TSTP Solution File: SEU242+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU242+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n013.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 13.98s 14.18s
% Output : Refutation 13.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU242+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n013.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 19:08:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 13.98/14.18 GeoParameters:
% 13.98/14.18
% 13.98/14.18 tptp_input = 1
% 13.98/14.18 tptp_output = 0
% 13.98/14.18 nonempty = 1
% 13.98/14.18 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.98/14.18 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 13.98/14.18
% 13.98/14.18
% 13.98/14.18 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.98/14.18 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.98/14.18
% 13.98/14.18 RuleSystem INPUT:
% 13.98/14.18
% 13.98/14.18 Initial Rules:
% 13.98/14.18 #0: input, references = 7, size of lhs = 2:
% 13.98/14.18 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #1: input, references = 3, size of lhs = 1:
% 13.98/14.18 empty-{F}(V0) | function-{T}(V0)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #2: input, references = 3, size of lhs = 3:
% 13.98/14.18 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #3: input, references = 4, size of lhs = 3:
% 13.98/14.18 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #4: input, references = 5, size of lhs = 3:
% 13.98/14.18 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #5: input, references = 5, size of lhs = 3:
% 13.98/14.18 P_relation_field-{F}(V0,V1), relation-{F}(V0), connected-{F}(V0) | is_connected_in-{T}(V0,V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #6: input, references = 4, size of lhs = 3:
% 13.98/14.18 P_relation_field-{F}(V0,V1), relation-{F}(V0), is_connected_in-{F}(V0,V1) | connected-{T}(V0)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #7: input, references = 5, size of lhs = 5:
% 13.98/14.18 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
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #8: input, references = 5, size of lhs = 6:
% 13.98/14.18 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
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #9: input, references = 5, size of lhs = 2:
% 13.98/14.18 relation-{F}(V0), is_connected_in-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #10: input, references = 4, size of lhs = 2:
% 13.98/14.18 relation-{F}(V0), pppp0-{F}(V0,V1) | is_connected_in-{T}(V0,V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #11: input, references = 6, size of lhs = 6:
% 13.98/14.18 pppp0-{F}(V0,V1), in-{F}(V2,V1), P_ordered_pair-{F}(V3,V2,V4), P_ordered_pair-{F}(V2,V3,V5), in-{F}(V3,V1), V3 == V2 | in-{T}(V4,V0), in-{T}(V5,V0)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #12: input, references = 10, size of lhs = 2:
% 13.98/14.18 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp14-{T}(V0,V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #13: input, references = 6, size of lhs = 1:
% 13.98/14.18 pppp14-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #14: input, references = 5, size of lhs = 1:
% 13.98/14.18 pppp3-{F}(V0,V1,V2) | EXISTS V3: pppp2-{T}(V0,V1,V3,V2)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #15: input, references = 6, size of lhs = 1:
% 13.98/14.18 pppp3-{F}(V0,V1,V2) | in-{T}(V2,V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #16: input, references = 7, size of lhs = 4:
% 13.98/14.18 pppp2-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V2,V3,V4), P_ordered_pair-{F}(V3,V2,V5), in-{F}(V5,V0) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #17: input, references = 8, size of lhs = 4:
% 13.98/14.18 pppp2-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V2,V3,V4), P_ordered_pair-{F}(V3,V2,V5), in-{F}(V4,V0) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #18: input, references = 6, size of lhs = 3:
% 13.98/14.18 pppp2-{F}(V0,V1,V3,V3), P_ordered_pair-{F}(V3,V3,V4), P_ordered_pair-{F}(V3,V3,V5) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #19: input, references = 14, size of lhs = 3:
% 13.98/14.18 pppp2-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V2,V3,V4), P_ordered_pair-{F}(V3,V2,V5) | in-{T}(V2,V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #20: input, references = 3, size of lhs = 1:
% 13.98/14.18 #-{F} V0 | EXISTS V1: pppp4-{T}(V0,V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #21: input, references = 3, size of lhs = 1:
% 13.98/14.18 pppp4-{F}(V0,V1) | element-{T}(V1,V0)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #22: input, references = 3, size of lhs = 1:
% 13.98/14.18 P_empty_set-{F}(V0) | empty-{T}(V0)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #23: input, references = 3, size of lhs = 3:
% 13.98/14.18 P_empty_set-{F}(V0), P_ordered_pair-{F}(V1,V2,V3), empty-{F}(V3) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #24: input, references = 3, size of lhs = 3:
% 13.98/14.18 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), empty-{F}(V3) | empty-{T}(V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #25: input, references = 5, size of lhs = 3:
% 13.98/14.18 P_empty_set-{F}(V0), P_set_union2-{F}(V2,V1,V3), empty-{F}(V3) | empty-{T}(V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #26: input, references = 4, size of lhs = 3:
% 13.98/14.18 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #27: input, references = 4, size of lhs = 1:
% 13.98/14.18 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #28: input, references = 4, size of lhs = 1:
% 13.98/14.18 pppp6-{F}(V0) | pppp5-{T}(V0)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #29: input, references = 4, size of lhs = 3:
% 13.98/14.18 pppp5-{F}(V0), pppp1-{F}(V0), connected-{F}(V0) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #30: input, references = 5, size of lhs = 1:
% 13.98/14.18 pppp5-{F}(V0) | connected-{T}(V0), pppp1-{T}(V0)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #31: input, references = 4, size of lhs = 1:
% 13.98/14.18 pppp5-{F}(V0) | relation-{T}(V0)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #32: input, references = 5, size of lhs = 8:
% 13.98/14.18 P_empty_set-{F}(V0), P_relation_field-{F}(V1,V2), pppp1-{F}(V1), in-{F}(V3,V2), P_ordered_pair-{F}(V4,V3,V5), P_ordered_pair-{F}(V3,V4,V6), in-{F}(V4,V2), V4 == V3 | in-{T}(V5,V1), in-{T}(V6,V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #33: input, references = 6, size of lhs = 2:
% 13.98/14.18 P_empty_set-{F}(V0), P_relation_field-{F}(V1,V2) | pppp1-{T}(V1), pppp15-{T}(V1,V2)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #34: input, references = 5, size of lhs = 1:
% 13.98/14.18 pppp15-{F}(V0,V1) | EXISTS V2: pppp8-{T}(V0,V2,V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #35: input, references = 6, size of lhs = 1:
% 13.98/14.18 pppp8-{F}(V0,V1,V2) | EXISTS V3: pppp7-{T}(V0,V3,V1,V2)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #36: input, references = 5, size of lhs = 1:
% 13.98/14.18 pppp8-{F}(V0,V1,V2) | in-{T}(V1,V2)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #37: input, references = 6, size of lhs = 4:
% 13.98/14.18 pppp7-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4), P_ordered_pair-{F}(V2,V1,V5), in-{F}(V5,V0) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #38: input, references = 6, size of lhs = 4:
% 13.98/14.18 pppp7-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4), P_ordered_pair-{F}(V2,V1,V5), in-{F}(V4,V0) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #39: input, references = 4, size of lhs = 3:
% 13.98/14.18 pppp7-{F}(V0,V2,V2,V3), P_ordered_pair-{F}(V2,V2,V4), P_ordered_pair-{F}(V2,V2,V5) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #40: input, references = 10, size of lhs = 3:
% 13.98/14.18 pppp7-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4), P_ordered_pair-{F}(V2,V1,V5) | in-{T}(V1,V3)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #41: input, references = 3, size of lhs = 1:
% 13.98/14.18 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #42: input, references = 3, size of lhs = 1:
% 13.98/14.18 pppp9-{F}(V0) | function-{T}(V0)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #43: input, references = 3, size of lhs = 1:
% 13.98/14.18 pppp9-{F}(V0) | relation-{T}(V0)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #44: input, references = 4, size of lhs = 1:
% 13.98/14.18 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #45: input, references = 5, size of lhs = 1:
% 13.98/14.18 pppp10-{F}(V0) | empty-{T}(V0)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #46: input, references = 4, size of lhs = 1:
% 13.98/14.18 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #47: input, references = 3, size of lhs = 1:
% 13.98/14.18 pppp11-{F}(V0) | function-{T}(V0)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #48: input, references = 5, size of lhs = 1:
% 13.98/14.18 pppp11-{F}(V0) | empty-{T}(V0)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #49: input, references = 3, size of lhs = 1:
% 13.98/14.18 pppp11-{F}(V0) | relation-{T}(V0)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #50: input, references = 3, size of lhs = 1:
% 13.98/14.18 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #51: input, references = 3, size of lhs = 2:
% 13.98/14.18 pppp12-{F}(V0), empty-{F}(V0) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #52: input, references = 3, size of lhs = 1:
% 13.98/14.18 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #53: input, references = 3, size of lhs = 1:
% 13.98/14.18 pppp13-{F}(V0) | one_to_one-{T}(V0)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #54: input, references = 3, size of lhs = 1:
% 13.98/14.18 pppp13-{F}(V0) | function-{T}(V0)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #55: input, references = 3, size of lhs = 1:
% 13.98/14.18 pppp13-{F}(V0) | relation-{T}(V0)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #56: input, references = 4, size of lhs = 3:
% 13.98/14.18 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V0,V2), V2 == V1 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #57: input, references = 3, size of lhs = 2:
% 13.98/14.18 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #58: input, references = 5, size of lhs = 2:
% 13.98/14.18 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #59: input, references = 6, size of lhs = 3:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #60: input, references = 10, size of lhs = 3:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #61: input, references = 6, size of lhs = 4:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #62: input, references = 17, size of lhs = 2:
% 13.98/14.18 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #63: input, references = 6, size of lhs = 2:
% 13.98/14.18 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_union2-{T}(V0,V1,V2)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #64: input, references = 5, size of lhs = 1:
% 13.98/14.18 #-{F} V0 | EXISTS V1: P_relation_field-{T}(V0,V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #65: input, references = 34, size of lhs = 2:
% 13.98/14.18 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #66: input, references = 8, size of lhs = 1:
% 13.98/14.18 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #67: input, references = 4, size of lhs = 1:
% 13.98/14.18 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #68: input, references = 5, size of lhs = 1:
% 13.98/14.18 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #69: input, references = 4, size of lhs = 0:
% 13.98/14.18 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 number of initial rules = 70
% 13.98/14.18
% 13.98/14.18 Simplifiers:
% 13.98/14.18 #70: unsound, references = 3, size of lhs = 3:
% 13.98/14.18 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #71: unsound, references = 3, size of lhs = 3:
% 13.98/14.18 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #72: unsound, references = 3, size of lhs = 3:
% 13.98/14.18 P_relation_field-{F}(V0,V1), P_relation_field-{F}(V0,V3), V1 == V3 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #73: unsound, references = 3, size of lhs = 3:
% 13.98/14.18 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #74: unsound, references = 3, size of lhs = 3:
% 13.98/14.18 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #75: unsound, references = 3, size of lhs = 3:
% 13.98/14.18 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #76: unsound, references = 3, size of lhs = 3:
% 13.98/14.18 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #77: unsound, references = 3, size of lhs = 3:
% 13.98/14.18 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #78: unsound, references = 3, size of lhs = 3:
% 13.98/14.18 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #79: unsound, references = 3, size of lhs = 3:
% 13.98/14.18 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #80: unsound, references = 3, size of lhs = 3:
% 13.98/14.18 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #81: unsound, references = 3, size of lhs = 3:
% 13.98/14.18 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #82: unsound, references = 3, size of lhs = 3:
% 13.98/14.18 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #83: unsound, references = 3, size of lhs = 3:
% 13.98/14.18 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #84: unsound, references = 3, size of lhs = 3:
% 13.98/14.18 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #85: unsound, references = 3, size of lhs = 3:
% 13.98/14.18 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #86: unsound, references = 3, size of lhs = 3:
% 13.98/14.18 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #87: unsound, references = 3, size of lhs = 3:
% 13.98/14.18 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V4,V2), V1 == V4 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #88: unsound, references = 3, size of lhs = 3:
% 13.98/14.18 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V4,V5), V2 == V5 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #89: unsound, references = 3, size of lhs = 3:
% 13.98/14.18 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #90: unsound, references = 3, size of lhs = 3:
% 13.98/14.18 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #91: unsound, references = 3, size of lhs = 3:
% 13.98/14.18 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #92: unsound, references = 3, size of lhs = 3:
% 13.98/14.18 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #93: unsound, references = 3, size of lhs = 3:
% 13.98/14.18 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #94: unsound, references = 3, size of lhs = 3:
% 13.98/14.18 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 number of simplifiers = 25
% 13.98/14.18
% 13.98/14.18 Learnt:
% 13.98/14.18 #96: exists( #63, #26 ), references = 1, size of lhs = 2:
% 13.98/14.18 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V1,V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #102: mergings( V0 == V2; #99 ), references = 1, size of lhs = 1:
% 13.98/14.18 P_empty_set-{F}(V0) | pppp10-{T}(V0)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #104: mergings( V0 == V2; #100 ), references = 1, size of lhs = 2:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1) | pppp10-{T}(V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #106: exists( #62, #7 ), references = 14, size of lhs = 3:
% 13.98/14.18 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)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #109: exists( #63, #56 ), references = 3, size of lhs = 2:
% 13.98/14.18 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V0,V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #110: exists( #63, #8 ), references = 4, size of lhs = 4:
% 13.98/14.18 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)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #118: mergings( V0 == V2; #115 ), references = 1, size of lhs = 1:
% 13.98/14.18 P_empty_set-{F}(V0) | pppp11-{T}(V0)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #120: mergings( V0 == V2; #116 ), references = 1, size of lhs = 2:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1) | pppp11-{T}(V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #124: exists( #63, #4 ), references = 1, size of lhs = 1:
% 13.98/14.18 P_set_union2-{F}(V0,V1,V2) | P_set_union2-{T}(V1,V0,V2)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #134: mergings( V4 == V5; #131 ), references = 2, size of lhs = 5:
% 13.98/14.18 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)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #136: mergings( V4 == V5; #132 ), references = 1, size of lhs = 6:
% 13.98/14.18 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)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #139: exists( #62, #3 ), references = 19, size of lhs = 1:
% 13.98/14.18 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #141: exists( #65, #7 ), references = 22, size of lhs = 3:
% 13.98/14.18 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)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #150: disj( #58, input ), references = 1, size of lhs = 2:
% 13.98/14.18 P_empty_set-{F}(V0), element-{F}(V1,V1) | empty-{T}(V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #161: exists( #68, #159 ), references = 1, size of lhs = 4:
% 13.98/14.18 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)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #174: exists( #13, #172 ), references = 1, size of lhs = 3:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), pppp14-{F}(V2,V1) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #176: disj( #12, exists( #13, #172 ) ), references = 1, size of lhs = 3:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), #-{F} V2 | pppp0-{T}(V2,V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #178: disj( #33, input ), references = 2, size of lhs = 4:
% 13.98/14.18 P_empty_set-{F}(V0), pppp5-{F}(V1), connected-{F}(V1), P_relation_field-{F}(V1,V2) | pppp15-{T}(V1,V2)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #189: disj( #11, input ), references = 3, size of lhs = 6:
% 13.98/14.18 in-{F}(V0,V1), in-{F}(V2,V1), V2 == V0, P_ordered_pair-{F}(V2,V0,V3), pppp0-{F}(V3,V1), P_ordered_pair-{F}(V0,V2,V4) | in-{T}(V4,V3)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #195: disj( #58, input ), references = 1, size of lhs = 3:
% 13.98/14.18 P_empty_set-{F}(V0), pppp12-{F}(V1), element-{F}(V2,V1) | in-{T}(V2,V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #197: mergings( V0 == V3; #193 ), references = 1, size of lhs = 3:
% 13.98/14.18 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #200: mergings( V0 == V3, V2 == V3; #194 ), references = 1, size of lhs = 4:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #228: exists( #65, #226 ), references = 1, size of lhs = 6:
% 13.98/14.18 in-{F}(V0,V1), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), P_unordered_pair-{F}(V3,V1,V4), P_unordered_pair-{F}(V1,V3,V4), pppp2-{F}(V5,V0,V1,V3) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #231: exists( #62, #229 ), references = 1, size of lhs = 4:
% 13.98/14.18 in-{F}(V0,V1), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), pppp2-{F}(V4,V0,V1,V3) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #239: exists( #65, #237 ), references = 2, size of lhs = 3:
% 13.98/14.18 in-{F}(V0,V1), pppp2-{F}(V2,V0,V1,V3), P_ordered_pair-{F}(V3,V1,V4) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #242: exists( #65, #239 ), references = 1, size of lhs = 2:
% 13.98/14.18 in-{F}(V0,V1), pppp2-{F}(V2,V0,V1,V3) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #256: mergings( V0 == V3; #254 ), references = 1, size of lhs = 3:
% 13.98/14.18 P_ordered_pair-{F}(V0,V1,V1), pppp7-{F}(V2,V1,V0,V3), pppp2-{F}(V3,V4,V1,V0) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #290: disj( #11, input ), references = 9, size of lhs = 7:
% 13.98/14.18 pppp0-{F}(V0,V1), in-{F}(V2,V1), in-{F}(V3,V1), V3 == V2, P_ordered_pair-{F}(V3,V2,V4), in-{F}(V0,V4), P_ordered_pair-{F}(V2,V3,V5) | in-{T}(V5,V0)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #346: mergings( V7 == V10; #343 ), references = 1, size of lhs = 10:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V1,V4), P_ordered_pair-{F}(V3,V5,V4), V3 == V5, P_singleton-{F}(V5,V6), P_unordered_pair-{F}(V5,V3,V7), pppp7-{F}(V8,V5,V3,V2) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #349: mergings( V7 == V9, V9 == V11; #344 ), references = 1, size of lhs = 9:
% 13.98/14.18 P_singleton-{F}(V0,V1), P_unordered_pair-{F}(V0,V2,V3), V2 == V0, in-{F}(V2,V4), pppp0-{F}(V5,V4), in-{F}(V5,V6), P_ordered_pair-{F}(V2,V0,V6), pppp7-{F}(V7,V0,V2,V4), pppp7-{F}(V5,V0,V2,V8) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #353: mergings( V6 == V9; #350 ), references = 1, size of lhs = 9:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V1,V4), P_ordered_pair-{F}(V3,V5,V4), V3 == V5, P_unordered_pair-{F}(V5,V3,V6), pppp7-{F}(V7,V5,V3,V2) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #356: mergings( V6 == V8, V8 == V10; #351 ), references = 1, size of lhs = 8:
% 13.98/14.18 in-{F}(V0,V1), pppp0-{F}(V2,V1), in-{F}(V2,V3), P_ordered_pair-{F}(V0,V4,V3), V0 == V4, P_unordered_pair-{F}(V4,V0,V5), pppp7-{F}(V6,V4,V0,V1), pppp7-{F}(V2,V4,V0,V7) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #413: disj( #12, #290+#0 ), references = 1, size of lhs = 6:
% 13.98/14.18 in-{F}(V0,V1), in-{F}(V2,V1), V2 == V0, P_ordered_pair-{F}(V2,V0,V3), P_ordered_pair-{F}(V0,V2,V4), in-{F}(V4,V3) | pppp14-{T}(V4,V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #427: disj( #12, #290+#290+#60 ), references = 1, size of lhs = 14:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V2,V3), in-{F}(V4,V2), in-{F}(V1,V5), P_ordered_pair-{F}(V4,V6,V5), V4 == V6, P_ordered_pair-{F}(V6,V4,V7), in-{F}(V8,V9), in-{F}(V10,V9), V10 == V8, P_ordered_pair-{F}(V10,V8,V3), P_ordered_pair-{F}(V8,V10,V6) | pppp14-{T}(V2,V9)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #428: disj( #12, #290+#290+#38 ), references = 1, size of lhs = 15:
% 13.98/14.18 in-{F}(V0,V1), in-{F}(V2,V1), V2 == V0, P_ordered_pair-{F}(V2,V0,V3), P_ordered_pair-{F}(V0,V2,V4), in-{F}(V5,V3), pppp0-{F}(V6,V5), in-{F}(V7,V5), V7 == V4, P_ordered_pair-{F}(V7,V4,V8), in-{F}(V6,V8), P_ordered_pair-{F}(V4,V7,V9), P_ordered_pair-{F}(V10,V11,V9), pppp7-{F}(V6,V10,V11,V12), P_ordered_pair-{F}(V11,V10,V13) | pppp14-{T}(V5,V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #432: exists( #65, #429 ), references = 2, size of lhs = 8:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), V4 == V3, P_ordered_pair-{F}(V4,V3,V5), in-{F}(V1,V5) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #457: disj( #11, input ), references = 3, size of lhs = 8:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), V4 == V3, P_ordered_pair-{F}(V4,V3,V5), P_ordered_pair-{F}(V3,V4,V6) | in-{T}(V6,V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #458: disj( #11, input ), references = 2, size of lhs = 9:
% 13.98/14.18 pppp0-{F}(V0,V1), in-{F}(V2,V1), in-{F}(V3,V1), V3 == V2, P_ordered_pair-{F}(V3,V2,V4), P_ordered_pair-{F}(V2,V3,V5), P_ordered_pair-{F}(V6,V7,V4), pppp7-{F}(V0,V6,V7,V8), P_ordered_pair-{F}(V7,V6,V9) | in-{T}(V5,V0)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #470: mergings( V7 == V9, V3 == V4; #465 ), references = 1, size of lhs = 7:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V2), pppp7-{F}(V4,V5,V3,V2), V5 == V3, P_ordered_pair-{F}(V3,V5,V6) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #480: mergings( V3 == V4; #477 ), references = 2, size of lhs = 10:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), P_unordered_pair-{F}(V5,V6,V7), P_unordered_pair-{F}(V3,V8,V7), V8 == V3, pppp7-{F}(V9,V8,V3,V2) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #481: exists( #65, #475 ), references = 1, size of lhs = 11:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), P_unordered_pair-{F}(V5,V6,V7), P_unordered_pair-{F}(V3,V8,V7), V8 == V3, pppp7-{F}(V9,V8,V3,V2), pppp7-{F}(V1,V8,V3,V10) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #489: mergings( V3 == V4; #486 ), references = 1, size of lhs = 12:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), P_singleton-{F}(V6,V5), P_ordered_pair-{F}(V6,V7,V8), P_unordered_pair-{F}(V6,V7,V9), P_unordered_pair-{F}(V3,V10,V8), V10 == V3, pppp7-{F}(V11,V10,V3,V2) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #490: exists( #65, #485 ), references = 1, size of lhs = 13:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), P_singleton-{F}(V6,V5), P_ordered_pair-{F}(V6,V7,V8), P_unordered_pair-{F}(V6,V7,V9), P_unordered_pair-{F}(V3,V10,V8), V10 == V3, pppp7-{F}(V11,V10,V3,V2), pppp7-{F}(V1,V10,V3,V12) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #500: mergings( V10 == V11, V7 == V9, V3 == V4; #495 ), references = 1, size of lhs = 9:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V4,V3), P_singleton-{F}(V3,V5), P_unordered_pair-{F}(V4,V6,V7), V7 == V3, pppp7-{F}(V8,V7,V3,V2) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #503: mergings( V9 == V10, V6 == V8; #496 ), references = 1, size of lhs = 10:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V4,V3), P_singleton-{F}(V3,V5), P_unordered_pair-{F}(V4,V6,V7), V7 == V3, pppp7-{F}(V8,V7,V3,V2), pppp7-{F}(V1,V7,V3,V9) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #513: exists( #62, #480 ), references = 2, size of lhs = 7:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), pppp7-{F}(V5,V6,V3,V2), V6 == V3 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #515: exists( #35, #512 ), references = 1, size of lhs = 6:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V2), pppp8-{F}(V4,V3,V2), P_singleton-{F}(V3,V5) | pppp7-{T}(V4,V3,V3,V2)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #532: exists( #66, #513 ), references = 1, size of lhs = 6:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V2), pppp7-{F}(V4,V5,V3,V2), V5 == V3 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #534: exists( #35, #531 ), references = 1, size of lhs = 5:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V2), pppp8-{F}(V4,V3,V2) | pppp7-{T}(V4,V3,V3,V2)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #543: exists( #65, #39 ), references = 2, size of lhs = 1:
% 13.98/14.18 pppp7-{F}(V0,V1,V1,V2) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #547: exists( #34, #545 ), references = 1, size of lhs = 4:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), pppp15-{F}(V3,V2) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #553: mergings( V2 == V3; #551 ), references = 1, size of lhs = 5:
% 13.98/14.18 relation-{F}(V0), empty-{F}(V0), pppp5-{F}(V0), P_relation_field-{F}(V0,V1), P_empty_set-{F}(V2) | pppp1-{T}(V0)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #569: mergings( V0 == V3; #567 ), references = 1, size of lhs = 4:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), P_relation_field-{F}(V3,V2) | pppp1-{T}(V3)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #578: mergings( V2 == V4; #576 ), references = 1, size of lhs = 4:
% 13.98/14.18 empty-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), P_relation_field-{F}(V2,V0) | P_relation_dom-{T}(V2,V0)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #610: mergings( V3 == V4; #607 ), references = 1, size of lhs = 10:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), V5 == V3, in-{F}(V5,V2), P_unordered_pair-{F}(V3,V5,V6), P_unordered_pair-{F}(V5,V3,V6) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #611: exists( #65, #606 ), references = 3, size of lhs = 7:
% 13.98/14.18 P_singleton-{F}(V0,V1), P_singleton-{F}(V2,V1), P_unordered_pair-{F}(V0,V3,V4), P_unordered_pair-{F}(V2,V5,V4), P_ordered_pair-{F}(V5,V2,V6), in-{F}(V6,V7), pppp2-{F}(V7,V8,V5,V2) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #615: mergings( V3 == V4; #613 ), references = 1, size of lhs = 8:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), V5 == V3, in-{F}(V5,V2) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #624: exists( #65, #622 ), references = 2, size of lhs = 9:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V1,V4), P_ordered_pair-{F}(V5,V3,V4), V5 == V3, pppp2-{F}(V6,V2,V5,V7), P_ordered_pair-{F}(V5,V7,V8) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #632: exists( #65, #624 ), references = 1, size of lhs = 8:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V1,V4), P_ordered_pair-{F}(V5,V3,V4), V5 == V3, pppp2-{F}(V6,V2,V5,V7) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #640: mergings( V3 == V4; #638 ), references = 1, size of lhs = 7:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), V4 == V3, P_ordered_pair-{F}(V4,V3,V5) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #643: mergings( V3 == V4; #641 ), references = 2, size of lhs = 6:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), V4 == V3 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #647: mergings( V3 == V4; #645 ), references = 3, size of lhs = 5:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), pppp14-{F}(V3,V2), in-{F}(V4,V2) | pppp3-{T}(V3,V2,V4)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #656: exists( #65, #652 ), references = 1, size of lhs = 7:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V2), pppp2-{F}(V4,V2,V5,V6), V5 == V3, P_ordered_pair-{F}(V6,V5,V7) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #659: exists( #65, #654 ), references = 1, size of lhs = 6:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V2), pppp2-{F}(V4,V2,V5,V6), V5 == V3 | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #662: exists( #14, #657 ), references = 2, size of lhs = 5:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V2), pppp3-{F}(V4,V2,V5) | pppp2-{T}(V4,V2,V3,V5)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #668: mergings( V6 == V7, V2 == V4; #665 ), references = 1, size of lhs = 5:
% 13.98/14.18 P_empty_set-{F}(V0), empty-{F}(V1), pppp14-{F}(V2,V3), in-{F}(V4,V3), P_ordered_pair-{F}(V4,V4,V5) | pppp14-{T}(V1,V3)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #672: disj( #12, #10+#6+#29 ), references = 2, size of lhs = 4:
% 13.98/14.18 relation-{F}(V0), pppp5-{F}(V0), pppp1-{F}(V0), P_relation_field-{F}(V0,V1) | pppp14-{T}(V0,V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #692: disj( #32, input ), references = 3, size of lhs = 8:
% 13.98/14.18 P_empty_set-{F}(V0), pppp1-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), P_ordered_pair-{F}(V4,V3,V1), V4 == V3, in-{F}(V4,V2), P_ordered_pair-{F}(V3,V4,V5) | in-{T}(V5,V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #734: mergings( V4 == V9; #731 ), references = 1, size of lhs = 10:
% 13.98/14.18 P_empty_set-{F}(V0), pppp1-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), in-{F}(V5,V2), V5 == V3, P_ordered_pair-{F}(V5,V3,V1), P_unordered_pair-{F}(V3,V5,V6), pppp2-{F}(V1,V7,V3,V5) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #735: exists( #62, #730 ), references = 1, size of lhs = 14:
% 13.98/14.18 P_empty_set-{F}(V0), pppp1-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), P_ordered_pair-{F}(V5,V3,V1), V5 == V3, in-{F}(V5,V2), P_unordered_pair-{F}(V3,V5,V6), P_singleton-{F}(V5,V7), P_singleton-{F}(V8,V7), P_unordered_pair-{F}(V5,V3,V9), P_unordered_pair-{F}(V8,V10,V9), pppp2-{F}(V1,V11,V3,V5) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #750: exists( #62, #748 ), references = 3, size of lhs = 5:
% 13.98/14.18 P_singleton-{F}(V0,V1), P_unordered_pair-{F}(V0,V2,V3), P_ordered_pair-{F}(V2,V0,V4), in-{F}(V4,V5), pppp2-{F}(V5,V6,V0,V2) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #764: mergings( V7 == V8, V2 == V4; #759 ), references = 1, size of lhs = 8:
% 13.98/14.18 empty-{F}(V0), pppp0-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3), pppp0-{F}(V3,V1), in-{F}(V4,V1), P_ordered_pair-{F}(V4,V4,V5), #-{F} V6 | pppp0-{T}(V6,V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #832: exists( #62, #826 ), references = 1, size of lhs = 7:
% 13.98/14.18 P_singleton-{F}(V0,V1), P_unordered_pair-{F}(V0,V2,V3), P_ordered_pair-{F}(V2,V0,V4), pppp2-{F}(V5,V6,V0,V2), P_ordered_pair-{F}(V7,V8,V0), P_ordered_pair-{F}(V8,V7,V9), pppp2-{F}(V6,V10,V8,V7) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #833: exists( #62, #827 ), references = 1, size of lhs = 7:
% 13.98/14.18 P_singleton-{F}(V0,V1), P_unordered_pair-{F}(V0,V2,V3), P_ordered_pair-{F}(V2,V0,V4), pppp2-{F}(V5,V6,V0,V2), P_ordered_pair-{F}(V7,V8,V0), P_ordered_pair-{F}(V8,V7,V9), pppp2-{F}(V6,V10,V7,V8) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #834: exists( #62, #828 ), references = 1, size of lhs = 8:
% 13.98/14.18 P_singleton-{F}(V0,V1), P_singleton-{F}(V2,V3), P_ordered_pair-{F}(V4,V0,V2), P_unordered_pair-{F}(V0,V4,V5), pppp2-{F}(V6,V7,V0,V4), pppp2-{F}(V8,V6,V2,V9), P_unordered_pair-{F}(V2,V9,V10), P_ordered_pair-{F}(V9,V2,V11) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #838: exists( #66, #829 ), references = 2, size of lhs = 6:
% 13.98/14.18 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V0,V3), pppp2-{F}(V4,V5,V1,V0), pppp2-{F}(V6,V4,V2,V7), P_unordered_pair-{F}(V2,V7,V8), P_ordered_pair-{F}(V7,V2,V9) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #839: exists( #66, #830 ), references = 2, size of lhs = 6:
% 13.98/14.18 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V0,V3), pppp2-{F}(V4,V5,V0,V1), pppp2-{F}(V6,V4,V2,V7), P_unordered_pair-{F}(V2,V7,V8), P_ordered_pair-{F}(V7,V2,V9) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #840: exists( #66, #831 ), references = 2, size of lhs = 7:
% 13.98/14.18 P_singleton-{F}(V0,V1), P_ordered_pair-{F}(V2,V0,V3), P_unordered_pair-{F}(V0,V2,V4), pppp2-{F}(V5,V6,V0,V2), pppp2-{F}(V7,V5,V3,V8), P_unordered_pair-{F}(V3,V8,V9), P_ordered_pair-{F}(V8,V3,V10) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #874: exists( #62, #868 ), references = 1, size of lhs = 8:
% 13.98/14.18 P_singleton-{F}(V0,V1), P_singleton-{F}(V2,V3), P_unordered_pair-{F}(V2,V4,V5), P_unordered_pair-{F}(V4,V2,V6), P_ordered_pair-{F}(V7,V0,V4), P_unordered_pair-{F}(V0,V7,V8), pppp2-{F}(V9,V10,V0,V7), pppp2-{F}(V11,V9,V4,V2) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #875: exists( #62, #869 ), references = 1, size of lhs = 7:
% 13.98/14.18 P_singleton-{F}(V0,V1), P_unordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V2,V0,V4), pppp2-{F}(V5,V6,V2,V0), P_ordered_pair-{F}(V7,V8,V2), P_ordered_pair-{F}(V8,V7,V9), pppp2-{F}(V6,V10,V8,V7) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #876: exists( #62, #870 ), references = 1, size of lhs = 7:
% 13.98/14.18 P_singleton-{F}(V0,V1), P_unordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V2,V0,V4), pppp2-{F}(V5,V6,V2,V0), P_ordered_pair-{F}(V7,V8,V2), P_ordered_pair-{F}(V8,V7,V9), pppp2-{F}(V6,V10,V7,V8) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #883: exists( #62, #877 ), references = 1, size of lhs = 6:
% 13.98/14.18 P_singleton-{F}(V0,V1), P_singleton-{F}(V2,V3), P_ordered_pair-{F}(V4,V0,V5), P_unordered_pair-{F}(V0,V4,V6), pppp2-{F}(V7,V8,V0,V4), pppp2-{F}(V9,V7,V5,V2) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #884: exists( #62, #878 ), references = 1, size of lhs = 5:
% 13.98/14.18 P_singleton-{F}(V0,V1), pppp2-{F}(V2,V3,V4,V0), P_ordered_pair-{F}(V5,V6,V4), P_ordered_pair-{F}(V6,V5,V7), pppp2-{F}(V3,V8,V6,V5) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #885: exists( #62, #879 ), references = 1, size of lhs = 5:
% 13.98/14.18 P_singleton-{F}(V0,V1), pppp2-{F}(V2,V3,V4,V0), P_ordered_pair-{F}(V5,V6,V4), P_ordered_pair-{F}(V6,V5,V7), pppp2-{F}(V3,V8,V5,V6) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #911: disj( #32, input ), references = 3, size of lhs = 11:
% 13.98/14.18 P_empty_set-{F}(V0), pppp1-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), V4 == V3, P_ordered_pair-{F}(V4,V3,V5), P_ordered_pair-{F}(V3,V4,V6), P_ordered_pair-{F}(V7,V8,V5), pppp2-{F}(V1,V9,V8,V7), P_ordered_pair-{F}(V8,V7,V10) | in-{T}(V6,V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #912: disj( #32, input ), references = 1, size of lhs = 11:
% 13.98/14.18 P_empty_set-{F}(V0), pppp1-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), V4 == V3, P_ordered_pair-{F}(V4,V3,V5), P_ordered_pair-{F}(V3,V4,V6), P_ordered_pair-{F}(V7,V8,V5), pppp2-{F}(V1,V9,V7,V8), P_ordered_pair-{F}(V8,V7,V10) | in-{T}(V6,V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #913: disj( #32, exists( #62, #748 ) ), references = 1, size of lhs = 12:
% 13.98/14.18 P_empty_set-{F}(V0), pppp1-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), V4 == V3, P_ordered_pair-{F}(V4,V3,V5), P_ordered_pair-{F}(V3,V4,V6), P_singleton-{F}(V7,V8), P_ordered_pair-{F}(V9,V7,V5), P_unordered_pair-{F}(V7,V9,V10), pppp2-{F}(V1,V11,V7,V9) | in-{T}(V6,V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #926: exists( #65, #920 ), references = 1, size of lhs = 12:
% 13.98/14.18 P_empty_set-{F}(V0), pppp1-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), V5 == V3, in-{F}(V5,V2), P_unordered_pair-{F}(V3,V5,V6), P_unordered_pair-{F}(V5,V3,V6), pppp2-{F}(V1,V7,V3,V5), pppp2-{F}(V1,V8,V3,V5) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #927: exists( #65, #921 ), references = 1, size of lhs = 12:
% 13.98/14.18 P_empty_set-{F}(V0), pppp1-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), V5 == V3, in-{F}(V5,V2), P_unordered_pair-{F}(V3,V5,V6), P_unordered_pair-{F}(V5,V3,V6), pppp2-{F}(V1,V7,V3,V5), pppp2-{F}(V1,V8,V3,V5) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #930: mergings( V7 == V10, V6 == V9; #925 ), references = 1, size of lhs = 12:
% 13.98/14.18 P_empty_set-{F}(V0), pppp1-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), V5 == V3, in-{F}(V5,V2), P_unordered_pair-{F}(V5,V3,V6), P_unordered_pair-{F}(V3,V5,V6), pppp2-{F}(V1,V7,V3,V5), pppp2-{F}(V1,V8,V3,V5) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #937: exists( #62, #931 ), references = 1, size of lhs = 10:
% 13.98/14.18 P_empty_set-{F}(V0), pppp1-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), V5 == V3, in-{F}(V5,V2), pppp2-{F}(V1,V6,V3,V5), pppp2-{F}(V1,V7,V3,V5) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #938: exists( #62, #932 ), references = 1, size of lhs = 10:
% 13.98/14.18 P_empty_set-{F}(V0), pppp1-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), V5 == V3, in-{F}(V5,V2), pppp2-{F}(V1,V6,V3,V5), pppp2-{F}(V1,V7,V3,V5) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #940: mergings( V6 == V7; #936 ), references = 1, size of lhs = 10:
% 13.98/14.18 P_empty_set-{F}(V0), pppp1-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), V5 == V3, in-{F}(V5,V2), pppp2-{F}(V1,V6,V3,V5), pppp2-{F}(V1,V7,V3,V5) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #957: mergings( V6 == V9; #954 ), references = 2, size of lhs = 9:
% 13.98/14.18 P_empty_set-{F}(V0), pppp1-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), V4 == V3, pppp2-{F}(V1,V5,V3,V4), pppp2-{F}(V1,V6,V3,V4), P_ordered_pair-{F}(V4,V3,V7) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #958: exists( #65, #953 ), references = 2, size of lhs = 13:
% 13.98/14.18 P_empty_set-{F}(V0), pppp1-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), V4 == V3, P_singleton-{F}(V4,V5), P_singleton-{F}(V6,V5), P_unordered_pair-{F}(V4,V3,V7), P_unordered_pair-{F}(V6,V8,V7), pppp2-{F}(V1,V9,V3,V4), P_ordered_pair-{F}(V4,V3,V10), pppp2-{F}(V1,V11,V3,V4) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #961: exists( #65, #954 ), references = 2, size of lhs = 8:
% 13.98/14.18 P_empty_set-{F}(V0), pppp1-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V2), V4 == V3, pppp2-{F}(V1,V5,V3,V4), pppp2-{F}(V1,V6,V3,V4) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #986: exists( #65, #980 ), references = 2, size of lhs = 9:
% 13.98/14.18 P_empty_set-{F}(V0), pppp1-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), pppp2-{F}(V1,V4,V5,V3), V3 == V5, pppp2-{F}(V1,V6,V5,V3), pppp2-{F}(V7,V2,V5,V8), P_ordered_pair-{F}(V8,V5,V9) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #987: exists( #65, #981 ), references = 2, size of lhs = 10:
% 13.98/14.18 P_empty_set-{F}(V0), pppp1-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), pppp2-{F}(V1,V4,V5,V3), V3 == V5, pppp2-{F}(V1,V6,V5,V3), P_ordered_pair-{F}(V3,V5,V7), pppp2-{F}(V8,V2,V5,V9), P_ordered_pair-{F}(V9,V5,V10) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #988: exists( #65, #982 ), references = 1, size of lhs = 14:
% 13.98/14.18 P_empty_set-{F}(V0), pppp1-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), P_unordered_pair-{F}(V3,V6,V7), V3 == V6, P_unordered_pair-{F}(V5,V8,V7), pppp2-{F}(V1,V9,V6,V3), P_ordered_pair-{F}(V3,V6,V10), pppp2-{F}(V1,V11,V6,V3), pppp2-{F}(V12,V2,V6,V13), P_ordered_pair-{F}(V13,V6,V14) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #995: exists( #65, #986 ), references = 1, size of lhs = 8:
% 13.98/14.18 P_empty_set-{F}(V0), pppp1-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), pppp2-{F}(V1,V4,V5,V3), V3 == V5, pppp2-{F}(V1,V6,V5,V3), pppp2-{F}(V7,V2,V5,V8) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #996: exists( #65, #987 ), references = 1, size of lhs = 8:
% 13.98/14.18 P_empty_set-{F}(V0), pppp1-{F}(V1), P_relation_field-{F}(V1,V2), in-{F}(V3,V2), pppp2-{F}(V1,V4,V5,V3), V3 == V5, pppp2-{F}(V1,V6,V5,V3), pppp2-{F}(V7,V2,V5,V3) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #999: exists( #14, #992 ), references = 2, size of lhs = 5:
% 13.98/14.18 P_empty_set-{F}(V0), pppp1-{F}(V1), P_relation_field-{F}(V1,V2), pppp3-{F}(V1,V2,V3), in-{F}(V3,V2) | pppp2-{T}(V1,V2,V3,V3)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #1048: exists( #65, #1046 ), references = 1, size of lhs = 5:
% 13.98/14.18 P_singleton-{F}(V0,V1), P_singleton-{F}(V2,V1), P_unordered_pair-{F}(V2,V2,V3), P_unordered_pair-{F}(V0,V4,V3), pppp2-{F}(V5,V6,V2,V2) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #1050: exists( #62, #1047 ), references = 1, size of lhs = 2:
% 13.98/14.18 P_singleton-{F}(V0,V1), pppp2-{F}(V2,V3,V0,V0) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #1052: exists( #66, #1049 ), references = 1, size of lhs = 1:
% 13.98/14.18 pppp2-{F}(V0,V1,V2,V2) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #1056: exists( #13, #1054 ), references = 1, size of lhs = 4:
% 13.98/14.18 P_empty_set-{F}(V0), pppp1-{F}(V1), pppp14-{F}(V1,V2), P_relation_field-{F}(V1,V2) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #1059: exists( #64, #1057 ), references = 1, size of lhs = 4:
% 13.98/14.18 relation-{F}(V0), pppp5-{F}(V0), pppp1-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #1061: disj( #30, exists( #64, #1057 ) ), references = 1, size of lhs = 3:
% 13.98/14.18 relation-{F}(V0), pppp5-{F}(V0), P_empty_set-{F}(V1) | connected-{T}(V0)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #1092: mergings( V2 == V4, V0 == V3; #1089 ), references = 1, size of lhs = 3:
% 13.98/14.18 P_empty_set-{F}(V0), pppp14-{F}(V1,V2), P_relation_field-{F}(V1,V2) | pppp15-{T}(V1,V2)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #1107: mergings( V6 == V8, V8 == V10; #1104 ), references = 1, size of lhs = 8:
% 13.98/14.18 P_singleton-{F}(V0,V1), P_unordered_pair-{F}(V0,V2,V3), V2 == V0, in-{F}(V2,V4), pppp7-{F}(V5,V0,V2,V4), P_ordered_pair-{F}(V2,V0,V6), pppp0-{F}(V6,V4), pppp7-{F}(V6,V0,V2,V7) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #1111: mergings( V5 == V7, V7 == V9; #1108 ), references = 1, size of lhs = 7:
% 13.98/14.18 in-{F}(V0,V1), pppp0-{F}(V2,V1), P_ordered_pair-{F}(V0,V3,V2), V0 == V3, P_unordered_pair-{F}(V3,V0,V4), pppp7-{F}(V5,V3,V0,V1), pppp7-{F}(V2,V3,V0,V6) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #1130: disj( #12, #189+#0 ), references = 1, size of lhs = 5:
% 13.98/14.18 in-{F}(V0,V1), in-{F}(V2,V1), V2 == V0, P_ordered_pair-{F}(V2,V0,V3), P_ordered_pair-{F}(V0,V2,V3) | pppp14-{T}(V3,V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #1149: exists( #65, #37 ), references = 1, size of lhs = 3:
% 13.98/14.18 in-{F}(V0,V1), P_ordered_pair-{F}(V2,V3,V0), pppp7-{F}(V1,V3,V2,V4) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #1164: mergings( V7 == V5, V6 == V8; #1161 ), references = 1, size of lhs = 6:
% 13.98/14.18 pppp0-{F}(V0,V1), in-{F}(V2,V1), in-{F}(V3,V1), V3 == V2, P_ordered_pair-{F}(V2,V3,V4), pppp7-{F}(V0,V3,V2,V5) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #1168: mergings( V5 == V6; #1165 ), references = 3, size of lhs = 5:
% 13.98/14.18 pppp0-{F}(V0,V1), in-{F}(V2,V1), in-{F}(V3,V1), V3 == V2, pppp7-{F}(V0,V3,V2,V4) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #1177: exists( #65, #1175 ), references = 2, size of lhs = 6:
% 13.98/14.18 pppp0-{F}(V0,V1), in-{F}(V2,V1), pppp7-{F}(V0,V3,V2,V4), V3 == V2, pppp2-{F}(V5,V1,V3,V6), P_ordered_pair-{F}(V6,V3,V7) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #1181: exists( #65, #1177 ), references = 1, size of lhs = 5:
% 13.98/14.18 pppp0-{F}(V0,V1), in-{F}(V2,V1), pppp7-{F}(V0,V3,V2,V4), V3 == V2, pppp2-{F}(V5,V1,V3,V6) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #1203: exists( #65, #1199 ), references = 1, size of lhs = 6:
% 13.98/14.18 pppp0-{F}(V0,V1), in-{F}(V2,V1), pppp7-{F}(V0,V3,V2,V4), V3 == V2, pppp7-{F}(V5,V3,V6,V1), P_ordered_pair-{F}(V6,V3,V7) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #1206: exists( #65, #1201 ), references = 1, size of lhs = 5:
% 13.98/14.18 pppp0-{F}(V0,V1), in-{F}(V2,V1), pppp7-{F}(V0,V3,V2,V4), V3 == V2, pppp7-{F}(V5,V3,V6,V1) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #1209: exists( #35, #1204 ), references = 2, size of lhs = 3:
% 13.98/14.18 pppp0-{F}(V0,V1), pppp8-{F}(V0,V2,V1), in-{F}(V2,V1) | pppp7-{T}(V0,V2,V2,V1)
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #1214: exists( #34, #1212 ), references = 1, size of lhs = 2:
% 13.98/14.18 pppp15-{F}(V0,V1), pppp0-{F}(V0,V1) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #1219: exists( #64, #1217 ), references = 1, size of lhs = 4:
% 13.98/14.18 P_empty_set-{F}(V0), pppp5-{F}(V1), connected-{F}(V1), relation-{F}(V1) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #1226: mergings( V0 == V2, V2 == V3; #1223 ), references = 1, size of lhs = 1:
% 13.98/14.18 P_empty_set-{F}(V0) | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 #1228: exists( #69, #1223 ), references = 1, size of lhs = 0:
% 13.98/14.18 FALSE | FALSE
% 13.98/14.18 (used 0 times, uses = {})
% 13.98/14.18
% 13.98/14.18 number of learnt formulas = 124
% 13.98/14.18
% 13.98/14.18
% 13.98/14.18 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.98/14.18
% 13.98/14.18 randbase = 1
%------------------------------------------------------------------------------