXISTS V0: P_g-{T}(V0)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 number of initial rules = 23
% 1.10/1.31
% 1.10/1.31 Simplifiers:
% 1.10/1.31 #23: unsound, references = 3, size of lhs = 2:
% 1.10/1.31 equivalent-{F}(V0,V1), V1 == V0 | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #24: unsound, references = 3, size of lhs = 3:
% 1.10/1.31 P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #25: unsound, references = 3, size of lhs = 3:
% 1.10/1.31 P_codomain-{F}(V0,V1), P_codomain-{F}(V0,V3), V1 == V3 | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #26: unsound, references = 3, size of lhs = 3:
% 1.10/1.31 P_compose-{F}(V0,V1,V2), P_compose-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #27: unsound, references = 3, size of lhs = 3:
% 1.10/1.31 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #28: unsound, references = 3, size of lhs = 3:
% 1.10/1.31 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #29: unsound, references = 3, size of lhs = 3:
% 1.10/1.31 P_h-{F}(V0), P_h-{F}(V1), V0 == V1 | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #30: unsound, references = 3, size of lhs = 3:
% 1.10/1.31 P_g-{F}(V0), P_g-{F}(V1), V0 == V1 | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 number of simplifiers = 8
% 1.10/1.31
% 1.10/1.31 Learnt:
% 1.10/1.31 #32: exists( #18, #15 ), references = 1, size of lhs = 4:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V0), P_h-{F}(V0), P_g-{F}(V0) | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #34: exists( #18, #10 ), references = 8, size of lhs = 1:
% 1.10/1.31 P_codomain-{F}(V0,V1) | P_compose-{T}(V1,V0,V0)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #36: exists( #18, #9 ), references = 6, size of lhs = 1:
% 1.10/1.31 P_domain-{F}(V0,V1) | P_compose-{T}(V0,V1,V0)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #39: exists( #18, #8 ), references = 6, size of lhs = 3:
% 1.10/1.31 P_compose-{F}(V0,V1,V2), P_compose-{F}(V3,V0,V4), P_compose-{F}(V4,V1,V5) | P_compose-{T}(V3,V2,V5)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #44: exists( #18, #14 ), references = 1, size of lhs = 5:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V0), P_h-{F}(V0), P_g-{F}(V1), P_compose-{F}(V1,V0,V2) | P_compose-{T}(V0,V0,V2)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #50: exists( #18, #48 ), references = 1, size of lhs = 5:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V0,V2), P_codomain-{F}(V1,V3), V2 == V3 | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #52: exists( #17, #49 ), references = 3, size of lhs = 3:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V0,V2) | P_codomain-{T}(V1,V2)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #62: exists( #18, #60 ), references = 4, size of lhs = 8:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1), P_h-{F}(V2), P_codomain-{F}(V3,V2), P_compose-{F}(V4,V5,V3), P_domain-{F}(V4,V6), P_codomain-{F}(V5,V7), V6 == V7 | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #65: exists( #18, #8 ), references = 10, size of lhs = 3:
% 1.10/1.31 P_compose-{F}(V0,V1,V2), P_compose-{F}(V3,V2,V4), P_compose-{F}(V3,V0,V5) | P_compose-{T}(V5,V1,V4)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #73: exists( #18, #14 ), references = 2, size of lhs = 6:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_h-{F}(V3), P_compose-{F}(V3,V0,V4), P_g-{F}(V5) | P_compose-{T}(V5,V0,V4)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #81: exists( #17, #6 ), references = 8, size of lhs = 3:
% 1.10/1.31 there_exists-{F}(V0), P_compose-{F}(V1,V2,V0), P_domain-{F}(V1,V3) | P_codomain-{T}(V2,V3)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #91: exists( #18, #89 ), references = 5, size of lhs = 8:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_compose-{F}(V3,V4,V2), P_compose-{F}(V5,V4,V2), P_compose-{F}(V6,V5,V7), P_compose-{F}(V8,V3,V7), V6 == V8 | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #94: exists( #18, #92 ), references = 1, size of lhs = 5:
% 1.10/1.31 P_h-{F}(V0), P_a-{F}(V0), P_b-{F}(V0), P_g-{F}(V1), V0 == V1 | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #96: exists( #22, #93 ), references = 1, size of lhs = 3:
% 1.10/1.31 P_h-{F}(V0), P_a-{F}(V0), P_b-{F}(V0) | P_g-{T}(V0)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #99: exists( #16, #62 ), references = 1, size of lhs = 6:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1), P_h-{F}(V2), P_codomain-{F}(V3,V2), P_compose-{F}(V4,V5,V3), P_codomain-{F}(V5,V6) | P_domain-{T}(V4,V6)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #101: exists( #17, #62 ), references = 1, size of lhs = 6:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1), P_h-{F}(V2), P_codomain-{F}(V3,V2), P_compose-{F}(V4,V5,V3), P_domain-{F}(V4,V6) | P_codomain-{T}(V5,V6)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #103: exists( #18, #14 ), references = 1, size of lhs = 5:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V0), P_g-{F}(V0), P_h-{F}(V1), P_compose-{F}(V1,V0,V2) | P_compose-{T}(V0,V0,V2)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #114: exists( #18, #110 ), references = 2, size of lhs = 5:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_compose-{F}(V2,V2,V2), #-{F} V3 | P_compose-{T}(V3,V2,V3)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #115: exists( #18, #111 ), references = 5, size of lhs = 7:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_compose-{F}(V3,V4,V2), P_compose-{F}(V5,V3,V5), P_compose-{F}(V5,V4,V2), #-{F} V6 | P_compose-{T}(V6,V5,V6)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #121: exists( #18, #119 ), references = 2, size of lhs = 7:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1), P_h-{F}(V2), P_compose-{F}(V3,V4,V2), P_domain-{F}(V3,V5), P_codomain-{F}(V4,V6), V5 == V6 | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #123: exists( #18, #91 ), references = 1, size of lhs = 5:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V2,V0,V3), P_compose-{F}(V4,V0,V3), V2 == V4 | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #126: exists( #16, #6 ), references = 3, size of lhs = 3:
% 1.10/1.31 there_exists-{F}(V0), P_compose-{F}(V1,V2,V0), P_codomain-{F}(V2,V3) | P_domain-{T}(V1,V3)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #127: exists( #16, #121 ), references = 2, size of lhs = 5:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1), P_h-{F}(V2), P_compose-{F}(V3,V4,V2), P_codomain-{F}(V4,V5) | P_domain-{T}(V3,V5)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #142: mergings( V2 == V5, V3 == V6; #139 ), references = 1, size of lhs = 7:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_compose-{F}(V2,V2,V2), P_h-{F}(V3), there_exists-{F}(V3), P_codomain-{F}(V2,V4) | P_codomain-{T}(V3,V4)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #144: exists( #18, #14 ), references = 2, size of lhs = 6:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_h-{F}(V3), P_g-{F}(V4), P_compose-{F}(V4,V0,V5) | P_compose-{T}(V3,V0,V5)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #152: exists( #18, #146 ), references = 1, size of lhs = 5:
% 1.10/1.31 P_h-{F}(V0), P_g-{F}(V1), V0 == V1, P_a-{F}(V1), P_b-{F}(V1) | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #154: exists( #18, #14 ), references = 1, size of lhs = 7:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1), P_h-{F}(V2), P_compose-{F}(V2,V0,V3), P_g-{F}(V4), P_compose-{F}(V4,V0,V5), V3 == V5 | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #156: exists( #18, #153 ), references = 1, size of lhs = 5:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1), P_h-{F}(V2), P_compose-{F}(V2,V0,V3), P_g-{F}(V4) | P_compose-{T}(V4,V0,V3)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #171: exists( #18, #169 ), references = 2, size of lhs = 8:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1), P_h-{F}(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
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #235: mergings( V3 == V5; #232 ), references = 1, size of lhs = 10:
% 1.10/1.31 P_h-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_domain-{F}(V3,V0), P_domain-{F}(V1,V4), P_domain-{F}(V5,V4), P_compose-{F}(V6,V1,V1), V0 == V6, P_domain-{F}(V7,V6), P_compose-{F}(V7,V6,V5) | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #239: mergings( V5 == V7, V0 == V3, V1 == V4; #231 ), references = 1, size of lhs = 10:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1), P_h-{F}(V2), P_domain-{F}(V3,V2), P_domain-{F}(V0,V4), P_domain-{F}(V5,V4), P_compose-{F}(V6,V0,V0), V2 == V6, P_domain-{F}(V7,V6), P_compose-{F}(V7,V6,V5) | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #242: mergings( V0 == V3, V1 == V4; #233 ), references = 1, size of lhs = 11:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1), P_h-{F}(V2), P_codomain-{F}(V3,V2), P_domain-{F}(V3,V4), P_domain-{F}(V0,V5), P_domain-{F}(V6,V5), P_compose-{F}(V7,V0,V0), V4 == V7, P_domain-{F}(V8,V7), P_compose-{F}(V8,V7,V6) | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #257: mergings( V2 == V5, V0 == V4; #252 ), references = 1, size of lhs = 4:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V0), P_h-{F}(V1), P_domain-{F}(V2,V1) | P_domain-{T}(V0,V1)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #276: mergings( V4 == V6; #274 ), references = 2, size of lhs = 6:
% 1.10/1.31 P_h-{F}(V0), P_g-{F}(V1), V1 == V0, P_a-{F}(V2), P_b-{F}(V3), P_compose-{F}(V1,V2,V4) | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #288: exists( #18, #276 ), references = 2, size of lhs = 5:
% 1.10/1.31 P_h-{F}(V0), P_g-{F}(V1), V1 == V0, P_a-{F}(V2), P_b-{F}(V3) | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #290: exists( #22, #287 ), references = 1, size of lhs = 3:
% 1.10/1.31 P_h-{F}(V0), P_a-{F}(V1), P_b-{F}(V2) | P_g-{T}(V0)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #296: mergings( V4 == V5; #294 ), references = 2, size of lhs = 5:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1), P_h-{F}(V2), P_g-{F}(V2), P_compose-{F}(V2,V0,V3) | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #311: exists( #18, #309 ), references = 1, size of lhs = 10:
% 1.10/1.31 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,V3), P_domain-{F}(V5,V7), P_compose-{F}(V8,V6,V4), P_domain-{F}(V8,V9), V9 == V7 | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #317: mergings( V3 == V5, V0 == V6; #314 ), references = 1, size of lhs = 4:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V2,V0), P_compose-{F}(V3,V0,V2) | P_domain-{T}(V0,V0)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #339: exists( #18, #337 ), references = 1, size of lhs = 12:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V0,V2), P_compose-{F}(V1,V3,V1), P_domain-{F}(V4,V2), P_compose-{F}(V5,V3,V4), P_domain-{F}(V5,V6), P_domain-{F}(V7,V2), P_compose-{F}(V0,V8,V7), P_compose-{F}(V1,V9,V8), P_codomain-{F}(V9,V10), V6 == V10 | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #354: exists( #18, #352 ), references = 1, size of lhs = 12:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V0,V2), P_compose-{F}(V1,V3,V1), P_domain-{F}(V4,V2), P_compose-{F}(V5,V3,V4), P_domain-{F}(V5,V6), P_codomain-{F}(V7,V4), P_compose-{F}(V0,V8,V7), P_compose-{F}(V1,V9,V8), P_codomain-{F}(V9,V10), V6 == V10 | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #357: exists( #16, #355 ), references = 1, size of lhs = 6:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V0), P_codomain-{F}(V1,V0), P_compose-{F}(V0,V2,V1), P_compose-{F}(V0,V3,V2), P_codomain-{F}(V3,V4) | P_domain-{T}(V0,V4)
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #369: exists( #18, #367 ), references = 1, size of lhs = 7:
% 1.10/1.31 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
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #379: exists( #18, #377 ), references = 1, size of lhs = 8:
% 1.10/1.31 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
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #388: exists( #18, #384 ), references = 3, size of lhs = 6:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1), P_h-{F}(V2), P_g-{F}(V2), P_compose-{F}(V3,V0,V4), P_compose-{F}(V5,V3,V2) | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #400: mergings( V0 == V3, V3 == V10, V1 == V4; #396 ), references = 1, size of lhs = 9:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1), P_h-{F}(V2), P_g-{F}(V2), P_domain-{F}(V0,V3), P_domain-{F}(V4,V3), P_compose-{F}(V5,V0,V0), P_domain-{F}(V6,V5), P_compose-{F}(V6,V5,V4) | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #407: mergings( V0 == V2, V2 == V3; #404 ), references = 1, size of lhs = 4:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V0), P_h-{F}(V1), P_g-{F}(V1) | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #414: mergings( V1 == V3, V2 == V3, V3 == V4, V4 == V5; #409 ), references = 1, size of lhs = 2:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V0) | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #428: exists( #18, #388 ), references = 1, size of lhs = 5:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1), P_h-{F}(V2), P_g-{F}(V2), P_compose-{F}(V3,V4,V2) | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #431: exists( #16, #429 ), references = 1, size of lhs = 4:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1), P_h-{F}(V2), P_g-{F}(V2) | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #436: mergings( V1 == V3, V2 == V4; #433 ), references = 1, size of lhs = 2:
% 1.10/1.31 P_a-{F}(V0), P_b-{F}(V1) | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #439: mergings( V1 == V2; #437 ), references = 1, size of lhs = 1:
% 1.10/1.31 P_a-{F}(V0) | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 #441: exists( #19, #437 ), references = 1, size of lhs = 0:
% 1.10/1.31 FALSE | FALSE
% 1.10/1.31 (used 0 times, uses = {})
% 1.10/1.31
% 1.10/1.31 number of learnt formulas = 53
% 1.10/1.31
% 1.10/1.31
% 1.10/1.31 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.10/1.31
% 1.10/1.31 randbase = 1
%------------------------------------------------------------------------------