TSTP Solution File: CAT004-4 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : CAT004-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n027.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 0.92s 1.08s
% Output : Refutation 0.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : CAT004-4 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n027.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 07:37:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.92/1.08 GeoParameters:
% 0.92/1.08
% 0.92/1.08 tptp_input = 1
% 0.92/1.08 tptp_output = 0
% 0.92/1.08 nonempty = 1
% 0.92/1.08 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.08 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.92/1.08
% 0.92/1.08
% 0.92/1.08 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.08 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.08
% 0.92/1.08 RuleSystem INPUT:
% 0.92/1.08
% 0.92/1.08 Initial Rules:
% 0.92/1.08 #0: input, references = 3, size of lhs = 1:
% 0.92/1.08 equivalent-{F}(V0,V1) | there_exists-{T}(V0)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #1: input, references = 3, size of lhs = 2:
% 0.92/1.08 equivalent-{F}(V0,V1), V0 == V1 | FALSE
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #2: input, references = 3, size of lhs = 1:
% 0.92/1.08 there_exists-{F}(V1) | equivalent-{T}(V1,V1)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #3: input, references = 4, size of lhs = 2:
% 0.92/1.08 P_domain-{F}(V0,V1), there_exists-{F}(V1) | there_exists-{T}(V0)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #4: input, references = 3, size of lhs = 2:
% 0.92/1.08 P_codomain-{F}(V0,V1), there_exists-{F}(V1) | there_exists-{T}(V0)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #5: input, references = 4, size of lhs = 3:
% 0.92/1.08 P_domain-{F}(V0,V1), P_compose-{F}(V0,V2,V3), there_exists-{F}(V3) | there_exists-{T}(V1)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #6: input, references = 8, size of lhs = 5:
% 0.92/1.08 P_compose-{F}(V0,V1,V2), P_domain-{F}(V0,V3), P_codomain-{F}(V1,V4), there_exists-{F}(V2), V3 == V4 | FALSE
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #7: input, references = 4, size of lhs = 4:
% 0.92/1.08 P_domain-{F}(V0,V3), there_exists-{F}(V3), P_codomain-{F}(V2,V3), P_compose-{F}(V0,V2,V4) | there_exists-{T}(V4)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #8: input, references = 5, size of lhs = 5:
% 0.92/1.08 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
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #9: input, references = 4, size of lhs = 3:
% 0.92/1.08 P_domain-{F}(V0,V1), P_compose-{F}(V0,V1,V2), V2 == V0 | FALSE
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #10: input, references = 4, size of lhs = 3:
% 0.92/1.08 P_codomain-{F}(V0,V1), P_compose-{F}(V1,V0,V2), V2 == V0 | FALSE
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #11: input, references = 5, size of lhs = 3:
% 0.92/1.08 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2) | there_exists-{T}(V2)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #12: input, references = 10, size of lhs = 6:
% 0.92/1.08 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
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #13: input, references = 6, size of lhs = 6:
% 0.92/1.08 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
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #14: input, references = 4, size of lhs = 4:
% 0.92/1.08 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_h-{F}(V3) | there_exists-{T}(V3)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #15: input, references = 5, size of lhs = 8:
% 0.92/1.08 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
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #16: input, references = 4, size of lhs = 7:
% 0.92/1.08 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
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #17: input, references = 5, size of lhs = 1:
% 0.92/1.08 #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #18: input, references = 6, size of lhs = 1:
% 0.92/1.08 #-{F} V0 | EXISTS V1: P_codomain-{T}(V0,V1)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #19: input, references = 28, size of lhs = 2:
% 0.92/1.08 #-{F} V0, #-{F} V1 | EXISTS V2: P_compose-{T}(V0,V1,V2)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #20: input, references = 4, size of lhs = 0:
% 0.92/1.08 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #21: input, references = 4, size of lhs = 0:
% 0.92/1.08 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #22: input, references = 5, size of lhs = 0:
% 0.92/1.08 FALSE | EXISTS V0: P_h-{T}(V0)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #23: input, references = 6, size of lhs = 0:
% 0.92/1.08 FALSE | EXISTS V0: P_g-{T}(V0)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 number of initial rules = 24
% 0.92/1.08
% 0.92/1.08 Simplifiers:
% 0.92/1.08 #24: unsound, references = 3, size of lhs = 2:
% 0.92/1.08 equivalent-{F}(V0,V1), V1 == V0 | FALSE
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #25: unsound, references = 3, size of lhs = 3:
% 0.92/1.08 P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #26: unsound, references = 3, size of lhs = 3:
% 0.92/1.08 P_codomain-{F}(V0,V1), P_codomain-{F}(V0,V3), V1 == V3 | FALSE
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #27: unsound, references = 3, size of lhs = 3:
% 0.92/1.08 P_compose-{F}(V0,V1,V2), P_compose-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #28: unsound, references = 3, size of lhs = 3:
% 0.92/1.08 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #29: unsound, references = 3, size of lhs = 3:
% 0.92/1.08 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #30: unsound, references = 3, size of lhs = 3:
% 0.92/1.08 P_h-{F}(V0), P_h-{F}(V1), V0 == V1 | FALSE
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #31: unsound, references = 3, size of lhs = 3:
% 0.92/1.08 P_g-{F}(V0), P_g-{F}(V1), V0 == V1 | FALSE
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 number of simplifiers = 8
% 0.92/1.08
% 0.92/1.08 Learnt:
% 0.92/1.08 #33: exists( #19, #9 ), references = 1, size of lhs = 1:
% 0.92/1.08 P_domain-{F}(V0,V1) | P_compose-{T}(V0,V1,V0)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #35: exists( #19, #8 ), references = 4, size of lhs = 3:
% 0.92/1.08 P_compose-{F}(V0,V1,V2), P_compose-{F}(V3,V0,V4), P_compose-{F}(V4,V1,V5) | P_compose-{T}(V3,V2,V5)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #37: exists( #19, #16 ), references = 1, size of lhs = 5:
% 0.92/1.08 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_h-{F}(V3), P_g-{F}(V3) | FALSE
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #39: exists( #19, #36 ), references = 3, size of lhs = 4:
% 0.92/1.08 P_a-{F}(V0), P_b-{F}(V1), P_h-{F}(V2), P_g-{F}(V2) | FALSE
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #44: exists( #19, #42 ), references = 1, size of lhs = 5:
% 0.92/1.08 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V0,V2), P_codomain-{F}(V1,V3), V2 == V3 | FALSE
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #46: exists( #18, #43 ), references = 1, size of lhs = 3:
% 0.92/1.08 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V0,V2) | P_codomain-{T}(V1,V2)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #48: exists( #19, #10 ), references = 1, size of lhs = 1:
% 0.92/1.08 P_codomain-{F}(V0,V1) | P_compose-{T}(V1,V0,V0)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #51: exists( #19, #15 ), references = 6, size of lhs = 6:
% 0.92/1.08 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)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #58: exists( #18, #6 ), references = 1, size of lhs = 3:
% 0.92/1.08 there_exists-{F}(V0), P_compose-{F}(V1,V2,V0), P_domain-{F}(V1,V3) | P_codomain-{T}(V2,V3)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #63: exists( #19, #15 ), references = 3, size of lhs = 6:
% 0.92/1.08 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)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #73: mergings( V6 == V8; #71 ), references = 1, size of lhs = 10:
% 0.92/1.08 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_h-{F}(V3), P_g-{F}(V4), there_exists-{F}(V5), P_domain-{F}(V3,V5), P_codomain-{F}(V2,V5), P_domain-{F}(V4,V6), V6 == V5 | FALSE
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #79: exists( #19, #77 ), references = 1, size of lhs = 10:
% 0.92/1.08 P_a-{F}(V0), P_b-{F}(V1), P_h-{F}(V2), P_domain-{F}(V2,V3), P_domain-{F}(V0,V3), P_domain-{F}(V4,V3), P_compose-{F}(V4,V0,V0), P_g-{F}(V5), P_domain-{F}(V5,V6), V6 == V3 | FALSE
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #81: exists( #17, #78 ), references = 1, size of lhs = 8:
% 0.92/1.08 P_a-{F}(V0), P_b-{F}(V1), P_h-{F}(V2), P_domain-{F}(V2,V3), P_domain-{F}(V0,V3), P_domain-{F}(V4,V3), P_compose-{F}(V4,V0,V0), P_g-{F}(V5) | P_domain-{T}(V5,V3)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #84: exists( #19, #8 ), references = 13, size of lhs = 3:
% 0.92/1.08 P_compose-{F}(V0,V1,V2), P_compose-{F}(V3,V2,V4), P_compose-{F}(V3,V0,V5) | P_compose-{T}(V5,V1,V4)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #100: mergings( V3 == V6, V4 == V7, V1 == V8; #95 ), references = 1, size of lhs = 8:
% 0.92/1.08 P_h-{F}(V0), P_g-{F}(V1), P_a-{F}(V2), P_compose-{F}(V2,V2,V3), P_b-{F}(V4), P_compose-{F}(V2,V4,V3), P_compose-{F}(V5,V2,V3), P_compose-{F}(V0,V5,V1) | P_compose-{T}(V1,V3,V1)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #104: mergings( V3 == V6, V4 == V7, V1 == V8; #96 ), references = 1, size of lhs = 8:
% 0.92/1.08 P_h-{F}(V0), P_g-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_compose-{F}(V3,V3,V4), P_compose-{F}(V2,V3,V4), P_compose-{F}(V5,V3,V4), P_compose-{F}(V0,V5,V1) | P_compose-{T}(V1,V4,V1)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #119: exists( #17, #6 ), references = 1, size of lhs = 3:
% 0.92/1.08 there_exists-{F}(V0), P_compose-{F}(V1,V2,V0), P_codomain-{F}(V2,V3) | P_domain-{T}(V1,V3)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #137: mergings( V3 == V6, V4 == V7, V1 == V8; #132 ), references = 1, size of lhs = 8:
% 0.92/1.08 P_h-{F}(V0), P_g-{F}(V1), P_compose-{F}(V1,V1,V1), P_a-{F}(V2), P_b-{F}(V3), P_compose-{F}(V2,V3,V4), P_compose-{F}(V5,V2,V4), P_compose-{F}(V0,V5,V4) | P_compose-{T}(V0,V4,V4)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #141: mergings( V3 == V6, V4 == V7, V1 == V8; #133 ), references = 1, size of lhs = 8:
% 0.92/1.08 P_h-{F}(V0), P_g-{F}(V1), P_compose-{F}(V1,V1,V1), P_a-{F}(V2), P_b-{F}(V3), P_compose-{F}(V2,V3,V4), P_compose-{F}(V5,V3,V4), P_compose-{F}(V0,V5,V4) | P_compose-{T}(V0,V4,V4)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #162: mergings( V3 == V6, V4 == V7, V1 == V8; #157 ), references = 4, size of lhs = 10:
% 0.92/1.08 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
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #166: mergings( V3 == V6, V4 == V7, V1 == V8; #158 ), references = 3, size of lhs = 10:
% 0.92/1.08 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,V3,V4), P_compose-{F}(V1,V5,V6), P_compose-{F}(V7,V3,V4), P_compose-{F}(V0,V7,V8), V8 == V6 | FALSE
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #172: mergings( V3 == V7, V4 == V8, V5 == V9; #167 ), references = 1, size of lhs = 8:
% 0.92/1.08 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}(V6,V2,V4), P_compose-{F}(V0,V6,V7) | P_compose-{T}(V1,V5,V7)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #176: mergings( V3 == V7, V4 == V8, V5 == V9; #168 ), references = 1, size of lhs = 8:
% 0.92/1.08 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,V3,V4), P_compose-{F}(V6,V3,V4), P_compose-{F}(V0,V6,V7) | P_compose-{T}(V1,V5,V7)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #181: exists( #19, #177 ), references = 1, size of lhs = 5:
% 0.92/1.08 P_h-{F}(V0), P_a-{F}(V0), P_b-{F}(V0), P_g-{F}(V1), V0 == V1 | FALSE
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #184: exists( #23, #179 ), references = 1, size of lhs = 3:
% 0.92/1.08 P_h-{F}(V0), P_a-{F}(V0), P_b-{F}(V0) | P_g-{T}(V0)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #190: exists( #19, #162 ), references = 1, size of lhs = 5:
% 0.92/1.08 P_h-{F}(V0), P_g-{F}(V1), P_a-{F}(V1), P_b-{F}(V1), P_compose-{F}(V0,V1,V2) | P_compose-{T}(V1,V1,V2)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #191: exists( #19, #12 ), references = 2, size of lhs = 5:
% 0.92/1.08 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V2,V0,V3), P_compose-{F}(V4,V0,V3), V4 == V2 | FALSE
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #225: mergings( V1 == V7; #222 ), references = 2, size of lhs = 7:
% 0.92/1.08 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-{T}(V0,V5,V6)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #226: exists( #19, #166 ), references = 1, size of lhs = 8:
% 0.92/1.08 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,V3,V4), P_compose-{F}(V1,V5,V6), P_compose-{F}(V7,V3,V4) | P_compose-{T}(V0,V7,V6)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #233: exists( #19, #228 ), references = 1, size of lhs = 5:
% 0.92/1.08 P_h-{F}(V0), P_g-{F}(V1), V1 == V0, P_a-{F}(V1), P_b-{F}(V1) | FALSE
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #239: exists( #19, #162 ), references = 1, size of lhs = 7:
% 0.92/1.08 P_h-{F}(V0), P_g-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_compose-{F}(V1,V2,V3), P_compose-{F}(V0,V2,V4), V4 == V3 | FALSE
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #240: exists( #19, #166 ), references = 1, size of lhs = 7:
% 0.92/1.08 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}(V0,V2,V5), V5 == V4 | FALSE
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #243: exists( #19, #237 ), references = 1, size of lhs = 5:
% 0.92/1.08 P_h-{F}(V0), P_g-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_compose-{F}(V0,V2,V3) | P_compose-{T}(V1,V2,V3)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #244: exists( #19, #238 ), references = 2, size of lhs = 5:
% 0.92/1.08 P_h-{F}(V0), P_g-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_compose-{F}(V0,V2,V4) | P_compose-{T}(V1,V2,V4)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #258: exists( #19, #256 ), references = 2, size of lhs = 8:
% 0.92/1.08 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
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #282: mergings( V5 == V3; #279 ), references = 1, size of lhs = 6:
% 0.92/1.08 P_h-{F}(V0), P_g-{F}(V1), V1 == V0, P_a-{F}(V2), P_b-{F}(V2), P_compose-{F}(V1,V2,V3) | FALSE
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #289: exists( #19, #279 ), references = 1, size of lhs = 5:
% 0.92/1.08 P_h-{F}(V0), P_g-{F}(V1), V1 == V0, P_a-{F}(V2), P_b-{F}(V2) | FALSE
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #293: exists( #23, #286 ), references = 1, size of lhs = 3:
% 0.92/1.08 P_h-{F}(V0), P_a-{F}(V1), P_b-{F}(V1) | P_g-{T}(V0)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #298: mergings( V1 == V2, V2 == V3; #295 ), references = 1, size of lhs = 2:
% 0.92/1.08 P_a-{F}(V0), P_b-{F}(V0) | FALSE
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #302: exists( #18, #258 ), references = 1, size of lhs = 6:
% 0.92/1.08 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-{T}(V5,V6)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #312: mergings( V4 == V5; #310 ), references = 1, size of lhs = 5:
% 0.92/1.08 P_h-{F}(V0), P_g-{F}(V1), V0 == V1, P_a-{F}(V2), P_b-{F}(V3) | FALSE
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #315: mergings( V2 == V4; #313 ), references = 1, size of lhs = 3:
% 0.92/1.08 P_h-{F}(V0), P_a-{F}(V1), P_b-{F}(V2) | P_g-{T}(V0)
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #321: mergings( V2 == V4, V1 == V3, V3 == V5; #317 ), references = 1, size of lhs = 2:
% 0.92/1.08 P_a-{F}(V0), P_b-{F}(V1) | FALSE
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #324: mergings( V1 == V2; #322 ), references = 1, size of lhs = 1:
% 0.92/1.08 P_a-{F}(V0) | FALSE
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 #326: exists( #20, #322 ), references = 1, size of lhs = 0:
% 0.92/1.08 FALSE | FALSE
% 0.92/1.08 (used 0 times, uses = {})
% 0.92/1.08
% 0.92/1.08 number of learnt formulas = 45
% 0.92/1.08
% 0.92/1.08
% 0.92/1.08 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.08
% 0.92/1.08 randbase = 1
%------------------------------------------------------------------------------