TSTP Solution File: SEU250+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU250+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 06:17:37 EDT 2022
% Result : Theorem 5.19s 5.38s
% Output : Refutation 5.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU250+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 : n028.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 19:45:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 5.19/5.38 GeoParameters:
% 5.19/5.38
% 5.19/5.38 tptp_input = 1
% 5.19/5.38 tptp_output = 0
% 5.19/5.38 nonempty = 1
% 5.19/5.38 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.19/5.38 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 5.19/5.38
% 5.19/5.38
% 5.19/5.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.19/5.38 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.19/5.38
% 5.19/5.38 RuleSystem INPUT:
% 5.19/5.38
% 5.19/5.38 Initial Rules:
% 5.19/5.38 #0: input, references = 5, size of lhs = 2:
% 5.19/5.38 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #1: input, references = 3, size of lhs = 1:
% 5.19/5.38 empty-{F}(V0) | function-{T}(V0)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #2: input, references = 3, size of lhs = 3:
% 5.19/5.38 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #3: input, references = 4, size of lhs = 3:
% 5.19/5.38 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #4: input, references = 4, size of lhs = 3:
% 5.19/5.38 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #5: input, references = 3, size of lhs = 1:
% 5.19/5.38 subset-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #6: input, references = 11, size of lhs = 1:
% 5.19/5.38 pppp0-{F}(V0,V1) | subset-{T}(V0,V1)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #7: input, references = 10, size of lhs = 2:
% 5.19/5.38 pppp0-{F}(V0,V1), in-{F}(V2,V0) | in-{T}(V2,V1)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #8: input, references = 12, size of lhs = 2:
% 5.19/5.38 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp10-{T}(V0,V1)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #9: input, references = 7, size of lhs = 1:
% 5.19/5.38 pppp10-{F}(V0,V1) | EXISTS V2: pppp1-{T}(V0,V1,V2)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #10: input, references = 6, size of lhs = 2:
% 5.19/5.38 pppp1-{F}(V0,V1,V2), in-{F}(V2,V1) | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #11: input, references = 9, size of lhs = 1:
% 5.19/5.38 pppp1-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #12: input, references = 6, size of lhs = 6:
% 5.19/5.38 P_relation_field-{F}(V0,V1), P_relation_dom-{F}(V0,V2), P_relation_rng-{F}(V0,V3), P_set_union2-{F}(V2,V3,V4), relation-{F}(V0), V1 == V4 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #13: input, references = 6, size of lhs = 5:
% 5.19/5.38 relation-{F}(V0), P_relation_restriction-{F}(V0,V1,V2), P_cartesian_product2-{F}(V1,V1,V3), P_set_intersection2-{F}(V0,V3,V4), V2 == V4 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #14: input, references = 3, size of lhs = 2:
% 5.19/5.38 relation-{F}(V0), P_relation_restriction-{F}(V0,V1,V2) | relation-{T}(V2)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #15: input, references = 8, size of lhs = 1:
% 5.19/5.38 #-{F} V0 | EXISTS V1: pppp2-{T}(V0,V1)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #16: input, references = 10, size of lhs = 1:
% 5.19/5.38 pppp2-{F}(V0,V1) | element-{T}(V1,V0)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #17: input, references = 3, size of lhs = 1:
% 5.19/5.38 P_empty_set-{F}(V0) | empty-{T}(V0)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #18: input, references = 4, size of lhs = 3:
% 5.19/5.38 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), empty-{F}(V3) | empty-{T}(V1)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #19: input, references = 5, size of lhs = 3:
% 5.19/5.38 P_empty_set-{F}(V0), P_set_union2-{F}(V2,V1,V3), empty-{F}(V3) | empty-{T}(V1)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #20: input, references = 4, size of lhs = 3:
% 5.19/5.38 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #21: input, references = 4, size of lhs = 3:
% 5.19/5.38 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #22: input, references = 3, size of lhs = 1:
% 5.19/5.38 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #23: input, references = 3, size of lhs = 1:
% 5.19/5.38 pppp3-{F}(V0) | function-{T}(V0)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #24: input, references = 3, size of lhs = 1:
% 5.19/5.38 pppp3-{F}(V0) | relation-{T}(V0)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #25: input, references = 4, size of lhs = 1:
% 5.19/5.38 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #26: input, references = 5, size of lhs = 1:
% 5.19/5.38 pppp4-{F}(V0) | empty-{T}(V0)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #27: input, references = 4, size of lhs = 1:
% 5.19/5.38 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #28: input, references = 3, size of lhs = 1:
% 5.19/5.38 pppp5-{F}(V0) | function-{T}(V0)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #29: input, references = 5, size of lhs = 1:
% 5.19/5.38 pppp5-{F}(V0) | empty-{T}(V0)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #30: input, references = 3, size of lhs = 1:
% 5.19/5.38 pppp5-{F}(V0) | relation-{T}(V0)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #31: input, references = 3, size of lhs = 1:
% 5.19/5.38 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #32: input, references = 3, size of lhs = 2:
% 5.19/5.38 pppp6-{F}(V0), empty-{F}(V0) | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #33: input, references = 3, size of lhs = 1:
% 5.19/5.38 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #34: input, references = 3, size of lhs = 1:
% 5.19/5.38 pppp7-{F}(V0) | one_to_one-{T}(V0)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #35: input, references = 3, size of lhs = 1:
% 5.19/5.38 pppp7-{F}(V0) | function-{T}(V0)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #36: input, references = 3, size of lhs = 1:
% 5.19/5.38 pppp7-{F}(V0) | relation-{T}(V0)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #37: input, references = 3, size of lhs = 2:
% 5.19/5.38 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #38: input, references = 8, size of lhs = 6:
% 5.19/5.38 P_empty_set-{F}(V0), P_relation_field-{F}(V1,V2), relation-{F}(V1), P_relation_restriction-{F}(V1,V3,V5), P_relation_field-{F}(V5,V6), in-{F}(V4,V6) | in-{T}(V4,V2)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #39: input, references = 5, size of lhs = 6:
% 5.19/5.38 P_empty_set-{F}(V0), P_relation_field-{F}(V1,V2), relation-{F}(V1), P_relation_restriction-{F}(V1,V3,V5), P_relation_field-{F}(V5,V6), in-{F}(V4,V6) | in-{T}(V4,V3)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #40: input, references = 4, size of lhs = 3:
% 5.19/5.38 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V0,V2), V2 == V1 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #41: input, references = 4, size of lhs = 2:
% 5.19/5.38 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #42: input, references = 4, size of lhs = 1:
% 5.19/5.38 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #43: input, references = 5, size of lhs = 2:
% 5.19/5.38 pppp9-{F}(V0), P_relation_field-{F}(V0,V1) | EXISTS V2: pppp8-{T}(V0,V1,V2)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #44: input, references = 4, size of lhs = 2:
% 5.19/5.38 pppp9-{F}(V0), P_relation_field-{F}(V0,V1) | relation-{T}(V0)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #45: input, references = 8, size of lhs = 5:
% 5.19/5.38 pppp8-{F}(V0,V1,V2), P_relation_restriction-{F}(V0,V2,V3), P_relation_field-{F}(V3,V4), subset-{F}(V4,V1), subset-{F}(V4,V2) | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #46: input, references = 4, size of lhs = 3:
% 5.19/5.38 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V0,V2), V2 == V0 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #47: input, references = 4, size of lhs = 2:
% 5.19/5.38 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #48: input, references = 6, size of lhs = 3:
% 5.19/5.38 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #49: input, references = 8, size of lhs = 3:
% 5.19/5.38 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #50: input, references = 6, size of lhs = 4:
% 5.19/5.38 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #51: input, references = 8, size of lhs = 5:
% 5.19/5.38 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #52: input, references = 6, size of lhs = 3:
% 5.19/5.38 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #53: input, references = 8, size of lhs = 3:
% 5.19/5.38 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #54: input, references = 6, size of lhs = 4:
% 5.19/5.38 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #55: input, references = 7, size of lhs = 2:
% 5.19/5.38 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_union2-{T}(V0,V1,V2)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #56: input, references = 7, size of lhs = 2:
% 5.19/5.38 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_intersection2-{T}(V0,V1,V2)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #57: input, references = 10, size of lhs = 1:
% 5.19/5.38 #-{F} V0 | EXISTS V1: P_relation_field-{T}(V0,V1)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #58: input, references = 4, size of lhs = 1:
% 5.19/5.38 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #59: input, references = 5, size of lhs = 1:
% 5.19/5.38 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #60: input, references = 8, size of lhs = 2:
% 5.19/5.38 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_restriction-{T}(V0,V1,V2)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #61: input, references = 4, size of lhs = 2:
% 5.19/5.38 #-{F} V0, #-{F} V1 | EXISTS V2: P_cartesian_product2-{T}(V0,V1,V2)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #62: input, references = 4, size of lhs = 0:
% 5.19/5.38 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #63: input, references = 3, size of lhs = 1:
% 5.19/5.38 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 number of initial rules = 64
% 5.19/5.38
% 5.19/5.38 Simplifiers:
% 5.19/5.38 #64: unsound, references = 3, size of lhs = 3:
% 5.19/5.38 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #65: unsound, references = 3, size of lhs = 3:
% 5.19/5.38 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #66: unsound, references = 3, size of lhs = 3:
% 5.19/5.38 P_relation_field-{F}(V0,V1), P_relation_field-{F}(V0,V3), V1 == V3 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #67: unsound, references = 3, size of lhs = 3:
% 5.19/5.38 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #68: unsound, references = 3, size of lhs = 3:
% 5.19/5.38 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #69: unsound, references = 3, size of lhs = 3:
% 5.19/5.38 P_relation_restriction-{F}(V0,V1,V2), P_relation_restriction-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #70: unsound, references = 3, size of lhs = 3:
% 5.19/5.38 P_cartesian_product2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #71: unsound, references = 3, size of lhs = 3:
% 5.19/5.38 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #72: unsound, references = 3, size of lhs = 3:
% 5.19/5.38 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #73: unsound, references = 3, size of lhs = 3:
% 5.19/5.38 pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #74: unsound, references = 3, size of lhs = 3:
% 5.19/5.38 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #75: unsound, references = 3, size of lhs = 3:
% 5.19/5.38 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #76: unsound, references = 3, size of lhs = 3:
% 5.19/5.38 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #77: unsound, references = 3, size of lhs = 3:
% 5.19/5.38 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #78: unsound, references = 3, size of lhs = 3:
% 5.19/5.38 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #79: unsound, references = 3, size of lhs = 3:
% 5.19/5.38 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #80: unsound, references = 3, size of lhs = 3:
% 5.19/5.38 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #81: unsound, references = 3, size of lhs = 3:
% 5.19/5.38 pppp8-{F}(V0,V1,V2), pppp8-{F}(V3,V4,V5), V0 == V3 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #82: unsound, references = 3, size of lhs = 3:
% 5.19/5.38 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V4,V5), V1 == V4 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #83: unsound, references = 3, size of lhs = 3:
% 5.19/5.38 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 number of simplifiers = 20
% 5.19/5.38
% 5.19/5.38 Learnt:
% 5.19/5.38 #85: exists( #55, #20 ), references = 1, size of lhs = 2:
% 5.19/5.38 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V1,V1)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #87: exists( #56, #21 ), references = 1, size of lhs = 2:
% 5.19/5.38 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V1,V1)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #89: exists( #55, #40 ), references = 3, size of lhs = 2:
% 5.19/5.38 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V0,V1)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #95: mergings( V0 == V2; #92 ), references = 1, size of lhs = 1:
% 5.19/5.38 P_empty_set-{F}(V0) | pppp4-{T}(V0)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #97: mergings( V0 == V2; #93 ), references = 1, size of lhs = 2:
% 5.19/5.38 P_empty_set-{F}(V0), empty-{F}(V1) | pppp4-{T}(V1)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #101: exists( #55, #12 ), references = 4, size of lhs = 4:
% 5.19/5.38 relation-{F}(V0), P_relation_field-{F}(V0,V1), P_relation_dom-{F}(V0,V2), P_relation_rng-{F}(V0,V3) | P_set_union2-{T}(V2,V3,V1)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #104: exists( #55, #3 ), references = 2, size of lhs = 1:
% 5.19/5.38 P_set_union2-{F}(V0,V1,V2) | P_set_union2-{T}(V1,V0,V2)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #111: mergings( V0 == V2; #108 ), references = 1, size of lhs = 1:
% 5.19/5.38 P_empty_set-{F}(V0) | pppp5-{T}(V0)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #113: mergings( V0 == V2; #109 ), references = 1, size of lhs = 2:
% 5.19/5.38 P_empty_set-{F}(V0), empty-{F}(V1) | pppp5-{T}(V1)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #115: exists( #56, #46 ), references = 2, size of lhs = 2:
% 5.19/5.38 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V0,V0)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #117: exists( #56, #4 ), references = 2, size of lhs = 1:
% 5.19/5.38 P_set_intersection2-{F}(V0,V1,V2) | P_set_intersection2-{T}(V1,V0,V2)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #121: mergings( V0 == V3; #118 ), references = 7, size of lhs = 3:
% 5.19/5.38 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #124: mergings( V0 == V3, V2 == V3; #119 ), references = 1, size of lhs = 4:
% 5.19/5.38 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #135: disj( #8, #7+#53 ), references = 1, size of lhs = 3:
% 5.19/5.38 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V3) | pppp10-{T}(V3,V1)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #136: disj( #8, #7+#51 ), references = 1, size of lhs = 5:
% 5.19/5.38 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), in-{F}(V4,V5) | pppp10-{T}(V5,V3)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #143: exists( #60, #13 ), references = 1, size of lhs = 3:
% 5.19/5.38 relation-{F}(V0), P_cartesian_product2-{F}(V1,V1,V2), P_set_intersection2-{F}(V0,V2,V3) | P_relation_restriction-{T}(V0,V1,V3)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #150: mergings( V2 == V3; #148 ), references = 5, size of lhs = 5:
% 5.19/5.38 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), V3 == V0 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #156: exists( #61, #154 ), references = 1, size of lhs = 4:
% 5.19/5.38 P_empty_set-{F}(V0), relation-{F}(V0), P_relation_restriction-{F}(V0,V1,V2), V2 == V0 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #158: exists( #60, #155 ), references = 1, size of lhs = 3:
% 5.19/5.38 P_empty_set-{F}(V0), relation-{F}(V0), #-{F} V1 | P_relation_restriction-{T}(V0,V1,V0)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #182: mergings( V2 == V3, V3 == V6; #178 ), references = 1, size of lhs = 7:
% 5.19/5.38 relation-{F}(V0), P_relation_field-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3), P_relation_restriction-{F}(V0,V3,V4), P_relation_field-{F}(V4,V5), V5 == V2 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #186: mergings( V2 == V3, V3 == V4; #183 ), references = 1, size of lhs = 4:
% 5.19/5.38 relation-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_relation_restriction-{F}(V0,V2,V0) | P_relation_field-{T}(V0,V1)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #197: mergings( V3 == V4; #195 ), references = 2, size of lhs = 4:
% 5.19/5.38 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp10-{F}(V2,V3) | pppp1-{T}(V2,V3,V0)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #204: disj( #8, #7+#0 ), references = 1, size of lhs = 1:
% 5.19/5.38 in-{F}(V0,V1) | pppp10-{T}(V1,V0)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #216: mergings( V4 == V5; #213 ), references = 3, size of lhs = 6:
% 5.19/5.38 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3), in-{F}(V4,V2) | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #218: mergings( V4 == V5; #212 ), references = 2, size of lhs = 5:
% 5.19/5.38 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3) | P_relation_rng-{T}(V0,V3)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #220: mergings( V4 == V5; #214 ), references = 1, size of lhs = 6:
% 5.19/5.38 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3), empty-{F}(V4) | P_relation_rng-{T}(V0,V4)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #234: exists( #9, #228 ), references = 1, size of lhs = 3:
% 5.19/5.38 P_empty_set-{F}(V0), empty-{F}(V1), pppp10-{F}(V1,V2) | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #235: exists( #9, #229 ), references = 1, size of lhs = 6:
% 5.19/5.38 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), pppp10-{F}(V2,V3), P_empty_set-{F}(V4) | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #237: mergings( V0 == V3; #233 ), references = 1, size of lhs = 5:
% 5.19/5.38 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), pppp10-{F}(V0,V3) | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #241: disj( #8, exists( #9, #228 ) ), references = 2, size of lhs = 3:
% 5.19/5.38 P_empty_set-{F}(V0), empty-{F}(V1), #-{F} V2 | pppp0-{T}(V1,V2)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #242: disj( #8, exists( #9, #229 ) ), references = 1, size of lhs = 6:
% 5.19/5.38 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3), #-{F} V4 | pppp0-{T}(V2,V4)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #244: mergings( V0 == V2; #240 ), references = 1, size of lhs = 5:
% 5.19/5.38 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), #-{F} V3 | pppp0-{T}(V0,V3)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #250: exists( #15, #248 ), references = 1, size of lhs = 3:
% 5.19/5.38 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2) | pppp2-{T}(V2,V0)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #257: disj( #8, #197+#10 ), references = 1, size of lhs = 4:
% 5.19/5.38 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), in-{F}(V0,V3) | pppp0-{T}(V2,V3)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #300: disj( #8, #7+#7+#0 ), references = 1, size of lhs = 2:
% 5.19/5.38 pppp0-{F}(V0,V1), in-{F}(V1,V2) | pppp10-{T}(V2,V0)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #303: mergings( V2 == V3, V3 == V4; #298 ), references = 1, size of lhs = 7:
% 5.19/5.38 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V3), in-{F}(V5,V6), V5 == V0 | pppp10-{T}(V6,V4)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #306: mergings( V2 == V3, V3 == V4; #299 ), references = 1, size of lhs = 9:
% 5.19/5.38 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V3), in-{F}(V5,V6), pppp0-{F}(V6,V7), pppp0-{F}(V7,V8), in-{F}(V8,V9) | pppp10-{T}(V9,V4)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #313: exists( #59, #311 ), references = 1, size of lhs = 4:
% 5.19/5.38 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom-{F}(V1,V0), P_relation_field-{F}(V1,V2) | P_relation_rng-{T}(V1,V2)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #338: exists( #56, #13 ), references = 1, size of lhs = 3:
% 5.19/5.38 relation-{F}(V0), P_relation_restriction-{F}(V0,V1,V2), P_cartesian_product2-{F}(V1,V1,V3) | P_set_intersection2-{T}(V0,V3,V2)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #377: mergings( V2 == V3, V3 == V6; #372 ), references = 1, size of lhs = 7:
% 5.19/5.38 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_empty_set-{F}(V2), P_relation_restriction-{F}(V0,V3,V4), P_relation_field-{F}(V4,V5), V5 == V2 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #380: mergings( V2 == V3, V3 == V8; #373 ), references = 1, size of lhs = 10:
% 5.19/5.38 relation-{F}(V0), P_relation_field-{F}(V0,V1), relation-{F}(V2), P_relation_dom-{F}(V2,V1), P_relation_field-{F}(V2,V3), empty-{F}(V3), P_empty_set-{F}(V4), P_relation_restriction-{F}(V0,V5,V6), P_relation_field-{F}(V6,V7), V7 == V4 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #384: mergings( V2 == V3, V3 == V6, V5 == V6; #374 ), references = 1, size of lhs = 9:
% 5.19/5.38 relation-{F}(V0), P_relation_field-{F}(V0,V1), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3), element-{F}(V1,V3), P_relation_restriction-{F}(V0,V4,V5), P_relation_field-{F}(V5,V6), V6 == V1 | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #390: mergings( V2 == V3, V3 == V6; #385 ), references = 1, size of lhs = 5:
% 5.19/5.38 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_empty_set-{F}(V2), P_relation_restriction-{F}(V0,V3,V4) | P_relation_field-{T}(V4,V2)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #393: mergings( V2 == V3, V3 == V8; #386 ), references = 1, size of lhs = 8:
% 5.19/5.38 relation-{F}(V0), P_relation_field-{F}(V0,V1), relation-{F}(V2), P_relation_dom-{F}(V2,V1), P_relation_field-{F}(V2,V3), empty-{F}(V3), P_empty_set-{F}(V4), P_relation_restriction-{F}(V0,V5,V6) | P_relation_field-{T}(V6,V4)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #397: mergings( V2 == V3, V3 == V6, V5 == V6; #387 ), references = 1, size of lhs = 7:
% 5.19/5.38 relation-{F}(V0), P_relation_field-{F}(V0,V1), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3), element-{F}(V1,V3), P_relation_restriction-{F}(V0,V4,V5) | P_relation_field-{T}(V5,V1)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #402: mergings( V3 == V4, V4 == V6; #399 ), references = 2, size of lhs = 7:
% 5.19/5.38 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_empty_set-{F}(V2), subset-{F}(V2,V3), subset-{F}(V2,V4), pppp8-{F}(V0,V3,V4) | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #408: mergings( V1 == V5, V3 == V4; #405 ), references = 1, size of lhs = 7:
% 5.19/5.38 pppp9-{F}(V0), relation-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V1), subset-{F}(V1,V2), P_relation_field-{F}(V0,V2), empty-{F}(V2) | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #427: mergings( V2 == V3; #425 ), references = 1, size of lhs = 6:
% 5.19/5.38 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), pppp8-{F}(V4,V1,V3), P_relation_restriction-{F}(V4,V3,V5), P_relation_field-{F}(V5,V6) | pppp10-{T}(V6,V3)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #447: exists( #9, #445 ), references = 1, size of lhs = 6:
% 5.19/5.38 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp10-{F}(V3,V4), P_relation_restriction-{F}(V1,V4,V5), P_relation_field-{F}(V5,V3) | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #452: mergings( V2 == V3, V3 == V4; #449 ), references = 1, size of lhs = 8:
% 5.19/5.38 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), P_powerset-{F}(V3,V4), P_powerset-{F}(V5,V4), pppp8-{F}(V6,V3,V5), P_relation_restriction-{F}(V6,V5,V7), P_relation_restriction-{F}(V1,V5,V7) | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #456: mergings( V3 == V4, V4 == V5; #453 ), references = 1, size of lhs = 6:
% 5.19/5.38 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), P_powerset-{F}(V3,V4), pppp8-{F}(V1,V3,V5), P_powerset-{F}(V5,V4) | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #498: disj( #8, exists( #9, #445 ) ), references = 3, size of lhs = 5:
% 5.19/5.38 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), P_relation_restriction-{F}(V1,V3,V4), P_relation_field-{F}(V4,V5) | pppp0-{T}(V5,V3)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #528: mergings( V2 == V3, V3 == V6, V6 == V7; #524 ), references = 1, size of lhs = 10:
% 5.19/5.38 relation-{F}(V0), P_relation_field-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), element-{F}(V1,V5), P_relation_restriction-{F}(V0,V6,V7), P_relation_field-{F}(V7,V8), V8 == V2 | pppp2-{T}(V8,V2)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #545: disj( #8, #6+#45 ), references = 1, size of lhs = 4:
% 5.19/5.38 subset-{F}(V0,V1), P_relation_field-{F}(V2,V0), P_relation_restriction-{F}(V3,V1,V2), pppp8-{F}(V3,V4,V1) | pppp10-{T}(V0,V4)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #562: mergings( V2 == V3, V3 == V4; #559 ), references = 1, size of lhs = 10:
% 5.19/5.38 relation-{F}(V0), P_empty_set-{F}(V1), P_relation_restriction-{F}(V0,V2,V3), P_relation_field-{F}(V3,V4), P_powerset-{F}(V2,V5), P_powerset-{F}(V6,V5), subset-{F}(V4,V7), pppp8-{F}(V8,V6,V7), P_relation_restriction-{F}(V8,V7,V9), P_relation_field-{F}(V9,V4) | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #582: mergings( V2 == V3; #580 ), references = 1, size of lhs = 7:
% 5.19/5.38 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), pppp8-{F}(V4,V1,V5), P_relation_restriction-{F}(V4,V5,V6), P_relation_field-{F}(V6,V7), subset-{F}(V7,V5) | pppp10-{T}(V7,V3)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #608: exists( #9, #606 ), references = 1, size of lhs = 6:
% 5.19/5.38 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp10-{F}(V3,V2), P_relation_field-{F}(V4,V3), P_relation_restriction-{F}(V1,V5,V4) | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #614: mergings( V2 == V5; #612 ), references = 1, size of lhs = 9:
% 5.19/5.38 relation-{F}(V0), P_relation_field-{F}(V0,V1), P_empty_set-{F}(V2), relation-{F}(V3), P_relation_field-{F}(V3,V4), pppp8-{F}(V5,V4,V6), P_relation_restriction-{F}(V0,V6,V7), P_relation_restriction-{F}(V5,V6,V7), P_relation_restriction-{F}(V3,V8,V7) | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #618: mergings( V4 == V6, V3 == V5; #615 ), references = 1, size of lhs = 4:
% 5.19/5.38 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp8-{F}(V1,V2,V3) | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #622: mergings( V5 == V1, V3 == V4; #619 ), references = 1, size of lhs = 4:
% 5.19/5.38 pppp9-{F}(V0), relation-{F}(V0), P_empty_set-{F}(V1), P_relation_field-{F}(V0,V2) | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #625: mergings( V2 == V3; #623 ), references = 2, size of lhs = 3:
% 5.19/5.38 pppp9-{F}(V0), relation-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #631: mergings( V2 == V4; #629 ), references = 1, size of lhs = 4:
% 5.19/5.38 empty-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), P_relation_field-{F}(V2,V0) | P_relation_dom-{T}(V2,V0)
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #658: exists( #57, #654 ), references = 1, size of lhs = 2:
% 5.19/5.38 pppp9-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #662: mergings( V0 == V2; #659 ), references = 1, size of lhs = 1:
% 5.19/5.38 P_empty_set-{F}(V0) | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 #665: exists( #62, #659 ), references = 1, size of lhs = 0:
% 5.19/5.38 FALSE | FALSE
% 5.19/5.38 (used 0 times, uses = {})
% 5.19/5.38
% 5.19/5.38 number of learnt formulas = 65
% 5.19/5.38
% 5.19/5.38
% 5.19/5.38 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.19/5.38
% 5.19/5.38 randbase = 1
%------------------------------------------------------------------------------