TSTP Solution File: CAT010-4 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : CAT010-4 : 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 05:58:49 EDT 2022
% Result : Unsatisfiable 0.18s 0.59s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : CAT010-4 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13 % 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 07:19:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.59 GeoParameters:
% 0.18/0.59
% 0.18/0.59 tptp_input = 1
% 0.18/0.59 tptp_output = 0
% 0.18/0.59 nonempty = 1
% 0.18/0.59 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.59 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.59
% 0.18/0.59
% 0.18/0.59 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.59 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.59
% 0.18/0.59 RuleSystem INPUT:
% 0.18/0.59
% 0.18/0.59 Initial Rules:
% 0.18/0.59 #0: input, references = 3, size of lhs = 1:
% 0.18/0.59 equivalent-{F}(V0,V1) | there_exists-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #1: input, references = 3, size of lhs = 2:
% 0.18/0.59 equivalent-{F}(V0,V1), V0 == V1 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #2: input, references = 3, size of lhs = 1:
% 0.18/0.59 there_exists-{F}(V1) | equivalent-{T}(V1,V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #3: input, references = 7, size of lhs = 2:
% 0.18/0.59 P_domain-{F}(V0,V1), there_exists-{F}(V1) | there_exists-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #4: input, references = 4, size of lhs = 2:
% 0.18/0.59 P_codomain-{F}(V0,V1), there_exists-{F}(V1) | there_exists-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #5: input, references = 6, size of lhs = 3:
% 0.18/0.59 P_domain-{F}(V0,V1), P_compose-{F}(V0,V2,V3), there_exists-{F}(V3) | there_exists-{T}(V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #6: input, references = 9, size of lhs = 5:
% 0.18/0.59 P_compose-{F}(V0,V1,V2), P_domain-{F}(V0,V3), P_codomain-{F}(V1,V4), there_exists-{F}(V2), V3 == V4 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #7: input, references = 3, size of lhs = 4:
% 0.18/0.59 P_domain-{F}(V0,V3), there_exists-{F}(V3), P_codomain-{F}(V2,V3), P_compose-{F}(V0,V2,V4) | there_exists-{T}(V4)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #8: input, references = 5, size of lhs = 5:
% 0.18/0.59 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
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #9: input, references = 5, size of lhs = 3:
% 0.18/0.59 P_domain-{F}(V0,V1), P_compose-{F}(V0,V1,V2), V2 == V0 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #10: input, references = 4, size of lhs = 3:
% 0.18/0.59 P_codomain-{F}(V0,V1), P_compose-{F}(V1,V0,V2), V2 == V0 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #11: input, references = 8, size of lhs = 3:
% 0.18/0.59 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2) | there_exists-{T}(V2)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #12: input, references = 5, size of lhs = 5:
% 0.18/0.59 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_codomain-{F}(V2,V4), P_codomain-{F}(V0,V4) | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #13: input, references = 8, size of lhs = 1:
% 0.18/0.59 #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #14: input, references = 8, size of lhs = 1:
% 0.18/0.59 #-{F} V0 | EXISTS V1: P_codomain-{T}(V0,V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #15: input, references = 12, size of lhs = 2:
% 0.18/0.59 #-{F} V0, #-{F} V1 | EXISTS V2: P_compose-{T}(V0,V1,V2)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #16: input, references = 4, size of lhs = 0:
% 0.18/0.59 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #17: input, references = 4, size of lhs = 0:
% 0.18/0.59 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 number of initial rules = 18
% 0.18/0.59
% 0.18/0.59 Simplifiers:
% 0.18/0.59 #18: unsound, references = 3, size of lhs = 2:
% 0.18/0.59 equivalent-{F}(V0,V1), V1 == V0 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #19: unsound, references = 3, size of lhs = 3:
% 0.18/0.59 P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #20: unsound, references = 3, size of lhs = 3:
% 0.18/0.59 P_codomain-{F}(V0,V1), P_codomain-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #21: unsound, references = 3, size of lhs = 3:
% 0.18/0.59 P_compose-{F}(V0,V1,V2), P_compose-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #22: unsound, references = 3, size of lhs = 3:
% 0.18/0.59 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #23: unsound, references = 3, size of lhs = 3:
% 0.18/0.59 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 number of simplifiers = 6
% 0.18/0.59
% 0.18/0.59 Learnt:
% 0.18/0.59 #25: exists( #15, #10 ), references = 3, size of lhs = 1:
% 0.18/0.59 P_codomain-{F}(V0,V1) | P_compose-{T}(V1,V0,V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #28: exists( #14, #26 ), references = 1, size of lhs = 3:
% 0.18/0.59 P_codomain-{F}(V0,V1), V0 == V1, P_domain-{F}(V1,V0) | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #32: exists( #15, #9 ), references = 1, size of lhs = 1:
% 0.18/0.59 P_domain-{F}(V0,V1) | P_compose-{T}(V0,V1,V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #34: exists( #15, #8 ), references = 1, size of lhs = 3:
% 0.18/0.59 P_compose-{F}(V0,V1,V2), P_compose-{F}(V3,V2,V4), P_compose-{F}(V3,V0,V5) | P_compose-{T}(V5,V1,V4)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #36: exists( #14, #6 ), references = 2, size of lhs = 3:
% 0.18/0.59 there_exists-{F}(V0), P_compose-{F}(V1,V2,V0), P_domain-{F}(V1,V3) | P_codomain-{T}(V2,V3)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #50: exists( #15, #48 ), references = 1, size of lhs = 5:
% 0.18/0.59 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V0,V2), P_codomain-{F}(V1,V3), V2 == V3 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #52: exists( #14, #49 ), references = 2, size of lhs = 3:
% 0.18/0.59 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V0,V2) | P_codomain-{T}(V1,V2)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #64: exists( #15, #62 ), references = 1, size of lhs = 9:
% 0.18/0.59 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
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #68: mergings( V2 == V3; #66 ), references = 1, size of lhs = 5:
% 0.18/0.59 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)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #74: exists( #15, #8 ), references = 2, size of lhs = 3:
% 0.18/0.59 P_compose-{F}(V0,V1,V2), P_compose-{F}(V3,V0,V4), P_compose-{F}(V4,V1,V5) | P_compose-{T}(V3,V2,V5)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #83: exists( #15, #81 ), references = 2, size of lhs = 8:
% 0.18/0.59 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
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #94: exists( #15, #92 ), references = 1, size of lhs = 9:
% 0.18/0.59 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
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #96: exists( #13, #93 ), references = 1, size of lhs = 5:
% 0.18/0.59 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)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #108: exists( #13, #83 ), references = 2, size of lhs = 6:
% 0.18/0.59 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)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #109: exists( #13, #6 ), references = 1, size of lhs = 3:
% 0.18/0.59 there_exists-{F}(V0), P_compose-{F}(V1,V2,V0), P_codomain-{F}(V2,V3) | P_domain-{T}(V1,V3)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #118: exists( #15, #116 ), references = 2, size of lhs = 5:
% 0.18/0.59 P_a-{F}(V0), P_b-{F}(V1), P_codomain-{F}(V0,V2), P_domain-{F}(V3,V2), P_compose-{F}(V3,V0,V0) | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #125: mergings( V0 == V2, V2 == V3; #122 ), references = 1, size of lhs = 2:
% 0.18/0.59 P_a-{F}(V0), P_b-{F}(V0) | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #127: exists( #14, #12 ), references = 1, size of lhs = 3:
% 0.18/0.59 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V0) | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #148: mergings( V2 == V0, V3 == V5; #145 ), references = 1, size of lhs = 3:
% 0.18/0.59 P_a-{F}(V0), P_domain-{F}(V0,V1), P_b-{F}(V2) | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #151: mergings( V2 == V3; #149 ), references = 1, size of lhs = 2:
% 0.18/0.59 P_a-{F}(V0), P_b-{F}(V1) | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #153: exists( #17, #149 ), references = 1, size of lhs = 1:
% 0.18/0.59 P_a-{F}(V0) | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #155: exists( #16, #152 ), references = 1, size of lhs = 0:
% 0.18/0.59 FALSE | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 number of learnt formulas = 22
% 0.18/0.59
% 0.18/0.59
% 0.18/0.59 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.59
% 0.18/0.59 randbase = 1
%------------------------------------------------------------------------------