TSTP Solution File: SEU263+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU263+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.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 06:17:39 EDT 2022
% Result : Theorem 3.16s 3.38s
% Output : Refutation 3.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU263+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n010.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 19:02:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.16/3.38 GeoParameters:
% 3.16/3.38
% 3.16/3.38 tptp_input = 1
% 3.16/3.38 tptp_output = 0
% 3.16/3.38 nonempty = 1
% 3.16/3.38 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.16/3.38 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 3.16/3.38
% 3.16/3.38
% 3.16/3.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.16/3.38 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.16/3.38
% 3.16/3.38 RuleSystem INPUT:
% 3.16/3.38
% 3.16/3.38 Initial Rules:
% 3.16/3.38 #0: input, references = 6, size of lhs = 3:
% 3.16/3.38 P_cartesian_product2-{F}(V2,V1,V3), P_powerset-{F}(V3,V4), element-{F}(V0,V4) | relation-{T}(V0)
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #1: input, references = 9, size of lhs = 2:
% 3.16/3.38 P_cartesian_product2-{F}(V0,V1,V3), relation_of2-{F}(V2,V0,V1) | subset-{T}(V2,V3)
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #2: input, references = 13, size of lhs = 2:
% 3.16/3.38 P_cartesian_product2-{F}(V0,V1,V3), subset-{F}(V2,V3) | relation_of2-{T}(V2,V0,V1)
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #3: input, references = 3, size of lhs = 3:
% 3.16/3.38 P_cartesian_product2-{F}(V0,V1,V3), P_powerset-{F}(V3,V4), relation_of2_as_subset-{F}(V2,V0,V1) | element-{T}(V2,V4)
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #4: input, references = 3, size of lhs = 2:
% 3.16/3.38 #-{F} V0, #-{F} V1 | EXISTS V2: pppp0-{T}(V0,V1,V2)
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #5: input, references = 3, size of lhs = 1:
% 3.16/3.38 pppp0-{F}(V0,V1,V2) | relation_of2-{T}(V2,V0,V1)
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #6: input, references = 3, size of lhs = 1:
% 3.16/3.38 #-{F} V0 | EXISTS V1: pppp1-{T}(V0,V1)
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #7: input, references = 3, size of lhs = 1:
% 3.16/3.38 pppp1-{F}(V0,V1) | element-{T}(V1,V0)
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #8: input, references = 3, size of lhs = 2:
% 3.16/3.38 #-{F} V0, #-{F} V1 | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #9: input, references = 3, size of lhs = 1:
% 3.16/3.38 pppp2-{F}(V0,V1,V2) | relation_of2_as_subset-{T}(V2,V0,V1)
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #10: input, references = 4, size of lhs = 1:
% 3.16/3.38 relation_of2_as_subset-{F}(V2,V0,V1) | relation_of2-{T}(V2,V0,V1)
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #11: input, references = 8, size of lhs = 1:
% 3.16/3.38 relation_of2-{F}(V2,V0,V1) | relation_of2_as_subset-{T}(V2,V0,V1)
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #12: input, references = 6, size of lhs = 1:
% 3.16/3.38 #-{F} V0 | subset-{T}(V0,V0)
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #13: input, references = 8, size of lhs = 4:
% 3.16/3.38 subset-{F}(V0,V1), P_cartesian_product2-{F}(V3,V0,V4), P_cartesian_product2-{F}(V2,V1,V5), subset-{F}(V3,V2) | subset-{T}(V4,V5)
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #14: input, references = 17, size of lhs = 3:
% 3.16/3.38 P_relation_dom-{F}(V2,V3), P_relation_rng-{F}(V2,V4), relation_of2_as_subset-{F}(V2,V0,V1) | subset-{T}(V3,V0)
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #15: input, references = 5, size of lhs = 3:
% 3.16/3.38 P_relation_dom-{F}(V2,V3), P_relation_rng-{F}(V2,V4), relation_of2_as_subset-{F}(V2,V0,V1) | subset-{T}(V4,V1)
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #16: input, references = 4, size of lhs = 0:
% 3.16/3.38 FALSE | EXISTS V0: pppp6-{T}(V0)
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #17: input, references = 4, size of lhs = 1:
% 3.16/3.38 pppp6-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #18: input, references = 6, size of lhs = 2:
% 3.16/3.38 pppp5-{F}(V0,V1), P_relation_rng-{F}(V1,V2) | EXISTS V3: pppp4-{T}(V0,V3,V1,V2)
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #19: input, references = 9, size of lhs = 2:
% 3.16/3.38 pppp5-{F}(V0,V1), P_relation_rng-{F}(V1,V2) | EXISTS V3: pppp3-{T}(V0,V1,V3)
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #20: input, references = 5, size of lhs = 2:
% 3.16/3.38 pppp4-{F}(V0,V1,V2,V3), relation_of2_as_subset-{F}(V2,V0,V1) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #21: input, references = 6, size of lhs = 1:
% 3.16/3.38 pppp4-{F}(V0,V1,V2,V3) | subset-{T}(V3,V1)
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #22: input, references = 17, size of lhs = 1:
% 3.16/3.38 pppp3-{F}(V0,V1,V2) | relation_of2_as_subset-{T}(V1,V0,V2)
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #23: input, references = 11, size of lhs = 2:
% 3.16/3.38 subset-{F}(V0,V1), subset-{F}(V2,V0) | subset-{T}(V2,V1)
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #24: input, references = 6, size of lhs = 4:
% 3.16/3.38 P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2), P_cartesian_product2-{F}(V1,V2,V3), relation-{F}(V0) | subset-{T}(V0,V3)
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #25: input, references = 3, size of lhs = 2:
% 3.16/3.38 P_powerset-{F}(V1,V2), element-{F}(V0,V2) | subset-{T}(V0,V1)
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #26: input, references = 6, size of lhs = 2:
% 3.16/3.38 P_powerset-{F}(V1,V2), subset-{F}(V0,V1) | element-{T}(V0,V2)
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #27: input, references = 5, size of lhs = 1:
% 3.16/3.38 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #28: input, references = 14, size of lhs = 2:
% 3.16/3.38 #-{F} V0, #-{F} V1 | EXISTS V2: P_cartesian_product2-{T}(V0,V1,V2)
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #29: input, references = 5, size of lhs = 1:
% 3.16/3.38 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #30: input, references = 8, size of lhs = 1:
% 3.16/3.38 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 number of initial rules = 31
% 3.16/3.38
% 3.16/3.38 Simplifiers:
% 3.16/3.38 #31: unsound, references = 3, size of lhs = 3:
% 3.16/3.38 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #32: unsound, references = 3, size of lhs = 3:
% 3.16/3.38 P_cartesian_product2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #33: unsound, references = 3, size of lhs = 3:
% 3.16/3.38 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #34: unsound, references = 3, size of lhs = 3:
% 3.16/3.38 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #35: unsound, references = 3, size of lhs = 3:
% 3.16/3.38 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #36: unsound, references = 3, size of lhs = 3:
% 3.16/3.38 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #37: unsound, references = 3, size of lhs = 3:
% 3.16/3.38 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #38: unsound, references = 3, size of lhs = 3:
% 3.16/3.38 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #39: unsound, references = 3, size of lhs = 3:
% 3.16/3.38 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V4,V5), V1 == V4 | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #40: unsound, references = 3, size of lhs = 3:
% 3.16/3.38 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V0 == V3 | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #41: unsound, references = 3, size of lhs = 3:
% 3.16/3.38 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #42: unsound, references = 3, size of lhs = 3:
% 3.16/3.38 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V5,V6,V7), V2 == V6 | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #43: unsound, references = 3, size of lhs = 3:
% 3.16/3.38 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #44: unsound, references = 3, size of lhs = 3:
% 3.16/3.38 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V2,V7), V3 == V7 | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #45: unsound, references = 3, size of lhs = 3:
% 3.16/3.38 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #46: unsound, references = 3, size of lhs = 3:
% 3.16/3.38 pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V0 == V2 | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #47: unsound, references = 3, size of lhs = 3:
% 3.16/3.38 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 number of simplifiers = 17
% 3.16/3.38
% 3.16/3.38 Learnt:
% 3.16/3.38 #55: exists( #28, #53 ), references = 2, size of lhs = 4:
% 3.16/3.38 subset-{F}(V0,V1), P_cartesian_product2-{F}(V2,V0,V3), subset-{F}(V2,V4), pppp4-{F}(V4,V1,V3,V5) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #58: exists( #18, #56 ), references = 1, size of lhs = 4:
% 3.16/3.38 subset-{F}(V0,V1), pppp5-{F}(V1,V2), P_relation_rng-{F}(V2,V3), P_cartesian_product2-{F}(V0,V3,V2) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #62: exists( #18, #60 ), references = 2, size of lhs = 5:
% 3.16/3.38 subset-{F}(V0,V1), P_relation_rng-{F}(V2,V1), P_cartesian_product2-{F}(V3,V0,V2), subset-{F}(V3,V4), pppp5-{F}(V4,V2) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #81: exists( #28, #79 ), references = 2, size of lhs = 9:
% 3.16/3.38 subset-{F}(V0,V1), P_relation_dom-{F}(V0,V2), P_relation_rng-{F}(V0,V3), subset-{F}(V4,V3), relation_of2-{F}(V1,V5,V6), P_relation_rng-{F}(V7,V6), P_cartesian_product2-{F}(V8,V4,V7), subset-{F}(V8,V9), pppp5-{F}(V9,V7) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #96: exists( #28, #93 ), references = 1, size of lhs = 11:
% 3.16/3.38 relation-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2), subset-{F}(V3,V0), P_relation_dom-{F}(V3,V4), P_relation_rng-{F}(V3,V5), subset-{F}(V6,V5), P_relation_rng-{F}(V7,V2), P_cartesian_product2-{F}(V8,V6,V7), subset-{F}(V8,V9), pppp5-{F}(V9,V7) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #98: exists( #30, #95 ), references = 1, size of lhs = 9:
% 3.16/3.38 relation-{F}(V0), P_relation_dom-{F}(V0,V1), subset-{F}(V2,V0), P_relation_dom-{F}(V2,V3), P_relation_rng-{F}(V2,V4), subset-{F}(V5,V4), P_cartesian_product2-{F}(V6,V5,V0), subset-{F}(V6,V7), pppp5-{F}(V7,V0) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #100: exists( #29, #97 ), references = 2, size of lhs = 8:
% 3.16/3.38 relation-{F}(V0), subset-{F}(V1,V0), P_relation_dom-{F}(V1,V2), P_relation_rng-{F}(V1,V3), subset-{F}(V4,V3), P_cartesian_product2-{F}(V5,V4,V0), subset-{F}(V5,V6), pppp5-{F}(V6,V0) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #105: exists( #27, #103 ), references = 1, size of lhs = 9:
% 3.16/3.38 subset-{F}(V0,V1), subset-{F}(V1,V2), P_relation_dom-{F}(V0,V3), P_relation_rng-{F}(V0,V4), subset-{F}(V5,V4), P_cartesian_product2-{F}(V6,V5,V1), subset-{F}(V6,V7), pppp5-{F}(V7,V1), P_cartesian_product2-{F}(V8,V9,V2) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #115: exists( #28, #113 ), references = 1, size of lhs = 5:
% 3.16/3.38 subset-{F}(V0,V1), P_cartesian_product2-{F}(V2,V0,V3), subset-{F}(V2,V4), subset-{F}(V5,V3), pppp4-{F}(V4,V1,V5,V6) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #118: exists( #18, #116 ), references = 5, size of lhs = 5:
% 3.16/3.38 subset-{F}(V0,V1), pppp5-{F}(V1,V2), P_relation_rng-{F}(V2,V3), subset-{F}(V2,V4), P_cartesian_product2-{F}(V0,V3,V4) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #121: exists( #28, #119 ), references = 2, size of lhs = 4:
% 3.16/3.38 subset-{F}(V0,V1), pppp5-{F}(V1,V2), P_relation_rng-{F}(V2,V3), relation_of2-{F}(V2,V0,V3) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #128: exists( #28, #126 ), references = 4, size of lhs = 5:
% 3.16/3.38 subset-{F}(V0,V1), pppp5-{F}(V1,V2), subset-{F}(V2,V3), P_relation_rng-{F}(V2,V4), relation_of2-{F}(V3,V0,V4) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #136: exists( #28, #134 ), references = 4, size of lhs = 7:
% 3.16/3.38 subset-{F}(V0,V1), P_relation_rng-{F}(V2,V1), subset-{F}(V2,V3), P_cartesian_product2-{F}(V4,V0,V3), subset-{F}(V4,V5), subset-{F}(V5,V6), pppp5-{F}(V6,V2) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #177: exists( #28, #175 ), references = 1, size of lhs = 10:
% 3.16/3.38 subset-{F}(V0,V1), P_relation_dom-{F}(V0,V2), P_relation_rng-{F}(V0,V3), relation_of2-{F}(V1,V4,V5), P_relation_rng-{F}(V6,V5), subset-{F}(V6,V7), P_cartesian_product2-{F}(V8,V3,V7), subset-{F}(V8,V9), subset-{F}(V9,V10), pppp5-{F}(V10,V6) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #185: exists( #28, #179 ), references = 2, size of lhs = 5:
% 3.16/3.38 relation-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2), subset-{F}(V1,V3), pppp5-{F}(V3,V0) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #187: mergings( V1 == V4; #184 ), references = 1, size of lhs = 7:
% 3.16/3.38 relation-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2), subset-{F}(V2,V2), subset-{F}(V1,V3), subset-{F}(V3,V4), pppp5-{F}(V4,V0) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #191: exists( #30, #183 ), references = 2, size of lhs = 4:
% 3.16/3.38 relation-{F}(V0), P_relation_dom-{F}(V0,V1), subset-{F}(V1,V2), pppp5-{F}(V2,V0) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #192: exists( #30, #188 ), references = 2, size of lhs = 5:
% 3.16/3.38 relation-{F}(V0), P_relation_dom-{F}(V0,V1), subset-{F}(V1,V2), subset-{F}(V2,V3), pppp5-{F}(V3,V0) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #199: exists( #30, #195 ), references = 1, size of lhs = 6:
% 3.16/3.38 relation-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V2,V1), pppp5-{F}(V3,V0), subset-{F}(V4,V3), relation_of2_as_subset-{F}(V2,V4,V5) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #200: exists( #30, #194 ), references = 1, size of lhs = 4:
% 3.16/3.38 relation-{F}(V0), P_relation_dom-{F}(V0,V1), pppp5-{F}(V2,V0), relation_of2_as_subset-{F}(V0,V2,V3) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #201: exists( #30, #193 ), references = 1, size of lhs = 5:
% 3.16/3.38 relation-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V2,V1), pppp5-{F}(V3,V0), relation_of2_as_subset-{F}(V2,V3,V4) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #205: exists( #29, #196 ), references = 2, size of lhs = 4:
% 3.16/3.38 relation-{F}(V0), pppp5-{F}(V1,V0), subset-{F}(V2,V1), relation_of2_as_subset-{F}(V0,V2,V3) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #206: exists( #29, #198 ), references = 3, size of lhs = 3:
% 3.16/3.38 relation-{F}(V0), pppp5-{F}(V1,V0), relation_of2_as_subset-{F}(V0,V1,V2) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #227: exists( #28, #223 ), references = 3, size of lhs = 10:
% 3.16/3.38 subset-{F}(V0,V1), subset-{F}(V2,V3), pppp5-{F}(V3,V4), relation_of2-{F}(V4,V0,V5), subset-{F}(V5,V6), P_cartesian_product2-{F}(V1,V6,V7), P_powerset-{F}(V7,V8), P_cartesian_product2-{F}(V2,V9,V7), P_powerset-{F}(V10,V8), P_cartesian_product2-{F}(V11,V12,V10) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #228: exists( #28, #224 ), references = 5, size of lhs = 9:
% 3.16/3.38 subset-{F}(V0,V1), pppp5-{F}(V2,V3), relation_of2_as_subset-{F}(V3,V2,V4), relation_of2-{F}(V3,V0,V5), subset-{F}(V5,V6), P_cartesian_product2-{F}(V1,V6,V7), P_powerset-{F}(V7,V8), P_powerset-{F}(V9,V8), P_cartesian_product2-{F}(V10,V11,V9) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #285: mergings( V2 == V5, V7 == V0, V4 == V1, V6 == V5; #278 ), references = 1, size of lhs = 5:
% 3.16/3.38 P_relation_dom-{F}(V0,V0), P_relation_rng-{F}(V0,V1), pppp5-{F}(V2,V0), subset-{F}(V3,V2), P_cartesian_product2-{F}(V3,V1,V2) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #290: mergings( V2 == V5, V0 == V8, V1 == V4, V6 == V5; #279 ), references = 1, size of lhs = 7:
% 3.16/3.38 P_relation_dom-{F}(V0,V0), P_relation_rng-{F}(V0,V1), subset-{F}(V2,V1), pppp5-{F}(V3,V0), P_cartesian_product2-{F}(V4,V2,V3), subset-{F}(V4,V5), subset-{F}(V5,V3) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #295: mergings( V2 == V5, V0 == V7, V1 == V4, V5 == V6; #280 ), references = 1, size of lhs = 5:
% 3.16/3.38 P_relation_dom-{F}(V0,V0), P_relation_rng-{F}(V0,V1), pppp5-{F}(V2,V0), relation_of2-{F}(V2,V3,V1), subset-{F}(V3,V2) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #345: exists( #19, #339 ), references = 1, size of lhs = 3:
% 3.16/3.38 relation-{F}(V0), P_relation_rng-{F}(V0,V1), pppp5-{F}(V2,V0) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #346: exists( #19, #341 ), references = 4, size of lhs = 9:
% 3.16/3.38 subset-{F}(V0,V1), pppp5-{F}(V2,V3), P_relation_rng-{F}(V3,V4), relation_of2-{F}(V3,V0,V5), subset-{F}(V5,V6), P_cartesian_product2-{F}(V1,V6,V7), P_powerset-{F}(V7,V8), P_powerset-{F}(V9,V8), P_cartesian_product2-{F}(V10,V11,V9) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #408: mergings( V2 == V5; #404 ), references = 1, size of lhs = 9:
% 3.16/3.38 pppp5-{F}(V0,V1), P_relation_dom-{F}(V1,V2), P_relation_rng-{F}(V1,V3), relation_of2-{F}(V1,V2,V4), subset-{F}(V4,V5), P_cartesian_product2-{F}(V0,V5,V6), P_powerset-{F}(V6,V7), P_powerset-{F}(V8,V7), P_cartesian_product2-{F}(V9,V10,V8) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #413: mergings( V2 == V5, V0 == V6, V1 == V7, V5 == V8; #405 ), references = 1, size of lhs = 9:
% 3.16/3.38 pppp5-{F}(V0,V1), P_relation_dom-{F}(V1,V2), P_relation_rng-{F}(V1,V3), relation_of2-{F}(V1,V2,V4), subset-{F}(V4,V5), P_cartesian_product2-{F}(V0,V5,V6), P_powerset-{F}(V6,V7), P_powerset-{F}(V8,V7), P_cartesian_product2-{F}(V9,V10,V8) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #417: mergings( V2 == V5, V0 == V7, V1 == V8; #406 ), references = 1, size of lhs = 11:
% 3.16/3.38 subset-{F}(V0,V1), pppp5-{F}(V1,V2), P_relation_dom-{F}(V2,V3), P_relation_rng-{F}(V2,V4), relation_of2-{F}(V2,V3,V5), subset-{F}(V5,V6), P_cartesian_product2-{F}(V1,V6,V7), P_powerset-{F}(V7,V8), P_cartesian_product2-{F}(V0,V9,V7), P_powerset-{F}(V10,V8), P_cartesian_product2-{F}(V11,V12,V10) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #506: mergings( V2 == V5, V1 == V6, V5 == V7; #501 ), references = 1, size of lhs = 4:
% 3.16/3.38 pppp5-{F}(V0,V1), P_relation_dom-{F}(V1,V2), P_relation_rng-{F}(V1,V3), relation_of2-{F}(V1,V2,V3) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #510: mergings( V2 == V5, V1 == V6, V5 == V8; #502 ), references = 1, size of lhs = 5:
% 3.16/3.38 pppp5-{F}(V0,V1), P_relation_dom-{F}(V1,V2), subset-{F}(V1,V3), P_relation_rng-{F}(V1,V4), relation_of2-{F}(V3,V2,V4) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #548: mergings( V2 == V4; #544 ), references = 1, size of lhs = 10:
% 3.16/3.38 P_relation_dom-{F}(V0,V0), P_relation_rng-{F}(V0,V1), pppp5-{F}(V2,V0), subset-{F}(V3,V4), P_cartesian_product2-{F}(V3,V5,V2), subset-{F}(V5,V6), P_cartesian_product2-{F}(V4,V6,V7), P_powerset-{F}(V7,V8), P_powerset-{F}(V9,V8), P_cartesian_product2-{F}(V10,V11,V9) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #553: mergings( V2 == V5, V6 == V0, V4 == V1, V7 == V5; #545 ), references = 1, size of lhs = 10:
% 3.16/3.38 P_relation_dom-{F}(V0,V0), P_relation_rng-{F}(V0,V1), pppp5-{F}(V2,V0), subset-{F}(V3,V4), P_cartesian_product2-{F}(V3,V5,V2), subset-{F}(V5,V6), P_cartesian_product2-{F}(V4,V6,V7), P_powerset-{F}(V7,V8), P_powerset-{F}(V9,V8), P_cartesian_product2-{F}(V10,V11,V9) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #557: mergings( V2 == V5, V6 == V0, V4 == V1; #546 ), references = 1, size of lhs = 12:
% 3.16/3.38 P_relation_dom-{F}(V0,V0), P_relation_rng-{F}(V0,V1), pppp5-{F}(V2,V0), subset-{F}(V3,V2), subset-{F}(V4,V5), P_cartesian_product2-{F}(V4,V6,V2), subset-{F}(V6,V7), P_cartesian_product2-{F}(V5,V7,V8), P_powerset-{F}(V8,V9), P_cartesian_product2-{F}(V3,V10,V8), P_powerset-{F}(V11,V9), P_cartesian_product2-{F}(V12,V13,V11) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #561: exists( #30, #544 ), references = 1, size of lhs = 9:
% 3.16/3.38 P_relation_dom-{F}(V0,V0), pppp5-{F}(V1,V0), subset-{F}(V2,V3), P_cartesian_product2-{F}(V2,V4,V1), subset-{F}(V4,V5), P_cartesian_product2-{F}(V3,V5,V6), P_powerset-{F}(V6,V7), P_powerset-{F}(V8,V7), P_cartesian_product2-{F}(V9,V10,V8) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #563: mergings( V2 == V3; #559 ), references = 1, size of lhs = 9:
% 3.16/3.38 P_relation_dom-{F}(V0,V0), pppp5-{F}(V1,V0), subset-{F}(V2,V3), P_cartesian_product2-{F}(V2,V4,V1), subset-{F}(V4,V5), P_cartesian_product2-{F}(V3,V5,V6), P_powerset-{F}(V6,V7), P_powerset-{F}(V8,V7), P_cartesian_product2-{F}(V9,V10,V8) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #566: mergings( V3 == V5, V4 == V0; #560 ), references = 1, size of lhs = 11:
% 3.16/3.38 P_relation_dom-{F}(V0,V0), pppp5-{F}(V1,V0), subset-{F}(V2,V1), subset-{F}(V3,V4), P_cartesian_product2-{F}(V3,V5,V1), subset-{F}(V5,V6), P_cartesian_product2-{F}(V4,V6,V7), P_powerset-{F}(V7,V8), P_cartesian_product2-{F}(V2,V9,V7), P_powerset-{F}(V10,V8), P_cartesian_product2-{F}(V11,V12,V10) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #616: exists( #27, #346 ), references = 1, size of lhs = 7:
% 3.16/3.38 subset-{F}(V0,V1), pppp5-{F}(V2,V3), P_relation_rng-{F}(V3,V4), relation_of2-{F}(V3,V0,V5), subset-{F}(V5,V6), P_cartesian_product2-{F}(V1,V6,V7), P_cartesian_product2-{F}(V8,V9,V7) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #617: exists( #27, #228 ), references = 1, size of lhs = 7:
% 3.16/3.38 subset-{F}(V0,V1), pppp5-{F}(V2,V3), relation_of2_as_subset-{F}(V3,V2,V4), relation_of2-{F}(V3,V0,V5), subset-{F}(V5,V6), P_cartesian_product2-{F}(V1,V6,V7), P_cartesian_product2-{F}(V8,V9,V7) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #620: exists( #28, #615 ), references = 1, size of lhs = 5:
% 3.16/3.38 subset-{F}(V0,V1), pppp5-{F}(V2,V3), P_relation_rng-{F}(V3,V4), relation_of2-{F}(V3,V0,V5), subset-{F}(V5,V6) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #621: exists( #28, #614 ), references = 2, size of lhs = 5:
% 3.16/3.38 subset-{F}(V0,V1), pppp5-{F}(V2,V3), relation_of2_as_subset-{F}(V3,V2,V4), relation_of2-{F}(V3,V0,V5), subset-{F}(V5,V6) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #653: exists( #19, #650 ), references = 1, size of lhs = 3:
% 3.16/3.38 subset-{F}(V0,V1), pppp5-{F}(V0,V2), P_relation_rng-{F}(V2,V3) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #656: exists( #30, #651 ), references = 1, size of lhs = 2:
% 3.16/3.38 subset-{F}(V0,V1), pppp5-{F}(V0,V2) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #659: exists( #17, #654 ), references = 1, size of lhs = 2:
% 3.16/3.38 pppp6-{F}(V0), subset-{F}(V0,V1) | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 #664: exists( #16, #660 ), references = 1, size of lhs = 0:
% 3.16/3.38 FALSE | FALSE
% 3.16/3.38 (used 0 times, uses = {})
% 3.16/3.38
% 3.16/3.38 number of learnt formulas = 49
% 3.16/3.38
% 3.16/3.38
% 3.16/3.38 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.16/3.38
% 3.16/3.38 randbase = 1
%------------------------------------------------------------------------------