TSTP Solution File: SET654+3 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET654+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n021.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 06:16:33 EDT 2022
% Result : Theorem 2.08s 2.27s
% Output : Refutation 2.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET654+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n021.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 01:16:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.08/2.27 GeoParameters:
% 2.08/2.27
% 2.08/2.27 tptp_input = 1
% 2.08/2.27 tptp_output = 0
% 2.08/2.27 nonempty = 1
% 2.08/2.27 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.08/2.27 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.08/2.27
% 2.08/2.27
% 2.08/2.27 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.08/2.27 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.08/2.27
% 2.08/2.27 RuleSystem INPUT:
% 2.08/2.27
% 2.08/2.27 Initial Rules:
% 2.08/2.27 #0: input, references = 4, size of lhs = 6:
% 2.08/2.27 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)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #1: input, references = 3, size of lhs = 7:
% 2.08/2.27 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_relation_type-{F}(V1,V2,V3), ilf_type-{F}(V2,V0), P_domain_of-{F}(V4,V5), P_range_of-{F}(V4,V6), ilf_type-{F}(V4,V3) | subset-{T}(V5,V1)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #2: input, references = 4, size of lhs = 7:
% 2.08/2.27 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_relation_type-{F}(V1,V2,V3), ilf_type-{F}(V2,V0), P_domain_of-{F}(V4,V5), P_range_of-{F}(V4,V6), ilf_type-{F}(V4,V3) | subset-{T}(V6,V2)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #3: input, references = 4, size of lhs = 9:
% 2.08/2.27 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_relation_type-{F}(V3,V1,V4), P_relation_type-{F}(V3,V2,V5), ilf_type-{F}(V3,V0), P_range_of-{F}(V6,V7), ilf_type-{F}(V6,V4), subset-{F}(V7,V2) | ilf_type-{T}(V6,V5)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #4: input, references = 6, size of lhs = 7:
% 2.08/2.27 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)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #5: input, references = 4, size of lhs = 7:
% 2.08/2.27 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)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #6: input, references = 3, size of lhs = 4:
% 2.08/2.27 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_relation_type-{F}(V2,V1,V3), ilf_type-{F}(V2,V0) | EXISTS V4: pppp4-{T}(V3,V4)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #7: input, references = 3, size of lhs = 1:
% 2.08/2.27 pppp4-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #8: input, references = 3, size of lhs = 4:
% 2.08/2.27 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), subset-{F}(V1,V2) | pppp0-{T}(V1,V2)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #9: input, references = 3, size of lhs = 4:
% 2.08/2.27 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), pppp0-{F}(V1,V2) | subset-{T}(V1,V2)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #10: input, references = 3, size of lhs = 4:
% 2.08/2.27 P_set_type-{F}(V0), pppp0-{F}(V1,V2), ilf_type-{F}(V3,V0), member-{F}(V3,V1) | member-{T}(V3,V2)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #11: input, references = 3, size of lhs = 3:
% 2.08/2.27 P_set_type-{F}(V0), #-{F} V1, #-{F} V2 | pppp0-{T}(V1,V2), pppp17-{T}(V1,V2,V0)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #12: input, references = 3, size of lhs = 1:
% 2.08/2.27 pppp17-{F}(V0,V1,V2) | EXISTS V3: pppp5-{T}(V0,V1,V3,V2)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #13: input, references = 3, size of lhs = 2:
% 2.08/2.27 pppp5-{F}(V0,V1,V2,V3), member-{F}(V2,V1) | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #14: input, references = 3, size of lhs = 1:
% 2.08/2.27 pppp5-{F}(V0,V1,V2,V3) | member-{T}(V2,V0)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #15: input, references = 3, size of lhs = 1:
% 2.08/2.27 pppp5-{F}(V0,V1,V2,V3) | ilf_type-{T}(V2,V3)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #16: input, references = 3, size of lhs = 4:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), P_domain_of-{F}(V2,V3), ilf_type-{F}(V2,V1) | ilf_type-{T}(V3,V0)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #17: input, references = 3, size of lhs = 5:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), P_cross_product-{F}(V2,V3,V4), ilf_type-{F}(V3,V0) | ilf_type-{T}(V4,V0)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #18: input, references = 3, size of lhs = 4:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), P_range_of-{F}(V2,V3), ilf_type-{F}(V2,V1) | ilf_type-{T}(V3,V0)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #19: input, references = 3, size of lhs = 8:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), P_subset_type-{F}(V2,V3), P_power_set-{F}(V2,V4), P_member_type-{F}(V4,V5), ilf_type-{F}(V2,V0), ilf_type-{F}(V6,V0), ilf_type-{F}(V6,V3) | ilf_type-{T}(V6,V5)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #20: input, references = 10, size of lhs = 8:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), P_subset_type-{F}(V2,V3), P_power_set-{F}(V2,V4), P_member_type-{F}(V4,V5), ilf_type-{F}(V2,V0), ilf_type-{F}(V6,V0), ilf_type-{F}(V6,V5) | ilf_type-{T}(V6,V3)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #21: input, references = 3, size of lhs = 4:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), P_subset_type-{F}(V2,V3), ilf_type-{F}(V2,V0) | EXISTS V4: pppp6-{T}(V3,V4)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #22: input, references = 3, size of lhs = 1:
% 2.08/2.27 pppp6-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #23: input, references = 3, size of lhs = 3:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0) | subset-{T}(V2,V2)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #24: input, references = 3, size of lhs = 6:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), P_power_set-{F}(V3,V4), ilf_type-{F}(V3,V0), member-{F}(V2,V4) | pppp1-{T}(V2,V3)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #25: input, references = 3, size of lhs = 6:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), P_power_set-{F}(V3,V4), ilf_type-{F}(V3,V0), pppp1-{F}(V2,V3) | member-{T}(V2,V4)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #26: input, references = 3, size of lhs = 5:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp1-{F}(V2,V3), ilf_type-{F}(V4,V0), member-{F}(V4,V2) | member-{T}(V4,V3)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #27: input, references = 4, size of lhs = 4:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), #-{F} V2, #-{F} V3 | pppp1-{T}(V2,V3), pppp18-{T}(V2,V3,V0)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #28: input, references = 4, size of lhs = 1:
% 2.08/2.27 pppp18-{F}(V0,V1,V2) | EXISTS V3: pppp7-{T}(V0,V1,V3,V2)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #29: input, references = 4, size of lhs = 2:
% 2.08/2.27 pppp7-{F}(V0,V1,V2,V3), member-{F}(V2,V1) | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #30: input, references = 4, size of lhs = 1:
% 2.08/2.27 pppp7-{F}(V0,V1,V2,V3) | member-{T}(V2,V0)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #31: input, references = 3, size of lhs = 1:
% 2.08/2.27 pppp7-{F}(V0,V1,V2,V3) | ilf_type-{T}(V2,V3)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #32: input, references = 3, size of lhs = 5:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), P_power_set-{F}(V2,V3), ilf_type-{F}(V2,V0), empty-{F}(V3) | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #33: input, references = 3, size of lhs = 4:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), P_power_set-{F}(V2,V3), ilf_type-{F}(V2,V0) | ilf_type-{T}(V3,V0)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #34: input, references = 3, size of lhs = 6:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), P_member_type-{F}(V3,V4), ilf_type-{F}(V3,V0), ilf_type-{F}(V2,V4) | empty-{T}(V3), member-{T}(V2,V3)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #35: input, references = 3, size of lhs = 6:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), P_member_type-{F}(V3,V4), ilf_type-{F}(V3,V0), member-{F}(V2,V3) | empty-{T}(V3), ilf_type-{T}(V2,V4)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #36: input, references = 4, size of lhs = 4:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), P_member_type-{F}(V2,V3), ilf_type-{F}(V2,V0) | empty-{T}(V2), pppp19-{T}(V3)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #37: input, references = 3, size of lhs = 1:
% 2.08/2.27 pppp19-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #38: input, references = 3, size of lhs = 1:
% 2.08/2.27 pppp8-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #39: input, references = 4, size of lhs = 4:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), empty-{F}(V2) | pppp2-{T}(V2)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #40: input, references = 3, size of lhs = 4:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), pppp2-{F}(V2) | empty-{T}(V2)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #41: input, references = 4, size of lhs = 5:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp2-{F}(V2), ilf_type-{F}(V3,V0), member-{F}(V3,V2) | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #42: input, references = 4, size of lhs = 3:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), #-{F} V2 | pppp2-{T}(V2), pppp20-{T}(V2,V0)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #43: input, references = 3, size of lhs = 1:
% 2.08/2.27 pppp20-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V0,V2,V1)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #44: input, references = 3, size of lhs = 1:
% 2.08/2.27 pppp9-{F}(V0,V1,V2) | member-{T}(V1,V0)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #45: input, references = 3, size of lhs = 1:
% 2.08/2.27 pppp9-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #46: input, references = 3, size of lhs = 4:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), relation_like-{F}(V2) | pppp3-{T}(V2)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #47: input, references = 3, size of lhs = 4:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), pppp3-{F}(V2) | relation_like-{T}(V2)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #48: input, references = 3, size of lhs = 5:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), pppp3-{F}(V2), ilf_type-{F}(V3,V0), member-{F}(V3,V2) | EXISTS V4: pppp11-{T}(V3,V4,V0)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #49: input, references = 3, size of lhs = 3:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), #-{F} V2 | pppp3-{T}(V2), pppp21-{T}(V2,V0)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #50: input, references = 3, size of lhs = 1:
% 2.08/2.27 pppp21-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V0,V2,V1)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #51: input, references = 3, size of lhs = 4:
% 2.08/2.27 pppp12-{F}(V0,V5,V2), ilf_type-{F}(V3,V2), P_ordered_pair-{F}(V3,V4,V5), ilf_type-{F}(V4,V2) | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #52: input, references = 3, size of lhs = 1:
% 2.08/2.27 pppp12-{F}(V0,V1,V2) | member-{T}(V1,V0)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #53: input, references = 3, size of lhs = 1:
% 2.08/2.27 pppp12-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #54: input, references = 3, size of lhs = 1:
% 2.08/2.27 pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V0,V1,V3,V2)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #55: input, references = 3, size of lhs = 1:
% 2.08/2.27 pppp11-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #56: input, references = 4, size of lhs = 3:
% 2.08/2.27 pppp10-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4), V0 == V4 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #57: input, references = 3, size of lhs = 2:
% 2.08/2.27 pppp10-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4) | ilf_type-{T}(V2,V3)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #58: input, references = 3, size of lhs = 4:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), empty-{F}(V2), ilf_type-{F}(V2,V0) | relation_like-{T}(V2)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #59: input, references = 3, size of lhs = 7:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), P_cross_product-{F}(V2,V3,V4), P_subset_type-{F}(V4,V5), ilf_type-{F}(V3,V0), ilf_type-{F}(V6,V5) | relation_like-{T}(V6)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #60: input, references = 3, size of lhs = 5:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), P_ordered_pair-{F}(V2,V3,V4), ilf_type-{F}(V3,V0) | ilf_type-{T}(V4,V0)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #61: input, references = 5, size of lhs = 3:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), #-{F} V2 | ilf_type-{T}(V2,V0)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #62: input, references = 4, size of lhs = 2:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1) | EXISTS V2: pppp16-{T}(V2,V0)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #63: input, references = 4, size of lhs = 1:
% 2.08/2.27 pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V2,V1)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #64: input, references = 4, size of lhs = 1:
% 2.08/2.27 pppp16-{F}(V0,V1) | ilf_type-{T}(V0,V1)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #65: input, references = 5, size of lhs = 1:
% 2.08/2.27 pppp15-{F}(V0,V1,V2) | EXISTS V3: pppp14-{T}(V0,V1,V3,V2)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #66: input, references = 4, size of lhs = 1:
% 2.08/2.27 pppp15-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #67: input, references = 10, size of lhs = 3:
% 2.08/2.27 pppp14-{F}(V0,V1,V2,V3), P_relation_type-{F}(V2,V0,V4), P_relation_type-{F}(V2,V1,V5) | EXISTS V6: pppp13-{T}(V6,V4,V5)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #68: input, references = 4, size of lhs = 3:
% 2.08/2.27 pppp14-{F}(V0,V1,V2,V3), P_relation_type-{F}(V2,V0,V4), P_relation_type-{F}(V2,V1,V5) | subset-{T}(V0,V1)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #69: input, references = 3, size of lhs = 3:
% 2.08/2.27 pppp14-{F}(V0,V1,V2,V3), P_relation_type-{F}(V2,V0,V4), P_relation_type-{F}(V2,V1,V5) | ilf_type-{T}(V2,V3)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #70: input, references = 10, size of lhs = 2:
% 2.08/2.27 pppp13-{F}(V0,V1,V2), ilf_type-{F}(V0,V2) | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #71: input, references = 10, size of lhs = 1:
% 2.08/2.27 pppp13-{F}(V0,V1,V2) | ilf_type-{T}(V0,V1)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #72: input, references = 4, size of lhs = 0:
% 2.08/2.27 FALSE | EXISTS V0: P_set_type-{T}(V0)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #73: input, references = 6, size of lhs = 2:
% 2.08/2.27 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_type-{T}(V0,V1,V2)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #74: input, references = 4, size of lhs = 1:
% 2.08/2.27 #-{F} V0 | EXISTS V1: P_domain_of-{T}(V0,V1)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #75: input, references = 4, size of lhs = 1:
% 2.08/2.27 #-{F} V0 | EXISTS V1: P_range_of-{T}(V0,V1)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #76: input, references = 3, size of lhs = 1:
% 2.08/2.27 #-{F} V0 | EXISTS V1: P_subset_type-{T}(V0,V1)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #77: input, references = 3, size of lhs = 2:
% 2.08/2.27 #-{F} V0, #-{F} V1 | EXISTS V2: P_cross_product-{T}(V0,V1,V2)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #78: input, references = 4, size of lhs = 0:
% 2.08/2.27 FALSE | EXISTS V0: P_binary_relation_type-{T}(V0)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #79: input, references = 3, size of lhs = 1:
% 2.08/2.27 #-{F} V0 | EXISTS V1: P_member_type-{T}(V0,V1)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #80: input, references = 3, size of lhs = 1:
% 2.08/2.27 #-{F} V0 | EXISTS V1: P_power_set-{T}(V0,V1)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #81: input, references = 4, size of lhs = 2:
% 2.08/2.27 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 number of initial rules = 82
% 2.08/2.27
% 2.08/2.27 Simplifiers:
% 2.08/2.27 #82: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 P_set_type-{F}(V0), P_set_type-{F}(V1), V0 == V1 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #83: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 P_relation_type-{F}(V0,V1,V2), P_relation_type-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #84: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 P_domain_of-{F}(V0,V1), P_domain_of-{F}(V0,V3), V1 == V3 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #85: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 P_range_of-{F}(V0,V1), P_range_of-{F}(V0,V3), V1 == V3 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #86: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 P_subset_type-{F}(V0,V1), P_subset_type-{F}(V0,V3), V1 == V3 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #87: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 P_cross_product-{F}(V0,V1,V2), P_cross_product-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #88: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 P_binary_relation_type-{F}(V0), P_binary_relation_type-{F}(V1), V0 == V1 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #89: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 P_member_type-{F}(V0,V1), P_member_type-{F}(V0,V3), V1 == V3 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #90: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 P_power_set-{F}(V0,V1), P_power_set-{F}(V0,V3), V1 == V3 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #91: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #92: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #93: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #94: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #95: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #96: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #97: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #98: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #99: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V2), V1 == V4 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #100: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 pppp9-{F}(V0,V1,V2), pppp9-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #101: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #102: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V5,V6,V3), V1 == V5 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #103: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #104: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V4,V2), V1 == V4 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #105: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 pppp11-{F}(V0,V1,V2), pppp11-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #106: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 pppp12-{F}(V0,V1,V2), pppp12-{F}(V0,V4,V2), V1 == V4 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #107: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #108: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 pppp13-{F}(V0,V1,V2), pppp13-{F}(V3,V1,V2), V0 == V3 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #109: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #110: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V0,V5,V6,V3), V1 == V5 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #111: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V4,V5,V6,V3), V0 == V4 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #112: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #113: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V2), V1 == V4 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #114: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 pppp15-{F}(V0,V1,V2), pppp15-{F}(V3,V4,V2), V0 == V3 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #115: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 pppp15-{F}(V0,V1,V2), pppp15-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #116: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 pppp16-{F}(V0,V1), pppp16-{F}(V2,V1), V0 == V2 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #117: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 pppp16-{F}(V0,V1), pppp16-{F}(V2,V3), V1 == V3 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #118: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 pppp17-{F}(V0,V1,V2), pppp17-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #119: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 pppp18-{F}(V0,V1,V2), pppp18-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #120: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 pppp20-{F}(V0,V1), pppp20-{F}(V2,V3), V1 == V3 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #121: unsound, references = 3, size of lhs = 3:
% 2.08/2.27 pppp21-{F}(V0,V1), pppp21-{F}(V2,V3), V1 == V3 | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 number of simplifiers = 40
% 2.08/2.27
% 2.08/2.27 Learnt:
% 2.08/2.27 #124: exists( #28, #122 ), references = 1, size of lhs = 1:
% 2.08/2.27 pppp18-{F}(V0,V0,V1) | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #126: disj( #27, exists( #28, #122 ) ), references = 1, size of lhs = 3:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), #-{F} V2 | pppp1-{T}(V2,V2)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #130: mergings( V0 == V3, V1 == V4; #127 ), references = 1, size of lhs = 4:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), member-{F}(V2,V3) | pppp20-{T}(V3,V0)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #137: mergings( V0 == V4, V4 == V6, V1 == V5, V5 == V7; #132 ), references = 1, size of lhs = 6:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), member-{F}(V2,V3), ilf_type-{F}(V3,V0), P_member_type-{F}(V3,V4) | pppp19-{T}(V4)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #140: exists( #67, #138 ), references = 1, size of lhs = 3:
% 2.08/2.27 P_relation_type-{F}(V0,V1,V2), P_relation_type-{F}(V0,V3,V2), pppp14-{F}(V1,V3,V0,V4) | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #142: exists( #73, #139 ), references = 1, size of lhs = 1:
% 2.08/2.27 pppp14-{F}(V0,V0,V1,V2) | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #144: exists( #65, #141 ), references = 1, size of lhs = 1:
% 2.08/2.27 pppp15-{F}(V0,V0,V1) | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #146: exists( #81, #56 ), references = 1, size of lhs = 1:
% 2.08/2.27 pppp10-{F}(V0,V1,V2,V3) | P_ordered_pair-{T}(V1,V2,V0)
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #150: exists( #67, #148 ), references = 1, size of lhs = 9:
% 2.08/2.27 P_set_type-{F}(V0), P_binary_relation_type-{F}(V1), ilf_type-{F}(V2,V0), P_subset_type-{F}(V2,V3), P_power_set-{F}(V2,V4), P_member_type-{F}(V4,V0), P_relation_type-{F}(V5,V6,V0), P_relation_type-{F}(V5,V7,V3), pppp14-{F}(V6,V7,V5,V8) | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #156: mergings( V4 == V11; #154 ), references = 1, size of lhs = 14:
% 2.08/2.27 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_subset_type-{F}(V2,V3), P_power_set-{F}(V2,V4), P_member_type-{F}(V4,V1), ilf_type-{F}(V5,V1), ilf_type-{F}(V6,V1), P_cross_product-{F}(V5,V6,V7), P_subset_type-{F}(V7,V3), P_relation_type-{F}(V5,V6,V8), P_relation_type-{F}(V9,V10,V1), P_relation_type-{F}(V9,V11,V8), pppp14-{F}(V10,V11,V9,V12) | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #162: mergings( V7 == V11; #160 ), references = 1, size of lhs = 13:
% 2.08/2.27 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_subset_type-{F}(V1,V2), P_power_set-{F}(V1,V3), P_member_type-{F}(V3,V0), P_binary_relation_type-{F}(V4), ilf_type-{F}(V5,V0), P_subset_type-{F}(V5,V6), P_power_set-{F}(V5,V7), P_member_type-{F}(V7,V2), P_relation_type-{F}(V8,V9,V0), P_relation_type-{F}(V8,V10,V6), pppp14-{F}(V9,V10,V8,V11) | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #170: mergings( V8 == V4, V7 == V16; #167 ), references = 1, size of lhs = 18:
% 2.08/2.27 P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V1,V2,V3), P_subset_type-{F}(V3,V4), P_subset_type-{F}(V5,V4), ilf_type-{F}(V5,V0), P_power_set-{F}(V5,V6), P_member_type-{F}(V6,V0), P_relation_type-{F}(V1,V2,V7), P_binary_relation_type-{F}(V8), ilf_type-{F}(V9,V0), P_subset_type-{F}(V9,V10), P_power_set-{F}(V9,V11), P_member_type-{F}(V11,V7), P_relation_type-{F}(V12,V13,V0), P_relation_type-{F}(V12,V14,V10), pppp14-{F}(V13,V14,V12,V15) | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #178: mergings( V4 == V11, V11 == V16; #175 ), references = 1, size of lhs = 19:
% 2.08/2.27 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), P_subset_type-{F}(V2,V3), P_power_set-{F}(V2,V4), P_member_type-{F}(V4,V1), ilf_type-{F}(V5,V1), ilf_type-{F}(V6,V1), P_cross_product-{F}(V5,V6,V7), P_subset_type-{F}(V7,V3), P_relation_type-{F}(V5,V6,V8), ilf_type-{F}(V9,V1), ilf_type-{F}(V10,V1), P_relation_type-{F}(V9,V10,V8), P_cross_product-{F}(V9,V10,V11), P_subset_type-{F}(V11,V12), P_relation_type-{F}(V13,V14,V1), P_relation_type-{F}(V13,V15,V12), pppp14-{F}(V14,V15,V13,V16) | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #189: mergings( V3 == V8, V8 == V9; #186 ), references = 1, size of lhs = 15:
% 2.08/2.27 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), ilf_type-{F}(V3,V1), P_relation_type-{F}(V2,V3,V4), ilf_type-{F}(V5,V4), P_domain_of-{F}(V5,V6), ilf_type-{F}(V7,V1), ilf_type-{F}(V8,V1), P_relation_type-{F}(V8,V7,V9), ilf_type-{F}(V5,V9), subset-{F}(V3,V10), ilf_type-{F}(V10,V1), P_relation_type-{F}(V8,V10,V11), pppp13-{F}(V5,V12,V11) | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #193: mergings( V3 == V7, V7 == V8; #190 ), references = 2, size of lhs = 14:
% 2.08/2.27 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), ilf_type-{F}(V3,V1), P_relation_type-{F}(V2,V3,V4), ilf_type-{F}(V5,V4), ilf_type-{F}(V6,V1), ilf_type-{F}(V7,V1), P_relation_type-{F}(V7,V6,V8), ilf_type-{F}(V5,V8), subset-{F}(V3,V9), ilf_type-{F}(V9,V1), P_relation_type-{F}(V7,V9,V10), pppp13-{F}(V5,V11,V10) | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #196: exists( #67, #194 ), references = 1, size of lhs = 14:
% 2.08/2.27 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), ilf_type-{F}(V3,V1), P_relation_type-{F}(V2,V3,V4), ilf_type-{F}(V5,V1), ilf_type-{F}(V6,V1), P_relation_type-{F}(V6,V5,V4), subset-{F}(V3,V7), ilf_type-{F}(V7,V1), P_relation_type-{F}(V6,V7,V8), P_relation_type-{F}(V9,V10,V4), P_relation_type-{F}(V9,V11,V8), pppp14-{F}(V10,V11,V9,V12) | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #202: mergings( V9 == V12, V6 == V11, V10 == V7; #198 ), references = 2, size of lhs = 11:
% 2.08/2.27 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), ilf_type-{F}(V3,V1), P_relation_type-{F}(V2,V3,V4), ilf_type-{F}(V5,V1), ilf_type-{F}(V6,V1), P_relation_type-{F}(V6,V5,V4), P_relation_type-{F}(V6,V3,V4), ilf_type-{F}(V7,V1), pppp14-{F}(V3,V7,V6,V8) | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #205: exists( #73, #202 ), references = 2, size of lhs = 6:
% 2.08/2.27 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), ilf_type-{F}(V3,V1), ilf_type-{F}(V4,V1), pppp14-{F}(V2,V4,V3,V5) | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #209: mergings( V4 == V5; #207 ), references = 1, size of lhs = 5:
% 2.08/2.27 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), ilf_type-{F}(V2,V1), ilf_type-{F}(V3,V1), pppp15-{F}(V2,V3,V4) | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #213: mergings( V3 == V4; #211 ), references = 2, size of lhs = 4:
% 2.08/2.27 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1), pppp16-{F}(V2,V1), ilf_type-{F}(V2,V1) | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #217: mergings( V1 == V3; #215 ), references = 1, size of lhs = 2:
% 2.08/2.27 P_binary_relation_type-{F}(V0), P_set_type-{F}(V1) | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #219: exists( #78, #215 ), references = 1, size of lhs = 1:
% 2.08/2.27 P_set_type-{F}(V0) | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 #221: exists( #72, #218 ), references = 1, size of lhs = 0:
% 2.08/2.27 FALSE | FALSE
% 2.08/2.27 (used 0 times, uses = {})
% 2.08/2.27
% 2.08/2.27 number of learnt formulas = 23
% 2.08/2.27
% 2.08/2.27
% 2.08/2.27 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.08/2.27
% 2.08/2.27 randbase = 1
%------------------------------------------------------------------------------