%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU268+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n017.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 06:17:40 EDT 2022
% Result : Theorem 5.31s 5.51s
% Output : Refutation 5.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU268+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n017.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 18:06:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 5.31/5.51 GeoParameters:
% 5.31/5.51
% 5.31/5.51 tptp_input = 1
% 5.31/5.51 tptp_output = 0
% 5.31/5.51 nonempty = 1
% 5.31/5.51 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.31/5.51 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 5.31/5.51
% 5.31/5.51
% 5.31/5.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.31/5.51 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.31/5.51
% 5.31/5.51 RuleSystem INPUT:
% 5.31/5.51
% 5.31/5.51 Initial Rules:
% 5.31/5.51 #0: input, references = 8, size of lhs = 2:
% 5.31/5.51 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #1: input, references = 3, size of lhs = 1:
% 5.31/5.51 empty-{F}(V0) | function-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #2: input, references = 3, size of lhs = 1:
% 5.31/5.51 ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #3: input, references = 3, size of lhs = 1:
% 5.31/5.51 ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #4: input, references = 3, size of lhs = 3:
% 5.31/5.51 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #5: input, references = 3, size of lhs = 2:
% 5.31/5.51 epsilon_transitive-{F}(V0), epsilon_connected-{F}(V0) | ordinal-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #6: input, references = 3, size of lhs = 1:
% 5.31/5.51 empty-{F}(V0) | epsilon_transitive-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #7: input, references = 3, size of lhs = 1:
% 5.31/5.51 empty-{F}(V0) | epsilon_connected-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #8: input, references = 3, size of lhs = 1:
% 5.31/5.51 empty-{F}(V0) | ordinal-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #9: input, references = 4, size of lhs = 3:
% 5.31/5.51 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #10: input, references = 4, size of lhs = 3:
% 5.31/5.51 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #11: input, references = 3, size of lhs = 2:
% 5.31/5.51 relation-{F}(V0), is_reflexive_in-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #12: input, references = 4, size of lhs = 2:
% 5.31/5.51 relation-{F}(V0), pppp0-{F}(V0,V1) | is_reflexive_in-{T}(V0,V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #13: input, references = 13, size of lhs = 3:
% 5.31/5.51 pppp0-{F}(V0,V1), P_ordered_pair-{F}(V2,V2,V3), in-{F}(V2,V1) | in-{T}(V3,V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #14: input, references = 11, size of lhs = 2:
% 5.31/5.51 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp19-{T}(V0,V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #15: input, references = 6, size of lhs = 1:
% 5.31/5.51 pppp19-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #16: input, references = 5, size of lhs = 3:
% 5.31/5.51 pppp2-{F}(V0,V1,V2), P_ordered_pair-{F}(V2,V2,V3), in-{F}(V3,V0) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #17: input, references = 7, size of lhs = 2:
% 5.31/5.51 pppp2-{F}(V0,V1,V2), P_ordered_pair-{F}(V2,V2,V3) | in-{T}(V2,V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #18: input, references = 9, size of lhs = 2:
% 5.31/5.51 relation-{F}(V2), P_inclusion_relation-{F}(V1,V2) | pppp1-{T}(V1,V2)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #19: input, references = 3, size of lhs = 4:
% 5.31/5.51 relation-{F}(V0), P_inclusion_relation-{F}(V1,V2), pppp1-{F}(V1,V0), V0 == V2 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #20: input, references = 4, size of lhs = 3:
% 5.31/5.51 P_relation_field-{F}(V1,V2), pppp1-{F}(V0,V1), V2 == V0 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #21: input, references = 9, size of lhs = 6:
% 5.31/5.51 P_relation_field-{F}(V1,V2), pppp1-{F}(V0,V1), in-{F}(V3,V0), P_ordered_pair-{F}(V4,V3,V5), in-{F}(V4,V0), in-{F}(V5,V1) | subset-{T}(V4,V3)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #22: input, references = 13, size of lhs = 6:
% 5.31/5.51 P_relation_field-{F}(V1,V2), pppp1-{F}(V0,V1), in-{F}(V3,V0), P_ordered_pair-{F}(V4,V3,V5), in-{F}(V4,V0), subset-{F}(V4,V3) | in-{T}(V5,V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #23: input, references = 5, size of lhs = 1:
% 5.31/5.51 P_relation_field-{F}(V1,V0) | pppp1-{T}(V0,V1), pppp20-{T}(V0,V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #24: input, references = 4, size of lhs = 1:
% 5.31/5.51 pppp20-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V1,V2)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #25: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp5-{F}(V0,V1,V2) | EXISTS V3: pppp4-{T}(V0,V1,V2,V3)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #26: input, references = 6, size of lhs = 1:
% 5.31/5.51 pppp5-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #27: input, references = 3, size of lhs = 2:
% 5.31/5.51 pppp4-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V3,V2,V4) | pppp3-{T}(V0,V1,V3,V2,V4)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #28: input, references = 3, size of lhs = 3:
% 5.31/5.51 pppp3-{F}(V0,V1,V2,V3,V4), subset-{F}(V2,V3), in-{F}(V4,V1) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #29: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp3-{F}(V0,V1,V2,V3,V4) | in-{T}(V4,V1), subset-{T}(V2,V3)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #30: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp3-{F}(V0,V1,V2,V3,V4) | in-{T}(V2,V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #31: input, references = 5, size of lhs = 5:
% 5.31/5.51 P_ordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V3), P_singleton-{F}(V0,V4), P_unordered_pair-{F}(V3,V4,V5), V2 == V5 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #32: input, references = 5, size of lhs = 6:
% 5.31/5.51 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
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #33: input, references = 3, size of lhs = 3:
% 5.31/5.51 P_relation_field-{F}(V0,V1), relation-{F}(V0), reflexive-{F}(V0) | is_reflexive_in-{T}(V0,V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #34: input, references = 4, size of lhs = 3:
% 5.31/5.51 P_relation_field-{F}(V0,V1), relation-{F}(V0), is_reflexive_in-{F}(V0,V1) | reflexive-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #35: input, references = 9, size of lhs = 1:
% 5.31/5.51 P_inclusion_relation-{F}(V0,V1) | relation-{T}(V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #36: input, references = 5, size of lhs = 1:
% 5.31/5.51 #-{F} V0 | EXISTS V1: pppp6-{T}(V0,V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #37: input, references = 5, size of lhs = 1:
% 5.31/5.51 pppp6-{F}(V0,V1) | element-{T}(V1,V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #38: input, references = 3, size of lhs = 1:
% 5.31/5.51 P_empty_set-{F}(V0) | empty-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #39: input, references = 4, size of lhs = 3:
% 5.31/5.51 P_empty_set-{F}(V0), P_ordered_pair-{F}(V1,V2,V3), empty-{F}(V3) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #40: input, references = 3, size of lhs = 1:
% 5.31/5.51 P_empty_set-{F}(V0) | pppp7-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #41: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp7-{F}(V0) | ordinal-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #42: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp7-{F}(V0) | epsilon_connected-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #43: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp7-{F}(V0) | epsilon_transitive-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #44: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp7-{F}(V0) | empty-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #45: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp7-{F}(V0) | one_to_one-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #46: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp7-{F}(V0) | function-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #47: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp7-{F}(V0) | relation_empty_yielding-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #48: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp7-{F}(V0) | relation-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #49: input, references = 4, size of lhs = 3:
% 5.31/5.51 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), empty-{F}(V3) | empty-{T}(V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #50: input, references = 5, size of lhs = 3:
% 5.31/5.51 P_empty_set-{F}(V0), P_set_union2-{F}(V2,V1,V3), empty-{F}(V3) | empty-{T}(V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #51: input, references = 4, size of lhs = 3:
% 5.31/5.51 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #52: input, references = 3, size of lhs = 1:
% 5.31/5.51 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #53: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp8-{F}(V0) | function-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #54: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp8-{F}(V0) | relation-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #55: input, references = 3, size of lhs = 1:
% 5.31/5.51 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #56: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp9-{F}(V0) | ordinal-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #57: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp9-{F}(V0) | epsilon_connected-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #58: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp9-{F}(V0) | epsilon_transitive-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #59: input, references = 4, size of lhs = 1:
% 5.31/5.51 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #60: input, references = 5, size of lhs = 1:
% 5.31/5.51 pppp10-{F}(V0) | empty-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #61: input, references = 4, size of lhs = 1:
% 5.31/5.51 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #62: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp11-{F}(V0) | function-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #63: input, references = 5, size of lhs = 1:
% 5.31/5.51 pppp11-{F}(V0) | empty-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #64: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp11-{F}(V0) | relation-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #65: input, references = 4, size of lhs = 1:
% 5.31/5.51 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #66: input, references = 5, size of lhs = 1:
% 5.31/5.51 pppp13-{F}(V0) | pppp12-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #67: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp12-{F}(V0) | ordinal-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #68: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp12-{F}(V0) | epsilon_connected-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #69: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp12-{F}(V0) | epsilon_transitive-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #70: input, references = 5, size of lhs = 1:
% 5.31/5.51 pppp12-{F}(V0) | empty-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #71: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp12-{F}(V0) | one_to_one-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #72: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp12-{F}(V0) | function-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #73: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp12-{F}(V0) | relation-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #74: input, references = 3, size of lhs = 1:
% 5.31/5.51 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #75: input, references = 4, size of lhs = 2:
% 5.31/5.51 pppp14-{F}(V0), empty-{F}(V0) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #76: input, references = 3, size of lhs = 1:
% 5.31/5.51 P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #77: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp15-{F}(V0) | one_to_one-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #78: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp15-{F}(V0) | function-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #79: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp15-{F}(V0) | relation-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #80: input, references = 3, size of lhs = 1:
% 5.31/5.51 P_empty_set-{F}(V0) | EXISTS V1: pppp16-{T}(V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #81: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp16-{F}(V0) | ordinal-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #82: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp16-{F}(V0) | epsilon_connected-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #83: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp16-{F}(V0) | epsilon_transitive-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #84: input, references = 3, size of lhs = 2:
% 5.31/5.51 pppp16-{F}(V0), empty-{F}(V0) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #85: input, references = 3, size of lhs = 1:
% 5.31/5.51 P_empty_set-{F}(V0) | EXISTS V1: pppp17-{T}(V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #86: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp17-{F}(V0) | function-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #87: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp17-{F}(V0) | relation_empty_yielding-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #88: input, references = 3, size of lhs = 1:
% 5.31/5.51 pppp17-{F}(V0) | relation-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #89: input, references = 4, size of lhs = 2:
% 5.31/5.51 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #90: input, references = 4, size of lhs = 3:
% 5.31/5.51 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V0,V2), V2 == V1 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #91: input, references = 4, size of lhs = 2:
% 5.31/5.51 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #92: input, references = 5, size of lhs = 2:
% 5.31/5.51 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #93: input, references = 4, size of lhs = 1:
% 5.31/5.51 P_empty_set-{F}(V0) | EXISTS V1: pppp18-{T}(V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #94: input, references = 4, size of lhs = 3:
% 5.31/5.51 pppp18-{F}(V0), P_inclusion_relation-{F}(V0,V1), reflexive-{F}(V1) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #95: input, references = 3, size of lhs = 3:
% 5.31/5.51 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #96: input, references = 7, size of lhs = 3:
% 5.31/5.51 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #97: input, references = 5, size of lhs = 4:
% 5.31/5.51 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #98: input, references = 9, size of lhs = 5:
% 5.31/5.51 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #99: input, references = 7, size of lhs = 3:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #100: input, references = 8, size of lhs = 3:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #101: input, references = 7, size of lhs = 4:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #102: input, references = 7, size of lhs = 2:
% 5.31/5.51 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #103: input, references = 6, size of lhs = 2:
% 5.31/5.51 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_union2-{T}(V0,V1,V2)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #104: input, references = 12, size of lhs = 2:
% 5.31/5.51 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #105: input, references = 8, size of lhs = 1:
% 5.31/5.51 #-{F} V0 | EXISTS V1: P_inclusion_relation-{T}(V0,V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #106: input, references = 4, size of lhs = 1:
% 5.31/5.51 #-{F} V0 | EXISTS V1: P_relation_field-{T}(V0,V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #107: input, references = 3, size of lhs = 1:
% 5.31/5.51 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #108: input, references = 4, size of lhs = 1:
% 5.31/5.51 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #109: input, references = 4, size of lhs = 1:
% 5.31/5.51 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #110: input, references = 4, size of lhs = 0:
% 5.31/5.51 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #111: input, references = 4, size of lhs = 1:
% 5.31/5.51 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 number of initial rules = 112
% 5.31/5.51
% 5.31/5.51 Simplifiers:
% 5.31/5.51 #112: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #113: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #114: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #115: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 P_inclusion_relation-{F}(V0,V1), P_inclusion_relation-{F}(V0,V3), V1 == V3 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #116: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 P_relation_field-{F}(V0,V1), P_relation_field-{F}(V0,V3), V1 == V3 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #117: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #118: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #119: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #120: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #121: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #122: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #123: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V0,V1,V7,V3,V9), V2 == V7 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #124: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V0,V1,V7,V8,V9), V3 == V8 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #125: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V1,V7,V8,V9), V0 == V5 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #126: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V6,V2,V3,V9), V4 == V9 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #127: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #128: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V6,V7), V2 == V6 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #129: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V1,V6,V7), V0 == V4 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #130: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #131: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V1,V5), V0 == V3 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #132: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #133: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #134: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #135: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #136: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #137: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #138: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #139: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #140: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #141: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #142: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #143: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #144: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #145: unsound, references = 3, size of lhs = 3:
% 5.31/5.51 pppp20-{F}(V0,V1), pppp20-{F}(V2,V1), V0 == V2 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 number of simplifiers = 34
% 5.31/5.51
% 5.31/5.51 Learnt:
% 5.31/5.51 #147: exists( #106, #20 ), references = 7, size of lhs = 1:
% 5.31/5.51 pppp1-{F}(V0,V1) | P_relation_field-{T}(V1,V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #154: mergings( V0 == V2; #151 ), references = 1, size of lhs = 1:
% 5.31/5.51 P_empty_set-{F}(V0) | pppp11-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #156: mergings( V0 == V2; #152 ), references = 1, size of lhs = 2:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1) | pppp11-{T}(V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #163: mergings( V0 == V2; #160 ), references = 1, size of lhs = 1:
% 5.31/5.51 P_empty_set-{F}(V0) | pppp10-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #165: mergings( V0 == V2; #161 ), references = 1, size of lhs = 2:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1) | pppp10-{T}(V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #173: mergings( V0 == V2; #170 ), references = 1, size of lhs = 1:
% 5.31/5.51 P_empty_set-{F}(V0) | pppp13-{T}(V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #175: mergings( V0 == V2; #171 ), references = 1, size of lhs = 2:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1) | pppp13-{T}(V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #177: exists( #103, #90 ), references = 2, size of lhs = 2:
% 5.31/5.51 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V0,V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #180: exists( #103, #51 ), references = 1, size of lhs = 2:
% 5.31/5.51 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V1,V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #181: exists( #103, #32 ), references = 4, size of lhs = 4:
% 5.31/5.51 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)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #183: exists( #103, #10 ), references = 1, size of lhs = 1:
% 5.31/5.51 P_set_union2-{F}(V0,V1,V2) | P_set_union2-{T}(V1,V0,V2)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #185: exists( #104, #31 ), references = 4, size of lhs = 3:
% 5.31/5.51 P_singleton-{F}(V0,V1), P_unordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V3,V1,V4) | P_ordered_pair-{T}(V0,V2,V4)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #187: exists( #102, #31 ), references = 3, size of lhs = 3:
% 5.31/5.51 P_singleton-{F}(V0,V1), P_ordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V0,V2,V4) | P_unordered_pair-{T}(V4,V1,V3)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #199: exists( #109, #195 ), references = 1, size of lhs = 6:
% 5.31/5.51 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), pppp14-{F}(V2), P_empty_set-{F}(V3) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #201: mergings( V4 == V5; #196 ), references = 2, size of lhs = 5:
% 5.31/5.51 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)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #203: mergings( V4 == V5; #197 ), references = 1, size of lhs = 6:
% 5.31/5.51 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)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #205: exists( #102, #9 ), references = 1, size of lhs = 1:
% 5.31/5.51 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #208: disj( #92, #22+#0 ), references = 1, size of lhs = 6:
% 5.31/5.51 P_empty_set-{F}(V0), subset-{F}(V1,V1), element-{F}(V1,V2), pppp1-{F}(V2,V3), P_ordered_pair-{F}(V1,V1,V3), P_relation_field-{F}(V3,V4) | empty-{T}(V2)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #220: disj( #23, input ), references = 1, size of lhs = 4:
% 5.31/5.51 relation-{F}(V0), P_relation_field-{F}(V0,V1), P_inclusion_relation-{F}(V1,V2), V0 == V2 | pppp20-{T}(V1,V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #225: mergings( V0 == V3; #221 ), references = 3, size of lhs = 3:
% 5.31/5.51 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #228: mergings( V0 == V3, V2 == V3; #222 ), references = 1, size of lhs = 4:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #231: mergings( V0 == V3, V2 == V3; #223 ), references = 1, size of lhs = 3:
% 5.31/5.51 P_empty_set-{F}(V0), element-{F}(V1,V0), P_ordered_pair-{F}(V2,V3,V0) | in-{T}(V1,V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #240: exists( #104, #236 ), references = 1, size of lhs = 7:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), P_relation_field-{F}(V1,V2), pppp1-{F}(V3,V1), in-{F}(V4,V3), subset-{F}(V4,V5), in-{F}(V5,V3) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #253: disj( #14, #13+#0 ), references = 1, size of lhs = 3:
% 5.31/5.51 in-{F}(V0,V1), P_ordered_pair-{F}(V0,V0,V2), in-{F}(V3,V2) | pppp19-{T}(V3,V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #254: disj( #14, #13+#100 ), references = 1, size of lhs = 4:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V3), P_ordered_pair-{F}(V2,V2,V4) | pppp19-{T}(V1,V3)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #255: disj( #14, #13+#98 ), references = 1, size of lhs = 6:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), in-{F}(V4,V5), P_ordered_pair-{F}(V4,V4,V6) | pppp19-{T}(V3,V5)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #270: mergings( V2 == V3; #268 ), references = 3, size of lhs = 12:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), in-{F}(V3,V4), in-{F}(V5,V4), subset-{F}(V5,V6), in-{F}(V6,V4), P_ordered_pair-{F}(V5,V6,V7), in-{F}(V8,V4), P_ordered_pair-{F}(V8,V3,V7), in-{F}(V9,V8) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #320: mergings( V2 == V3; #318 ), references = 2, size of lhs = 10:
% 5.31/5.51 P_empty_set-{F}(V0), in-{F}(V1,V2), subset-{F}(V1,V3), in-{F}(V3,V2), P_ordered_pair-{F}(V1,V3,V4), in-{F}(V5,V2), P_powerset-{F}(V5,V6), V6 == V0, in-{F}(V6,V2), P_ordered_pair-{F}(V6,V5,V4) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #334: disj( #14, #13+#0 ), references = 1, size of lhs = 2:
% 5.31/5.51 P_ordered_pair-{F}(V0,V0,V1), in-{F}(V0,V2) | pppp19-{T}(V1,V2)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #335: disj( #14, #13+#270 ), references = 1, size of lhs = 11:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), in-{F}(V3,V4), subset-{F}(V5,V5), P_ordered_pair-{F}(V6,V6,V5), in-{F}(V6,V7), P_ordered_pair-{F}(V5,V5,V8), P_ordered_pair-{F}(V5,V3,V8), in-{F}(V9,V5) | pppp19-{T}(V4,V7)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #336: disj( #14, #13+#16 ), references = 1, size of lhs = 4:
% 5.31/5.51 in-{F}(V0,V1), P_ordered_pair-{F}(V0,V0,V2), P_ordered_pair-{F}(V3,V3,V2), pppp2-{F}(V4,V5,V3) | pppp19-{T}(V4,V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #344: mergings( V2 == V4; #342 ), references = 1, size of lhs = 4:
% 5.31/5.51 empty-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), P_relation_field-{F}(V2,V0) | P_relation_dom-{T}(V2,V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #349: exists( #104, #346 ), references = 1, size of lhs = 4:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V2) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #351: disj( #14, exists( #104, #346 ) ), references = 1, size of lhs = 3:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V3) | pppp19-{T}(V1,V3)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #371: mergings( V2 == V3; #369 ), references = 4, size of lhs = 5:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), V3 == V0 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #383: mergings( V2 == V3; #381 ), references = 2, size of lhs = 5:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp0-{F}(V2,V3), in-{F}(V4,V3) | P_ordered_pair-{T}(V4,V4,V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #401: exists( #104, #399 ), references = 1, size of lhs = 2:
% 5.31/5.51 in-{F}(V0,V1), pppp2-{F}(V2,V0,V1) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #412: exists( #36, #409 ), references = 1, size of lhs = 3:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2) | pppp6-{T}(V2,V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #435: mergings( V2 == V3, V3 == V4; #431 ), references = 3, size of lhs = 6:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), subset-{F}(V3,V2), in-{F}(V4,V3), in-{F}(V5,V4) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #438: mergings( V2 == V3, V3 == V4; #432 ), references = 4, size of lhs = 6:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), subset-{F}(V3,V2), in-{F}(V4,V3), V4 == V0 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #450: disj( #14, #12+#34+#94 ), references = 3, size of lhs = 4:
% 5.31/5.51 relation-{F}(V0), P_relation_field-{F}(V0,V1), pppp18-{F}(V2), P_inclusion_relation-{F}(V2,V0) | pppp19-{T}(V0,V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #469: exists( #105, #465 ), references = 2, size of lhs = 12:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), in-{F}(V2,V3), in-{F}(V4,V3), subset-{F}(V4,V5), in-{F}(V5,V3), P_ordered_pair-{F}(V4,V5,V6), in-{F}(V7,V3), P_ordered_pair-{F}(V7,V2,V6), in-{F}(V8,V7), in-{F}(V9,V8) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #470: exists( #105, #466 ), references = 3, size of lhs = 12:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), in-{F}(V2,V3), in-{F}(V4,V3), subset-{F}(V4,V5), in-{F}(V5,V3), P_ordered_pair-{F}(V4,V5,V6), in-{F}(V7,V3), P_ordered_pair-{F}(V7,V2,V6), in-{F}(V8,V7), V8 == V0 | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #540: exists( #24, #534 ), references = 1, size of lhs = 3:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), pppp20-{F}(V1,V2) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #542: mergings( V0 == V3; #538 ), references = 1, size of lhs = 5:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), pppp20-{F}(V0,V3) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #544: mergings( V0 == V3; #539 ), references = 1, size of lhs = 6:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), in-{F}(V0,V3), subset-{F}(V3,V2), pppp20-{F}(V0,V4) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #573: disj( #14, #13+#470 ), references = 1, size of lhs = 13:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_ordered_pair-{F}(V3,V3,V2), in-{F}(V3,V4), in-{F}(V5,V6), subset-{F}(V5,V7), in-{F}(V7,V6), P_ordered_pair-{F}(V5,V7,V8), in-{F}(V9,V6), P_ordered_pair-{F}(V9,V2,V8), in-{F}(V10,V9), V10 == V0 | pppp19-{T}(V6,V4)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #598: mergings( V4 == V8, V1 == V6; #594 ), references = 1, size of lhs = 20:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), in-{F}(V2,V3), P_relation_field-{F}(V3,V4), in-{F}(V5,V4), in-{F}(V6,V4), P_ordered_pair-{F}(V6,V5,V2), in-{F}(V6,V7), in-{F}(V5,V7), pppp1-{F}(V7,V8), P_relation_field-{F}(V8,V9), in-{F}(V10,V8), subset-{F}(V10,V11), in-{F}(V11,V8), P_ordered_pair-{F}(V10,V11,V12), in-{F}(V13,V8), P_ordered_pair-{F}(V13,V2,V12), in-{F}(V14,V13), in-{F}(V15,V14) | pppp20-{T}(V4,V3)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #601: mergings( V4 == V8, V1 == V6; #595 ), references = 1, size of lhs = 20:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), in-{F}(V2,V3), P_relation_field-{F}(V3,V4), in-{F}(V5,V4), in-{F}(V6,V4), P_ordered_pair-{F}(V6,V5,V2), in-{F}(V6,V7), in-{F}(V5,V7), pppp1-{F}(V7,V8), P_relation_field-{F}(V8,V9), in-{F}(V10,V8), subset-{F}(V10,V11), in-{F}(V11,V8), P_ordered_pair-{F}(V10,V11,V12), in-{F}(V13,V8), P_ordered_pair-{F}(V13,V2,V12), in-{F}(V14,V13), V14 == V0 | pppp20-{T}(V4,V3)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #625: exists( #104, #621 ), references = 2, size of lhs = 12:
% 5.31/5.51 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), in-{F}(V1,V3), in-{F}(V4,V3), P_powerset-{F}(V4,V5), V5 == V0, P_singleton-{F}(V5,V2), in-{F}(V5,V3), subset-{F}(V1,V6), in-{F}(V6,V3), P_unordered_pair-{F}(V1,V6,V7), P_unordered_pair-{F}(V5,V4,V7) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #626: exists( #104, #622 ), references = 2, size of lhs = 14:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), in-{F}(V3,V4), in-{F}(V5,V4), subset-{F}(V5,V6), in-{F}(V6,V4), P_singleton-{F}(V5,V7), P_unordered_pair-{F}(V5,V6,V8), in-{F}(V9,V4), P_singleton-{F}(V9,V7), P_unordered_pair-{F}(V9,V3,V8), in-{F}(V10,V9) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #634: mergings( V2 == V5; #630 ), references = 1, size of lhs = 5:
% 5.31/5.51 empty-{F}(V0), P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), in-{F}(V3,V4) | pppp19-{T}(V2,V4)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #635: disj( #14, #13+#438 ), references = 1, size of lhs = 7:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), subset-{F}(V3,V2), in-{F}(V4,V5), P_ordered_pair-{F}(V4,V4,V6), V6 == V0 | pppp19-{T}(V3,V5)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #660: exists( #102, #625 ), references = 1, size of lhs = 7:
% 5.31/5.51 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V2 == V0, subset-{F}(V2,V1), P_singleton-{F}(V2,V3), in-{F}(V2,V4), in-{F}(V1,V4) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #661: exists( #102, #626 ), references = 1, size of lhs = 9:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), in-{F}(V3,V4), subset-{F}(V5,V3), in-{F}(V5,V4), P_singleton-{F}(V5,V6), in-{F}(V7,V5) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #731: exists( #104, #726 ), references = 1, size of lhs = 3:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), pppp2-{F}(V2,V1,V3) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #733: mergings( V5 == V2; #730 ), references = 1, size of lhs = 5:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), pppp2-{F}(V3,V0,V4) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #739: exists( #15, #734 ), references = 2, size of lhs = 4:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), pppp19-{F}(V2,V1), pppp19-{F}(V3,V4) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #741: mergings( V1 == V3; #738 ), references = 1, size of lhs = 6:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), pppp19-{F}(V3,V0), pppp19-{F}(V4,V5) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #750: exists( #105, #748 ), references = 1, size of lhs = 3:
% 5.31/5.51 empty-{F}(V0), pppp18-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #754: disj( #14, exists( #15, #734 ) ), references = 1, size of lhs = 3:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), #-{F} V2 | pppp0-{T}(V2,V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #755: disj( #14, mergings( V1 == V3; #738 ) ), references = 1, size of lhs = 6:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), pppp19-{F}(V3,V4), #-{F} V5 | pppp0-{T}(V5,V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #760: exists( #102, #758 ), references = 1, size of lhs = 11:
% 5.31/5.51 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), subset-{F}(V3,V2), P_relation_field-{F}(V3,V4), pppp1-{F}(V5,V3), in-{F}(V6,V5), P_singleton-{F}(V6,V7), subset-{F}(V6,V8), in-{F}(V8,V5), P_unordered_pair-{F}(V6,V8,V9) | P_unordered_pair-{T}(V9,V7,V0)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #817: exists( #104, #815 ), references = 2, size of lhs = 5:
% 5.31/5.51 subset-{F}(V0,V0), in-{F}(V0,V1), pppp1-{F}(V1,V2), P_relation_field-{F}(V2,V3), pppp2-{F}(V2,V4,V0) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #832: exists( #104, #829 ), references = 2, size of lhs = 5:
% 5.31/5.51 subset-{F}(V0,V0), pppp2-{F}(V1,V2,V0), pppp1-{F}(V2,V3), P_relation_field-{F}(V3,V4), pppp2-{F}(V3,V5,V0) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #835: exists( #15, #833 ), references = 2, size of lhs = 4:
% 5.31/5.51 P_empty_set-{F}(V0), pppp19-{F}(V1,V2), pppp1-{F}(V2,V1), P_relation_field-{F}(V1,V3) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #837: disj( #14, exists( #15, #833 ) ), references = 1, size of lhs = 3:
% 5.31/5.51 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), P_relation_field-{F}(V2,V3) | pppp0-{T}(V2,V1)
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #852: exists( #105, #850 ), references = 1, size of lhs = 2:
% 5.31/5.51 pppp18-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #855: mergings( V0 == V2; #853 ), references = 1, size of lhs = 1:
% 5.31/5.51 P_empty_set-{F}(V0) | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 #857: exists( #110, #853 ), references = 1, size of lhs = 0:
% 5.31/5.51 FALSE | FALSE
% 5.31/5.51 (used 0 times, uses = {})
% 5.31/5.51
% 5.31/5.51 number of learnt formulas = 70
% 5.31/5.51
% 5.31/5.51
% 5.31/5.51 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.31/5.51
% 5.31/5.51 randbase = 1
%------------------------------------------------------------------------------