TSTP Solution File: SEU240+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU240+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n025.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 06:17:36 EDT 2022
% Result : Theorem 141.89s 142.07s
% Output : Refutation 141.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU240+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 19:27:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 141.89/142.07 GeoParameters:
% 141.89/142.07
% 141.89/142.07 tptp_input = 1
% 141.89/142.07 tptp_output = 0
% 141.89/142.07 nonempty = 1
% 141.89/142.07 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 141.89/142.07 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 141.89/142.07
% 141.89/142.07
% 141.89/142.07 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 141.89/142.07 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 141.89/142.07
% 141.89/142.07 RuleSystem INPUT:
% 141.89/142.07
% 141.89/142.07 Initial Rules:
% 141.89/142.07 #0: input, references = 31, size of lhs = 2:
% 141.89/142.07 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1: input, references = 3, size of lhs = 1:
% 141.89/142.07 empty-{F}(V0) | function-{T}(V0)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2: input, references = 3, size of lhs = 3:
% 141.89/142.07 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #3: input, references = 4, size of lhs = 3:
% 141.89/142.07 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #4: input, references = 5, size of lhs = 3:
% 141.89/142.07 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #5: input, references = 4, size of lhs = 3:
% 141.89/142.07 P_relation_field-{F}(V0,V1), relation-{F}(V0), transitive-{F}(V0) | is_transitive_in-{T}(V0,V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #6: input, references = 4, size of lhs = 3:
% 141.89/142.07 P_relation_field-{F}(V0,V1), relation-{F}(V0), is_transitive_in-{F}(V0,V1) | transitive-{T}(V0)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #7: input, references = 5, size of lhs = 5:
% 141.89/142.07 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
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #8: input, references = 4, size of lhs = 6:
% 141.89/142.07 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
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #9: input, references = 4, size of lhs = 2:
% 141.89/142.07 relation-{F}(V0), is_transitive_in-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #10: input, references = 4, size of lhs = 2:
% 141.89/142.07 relation-{F}(V0), pppp0-{F}(V0,V1) | is_transitive_in-{T}(V0,V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #11: input, references = 29, size of lhs = 9:
% 141.89/142.07 pppp0-{F}(V0,V1), in-{F}(V2,V1), P_ordered_pair-{F}(V3,V2,V4), in-{F}(V3,V1), in-{F}(V4,V0), P_ordered_pair-{F}(V5,V3,V6), P_ordered_pair-{F}(V5,V2,V7), in-{F}(V5,V1), in-{F}(V6,V0) | in-{T}(V7,V0)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #12: input, references = 11, size of lhs = 2:
% 141.89/142.07 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp16-{T}(V0,V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #13: input, references = 6, size of lhs = 1:
% 141.89/142.07 pppp16-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #14: input, references = 7, size of lhs = 1:
% 141.89/142.07 pppp4-{F}(V0,V1,V2) | EXISTS V3: pppp3-{T}(V0,V1,V3,V2)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #15: input, references = 4, size of lhs = 1:
% 141.89/142.07 pppp4-{F}(V0,V1,V2) | in-{T}(V2,V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #16: input, references = 6, size of lhs = 2:
% 141.89/142.07 pppp3-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V2,V3,V4) | EXISTS V5: pppp2-{T}(V0,V1,V5,V2,V3)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #17: input, references = 26, size of lhs = 2:
% 141.89/142.07 pppp3-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V2,V3,V4) | in-{T}(V4,V0)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #18: input, references = 8, size of lhs = 2:
% 141.89/142.07 pppp3-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V2,V3,V4) | in-{T}(V2,V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #19: input, references = 7, size of lhs = 4:
% 141.89/142.07 pppp2-{F}(V0,V1,V2,V3,V4), P_ordered_pair-{F}(V2,V3,V5), P_ordered_pair-{F}(V2,V4,V6), in-{F}(V6,V0) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #20: input, references = 22, size of lhs = 3:
% 141.89/142.07 pppp2-{F}(V0,V1,V2,V3,V4), P_ordered_pair-{F}(V2,V3,V5), P_ordered_pair-{F}(V2,V4,V6) | in-{T}(V5,V0)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #21: input, references = 14, size of lhs = 3:
% 141.89/142.07 pppp2-{F}(V0,V1,V2,V3,V4), P_ordered_pair-{F}(V2,V3,V5), P_ordered_pair-{F}(V2,V4,V6) | in-{T}(V2,V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #22: input, references = 3, size of lhs = 1:
% 141.89/142.07 #-{F} V0 | EXISTS V1: pppp5-{T}(V0,V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #23: input, references = 3, size of lhs = 1:
% 141.89/142.07 pppp5-{F}(V0,V1) | element-{T}(V1,V0)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #24: input, references = 3, size of lhs = 1:
% 141.89/142.07 P_empty_set-{F}(V0) | empty-{T}(V0)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #25: input, references = 3, size of lhs = 3:
% 141.89/142.07 P_empty_set-{F}(V0), P_ordered_pair-{F}(V1,V2,V3), empty-{F}(V3) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #26: input, references = 3, size of lhs = 3:
% 141.89/142.07 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), empty-{F}(V3) | empty-{T}(V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #27: input, references = 5, size of lhs = 3:
% 141.89/142.07 P_empty_set-{F}(V0), P_set_union2-{F}(V2,V1,V3), empty-{F}(V3) | empty-{T}(V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #28: input, references = 4, size of lhs = 3:
% 141.89/142.07 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #29: input, references = 4, size of lhs = 1:
% 141.89/142.07 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #30: input, references = 4, size of lhs = 1:
% 141.89/142.07 pppp7-{F}(V0) | pppp6-{T}(V0)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #31: input, references = 4, size of lhs = 3:
% 141.89/142.07 pppp6-{F}(V0), pppp1-{F}(V0), transitive-{F}(V0) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #32: input, references = 4, size of lhs = 1:
% 141.89/142.07 pppp6-{F}(V0) | transitive-{T}(V0), pppp1-{T}(V0)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #33: input, references = 4, size of lhs = 1:
% 141.89/142.07 pppp6-{F}(V0) | relation-{T}(V0)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #34: input, references = 14, size of lhs = 7:
% 141.89/142.07 P_empty_set-{F}(V0), pppp1-{F}(V1), P_ordered_pair-{F}(V2,V3,V4), in-{F}(V4,V1), P_ordered_pair-{F}(V5,V2,V6), P_ordered_pair-{F}(V5,V3,V7), in-{F}(V6,V1) | in-{T}(V7,V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #35: input, references = 10, size of lhs = 2:
% 141.89/142.07 P_empty_set-{F}(V0), #-{F} V1 | pppp1-{T}(V1), pppp17-{T}(V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #36: input, references = 5, size of lhs = 1:
% 141.89/142.07 pppp17-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #37: input, references = 6, size of lhs = 1:
% 141.89/142.07 pppp10-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V0,V1,V2)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #38: input, references = 4, size of lhs = 2:
% 141.89/142.07 pppp9-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V2,V3) | EXISTS V4: pppp8-{T}(V0,V4,V1,V2)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #39: input, references = 17, size of lhs = 2:
% 141.89/142.07 pppp9-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V2,V3) | in-{T}(V3,V0)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #40: input, references = 10, size of lhs = 4:
% 141.89/142.07 pppp8-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4), P_ordered_pair-{F}(V1,V3,V5), in-{F}(V5,V0) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #41: input, references = 9, size of lhs = 3:
% 141.89/142.07 pppp8-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4), P_ordered_pair-{F}(V1,V3,V5) | in-{T}(V4,V0)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #42: input, references = 3, size of lhs = 1:
% 141.89/142.07 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #43: input, references = 3, size of lhs = 1:
% 141.89/142.07 pppp11-{F}(V0) | function-{T}(V0)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #44: input, references = 3, size of lhs = 1:
% 141.89/142.07 pppp11-{F}(V0) | relation-{T}(V0)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #45: input, references = 4, size of lhs = 1:
% 141.89/142.07 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #46: input, references = 5, size of lhs = 1:
% 141.89/142.07 pppp12-{F}(V0) | empty-{T}(V0)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #47: input, references = 4, size of lhs = 1:
% 141.89/142.07 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #48: input, references = 3, size of lhs = 1:
% 141.89/142.07 pppp13-{F}(V0) | function-{T}(V0)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #49: input, references = 5, size of lhs = 1:
% 141.89/142.07 pppp13-{F}(V0) | empty-{T}(V0)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #50: input, references = 3, size of lhs = 1:
% 141.89/142.07 pppp13-{F}(V0) | relation-{T}(V0)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #51: input, references = 3, size of lhs = 1:
% 141.89/142.07 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #52: input, references = 3, size of lhs = 2:
% 141.89/142.07 pppp14-{F}(V0), empty-{F}(V0) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #53: input, references = 3, size of lhs = 1:
% 141.89/142.07 P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #54: input, references = 3, size of lhs = 1:
% 141.89/142.07 pppp15-{F}(V0) | one_to_one-{T}(V0)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #55: input, references = 3, size of lhs = 1:
% 141.89/142.07 pppp15-{F}(V0) | function-{T}(V0)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #56: input, references = 3, size of lhs = 1:
% 141.89/142.07 pppp15-{F}(V0) | relation-{T}(V0)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #57: input, references = 4, size of lhs = 3:
% 141.89/142.07 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V0,V2), V2 == V1 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #58: input, references = 3, size of lhs = 2:
% 141.89/142.07 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #59: input, references = 5, size of lhs = 2:
% 141.89/142.07 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #60: input, references = 30, size of lhs = 5:
% 141.89/142.07 P_empty_set-{F}(V0), P_relation_field-{F}(V1,V2), relation-{F}(V1), P_ordered_pair-{F}(V4,V3,V5), in-{F}(V5,V1) | in-{T}(V4,V2)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #61: input, references = 28, size of lhs = 5:
% 141.89/142.07 P_empty_set-{F}(V0), P_relation_field-{F}(V1,V2), relation-{F}(V1), P_ordered_pair-{F}(V4,V3,V5), in-{F}(V5,V1) | in-{T}(V3,V2)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #62: input, references = 6, size of lhs = 3:
% 141.89/142.07 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #63: input, references = 7, size of lhs = 3:
% 141.89/142.07 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #64: input, references = 6, size of lhs = 4:
% 141.89/142.07 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #65: input, references = 30, size of lhs = 2:
% 141.89/142.07 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #66: input, references = 6, size of lhs = 2:
% 141.89/142.07 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_union2-{T}(V0,V1,V2)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #67: input, references = 6, size of lhs = 1:
% 141.89/142.07 #-{F} V0 | EXISTS V1: P_relation_field-{T}(V0,V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #68: input, references = 62, size of lhs = 2:
% 141.89/142.07 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #69: input, references = 15, size of lhs = 1:
% 141.89/142.07 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #70: input, references = 3, size of lhs = 1:
% 141.89/142.07 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #71: input, references = 5, size of lhs = 1:
% 141.89/142.07 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #72: input, references = 4, size of lhs = 0:
% 141.89/142.07 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 number of initial rules = 73
% 141.89/142.07
% 141.89/142.07 Simplifiers:
% 141.89/142.07 #73: unsound, references = 3, size of lhs = 3:
% 141.89/142.07 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #74: unsound, references = 3, size of lhs = 3:
% 141.89/142.07 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #75: unsound, references = 3, size of lhs = 3:
% 141.89/142.07 P_relation_field-{F}(V0,V1), P_relation_field-{F}(V0,V3), V1 == V3 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #76: unsound, references = 3, size of lhs = 3:
% 141.89/142.07 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #77: unsound, references = 3, size of lhs = 3:
% 141.89/142.07 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #78: unsound, references = 3, size of lhs = 3:
% 141.89/142.07 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #79: unsound, references = 3, size of lhs = 3:
% 141.89/142.07 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #80: unsound, references = 3, size of lhs = 3:
% 141.89/142.07 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #81: unsound, references = 3, size of lhs = 3:
% 141.89/142.07 pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V0,V1,V7,V3,V4), V2 == V7 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #82: unsound, references = 3, size of lhs = 3:
% 141.89/142.07 pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V0,V1,V7,V8,V4), V3 == V8 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #83: unsound, references = 3, size of lhs = 3:
% 141.89/142.07 pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V0,V1,V7,V8,V9), V4 == V9 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #84: unsound, references = 3, size of lhs = 3:
% 141.89/142.07 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #85: unsound, references = 3, size of lhs = 3:
% 141.89/142.07 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #86: unsound, references = 3, size of lhs = 3:
% 141.89/142.07 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #87: unsound, references = 3, size of lhs = 3:
% 141.89/142.07 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #88: unsound, references = 3, size of lhs = 3:
% 141.89/142.07 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #89: unsound, references = 3, size of lhs = 3:
% 141.89/142.07 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #90: unsound, references = 3, size of lhs = 3:
% 141.89/142.07 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #91: unsound, references = 3, size of lhs = 3:
% 141.89/142.07 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V2,V7), V3 == V7 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #92: unsound, references = 3, size of lhs = 3:
% 141.89/142.07 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V6,V7), V2 == V6 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #93: unsound, references = 3, size of lhs = 3:
% 141.89/142.07 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V1,V5), V2 == V5 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #94: unsound, references = 3, size of lhs = 3:
% 141.89/142.07 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V5), V1 == V4 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #95: unsound, references = 3, size of lhs = 3:
% 141.89/142.07 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #96: unsound, references = 3, size of lhs = 3:
% 141.89/142.07 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #97: unsound, references = 3, size of lhs = 3:
% 141.89/142.07 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #98: unsound, references = 3, size of lhs = 3:
% 141.89/142.07 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #99: unsound, references = 3, size of lhs = 3:
% 141.89/142.07 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #100: unsound, references = 3, size of lhs = 3:
% 141.89/142.07 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 number of simplifiers = 28
% 141.89/142.07
% 141.89/142.07 Learnt:
% 141.89/142.07 #102: exists( #66, #28 ), references = 1, size of lhs = 2:
% 141.89/142.07 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V1,V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #108: mergings( V0 == V2; #105 ), references = 1, size of lhs = 1:
% 141.89/142.07 P_empty_set-{F}(V0) | pppp12-{T}(V0)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #110: mergings( V0 == V2; #106 ), references = 1, size of lhs = 2:
% 141.89/142.07 P_empty_set-{F}(V0), empty-{F}(V1) | pppp12-{T}(V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #112: exists( #65, #7 ), references = 28, size of lhs = 3:
% 141.89/142.07 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)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #115: exists( #66, #57 ), references = 2, size of lhs = 2:
% 141.89/142.07 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V0,V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #116: exists( #66, #8 ), references = 4, size of lhs = 4:
% 141.89/142.07 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)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #123: mergings( V0 == V2; #120 ), references = 1, size of lhs = 1:
% 141.89/142.07 P_empty_set-{F}(V0) | pppp13-{T}(V0)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #125: mergings( V0 == V2; #121 ), references = 1, size of lhs = 2:
% 141.89/142.07 P_empty_set-{F}(V0), empty-{F}(V1) | pppp13-{T}(V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #130: exists( #65, #3 ), references = 34, size of lhs = 1:
% 141.89/142.07 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #132: exists( #66, #4 ), references = 1, size of lhs = 1:
% 141.89/142.07 P_set_union2-{F}(V0,V1,V2) | P_set_union2-{T}(V1,V0,V2)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #136: exists( #71, #134 ), references = 1, size of lhs = 4:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom-{F}(V1,V0), P_relation_field-{F}(V1,V2) | P_relation_rng-{T}(V1,V2)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #138: disj( #59, input ), references = 1, size of lhs = 2:
% 141.89/142.07 P_empty_set-{F}(V0), element-{F}(V1,V1) | empty-{T}(V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #144: exists( #68, #7 ), references = 39, size of lhs = 3:
% 141.89/142.07 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)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #150: mergings( V0 == V3; #146 ), references = 1, size of lhs = 3:
% 141.89/142.07 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #153: mergings( V0 == V3, V2 == V3; #147 ), references = 1, size of lhs = 4:
% 141.89/142.07 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #156: mergings( V0 == V3, V2 == V3; #148 ), references = 1, size of lhs = 3:
% 141.89/142.07 P_empty_set-{F}(V0), element-{F}(V1,V0), P_ordered_pair-{F}(V2,V3,V0) | in-{T}(V1,V0)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #167: mergings( V0 == V2; #165 ), references = 1, size of lhs = 7:
% 141.89/142.07 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V2,V3), in-{F}(V4,V2), P_ordered_pair-{F}(V5,V6,V1), P_ordered_pair-{F}(V7,V5,V4), P_ordered_pair-{F}(V7,V6,V3) | pppp17-{T}(V2)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #191: disj( #12, #11+#0 ), references = 1, size of lhs = 9:
% 141.89/142.07 in-{F}(V0,V1), in-{F}(V2,V1), P_ordered_pair-{F}(V2,V0,V3), in-{F}(V3,V4), in-{F}(V5,V1), P_ordered_pair-{F}(V5,V2,V6), in-{F}(V6,V4), P_ordered_pair-{F}(V5,V0,V7), in-{F}(V4,V7) | pppp16-{T}(V4,V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #202: mergings( V0 == V2; #200 ), references = 1, size of lhs = 6:
% 141.89/142.07 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V3,V2), P_ordered_pair-{F}(V4,V5,V1), P_ordered_pair-{F}(V6,V4,V3), P_ordered_pair-{F}(V6,V5,V2) | pppp17-{T}(V2)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #221: disj( #12, #11+#0 ), references = 1, size of lhs = 8:
% 141.89/142.07 in-{F}(V0,V1), in-{F}(V2,V1), P_ordered_pair-{F}(V2,V0,V3), in-{F}(V3,V4), P_ordered_pair-{F}(V5,V0,V4), in-{F}(V5,V1), P_ordered_pair-{F}(V5,V2,V6), in-{F}(V6,V4) | pppp16-{T}(V4,V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #234: exists( #13, #232 ), references = 1, size of lhs = 3:
% 141.89/142.07 P_empty_set-{F}(V0), empty-{F}(V1), pppp16-{F}(V2,V1) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #236: disj( #12, exists( #13, #232 ) ), references = 1, size of lhs = 3:
% 141.89/142.07 P_empty_set-{F}(V0), empty-{F}(V1), #-{F} V2 | pppp0-{T}(V2,V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #250: disj( #12, #10+#6+#31 ), references = 2, size of lhs = 4:
% 141.89/142.07 relation-{F}(V0), pppp6-{F}(V0), pppp1-{F}(V0), P_relation_field-{F}(V0,V1) | pppp16-{T}(V0,V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #306: exists( #68, #303 ), references = 1, size of lhs = 3:
% 141.89/142.07 P_empty_set-{F}(V0), empty-{F}(V1), pppp3-{F}(V1,V2,V3,V4) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #308: exists( #14, #305 ), references = 1, size of lhs = 3:
% 141.89/142.07 P_empty_set-{F}(V0), empty-{F}(V1), pppp4-{F}(V1,V2,V3) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #310: exists( #13, #307 ), references = 1, size of lhs = 3:
% 141.89/142.07 P_empty_set-{F}(V0), empty-{F}(V1), pppp16-{F}(V1,V2) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #314: mergings( V0 == V3; #312 ), references = 2, size of lhs = 5:
% 141.89/142.07 relation-{F}(V0), pppp6-{F}(V0), empty-{F}(V0), P_relation_field-{F}(V0,V1), P_empty_set-{F}(V2) | pppp17-{T}(V0)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #316: disj( #12, exists( #13, #307 ) ), references = 1, size of lhs = 3:
% 141.89/142.07 P_empty_set-{F}(V0), empty-{F}(V1), #-{F} V2 | pppp0-{T}(V1,V2)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #356: exists( #65, #354 ), references = 1, size of lhs = 9:
% 141.89/142.07 P_empty_set-{F}(V0), pppp1-{F}(V1), in-{F}(V2,V1), P_ordered_pair-{F}(V3,V4,V2), P_ordered_pair-{F}(V3,V5,V1), P_ordered_pair-{F}(V4,V5,V6), P_singleton-{F}(V6,V7), pppp3-{F}(V8,V1,V6,V9), P_unordered_pair-{F}(V6,V9,V10) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #358: exists( #69, #355 ), references = 1, size of lhs = 8:
% 141.89/142.07 P_empty_set-{F}(V0), pppp1-{F}(V1), in-{F}(V2,V1), P_ordered_pair-{F}(V3,V4,V2), P_ordered_pair-{F}(V3,V5,V1), P_ordered_pair-{F}(V4,V5,V6), pppp3-{F}(V7,V1,V6,V8), P_unordered_pair-{F}(V6,V8,V9) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #376: exists( #65, #373 ), references = 2, size of lhs = 5:
% 141.89/142.07 P_empty_set-{F}(V0), empty-{F}(V1), P_singleton-{F}(V2,V3), pppp9-{F}(V1,V2,V4), P_unordered_pair-{F}(V2,V4,V5) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #380: exists( #68, #378 ), references = 1, size of lhs = 6:
% 141.89/142.07 P_empty_set-{F}(V0), empty-{F}(V1), P_singleton-{F}(V2,V3), P_singleton-{F}(V3,V4), pppp9-{F}(V1,V3,V5), P_unordered_pair-{F}(V2,V6,V5) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #387: exists( #65, #376 ), references = 1, size of lhs = 4:
% 141.89/142.07 P_empty_set-{F}(V0), empty-{F}(V1), P_singleton-{F}(V2,V3), pppp9-{F}(V1,V2,V4) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #389: exists( #37, #386 ), references = 2, size of lhs = 4:
% 141.89/142.07 P_empty_set-{F}(V0), empty-{F}(V1), pppp10-{F}(V1,V2), P_singleton-{F}(V2,V3) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #391: exists( #69, #389 ), references = 1, size of lhs = 3:
% 141.89/142.07 P_empty_set-{F}(V0), empty-{F}(V1), pppp10-{F}(V1,V2) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #393: exists( #36, #390 ), references = 1, size of lhs = 3:
% 141.89/142.07 pppp17-{F}(V0), empty-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #397: mergings( V2 == V3; #395 ), references = 1, size of lhs = 4:
% 141.89/142.07 relation-{F}(V0), pppp6-{F}(V0), empty-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #411: disj( #35, input ), references = 2, size of lhs = 3:
% 141.89/142.07 P_empty_set-{F}(V0), pppp6-{F}(V1), transitive-{F}(V1) | pppp17-{T}(V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #455: exists( #68, #453 ), references = 2, size of lhs = 2:
% 141.89/142.07 in-{F}(V0,V1), pppp3-{F}(V2,V0,V1,V3) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #481: exists( #68, #479 ), references = 1, size of lhs = 7:
% 141.89/142.07 P_empty_set-{F}(V0), pppp1-{F}(V1), in-{F}(V1,V2), P_ordered_pair-{F}(V3,V4,V2), P_ordered_pair-{F}(V5,V4,V6), P_ordered_pair-{F}(V3,V5,V6), pppp3-{F}(V7,V1,V6,V8) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #494: disj( #12, #11+#11+#11+#0 ), references = 1, size of lhs = 22:
% 141.89/142.07 in-{F}(V0,V1), in-{F}(V2,V1), P_ordered_pair-{F}(V2,V0,V3), in-{F}(V3,V4), in-{F}(V5,V1), P_ordered_pair-{F}(V5,V2,V6), in-{F}(V6,V4), P_ordered_pair-{F}(V5,V0,V7), in-{F}(V8,V1), in-{F}(V9,V1), P_ordered_pair-{F}(V9,V8,V7), in-{F}(V10,V1), P_ordered_pair-{F}(V10,V9,V11), in-{F}(V11,V4), P_ordered_pair-{F}(V10,V8,V12), P_ordered_pair-{F}(V12,V7,V13), in-{F}(V13,V14), pppp0-{F}(V14,V4), P_ordered_pair-{F}(V7,V12,V15), in-{F}(V15,V14), P_ordered_pair-{F}(V7,V7,V16), in-{F}(V14,V16) | pppp16-{T}(V4,V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #534: exists( #68, #532 ), references = 1, size of lhs = 9:
% 141.89/142.07 P_empty_set-{F}(V0), pppp1-{F}(V1), in-{F}(V1,V2), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), P_unordered_pair-{F}(V3,V5,V6), P_unordered_pair-{F}(V5,V7,V6), P_ordered_pair-{F}(V3,V7,V2), pppp3-{F}(V1,V8,V5,V7) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #537: exists( #65, #535 ), references = 1, size of lhs = 7:
% 141.89/142.07 P_empty_set-{F}(V0), pppp1-{F}(V1), in-{F}(V1,V2), P_ordered_pair-{F}(V3,V3,V2), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), pppp3-{F}(V1,V6,V5,V3) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #624: exists( #68, #621 ), references = 1, size of lhs = 2:
% 141.89/142.07 pppp2-{F}(V0,V1,V2,V3,V3), pppp2-{F}(V0,V4,V2,V3,V3) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #626: exists( #16, #623 ), references = 1, size of lhs = 2:
% 141.89/142.07 P_ordered_pair-{F}(V0,V0,V1), pppp3-{F}(V2,V3,V0,V0) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #752: exists( #68, #750 ), references = 4, size of lhs = 9:
% 141.89/142.07 in-{F}(V0,V1), in-{F}(V2,V1), P_ordered_pair-{F}(V2,V0,V3), in-{F}(V3,V4), pppp0-{F}(V4,V1), P_ordered_pair-{F}(V5,V0,V4), in-{F}(V5,V1), P_ordered_pair-{F}(V5,V2,V6), pppp3-{F}(V7,V4,V6,V8) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #817: disj( #12, #11+#11+#0 ), references = 1, size of lhs = 16:
% 141.89/142.07 in-{F}(V0,V1), in-{F}(V2,V1), P_ordered_pair-{F}(V2,V0,V3), in-{F}(V3,V4), in-{F}(V5,V1), P_ordered_pair-{F}(V5,V2,V6), in-{F}(V6,V4), P_ordered_pair-{F}(V5,V0,V7), in-{F}(V8,V1), in-{F}(V9,V1), P_ordered_pair-{F}(V9,V8,V10), in-{F}(V10,V4), in-{F}(V11,V1), P_ordered_pair-{F}(V11,V9,V7), P_ordered_pair-{F}(V11,V8,V12), in-{F}(V4,V12) | pppp16-{T}(V4,V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #847: exists( #68, #845 ), references = 2, size of lhs = 9:
% 141.89/142.07 P_empty_set-{F}(V0), pppp1-{F}(V1), in-{F}(V1,V2), in-{F}(V3,V1), P_ordered_pair-{F}(V4,V5,V3), P_ordered_pair-{F}(V6,V5,V2), P_ordered_pair-{F}(V6,V4,V7), P_ordered_pair-{F}(V7,V8,V9), pppp2-{F}(V10,V1,V7,V11,V8) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #849: exists( #68, #846 ), references = 3, size of lhs = 8:
% 141.89/142.07 P_empty_set-{F}(V0), pppp1-{F}(V1), in-{F}(V1,V2), in-{F}(V3,V1), P_ordered_pair-{F}(V4,V5,V3), P_ordered_pair-{F}(V6,V5,V2), P_ordered_pair-{F}(V6,V4,V7), pppp2-{F}(V8,V1,V7,V9,V10) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #921: mergings( V3 == V6; #919 ), references = 1, size of lhs = 15:
% 141.89/142.07 relation-{F}(V0), P_relation_field-{F}(V0,V1), relation-{F}(V1), P_empty_set-{F}(V2), P_relation_field-{F}(V1,V3), pppp0-{F}(V3,V4), in-{F}(V5,V4), in-{F}(V6,V4), P_ordered_pair-{F}(V6,V5,V7), in-{F}(V7,V3), P_ordered_pair-{F}(V8,V5,V3), in-{F}(V8,V4), P_ordered_pair-{F}(V8,V6,V9), pppp9-{F}(V0,V10,V11), P_ordered_pair-{F}(V9,V12,V11) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #928: exists( #65, #926 ), references = 1, size of lhs = 12:
% 141.89/142.07 P_singleton-{F}(V0,V1), P_singleton-{F}(V2,V1), in-{F}(V2,V3), in-{F}(V4,V3), P_unordered_pair-{F}(V2,V4,V5), in-{F}(V6,V3), P_ordered_pair-{F}(V6,V4,V7), pppp0-{F}(V7,V3), P_ordered_pair-{F}(V6,V2,V8), P_unordered_pair-{F}(V0,V9,V5), pppp3-{F}(V7,V10,V0,V9), pppp3-{F}(V11,V7,V8,V12) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #961: exists( #68, #959 ), references = 12, size of lhs = 9:
% 141.89/142.07 in-{F}(V0,V1), in-{F}(V2,V1), P_ordered_pair-{F}(V2,V0,V3), in-{F}(V4,V1), P_ordered_pair-{F}(V4,V0,V5), in-{F}(V5,V6), pppp0-{F}(V6,V1), in-{F}(V6,V3), pppp9-{F}(V6,V2,V4) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #968: exists( #65, #966 ), references = 1, size of lhs = 12:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp0-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V1,V4), pppp9-{F}(V1,V3,V5), P_singleton-{F}(V5,V6), in-{F}(V7,V2), P_ordered_pair-{F}(V3,V7,V4), P_unordered_pair-{F}(V5,V7,V8), pppp3-{F}(V1,V9,V5,V7) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #971: exists( #65, #969 ), references = 1, size of lhs = 11:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp0-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V1,V4), pppp9-{F}(V1,V3,V5), P_singleton-{F}(V5,V6), in-{F}(V7,V2), P_ordered_pair-{F}(V3,V7,V4), pppp3-{F}(V1,V8,V5,V7) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #973: exists( #69, #970 ), references = 1, size of lhs = 10:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp0-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V1,V4), pppp9-{F}(V1,V3,V5), in-{F}(V6,V2), P_ordered_pair-{F}(V3,V6,V4), pppp3-{F}(V1,V7,V5,V6) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1004: exists( #68, #1002 ), references = 2, size of lhs = 5:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V2,V3), pppp3-{F}(V1,V4,V3,V5) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1048: exists( #68, #1044 ), references = 1, size of lhs = 5:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), P_ordered_pair-{F}(V2,V3,V4), pppp3-{F}(V5,V1,V4,V6) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1050: mergings( V3 == V6; #1047 ), references = 1, size of lhs = 15:
% 141.89/142.07 relation-{F}(V0), P_relation_field-{F}(V0,V1), relation-{F}(V1), P_empty_set-{F}(V2), P_relation_field-{F}(V1,V3), pppp0-{F}(V3,V4), in-{F}(V5,V4), in-{F}(V6,V4), P_ordered_pair-{F}(V6,V5,V7), in-{F}(V3,V7), pppp9-{F}(V3,V6,V8), in-{F}(V8,V4), P_ordered_pair-{F}(V8,V5,V9), P_ordered_pair-{F}(V10,V9,V11), pppp3-{F}(V0,V12,V11,V13) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1123: exists( #68, #1120 ), references = 1, size of lhs = 2:
% 141.89/142.07 P_ordered_pair-{F}(V0,V1,V2), pppp2-{F}(V2,V3,V0,V1,V4) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1124: exists( #68, #1119 ), references = 1, size of lhs = 10:
% 141.89/142.07 in-{F}(V0,V1), in-{F}(V2,V1), P_ordered_pair-{F}(V2,V0,V3), pppp0-{F}(V4,V1), in-{F}(V4,V3), pppp9-{F}(V4,V2,V5), in-{F}(V5,V1), P_ordered_pair-{F}(V5,V0,V6), P_ordered_pair-{F}(V6,V7,V8), pppp2-{F}(V9,V4,V6,V7,V10) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1126: exists( #68, #1122 ), references = 1, size of lhs = 9:
% 141.89/142.07 in-{F}(V0,V1), in-{F}(V2,V1), P_ordered_pair-{F}(V2,V0,V3), pppp0-{F}(V4,V1), in-{F}(V4,V3), pppp9-{F}(V4,V2,V5), in-{F}(V5,V1), P_ordered_pair-{F}(V5,V0,V6), pppp2-{F}(V7,V4,V6,V8,V9) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1220: exists( #68, #1216 ), references = 2, size of lhs = 7:
% 141.89/142.07 P_singleton-{F}(V0,V1), P_singleton-{F}(V2,V1), P_unordered_pair-{F}(V0,V3,V4), P_unordered_pair-{F}(V2,V5,V4), in-{F}(V6,V7), P_ordered_pair-{F}(V2,V8,V7), pppp2-{F}(V6,V9,V2,V8,V5) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1221: exists( #68, #1217 ), references = 2, size of lhs = 13:
% 141.89/142.07 pppp0-{F}(V0,V0), in-{F}(V1,V0), in-{F}(V0,V2), pppp9-{F}(V0,V1,V3), in-{F}(V3,V0), P_ordered_pair-{F}(V3,V4,V4), P_ordered_pair-{F}(V1,V4,V2), P_singleton-{F}(V5,V6), P_singleton-{F}(V7,V6), P_ordered_pair-{F}(V7,V8,V4), P_unordered_pair-{F}(V5,V9,V10), P_unordered_pair-{F}(V7,V11,V10), pppp2-{F}(V0,V12,V7,V8,V11) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1226: exists( #65, #1222 ), references = 1, size of lhs = 5:
% 141.89/142.07 P_singleton-{F}(V0,V1), P_singleton-{F}(V2,V1), in-{F}(V3,V4), P_ordered_pair-{F}(V0,V5,V4), pppp2-{F}(V3,V6,V0,V5,V2) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1227: exists( #65, #1223 ), references = 1, size of lhs = 11:
% 141.89/142.07 pppp0-{F}(V0,V0), in-{F}(V1,V0), in-{F}(V0,V2), pppp9-{F}(V0,V1,V3), in-{F}(V3,V0), P_ordered_pair-{F}(V3,V4,V4), P_ordered_pair-{F}(V1,V4,V2), P_singleton-{F}(V5,V6), P_ordered_pair-{F}(V5,V7,V4), P_singleton-{F}(V8,V6), pppp2-{F}(V0,V9,V5,V7,V8) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1255: exists( #68, #1253 ), references = 1, size of lhs = 3:
% 141.89/142.07 in-{F}(V0,V1), P_ordered_pair-{F}(V1,V2,V3), pppp2-{F}(V4,V0,V1,V5,V2) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1259: exists( #68, #1257 ), references = 1, size of lhs = 6:
% 141.89/142.07 P_singleton-{F}(V0,V1), P_singleton-{F}(V2,V1), in-{F}(V3,V2), P_unordered_pair-{F}(V0,V4,V5), P_unordered_pair-{F}(V2,V6,V5), pppp2-{F}(V7,V3,V2,V8,V6) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1263: exists( #69, #1261 ), references = 1, size of lhs = 4:
% 141.89/142.07 in-{F}(V0,V1), P_unordered_pair-{F}(V2,V1,V3), P_unordered_pair-{F}(V1,V4,V3), pppp2-{F}(V5,V0,V1,V6,V4) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1270: exists( #65, #1266 ), references = 1, size of lhs = 4:
% 141.89/142.07 P_singleton-{F}(V0,V1), in-{F}(V2,V3), P_ordered_pair-{F}(V0,V4,V3), pppp2-{F}(V2,V5,V0,V4,V6) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1271: exists( #65, #1267 ), references = 1, size of lhs = 10:
% 141.89/142.07 pppp0-{F}(V0,V0), in-{F}(V1,V0), in-{F}(V0,V2), pppp9-{F}(V0,V1,V3), in-{F}(V3,V0), P_ordered_pair-{F}(V3,V4,V4), P_ordered_pair-{F}(V1,V4,V2), P_singleton-{F}(V5,V6), P_ordered_pair-{F}(V5,V7,V4), pppp2-{F}(V0,V8,V5,V7,V9) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1311: exists( #68, #1305 ), references = 1, size of lhs = 14:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp0-{F}(V2,V3), in-{F}(V4,V3), in-{F}(V5,V3), P_ordered_pair-{F}(V5,V4,V6), in-{F}(V2,V6), pppp9-{F}(V2,V5,V7), in-{F}(V7,V3), P_ordered_pair-{F}(V7,V4,V8), P_ordered_pair-{F}(V9,V8,V10), P_ordered_pair-{F}(V11,V12,V10), pppp2-{F}(V1,V13,V11,V12,V14) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1312: exists( #68, #1306 ), references = 1, size of lhs = 6:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), P_ordered_pair-{F}(V2,V3,V4), P_ordered_pair-{F}(V5,V6,V4), pppp2-{F}(V1,V7,V5,V6,V8) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1313: exists( #68, #1307 ), references = 1, size of lhs = 9:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), P_ordered_pair-{F}(V3,V4,V5), pppp2-{F}(V1,V6,V3,V4,V7), P_ordered_pair-{F}(V8,V9,V5), P_ordered_pair-{F}(V10,V11,V8), pppp8-{F}(V2,V10,V12,V11), P_ordered_pair-{F}(V10,V12,V13) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1368: exists( #65, #1362 ), references = 1, size of lhs = 11:
% 141.89/142.07 P_empty_set-{F}(V0), pppp1-{F}(V1), in-{F}(V1,V2), P_ordered_pair-{F}(V3,V4,V2), P_ordered_pair-{F}(V5,V4,V6), P_singleton-{F}(V6,V7), P_ordered_pair-{F}(V3,V5,V8), P_ordered_pair-{F}(V6,V9,V10), pppp2-{F}(V11,V1,V6,V9,V12), P_unordered_pair-{F}(V6,V12,V13), pppp2-{F}(V14,V1,V8,V15,V16) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1369: exists( #65, #1363 ), references = 1, size of lhs = 11:
% 141.89/142.07 P_empty_set-{F}(V0), pppp1-{F}(V1), in-{F}(V1,V2), P_ordered_pair-{F}(V3,V4,V2), P_ordered_pair-{F}(V5,V4,V6), P_ordered_pair-{F}(V3,V5,V6), P_singleton-{F}(V6,V7), P_ordered_pair-{F}(V6,V8,V9), pppp2-{F}(V10,V1,V6,V8,V11), P_unordered_pair-{F}(V6,V11,V12), pppp2-{F}(V13,V1,V6,V14,V11) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1370: exists( #65, #1364 ), references = 2, size of lhs = 12:
% 141.89/142.07 P_singleton-{F}(V0,V1), in-{F}(V2,V3), in-{F}(V4,V3), P_ordered_pair-{F}(V4,V2,V5), pppp0-{F}(V5,V3), P_ordered_pair-{F}(V0,V2,V6), in-{F}(V6,V5), P_ordered_pair-{F}(V4,V0,V7), P_ordered_pair-{F}(V0,V8,V9), pppp2-{F}(V10,V3,V0,V8,V11), P_unordered_pair-{F}(V0,V11,V12), pppp3-{F}(V13,V5,V7,V14) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1402: exists( #68, #1400 ), references = 1, size of lhs = 14:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp0-{F}(V2,V3), in-{F}(V4,V3), in-{F}(V5,V3), P_ordered_pair-{F}(V5,V4,V6), in-{F}(V2,V6), pppp9-{F}(V2,V5,V7), in-{F}(V7,V3), P_ordered_pair-{F}(V7,V4,V8), P_ordered_pair-{F}(V8,V9,V10), P_ordered_pair-{F}(V11,V12,V10), pppp2-{F}(V1,V13,V11,V12,V14) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1440: exists( #65, #1436 ), references = 2, size of lhs = 15:
% 141.89/142.07 P_singleton-{F}(V0,V1), in-{F}(V2,V3), in-{F}(V4,V3), P_ordered_pair-{F}(V0,V2,V5), in-{F}(V5,V6), pppp0-{F}(V6,V3), P_ordered_pair-{F}(V4,V0,V7), in-{F}(V7,V6), in-{F}(V8,V6), P_ordered_pair-{F}(V2,V9,V8), in-{F}(V9,V3), P_ordered_pair-{F}(V4,V9,V6), P_unordered_pair-{F}(V0,V9,V10), P_ordered_pair-{F}(V0,V11,V12), pppp2-{F}(V13,V3,V0,V11,V9) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1441: exists( #65, #1437 ), references = 1, size of lhs = 18:
% 141.89/142.07 P_singleton-{F}(V0,V1), in-{F}(V2,V3), in-{F}(V4,V3), P_ordered_pair-{F}(V0,V2,V5), in-{F}(V5,V6), pppp0-{F}(V6,V3), P_ordered_pair-{F}(V4,V0,V7), in-{F}(V7,V6), in-{F}(V8,V6), P_ordered_pair-{F}(V2,V9,V8), in-{F}(V9,V3), P_unordered_pair-{F}(V0,V9,V10), P_ordered_pair-{F}(V4,V9,V11), P_ordered_pair-{F}(V0,V12,V13), pppp2-{F}(V14,V3,V0,V12,V9), P_ordered_pair-{F}(V15,V16,V11), pppp8-{F}(V6,V15,V17,V16), P_ordered_pair-{F}(V15,V17,V18) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1477: exists( #68, #1471 ), references = 1, size of lhs = 15:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp0-{F}(V2,V3), in-{F}(V4,V3), P_ordered_pair-{F}(V5,V4,V2), in-{F}(V5,V3), P_ordered_pair-{F}(V6,V4,V7), P_ordered_pair-{F}(V5,V6,V8), P_ordered_pair-{F}(V9,V7,V10), P_ordered_pair-{F}(V6,V11,V10), pppp2-{F}(V1,V12,V6,V11,V13), P_ordered_pair-{F}(V6,V14,V15), pppp2-{F}(V16,V3,V6,V14,V13), pppp3-{F}(V17,V2,V8,V18) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1478: exists( #68, #1472 ), references = 1, size of lhs = 17:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp0-{F}(V2,V3), in-{F}(V4,V3), in-{F}(V5,V3), P_ordered_pair-{F}(V5,V4,V2), P_singleton-{F}(V6,V7), P_ordered_pair-{F}(V6,V4,V8), P_ordered_pair-{F}(V5,V6,V9), P_ordered_pair-{F}(V10,V8,V11), P_ordered_pair-{F}(V12,V13,V11), pppp2-{F}(V1,V14,V12,V13,V15), P_ordered_pair-{F}(V6,V16,V17), pppp2-{F}(V18,V3,V6,V16,V19), P_unordered_pair-{F}(V6,V19,V20), pppp3-{F}(V21,V2,V9,V22) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1479: exists( #68, #1473 ), references = 1, size of lhs = 20:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp0-{F}(V2,V3), in-{F}(V4,V3), in-{F}(V5,V3), in-{F}(V6,V2), P_ordered_pair-{F}(V5,V7,V6), P_singleton-{F}(V7,V8), P_ordered_pair-{F}(V7,V4,V9), in-{F}(V10,V2), P_ordered_pair-{F}(V4,V11,V10), in-{F}(V11,V3), P_ordered_pair-{F}(V5,V11,V2), P_unordered_pair-{F}(V7,V11,V12), P_ordered_pair-{F}(V13,V9,V14), P_ordered_pair-{F}(V15,V16,V14), pppp2-{F}(V1,V17,V15,V16,V18), P_ordered_pair-{F}(V7,V19,V20), pppp2-{F}(V21,V3,V7,V19,V11) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1515: exists( #68, #1513 ), references = 4, size of lhs = 15:
% 141.89/142.07 P_singleton-{F}(V0,V1), P_singleton-{F}(V2,V1), in-{F}(V2,V3), in-{F}(V4,V3), P_unordered_pair-{F}(V2,V4,V5), in-{F}(V6,V3), P_ordered_pair-{F}(V6,V4,V7), in-{F}(V7,V8), pppp0-{F}(V8,V3), P_ordered_pair-{F}(V2,V6,V9), P_ordered_pair-{F}(V0,V10,V9), P_unordered_pair-{F}(V0,V11,V5), pppp2-{F}(V8,V12,V0,V10,V11), pppp2-{F}(V8,V13,V0,V14,V11), P_ordered_pair-{F}(V0,V14,V15) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1520: exists( #68, #1518 ), references = 1, size of lhs = 18:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), P_ordered_pair-{F}(V4,V3,V5), in-{F}(V5,V6), pppp0-{F}(V6,V2), pppp9-{F}(V1,V7,V8), P_singleton-{F}(V8,V9), P_singleton-{F}(V10,V9), P_unordered_pair-{F}(V8,V3,V11), P_ordered_pair-{F}(V8,V4,V12), P_ordered_pair-{F}(V10,V13,V12), P_unordered_pair-{F}(V10,V14,V11), pppp2-{F}(V6,V15,V10,V13,V14), pppp2-{F}(V6,V16,V10,V17,V14), P_ordered_pair-{F}(V10,V17,V18) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1539: exists( #68, #1537 ), references = 1, size of lhs = 22:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), P_ordered_pair-{F}(V4,V3,V5), in-{F}(V5,V1), in-{F}(V6,V2), P_ordered_pair-{F}(V6,V4,V7), P_ordered_pair-{F}(V6,V3,V8), P_relation_field-{F}(V1,V9), pppp0-{F}(V9,V10), in-{F}(V11,V10), in-{F}(V12,V10), P_ordered_pair-{F}(V12,V11,V13), in-{F}(V9,V13), pppp9-{F}(V9,V12,V14), in-{F}(V14,V10), P_ordered_pair-{F}(V14,V11,V15), P_ordered_pair-{F}(V15,V16,V8), P_ordered_pair-{F}(V17,V18,V7), pppp2-{F}(V1,V19,V17,V18,V20) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1559: exists( #68, #1554 ), references = 1, size of lhs = 14:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), P_ordered_pair-{F}(V4,V3,V5), in-{F}(V5,V1), in-{F}(V6,V2), P_ordered_pair-{F}(V6,V4,V7), P_ordered_pair-{F}(V6,V3,V8), P_relation_field-{F}(V1,V9), P_ordered_pair-{F}(V10,V9,V8), P_ordered_pair-{F}(V11,V12,V7), pppp2-{F}(V1,V13,V11,V12,V14) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1560: exists( #68, #1555 ), references = 1, size of lhs = 17:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), P_ordered_pair-{F}(V4,V3,V5), in-{F}(V5,V1), in-{F}(V6,V2), P_ordered_pair-{F}(V6,V4,V7), P_ordered_pair-{F}(V6,V3,V8), P_relation_field-{F}(V1,V9), P_ordered_pair-{F}(V10,V11,V7), pppp2-{F}(V1,V12,V10,V11,V13), P_ordered_pair-{F}(V14,V15,V8), P_ordered_pair-{F}(V16,V17,V15), pppp8-{F}(V9,V16,V18,V17), P_ordered_pair-{F}(V16,V18,V19) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1643: exists( #68, #1515 ), references = 5, size of lhs = 11:
% 141.89/142.07 P_singleton-{F}(V0,V1), in-{F}(V0,V2), in-{F}(V3,V2), P_unordered_pair-{F}(V0,V3,V4), in-{F}(V5,V2), P_ordered_pair-{F}(V5,V3,V6), in-{F}(V6,V7), pppp0-{F}(V7,V2), P_unordered_pair-{F}(V0,V8,V4), pppp2-{F}(V7,V9,V0,V5,V8), pppp2-{F}(V7,V10,V0,V5,V8) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1645: exists( #69, #1642 ), references = 5, size of lhs = 10:
% 141.89/142.07 in-{F}(V0,V1), in-{F}(V2,V1), P_unordered_pair-{F}(V0,V2,V3), in-{F}(V4,V1), P_ordered_pair-{F}(V4,V2,V5), in-{F}(V5,V6), pppp0-{F}(V6,V1), P_unordered_pair-{F}(V0,V7,V3), pppp2-{F}(V6,V8,V0,V4,V7), pppp2-{F}(V6,V9,V0,V4,V7) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1693: exists( #68, #1689 ), references = 2, size of lhs = 11:
% 141.89/142.07 in-{F}(V0,V1), in-{F}(V2,V1), P_ordered_pair-{F}(V2,V0,V3), in-{F}(V3,V4), pppp0-{F}(V4,V1), P_unordered_pair-{F}(V5,V0,V6), P_unordered_pair-{F}(V5,V7,V6), pppp2-{F}(V4,V8,V5,V2,V7), pppp2-{F}(V4,V9,V5,V2,V7), P_ordered_pair-{F}(V5,V10,V11), pppp2-{F}(V12,V1,V5,V13,V10) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1694: exists( #68, #1690 ), references = 2, size of lhs = 12:
% 141.89/142.07 P_singleton-{F}(V0,V1), in-{F}(V2,V3), P_unordered_pair-{F}(V0,V2,V4), in-{F}(V5,V3), P_ordered_pair-{F}(V5,V2,V6), in-{F}(V6,V7), pppp0-{F}(V7,V3), P_unordered_pair-{F}(V0,V8,V4), pppp2-{F}(V7,V9,V0,V5,V8), pppp2-{F}(V7,V10,V0,V5,V8), P_ordered_pair-{F}(V0,V11,V12), pppp2-{F}(V13,V3,V0,V14,V11) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1705: exists( #65, #1701 ), references = 1, size of lhs = 12:
% 141.89/142.07 P_singleton-{F}(V0,V1), in-{F}(V2,V3), in-{F}(V4,V3), P_ordered_pair-{F}(V4,V2,V5), in-{F}(V5,V6), pppp0-{F}(V6,V3), P_unordered_pair-{F}(V0,V2,V7), P_unordered_pair-{F}(V0,V8,V7), pppp2-{F}(V6,V9,V0,V4,V8), pppp2-{F}(V6,V10,V0,V4,V8), P_unordered_pair-{F}(V0,V11,V12), pppp2-{F}(V13,V3,V0,V14,V11) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1707: mergings( V1 == V4; #1704 ), references = 1, size of lhs = 12:
% 141.89/142.07 P_singleton-{F}(V0,V1), in-{F}(V2,V3), P_unordered_pair-{F}(V0,V2,V4), in-{F}(V5,V3), P_ordered_pair-{F}(V5,V2,V6), in-{F}(V6,V7), pppp0-{F}(V7,V3), P_unordered_pair-{F}(V0,V8,V4), pppp2-{F}(V7,V9,V0,V5,V8), pppp2-{F}(V7,V10,V0,V5,V8), P_unordered_pair-{F}(V0,V11,V12), pppp2-{F}(V13,V3,V0,V14,V11) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1712: exists( #65, #1708 ), references = 1, size of lhs = 12:
% 141.89/142.07 P_singleton-{F}(V0,V1), in-{F}(V2,V3), in-{F}(V4,V3), P_ordered_pair-{F}(V4,V2,V5), in-{F}(V5,V6), pppp0-{F}(V6,V3), P_unordered_pair-{F}(V0,V2,V7), P_unordered_pair-{F}(V0,V8,V7), pppp2-{F}(V6,V9,V0,V4,V8), pppp2-{F}(V6,V10,V0,V4,V8), P_unordered_pair-{F}(V11,V0,V12), pppp2-{F}(V13,V3,V0,V14,V11) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1714: mergings( V4 == V5; #1711 ), references = 1, size of lhs = 12:
% 141.89/142.07 P_singleton-{F}(V0,V1), in-{F}(V2,V3), P_unordered_pair-{F}(V0,V2,V4), in-{F}(V5,V3), P_ordered_pair-{F}(V5,V2,V6), in-{F}(V6,V7), pppp0-{F}(V7,V3), P_unordered_pair-{F}(V0,V8,V4), pppp2-{F}(V7,V9,V0,V5,V8), pppp2-{F}(V7,V10,V0,V5,V8), P_unordered_pair-{F}(V11,V0,V12), pppp2-{F}(V13,V3,V0,V14,V11) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1717: exists( #69, #1710 ), references = 2, size of lhs = 11:
% 141.89/142.07 in-{F}(V0,V1), in-{F}(V2,V1), P_ordered_pair-{F}(V2,V0,V3), in-{F}(V3,V4), pppp0-{F}(V4,V1), P_unordered_pair-{F}(V5,V0,V6), P_unordered_pair-{F}(V5,V7,V6), pppp2-{F}(V4,V8,V5,V2,V7), pppp2-{F}(V4,V9,V5,V2,V7), P_unordered_pair-{F}(V10,V5,V11), pppp2-{F}(V12,V1,V5,V13,V10) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1718: exists( #69, #1711 ), references = 2, size of lhs = 11:
% 141.89/142.07 in-{F}(V0,V1), in-{F}(V2,V1), P_ordered_pair-{F}(V2,V0,V3), in-{F}(V3,V4), pppp0-{F}(V4,V1), P_unordered_pair-{F}(V5,V0,V6), P_unordered_pair-{F}(V5,V7,V6), pppp2-{F}(V4,V8,V5,V2,V7), pppp2-{F}(V4,V9,V5,V2,V7), P_unordered_pair-{F}(V10,V5,V11), pppp2-{F}(V12,V1,V5,V13,V10) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1725: exists( #68, #1721 ), references = 1, size of lhs = 10:
% 141.89/142.07 P_singleton-{F}(V0,V1), in-{F}(V1,V2), in-{F}(V3,V2), P_ordered_pair-{F}(V3,V1,V4), in-{F}(V4,V5), pppp0-{F}(V5,V2), P_unordered_pair-{F}(V0,V6,V7), pppp2-{F}(V5,V8,V7,V3,V1), pppp2-{F}(V5,V9,V7,V3,V1), pppp2-{F}(V10,V2,V7,V11,V1) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1726: exists( #68, #1722 ), references = 1, size of lhs = 10:
% 141.89/142.07 P_singleton-{F}(V0,V1), in-{F}(V1,V2), in-{F}(V3,V2), P_ordered_pair-{F}(V3,V1,V4), in-{F}(V4,V5), pppp0-{F}(V5,V2), P_unordered_pair-{F}(V0,V6,V7), pppp2-{F}(V5,V8,V7,V3,V1), pppp2-{F}(V5,V9,V7,V3,V1), pppp2-{F}(V10,V2,V7,V11,V1) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1758: mergings( V0 == V2, V2 == V3; #1754 ), references = 1, size of lhs = 10:
% 141.89/142.07 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V3,V2), P_ordered_pair-{F}(V4,V5,V1), P_ordered_pair-{F}(V6,V4,V3), P_ordered_pair-{F}(V6,V5,V7), P_ordered_pair-{F}(V8,V9,V7), P_ordered_pair-{F}(V10,V8,V7), P_ordered_pair-{F}(V10,V9,V11), pppp3-{F}(V12,V11,V2,V13) | pppp17-{T}(V2)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1762: mergings( V0 == V2, V2 == V3, V3 == V4; #1755 ), references = 1, size of lhs = 12:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), P_ordered_pair-{F}(V3,V4,V2), P_ordered_pair-{F}(V5,V4,V6), P_ordered_pair-{F}(V3,V5,V6), P_ordered_pair-{F}(V7,V8,V6), P_ordered_pair-{F}(V9,V8,V10), in-{F}(V10,V11), P_ordered_pair-{F}(V7,V9,V12), in-{F}(V12,V11), pppp3-{F}(V1,V13,V11,V14) | pppp17-{T}(V11)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1769: exists( #65, #1763 ), references = 1, size of lhs = 8:
% 141.89/142.07 in-{F}(V0,V1), pppp0-{F}(V2,V1), in-{F}(V3,V2), in-{F}(V4,V1), P_ordered_pair-{F}(V0,V4,V3), pppp2-{F}(V2,V5,V6,V0,V4), pppp2-{F}(V2,V7,V6,V0,V4), pppp2-{F}(V8,V1,V6,V9,V4) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1770: exists( #65, #1764 ), references = 1, size of lhs = 8:
% 141.89/142.07 in-{F}(V0,V1), pppp0-{F}(V2,V1), in-{F}(V3,V2), in-{F}(V4,V1), P_ordered_pair-{F}(V0,V4,V3), pppp2-{F}(V2,V5,V6,V0,V4), pppp2-{F}(V2,V7,V6,V0,V4), pppp2-{F}(V8,V1,V6,V9,V4) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1845: exists( #65, #1841 ), references = 1, size of lhs = 16:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), P_ordered_pair-{F}(V4,V3,V5), in-{F}(V5,V6), pppp0-{F}(V6,V2), P_singleton-{F}(V7,V8), P_unordered_pair-{F}(V7,V3,V9), P_unordered_pair-{F}(V7,V10,V9), pppp2-{F}(V6,V11,V7,V4,V10), pppp2-{F}(V6,V12,V7,V4,V10), P_unordered_pair-{F}(V7,V13,V14), pppp2-{F}(V1,V15,V7,V13,V16), P_ordered_pair-{F}(V7,V16,V17) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1847: mergings( V0 == V11; #1844 ), references = 1, size of lhs = 16:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), P_ordered_pair-{F}(V4,V3,V5), in-{F}(V5,V6), pppp0-{F}(V6,V2), P_singleton-{F}(V7,V8), P_unordered_pair-{F}(V7,V3,V9), P_unordered_pair-{F}(V7,V10,V9), pppp2-{F}(V6,V11,V7,V4,V10), pppp2-{F}(V6,V12,V7,V4,V10), P_unordered_pair-{F}(V7,V13,V14), pppp2-{F}(V1,V15,V7,V13,V16), P_ordered_pair-{F}(V7,V16,V17) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1852: exists( #65, #1848 ), references = 2, size of lhs = 13:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), pppp0-{F}(V4,V2), in-{F}(V5,V4), in-{F}(V6,V2), P_ordered_pair-{F}(V3,V6,V5), P_singleton-{F}(V7,V8), pppp2-{F}(V4,V9,V7,V3,V6), pppp2-{F}(V4,V10,V7,V3,V6), pppp2-{F}(V1,V11,V7,V6,V12), P_ordered_pair-{F}(V7,V12,V13) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1854: mergings( V9 == V10; #1851 ), references = 2, size of lhs = 13:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), pppp0-{F}(V4,V2), in-{F}(V5,V4), in-{F}(V6,V2), P_ordered_pair-{F}(V3,V6,V5), P_singleton-{F}(V7,V8), pppp2-{F}(V4,V9,V7,V3,V6), pppp2-{F}(V4,V10,V7,V3,V6), pppp2-{F}(V1,V11,V7,V6,V12), P_ordered_pair-{F}(V7,V12,V13) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1881: exists( #68, #1852 ), references = 1, size of lhs = 12:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), pppp0-{F}(V4,V2), in-{F}(V5,V4), in-{F}(V6,V2), P_ordered_pair-{F}(V3,V6,V5), P_singleton-{F}(V7,V8), pppp2-{F}(V4,V9,V7,V3,V6), pppp2-{F}(V4,V10,V7,V3,V6), pppp2-{F}(V1,V11,V7,V6,V12) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1882: exists( #68, #1854 ), references = 1, size of lhs = 12:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), pppp0-{F}(V4,V2), in-{F}(V5,V4), in-{F}(V6,V2), P_ordered_pair-{F}(V3,V6,V5), P_singleton-{F}(V7,V8), pppp2-{F}(V4,V9,V7,V3,V6), pppp2-{F}(V4,V10,V7,V3,V6), pppp2-{F}(V1,V11,V7,V6,V12) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1885: exists( #69, #1878 ), references = 1, size of lhs = 11:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), pppp0-{F}(V4,V2), in-{F}(V5,V4), in-{F}(V6,V2), P_ordered_pair-{F}(V3,V6,V5), pppp2-{F}(V4,V7,V8,V3,V6), pppp2-{F}(V4,V9,V8,V3,V6), pppp2-{F}(V1,V10,V8,V6,V11) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1886: exists( #69, #1879 ), references = 1, size of lhs = 11:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), pppp0-{F}(V4,V2), in-{F}(V5,V4), in-{F}(V6,V2), P_ordered_pair-{F}(V3,V6,V5), pppp2-{F}(V4,V7,V8,V3,V6), pppp2-{F}(V4,V9,V8,V3,V6), pppp2-{F}(V1,V10,V8,V6,V11) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1946: exists( #68, #1944 ), references = 1, size of lhs = 9:
% 141.89/142.07 P_empty_set-{F}(V0), pppp1-{F}(V1), in-{F}(V1,V2), P_ordered_pair-{F}(V3,V4,V2), P_ordered_pair-{F}(V5,V4,V6), P_ordered_pair-{F}(V3,V5,V7), P_ordered_pair-{F}(V8,V9,V6), pppp2-{F}(V1,V10,V8,V9,V11), pppp2-{F}(V12,V1,V7,V13,V14) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1960: exists( #68, #1958 ), references = 2, size of lhs = 9:
% 141.89/142.07 P_empty_set-{F}(V0), pppp1-{F}(V1), in-{F}(V2,V1), P_ordered_pair-{F}(V3,V4,V2), P_ordered_pair-{F}(V5,V3,V6), P_ordered_pair-{F}(V5,V7,V6), pppp2-{F}(V1,V8,V5,V7,V4), pppp2-{F}(V1,V9,V5,V10,V4), P_ordered_pair-{F}(V5,V10,V11) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1974: exists( #68, #1960 ), references = 1, size of lhs = 6:
% 141.89/142.07 P_empty_set-{F}(V0), pppp1-{F}(V1), in-{F}(V2,V1), P_ordered_pair-{F}(V3,V4,V2), pppp2-{F}(V1,V5,V6,V3,V4), pppp2-{F}(V1,V7,V6,V3,V4) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1978: mergings( V7 == V4; #1976 ), references = 2, size of lhs = 7:
% 141.89/142.07 P_empty_set-{F}(V0), pppp1-{F}(V1), in-{F}(V2,V1), P_ordered_pair-{F}(V3,V4,V2), pppp3-{F}(V1,V5,V3,V4), P_ordered_pair-{F}(V6,V7,V8), pppp3-{F}(V9,V10,V6,V7) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1984: exists( #68, #1982 ), references = 1, size of lhs = 5:
% 141.89/142.07 P_empty_set-{F}(V0), pppp1-{F}(V1), pppp3-{F}(V1,V2,V3,V4), pppp3-{F}(V1,V5,V3,V4), pppp3-{F}(V6,V7,V3,V4) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1986: exists( #14, #1983 ), references = 1, size of lhs = 3:
% 141.89/142.07 P_empty_set-{F}(V0), pppp1-{F}(V1), pppp4-{F}(V1,V2,V3) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1988: exists( #13, #1985 ), references = 2, size of lhs = 3:
% 141.89/142.07 P_empty_set-{F}(V0), pppp1-{F}(V1), pppp16-{F}(V1,V2) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #1991: mergings( V0 == V2; #1989 ), references = 1, size of lhs = 2:
% 141.89/142.07 P_empty_set-{F}(V0), pppp16-{F}(V1,V2) | pppp17-{T}(V1)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2001: mergings( V0 == V2; #1999 ), references = 1, size of lhs = 2:
% 141.89/142.07 empty-{F}(V0), P_empty_set-{F}(V1) | pppp1-{T}(V0)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2013: mergings( V4 == V5; #2010 ), references = 1, size of lhs = 5:
% 141.89/142.07 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)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2015: mergings( V4 == V5; #2011 ), references = 1, size of lhs = 6:
% 141.89/142.07 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)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2028: exists( #67, #2025 ), references = 1, size of lhs = 4:
% 141.89/142.07 relation-{F}(V0), pppp6-{F}(V0), pppp1-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2030: disj( #32, exists( #67, #2025 ) ), references = 1, size of lhs = 3:
% 141.89/142.07 relation-{F}(V0), pppp6-{F}(V0), P_empty_set-{F}(V1) | transitive-{T}(V0)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2044: disj( #12, exists( #13, #1985 ) ), references = 1, size of lhs = 3:
% 141.89/142.07 P_empty_set-{F}(V0), pppp1-{F}(V1), #-{F} V2 | pppp0-{T}(V1,V2)
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2071: mergings( V3 == V6; #2068 ), references = 1, size of lhs = 9:
% 141.89/142.07 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_empty_set-{F}(V2), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), pppp9-{F}(V0,V5,V6), P_unordered_pair-{F}(V5,V6,V7), P_unordered_pair-{F}(V3,V8,V7) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2072: exists( #68, #2067 ), references = 1, size of lhs = 9:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V2,V3), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), pppp9-{F}(V1,V3,V6), P_unordered_pair-{F}(V3,V6,V7), P_unordered_pair-{F}(V5,V8,V7) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2076: mergings( V3 == V6; #2073 ), references = 1, size of lhs = 6:
% 141.89/142.07 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_empty_set-{F}(V2), P_singleton-{F}(V3,V4), pppp9-{F}(V0,V3,V5) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2077: exists( #65, #2069 ), references = 2, size of lhs = 6:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V2,V3), P_singleton-{F}(V3,V4), pppp9-{F}(V1,V3,V5) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2081: mergings( V3 == V5; #2078 ), references = 1, size of lhs = 6:
% 141.89/142.07 relation-{F}(V0), pppp10-{F}(V0,V1), P_relation_field-{F}(V0,V2), empty-{F}(V2), P_empty_set-{F}(V3), P_singleton-{F}(V1,V4) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2082: exists( #37, #2074 ), references = 1, size of lhs = 6:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), pppp10-{F}(V1,V2), P_relation_field-{F}(V1,V3), in-{F}(V3,V2), P_singleton-{F}(V2,V4) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2086: mergings( V2 == V5; #2083 ), references = 1, size of lhs = 5:
% 141.89/142.07 relation-{F}(V0), pppp10-{F}(V0,V1), P_relation_field-{F}(V0,V2), empty-{F}(V2), P_empty_set-{F}(V3) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2087: exists( #69, #2079 ), references = 3, size of lhs = 5:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), pppp10-{F}(V1,V2), P_relation_field-{F}(V1,V3), in-{F}(V3,V2) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2124: mergings( V3 == V4, V1 == V10; #2121 ), references = 2, size of lhs = 13:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), P_relation_field-{F}(V1,V4), pppp0-{F}(V1,V4), in-{F}(V5,V4), P_ordered_pair-{F}(V1,V5,V4), pppp9-{F}(V1,V1,V6), P_singleton-{F}(V6,V2), P_unordered_pair-{F}(V6,V5,V7), P_unordered_pair-{F}(V3,V6,V7), P_unordered_pair-{F}(V1,V6,V7) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2140: mergings( V3 == V6; #2138 ), references = 1, size of lhs = 15:
% 141.89/142.07 relation-{F}(V0), P_relation_field-{F}(V0,V1), P_empty_set-{F}(V2), relation-{F}(V3), P_relation_field-{F}(V3,V1), pppp0-{F}(V3,V1), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), P_ordered_pair-{F}(V3,V6,V1), pppp9-{F}(V3,V3,V7), P_singleton-{F}(V7,V4), P_unordered_pair-{F}(V7,V6,V8), P_unordered_pair-{F}(V5,V7,V8), P_unordered_pair-{F}(V3,V7,V8), pppp9-{F}(V0,V6,V9) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2144: mergings( V3 == V6; #2142 ), references = 1, size of lhs = 11:
% 141.89/142.07 relation-{F}(V0), P_relation_field-{F}(V0,V1), P_empty_set-{F}(V2), relation-{F}(V3), P_relation_field-{F}(V3,V1), pppp0-{F}(V3,V1), P_ordered_pair-{F}(V3,V3,V1), P_singleton-{F}(V3,V4), pppp9-{F}(V3,V3,V5), P_singleton-{F}(V5,V4), pppp9-{F}(V0,V3,V6) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2172: exists( #68, #2168 ), references = 1, size of lhs = 11:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp0-{F}(V2,V2), in-{F}(V3,V2), P_ordered_pair-{F}(V4,V3,V2), in-{F}(V4,V2), P_ordered_pair-{F}(V5,V3,V5), P_ordered_pair-{F}(V4,V5,V6), in-{F}(V6,V2), pppp9-{F}(V1,V7,V5) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2173: exists( #68, #2169 ), references = 1, size of lhs = 16:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp0-{F}(V2,V2), in-{F}(V3,V2), in-{F}(V4,V2), P_ordered_pair-{F}(V4,V3,V2), in-{F}(V5,V2), in-{F}(V6,V2), P_ordered_pair-{F}(V6,V5,V2), pppp9-{F}(V2,V6,V7), P_ordered_pair-{F}(V7,V3,V7), P_ordered_pair-{F}(V7,V5,V7), P_ordered_pair-{F}(V4,V7,V8), in-{F}(V8,V2), pppp9-{F}(V1,V9,V7) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2232: exists( #68, #2228 ), references = 1, size of lhs = 6:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), pppp10-{F}(V1,V2), P_relation_field-{F}(V1,V3), P_ordered_pair-{F}(V4,V5,V3), pppp8-{F}(V2,V4,V5,V6) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2233: exists( #68, #2229 ), references = 1, size of lhs = 7:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), P_ordered_pair-{F}(V3,V4,V2), pppp8-{F}(V5,V3,V4,V6), P_singleton-{F}(V5,V7), pppp9-{F}(V1,V5,V8) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2309: exists( #68, #2307 ), references = 2, size of lhs = 9:
% 141.89/142.07 P_singleton-{F}(V0,V1), P_singleton-{F}(V2,V1), P_singleton-{F}(V3,V1), P_unordered_pair-{F}(V0,V4,V5), P_unordered_pair-{F}(V3,V6,V5), P_unordered_pair-{F}(V2,V7,V5), P_ordered_pair-{F}(V3,V8,V9), pppp8-{F}(V10,V3,V8,V6), pppp3-{F}(V10,V11,V2,V7) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2329: exists( #68, #2323 ), references = 2, size of lhs = 17:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), P_unordered_pair-{F}(V3,V4,V5), pppp0-{F}(V6,V2), in-{F}(V7,V6), P_ordered_pair-{F}(V8,V4,V7), P_unordered_pair-{F}(V3,V9,V5), pppp2-{F}(V6,V10,V3,V8,V9), pppp2-{F}(V6,V11,V3,V8,V9), P_singleton-{F}(V12,V13), P_singleton-{F}(V14,V13), P_unordered_pair-{F}(V14,V8,V15), P_unordered_pair-{F}(V12,V16,V15), pppp3-{F}(V1,V17,V14,V8) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2330: exists( #68, #2324 ), references = 2, size of lhs = 18:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), in-{F}(V5,V2), P_unordered_pair-{F}(V3,V5,V6), pppp0-{F}(V7,V2), in-{F}(V8,V7), P_ordered_pair-{F}(V9,V5,V8), P_unordered_pair-{F}(V3,V10,V6), pppp2-{F}(V7,V11,V3,V9,V10), pppp2-{F}(V7,V12,V3,V9,V10), P_singleton-{F}(V13,V14), P_singleton-{F}(V15,V14), P_unordered_pair-{F}(V15,V9,V16), P_unordered_pair-{F}(V13,V17,V16), pppp3-{F}(V1,V18,V15,V9) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2331: exists( #68, #2325 ), references = 2, size of lhs = 22:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), in-{F}(V6,V2), P_unordered_pair-{F}(V3,V6,V7), pppp0-{F}(V8,V2), in-{F}(V9,V8), P_ordered_pair-{F}(V10,V6,V9), P_ordered_pair-{F}(V3,V10,V11), P_ordered_pair-{F}(V5,V12,V11), P_unordered_pair-{F}(V5,V13,V7), pppp2-{F}(V8,V14,V5,V12,V13), P_singleton-{F}(V15,V16), P_singleton-{F}(V17,V16), P_unordered_pair-{F}(V17,V10,V18), P_unordered_pair-{F}(V15,V19,V18), pppp3-{F}(V1,V20,V17,V10), pppp2-{F}(V8,V21,V5,V22,V13), P_ordered_pair-{F}(V5,V22,V23) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2338: exists( #65, #2332 ), references = 1, size of lhs = 15:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), P_unordered_pair-{F}(V3,V4,V5), pppp0-{F}(V6,V2), in-{F}(V7,V6), P_ordered_pair-{F}(V8,V4,V7), P_singleton-{F}(V8,V9), P_singleton-{F}(V10,V9), pppp3-{F}(V1,V11,V10,V8), P_unordered_pair-{F}(V3,V12,V5), pppp2-{F}(V6,V13,V3,V8,V12), pppp2-{F}(V6,V14,V3,V8,V12) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2339: exists( #65, #2333 ), references = 1, size of lhs = 16:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), in-{F}(V5,V2), P_unordered_pair-{F}(V3,V5,V6), pppp0-{F}(V7,V2), in-{F}(V8,V7), P_ordered_pair-{F}(V9,V5,V8), P_singleton-{F}(V9,V10), P_singleton-{F}(V11,V10), pppp3-{F}(V1,V12,V11,V9), P_unordered_pair-{F}(V3,V13,V6), pppp2-{F}(V7,V14,V3,V9,V13), pppp2-{F}(V7,V15,V3,V9,V13) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2340: exists( #65, #2334 ), references = 1, size of lhs = 20:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), in-{F}(V6,V2), P_unordered_pair-{F}(V3,V6,V7), pppp0-{F}(V8,V2), in-{F}(V9,V8), P_ordered_pair-{F}(V10,V6,V9), P_ordered_pair-{F}(V3,V10,V11), P_ordered_pair-{F}(V5,V12,V11), P_singleton-{F}(V10,V13), P_singleton-{F}(V14,V13), pppp3-{F}(V1,V15,V14,V10), P_unordered_pair-{F}(V5,V16,V7), pppp2-{F}(V8,V17,V5,V12,V16), pppp2-{F}(V8,V18,V5,V19,V16), P_ordered_pair-{F}(V5,V19,V20) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2347: exists( #65, #2341 ), references = 1, size of lhs = 14:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), P_unordered_pair-{F}(V3,V4,V5), pppp0-{F}(V6,V2), in-{F}(V7,V6), P_ordered_pair-{F}(V8,V4,V7), P_unordered_pair-{F}(V3,V9,V5), pppp2-{F}(V6,V10,V3,V8,V9), pppp2-{F}(V6,V11,V3,V8,V9), P_singleton-{F}(V12,V13), pppp3-{F}(V1,V14,V12,V8) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2348: exists( #65, #2342 ), references = 1, size of lhs = 15:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), in-{F}(V5,V2), P_unordered_pair-{F}(V3,V5,V6), pppp0-{F}(V7,V2), in-{F}(V8,V7), P_ordered_pair-{F}(V9,V5,V8), P_unordered_pair-{F}(V3,V10,V6), pppp2-{F}(V7,V11,V3,V9,V10), pppp2-{F}(V7,V12,V3,V9,V10), P_singleton-{F}(V13,V14), pppp3-{F}(V1,V15,V13,V9) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2349: exists( #65, #2343 ), references = 1, size of lhs = 19:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), in-{F}(V6,V2), P_unordered_pair-{F}(V3,V6,V7), pppp0-{F}(V8,V2), in-{F}(V9,V8), P_ordered_pair-{F}(V10,V6,V9), P_ordered_pair-{F}(V3,V10,V11), P_ordered_pair-{F}(V5,V12,V11), P_unordered_pair-{F}(V5,V13,V7), pppp2-{F}(V8,V14,V5,V12,V13), P_singleton-{F}(V15,V16), pppp3-{F}(V1,V17,V15,V10), pppp2-{F}(V8,V18,V5,V19,V13), P_ordered_pair-{F}(V5,V19,V20) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2353: exists( #69, #2344 ), references = 2, size of lhs = 13:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), P_unordered_pair-{F}(V3,V4,V5), pppp0-{F}(V6,V2), in-{F}(V7,V6), P_ordered_pair-{F}(V8,V4,V7), P_unordered_pair-{F}(V3,V9,V5), pppp2-{F}(V6,V10,V3,V8,V9), pppp2-{F}(V6,V11,V3,V8,V9), pppp3-{F}(V1,V12,V13,V8) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2354: exists( #69, #2345 ), references = 1, size of lhs = 14:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), in-{F}(V5,V2), P_unordered_pair-{F}(V3,V5,V6), pppp0-{F}(V7,V2), in-{F}(V8,V7), P_ordered_pair-{F}(V9,V5,V8), P_unordered_pair-{F}(V3,V10,V6), pppp2-{F}(V7,V11,V3,V9,V10), pppp2-{F}(V7,V12,V3,V9,V10), pppp3-{F}(V1,V13,V14,V9) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2355: exists( #69, #2346 ), references = 1, size of lhs = 18:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), in-{F}(V6,V2), P_unordered_pair-{F}(V3,V6,V7), pppp0-{F}(V8,V2), in-{F}(V9,V8), P_ordered_pair-{F}(V10,V6,V9), P_ordered_pair-{F}(V3,V10,V11), P_ordered_pair-{F}(V5,V12,V11), P_unordered_pair-{F}(V5,V13,V7), pppp2-{F}(V8,V14,V5,V12,V13), pppp3-{F}(V1,V15,V16,V10), pppp2-{F}(V8,V17,V5,V18,V13), P_ordered_pair-{F}(V5,V18,V19) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2390: exists( #68, #19 ), references = 1, size of lhs = 3:
% 141.89/142.07 in-{F}(V0,V1), P_ordered_pair-{F}(V2,V3,V0), pppp2-{F}(V1,V4,V2,V5,V3) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2428: mergings( V3 == V4; #2424 ), references = 1, size of lhs = 12:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), pppp0-{F}(V4,V2), in-{F}(V5,V4), P_ordered_pair-{F}(V6,V3,V5), P_unordered_pair-{F}(V7,V3,V8), pppp3-{F}(V1,V9,V7,V6), P_unordered_pair-{F}(V7,V10,V8), pppp2-{F}(V4,V11,V7,V6,V10), pppp2-{F}(V4,V12,V7,V6,V10) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2430: mergings( V3 == V6; #2425 ), references = 1, size of lhs = 15:
% 141.89/142.07 relation-{F}(V0), P_relation_field-{F}(V0,V1), P_empty_set-{F}(V2), relation-{F}(V3), P_relation_field-{F}(V3,V1), in-{F}(V4,V1), pppp0-{F}(V5,V1), in-{F}(V6,V5), P_ordered_pair-{F}(V7,V4,V6), P_unordered_pair-{F}(V8,V4,V9), P_unordered_pair-{F}(V8,V10,V9), pppp2-{F}(V5,V11,V8,V7,V10), pppp2-{F}(V5,V12,V8,V7,V10), pppp3-{F}(V3,V13,V14,V7), pppp3-{F}(V0,V15,V8,V16) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2432: mergings( V3 == V4; #2426 ), references = 1, size of lhs = 13:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), pppp0-{F}(V4,V2), in-{F}(V5,V4), P_ordered_pair-{F}(V6,V3,V5), P_singleton-{F}(V7,V8), P_unordered_pair-{F}(V7,V3,V9), pppp3-{F}(V1,V10,V7,V6), P_unordered_pair-{F}(V7,V11,V9), pppp2-{F}(V4,V12,V7,V6,V11), pppp2-{F}(V4,V13,V7,V6,V11) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2440: mergings( V3 == V4; #2436 ), references = 1, size of lhs = 10:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp0-{F}(V3,V2), in-{F}(V4,V3), in-{F}(V5,V2), P_ordered_pair-{F}(V6,V5,V4), pppp3-{F}(V1,V7,V8,V6), pppp2-{F}(V3,V9,V8,V6,V5), pppp2-{F}(V3,V10,V8,V6,V5) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2442: mergings( V3 == V6; #2437 ), references = 1, size of lhs = 13:
% 141.89/142.07 relation-{F}(V0), P_relation_field-{F}(V0,V1), P_empty_set-{F}(V2), relation-{F}(V3), P_relation_field-{F}(V3,V1), pppp0-{F}(V4,V1), in-{F}(V5,V4), in-{F}(V6,V1), P_ordered_pair-{F}(V7,V6,V5), pppp2-{F}(V4,V8,V9,V7,V6), pppp2-{F}(V4,V10,V9,V7,V6), pppp3-{F}(V3,V11,V12,V7), pppp3-{F}(V0,V13,V9,V14) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2506: mergings( V3 == V4, V4 == V7; #2503 ), references = 1, size of lhs = 13:
% 141.89/142.07 relation-{F}(V0), P_relation_field-{F}(V0,V1), pppp0-{F}(V0,V1), P_empty_set-{F}(V2), relation-{F}(V3), pppp10-{F}(V3,V0), P_relation_field-{F}(V3,V4), P_ordered_pair-{F}(V5,V5,V4), P_singleton-{F}(V5,V6), P_singleton-{F}(V7,V6), P_unordered_pair-{F}(V7,V5,V8), P_unordered_pair-{F}(V5,V7,V8), pppp3-{F}(V0,V9,V7,V5) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2511: mergings( V3 == V4, V4 == V7; #2508 ), references = 1, size of lhs = 11:
% 141.89/142.07 relation-{F}(V0), P_relation_field-{F}(V0,V1), pppp0-{F}(V0,V1), P_empty_set-{F}(V2), relation-{F}(V3), pppp10-{F}(V3,V0), P_relation_field-{F}(V3,V4), P_ordered_pair-{F}(V5,V5,V4), P_singleton-{F}(V5,V6), P_singleton-{F}(V7,V6), pppp3-{F}(V0,V8,V7,V5) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2579: exists( #68, #2577 ), references = 1, size of lhs = 12:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), pppp0-{F}(V5,V2), pppp9-{F}(V5,V3,V4), in-{F}(V5,V6), P_ordered_pair-{F}(V3,V7,V6), P_ordered_pair-{F}(V4,V7,V8), in-{F}(V8,V5), pppp3-{F}(V1,V9,V7,V10) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2601: exists( #68, #2595 ), references = 1, size of lhs = 12:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), P_ordered_pair-{F}(V4,V3,V5), pppp0-{F}(V5,V2), in-{F}(V6,V5), P_ordered_pair-{F}(V7,V3,V6), P_ordered_pair-{F}(V4,V7,V8), in-{F}(V8,V5), pppp3-{F}(V1,V9,V10,V7) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2602: exists( #68, #2596 ), references = 1, size of lhs = 19:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), P_ordered_pair-{F}(V4,V3,V5), pppp0-{F}(V5,V2), pppp0-{F}(V5,V6), in-{F}(V7,V6), in-{F}(V8,V6), P_ordered_pair-{F}(V8,V7,V5), pppp9-{F}(V5,V8,V9), in-{F}(V9,V6), P_ordered_pair-{F}(V9,V7,V5), in-{F}(V10,V5), P_ordered_pair-{F}(V11,V3,V10), P_ordered_pair-{F}(V4,V11,V12), in-{F}(V12,V5), pppp3-{F}(V1,V13,V14,V11) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2603: exists( #68, #2597 ), references = 1, size of lhs = 15:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), P_ordered_pair-{F}(V4,V3,V5), pppp0-{F}(V6,V2), in-{F}(V7,V6), P_ordered_pair-{F}(V8,V3,V7), P_ordered_pair-{F}(V4,V8,V9), in-{F}(V9,V6), pppp3-{F}(V1,V10,V11,V8), P_ordered_pair-{F}(V12,V13,V5), pppp8-{F}(V6,V12,V14,V13), P_ordered_pair-{F}(V12,V14,V15) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2607: exists( #14, #2598 ), references = 2, size of lhs = 12:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), P_ordered_pair-{F}(V4,V3,V5), pppp0-{F}(V5,V2), in-{F}(V6,V5), P_ordered_pair-{F}(V7,V3,V6), pppp4-{F}(V1,V8,V7), P_ordered_pair-{F}(V4,V7,V9), in-{F}(V9,V5) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2608: exists( #14, #2599 ), references = 2, size of lhs = 19:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), P_ordered_pair-{F}(V4,V3,V5), pppp0-{F}(V5,V2), pppp0-{F}(V5,V6), in-{F}(V7,V6), in-{F}(V8,V6), P_ordered_pair-{F}(V8,V7,V5), pppp9-{F}(V5,V8,V9), in-{F}(V9,V6), P_ordered_pair-{F}(V9,V7,V5), in-{F}(V10,V5), P_ordered_pair-{F}(V11,V3,V10), pppp4-{F}(V1,V12,V11), P_ordered_pair-{F}(V4,V11,V13), in-{F}(V13,V5) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2628: exists( #68, #2624 ), references = 1, size of lhs = 15:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), P_ordered_pair-{F}(V3,V4,V5), pppp0-{F}(V5,V2), in-{F}(V6,V5), P_ordered_pair-{F}(V3,V7,V6), P_singleton-{F}(V7,V8), P_singleton-{F}(V9,V8), P_unordered_pair-{F}(V7,V4,V10), P_unordered_pair-{F}(V9,V11,V10), pppp4-{F}(V1,V12,V7), pppp3-{F}(V5,V13,V7,V4) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2629: exists( #68, #2625 ), references = 1, size of lhs = 22:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), P_ordered_pair-{F}(V3,V4,V5), pppp0-{F}(V5,V2), pppp0-{F}(V5,V6), in-{F}(V7,V6), in-{F}(V8,V6), P_ordered_pair-{F}(V8,V7,V5), pppp9-{F}(V5,V8,V9), in-{F}(V9,V6), P_ordered_pair-{F}(V9,V7,V5), in-{F}(V10,V5), P_ordered_pair-{F}(V3,V11,V10), P_singleton-{F}(V11,V12), P_singleton-{F}(V13,V12), P_unordered_pair-{F}(V11,V4,V14), P_unordered_pair-{F}(V13,V15,V14), pppp4-{F}(V1,V16,V11), pppp3-{F}(V5,V17,V11,V4) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2632: exists( #69, #2626 ), references = 1, size of lhs = 13:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), P_ordered_pair-{F}(V3,V4,V5), pppp0-{F}(V5,V2), in-{F}(V6,V5), P_ordered_pair-{F}(V3,V7,V6), P_unordered_pair-{F}(V7,V4,V8), P_unordered_pair-{F}(V7,V9,V8), pppp4-{F}(V1,V10,V7), pppp3-{F}(V5,V11,V7,V4) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2633: exists( #69, #2627 ), references = 1, size of lhs = 20:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), P_ordered_pair-{F}(V3,V4,V5), pppp0-{F}(V5,V2), pppp0-{F}(V5,V6), in-{F}(V7,V6), in-{F}(V8,V6), P_ordered_pair-{F}(V8,V7,V5), pppp9-{F}(V5,V8,V9), in-{F}(V9,V6), P_ordered_pair-{F}(V9,V7,V5), in-{F}(V10,V5), P_ordered_pair-{F}(V3,V11,V10), P_unordered_pair-{F}(V11,V4,V12), P_unordered_pair-{F}(V11,V13,V12), pppp4-{F}(V1,V14,V11), pppp3-{F}(V5,V15,V11,V4) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2661: exists( #68, #2659 ), references = 1, size of lhs = 2:
% 141.89/142.07 P_ordered_pair-{F}(V0,V1,V2), pppp8-{F}(V2,V0,V1,V3) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2667: exists( #68, #2665 ), references = 1, size of lhs = 7:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V2,V3), P_ordered_pair-{F}(V3,V4,V5), P_ordered_pair-{F}(V6,V7,V5), pppp8-{F}(V1,V6,V7,V8) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2671: exists( #68, #2669 ), references = 1, size of lhs = 9:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V2,V3), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), P_unordered_pair-{F}(V5,V6,V7), P_unordered_pair-{F}(V3,V8,V7), pppp8-{F}(V1,V3,V8,V9) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2673: exists( #68, #40 ), references = 3, size of lhs = 3:
% 141.89/142.07 in-{F}(V0,V1), P_ordered_pair-{F}(V2,V3,V0), pppp8-{F}(V1,V2,V4,V3) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2710: exists( #68, #2704 ), references = 1, size of lhs = 5:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V2,V3), pppp3-{F}(V1,V4,V5,V3) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2711: exists( #68, #2705 ), references = 1, size of lhs = 6:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp8-{F}(V2,V3,V4,V5), P_ordered_pair-{F}(V3,V5,V6), pppp3-{F}(V1,V7,V6,V8) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2713: exists( #14, #2707 ), references = 1, size of lhs = 5:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V2,V3), pppp4-{F}(V1,V4,V3) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2749: exists( #68, #2745 ), references = 2, size of lhs = 9:
% 141.89/142.07 in-{F}(V0,V1), in-{F}(V2,V1), P_ordered_pair-{F}(V2,V0,V3), in-{F}(V3,V4), pppp0-{F}(V4,V1), in-{F}(V5,V1), P_ordered_pair-{F}(V0,V5,V6), in-{F}(V6,V4), pppp8-{F}(V4,V2,V7,V5) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2750: exists( #68, #2746 ), references = 2, size of lhs = 10:
% 141.89/142.07 in-{F}(V0,V1), in-{F}(V2,V1), P_ordered_pair-{F}(V2,V0,V3), in-{F}(V3,V4), pppp0-{F}(V4,V1), in-{F}(V5,V1), P_ordered_pair-{F}(V0,V5,V6), in-{F}(V6,V4), pppp8-{F}(V4,V2,V7,V5), P_ordered_pair-{F}(V2,V7,V8) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2768: mergings( V3 == V5; #2765 ), references = 1, size of lhs = 11:
% 141.89/142.07 P_singleton-{F}(V0,V1), P_singleton-{F}(V2,V1), P_singleton-{F}(V3,V1), P_singleton-{F}(V4,V1), P_unordered_pair-{F}(V0,V5,V6), P_unordered_pair-{F}(V2,V7,V6), P_unordered_pair-{F}(V3,V8,V9), P_unordered_pair-{F}(V2,V10,V9), pppp8-{F}(V11,V2,V7,V10), P_unordered_pair-{F}(V4,V12,V9), pppp3-{F}(V11,V13,V4,V12) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2784: mergings( V12 == V13, V7 == V1, V9 == V0; #2779 ), references = 1, size of lhs = 12:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp0-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), P_ordered_pair-{F}(V3,V4,V5), in-{F}(V5,V1), P_ordered_pair-{F}(V6,V3,V7), P_ordered_pair-{F}(V6,V8,V7), P_ordered_pair-{F}(V6,V9,V7), pppp8-{F}(V1,V6,V9,V4) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2789: mergings( V12 == V14, V7 == V1, V9 == V0, V13 == V10; #2780 ), references = 1, size of lhs = 12:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp0-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), P_ordered_pair-{F}(V3,V4,V5), in-{F}(V5,V1), P_ordered_pair-{F}(V6,V3,V7), P_ordered_pair-{F}(V6,V8,V7), P_ordered_pair-{F}(V6,V9,V7), pppp8-{F}(V1,V6,V9,V4) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2798: mergings( V11 == V6, V7 == V12; #2794 ), references = 2, size of lhs = 12:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp0-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), P_ordered_pair-{F}(V3,V4,V5), in-{F}(V5,V1), pppp8-{F}(V1,V6,V3,V4), P_singleton-{F}(V6,V7), P_unordered_pair-{F}(V6,V3,V8), P_unordered_pair-{F}(V6,V9,V8) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2800: mergings( V7 == V11; #2795 ), references = 2, size of lhs = 12:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp0-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), P_ordered_pair-{F}(V3,V4,V5), in-{F}(V5,V1), pppp8-{F}(V1,V6,V3,V4), P_singleton-{F}(V6,V7), P_unordered_pair-{F}(V6,V3,V8), P_unordered_pair-{F}(V6,V9,V8) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2837: exists( #69, #2798 ), references = 2, size of lhs = 11:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp0-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), P_ordered_pair-{F}(V3,V4,V5), in-{F}(V5,V1), pppp8-{F}(V1,V6,V3,V4), P_unordered_pair-{F}(V6,V3,V7), P_unordered_pair-{F}(V6,V8,V7) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2838: exists( #69, #2800 ), references = 2, size of lhs = 11:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp0-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), P_ordered_pair-{F}(V3,V4,V5), in-{F}(V5,V1), pppp8-{F}(V1,V6,V3,V4), P_unordered_pair-{F}(V6,V3,V7), P_unordered_pair-{F}(V6,V8,V7) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2845: exists( #68, #2841 ), references = 1, size of lhs = 11:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp0-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), P_ordered_pair-{F}(V3,V4,V5), in-{F}(V5,V1), pppp8-{F}(V1,V6,V3,V4), P_singleton-{F}(V7,V6), P_unordered_pair-{F}(V7,V8,V3) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2846: exists( #68, #2842 ), references = 1, size of lhs = 11:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp0-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), P_ordered_pair-{F}(V3,V4,V5), in-{F}(V5,V1), pppp8-{F}(V1,V6,V3,V4), P_singleton-{F}(V7,V6), P_unordered_pair-{F}(V7,V8,V3) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2905: exists( #65, #2899 ), references = 1, size of lhs = 9:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp0-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), P_ordered_pair-{F}(V3,V4,V5), in-{F}(V5,V1), pppp8-{F}(V1,V6,V3,V4) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2906: exists( #65, #2900 ), references = 1, size of lhs = 9:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp0-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), P_ordered_pair-{F}(V3,V4,V5), in-{F}(V5,V1), pppp8-{F}(V1,V6,V3,V4) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2910: mergings( V3 == V7; #2907 ), references = 2, size of lhs = 9:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp0-{F}(V1,V2), in-{F}(V3,V2), pppp9-{F}(V1,V3,V4), in-{F}(V4,V2), P_ordered_pair-{F}(V3,V4,V5), in-{F}(V5,V1) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2912: mergings( V3 == V7; #2908 ), references = 2, size of lhs = 9:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp0-{F}(V1,V2), in-{F}(V3,V2), pppp9-{F}(V1,V3,V4), in-{F}(V4,V2), P_ordered_pair-{F}(V3,V4,V5), in-{F}(V5,V1) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2920: mergings( V3 == V4; #2917 ), references = 2, size of lhs = 6:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp0-{F}(V1,V2), in-{F}(V3,V2), pppp9-{F}(V1,V3,V4) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2958: mergings( V3 == V4, V4 == V5; #2953 ), references = 1, size of lhs = 9:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp0-{F}(V1,V2), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), pppp9-{F}(V1,V5,V6), P_unordered_pair-{F}(V5,V6,V7), P_unordered_pair-{F}(V3,V6,V7) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2961: mergings( V3 == V4, V4 == V5; #2954 ), references = 1, size of lhs = 9:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp0-{F}(V1,V2), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), pppp9-{F}(V1,V5,V6), P_unordered_pair-{F}(V5,V6,V7), P_unordered_pair-{F}(V3,V6,V7) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2963: mergings( V3 == V6; #2955 ), references = 1, size of lhs = 12:
% 141.89/142.07 relation-{F}(V0), P_relation_field-{F}(V0,V1), P_empty_set-{F}(V2), relation-{F}(V3), P_relation_field-{F}(V3,V1), pppp0-{F}(V3,V1), P_singleton-{F}(V4,V5), P_singleton-{F}(V6,V5), pppp9-{F}(V0,V6,V7), P_unordered_pair-{F}(V6,V7,V8), P_unordered_pair-{F}(V4,V9,V8), pppp9-{F}(V3,V6,V10) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2969: mergings( V3 == V4, V4 == V5; #2964 ), references = 1, size of lhs = 6:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp0-{F}(V1,V2), P_singleton-{F}(V3,V4), pppp9-{F}(V1,V3,V5) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2974: mergings( V3 == V5; #2972 ), references = 1, size of lhs = 6:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), pppp10-{F}(V1,V2), P_relation_field-{F}(V1,V3), pppp0-{F}(V1,V3), P_singleton-{F}(V2,V4) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2979: mergings( V2 == V3; #2975 ), references = 1, size of lhs = 5:
% 141.89/142.07 P_empty_set-{F}(V0), relation-{F}(V1), pppp10-{F}(V1,V2), P_relation_field-{F}(V1,V3), pppp0-{F}(V1,V3) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2990: mergings( V2 == V3; #2986 ), references = 1, size of lhs = 4:
% 141.89/142.07 transitive-{F}(V0), relation-{F}(V0), P_empty_set-{F}(V1), pppp10-{F}(V0,V2) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #2995: mergings( V2 == V3; #2991 ), references = 1, size of lhs = 4:
% 141.89/142.07 pppp17-{F}(V0), transitive-{F}(V0), relation-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #3015: mergings( V0 == V2, V2 == V3, V3 == V4, V4 == V5; #3008 ), references = 1, size of lhs = 1:
% 141.89/142.07 P_empty_set-{F}(V0) | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 #3019: exists( #72, #3008 ), references = 1, size of lhs = 0:
% 141.89/142.07 FALSE | FALSE
% 141.89/142.07 (used 0 times, uses = {})
% 141.89/142.07
% 141.89/142.07 number of learnt formulas = 204
% 141.89/142.07
% 141.89/142.07
% 141.89/142.07 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 141.89/142.07
% 141.89/142.07 randbase = 1
%------------------------------------------------------------------------------