TSTP Solution File: SET643+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET643+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n022.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 0.60s 0.85s
% Output : Refutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET643+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n022.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 01:49:51 EDT 2022
% 0.18/0.33 % CPUTime :
% 0.60/0.85 GeoParameters:
% 0.60/0.85
% 0.60/0.85 tptp_input = 1
% 0.60/0.85 tptp_output = 0
% 0.60/0.85 nonempty = 1
% 0.60/0.85 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.85 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.60/0.85
% 0.60/0.85
% 0.60/0.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.85 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.85
% 0.60/0.85 RuleSystem INPUT:
% 0.60/0.85
% 0.60/0.85 Initial Rules:
% 0.60/0.85 #0: input, references = 4, size of lhs = 7:
% 0.60/0.85 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V2,V3,V4), P_relation_type-{F}(V2,V3,V5), ilf_type-{F}(V3,V0), subset-{F}(V1,V4) | ilf_type-{T}(V1,V5)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #1: input, references = 3, size of lhs = 6:
% 0.60/0.85 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)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #2: input, references = 4, size of lhs = 6:
% 0.60/0.85 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)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #3: input, references = 3, size of lhs = 2:
% 0.60/0.85 P_set_type-{F}(V0), pppp0-{F}(V1,V2,V3) | EXISTS V4: pppp6-{T}(V1,V2,V3,V4,V0)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #4: input, references = 4, size of lhs = 6:
% 0.60/0.85 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)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #5: input, references = 3, size of lhs = 1:
% 0.60/0.85 pppp6-{F}(V0,V1,V2,V3,V4) | EXISTS V5: pppp5-{T}(V1,V2,V3,V5,V4)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #6: input, references = 3, size of lhs = 1:
% 0.60/0.85 pppp6-{F}(V0,V1,V2,V3,V4) | member-{T}(V3,V0)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #7: input, references = 3, size of lhs = 1:
% 0.60/0.85 pppp6-{F}(V0,V1,V2,V3,V4) | ilf_type-{T}(V3,V4)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #8: input, references = 3, size of lhs = 3:
% 0.60/0.85 pppp5-{F}(V0,V1,V2,V3,V4), P_ordered_pair-{F}(V2,V3,V5), V1 == V5 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #9: input, references = 3, size of lhs = 2:
% 0.60/0.85 pppp5-{F}(V0,V1,V2,V3,V4), P_ordered_pair-{F}(V2,V3,V5) | member-{T}(V3,V0)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #10: input, references = 3, size of lhs = 2:
% 0.60/0.85 pppp5-{F}(V0,V1,V2,V3,V4), P_ordered_pair-{F}(V2,V3,V5) | ilf_type-{T}(V3,V4)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #11: input, references = 3, size of lhs = 4:
% 0.60/0.85 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)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #12: input, references = 3, size of lhs = 7:
% 0.60/0.85 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)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #13: input, references = 3, size of lhs = 7:
% 0.60/0.85 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)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #14: input, references = 3, size of lhs = 4:
% 0.60/0.85 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)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #15: input, references = 3, size of lhs = 1:
% 0.60/0.85 pppp7-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #16: input, references = 3, size of lhs = 4:
% 0.60/0.85 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)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #17: input, references = 3, size of lhs = 7:
% 0.60/0.85 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)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #18: input, references = 3, size of lhs = 7:
% 0.60/0.85 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)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #19: input, references = 3, size of lhs = 3:
% 0.60/0.85 P_set_type-{F}(V0), P_subset_type-{F}(V1,V2), ilf_type-{F}(V1,V0) | EXISTS V3: pppp8-{T}(V2,V3)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #20: input, references = 3, size of lhs = 1:
% 0.60/0.85 pppp8-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #21: input, references = 3, size of lhs = 4:
% 0.60/0.85 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), subset-{F}(V1,V2) | pppp1-{T}(V1,V2)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #22: input, references = 3, size of lhs = 4:
% 0.60/0.85 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), pppp1-{F}(V1,V2) | subset-{T}(V1,V2)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #23: input, references = 3, size of lhs = 4:
% 0.60/0.85 P_set_type-{F}(V0), pppp1-{F}(V1,V2), ilf_type-{F}(V3,V0), member-{F}(V3,V1) | member-{T}(V3,V2)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #24: input, references = 4, size of lhs = 3:
% 0.60/0.85 P_set_type-{F}(V0), #-{F} V1, #-{F} V2 | pppp1-{T}(V1,V2), pppp18-{T}(V1,V2,V0)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #25: input, references = 4, size of lhs = 1:
% 0.60/0.85 pppp18-{F}(V0,V1,V2) | EXISTS V3: pppp9-{T}(V0,V1,V3,V2)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #26: input, references = 4, size of lhs = 2:
% 0.60/0.85 pppp9-{F}(V0,V1,V2,V3), member-{F}(V2,V1) | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #27: input, references = 4, size of lhs = 1:
% 0.60/0.85 pppp9-{F}(V0,V1,V2,V3) | member-{T}(V2,V0)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #28: input, references = 4, size of lhs = 1:
% 0.60/0.85 pppp9-{F}(V0,V1,V2,V3) | ilf_type-{T}(V2,V3)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #29: input, references = 4, size of lhs = 2:
% 0.60/0.85 P_set_type-{F}(V0), ilf_type-{F}(V1,V0) | subset-{T}(V1,V1)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #30: input, references = 4, size of lhs = 5:
% 0.60/0.85 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)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #31: input, references = 4, size of lhs = 5:
% 0.60/0.85 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)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #32: input, references = 4, size of lhs = 4:
% 0.60/0.85 P_set_type-{F}(V0), pppp2-{F}(V1,V2), ilf_type-{F}(V3,V0), member-{F}(V3,V1) | member-{T}(V3,V2)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #33: input, references = 4, size of lhs = 3:
% 0.60/0.85 P_set_type-{F}(V0), #-{F} V1, #-{F} V2 | pppp2-{T}(V1,V2), pppp19-{T}(V1,V2,V0)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #34: input, references = 3, size of lhs = 1:
% 0.60/0.85 pppp19-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V0,V1,V3,V2)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #35: input, references = 3, size of lhs = 2:
% 0.60/0.85 pppp10-{F}(V0,V1,V2,V3), member-{F}(V2,V1) | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #36: input, references = 3, size of lhs = 1:
% 0.60/0.85 pppp10-{F}(V0,V1,V2,V3) | member-{T}(V2,V0)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #37: input, references = 3, size of lhs = 1:
% 0.60/0.85 pppp10-{F}(V0,V1,V2,V3) | ilf_type-{T}(V2,V3)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #38: input, references = 4, size of lhs = 4:
% 0.60/0.85 P_set_type-{F}(V0), P_power_set-{F}(V1,V2), ilf_type-{F}(V1,V0), empty-{F}(V2) | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #39: input, references = 3, size of lhs = 3:
% 0.60/0.85 P_set_type-{F}(V0), P_power_set-{F}(V1,V2), ilf_type-{F}(V1,V0) | ilf_type-{T}(V2,V0)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #40: input, references = 4, size of lhs = 5:
% 0.60/0.85 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)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #41: input, references = 3, size of lhs = 5:
% 0.60/0.85 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)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #42: input, references = 4, size of lhs = 3:
% 0.60/0.85 P_set_type-{F}(V0), P_member_type-{F}(V1,V2), ilf_type-{F}(V1,V0) | empty-{T}(V1), pppp20-{T}(V2)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #43: input, references = 3, size of lhs = 1:
% 0.60/0.85 pppp20-{F}(V0) | EXISTS V1: pppp11-{T}(V0,V1)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #44: input, references = 3, size of lhs = 1:
% 0.60/0.85 pppp11-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #45: input, references = 3, size of lhs = 3:
% 0.60/0.85 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), empty-{F}(V1) | pppp3-{T}(V1)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #46: input, references = 4, size of lhs = 3:
% 0.60/0.85 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), pppp3-{F}(V1) | empty-{T}(V1)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #47: input, references = 3, size of lhs = 4:
% 0.60/0.85 P_set_type-{F}(V0), pppp3-{F}(V1), ilf_type-{F}(V2,V0), member-{F}(V2,V1) | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #48: input, references = 5, size of lhs = 2:
% 0.60/0.85 P_set_type-{F}(V0), #-{F} V1 | pppp3-{T}(V1), pppp21-{T}(V1,V0)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #49: input, references = 3, size of lhs = 1:
% 0.60/0.85 pppp21-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V0,V2,V1)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #50: input, references = 3, size of lhs = 1:
% 0.60/0.85 pppp12-{F}(V0,V1,V2) | member-{T}(V1,V0)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #51: input, references = 3, size of lhs = 1:
% 0.60/0.85 pppp12-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #52: input, references = 3, size of lhs = 3:
% 0.60/0.85 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), relation_like-{F}(V1) | pppp4-{T}(V1)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #53: input, references = 3, size of lhs = 3:
% 0.60/0.85 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), pppp4-{F}(V1) | relation_like-{T}(V1)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #54: input, references = 3, size of lhs = 4:
% 0.60/0.85 P_set_type-{F}(V0), pppp4-{F}(V1), ilf_type-{F}(V2,V0), member-{F}(V2,V1) | EXISTS V3: pppp14-{T}(V2,V3,V0)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #55: input, references = 3, size of lhs = 2:
% 0.60/0.85 P_set_type-{F}(V0), #-{F} V1 | pppp4-{T}(V1), pppp22-{T}(V1,V0)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #56: input, references = 3, size of lhs = 1:
% 0.60/0.85 pppp22-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V2,V1)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #57: input, references = 3, size of lhs = 4:
% 0.60/0.85 pppp15-{F}(V0,V5,V2), ilf_type-{F}(V3,V2), P_ordered_pair-{F}(V3,V4,V5), ilf_type-{F}(V4,V2) | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #58: input, references = 3, size of lhs = 1:
% 0.60/0.85 pppp15-{F}(V0,V1,V2) | member-{T}(V1,V0)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #59: input, references = 3, size of lhs = 1:
% 0.60/0.85 pppp15-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #60: input, references = 3, size of lhs = 1:
% 0.60/0.85 pppp14-{F}(V0,V1,V2) | EXISTS V3: pppp13-{T}(V0,V1,V3,V2)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #61: input, references = 3, size of lhs = 1:
% 0.60/0.85 pppp14-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #62: input, references = 3, size of lhs = 3:
% 0.60/0.85 pppp13-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4), V0 == V4 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #63: input, references = 3, size of lhs = 2:
% 0.60/0.85 pppp13-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4) | ilf_type-{T}(V2,V3)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #64: input, references = 3, size of lhs = 3:
% 0.60/0.85 P_set_type-{F}(V0), empty-{F}(V1), ilf_type-{F}(V1,V0) | relation_like-{T}(V1)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #65: input, references = 3, size of lhs = 6:
% 0.60/0.85 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)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #66: input, references = 5, size of lhs = 2:
% 0.60/0.85 P_set_type-{F}(V0), #-{F} V1 | ilf_type-{T}(V1,V0)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #67: input, references = 4, size of lhs = 1:
% 0.60/0.85 P_set_type-{F}(V0) | EXISTS V1: pppp17-{T}(V1,V0)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #68: input, references = 4, size of lhs = 1:
% 0.60/0.85 pppp17-{F}(V0,V1) | EXISTS V2: pppp16-{T}(V0,V2,V1)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #69: input, references = 4, size of lhs = 1:
% 0.60/0.85 pppp17-{F}(V0,V1) | ilf_type-{T}(V0,V1)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #70: input, references = 4, size of lhs = 4:
% 0.60/0.85 pppp16-{F}(V0,V1,V2), P_cross_product-{F}(V0,V1,V3), P_relation_type-{F}(V0,V1,V4), ilf_type-{F}(V3,V4) | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #71: input, references = 3, size of lhs = 3:
% 0.60/0.85 pppp16-{F}(V0,V1,V2), P_cross_product-{F}(V0,V1,V3), P_relation_type-{F}(V0,V1,V4) | ilf_type-{T}(V1,V2)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #72: input, references = 4, size of lhs = 0:
% 0.60/0.85 FALSE | EXISTS V0: P_set_type-{T}(V0)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #73: input, references = 4, size of lhs = 2:
% 0.60/0.85 #-{F} V0, #-{F} V1 | EXISTS V2: P_cross_product-{T}(V0,V1,V2)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #74: input, references = 4, size of lhs = 2:
% 0.60/0.85 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_type-{T}(V0,V1,V2)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #75: input, references = 3, size of lhs = 2:
% 0.60/0.85 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #76: input, references = 3, size of lhs = 1:
% 0.60/0.85 #-{F} V0 | EXISTS V1: P_subset_type-{T}(V0,V1)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #77: input, references = 3, size of lhs = 1:
% 0.60/0.85 #-{F} V0 | EXISTS V1: P_member_type-{T}(V0,V1)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #78: input, references = 3, size of lhs = 1:
% 0.60/0.85 #-{F} V0 | EXISTS V1: P_power_set-{T}(V0,V1)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 number of initial rules = 79
% 0.60/0.85
% 0.60/0.85 Simplifiers:
% 0.60/0.85 #79: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 P_set_type-{F}(V0), P_set_type-{F}(V1), V0 == V1 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #80: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 P_cross_product-{F}(V0,V1,V2), P_cross_product-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #81: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 P_relation_type-{F}(V0,V1,V2), P_relation_type-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #82: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #83: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 P_subset_type-{F}(V0,V1), P_subset_type-{F}(V0,V3), V1 == V3 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #84: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 P_member_type-{F}(V0,V1), P_member_type-{F}(V0,V3), V1 == V3 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #85: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 P_power_set-{F}(V0,V1), P_power_set-{F}(V0,V3), V1 == V3 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #86: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 pppp5-{F}(V0,V1,V2,V3,V4), pppp5-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #87: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 pppp5-{F}(V0,V1,V2,V3,V4), pppp5-{F}(V5,V6,V7,V8,V9), V4 == V9 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #88: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 pppp6-{F}(V0,V1,V2,V3,V4), pppp6-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #89: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 pppp6-{F}(V0,V1,V2,V3,V4), pppp6-{F}(V5,V6,V7,V8,V9), V4 == V9 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #90: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #91: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #92: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #93: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #94: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #95: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #96: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 pppp11-{F}(V0,V1), pppp11-{F}(V0,V3), V1 == V3 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #97: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 pppp12-{F}(V0,V1,V2), pppp12-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #98: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #99: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #100: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V0,V5,V6,V3), V1 == V5 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #101: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #102: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 pppp14-{F}(V0,V1,V2), pppp14-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #103: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #104: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #105: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 pppp15-{F}(V0,V1,V2), pppp15-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #106: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 pppp16-{F}(V0,V1,V2), pppp16-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #107: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 pppp16-{F}(V0,V1,V2), pppp16-{F}(V3,V4,V2), V0 == V3 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #108: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 pppp16-{F}(V0,V1,V2), pppp16-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #109: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 pppp17-{F}(V0,V1), pppp17-{F}(V2,V1), V0 == V2 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #110: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 pppp17-{F}(V0,V1), pppp17-{F}(V2,V3), V1 == V3 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #111: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 pppp18-{F}(V0,V1,V2), pppp18-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #112: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 pppp19-{F}(V0,V1,V2), pppp19-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #113: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 pppp21-{F}(V0,V1), pppp21-{F}(V2,V3), V1 == V3 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #114: unsound, references = 3, size of lhs = 3:
% 0.60/0.85 pppp22-{F}(V0,V1), pppp22-{F}(V2,V3), V1 == V3 | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 number of simplifiers = 36
% 0.60/0.85
% 0.60/0.85 Learnt:
% 0.60/0.85 #117: mergings( V0 == V3; #115 ), references = 1, size of lhs = 5:
% 0.60/0.85 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) | pppp20-{T}(V3)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #122: mergings( V0 == V2, V2 == V3; #119 ), references = 1, size of lhs = 4:
% 0.60/0.85 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V1,V2), ilf_type-{F}(V2,V0) | pppp21-{T}(V2,V0)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #127: exists( #25, #125 ), references = 1, size of lhs = 3:
% 0.60/0.85 P_set_type-{F}(V0), pppp2-{F}(V1,V2), pppp18-{F}(V1,V2,V0) | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #138: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11; #132 ), references = 1, size of lhs = 11:
% 0.60/0.85 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_ordered_pair-{F}(V3,V3,V4), ilf_type-{F}(V4,V0), P_cross_product-{F}(V2,V2,V5), ilf_type-{F}(V6,V0), P_power_set-{F}(V6,V5), pppp18-{F}(V4,V6,V0) | pppp19-{T}(V3,V1,V0)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #145: mergings( V0 == V4; #143 ), references = 1, size of lhs = 7:
% 0.60/0.85 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)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #147: disj( #24, exists( #25, #125 ) ), references = 1, size of lhs = 2:
% 0.60/0.85 P_set_type-{F}(V0), pppp2-{F}(V1,V2) | pppp1-{T}(V1,V2)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #150: mergings( V0 == V2; #148 ), references = 1, size of lhs = 3:
% 0.60/0.85 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2) | pppp21-{T}(V2,V0)
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #154: mergings( V4 == V5; #152 ), references = 2, size of lhs = 7:
% 0.60/0.85 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), subset-{F}(V3,V3), pppp16-{F}(V1,V2,V4) | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #158: exists( #73, #156 ), references = 1, size of lhs = 4:
% 0.60/0.85 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), pppp16-{F}(V1,V2,V3) | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #161: exists( #68, #159 ), references = 2, size of lhs = 3:
% 0.60/0.85 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), pppp17-{F}(V1,V2) | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #164: exists( #67, #162 ), references = 1, size of lhs = 1:
% 0.60/0.85 P_set_type-{F}(V0) | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 #166: exists( #72, #163 ), references = 1, size of lhs = 0:
% 0.60/0.85 FALSE | FALSE
% 0.60/0.85 (used 0 times, uses = {})
% 0.60/0.85
% 0.60/0.85 number of learnt formulas = 12
% 0.60/0.85
% 0.60/0.85
% 0.60/0.85 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.85
% 0.60/0.85 randbase = 1
%------------------------------------------------------------------------------