TSTP Solution File: CAT004-3 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : CAT004-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 0.69s 0.91s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CAT004-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n029.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 07:30:10 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.69/0.91 GeoParameters:
% 0.69/0.91
% 0.69/0.91 tptp_input = 1
% 0.69/0.91 tptp_output = 0
% 0.69/0.91 nonempty = 1
% 0.69/0.91 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.91 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.69/0.91
% 0.69/0.91
% 0.69/0.91 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.91 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.91
% 0.69/0.91 RuleSystem INPUT:
% 0.69/0.91
% 0.69/0.91 Initial Rules:
% 0.69/0.91 #0: input, references = 3, size of lhs = 1:
% 0.69/0.91 equivalent-{F}(V0,V1) | there_exists-{T}(V0)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #1: input, references = 3, size of lhs = 2:
% 0.69/0.91 equivalent-{F}(V0,V1), V0 == V1 | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #2: input, references = 3, size of lhs = 1:
% 0.69/0.91 there_exists-{F}(V1) | equivalent-{T}(V1,V1)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #3: input, references = 3, size of lhs = 2:
% 0.69/0.91 P_domain-{F}(V0,V1), there_exists-{F}(V1) | there_exists-{T}(V0)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #4: input, references = 3, size of lhs = 2:
% 0.69/0.91 P_codomain-{F}(V0,V1), there_exists-{F}(V1) | there_exists-{T}(V0)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #5: input, references = 3, size of lhs = 3:
% 0.69/0.91 P_domain-{F}(V0,V1), P_compose-{F}(V0,V2,V3), there_exists-{F}(V3) | there_exists-{T}(V1)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #6: input, references = 8, size of lhs = 5:
% 0.69/0.91 P_compose-{F}(V0,V1,V2), P_domain-{F}(V0,V3), P_codomain-{F}(V1,V4), there_exists-{F}(V2), V3 == V4 | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #7: input, references = 3, size of lhs = 4:
% 0.69/0.91 P_domain-{F}(V0,V3), there_exists-{F}(V3), P_codomain-{F}(V2,V3), P_compose-{F}(V0,V2,V4) | there_exists-{T}(V4)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #8: input, references = 5, size of lhs = 5:
% 0.69/0.91 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
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #9: input, references = 4, size of lhs = 3:
% 0.69/0.91 P_domain-{F}(V0,V1), P_compose-{F}(V0,V1,V2), V2 == V0 | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #10: input, references = 4, size of lhs = 3:
% 0.69/0.91 P_codomain-{F}(V0,V1), P_compose-{F}(V1,V0,V2), V2 == V0 | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #11: input, references = 3, size of lhs = 1:
% 0.69/0.91 equivalent-{F}(V1,V0) | there_exists-{T}(V0)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #12: input, references = 3, size of lhs = 1:
% 0.69/0.91 there_exists-{F}(V0) | equivalent-{T}(V0,V0)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #13: input, references = 3, size of lhs = 3:
% 0.69/0.91 P_codomain-{F}(V0,V1), P_compose-{F}(V0,V2,V3), there_exists-{F}(V3) | there_exists-{T}(V1)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #14: input, references = 3, size of lhs = 2:
% 0.69/0.91 P_f1-{F}(V0,V1,V2), V0 == V1 | there_exists-{T}(V2)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #15: input, references = 4, size of lhs = 4:
% 0.69/0.91 P_f1-{F}(V0,V1,V2), V0 == V2, V1 == V2, V0 == V1 | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #16: input, references = 5, size of lhs = 3:
% 0.69/0.91 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2) | there_exists-{T}(V2)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #17: input, references = 6, size of lhs = 6:
% 0.69/0.91 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_compose-{F}(V4,V0,V3), P_compose-{F}(V6,V0,V3), V6 == V4 | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #18: input, references = 6, size of lhs = 6:
% 0.69/0.91 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_compose-{F}(V4,V1,V3), P_compose-{F}(V6,V1,V3), V6 == V4 | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #19: input, references = 3, size of lhs = 4:
% 0.69/0.91 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_h-{F}(V3) | there_exists-{T}(V3)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #20: input, references = 5, size of lhs = 8:
% 0.69/0.91 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_h-{F}(V3), P_compose-{F}(V3,V2,V4), P_g-{F}(V5), P_compose-{F}(V5,V2,V6), V4 == V6 | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #21: input, references = 4, size of lhs = 7:
% 0.69/0.91 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_h-{F}(V5), P_compose-{F}(V5,V2,V4), P_g-{F}(V5), P_compose-{F}(V5,V2,V6) | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #22: input, references = 5, size of lhs = 1:
% 0.69/0.91 #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #23: input, references = 7, size of lhs = 1:
% 0.69/0.91 #-{F} V0 | EXISTS V1: P_codomain-{T}(V0,V1)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #24: input, references = 22, size of lhs = 2:
% 0.69/0.91 #-{F} V0, #-{F} V1 | EXISTS V2: P_compose-{T}(V0,V1,V2)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #25: input, references = 4, size of lhs = 2:
% 0.69/0.91 #-{F} V0, #-{F} V1 | EXISTS V2: P_f1-{T}(V0,V1,V2)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #26: input, references = 4, size of lhs = 0:
% 0.69/0.91 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #27: input, references = 4, size of lhs = 0:
% 0.69/0.91 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #28: input, references = 4, size of lhs = 0:
% 0.69/0.91 FALSE | EXISTS V0: P_h-{T}(V0)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #29: input, references = 4, size of lhs = 0:
% 0.69/0.91 FALSE | EXISTS V0: P_g-{T}(V0)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 number of initial rules = 30
% 0.69/0.91
% 0.69/0.91 Simplifiers:
% 0.69/0.91 #30: unsound, references = 3, size of lhs = 2:
% 0.69/0.91 equivalent-{F}(V0,V1), V1 == V0 | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #31: unsound, references = 3, size of lhs = 3:
% 0.69/0.91 P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #32: unsound, references = 3, size of lhs = 3:
% 0.69/0.91 P_codomain-{F}(V0,V1), P_codomain-{F}(V0,V3), V1 == V3 | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #33: unsound, references = 3, size of lhs = 3:
% 0.69/0.91 P_compose-{F}(V0,V1,V2), P_compose-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #34: unsound, references = 3, size of lhs = 3:
% 0.69/0.91 P_f1-{F}(V0,V1,V2), P_f1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #35: unsound, references = 3, size of lhs = 3:
% 0.69/0.91 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #36: unsound, references = 3, size of lhs = 3:
% 0.69/0.91 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #37: unsound, references = 3, size of lhs = 3:
% 0.69/0.91 P_h-{F}(V0), P_h-{F}(V1), V0 == V1 | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #38: unsound, references = 3, size of lhs = 3:
% 0.69/0.91 P_g-{F}(V0), P_g-{F}(V1), V0 == V1 | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 number of simplifiers = 9
% 0.69/0.91
% 0.69/0.91 Learnt:
% 0.69/0.91 #42: exists( #25, #15 ), references = 1, size of lhs = 3:
% 0.69/0.91 #-{F} V0, #-{F} V1, V0 == V1 | P_f1-{T}(V0,V1,V0), P_f1-{T}(V0,V1,V1)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #44: exists( #24, #10 ), references = 2, size of lhs = 1:
% 0.69/0.91 P_codomain-{F}(V0,V1) | P_compose-{T}(V1,V0,V0)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #47: exists( #24, #9 ), references = 1, size of lhs = 1:
% 0.69/0.91 P_domain-{F}(V0,V1) | P_compose-{T}(V0,V1,V0)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #49: exists( #24, #20 ), references = 1, size of lhs = 6:
% 0.69/0.91 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,V2,V5) | P_compose-{T}(V3,V2,V5)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #53: exists( #23, #6 ), references = 1, size of lhs = 3:
% 0.69/0.91 there_exists-{F}(V0), P_compose-{F}(V1,V2,V0), P_domain-{F}(V1,V3) | P_codomain-{T}(V2,V3)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #58: exists( #24, #56 ), references = 1, size of lhs = 5:
% 0.69/0.91 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V0,V2), P_codomain-{F}(V1,V3), V2 == V3 | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #60: exists( #22, #57 ), references = 1, size of lhs = 3:
% 0.69/0.91 P_a-{F}(V0), P_b-{F}(V1), P_codomain-{F}(V1,V2) | P_domain-{T}(V0,V2)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #63: exists( #23, #61 ), references = 1, size of lhs = 5:
% 0.69/0.91 P_a-{F}(V0), P_b-{F}(V1), there_exists-{F}(V2), P_compose-{F}(V0,V3,V2), P_codomain-{F}(V3,V4) | P_codomain-{T}(V1,V4)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #73: exists( #24, #8 ), references = 10, size of lhs = 3:
% 0.69/0.91 P_compose-{F}(V0,V1,V2), P_compose-{F}(V3,V2,V4), P_compose-{F}(V3,V0,V5) | P_compose-{T}(V5,V1,V4)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #79: exists( #22, #6 ), references = 1, size of lhs = 3:
% 0.69/0.91 there_exists-{F}(V0), P_compose-{F}(V1,V2,V0), P_codomain-{F}(V2,V3) | P_domain-{T}(V1,V3)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #84: exists( #24, #82 ), references = 1, size of lhs = 7:
% 0.69/0.91 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V2,V1,V3), P_compose-{F}(V4,V2,V0), P_domain-{F}(V4,V5), P_codomain-{F}(V3,V6), V5 == V6 | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #86: exists( #23, #83 ), references = 1, size of lhs = 5:
% 0.69/0.91 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V2,V1,V3), P_compose-{F}(V4,V2,V0), P_domain-{F}(V4,V5) | P_codomain-{T}(V3,V5)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #92: exists( #24, #8 ), references = 7, size of lhs = 3:
% 0.69/0.91 P_compose-{F}(V0,V1,V2), P_compose-{F}(V3,V0,V4), P_compose-{F}(V4,V1,V5) | P_compose-{T}(V3,V2,V5)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #94: exists( #24, #20 ), references = 5, size of lhs = 6:
% 0.69/0.91 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_h-{F}(V3), P_compose-{F}(V3,V2,V4), P_g-{F}(V5) | P_compose-{T}(V5,V2,V4)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #102: mergings( V3 == V1, V4 == V8, V5 == V9; #98 ), references = 1, size of lhs = 10:
% 0.69/0.91 P_h-{F}(V0), P_g-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_compose-{F}(V2,V3,V4), P_compose-{F}(V5,V2,V4), P_compose-{F}(V1,V5,V6), P_compose-{F}(V7,V2,V4), P_compose-{F}(V0,V7,V8), V8 == V6 | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #105: exists( #24, #103 ), references = 1, size of lhs = 7:
% 0.69/0.91 P_h-{F}(V0), P_g-{F}(V1), P_a-{F}(V1), P_b-{F}(V2), P_compose-{F}(V0,V2,V3), P_compose-{F}(V4,V2,V1), P_compose-{F}(V2,V4,V1) | P_compose-{T}(V2,V1,V3)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #119: exists( #24, #18 ), references = 4, size of lhs = 5:
% 0.69/0.91 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V2,V1,V3), P_compose-{F}(V4,V1,V3), V4 == V2 | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #123: exists( #24, #17 ), references = 1, size of lhs = 5:
% 0.69/0.91 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V2,V0,V3), P_compose-{F}(V4,V0,V3), V4 == V2 | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #137: mergings( V8 == V6, V10 == V6; #134 ), references = 1, size of lhs = 9:
% 0.69/0.91 P_h-{F}(V0), P_g-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_compose-{F}(V4,V1,V0), P_compose-{F}(V0,V2,V5), P_compose-{F}(V4,V5,V6), V5 == V6, P_compose-{F}(V5,V3,V7) | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #142: mergings( V0 == V5, V1 == V6, V10 == V8, V12 == V8; #133 ), references = 1, size of lhs = 9:
% 0.69/0.91 P_h-{F}(V0), P_g-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_compose-{F}(V4,V1,V0), P_compose-{F}(V0,V2,V5), P_compose-{F}(V4,V5,V6), V5 == V6, P_compose-{F}(V5,V3,V7) | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #169: mergings( V3 == V8, V4 == V9, V10 == V8, V12 == V8; #163 ), references = 1, size of lhs = 10:
% 0.69/0.91 P_h-{F}(V0), P_g-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_compose-{F}(V1,V2,V4), P_compose-{F}(V2,V3,V5), P_compose-{F}(V0,V2,V6), V6 == V4, P_compose-{F}(V7,V3,V8), P_compose-{F}(V9,V7,V6) | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #175: mergings( V3 == V8, V4 == V9, V5 == V10, V11 == V8, V13 == V8; #164 ), references = 1, size of lhs = 10:
% 0.69/0.91 P_h-{F}(V0), P_g-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_compose-{F}(V1,V2,V4), P_compose-{F}(V2,V3,V5), P_compose-{F}(V0,V2,V6), V6 == V4, P_compose-{F}(V7,V3,V8), P_compose-{F}(V9,V7,V6) | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #182: mergings( V3 == V7, V4 == V8, V1 == V7, V9 == V7; #176 ), references = 1, size of lhs = 8:
% 0.69/0.91 P_h-{F}(V0), P_g-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_compose-{F}(V2,V3,V4), P_compose-{F}(V0,V2,V5), P_compose-{F}(V6,V3,V7), P_compose-{F}(V8,V6,V5) | P_compose-{T}(V1,V2,V5)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #188: mergings( V3 == V7, V4 == V8, V5 == V9, V1 == V7, V10 == V7; #177 ), references = 1, size of lhs = 8:
% 0.69/0.91 P_h-{F}(V0), P_g-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_compose-{F}(V2,V3,V4), P_compose-{F}(V0,V2,V5), P_compose-{F}(V6,V3,V7), P_compose-{F}(V8,V6,V5) | P_compose-{T}(V1,V2,V5)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #196: mergings( V5 == V0, V7 == V3, V8 == V3; #192 ), references = 1, size of lhs = 6:
% 0.69/0.91 P_h-{F}(V0), P_g-{F}(V1), V0 == V1, P_a-{F}(V2), P_b-{F}(V3), P_compose-{F}(V0,V2,V4) | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #203: mergings( V4 == V1; #200 ), references = 1, size of lhs = 5:
% 0.69/0.91 P_h-{F}(V0), P_g-{F}(V1), V0 == V1, P_a-{F}(V2), P_b-{F}(V3) | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #207: mergings( V2 == V3; #204 ), references = 1, size of lhs = 3:
% 0.69/0.91 P_h-{F}(V0), P_a-{F}(V1), P_b-{F}(V2) | P_g-{T}(V0)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #212: exists( #24, #21 ), references = 2, size of lhs = 5:
% 0.69/0.91 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_h-{F}(V3), P_g-{F}(V3) | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #217: exists( #23, #215 ), references = 1, size of lhs = 3:
% 0.69/0.91 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V2,V1,V1) | P_codomain-{T}(V1,V2)
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #230: exists( #24, #212 ), references = 1, size of lhs = 4:
% 0.69/0.91 P_a-{F}(V0), P_b-{F}(V1), P_h-{F}(V2), P_g-{F}(V2) | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #236: mergings( V1 == V2, V2 == V4, V3 == V5; #232 ), references = 1, size of lhs = 2:
% 0.69/0.91 P_a-{F}(V0), P_b-{F}(V1) | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #240: mergings( V1 == V2, V2 == V3; #237 ), references = 1, size of lhs = 1:
% 0.69/0.91 P_a-{F}(V0) | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 #242: exists( #26, #237 ), references = 1, size of lhs = 0:
% 0.69/0.91 FALSE | FALSE
% 0.69/0.91 (used 0 times, uses = {})
% 0.69/0.91
% 0.69/0.91 number of learnt formulas = 33
% 0.69/0.91
% 0.69/0.91
% 0.69/0.91 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.91
% 0.69/0.91 randbase = 1
%------------------------------------------------------------------------------