TSTP Solution File: SET679+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET679+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n015.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 06:16:35 EDT 2022
% Result : Theorem 1.34s 1.52s
% Output : Refutation 1.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET679+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n015.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 : Sat Jul 23 02:27:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.34/1.52 GeoParameters:
% 1.34/1.52
% 1.34/1.52 tptp_input = 1
% 1.34/1.52 tptp_output = 0
% 1.34/1.52 nonempty = 1
% 1.34/1.52 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.34/1.52 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.34/1.52
% 1.34/1.52
% 1.34/1.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.34/1.52 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.34/1.52
% 1.34/1.52 RuleSystem INPUT:
% 1.34/1.52
% 1.34/1.52 Initial Rules:
% 1.34/1.52 #0: input, references = 8, size of lhs = 6:
% 1.34/1.52 P_set_type-{F}(V0), P_identity_relation_of-{F}(V1,V2), ilf_type-{F}(V1,V0), P_ordered_pair-{F}(V3,V3,V4), ilf_type-{F}(V3,V0), member-{F}(V3,V1) | member-{T}(V4,V2)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #1: input, references = 6, size of lhs = 6:
% 1.34/1.52 P_set_type-{F}(V0), P_identity_relation_of-{F}(V1,V2), ilf_type-{F}(V1,V0), P_ordered_pair-{F}(V3,V3,V4), ilf_type-{F}(V3,V0), member-{F}(V4,V2) | member-{T}(V3,V1)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #2: input, references = 8, size of lhs = 4:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), ilf_type-{F}(V2,V0), member-{F}(V2,V1) | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #3: input, references = 4, size of lhs = 2:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1) | empty-{T}(V1)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #4: input, references = 3, size of lhs = 2:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1) | type-{T}(V1,V0)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #5: input, references = 6, size of lhs = 8:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_identity_relation_of-{F}(V2,V3), ilf_type-{F}(V2,V0), ilf_type-{F}(V4,V0), P_ordered_pair-{F}(V4,V5,V6), ilf_type-{F}(V5,V0), member-{F}(V6,V3) | pppp0-{T}(V2,V4,V5)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #6: input, references = 3, size of lhs = 8:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_identity_relation_of-{F}(V2,V3), ilf_type-{F}(V2,V0), ilf_type-{F}(V4,V0), P_ordered_pair-{F}(V4,V5,V6), ilf_type-{F}(V5,V0), pppp0-{F}(V2,V4,V5) | member-{T}(V6,V3)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #7: input, references = 3, size of lhs = 3:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), pppp0-{F}(V2,V3,V4) | member-{T}(V3,V2)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #8: input, references = 6, size of lhs = 4:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), pppp0-{F}(V2,V3,V4), V3 == V4 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #9: input, references = 3, size of lhs = 3:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), member-{F}(V4,V2) | pppp0-{T}(V2,V4,V4)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #10: input, references = 3, size of lhs = 5:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), P_identity_relation_of-{F}(V3,V4), ilf_type-{F}(V3,V0) | ilf_type-{T}(V4,V2)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #11: input, references = 3, size of lhs = 4:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), ilf_type-{F}(V4,V0) | pppp1-{T}(V4,V4)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #12: input, references = 3, size of lhs = 7:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), pppp1-{F}(V3,V4), V3 == V4 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #13: input, references = 3, size of lhs = 6:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), pppp1-{F}(V3,V4), ilf_type-{F}(V5,V0), member-{F}(V5,V3) | member-{T}(V5,V4)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #14: input, references = 3, size of lhs = 6:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), pppp1-{F}(V3,V4), ilf_type-{F}(V5,V0), member-{F}(V5,V4) | member-{T}(V5,V3)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #15: input, references = 4, size of lhs = 5:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), #-{F} V3, #-{F} V4 | pppp1-{T}(V3,V4), pppp17-{T}(V3,V4,V0)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #16: input, references = 5, size of lhs = 1:
% 1.34/1.52 pppp17-{F}(V0,V1,V2) | EXISTS V3: pppp7-{T}(V0,V1,V2,V3)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #17: input, references = 6, size of lhs = 1:
% 1.34/1.52 pppp7-{F}(V0,V1,V2,V3) | pppp6-{T}(V0,V1,V3,V2)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #18: input, references = 5, size of lhs = 3:
% 1.34/1.52 pppp6-{F}(V0,V1,V2,V3), member-{F}(V2,V1), member-{F}(V2,V0) | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #19: input, references = 4, size of lhs = 1:
% 1.34/1.52 pppp6-{F}(V0,V1,V2,V3) | member-{T}(V2,V0), member-{T}(V2,V1)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #20: input, references = 3, size of lhs = 1:
% 1.34/1.52 pppp6-{F}(V0,V1,V2,V3) | ilf_type-{T}(V2,V3)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #21: input, references = 3, size of lhs = 5:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), ilf_type-{F}(V4,V0), not_equal-{F}(V4,V4) | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #22: input, references = 4, size of lhs = 6:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), V3 == V4 | not_equal-{T}(V3,V4)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #23: input, references = 5, size of lhs = 5:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), ilf_type-{F}(V3,V0), empty-{F}(V3) | pppp2-{T}(V3)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #24: input, references = 4, size of lhs = 5:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), ilf_type-{F}(V3,V0), pppp2-{F}(V3) | empty-{T}(V3)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #25: input, references = 10, size of lhs = 6:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), pppp2-{F}(V3), ilf_type-{F}(V4,V0), member-{F}(V4,V3) | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #26: input, references = 5, size of lhs = 4:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), #-{F} V3 | pppp2-{T}(V3), pppp18-{T}(V3,V0)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #27: input, references = 3, size of lhs = 1:
% 1.34/1.52 pppp18-{F}(V0,V1) | EXISTS V2: pppp8-{T}(V0,V2,V1)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #28: input, references = 3, size of lhs = 1:
% 1.34/1.52 pppp8-{F}(V0,V1,V2) | member-{T}(V1,V0)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #29: input, references = 3, size of lhs = 1:
% 1.34/1.52 pppp8-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #30: input, references = 3, size of lhs = 6:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), ilf_type-{F}(V3,V0), P_ordered_pair-{F}(V3,V4,V5), ilf_type-{F}(V4,V0) | ilf_type-{T}(V5,V0)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #31: input, references = 3, size of lhs = 5:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), ilf_type-{F}(V3,V0), ilf_type-{F}(V3,V2) | pppp3-{T}(V3)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #32: input, references = 3, size of lhs = 5:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), ilf_type-{F}(V3,V0), pppp3-{F}(V3) | ilf_type-{T}(V3,V2)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #33: input, references = 3, size of lhs = 4:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), pppp3-{F}(V3) | relation_like-{T}(V3)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #34: input, references = 3, size of lhs = 4:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), pppp3-{F}(V3) | ilf_type-{T}(V3,V0)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #35: input, references = 3, size of lhs = 5:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), relation_like-{F}(V3), ilf_type-{F}(V3,V0) | pppp3-{T}(V3)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #36: input, references = 3, size of lhs = 3:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2) | EXISTS V3: pppp9-{T}(V2,V3)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #37: input, references = 3, size of lhs = 1:
% 1.34/1.52 pppp9-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #38: input, references = 3, size of lhs = 5:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), ilf_type-{F}(V3,V0), relation_like-{F}(V3) | pppp4-{T}(V3)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #39: input, references = 3, size of lhs = 5:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), ilf_type-{F}(V3,V0), pppp4-{F}(V3) | relation_like-{T}(V3)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #40: input, references = 3, size of lhs = 6:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), pppp4-{F}(V3), ilf_type-{F}(V4,V0), member-{F}(V4,V3) | EXISTS V5: pppp11-{T}(V4,V5,V0)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #41: input, references = 3, size of lhs = 4:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), #-{F} V3 | pppp4-{T}(V3), pppp19-{T}(V3,V0)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #42: input, references = 3, size of lhs = 1:
% 1.34/1.52 pppp19-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V0,V2,V1)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #43: input, references = 3, size of lhs = 4:
% 1.34/1.52 pppp12-{F}(V0,V5,V2), ilf_type-{F}(V3,V2), P_ordered_pair-{F}(V3,V4,V5), ilf_type-{F}(V4,V2) | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #44: input, references = 3, size of lhs = 1:
% 1.34/1.52 pppp12-{F}(V0,V1,V2) | member-{T}(V1,V0)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #45: input, references = 3, size of lhs = 1:
% 1.34/1.52 pppp12-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #46: input, references = 3, size of lhs = 1:
% 1.34/1.52 pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V0,V1,V3,V2)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #47: input, references = 3, size of lhs = 1:
% 1.34/1.52 pppp11-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #48: input, references = 3, size of lhs = 3:
% 1.34/1.52 pppp10-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4), V0 == V4 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #49: input, references = 3, size of lhs = 2:
% 1.34/1.52 pppp10-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4) | ilf_type-{T}(V2,V3)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #50: input, references = 3, size of lhs = 5:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), empty-{F}(V3), ilf_type-{F}(V3,V0) | relation_like-{T}(V3)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #51: input, references = 3, size of lhs = 8:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), ilf_type-{F}(V3,V0), P_cross_product-{F}(V3,V4,V5), P_subset_type-{F}(V5,V6), ilf_type-{F}(V4,V0), ilf_type-{F}(V7,V6) | relation_like-{T}(V7)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #52: input, references = 3, size of lhs = 6:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), ilf_type-{F}(V3,V0), P_cross_product-{F}(V3,V4,V5), ilf_type-{F}(V4,V0) | ilf_type-{T}(V5,V0)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #53: input, references = 3, size of lhs = 9:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), P_subset_type-{F}(V3,V4), P_power_set-{F}(V3,V5), P_member_type-{F}(V5,V6), ilf_type-{F}(V3,V0), ilf_type-{F}(V7,V0), ilf_type-{F}(V7,V4) | ilf_type-{T}(V7,V6)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #54: input, references = 3, size of lhs = 9:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), P_subset_type-{F}(V3,V4), P_power_set-{F}(V3,V5), P_member_type-{F}(V5,V6), ilf_type-{F}(V3,V0), ilf_type-{F}(V7,V0), ilf_type-{F}(V7,V6) | ilf_type-{T}(V7,V4)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #55: input, references = 3, size of lhs = 5:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), P_subset_type-{F}(V3,V4), ilf_type-{F}(V3,V0) | EXISTS V5: pppp13-{T}(V4,V5)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #56: input, references = 3, size of lhs = 1:
% 1.34/1.52 pppp13-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #57: input, references = 9, size of lhs = 7:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), ilf_type-{F}(V3,V0), P_power_set-{F}(V4,V5), ilf_type-{F}(V4,V0), member-{F}(V3,V5) | pppp5-{T}(V3,V4)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #58: input, references = 12, size of lhs = 7:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), ilf_type-{F}(V3,V0), P_power_set-{F}(V4,V5), ilf_type-{F}(V4,V0), pppp5-{F}(V3,V4) | member-{T}(V3,V5)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #59: input, references = 12, size of lhs = 6:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), pppp5-{F}(V3,V4), ilf_type-{F}(V5,V0), member-{F}(V5,V3) | member-{T}(V5,V4)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #60: input, references = 9, size of lhs = 5:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), #-{F} V3, #-{F} V4 | pppp5-{T}(V3,V4), pppp20-{T}(V3,V4,V0)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #61: input, references = 3, size of lhs = 1:
% 1.34/1.52 pppp20-{F}(V0,V1,V2) | EXISTS V3: pppp14-{T}(V0,V1,V3,V2)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #62: input, references = 3, size of lhs = 2:
% 1.34/1.52 pppp14-{F}(V0,V1,V2,V3), member-{F}(V2,V1) | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #63: input, references = 3, size of lhs = 1:
% 1.34/1.52 pppp14-{F}(V0,V1,V2,V3) | member-{T}(V2,V0)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #64: input, references = 3, size of lhs = 1:
% 1.34/1.52 pppp14-{F}(V0,V1,V2,V3) | ilf_type-{T}(V2,V3)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #65: input, references = 3, size of lhs = 6:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), P_power_set-{F}(V3,V4), ilf_type-{F}(V3,V0), empty-{F}(V4) | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #66: input, references = 3, size of lhs = 5:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), P_power_set-{F}(V3,V4), ilf_type-{F}(V3,V0) | ilf_type-{T}(V4,V0)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #67: input, references = 4, size of lhs = 7:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), ilf_type-{F}(V3,V0), P_member_type-{F}(V4,V5), ilf_type-{F}(V4,V0), ilf_type-{F}(V3,V5) | empty-{T}(V4), member-{T}(V3,V4)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #68: input, references = 3, size of lhs = 7:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), ilf_type-{F}(V3,V0), P_member_type-{F}(V4,V5), ilf_type-{F}(V4,V0), member-{F}(V3,V4) | empty-{T}(V4), ilf_type-{T}(V3,V5)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #69: input, references = 5, size of lhs = 5:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), P_member_type-{F}(V3,V4), ilf_type-{F}(V3,V0) | empty-{T}(V3), pppp21-{T}(V4)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #70: input, references = 3, size of lhs = 1:
% 1.34/1.52 pppp21-{F}(V0) | EXISTS V1: pppp15-{T}(V0,V1)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #71: input, references = 3, size of lhs = 1:
% 1.34/1.52 pppp15-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #72: input, references = 12, size of lhs = 4:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), #-{F} V3 | ilf_type-{T}(V3,V0)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #73: input, references = 4, size of lhs = 3:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2) | EXISTS V3: pppp16-{T}(V3,V0,V1)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #74: input, references = 4, size of lhs = 3:
% 1.34/1.52 pppp16-{F}(V0,V1,V2), P_identity_relation_of-{F}(V0,V3), not_equal-{F}(V3,V2) | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #75: input, references = 3, size of lhs = 2:
% 1.34/1.52 pppp16-{F}(V0,V1,V2), P_identity_relation_of-{F}(V0,V3) | ilf_type-{T}(V0,V1)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #76: input, references = 5, size of lhs = 3:
% 1.34/1.52 pppp16-{F}(V0,V1,V2), P_identity_relation_of-{F}(V0,V3), empty-{F}(V0) | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #77: input, references = 4, size of lhs = 0:
% 1.34/1.52 FALSE | EXISTS V0: P_set_type-{T}(V0)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #78: input, references = 5, size of lhs = 2:
% 1.34/1.52 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #79: input, references = 4, size of lhs = 1:
% 1.34/1.52 #-{F} V0 | EXISTS V1: P_identity_relation_of-{T}(V0,V1)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #80: input, references = 4, size of lhs = 0:
% 1.34/1.52 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #81: input, references = 4, size of lhs = 0:
% 1.34/1.52 FALSE | EXISTS V0: P_binary_relation_type-{T}(V0)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #82: input, references = 3, size of lhs = 1:
% 1.34/1.52 #-{F} V0 | EXISTS V1: P_subset_type-{T}(V0,V1)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #83: input, references = 3, size of lhs = 2:
% 1.34/1.52 #-{F} V0, #-{F} V1 | EXISTS V2: P_cross_product-{T}(V0,V1,V2)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #84: input, references = 3, size of lhs = 1:
% 1.34/1.52 #-{F} V0 | EXISTS V1: P_member_type-{T}(V0,V1)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #85: input, references = 3, size of lhs = 1:
% 1.34/1.52 #-{F} V0 | EXISTS V1: P_power_set-{T}(V0,V1)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 number of initial rules = 86
% 1.34/1.52
% 1.34/1.52 Simplifiers:
% 1.34/1.52 #86: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 type-{F}(V0,V1), type-{F}(V2,V3), V1 == V3 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #87: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 type-{F}(V0,V1), type-{F}(V2,V3), V0 == V2 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #88: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 P_set_type-{F}(V0), P_set_type-{F}(V1), V0 == V1 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #89: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #90: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 P_identity_relation_of-{F}(V0,V1), P_identity_relation_of-{F}(V0,V3), V1 == V3 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #91: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #92: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 P_binary_relation_type-{F}(V0), P_binary_relation_type-{F}(V1), V0 == V1 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #93: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 P_subset_type-{F}(V0,V1), P_subset_type-{F}(V0,V3), V1 == V3 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #94: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 P_cross_product-{F}(V0,V1,V2), P_cross_product-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #95: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 P_member_type-{F}(V0,V1), P_member_type-{F}(V0,V3), V1 == V3 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #96: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 P_power_set-{F}(V0,V1), P_power_set-{F}(V0,V3), V1 == V3 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #97: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #98: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #99: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #100: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #101: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V4,V2), V1 == V4 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #102: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 pppp8-{F}(V0,V1,V2), pppp8-{F}(V3,V4,V5), V2 == V5 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #103: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #104: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 pppp9-{F}(V0,V1), pppp9-{F}(V2,V3), V0 == V2 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #105: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #106: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V5,V6,V3), V1 == V5 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #107: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #108: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V4,V2), V1 == V4 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #109: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 pppp11-{F}(V0,V1,V2), pppp11-{F}(V3,V4,V5), V2 == V5 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #110: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 pppp12-{F}(V0,V1,V2), pppp12-{F}(V0,V4,V2), V1 == V4 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #111: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V4,V5), V2 == V5 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #112: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 pppp13-{F}(V0,V1), pppp13-{F}(V0,V3), V1 == V3 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #113: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #114: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #115: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #116: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 pppp16-{F}(V0,V1,V2), pppp16-{F}(V3,V1,V2), V0 == V3 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #117: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 pppp16-{F}(V0,V1,V2), pppp16-{F}(V3,V4,V5), V1 == V4 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #118: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 pppp16-{F}(V0,V1,V2), pppp16-{F}(V3,V4,V5), V2 == V5 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #119: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 pppp17-{F}(V0,V1,V2), pppp17-{F}(V3,V4,V5), V2 == V5 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #120: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 pppp18-{F}(V0,V1), pppp18-{F}(V2,V3), V1 == V3 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #121: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 pppp19-{F}(V0,V1), pppp19-{F}(V2,V3), V1 == V3 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #122: unsound, references = 3, size of lhs = 3:
% 1.34/1.52 pppp20-{F}(V0,V1,V2), pppp20-{F}(V3,V4,V5), V2 == V5 | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 number of simplifiers = 37
% 1.34/1.52
% 1.34/1.52 Learnt:
% 1.34/1.52 #135: mergings( V0 == V5, V5 == V8, V8 == V11, V1 == V6, V6 == V12, V2 == V7; #127 ), references = 1, size of lhs = 10:
% 1.34/1.52 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_power_set-{F}(V2,V3), ilf_type-{F}(V4,V1), P_ordered_pair-{F}(V4,V4,V5), ilf_type-{F}(V5,V1), P_empty_set-{F}(V6), P_identity_relation_of-{F}(V6,V3), ilf_type-{F}(V6,V1) | pppp20-{T}(V5,V2,V1)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #143: mergings( V0 == V5, V5 == V8, V8 == V11, V1 == V6, V6 == V12, V2 == V7, V7 == V13; #128 ), references = 1, size of lhs = 11:
% 1.34/1.52 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V1,V2), ilf_type-{F}(V3,V0), P_ordered_pair-{F}(V3,V3,V4), ilf_type-{F}(V4,V0), P_empty_set-{F}(V5), P_binary_relation_type-{F}(V6), pppp2-{F}(V7), P_identity_relation_of-{F}(V7,V2), ilf_type-{F}(V7,V0) | pppp20-{T}(V4,V1,V0)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #148: mergings( V0 == V5, V1 == V6, V2 == V7; #144 ), references = 2, size of lhs = 6:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), V3 == V4 | pppp17-{T}(V3,V4,V0)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #154: mergings( V0 == V4, V1 == V5, V2 == V6; #150 ), references = 1, size of lhs = 6:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), ilf_type-{F}(V3,V0), P_identity_relation_of-{F}(V3,V4), pppp16-{F}(V3,V5,V6) | pppp18-{T}(V3,V0)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #167: mergings( V0 == V5, V5 == V9, V9 == V12, V1 == V6, V6 == V11, V2 == V7; #159 ), references = 1, size of lhs = 10:
% 1.34/1.52 P_binary_relation_type-{F}(V0), P_empty_set-{F}(V1), P_set_type-{F}(V2), ilf_type-{F}(V3,V2), P_power_set-{F}(V3,V4), ilf_type-{F}(V4,V2), P_identity_relation_of-{F}(V4,V1), ilf_type-{F}(V5,V2), P_ordered_pair-{F}(V5,V5,V6), ilf_type-{F}(V6,V2) | pppp20-{T}(V5,V3,V2)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #175: mergings( V0 == V5, V5 == V9, V9 == V12, V1 == V6, V6 == V13, V2 == V7, V7 == V14; #160 ), references = 1, size of lhs = 11:
% 1.34/1.52 pppp2-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_power_set-{F}(V2,V3), ilf_type-{F}(V3,V1), P_identity_relation_of-{F}(V3,V0), ilf_type-{F}(V4,V1), P_ordered_pair-{F}(V4,V4,V5), ilf_type-{F}(V5,V1), P_empty_set-{F}(V6), P_binary_relation_type-{F}(V7) | pppp20-{T}(V4,V2,V1)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #178: disj( #19, input ), references = 4, size of lhs = 4:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), ilf_type-{F}(V2,V0), pppp6-{F}(V3,V1,V2,V4) | member-{T}(V2,V3)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #179: disj( #19, input ), references = 1, size of lhs = 6:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), pppp2-{F}(V3), ilf_type-{F}(V4,V0), pppp6-{F}(V5,V3,V4,V6) | member-{T}(V4,V5)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #190: mergings( V0 == V4, V1 == V5, V2 == V6; #186 ), references = 1, size of lhs = 5:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), ilf_type-{F}(V3,V0), member-{F}(V3,V4) | pppp18-{T}(V4,V0)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #212: mergings( V0 == V5, V5 == V8, V8 == V13, V1 == V6, V6 == V9, V9 == V14, V2 == V7, V7 == V10, V10 == V15; #200 ), references = 1, size of lhs = 12:
% 1.34/1.52 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V1,V2), P_empty_set-{F}(V3), P_binary_relation_type-{F}(V4), ilf_type-{F}(V5,V0), member-{F}(V5,V6), ilf_type-{F}(V6,V0), P_power_set-{F}(V7,V2), ilf_type-{F}(V7,V0), member-{F}(V5,V8), pppp6-{F}(V8,V1,V5,V9) | pppp20-{T}(V6,V7,V0)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #224: mergings( V0 == V5, V5 == V8, V8 == V11, V11 == V17, V1 == V6, V6 == V9, V9 == V12, V12 == V16, V2 == V7, V7 == V10, V10 == V13; #201 ), references = 1, size of lhs = 10:
% 1.34/1.52 P_binary_relation_type-{F}(V0), P_empty_set-{F}(V1), P_power_set-{F}(V1,V2), P_power_set-{F}(V3,V2), ilf_type-{F}(V3,V4), ilf_type-{F}(V1,V4), P_set_type-{F}(V4), ilf_type-{F}(V5,V4), member-{F}(V5,V6), ilf_type-{F}(V6,V4) | pppp20-{T}(V6,V3,V4)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #237: mergings( V0 == V5, V5 == V8, V8 == V11, V11 == V17, V1 == V6, V6 == V9, V9 == V12, V12 == V18, V2 == V7, V7 == V10, V10 == V13, V13 == V19; #202 ), references = 1, size of lhs = 11:
% 1.34/1.52 pppp2-{F}(V0), P_power_set-{F}(V0,V1), P_power_set-{F}(V2,V1), ilf_type-{F}(V2,V3), ilf_type-{F}(V0,V3), P_set_type-{F}(V3), ilf_type-{F}(V4,V3), member-{F}(V4,V5), ilf_type-{F}(V5,V3), P_empty_set-{F}(V6), P_binary_relation_type-{F}(V7) | pppp20-{T}(V5,V2,V3)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #239: disj( #69, input ), references = 1, size of lhs = 7:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), ilf_type-{F}(V3,V0), P_member_type-{F}(V3,V4), P_identity_relation_of-{F}(V3,V5), pppp16-{F}(V3,V6,V7) | pppp21-{T}(V4)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #261: mergings( V0 == V5, V5 == V9, V9 == V12, V12 == V17, V1 == V6, V6 == V13, V13 == V18, V2 == V7; #252 ), references = 1, size of lhs = 15:
% 1.34/1.52 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_power_set-{F}(V2,V3), ilf_type-{F}(V3,V1), ilf_type-{F}(V4,V1), P_ordered_pair-{F}(V4,V4,V5), P_identity_relation_of-{F}(V3,V6), ilf_type-{F}(V7,V1), P_identity_relation_of-{F}(V7,V6), ilf_type-{F}(V8,V1), ilf_type-{F}(V9,V1), V8 == V9, P_ordered_pair-{F}(V8,V9,V5), P_empty_set-{F}(V10) | pppp20-{T}(V4,V2,V1)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #276: mergings( V4 == V7, V2 == V6; #272 ), references = 2, size of lhs = 7:
% 1.34/1.52 P_binary_relation_type-{F}(V0), P_empty_set-{F}(V1), P_set_type-{F}(V2), ilf_type-{F}(V3,V2), member-{F}(V3,V4), ilf_type-{F}(V4,V2), P_identity_relation_of-{F}(V4,V1) | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #280: mergings( V4 == V7, V2 == V8, V3 == V9; #273 ), references = 2, size of lhs = 8:
% 1.34/1.52 pppp2-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), member-{F}(V2,V3), ilf_type-{F}(V3,V1), P_identity_relation_of-{F}(V3,V0), P_empty_set-{F}(V4), P_binary_relation_type-{F}(V5) | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #296: mergings( V4 == V1, V1 == V7, V5 == V6; #291 ), references = 2, size of lhs = 6:
% 1.34/1.52 P_binary_relation_type-{F}(V0), P_empty_set-{F}(V1), P_set_type-{F}(V2), ilf_type-{F}(V3,V2), P_identity_relation_of-{F}(V3,V1), pppp17-{F}(V3,V1,V4) | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #300: mergings( V4 == V1, V1 == V8, V5 == V9; #292 ), references = 1, size of lhs = 7:
% 1.34/1.52 pppp2-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_identity_relation_of-{F}(V2,V0), P_empty_set-{F}(V3), pppp17-{F}(V2,V3,V4), P_binary_relation_type-{F}(V5) | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #357: mergings( V0 == V5, V5 == V8, V8 == V12, V1 == V6, V6 == V9, V9 == V13, V2 == V7, V7 == V10, V10 == V14; #345 ), references = 1, size of lhs = 9:
% 1.34/1.52 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V1,V2), ilf_type-{F}(V2,V0), member-{F}(V2,V3), P_empty_set-{F}(V4), P_binary_relation_type-{F}(V5), member-{F}(V2,V6), pppp6-{F}(V6,V1,V2,V7) | pppp20-{T}(V3,V2,V0)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #369: mergings( V0 == V5, V5 == V8, V8 == V11, V11 == V15, V1 == V6, V6 == V9, V9 == V12, V12 == V14, V2 == V7, V7 == V10, V10 == V13; #346 ), references = 1, size of lhs = 7:
% 1.34/1.52 P_binary_relation_type-{F}(V0), P_empty_set-{F}(V1), ilf_type-{F}(V1,V2), P_set_type-{F}(V2), P_power_set-{F}(V1,V3), ilf_type-{F}(V3,V2), member-{F}(V3,V4) | pppp20-{T}(V4,V3,V2)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #382: mergings( V0 == V5, V5 == V8, V8 == V11, V11 == V15, V1 == V6, V6 == V9, V9 == V12, V12 == V16, V2 == V7, V7 == V10, V10 == V13, V13 == V17; #347 ), references = 1, size of lhs = 8:
% 1.34/1.52 pppp2-{F}(V0), ilf_type-{F}(V0,V1), P_set_type-{F}(V1), P_power_set-{F}(V0,V2), ilf_type-{F}(V2,V1), member-{F}(V2,V3), P_empty_set-{F}(V4), P_binary_relation_type-{F}(V5) | pppp20-{T}(V3,V2,V1)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #395: mergings( V0 == V5, V5 == V8, V8 == V9, V9 == V17, V1 == V6, V6 == V10, V10 == V18, V2 == V7; #386 ), references = 1, size of lhs = 16:
% 1.34/1.52 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_identity_relation_of-{F}(V2,V3), ilf_type-{F}(V3,V1), P_identity_relation_of-{F}(V3,V4), ilf_type-{F}(V5,V1), ilf_type-{F}(V6,V1), V5 == V6, P_ordered_pair-{F}(V5,V6,V7), ilf_type-{F}(V7,V1), P_ordered_pair-{F}(V7,V7,V8), ilf_type-{F}(V8,V1), P_power_set-{F}(V9,V4), ilf_type-{F}(V9,V1), P_empty_set-{F}(V10) | pppp20-{T}(V8,V9,V1)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #425: mergings( V0 == V5, V5 == V8, V1 == V6, V6 == V9, V2 == V7, V7 == V10; #418 ), references = 1, size of lhs = 7:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), ilf_type-{F}(V3,V0), member-{F}(V3,V4), ilf_type-{F}(V4,V0), P_member_type-{F}(V4,V5) | pppp21-{T}(V5)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #436: mergings( V0 == V6, V6 == V11, V1 == V7, V7 == V12; #431 ), references = 2, size of lhs = 13:
% 1.34/1.52 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_identity_relation_of-{F}(V2,V3), ilf_type-{F}(V3,V1), P_member_type-{F}(V3,V4), ilf_type-{F}(V5,V1), ilf_type-{F}(V6,V1), V5 == V6, P_ordered_pair-{F}(V5,V6,V7), ilf_type-{F}(V7,V1), ilf_type-{F}(V7,V4), P_empty_set-{F}(V8) | empty-{T}(V3)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #446: mergings( V4 == V1, V1 == V7, V5 == V8; #442 ), references = 2, size of lhs = 5:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), pppp2-{F}(V3), pppp17-{F}(V3,V1,V4) | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #461: mergings( V6 == V10, V10 == V13, V3 == V9, V9 == V11, V11 == V14, V4 == V5, V5 == V12, V12 == V15; #452 ), references = 1, size of lhs = 11:
% 1.34/1.52 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_identity_relation_of-{F}(V1,V2), P_member_type-{F}(V2,V0), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), V3 == V4, P_empty_set-{F}(V5), P_binary_relation_type-{F}(V6), pppp17-{F}(V2,V5,V7) | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #467: mergings( V2 == V5, V3 == V6; #464 ), references = 3, size of lhs = 5:
% 1.34/1.52 P_set_type-{F}(V0), P_empty_set-{F}(V1), P_binary_relation_type-{F}(V2), ilf_type-{F}(V3,V0), pppp16-{F}(V4,V5,V3) | P_identity_relation_of-{T}(V4,V3)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #487: mergings( V0 == V6, V6 == V12, V4 == V7, V7 == V9, V9 == V1, V2 == V5, V5 == V8, V8 == V10, V10 == V11; #476 ), references = 1, size of lhs = 4:
% 1.34/1.52 P_binary_relation_type-{F}(V0), P_empty_set-{F}(V1), ilf_type-{F}(V1,V2), P_set_type-{F}(V2) | pppp16-{T}(V1,V2,V1)
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #504: mergings( V2 == V7, V1 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8; #497 ), references = 1, size of lhs = 3:
% 1.34/1.52 empty-{F}(V0), P_empty_set-{F}(V0), P_set_type-{F}(V1) | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #509: mergings( V1 == V2, V2 == V3; #506 ), references = 1, size of lhs = 1:
% 1.34/1.52 P_set_type-{F}(V0) | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 #511: exists( #77, #506 ), references = 1, size of lhs = 0:
% 1.34/1.52 FALSE | FALSE
% 1.34/1.52 (used 0 times, uses = {})
% 1.34/1.52
% 1.34/1.52 number of learnt formulas = 31
% 1.34/1.52
% 1.34/1.52
% 1.34/1.52 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.34/1.52
% 1.34/1.52 randbase = 1
%------------------------------------------------------------------------------