TSTP Solution File: SET640+3 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET640+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 06:16:32 EDT 2022
% Result : Theorem 9.15s 9.36s
% Output : Refutation 9.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET640+3 : TPTP v8.1.0. Released v2.2.0.
% 0.09/0.10 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.10/0.29 % Computer : n015.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Sat Jul 23 01:49:37 EDT 2022
% 0.10/0.30 % CPUTime :
% 9.15/9.36 GeoParameters:
% 9.15/9.36
% 9.15/9.36 tptp_input = 1
% 9.15/9.36 tptp_output = 0
% 9.15/9.36 nonempty = 1
% 9.15/9.36 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.15/9.36 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 9.15/9.36
% 9.15/9.36
% 9.15/9.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.15/9.36 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.15/9.36
% 9.15/9.36 RuleSystem INPUT:
% 9.15/9.36
% 9.15/9.36 Initial Rules:
% 9.15/9.36 #0: input, references = 4, size of lhs = 6:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), subset-{F}(V1,V2), ilf_type-{F}(V3,V0), subset-{F}(V2,V3) | subset-{T}(V1,V3)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #1: input, references = 3, size of lhs = 6:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_cross_product-{F}(V1,V2,V3), ilf_type-{F}(V2,V0), ilf_type-{F}(V4,V0), member-{F}(V4,V3) | pppp0-{T}(V1,V2,V4)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #2: input, references = 9, size of lhs = 6:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_cross_product-{F}(V1,V2,V3), ilf_type-{F}(V2,V0), ilf_type-{F}(V4,V0), pppp0-{F}(V1,V2,V4) | member-{T}(V4,V3)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #3: input, references = 3, size of lhs = 2:
% 9.15/9.36 P_set_type-{F}(V0), pppp0-{F}(V1,V2,V3) | EXISTS V4: pppp6-{T}(V1,V2,V3,V4,V0)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #4: input, references = 9, size of lhs = 6:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V4,V0), member-{F}(V4,V1), P_ordered_pair-{F}(V4,V5,V6), ilf_type-{F}(V5,V0), member-{F}(V5,V2) | pppp0-{T}(V1,V2,V6)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #5: input, references = 5, size of lhs = 1:
% 9.15/9.36 pppp6-{F}(V0,V1,V2,V3,V4) | EXISTS V5: pppp5-{T}(V1,V2,V3,V5,V4)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #6: input, references = 3, size of lhs = 1:
% 9.15/9.36 pppp6-{F}(V0,V1,V2,V3,V4) | member-{T}(V3,V0)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #7: input, references = 3, size of lhs = 1:
% 9.15/9.36 pppp6-{F}(V0,V1,V2,V3,V4) | ilf_type-{T}(V3,V4)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #8: input, references = 4, size of lhs = 3:
% 9.15/9.36 pppp5-{F}(V0,V1,V2,V3,V4), P_ordered_pair-{F}(V2,V3,V5), V1 == V5 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #9: input, references = 5, size of lhs = 2:
% 9.15/9.36 pppp5-{F}(V0,V1,V2,V3,V4), P_ordered_pair-{F}(V2,V3,V5) | member-{T}(V3,V0)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #10: input, references = 3, size of lhs = 2:
% 9.15/9.36 pppp5-{F}(V0,V1,V2,V3,V4), P_ordered_pair-{F}(V2,V3,V5) | ilf_type-{T}(V3,V4)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #11: input, references = 3, size of lhs = 4:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_cross_product-{F}(V1,V2,V3), ilf_type-{F}(V2,V0) | ilf_type-{T}(V3,V0)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #12: input, references = 3, size of lhs = 7:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_cross_product-{F}(V1,V2,V3), P_subset_type-{F}(V3,V4), P_relation_type-{F}(V1,V2,V5), ilf_type-{F}(V2,V0), ilf_type-{F}(V6,V4) | ilf_type-{T}(V6,V5)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #13: input, references = 4, size of lhs = 7:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_cross_product-{F}(V1,V2,V3), P_subset_type-{F}(V3,V4), P_relation_type-{F}(V1,V2,V5), ilf_type-{F}(V2,V0), ilf_type-{F}(V6,V5) | ilf_type-{T}(V6,V4)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #14: input, references = 3, size of lhs = 4:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_relation_type-{F}(V2,V1,V3), ilf_type-{F}(V2,V0) | EXISTS V4: pppp7-{T}(V3,V4)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #15: input, references = 3, size of lhs = 1:
% 9.15/9.36 pppp7-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #16: input, references = 3, size of lhs = 4:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), subset-{F}(V1,V2) | pppp1-{T}(V1,V2)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #17: input, references = 4, size of lhs = 4:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), pppp1-{F}(V1,V2) | subset-{T}(V1,V2)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #18: input, references = 5, size of lhs = 4:
% 9.15/9.36 P_set_type-{F}(V0), pppp1-{F}(V1,V2), ilf_type-{F}(V3,V0), member-{F}(V3,V1) | member-{T}(V3,V2)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #19: input, references = 6, size of lhs = 3:
% 9.15/9.36 P_set_type-{F}(V0), #-{F} V1, #-{F} V2 | pppp1-{T}(V1,V2), pppp20-{T}(V1,V2,V0)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #20: input, references = 4, size of lhs = 1:
% 9.15/9.36 pppp20-{F}(V0,V1,V2) | EXISTS V3: pppp8-{T}(V0,V1,V3,V2)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #21: input, references = 5, size of lhs = 2:
% 9.15/9.36 pppp8-{F}(V0,V1,V2,V3), member-{F}(V2,V1) | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #22: input, references = 4, size of lhs = 1:
% 9.15/9.36 pppp8-{F}(V0,V1,V2,V3) | member-{T}(V2,V0)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #23: input, references = 4, size of lhs = 1:
% 9.15/9.36 pppp8-{F}(V0,V1,V2,V3) | ilf_type-{T}(V2,V3)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #24: input, references = 3, size of lhs = 4:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_ordered_pair-{F}(V1,V2,V3), ilf_type-{F}(V2,V0) | ilf_type-{T}(V3,V0)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #25: input, references = 4, size of lhs = 7:
% 9.15/9.36 P_set_type-{F}(V0), P_subset_type-{F}(V1,V2), P_power_set-{F}(V1,V3), P_member_type-{F}(V3,V4), ilf_type-{F}(V1,V0), ilf_type-{F}(V5,V0), ilf_type-{F}(V5,V2) | ilf_type-{T}(V5,V4)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #26: input, references = 3, size of lhs = 7:
% 9.15/9.36 P_set_type-{F}(V0), P_subset_type-{F}(V1,V2), P_power_set-{F}(V1,V3), P_member_type-{F}(V3,V4), ilf_type-{F}(V1,V0), ilf_type-{F}(V5,V0), ilf_type-{F}(V5,V4) | ilf_type-{T}(V5,V2)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #27: input, references = 3, size of lhs = 3:
% 9.15/9.36 P_set_type-{F}(V0), P_subset_type-{F}(V1,V2), ilf_type-{F}(V1,V0) | EXISTS V3: pppp9-{T}(V2,V3)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #28: input, references = 3, size of lhs = 1:
% 9.15/9.36 pppp9-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #29: input, references = 3, size of lhs = 2:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0) | subset-{T}(V1,V1)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #30: input, references = 6, size of lhs = 5:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V2,V3), ilf_type-{F}(V2,V0), member-{F}(V1,V3) | pppp2-{T}(V1,V2)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #31: input, references = 4, size of lhs = 5:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V2,V3), ilf_type-{F}(V2,V0), pppp2-{F}(V1,V2) | member-{T}(V1,V3)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #32: input, references = 4, size of lhs = 4:
% 9.15/9.36 P_set_type-{F}(V0), pppp2-{F}(V1,V2), ilf_type-{F}(V3,V0), member-{F}(V3,V1) | member-{T}(V3,V2)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #33: input, references = 5, size of lhs = 3:
% 9.15/9.36 P_set_type-{F}(V0), #-{F} V1, #-{F} V2 | pppp2-{T}(V1,V2), pppp21-{T}(V1,V2,V0)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #34: input, references = 3, size of lhs = 1:
% 9.15/9.36 pppp21-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V0,V1,V3,V2)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #35: input, references = 4, size of lhs = 2:
% 9.15/9.36 pppp10-{F}(V0,V1,V2,V3), member-{F}(V2,V1) | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #36: input, references = 3, size of lhs = 1:
% 9.15/9.36 pppp10-{F}(V0,V1,V2,V3) | member-{T}(V2,V0)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #37: input, references = 3, size of lhs = 1:
% 9.15/9.36 pppp10-{F}(V0,V1,V2,V3) | ilf_type-{T}(V2,V3)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #38: input, references = 5, size of lhs = 4:
% 9.15/9.36 P_set_type-{F}(V0), P_power_set-{F}(V1,V2), ilf_type-{F}(V1,V0), empty-{F}(V2) | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #39: input, references = 3, size of lhs = 3:
% 9.15/9.36 P_set_type-{F}(V0), P_power_set-{F}(V1,V2), ilf_type-{F}(V1,V0) | ilf_type-{T}(V2,V0)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #40: input, references = 5, size of lhs = 5:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_member_type-{F}(V2,V3), ilf_type-{F}(V2,V0), ilf_type-{F}(V1,V3) | empty-{T}(V2), member-{T}(V1,V2)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #41: input, references = 3, size of lhs = 5:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_member_type-{F}(V2,V3), ilf_type-{F}(V2,V0), member-{F}(V1,V2) | empty-{T}(V2), ilf_type-{T}(V1,V3)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #42: input, references = 4, size of lhs = 3:
% 9.15/9.36 P_set_type-{F}(V0), P_member_type-{F}(V1,V2), ilf_type-{F}(V1,V0) | empty-{T}(V1), pppp22-{T}(V2)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #43: input, references = 3, size of lhs = 1:
% 9.15/9.36 pppp22-{F}(V0) | EXISTS V1: pppp11-{T}(V0,V1)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #44: input, references = 3, size of lhs = 1:
% 9.15/9.36 pppp11-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #45: input, references = 3, size of lhs = 3:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), empty-{F}(V1) | pppp3-{T}(V1)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #46: input, references = 4, size of lhs = 3:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), pppp3-{F}(V1) | empty-{T}(V1)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #47: input, references = 3, size of lhs = 4:
% 9.15/9.36 P_set_type-{F}(V0), pppp3-{F}(V1), ilf_type-{F}(V2,V0), member-{F}(V2,V1) | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #48: input, references = 5, size of lhs = 2:
% 9.15/9.36 P_set_type-{F}(V0), #-{F} V1 | pppp3-{T}(V1), pppp23-{T}(V1,V0)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #49: input, references = 3, size of lhs = 1:
% 9.15/9.36 pppp23-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V0,V2,V1)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #50: input, references = 3, size of lhs = 1:
% 9.15/9.36 pppp12-{F}(V0,V1,V2) | member-{T}(V1,V0)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #51: input, references = 3, size of lhs = 1:
% 9.15/9.36 pppp12-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #52: input, references = 3, size of lhs = 3:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), relation_like-{F}(V1) | pppp4-{T}(V1)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #53: input, references = 3, size of lhs = 3:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), pppp4-{F}(V1) | relation_like-{T}(V1)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #54: input, references = 3, size of lhs = 4:
% 9.15/9.36 P_set_type-{F}(V0), pppp4-{F}(V1), ilf_type-{F}(V2,V0), member-{F}(V2,V1) | EXISTS V3: pppp14-{T}(V2,V3,V0)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #55: input, references = 3, size of lhs = 2:
% 9.15/9.36 P_set_type-{F}(V0), #-{F} V1 | pppp4-{T}(V1), pppp24-{T}(V1,V0)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #56: input, references = 3, size of lhs = 1:
% 9.15/9.36 pppp24-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V2,V1)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #57: input, references = 3, size of lhs = 4:
% 9.15/9.36 pppp15-{F}(V0,V5,V2), ilf_type-{F}(V3,V2), P_ordered_pair-{F}(V3,V4,V5), ilf_type-{F}(V4,V2) | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #58: input, references = 3, size of lhs = 1:
% 9.15/9.36 pppp15-{F}(V0,V1,V2) | member-{T}(V1,V0)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #59: input, references = 3, size of lhs = 1:
% 9.15/9.36 pppp15-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #60: input, references = 3, size of lhs = 1:
% 9.15/9.36 pppp14-{F}(V0,V1,V2) | EXISTS V3: pppp13-{T}(V0,V1,V3,V2)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #61: input, references = 3, size of lhs = 1:
% 9.15/9.36 pppp14-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #62: input, references = 4, size of lhs = 3:
% 9.15/9.36 pppp13-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4), V0 == V4 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #63: input, references = 3, size of lhs = 2:
% 9.15/9.36 pppp13-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4) | ilf_type-{T}(V2,V3)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #64: input, references = 3, size of lhs = 3:
% 9.15/9.36 P_set_type-{F}(V0), empty-{F}(V1), ilf_type-{F}(V1,V0) | relation_like-{T}(V1)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #65: input, references = 3, size of lhs = 6:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_cross_product-{F}(V1,V2,V3), P_subset_type-{F}(V3,V4), ilf_type-{F}(V2,V0), ilf_type-{F}(V5,V4) | relation_like-{T}(V5)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #66: input, references = 9, size of lhs = 2:
% 9.15/9.36 P_set_type-{F}(V0), #-{F} V1 | ilf_type-{T}(V1,V0)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #67: input, references = 4, size of lhs = 1:
% 9.15/9.36 P_set_type-{F}(V0) | EXISTS V1: pppp19-{T}(V1,V0)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #68: input, references = 4, size of lhs = 1:
% 9.15/9.36 pppp19-{F}(V0,V1) | EXISTS V2: pppp18-{T}(V0,V2,V1)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #69: input, references = 4, size of lhs = 1:
% 9.15/9.36 pppp19-{F}(V0,V1) | ilf_type-{T}(V0,V1)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #70: input, references = 4, size of lhs = 1:
% 9.15/9.36 pppp18-{F}(V0,V1,V2) | EXISTS V3: pppp17-{T}(V0,V1,V3,V2)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #71: input, references = 4, size of lhs = 1:
% 9.15/9.36 pppp18-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #72: input, references = 4, size of lhs = 3:
% 9.15/9.36 pppp17-{F}(V0,V1,V2,V3), P_cross_product-{F}(V1,V2,V4), P_relation_type-{F}(V1,V2,V5) | EXISTS V6: pppp16-{T}(V0,V6,V5)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #73: input, references = 4, size of lhs = 4:
% 9.15/9.36 pppp17-{F}(V0,V1,V2,V3), P_cross_product-{F}(V1,V2,V4), P_relation_type-{F}(V1,V2,V5), subset-{F}(V0,V4) | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #74: input, references = 3, size of lhs = 3:
% 9.15/9.36 pppp17-{F}(V0,V1,V2,V3), P_cross_product-{F}(V1,V2,V4), P_relation_type-{F}(V1,V2,V5) | ilf_type-{T}(V2,V3)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #75: input, references = 4, size of lhs = 1:
% 9.15/9.36 pppp16-{F}(V0,V1,V2) | subset-{T}(V0,V1)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #76: input, references = 4, size of lhs = 1:
% 9.15/9.36 pppp16-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #77: input, references = 4, size of lhs = 0:
% 9.15/9.36 FALSE | EXISTS V0: P_set_type-{T}(V0)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #78: input, references = 4, size of lhs = 2:
% 9.15/9.36 #-{F} V0, #-{F} V1 | EXISTS V2: P_cross_product-{T}(V0,V1,V2)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #79: input, references = 4, size of lhs = 2:
% 9.15/9.36 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #80: input, references = 4, size of lhs = 1:
% 9.15/9.36 #-{F} V0 | EXISTS V1: P_subset_type-{T}(V0,V1)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #81: input, references = 5, size of lhs = 2:
% 9.15/9.36 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_type-{T}(V0,V1,V2)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #82: input, references = 4, size of lhs = 1:
% 9.15/9.36 #-{F} V0 | EXISTS V1: P_member_type-{T}(V0,V1)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #83: input, references = 4, size of lhs = 1:
% 9.15/9.36 #-{F} V0 | EXISTS V1: P_power_set-{T}(V0,V1)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 number of initial rules = 84
% 9.15/9.36
% 9.15/9.36 Simplifiers:
% 9.15/9.36 #84: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 P_set_type-{F}(V0), P_set_type-{F}(V1), V0 == V1 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #85: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 P_cross_product-{F}(V0,V1,V2), P_cross_product-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #86: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #87: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 P_subset_type-{F}(V0,V1), P_subset_type-{F}(V0,V3), V1 == V3 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #88: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 P_relation_type-{F}(V0,V1,V2), P_relation_type-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #89: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 P_member_type-{F}(V0,V1), P_member_type-{F}(V0,V3), V1 == V3 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #90: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 P_power_set-{F}(V0,V1), P_power_set-{F}(V0,V3), V1 == V3 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #91: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp5-{F}(V0,V1,V2,V3,V4), pppp5-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #92: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp5-{F}(V0,V1,V2,V3,V4), pppp5-{F}(V5,V6,V7,V8,V9), V4 == V9 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #93: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp6-{F}(V0,V1,V2,V3,V4), pppp6-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #94: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp6-{F}(V0,V1,V2,V3,V4), pppp6-{F}(V5,V6,V7,V8,V9), V4 == V9 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #95: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #96: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #97: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #98: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #99: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #100: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #101: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp11-{F}(V0,V1), pppp11-{F}(V0,V3), V1 == V3 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #102: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp12-{F}(V0,V1,V2), pppp12-{F}(V0,V4,V2), V1 == V4 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #103: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V4,V5), V2 == V5 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #104: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #105: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V0,V5,V6,V3), V1 == V5 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #106: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #107: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp14-{F}(V0,V1,V2), pppp14-{F}(V0,V4,V2), V1 == V4 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #108: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V4,V5), V2 == V5 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #109: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V2), V1 == V4 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #110: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp15-{F}(V0,V1,V2), pppp15-{F}(V3,V4,V5), V2 == V5 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #111: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp16-{F}(V0,V1,V2), pppp16-{F}(V0,V4,V2), V1 == V4 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #112: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp17-{F}(V0,V1,V2,V3), pppp17-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #113: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp17-{F}(V0,V1,V2,V3), pppp17-{F}(V0,V5,V6,V3), V1 == V5 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #114: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp17-{F}(V0,V1,V2,V3), pppp17-{F}(V4,V5,V6,V3), V0 == V4 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #115: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp17-{F}(V0,V1,V2,V3), pppp17-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #116: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V4,V2), V1 == V4 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #117: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp18-{F}(V0,V1,V2), pppp18-{F}(V3,V4,V2), V0 == V3 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #118: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp18-{F}(V0,V1,V2), pppp18-{F}(V3,V4,V5), V2 == V5 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #119: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp19-{F}(V0,V1), pppp19-{F}(V2,V1), V0 == V2 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #120: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp19-{F}(V0,V1), pppp19-{F}(V2,V3), V1 == V3 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #121: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp20-{F}(V0,V1,V2), pppp20-{F}(V3,V4,V5), V2 == V5 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #122: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp21-{F}(V0,V1,V2), pppp21-{F}(V3,V4,V5), V2 == V5 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #123: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp23-{F}(V0,V1), pppp23-{F}(V2,V3), V1 == V3 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #124: unsound, references = 3, size of lhs = 3:
% 9.15/9.36 pppp24-{F}(V0,V1), pppp24-{F}(V2,V3), V1 == V3 | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 number of simplifiers = 41
% 9.15/9.36
% 9.15/9.36 Learnt:
% 9.15/9.36 #127: mergings( V0 == V3; #125 ), references = 1, size of lhs = 5:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V1,V2), ilf_type-{F}(V2,V0), P_member_type-{F}(V2,V3) | pppp22-{T}(V3)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #132: mergings( V0 == V2, V2 == V3; #129 ), references = 1, size of lhs = 4:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V1,V2), ilf_type-{F}(V2,V0) | pppp23-{T}(V2,V0)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #137: exists( #20, #135 ), references = 3, size of lhs = 3:
% 9.15/9.36 P_set_type-{F}(V0), pppp2-{F}(V1,V2), pppp20-{F}(V1,V2,V0) | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #152: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15; #144 ), references = 1, size of lhs = 15:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V1,V2), ilf_type-{F}(V2,V0), P_cross_product-{F}(V2,V2,V3), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), P_ordered_pair-{F}(V4,V4,V5), ilf_type-{F}(V5,V0), P_ordered_pair-{F}(V5,V4,V6), ilf_type-{F}(V6,V0), P_cross_product-{F}(V3,V2,V7), ilf_type-{F}(V8,V0), P_power_set-{F}(V8,V7), pppp20-{F}(V6,V8,V0) | pppp21-{T}(V4,V1,V0)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #169: mergings( V0 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #162 ), references = 1, size of lhs = 15:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V1,V2), P_member_type-{F}(V3,V2), ilf_type-{F}(V3,V0), P_ordered_pair-{F}(V1,V1,V4), ilf_type-{F}(V4,V0), P_cross_product-{F}(V3,V3,V5), ilf_type-{F}(V5,V0), P_ordered_pair-{F}(V4,V1,V6), ilf_type-{F}(V6,V0), P_cross_product-{F}(V5,V3,V7), ilf_type-{F}(V8,V0), P_power_set-{F}(V8,V7), pppp20-{F}(V6,V8,V0) | empty-{T}(V3)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #179: mergings( V3 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V0, V0 == V13; #171 ), references = 1, size of lhs = 16:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V1,V2), P_ordered_pair-{F}(V1,V1,V3), ilf_type-{F}(V3,V0), P_ordered_pair-{F}(V3,V1,V4), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), P_power_set-{F}(V5,V6), ilf_type-{F}(V7,V0), P_power_set-{F}(V7,V8), P_member_type-{F}(V8,V2), ilf_type-{F}(V8,V0), P_cross_product-{F}(V8,V8,V9), ilf_type-{F}(V9,V0), P_cross_product-{F}(V9,V8,V6) | pppp1-{T}(V4,V5)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #181: exists( #81, #73 ), references = 2, size of lhs = 3:
% 9.15/9.36 subset-{F}(V0,V1), P_cross_product-{F}(V2,V3,V1), pppp17-{F}(V0,V2,V3,V4) | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #184: exists( #79, #62 ), references = 1, size of lhs = 1:
% 9.15/9.36 pppp13-{F}(V0,V1,V2,V3) | P_ordered_pair-{T}(V1,V2,V0)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #185: exists( #79, #8 ), references = 3, size of lhs = 1:
% 9.15/9.36 pppp5-{F}(V0,V1,V2,V3,V4) | P_ordered_pair-{T}(V2,V3,V1)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #188: mergings( V0 == V2; #186 ), references = 1, size of lhs = 3:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2) | pppp23-{T}(V2,V0)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #190: disj( #19, exists( #20, #135 ) ), references = 1, size of lhs = 2:
% 9.15/9.36 P_set_type-{F}(V0), pppp2-{F}(V1,V2) | pppp1-{T}(V1,V2)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #201: mergings( V0 == V3, V3 == V4; #197 ), references = 2, size of lhs = 7:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), subset-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_cross_product-{F}(V4,V5,V3), pppp17-{F}(V1,V4,V5,V6) | pppp20-{T}(V2,V3,V0)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #205: mergings( V0 == V3; #203 ), references = 1, size of lhs = 2:
% 9.15/9.36 P_set_type-{F}(V0), pppp20-{F}(V1,V2,V0) | pppp21-{T}(V1,V2,V0)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #209: mergings( V0 == V4; #207 ), references = 2, size of lhs = 7:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V1,V2), ilf_type-{F}(V3,V0), P_power_set-{F}(V3,V4), P_member_type-{F}(V4,V2), ilf_type-{F}(V4,V0) | member-{T}(V1,V4)
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #246: mergings( V6 == V8; #243 ), references = 1, size of lhs = 10:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), pppp1-{F}(V5,V4), P_cross_product-{F}(V2,V4,V6), pppp6-{F}(V7,V5,V3,V1,V8), pppp8-{F}(V9,V6,V3,V10) | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #265: mergings( V6 == V8; #263 ), references = 1, size of lhs = 10:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), pppp1-{F}(V5,V4), P_cross_product-{F}(V2,V4,V6), pppp6-{F}(V7,V5,V3,V1,V8), pppp10-{F}(V9,V6,V3,V10) | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #291: mergings( V2 == V6, V6 == V8, V8 == V10; #287 ), references = 2, size of lhs = 12:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_subset_type-{F}(V1,V2), P_power_set-{F}(V1,V3), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V2), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), P_power_set-{F}(V5,V3), ilf_type-{F}(V6,V0), P_power_set-{F}(V6,V3), pppp20-{F}(V4,V6,V0) | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #294: exists( #83, #292 ), references = 2, size of lhs = 6:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V1,V2), P_subset_type-{F}(V3,V2), ilf_type-{F}(V3,V0), pppp20-{F}(V1,V3,V0) | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #298: mergings( V2 == V7; #296 ), references = 2, size of lhs = 9:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V1,V2,V3), ilf_type-{F}(V3,V0), P_relation_type-{F}(V1,V2,V4), ilf_type-{F}(V5,V4), ilf_type-{F}(V5,V0), pppp20-{F}(V5,V3,V0) | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #327: mergings( V3 == V13, V1 == V11, V2 == V12, V4 == V10; #322 ), references = 1, size of lhs = 10:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_cross_product-{F}(V2,V3,V4), ilf_type-{F}(V4,V0), P_relation_type-{F}(V2,V3,V5), P_relation_type-{F}(V6,V7,V5), P_cross_product-{F}(V6,V7,V4), pppp17-{F}(V1,V6,V7,V8) | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #333: mergings( V5 == V7, V6 == V10, V0 == V8, V1 == V9; #328 ), references = 1, size of lhs = 7:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_cross_product-{F}(V2,V3,V4), ilf_type-{F}(V4,V0), pppp17-{F}(V1,V2,V3,V5) | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #337: mergings( V5 == V6; #335 ), references = 1, size of lhs = 5:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), pppp17-{F}(V1,V2,V3,V4) | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #340: exists( #70, #338 ), references = 2, size of lhs = 4:
% 9.15/9.36 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), pppp18-{F}(V1,V2,V3) | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #343: exists( #68, #341 ), references = 2, size of lhs = 3:
% 9.15/9.36 P_set_type-{F}(V0), pppp19-{F}(V1,V0), ilf_type-{F}(V1,V0) | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #346: exists( #67, #344 ), references = 1, size of lhs = 1:
% 9.15/9.36 P_set_type-{F}(V0) | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 #348: exists( #77, #345 ), references = 1, size of lhs = 0:
% 9.15/9.36 FALSE | FALSE
% 9.15/9.36 (used 0 times, uses = {})
% 9.15/9.36
% 9.15/9.36 number of learnt formulas = 26
% 9.15/9.36
% 9.15/9.36
% 9.15/9.36 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.15/9.36
% 9.15/9.36 randbase = 1
%------------------------------------------------------------------------------