TSTP Solution File: SEU382+1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU382+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 06:17:56 EDT 2022
% Result : Theorem 5.25s 5.46s
% Output : Refutation 5.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU382+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n007.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 18:14:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 5.25/5.46 GeoParameters:
% 5.25/5.46
% 5.25/5.46 tptp_input = 1
% 5.25/5.46 tptp_output = 0
% 5.25/5.46 nonempty = 1
% 5.25/5.46 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.25/5.46 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 5.25/5.46
% 5.25/5.46
% 5.25/5.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.25/5.46 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.25/5.46
% 5.25/5.46 RuleSystem INPUT:
% 5.25/5.46
% 5.25/5.46 Initial Rules:
% 5.25/5.46 #0: input, references = 4, size of lhs = 6:
% 5.25/5.46 P_the_carrier-{F}(V0,V1), P_the_InternalRel-{F}(V0,V2), P_rel_str_of-{F}(V1,V2,V3), rel_str-{F}(V0), strict_rel_str-{F}(V0), V0 == V3 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #1: input, references = 3, size of lhs = 2:
% 5.25/5.46 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #2: input, references = 3, size of lhs = 3:
% 5.25/5.46 rel_str-{F}(V0), reflexive_relstr-{F}(V0), complete_relstr-{F}(V0) | empty_carrier-{T}(V0), up_complete_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #3: input, references = 3, size of lhs = 3:
% 5.25/5.46 rel_str-{F}(V0), reflexive_relstr-{F}(V0), complete_relstr-{F}(V0) | empty_carrier-{T}(V0), join_complete_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #4: input, references = 3, size of lhs = 2:
% 5.25/5.46 rel_str-{F}(V0), boolean_relstr-{F}(V0) | empty_carrier-{T}(V0), pppp0-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #5: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp0-{F}(V0) | heyting_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #6: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp0-{F}(V0) | distributive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #7: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp0-{F}(V0) | upper_bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #8: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp0-{F}(V0) | with_infima_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #9: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp0-{F}(V0) | with_suprema_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #10: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp0-{F}(V0) | antisymmetric_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #11: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp0-{F}(V0) | transitive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #12: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp0-{F}(V0) | reflexive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #13: input, references = 3, size of lhs = 2:
% 5.25/5.46 pppp0-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #14: input, references = 3, size of lhs = 3:
% 5.25/5.46 rel_str-{F}(V0), reflexive_relstr-{F}(V0), join_complete_relstr-{F}(V0) | empty_carrier-{T}(V0), lower_bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #15: input, references = 3, size of lhs = 7:
% 5.25/5.46 rel_str-{F}(V0), reflexive_relstr-{F}(V0), transitive_relstr-{F}(V0), antisymmetric_relstr-{F}(V0), with_suprema_relstr-{F}(V0), lower_bounded_relstr-{F}(V0), up_complete_relstr-{F}(V0) | empty_carrier-{T}(V0), pppp1-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #16: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp1-{F}(V0) | bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #17: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp1-{F}(V0) | upper_bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #18: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp1-{F}(V0) | lower_bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #19: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp1-{F}(V0) | complete_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #20: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp1-{F}(V0) | with_infima_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #21: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp1-{F}(V0) | with_suprema_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #22: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp1-{F}(V0) | antisymmetric_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #23: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp1-{F}(V0) | transitive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #24: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp1-{F}(V0) | reflexive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #25: input, references = 3, size of lhs = 2:
% 5.25/5.46 pppp1-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #26: input, references = 3, size of lhs = 4:
% 5.25/5.46 rel_str-{F}(V0), reflexive_relstr-{F}(V0), antisymmetric_relstr-{F}(V0), join_complete_relstr-{F}(V0) | empty_carrier-{T}(V0), with_infima_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #27: input, references = 4, size of lhs = 5:
% 5.25/5.46 rel_str-{F}(V0), reflexive_relstr-{F}(V0), antisymmetric_relstr-{F}(V0), upper_bounded_relstr-{F}(V0), join_complete_relstr-{F}(V0) | empty_carrier-{T}(V0), pppp2-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #28: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp2-{F}(V0) | upper_bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #29: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp2-{F}(V0) | with_suprema_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #30: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp2-{F}(V0) | antisymmetric_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #31: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp2-{F}(V0) | reflexive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #32: input, references = 3, size of lhs = 2:
% 5.25/5.46 pppp2-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #33: input, references = 3, size of lhs = 1:
% 5.25/5.46 empty-{F}(V0) | finite-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #34: input, references = 3, size of lhs = 3:
% 5.25/5.46 rel_str-{F}(V0), with_suprema_relstr-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #35: input, references = 3, size of lhs = 2:
% 5.25/5.46 rel_str-{F}(V0), complete_relstr-{F}(V0) | empty_carrier-{T}(V0), with_suprema_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #36: input, references = 3, size of lhs = 2:
% 5.25/5.46 rel_str-{F}(V0), complete_relstr-{F}(V0) | empty_carrier-{T}(V0), with_infima_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #37: input, references = 3, size of lhs = 7:
% 5.25/5.46 rel_str-{F}(V0), reflexive_relstr-{F}(V0), transitive_relstr-{F}(V0), antisymmetric_relstr-{F}(V0), upper_bounded_relstr-{F}(V0), up_complete_relstr-{F}(V0), join_complete_relstr-{F}(V0) | empty_carrier-{T}(V0), pppp3-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #38: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp3-{F}(V0) | complete_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #39: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp3-{F}(V0) | with_infima_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #40: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp3-{F}(V0) | with_suprema_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #41: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp3-{F}(V0) | join_complete_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #42: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp3-{F}(V0) | up_complete_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #43: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp3-{F}(V0) | bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #44: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp3-{F}(V0) | upper_bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #45: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp3-{F}(V0) | lower_bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #46: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp3-{F}(V0) | antisymmetric_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #47: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp3-{F}(V0) | transitive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #48: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp3-{F}(V0) | reflexive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #49: input, references = 3, size of lhs = 2:
% 5.25/5.46 pppp3-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #50: input, references = 3, size of lhs = 2:
% 5.25/5.46 rel_str-{F}(V0), empty_carrier-{F}(V0) | v1_yellow_3-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #51: input, references = 3, size of lhs = 3:
% 5.25/5.46 P_powerset-{F}(V0,V1), finite-{F}(V0), element-{F}(V2,V1) | finite-{T}(V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #52: input, references = 3, size of lhs = 3:
% 5.25/5.46 rel_str-{F}(V0), with_infima_relstr-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #53: input, references = 3, size of lhs = 2:
% 5.25/5.46 rel_str-{F}(V0), empty_carrier-{F}(V0) | v1_yellow_3-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #54: input, references = 3, size of lhs = 2:
% 5.25/5.46 rel_str-{F}(V0), complete_relstr-{F}(V0) | empty_carrier-{T}(V0), bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #55: input, references = 3, size of lhs = 3:
% 5.25/5.46 rel_str-{F}(V0), reflexive_relstr-{F}(V0), v1_yellow_3-{F}(V0) | empty_carrier-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #56: input, references = 3, size of lhs = 2:
% 5.25/5.46 rel_str-{F}(V0), bounded_relstr-{F}(V0) | lower_bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #57: input, references = 3, size of lhs = 2:
% 5.25/5.46 rel_str-{F}(V0), bounded_relstr-{F}(V0) | upper_bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #58: input, references = 3, size of lhs = 2:
% 5.25/5.46 rel_str-{F}(V0), heyting_relstr-{F}(V0) | empty_carrier-{T}(V0), pppp4-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #59: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp4-{F}(V0) | with_infima_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #60: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp4-{F}(V0) | with_suprema_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #61: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp4-{F}(V0) | antisymmetric_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #62: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp4-{F}(V0) | transitive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #63: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp4-{F}(V0) | reflexive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #64: input, references = 3, size of lhs = 2:
% 5.25/5.46 pppp4-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #65: input, references = 3, size of lhs = 3:
% 5.25/5.46 rel_str-{F}(V0), lower_bounded_relstr-{F}(V0), upper_bounded_relstr-{F}(V0) | bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #66: input, references = 3, size of lhs = 2:
% 5.25/5.46 rel_str-{F}(V0), heyting_relstr-{F}(V0) | empty_carrier-{T}(V0), distributive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #67: input, references = 3, size of lhs = 2:
% 5.25/5.46 rel_str-{F}(V0), heyting_relstr-{F}(V0) | empty_carrier-{T}(V0), upper_bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #68: input, references = 3, size of lhs = 2:
% 5.25/5.46 rel_str-{F}(V0), boolean_relstr-{F}(V0) | empty_carrier-{T}(V0), pppp5-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #69: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp5-{F}(V0) | complemented_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #70: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp5-{F}(V0) | distributive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #71: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp5-{F}(V0) | bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #72: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp5-{F}(V0) | upper_bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #73: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp5-{F}(V0) | lower_bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #74: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp5-{F}(V0) | with_infima_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #75: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp5-{F}(V0) | with_suprema_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #76: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp5-{F}(V0) | antisymmetric_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #77: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp5-{F}(V0) | transitive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #78: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp5-{F}(V0) | reflexive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #79: input, references = 3, size of lhs = 2:
% 5.25/5.46 pppp5-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #80: input, references = 3, size of lhs = 5:
% 5.25/5.46 rel_str-{F}(V0), reflexive_relstr-{F}(V0), with_suprema_relstr-{F}(V0), up_complete_relstr-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #81: input, references = 3, size of lhs = 4:
% 5.25/5.46 rel_str-{F}(V0), reflexive_relstr-{F}(V0), with_suprema_relstr-{F}(V0), up_complete_relstr-{F}(V0) | upper_bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #82: input, references = 3, size of lhs = 9:
% 5.25/5.46 rel_str-{F}(V0), reflexive_relstr-{F}(V0), transitive_relstr-{F}(V0), antisymmetric_relstr-{F}(V0), with_suprema_relstr-{F}(V0), with_infima_relstr-{F}(V0), bounded_relstr-{F}(V0), distributive_relstr-{F}(V0), complemented_relstr-{F}(V0) | empty_carrier-{T}(V0), pppp6-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #83: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp6-{F}(V0) | boolean_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #84: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp6-{F}(V0) | complemented_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #85: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp6-{F}(V0) | distributive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #86: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp6-{F}(V0) | bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #87: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp6-{F}(V0) | upper_bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #88: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp6-{F}(V0) | lower_bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #89: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp6-{F}(V0) | with_infima_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #90: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp6-{F}(V0) | with_suprema_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #91: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp6-{F}(V0) | antisymmetric_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #92: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp6-{F}(V0) | transitive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #93: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp6-{F}(V0) | reflexive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #94: input, references = 3, size of lhs = 2:
% 5.25/5.46 pppp6-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #95: input, references = 4, size of lhs = 4:
% 5.25/5.46 P_incl_POSet-{F}(V0,V1), P_inclusion_order-{F}(V0,V2), P_rel_str_of-{F}(V0,V2,V3), V1 == V3 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #96: input, references = 3, size of lhs = 2:
% 5.25/5.46 P_rel_str_of-{F}(V0,V1,V2), relation_of2-{F}(V1,V0,V0) | strict_rel_str-{T}(V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #97: input, references = 3, size of lhs = 2:
% 5.25/5.46 P_rel_str_of-{F}(V0,V1,V2), relation_of2-{F}(V1,V0,V0) | rel_str-{T}(V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #98: input, references = 3, size of lhs = 1:
% 5.25/5.46 P_inclusion_relation-{F}(V0,V1) | relation-{T}(V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #99: input, references = 6, size of lhs = 1:
% 5.25/5.46 P_inclusion_order-{F}(V0,V1) | pppp7-{T}(V0,V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #100: input, references = 6, size of lhs = 1:
% 5.25/5.46 pppp7-{F}(V0,V1) | relation_of2_as_subset-{T}(V1,V0,V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #101: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp7-{F}(V0,V1) | v1_partfun1-{T}(V1,V0,V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #102: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp7-{F}(V0,V1) | transitive-{T}(V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #103: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp7-{F}(V0,V1) | antisymmetric-{T}(V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #104: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp7-{F}(V0,V1) | reflexive-{T}(V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #105: input, references = 3, size of lhs = 1:
% 5.25/5.46 P_incl_POSet-{F}(V0,V1) | strict_rel_str-{T}(V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #106: input, references = 3, size of lhs = 1:
% 5.25/5.46 P_incl_POSet-{F}(V0,V1) | rel_str-{T}(V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #107: input, references = 4, size of lhs = 1:
% 5.25/5.46 P_boole_POSet-{F}(V0,V1) | strict_rel_str-{T}(V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #108: input, references = 4, size of lhs = 1:
% 5.25/5.46 P_boole_POSet-{F}(V0,V1) | rel_str-{T}(V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #109: input, references = 3, size of lhs = 1:
% 5.25/5.46 rel_str-{F}(V0) | one_sorted_str-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #110: input, references = 3, size of lhs = 3:
% 5.25/5.46 P_cartesian_product2-{F}(V0,V1,V3), P_powerset-{F}(V3,V4), relation_of2_as_subset-{F}(V2,V0,V1) | element-{T}(V2,V4)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #111: input, references = 3, size of lhs = 3:
% 5.25/5.46 P_the_InternalRel-{F}(V0,V1), P_the_carrier-{F}(V0,V2), rel_str-{F}(V0) | relation_of2_as_subset-{T}(V1,V2,V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #112: input, references = 3, size of lhs = 0:
% 5.25/5.46 FALSE | EXISTS V0: pppp8-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #113: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp8-{F}(V0) | rel_str-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #114: input, references = 3, size of lhs = 0:
% 5.25/5.46 FALSE | EXISTS V0: pppp9-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #115: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp9-{F}(V0) | one_sorted_str-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #116: input, references = 3, size of lhs = 2:
% 5.25/5.46 #-{F} V0, #-{F} V1 | EXISTS V2: pppp10-{T}(V0,V1,V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #117: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp10-{F}(V0,V1,V2) | relation_of2-{T}(V2,V0,V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #118: input, references = 3, size of lhs = 1:
% 5.25/5.46 #-{F} V0 | EXISTS V1: pppp11-{T}(V0,V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #119: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp11-{F}(V0,V1) | element-{T}(V1,V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #120: input, references = 3, size of lhs = 2:
% 5.25/5.46 #-{F} V0, #-{F} V1 | EXISTS V2: pppp12-{T}(V0,V1,V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #121: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp12-{F}(V0,V1,V2) | relation_of2_as_subset-{T}(V2,V0,V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #122: input, references = 3, size of lhs = 3:
% 5.25/5.46 P_the_InternalRel-{F}(V0,V1), rel_str-{F}(V0), empty-{F}(V1) | v1_yellow_3-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #123: input, references = 3, size of lhs = 2:
% 5.25/5.46 P_the_InternalRel-{F}(V0,V1), rel_str-{F}(V0) | v1_yellow_3-{T}(V0), relation-{T}(V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #124: input, references = 3, size of lhs = 3:
% 5.25/5.46 finite-{F}(V0), P_cartesian_product2-{F}(V1,V0,V2), finite-{F}(V1) | finite-{T}(V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #125: input, references = 3, size of lhs = 3:
% 5.25/5.46 P_the_carrier-{F}(V0,V1), one_sorted_str-{F}(V0), empty-{F}(V1) | empty_carrier-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #126: input, references = 3, size of lhs = 2:
% 5.25/5.46 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #127: input, references = 3, size of lhs = 1:
% 5.25/5.46 P_boole_POSet-{F}(V0,V1) | pppp13-{T}(V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #128: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp13-{F}(V0) | distributive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #129: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp13-{F}(V0) | join_complete_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #130: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp13-{F}(V0) | up_complete_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #131: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp13-{F}(V0) | bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #132: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp13-{F}(V0) | upper_bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #133: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp13-{F}(V0) | lower_bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #134: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp13-{F}(V0) | complete_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #135: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp13-{F}(V0) | with_infima_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #136: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp13-{F}(V0) | with_suprema_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #137: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp13-{F}(V0) | antisymmetric_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #138: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp13-{F}(V0) | transitive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #139: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp13-{F}(V0) | reflexive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #140: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp13-{F}(V0) | strict_rel_str-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #141: input, references = 3, size of lhs = 2:
% 5.25/5.46 pppp13-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #142: input, references = 3, size of lhs = 1:
% 5.25/5.46 P_empty_set-{F}(V0) | empty-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #143: input, references = 3, size of lhs = 3:
% 5.25/5.46 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V2,V1,V3), empty-{F}(V3) | empty-{T}(V1), empty-{T}(V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #144: input, references = 3, size of lhs = 2:
% 5.25/5.46 P_empty_set-{F}(V0), P_incl_POSet-{F}(V1,V2) | strict_rel_str-{T}(V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #145: input, references = 3, size of lhs = 2:
% 5.25/5.46 P_empty_set-{F}(V0), P_incl_POSet-{F}(V1,V2) | reflexive_relstr-{T}(V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #146: input, references = 3, size of lhs = 2:
% 5.25/5.46 P_empty_set-{F}(V0), P_incl_POSet-{F}(V1,V2) | transitive_relstr-{T}(V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #147: input, references = 3, size of lhs = 2:
% 5.25/5.46 P_empty_set-{F}(V0), P_incl_POSet-{F}(V1,V2) | antisymmetric_relstr-{T}(V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #148: input, references = 3, size of lhs = 2:
% 5.25/5.46 P_empty_set-{F}(V0), P_incl_POSet-{F}(V1,V2) | empty-{T}(V1), pppp14-{T}(V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #149: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp14-{F}(V0) | antisymmetric_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #150: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp14-{F}(V0) | transitive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #151: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp14-{F}(V0) | reflexive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #152: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp14-{F}(V0) | strict_rel_str-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #153: input, references = 3, size of lhs = 2:
% 5.25/5.46 pppp14-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #154: input, references = 3, size of lhs = 2:
% 5.25/5.46 P_empty_set-{F}(V0), P_boole_POSet-{F}(V1,V2) | pppp15-{T}(V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #155: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp15-{F}(V0) | antisymmetric_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #156: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp15-{F}(V0) | transitive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #157: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp15-{F}(V0) | reflexive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #158: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp15-{F}(V0) | strict_rel_str-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #159: input, references = 3, size of lhs = 2:
% 5.25/5.46 pppp15-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #160: input, references = 3, size of lhs = 2:
% 5.25/5.46 P_empty_set-{F}(V0), P_boole_POSet-{F}(V1,V2) | pppp16-{T}(V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #161: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp16-{F}(V0) | complete_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #162: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp16-{F}(V0) | with_infima_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #163: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp16-{F}(V0) | with_suprema_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #164: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp16-{F}(V0) | bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #165: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp16-{F}(V0) | upper_bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #166: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp16-{F}(V0) | lower_bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #167: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp16-{F}(V0) | antisymmetric_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #168: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp16-{F}(V0) | transitive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #169: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp16-{F}(V0) | reflexive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #170: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp16-{F}(V0) | strict_rel_str-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #171: input, references = 3, size of lhs = 2:
% 5.25/5.46 pppp16-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #172: input, references = 3, size of lhs = 2:
% 5.25/5.46 P_empty_set-{F}(V0), P_boole_POSet-{F}(V1,V2) | pppp17-{T}(V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #173: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp17-{F}(V0) | complemented_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #174: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp17-{F}(V0) | distributive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #175: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp17-{F}(V0) | join_complete_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #176: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp17-{F}(V0) | up_complete_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #177: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp17-{F}(V0) | bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #178: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp17-{F}(V0) | upper_bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #179: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp17-{F}(V0) | lower_bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #180: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp17-{F}(V0) | complete_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #181: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp17-{F}(V0) | with_infima_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #182: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp17-{F}(V0) | with_suprema_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #183: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp17-{F}(V0) | antisymmetric_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #184: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp17-{F}(V0) | transitive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #185: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp17-{F}(V0) | reflexive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #186: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp17-{F}(V0) | strict_rel_str-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #187: input, references = 3, size of lhs = 2:
% 5.25/5.46 pppp17-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #188: input, references = 6, size of lhs = 5:
% 5.25/5.46 P_empty_set-{F}(V0), P_rel_str_of-{F}(V1,V2,V6), relation_of2-{F}(V2,V1,V1), P_rel_str_of-{F}(V4,V5,V6), V1 == V4 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #189: input, references = 5, size of lhs = 5:
% 5.25/5.46 P_empty_set-{F}(V0), P_rel_str_of-{F}(V1,V2,V6), relation_of2-{F}(V2,V1,V1), P_rel_str_of-{F}(V4,V5,V6), V2 == V5 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #190: input, references = 3, size of lhs = 1:
% 5.25/5.46 P_empty_set-{F}(V0) | EXISTS V1: pppp19-{T}(V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #191: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp19-{F}(V0) | pppp18-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #192: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp18-{F}(V0) | join_complete_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #193: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp18-{F}(V0) | up_complete_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #194: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp18-{F}(V0) | bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #195: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp18-{F}(V0) | upper_bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #196: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp18-{F}(V0) | lower_bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #197: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp18-{F}(V0) | complete_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #198: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp18-{F}(V0) | with_infima_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #199: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp18-{F}(V0) | with_suprema_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #200: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp18-{F}(V0) | antisymmetric_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #201: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp18-{F}(V0) | transitive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #202: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp18-{F}(V0) | reflexive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #203: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp18-{F}(V0) | strict_rel_str-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #204: input, references = 3, size of lhs = 2:
% 5.25/5.46 pppp18-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #205: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp18-{F}(V0) | rel_str-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #206: input, references = 3, size of lhs = 1:
% 5.25/5.46 P_empty_set-{F}(V0) | EXISTS V1: pppp20-{T}(V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #207: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp20-{F}(V0) | finite-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #208: input, references = 3, size of lhs = 2:
% 5.25/5.46 pppp20-{F}(V0), empty-{F}(V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #209: input, references = 3, size of lhs = 1:
% 5.25/5.46 P_empty_set-{F}(V0) | EXISTS V1: pppp22-{T}(V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #210: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp22-{F}(V0) | pppp21-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #211: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp21-{F}(V0) | complete_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #212: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp21-{F}(V0) | antisymmetric_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #213: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp21-{F}(V0) | transitive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #214: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp21-{F}(V0) | reflexive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #215: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp21-{F}(V0) | strict_rel_str-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #216: input, references = 3, size of lhs = 2:
% 5.25/5.46 pppp21-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #217: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp21-{F}(V0) | rel_str-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #218: input, references = 3, size of lhs = 2:
% 5.25/5.46 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp42-{T}(V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #219: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp42-{F}(V0) | EXISTS V1: pppp23-{T}(V1,V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #220: input, references = 3, size of lhs = 2:
% 5.25/5.46 pppp23-{F}(V0,V1), empty-{F}(V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #221: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp23-{F}(V0,V1) | element-{T}(V0,V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #222: input, references = 4, size of lhs = 1:
% 5.25/5.46 P_empty_set-{F}(V0) | EXISTS V1: pppp24-{T}(V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #223: input, references = 5, size of lhs = 1:
% 5.25/5.46 pppp24-{F}(V0) | empty-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #224: input, references = 3, size of lhs = 1:
% 5.25/5.46 P_empty_set-{F}(V0) | EXISTS V1: pppp26-{T}(V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #225: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp26-{F}(V0) | pppp25-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #226: input, references = 3, size of lhs = 2:
% 5.25/5.46 pppp25-{F}(V0), v1_yellow_3-{F}(V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #227: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp25-{F}(V0) | antisymmetric_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #228: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp25-{F}(V0) | transitive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #229: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp25-{F}(V0) | reflexive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #230: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp25-{F}(V0) | strict_rel_str-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #231: input, references = 3, size of lhs = 2:
% 5.25/5.46 pppp25-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #232: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp25-{F}(V0) | rel_str-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #233: input, references = 3, size of lhs = 1:
% 5.25/5.46 P_empty_set-{F}(V0) | EXISTS V1: pppp28-{T}(V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #234: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp28-{F}(V0) | pppp27-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #235: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp27-{F}(V0) | complete_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #236: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp27-{F}(V0) | with_infima_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #237: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp27-{F}(V0) | with_suprema_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #238: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp27-{F}(V0) | antisymmetric_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #239: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp27-{F}(V0) | transitive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #240: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp27-{F}(V0) | reflexive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #241: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp27-{F}(V0) | strict_rel_str-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #242: input, references = 3, size of lhs = 2:
% 5.25/5.46 pppp27-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #243: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp27-{F}(V0) | rel_str-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #244: input, references = 4, size of lhs = 2:
% 5.25/5.46 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp29-{T}(V3,V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #245: input, references = 5, size of lhs = 1:
% 5.25/5.46 pppp29-{F}(V0,V1) | empty-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #246: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp29-{F}(V0,V1) | element-{T}(V0,V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #247: input, references = 3, size of lhs = 1:
% 5.25/5.46 P_empty_set-{F}(V0) | EXISTS V1: pppp30-{T}(V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #248: input, references = 3, size of lhs = 2:
% 5.25/5.46 pppp30-{F}(V0), empty-{F}(V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #249: input, references = 3, size of lhs = 1:
% 5.25/5.46 P_empty_set-{F}(V0) | EXISTS V1: pppp32-{T}(V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #250: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp32-{F}(V0) | pppp31-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #251: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp31-{F}(V0) | bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #252: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp31-{F}(V0) | upper_bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #253: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp31-{F}(V0) | lower_bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #254: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp31-{F}(V0) | complete_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #255: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp31-{F}(V0) | with_infima_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #256: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp31-{F}(V0) | with_suprema_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #257: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp31-{F}(V0) | antisymmetric_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #258: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp31-{F}(V0) | transitive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #259: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp31-{F}(V0) | reflexive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #260: input, references = 3, size of lhs = 2:
% 5.25/5.46 pppp31-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #261: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp31-{F}(V0) | rel_str-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #262: input, references = 3, size of lhs = 2:
% 5.25/5.46 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp43-{T}(V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #263: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp43-{F}(V0) | EXISTS V1: pppp33-{T}(V1,V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #264: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp33-{F}(V0,V1) | finite-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #265: input, references = 3, size of lhs = 2:
% 5.25/5.46 pppp33-{F}(V0,V1), empty-{F}(V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #266: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp33-{F}(V0,V1) | element-{T}(V0,V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #267: input, references = 3, size of lhs = 1:
% 5.25/5.46 P_empty_set-{F}(V0) | EXISTS V1: pppp34-{T}(V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #268: input, references = 3, size of lhs = 2:
% 5.25/5.46 pppp34-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #269: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp34-{F}(V0) | one_sorted_str-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #270: input, references = 3, size of lhs = 2:
% 5.25/5.46 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp44-{T}(V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #271: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp44-{F}(V0) | EXISTS V1: pppp35-{T}(V1,V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #272: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp35-{F}(V0,V1) | finite-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #273: input, references = 3, size of lhs = 2:
% 5.25/5.46 pppp35-{F}(V0,V1), empty-{F}(V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #274: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp35-{F}(V0,V1) | element-{T}(V0,V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #275: input, references = 3, size of lhs = 1:
% 5.25/5.46 P_empty_set-{F}(V0) | EXISTS V1: pppp37-{T}(V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #276: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp37-{F}(V0) | pppp36-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #277: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp36-{F}(V0) | boolean_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #278: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp36-{F}(V0) | complemented_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #279: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp36-{F}(V0) | heyting_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #280: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp36-{F}(V0) | distributive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #281: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp36-{F}(V0) | bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #282: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp36-{F}(V0) | upper_bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #283: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp36-{F}(V0) | lower_bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #284: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp36-{F}(V0) | with_infima_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #285: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp36-{F}(V0) | with_suprema_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #286: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp36-{F}(V0) | antisymmetric_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #287: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp36-{F}(V0) | transitive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #288: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp36-{F}(V0) | reflexive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #289: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp36-{F}(V0) | strict_rel_str-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #290: input, references = 3, size of lhs = 2:
% 5.25/5.46 pppp36-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #291: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp36-{F}(V0) | rel_str-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #292: input, references = 3, size of lhs = 4:
% 5.25/5.46 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), P_powerset-{F}(V2,V3), one_sorted_str-{F}(V1) | empty_carrier-{T}(V1), pppp45-{T}(V3)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #293: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp45-{F}(V0) | EXISTS V1: pppp38-{T}(V1,V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #294: input, references = 3, size of lhs = 2:
% 5.25/5.46 pppp38-{F}(V0,V1), empty-{F}(V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #295: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp38-{F}(V0,V1) | element-{T}(V0,V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #296: input, references = 3, size of lhs = 1:
% 5.25/5.46 P_empty_set-{F}(V0) | EXISTS V1: pppp40-{T}(V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #297: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp40-{F}(V0) | pppp39-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #298: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp39-{F}(V0) | heyting_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #299: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp39-{F}(V0) | distributive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #300: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp39-{F}(V0) | upper_bounded_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #301: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp39-{F}(V0) | with_infima_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #302: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp39-{F}(V0) | with_suprema_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #303: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp39-{F}(V0) | antisymmetric_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #304: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp39-{F}(V0) | transitive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #305: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp39-{F}(V0) | reflexive_relstr-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #306: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp39-{F}(V0) | strict_rel_str-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #307: input, references = 3, size of lhs = 2:
% 5.25/5.46 pppp39-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #308: input, references = 3, size of lhs = 1:
% 5.25/5.46 pppp39-{F}(V0) | rel_str-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #309: input, references = 4, size of lhs = 4:
% 5.25/5.46 P_empty_set-{F}(V0), P_inclusion_order-{F}(V1,V2), P_inclusion_relation-{F}(V1,V3), V2 == V3 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #310: input, references = 6, size of lhs = 2:
% 5.25/5.46 P_empty_set-{F}(V0), relation_of2_as_subset-{F}(V3,V1,V2) | relation_of2-{T}(V3,V1,V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #311: input, references = 3, size of lhs = 2:
% 5.25/5.46 P_empty_set-{F}(V0), relation_of2-{F}(V3,V1,V2) | relation_of2_as_subset-{T}(V3,V1,V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #312: input, references = 3, size of lhs = 2:
% 5.25/5.46 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #313: input, references = 3, size of lhs = 2:
% 5.25/5.46 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #314: input, references = 4, size of lhs = 2:
% 5.25/5.46 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #315: input, references = 3, size of lhs = 3:
% 5.25/5.46 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #316: input, references = 3, size of lhs = 3:
% 5.25/5.46 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #317: input, references = 3, size of lhs = 4:
% 5.25/5.46 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #318: input, references = 4, size of lhs = 1:
% 5.25/5.46 P_empty_set-{F}(V0) | EXISTS V1: pppp41-{T}(V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #319: input, references = 4, size of lhs = 4:
% 5.25/5.46 pppp41-{F}(V0), P_boole_POSet-{F}(V0,V1), P_the_carrier-{F}(V1,V3), P_powerset-{F}(V0,V3) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #320: input, references = 5, size of lhs = 5:
% 5.25/5.46 P_empty_set-{F}(V0), P_boole_POSet-{F}(V1,V2), P_powerset-{F}(V1,V3), P_incl_POSet-{F}(V3,V4), V2 == V4 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #321: input, references = 3, size of lhs = 5:
% 5.25/5.46 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #322: input, references = 5, size of lhs = 3:
% 5.25/5.46 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #323: input, references = 3, size of lhs = 3:
% 5.25/5.46 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #324: input, references = 5, size of lhs = 4:
% 5.25/5.46 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #325: input, references = 5, size of lhs = 2:
% 5.25/5.46 #-{F} V0, #-{F} V1 | EXISTS V2: P_rel_str_of-{T}(V0,V1,V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #326: input, references = 5, size of lhs = 1:
% 5.25/5.46 #-{F} V0 | EXISTS V1: P_the_carrier-{T}(V0,V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #327: input, references = 5, size of lhs = 1:
% 5.25/5.46 #-{F} V0 | EXISTS V1: P_the_InternalRel-{T}(V0,V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #328: input, references = 4, size of lhs = 1:
% 5.25/5.46 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #329: input, references = 4, size of lhs = 1:
% 5.25/5.46 #-{F} V0 | EXISTS V1: P_incl_POSet-{T}(V0,V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #330: input, references = 6, size of lhs = 1:
% 5.25/5.46 #-{F} V0 | EXISTS V1: P_inclusion_order-{T}(V0,V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #331: input, references = 4, size of lhs = 1:
% 5.25/5.46 #-{F} V0 | EXISTS V1: P_inclusion_relation-{T}(V0,V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #332: input, references = 5, size of lhs = 1:
% 5.25/5.46 #-{F} V0 | EXISTS V1: P_boole_POSet-{T}(V0,V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #333: input, references = 3, size of lhs = 2:
% 5.25/5.46 #-{F} V0, #-{F} V1 | EXISTS V2: P_cartesian_product2-{T}(V0,V1,V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #334: input, references = 4, size of lhs = 0:
% 5.25/5.46 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 number of initial rules = 335
% 5.25/5.46
% 5.25/5.46 Simplifiers:
% 5.25/5.46 #335: unsound, references = 3, size of lhs = 2:
% 5.25/5.46 v1_partfun1-{F}(V0,V1,V2), V2 == V1 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #336: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 v1_partfun1-{F}(V0,V1,V2), v1_partfun1-{F}(V3,V1,V5), V0 == V3 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #337: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 P_rel_str_of-{F}(V0,V1,V2), P_rel_str_of-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #338: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 P_the_carrier-{F}(V0,V1), P_the_carrier-{F}(V0,V3), V1 == V3 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #339: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 P_the_InternalRel-{F}(V0,V1), P_the_InternalRel-{F}(V0,V3), V1 == V3 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #340: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #341: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 P_incl_POSet-{F}(V0,V1), P_incl_POSet-{F}(V0,V3), V1 == V3 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #342: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 P_inclusion_order-{F}(V0,V1), P_inclusion_order-{F}(V0,V3), V1 == V3 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #343: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 P_inclusion_relation-{F}(V0,V1), P_inclusion_relation-{F}(V0,V3), V1 == V3 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #344: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 P_boole_POSet-{F}(V0,V1), P_boole_POSet-{F}(V0,V3), V1 == V3 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #345: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 P_cartesian_product2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #346: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #347: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #348: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #349: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #350: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 pppp10-{F}(V0,V1,V2), pppp10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #351: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 pppp11-{F}(V0,V1), pppp11-{F}(V0,V3), V1 == V3 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #352: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 pppp12-{F}(V0,V1,V2), pppp12-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #353: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #354: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 pppp19-{F}(V0), pppp19-{F}(V1), V0 == V1 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #355: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 pppp20-{F}(V0), pppp20-{F}(V1), V0 == V1 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #356: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 pppp21-{F}(V0), pppp21-{F}(V1), V0 == V1 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #357: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 pppp22-{F}(V0), pppp22-{F}(V1), V0 == V1 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #358: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 pppp23-{F}(V0,V1), pppp23-{F}(V2,V1), V0 == V2 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #359: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 pppp24-{F}(V0), pppp24-{F}(V1), V0 == V1 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #360: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 pppp25-{F}(V0), pppp25-{F}(V1), V0 == V1 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #361: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 pppp26-{F}(V0), pppp26-{F}(V1), V0 == V1 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #362: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 pppp27-{F}(V0), pppp27-{F}(V1), V0 == V1 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #363: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 pppp28-{F}(V0), pppp28-{F}(V1), V0 == V1 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #364: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 pppp29-{F}(V0,V1), pppp29-{F}(V2,V1), V0 == V2 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #365: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 pppp30-{F}(V0), pppp30-{F}(V1), V0 == V1 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #366: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 pppp31-{F}(V0), pppp31-{F}(V1), V0 == V1 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #367: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 pppp32-{F}(V0), pppp32-{F}(V1), V0 == V1 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #368: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 pppp33-{F}(V0,V1), pppp33-{F}(V2,V1), V0 == V2 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #369: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 pppp34-{F}(V0), pppp34-{F}(V1), V0 == V1 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #370: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 pppp35-{F}(V0,V1), pppp35-{F}(V2,V1), V0 == V2 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #371: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 pppp36-{F}(V0), pppp36-{F}(V1), V0 == V1 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #372: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 pppp37-{F}(V0), pppp37-{F}(V1), V0 == V1 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #373: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 pppp38-{F}(V0,V1), pppp38-{F}(V2,V1), V0 == V2 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #374: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 pppp39-{F}(V0), pppp39-{F}(V1), V0 == V1 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #375: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 pppp40-{F}(V0), pppp40-{F}(V1), V0 == V1 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #376: unsound, references = 3, size of lhs = 3:
% 5.25/5.46 pppp41-{F}(V0), pppp41-{F}(V1), V0 == V1 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 number of simplifiers = 42
% 5.25/5.46
% 5.25/5.46 Learnt:
% 5.25/5.46 #378: exists( #331, #309 ), references = 1, size of lhs = 2:
% 5.25/5.46 P_empty_set-{F}(V0), P_inclusion_order-{F}(V1,V2) | P_inclusion_relation-{T}(V1,V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #381: exists( #325, #95 ), references = 6, size of lhs = 2:
% 5.25/5.46 P_incl_POSet-{F}(V0,V1), P_inclusion_order-{F}(V0,V2) | P_rel_str_of-{T}(V0,V2,V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #385: exists( #325, #0 ), references = 4, size of lhs = 4:
% 5.25/5.46 rel_str-{F}(V0), strict_rel_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_the_InternalRel-{F}(V0,V2) | P_rel_str_of-{T}(V1,V2,V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #392: mergings( V0 == V2; #389 ), references = 1, size of lhs = 1:
% 5.25/5.46 P_empty_set-{F}(V0) | pppp24-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #394: mergings( V0 == V2; #390 ), references = 1, size of lhs = 2:
% 5.25/5.46 P_empty_set-{F}(V0), empty-{F}(V1) | pppp24-{T}(V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #424: exists( #327, #420 ), references = 1, size of lhs = 7:
% 5.25/5.46 rel_str-{F}(V0), strict_rel_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_empty_set-{F}(V2), relation_of2-{F}(V3,V4,V4), V4 == V1, P_rel_str_of-{F}(V4,V3,V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #426: mergings( V5 == V2; #422 ), references = 1, size of lhs = 6:
% 5.25/5.46 rel_str-{F}(V0), strict_rel_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_empty_set-{F}(V2), relation_of2-{F}(V3,V1,V1), P_rel_str_of-{F}(V1,V3,V0) | P_the_InternalRel-{T}(V0,V3)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #428: exists( #326, #423 ), references = 2, size of lhs = 5:
% 5.25/5.46 rel_str-{F}(V0), strict_rel_str-{F}(V0), P_empty_set-{F}(V1), relation_of2-{F}(V2,V3,V3), P_rel_str_of-{F}(V3,V2,V0) | P_the_carrier-{T}(V0,V3)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #433: exists( #330, #429 ), references = 2, size of lhs = 5:
% 5.25/5.46 P_empty_set-{F}(V0), P_incl_POSet-{F}(V1,V2), relation_of2-{F}(V3,V4,V4), V4 == V1, P_rel_str_of-{F}(V4,V3,V2) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #435: mergings( V5 == V0; #432 ), references = 1, size of lhs = 4:
% 5.25/5.46 P_empty_set-{F}(V0), relation_of2-{F}(V1,V2,V2), P_incl_POSet-{F}(V2,V3), P_rel_str_of-{F}(V2,V1,V3) | P_inclusion_order-{T}(V2,V1)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #453: exists( #329, #320 ), references = 2, size of lhs = 3:
% 5.25/5.46 P_empty_set-{F}(V0), P_boole_POSet-{F}(V1,V2), P_powerset-{F}(V1,V3) | P_incl_POSet-{T}(V3,V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #500: mergings( V2 == V3; #497 ), references = 1, size of lhs = 4:
% 5.25/5.46 P_empty_set-{F}(V0), P_incl_POSet-{F}(V1,V2), P_incl_POSet-{F}(V3,V2), V1 == V3 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #502: mergings( V2 == V3; #498 ), references = 2, size of lhs = 4:
% 5.25/5.46 P_empty_set-{F}(V0), P_incl_POSet-{F}(V1,V2), P_rel_str_of-{F}(V3,V4,V2), V1 == V3 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #525: exists( #332, #320 ), references = 1, size of lhs = 3:
% 5.25/5.46 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_incl_POSet-{F}(V2,V3) | P_boole_POSet-{T}(V1,V3)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #530: disj( #314, input ), references = 1, size of lhs = 3:
% 5.25/5.46 P_empty_set-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V3,V2) | in-{T}(V1,V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #532: mergings( V0 == V3; #528 ), references = 1, size of lhs = 3:
% 5.25/5.46 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #535: mergings( V0 == V3, V2 == V3; #529 ), references = 1, size of lhs = 4:
% 5.25/5.46 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #575: mergings( V2 == V4; #573 ), references = 2, size of lhs = 7:
% 5.25/5.46 rel_str-{F}(V0), strict_rel_str-{F}(V0), P_empty_set-{F}(V1), pppp41-{F}(V2), P_boole_POSet-{F}(V2,V0), P_powerset-{F}(V2,V3), P_incl_POSet-{F}(V3,V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #586: mergings( V0 == V4; #583 ), references = 1, size of lhs = 2:
% 5.25/5.46 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp29-{T}(V0,V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #588: mergings( V0 == V4; #584 ), references = 1, size of lhs = 3:
% 5.25/5.46 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V2,V3) | pppp29-{T}(V1,V3)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #630: disj( #27, input ), references = 1, size of lhs = 6:
% 5.25/5.46 rel_str-{F}(V0), reflexive_relstr-{F}(V0), antisymmetric_relstr-{F}(V0), upper_bounded_relstr-{F}(V0), join_complete_relstr-{F}(V0), pppp13-{F}(V0) | pppp2-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #631: disj( #27, input ), references = 1, size of lhs = 6:
% 5.25/5.46 reflexive_relstr-{F}(V0), antisymmetric_relstr-{F}(V0), upper_bounded_relstr-{F}(V0), join_complete_relstr-{F}(V0), rel_str-{F}(V0), with_suprema_relstr-{F}(V0) | pppp2-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #632: disj( #27, input ), references = 1, size of lhs = 6:
% 5.25/5.46 reflexive_relstr-{F}(V0), antisymmetric_relstr-{F}(V0), upper_bounded_relstr-{F}(V0), join_complete_relstr-{F}(V0), rel_str-{F}(V0), with_infima_relstr-{F}(V0) | pppp2-{T}(V0)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #638: exists( #327, #636 ), references = 1, size of lhs = 6:
% 5.25/5.46 rel_str-{F}(V0), strict_rel_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_empty_set-{F}(V2), P_incl_POSet-{F}(V3,V0), V3 == V1 | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #640: exists( #326, #637 ), references = 1, size of lhs = 4:
% 5.25/5.46 rel_str-{F}(V0), strict_rel_str-{F}(V0), P_empty_set-{F}(V1), P_incl_POSet-{F}(V2,V0) | P_the_carrier-{T}(V0,V2)
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #692: mergings( V2 == V3; #690 ), references = 1, size of lhs = 3:
% 5.25/5.46 P_empty_set-{F}(V0), pppp41-{F}(V1), P_powerset-{F}(V1,V2) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #695: mergings( V2 == V3; #693 ), references = 1, size of lhs = 2:
% 5.25/5.46 P_empty_set-{F}(V0), pppp41-{F}(V1) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #699: mergings( V0 == V2, V2 == V3; #696 ), references = 1, size of lhs = 1:
% 5.25/5.46 P_empty_set-{F}(V0) | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 #701: exists( #334, #696 ), references = 1, size of lhs = 0:
% 5.25/5.46 FALSE | FALSE
% 5.25/5.46 (used 0 times, uses = {})
% 5.25/5.46
% 5.25/5.46 number of learnt formulas = 29
% 5.25/5.46
% 5.25/5.46
% 5.25/5.46 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.25/5.46
% 5.25/5.46 randbase = 1
%------------------------------------------------------------------------------