TSTP Solution File: SET676+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET676+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n006.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 0.20s 0.44s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET676+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Jul 23 02:05:02 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.44 GeoParameters:
% 0.20/0.44
% 0.20/0.44 tptp_input = 1
% 0.20/0.44 tptp_output = 0
% 0.20/0.44 nonempty = 1
% 0.20/0.44 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.44 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.44 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.44
% 0.20/0.44 RuleSystem INPUT:
% 0.20/0.44
% 0.20/0.44 Initial Rules:
% 0.20/0.44 #0: input, references = 4, size of lhs = 5:
% 0.20/0.44 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_cross_product-{F}(V1,V2,V3), P_relation_type-{F}(V1,V2,V4), ilf_type-{F}(V2,V0) | ilf_type-{T}(V3,V4)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #1: input, references = 3, size of lhs = 6:
% 0.20/0.44 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)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #2: input, references = 3, size of lhs = 6:
% 0.20/0.44 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)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #3: input, references = 3, size of lhs = 2:
% 0.20/0.44 P_set_type-{F}(V0), pppp0-{F}(V1,V2,V3) | EXISTS V4: pppp5-{T}(V1,V2,V3,V4,V0)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #4: input, references = 3, size of lhs = 6:
% 0.20/0.44 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)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #5: input, references = 3, size of lhs = 1:
% 0.20/0.44 pppp5-{F}(V0,V1,V2,V3,V4) | EXISTS V5: pppp4-{T}(V1,V2,V3,V5,V4)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #6: input, references = 3, size of lhs = 1:
% 0.20/0.44 pppp5-{F}(V0,V1,V2,V3,V4) | member-{T}(V3,V0)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #7: input, references = 3, size of lhs = 1:
% 0.20/0.44 pppp5-{F}(V0,V1,V2,V3,V4) | ilf_type-{T}(V3,V4)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #8: input, references = 3, size of lhs = 3:
% 0.20/0.44 pppp4-{F}(V0,V1,V2,V3,V4), P_ordered_pair-{F}(V2,V3,V5), V1 == V5 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #9: input, references = 3, size of lhs = 2:
% 0.20/0.44 pppp4-{F}(V0,V1,V2,V3,V4), P_ordered_pair-{F}(V2,V3,V5) | member-{T}(V3,V0)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #10: input, references = 3, size of lhs = 2:
% 0.20/0.44 pppp4-{F}(V0,V1,V2,V3,V4), P_ordered_pair-{F}(V2,V3,V5) | ilf_type-{T}(V3,V4)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #11: input, references = 3, size of lhs = 4:
% 0.20/0.44 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)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #12: input, references = 4, size of lhs = 6:
% 0.20/0.44 P_set_type-{F}(V0), P_identity_relation_of_type-{F}(V1,V2), P_relation_type-{F}(V1,V1,V3), ilf_type-{F}(V1,V0), ilf_type-{F}(V4,V0), ilf_type-{F}(V4,V2) | ilf_type-{T}(V4,V3)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #13: input, references = 4, size of lhs = 6:
% 0.20/0.44 P_set_type-{F}(V0), P_identity_relation_of_type-{F}(V1,V2), P_relation_type-{F}(V1,V1,V3), ilf_type-{F}(V1,V0), ilf_type-{F}(V4,V0), ilf_type-{F}(V4,V3) | ilf_type-{T}(V4,V2)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #14: input, references = 3, size of lhs = 3:
% 0.20/0.44 P_set_type-{F}(V0), P_identity_relation_of_type-{F}(V1,V2), ilf_type-{F}(V1,V0) | EXISTS V3: pppp6-{T}(V2,V3)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #15: input, references = 3, size of lhs = 1:
% 0.20/0.44 pppp6-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #16: input, references = 3, size of lhs = 4:
% 0.20/0.44 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)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #17: input, references = 3, size of lhs = 7:
% 0.20/0.44 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)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #18: input, references = 3, size of lhs = 7:
% 0.20/0.44 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)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #19: input, references = 3, size of lhs = 4:
% 0.20/0.44 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)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #20: input, references = 3, size of lhs = 1:
% 0.20/0.44 pppp7-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #21: input, references = 3, size of lhs = 7:
% 0.20/0.44 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)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #22: input, references = 3, size of lhs = 7:
% 0.20/0.44 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)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #23: input, references = 3, size of lhs = 3:
% 0.20/0.44 P_set_type-{F}(V0), P_subset_type-{F}(V1,V2), ilf_type-{F}(V1,V0) | EXISTS V3: pppp8-{T}(V2,V3)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #24: input, references = 3, size of lhs = 1:
% 0.20/0.44 pppp8-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #25: input, references = 3, size of lhs = 5:
% 0.20/0.44 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) | pppp1-{T}(V1,V2)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #26: input, references = 3, size of lhs = 5:
% 0.20/0.44 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V2,V3), ilf_type-{F}(V2,V0), pppp1-{F}(V1,V2) | member-{T}(V1,V3)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #27: input, references = 3, size of lhs = 4:
% 0.20/0.44 P_set_type-{F}(V0), pppp1-{F}(V1,V2), ilf_type-{F}(V3,V0), member-{F}(V3,V1) | member-{T}(V3,V2)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #28: input, references = 3, size of lhs = 3:
% 0.20/0.44 P_set_type-{F}(V0), #-{F} V1, #-{F} V2 | pppp1-{T}(V1,V2), pppp16-{T}(V1,V2,V0)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #29: input, references = 3, size of lhs = 1:
% 0.20/0.44 pppp16-{F}(V0,V1,V2) | EXISTS V3: pppp9-{T}(V0,V1,V3,V2)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #30: input, references = 3, size of lhs = 2:
% 0.20/0.44 pppp9-{F}(V0,V1,V2,V3), member-{F}(V2,V1) | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #31: input, references = 3, size of lhs = 1:
% 0.20/0.44 pppp9-{F}(V0,V1,V2,V3) | member-{T}(V2,V0)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #32: input, references = 3, size of lhs = 1:
% 0.20/0.44 pppp9-{F}(V0,V1,V2,V3) | ilf_type-{T}(V2,V3)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #33: input, references = 3, size of lhs = 4:
% 0.20/0.44 P_set_type-{F}(V0), P_power_set-{F}(V1,V2), ilf_type-{F}(V1,V0), empty-{F}(V2) | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #34: input, references = 3, size of lhs = 3:
% 0.20/0.44 P_set_type-{F}(V0), P_power_set-{F}(V1,V2), ilf_type-{F}(V1,V0) | ilf_type-{T}(V2,V0)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #35: input, references = 3, size of lhs = 5:
% 0.20/0.44 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)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #36: input, references = 3, size of lhs = 5:
% 0.20/0.44 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)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #37: input, references = 3, size of lhs = 3:
% 0.20/0.44 P_set_type-{F}(V0), P_member_type-{F}(V1,V2), ilf_type-{F}(V1,V0) | empty-{T}(V1), pppp17-{T}(V2)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #38: input, references = 3, size of lhs = 1:
% 0.20/0.44 pppp17-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #39: input, references = 3, size of lhs = 1:
% 0.20/0.44 pppp10-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #40: input, references = 3, size of lhs = 3:
% 0.20/0.44 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), empty-{F}(V1) | pppp2-{T}(V1)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #41: input, references = 3, size of lhs = 3:
% 0.20/0.44 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), pppp2-{F}(V1) | empty-{T}(V1)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #42: input, references = 3, size of lhs = 4:
% 0.20/0.44 P_set_type-{F}(V0), pppp2-{F}(V1), ilf_type-{F}(V2,V0), member-{F}(V2,V1) | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #43: input, references = 3, size of lhs = 2:
% 0.20/0.44 P_set_type-{F}(V0), #-{F} V1 | pppp2-{T}(V1), pppp18-{T}(V1,V0)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #44: input, references = 3, size of lhs = 1:
% 0.20/0.44 pppp18-{F}(V0,V1) | EXISTS V2: pppp11-{T}(V0,V2,V1)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #45: input, references = 3, size of lhs = 1:
% 0.20/0.44 pppp11-{F}(V0,V1,V2) | member-{T}(V1,V0)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #46: input, references = 3, size of lhs = 1:
% 0.20/0.44 pppp11-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #47: input, references = 3, size of lhs = 3:
% 0.20/0.44 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), relation_like-{F}(V1) | pppp3-{T}(V1)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #48: input, references = 3, size of lhs = 3:
% 0.20/0.44 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), pppp3-{F}(V1) | relation_like-{T}(V1)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #49: input, references = 3, size of lhs = 4:
% 0.20/0.44 P_set_type-{F}(V0), pppp3-{F}(V1), ilf_type-{F}(V2,V0), member-{F}(V2,V1) | EXISTS V3: pppp13-{T}(V2,V3,V0)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #50: input, references = 3, size of lhs = 2:
% 0.20/0.44 P_set_type-{F}(V0), #-{F} V1 | pppp3-{T}(V1), pppp19-{T}(V1,V0)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #51: input, references = 3, size of lhs = 1:
% 0.20/0.44 pppp19-{F}(V0,V1) | EXISTS V2: pppp14-{T}(V0,V2,V1)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #52: input, references = 3, size of lhs = 4:
% 0.20/0.44 pppp14-{F}(V0,V5,V2), ilf_type-{F}(V3,V2), P_ordered_pair-{F}(V3,V4,V5), ilf_type-{F}(V4,V2) | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #53: input, references = 3, size of lhs = 1:
% 0.20/0.44 pppp14-{F}(V0,V1,V2) | member-{T}(V1,V0)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #54: input, references = 3, size of lhs = 1:
% 0.20/0.44 pppp14-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #55: input, references = 3, size of lhs = 1:
% 0.20/0.44 pppp13-{F}(V0,V1,V2) | EXISTS V3: pppp12-{T}(V0,V1,V3,V2)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #56: input, references = 3, size of lhs = 1:
% 0.20/0.44 pppp13-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #57: input, references = 3, size of lhs = 3:
% 0.20/0.44 pppp12-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4), V0 == V4 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #58: input, references = 3, size of lhs = 2:
% 0.20/0.44 pppp12-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4) | ilf_type-{T}(V2,V3)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #59: input, references = 3, size of lhs = 3:
% 0.20/0.44 P_set_type-{F}(V0), empty-{F}(V1), ilf_type-{F}(V1,V0) | relation_like-{T}(V1)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #60: input, references = 3, size of lhs = 6:
% 0.20/0.44 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)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #61: input, references = 6, size of lhs = 2:
% 0.20/0.44 P_set_type-{F}(V0), #-{F} V1 | ilf_type-{T}(V1,V0)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #62: input, references = 4, size of lhs = 1:
% 0.20/0.44 P_set_type-{F}(V0) | EXISTS V1: pppp15-{T}(V1,V0)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #63: input, references = 5, size of lhs = 4:
% 0.20/0.44 pppp15-{F}(V0,V1), P_cross_product-{F}(V0,V0,V2), P_identity_relation_of_type-{F}(V0,V3), ilf_type-{F}(V2,V3) | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #64: input, references = 3, size of lhs = 3:
% 0.20/0.44 pppp15-{F}(V0,V1), P_cross_product-{F}(V0,V0,V2), P_identity_relation_of_type-{F}(V0,V3) | ilf_type-{T}(V0,V1)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #65: input, references = 4, size of lhs = 0:
% 0.20/0.44 FALSE | EXISTS V0: P_set_type-{T}(V0)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #66: input, references = 5, size of lhs = 2:
% 0.20/0.44 #-{F} V0, #-{F} V1 | EXISTS V2: P_cross_product-{T}(V0,V1,V2)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #67: input, references = 4, size of lhs = 2:
% 0.20/0.44 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_type-{T}(V0,V1,V2)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #68: input, references = 3, size of lhs = 2:
% 0.20/0.44 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #69: input, references = 4, size of lhs = 1:
% 0.20/0.44 #-{F} V0 | EXISTS V1: P_identity_relation_of_type-{T}(V0,V1)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #70: input, references = 3, size of lhs = 1:
% 0.20/0.44 #-{F} V0 | EXISTS V1: P_subset_type-{T}(V0,V1)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #71: input, references = 3, size of lhs = 1:
% 0.20/0.44 #-{F} V0 | EXISTS V1: P_member_type-{T}(V0,V1)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #72: input, references = 3, size of lhs = 1:
% 0.20/0.44 #-{F} V0 | EXISTS V1: P_power_set-{T}(V0,V1)
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 number of initial rules = 73
% 0.20/0.44
% 0.20/0.44 Simplifiers:
% 0.20/0.44 #73: unsound, references = 3, size of lhs = 3:
% 0.20/0.44 P_set_type-{F}(V0), P_set_type-{F}(V1), V0 == V1 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #74: unsound, references = 3, size of lhs = 3:
% 0.20/0.44 P_cross_product-{F}(V0,V1,V2), P_cross_product-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #75: unsound, references = 3, size of lhs = 3:
% 0.20/0.44 P_relation_type-{F}(V0,V1,V2), P_relation_type-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #76: unsound, references = 3, size of lhs = 3:
% 0.20/0.44 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #77: unsound, references = 3, size of lhs = 3:
% 0.20/0.44 P_identity_relation_of_type-{F}(V0,V1), P_identity_relation_of_type-{F}(V0,V3), V1 == V3 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #78: unsound, references = 3, size of lhs = 3:
% 0.20/0.44 P_subset_type-{F}(V0,V1), P_subset_type-{F}(V0,V3), V1 == V3 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #79: unsound, references = 3, size of lhs = 3:
% 0.20/0.44 P_member_type-{F}(V0,V1), P_member_type-{F}(V0,V3), V1 == V3 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #80: unsound, references = 3, size of lhs = 3:
% 0.20/0.44 P_power_set-{F}(V0,V1), P_power_set-{F}(V0,V3), V1 == V3 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #81: unsound, references = 3, size of lhs = 3:
% 0.20/0.44 pppp4-{F}(V0,V1,V2,V3,V4), pppp4-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #82: unsound, references = 3, size of lhs = 3:
% 0.20/0.44 pppp4-{F}(V0,V1,V2,V3,V4), pppp4-{F}(V5,V6,V7,V8,V9), V4 == V9 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #83: unsound, references = 3, size of lhs = 3:
% 0.20/0.44 pppp5-{F}(V0,V1,V2,V3,V4), pppp5-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #84: unsound, references = 3, size of lhs = 3:
% 0.20/0.44 pppp5-{F}(V0,V1,V2,V3,V4), pppp5-{F}(V5,V6,V7,V8,V9), V4 == V9 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #85: unsound, references = 3, size of lhs = 3:
% 0.20/0.44 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #86: unsound, references = 3, size of lhs = 3:
% 0.20/0.44 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #87: unsound, references = 3, size of lhs = 3:
% 0.20/0.44 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #88: unsound, references = 3, size of lhs = 3:
% 0.20/0.44 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #89: unsound, references = 3, size of lhs = 3:
% 0.20/0.44 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #90: unsound, references = 3, size of lhs = 3:
% 0.20/0.44 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #91: unsound, references = 3, size of lhs = 3:
% 0.20/0.44 pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #92: unsound, references = 3, size of lhs = 3:
% 0.20/0.44 pppp11-{F}(V0,V1,V2), pppp11-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #93: unsound, references = 3, size of lhs = 3:
% 0.20/0.44 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #94: unsound, references = 3, size of lhs = 3:
% 0.20/0.44 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V3), V1 == V5 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #95: unsound, references = 3, size of lhs = 3:
% 0.20/0.44 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #96: unsound, references = 3, size of lhs = 3:
% 0.20/0.44 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #97: unsound, references = 3, size of lhs = 3:
% 0.20/0.44 pppp13-{F}(V0,V1,V2), pppp13-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #98: unsound, references = 3, size of lhs = 3:
% 0.20/0.44 pppp14-{F}(V0,V1,V2), pppp14-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #99: unsound, references = 3, size of lhs = 3:
% 0.20/0.44 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #100: unsound, references = 3, size of lhs = 3:
% 0.20/0.44 pppp15-{F}(V0,V1), pppp15-{F}(V2,V1), V0 == V2 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #101: unsound, references = 3, size of lhs = 3:
% 0.20/0.44 pppp15-{F}(V0,V1), pppp15-{F}(V2,V3), V1 == V3 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #102: unsound, references = 3, size of lhs = 3:
% 0.20/0.44 pppp16-{F}(V0,V1,V2), pppp16-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #103: unsound, references = 3, size of lhs = 3:
% 0.20/0.44 pppp18-{F}(V0,V1), pppp18-{F}(V2,V3), V1 == V3 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #104: unsound, references = 3, size of lhs = 3:
% 0.20/0.44 pppp19-{F}(V0,V1), pppp19-{F}(V2,V3), V1 == V3 | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 number of simplifiers = 32
% 0.20/0.44
% 0.20/0.44 Learnt:
% 0.20/0.44 #108: exists( #66, #106 ), references = 1, size of lhs = 6:
% 0.20/0.44 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_identity_relation_of_type-{F}(V1,V0), P_relation_type-{F}(V1,V1,V2), P_identity_relation_of_type-{F}(V3,V2), pppp15-{F}(V3,V4) | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #115: mergings( V2 == V4; #113 ), references = 2, size of lhs = 8:
% 0.20/0.44 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_cross_product-{F}(V1,V1,V2), ilf_type-{F}(V2,V0), P_identity_relation_of_type-{F}(V1,V3), P_identity_relation_of_type-{F}(V4,V3), P_cross_product-{F}(V4,V4,V2), pppp15-{F}(V4,V5) | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #118: exists( #66, #116 ), references = 1, size of lhs = 4:
% 0.20/0.44 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_identity_relation_of_type-{F}(V1,V2), pppp15-{F}(V1,V3) | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #120: exists( #69, #117 ), references = 2, size of lhs = 3:
% 0.20/0.44 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), pppp15-{F}(V1,V2) | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #124: mergings( V0 == V2; #122 ), references = 1, size of lhs = 1:
% 0.20/0.44 P_set_type-{F}(V0) | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 #126: exists( #65, #122 ), references = 1, size of lhs = 0:
% 0.20/0.44 FALSE | FALSE
% 0.20/0.44 (used 0 times, uses = {})
% 0.20/0.44
% 0.20/0.44 number of learnt formulas = 6
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.44
% 0.20/0.44 randbase = 1
%------------------------------------------------------------------------------