TSTP Solution File: LAT313+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT313+1 : TPTP v8.1.0. Released v3.4.0.
% 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 06:08:19 EDT 2022
% Result : Theorem 2.38s 2.57s
% Output : Refutation 2.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT313+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 20:07:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.38/2.57 GeoParameters:
% 2.38/2.57
% 2.38/2.57 tptp_input = 1
% 2.38/2.57 tptp_output = 0
% 2.38/2.57 nonempty = 1
% 2.38/2.57 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.38/2.57 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.38/2.57
% 2.38/2.57
% 2.38/2.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.38/2.57 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.38/2.57
% 2.38/2.57 RuleSystem INPUT:
% 2.38/2.57
% 2.38/2.57 Initial Rules:
% 2.38/2.57 #0: input, references = 4, size of lhs = 0:
% 2.38/2.57 FALSE | EXISTS V0: pppp2-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #1: input, references = 8, size of lhs = 4:
% 2.38/2.57 pppp2-{F}(V0), P_k6_lattices-{F}(V0,V1), P_u1_struct_0-{F}(V0,V2), P_k17_filter_2-{F}(V0,V3) | pppp1-{T}(V0,V1,V2,V3)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #2: input, references = 5, size of lhs = 1:
% 2.38/2.57 pppp1-{F}(V0,V1,V2,V3) | EXISTS V4: pppp0-{T}(V0,V4,V1,V2,V3)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #3: input, references = 4, size of lhs = 1:
% 2.38/2.57 pppp1-{F}(V0,V1,V2,V3) | v14_lattices-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #4: input, references = 6, size of lhs = 1:
% 2.38/2.57 pppp1-{F}(V0,V1,V2,V3) | l3_lattices-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #5: input, references = 5, size of lhs = 1:
% 2.38/2.57 pppp1-{F}(V0,V1,V2,V3) | v10_lattices-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #6: input, references = 6, size of lhs = 2:
% 2.38/2.57 pppp1-{F}(V0,V1,V2,V3), v3_struct_0-{F}(V0) | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #7: input, references = 3, size of lhs = 2:
% 2.38/2.57 pppp0-{F}(V0,V3,V2,V3,V4), r1_filter_2-{F}(V3,V3,V4) | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #8: input, references = 7, size of lhs = 1:
% 2.38/2.57 pppp0-{F}(V0,V1,V2,V3,V4) | r2_hidden-{T}(V2,V1)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #9: input, references = 5, size of lhs = 1:
% 2.38/2.57 pppp0-{F}(V0,V1,V2,V3,V4) | m2_filter_2-{T}(V1,V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #10: input, references = 4, size of lhs = 2:
% 2.38/2.57 r2_hidden-{F}(V0,V1), r2_hidden-{F}(V1,V0) | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #11: input, references = 3, size of lhs = 1:
% 2.38/2.57 v1_xboole_0-{F}(V0) | v1_funct_1-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #12: input, references = 4, size of lhs = 2:
% 2.38/2.57 l3_lattices-{F}(V0), v10_lattices-{F}(V0) | v3_struct_0-{T}(V0), pppp3-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #13: input, references = 3, size of lhs = 1:
% 2.38/2.57 pppp3-{F}(V0) | v9_lattices-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #14: input, references = 3, size of lhs = 1:
% 2.38/2.57 pppp3-{F}(V0) | v8_lattices-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #15: input, references = 3, size of lhs = 1:
% 2.38/2.57 pppp3-{F}(V0) | v7_lattices-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #16: input, references = 3, size of lhs = 1:
% 2.38/2.57 pppp3-{F}(V0) | v6_lattices-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #17: input, references = 3, size of lhs = 1:
% 2.38/2.57 pppp3-{F}(V0) | v5_lattices-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #18: input, references = 3, size of lhs = 1:
% 2.38/2.57 pppp3-{F}(V0) | v4_lattices-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #19: input, references = 3, size of lhs = 2:
% 2.38/2.57 pppp3-{F}(V0), v3_struct_0-{F}(V0) | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #20: input, references = 3, size of lhs = 7:
% 2.38/2.57 l3_lattices-{F}(V0), v4_lattices-{F}(V0), v5_lattices-{F}(V0), v6_lattices-{F}(V0), v7_lattices-{F}(V0), v8_lattices-{F}(V0), v9_lattices-{F}(V0) | v3_struct_0-{T}(V0), v10_lattices-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #21: input, references = 4, size of lhs = 5:
% 2.38/2.57 P_k17_filter_2-{F}(V0,V1), P_u1_struct_0-{F}(V0,V2), v10_lattices-{F}(V0), l3_lattices-{F}(V0), V1 == V2 | v3_struct_0-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #22: input, references = 4, size of lhs = 3:
% 2.38/2.57 P_k17_filter_2-{F}(V0,V1), v10_lattices-{F}(V0), l3_lattices-{F}(V0) | v3_struct_0-{T}(V0), m2_filter_2-{T}(V1,V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #23: input, references = 4, size of lhs = 6:
% 2.38/2.57 P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), v10_lattices-{F}(V0), l3_lattices-{F}(V0), P_k19_filter_2-{F}(V0,V3,V4), m1_subset_1-{F}(V3,V2) | v3_struct_0-{T}(V0), v1_xboole_0-{T}(V3), m2_filter_2-{T}(V4,V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #24: input, references = 4, size of lhs = 3:
% 2.38/2.57 P_k6_lattices-{F}(V0,V1), P_u1_struct_0-{F}(V0,V2), l2_lattices-{F}(V0) | v3_struct_0-{T}(V0), m1_subset_1-{T}(V1,V2)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #25: input, references = 4, size of lhs = 1:
% 2.38/2.57 l1_lattices-{F}(V0) | l1_struct_0-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #26: input, references = 3, size of lhs = 1:
% 2.38/2.57 l2_lattices-{F}(V0) | l1_struct_0-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #27: input, references = 4, size of lhs = 1:
% 2.38/2.57 l3_lattices-{F}(V0) | l1_lattices-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #28: input, references = 3, size of lhs = 1:
% 2.38/2.57 l3_lattices-{F}(V0) | l2_lattices-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #29: input, references = 3, size of lhs = 4:
% 2.38/2.57 v10_lattices-{F}(V0), l3_lattices-{F}(V0), m2_filter_2-{F}(V1,V0), v1_xboole_0-{F}(V1) | v3_struct_0-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #30: input, references = 4, size of lhs = 3:
% 2.38/2.57 v10_lattices-{F}(V0), l3_lattices-{F}(V0), m2_filter_2-{F}(V1,V0) | v3_struct_0-{T}(V0), m2_lattice4-{T}(V1,V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #31: input, references = 4, size of lhs = 5:
% 2.38/2.57 P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), v10_lattices-{F}(V0), l3_lattices-{F}(V0), m2_lattice4-{F}(V3,V0) | v3_struct_0-{T}(V0), m1_subset_1-{T}(V3,V2)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #32: input, references = 3, size of lhs = 0:
% 2.38/2.57 FALSE | EXISTS V0: pppp4-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #33: input, references = 3, size of lhs = 1:
% 2.38/2.57 pppp4-{F}(V0) | l1_lattices-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #34: input, references = 3, size of lhs = 0:
% 2.38/2.57 FALSE | EXISTS V0: pppp5-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #35: input, references = 3, size of lhs = 1:
% 2.38/2.57 pppp5-{F}(V0) | l1_struct_0-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #36: input, references = 3, size of lhs = 0:
% 2.38/2.57 FALSE | EXISTS V0: pppp6-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #37: input, references = 3, size of lhs = 1:
% 2.38/2.57 pppp6-{F}(V0) | l2_lattices-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #38: input, references = 3, size of lhs = 0:
% 2.38/2.57 FALSE | EXISTS V0: pppp7-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #39: input, references = 3, size of lhs = 1:
% 2.38/2.57 pppp7-{F}(V0) | l3_lattices-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #40: input, references = 5, size of lhs = 1:
% 2.38/2.57 #-{F} V0 | EXISTS V1: pppp8-{T}(V0,V1)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #41: input, references = 5, size of lhs = 1:
% 2.38/2.57 pppp8-{F}(V0,V1) | m1_subset_1-{T}(V1,V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #42: input, references = 4, size of lhs = 2:
% 2.38/2.57 v10_lattices-{F}(V0), l3_lattices-{F}(V0) | v3_struct_0-{T}(V0), pppp18-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #43: input, references = 3, size of lhs = 1:
% 2.38/2.57 pppp18-{F}(V0) | EXISTS V1: pppp9-{T}(V0,V1)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #44: input, references = 3, size of lhs = 1:
% 2.38/2.57 pppp9-{F}(V0,V1) | m2_filter_2-{T}(V1,V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #45: input, references = 4, size of lhs = 2:
% 2.38/2.57 v10_lattices-{F}(V0), l3_lattices-{F}(V0) | v3_struct_0-{T}(V0), pppp19-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #46: input, references = 3, size of lhs = 1:
% 2.38/2.57 pppp19-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #47: input, references = 3, size of lhs = 1:
% 2.38/2.57 pppp10-{F}(V0,V1) | m2_lattice4-{T}(V1,V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #48: input, references = 5, size of lhs = 3:
% 2.38/2.57 P_u1_struct_0-{F}(V0,V1), l1_struct_0-{F}(V0), v1_xboole_0-{F}(V1) | v3_struct_0-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #49: input, references = 5, size of lhs = 2:
% 2.38/2.57 P_k1_zfmisc_1-{F}(V0,V1), v1_xboole_0-{F}(V1) | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #50: input, references = 5, size of lhs = 1:
% 2.38/2.57 P_k1_xboole_0-{F}(V0) | v1_xboole_0-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #51: input, references = 4, size of lhs = 3:
% 2.38/2.57 P_k1_xboole_0-{F}(V0), v10_lattices-{F}(V1), l3_lattices-{F}(V1) | v3_struct_0-{T}(V1), pppp20-{T}(V1)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #52: input, references = 3, size of lhs = 1:
% 2.38/2.57 pppp20-{F}(V0) | EXISTS V1: pppp11-{T}(V0,V1)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #53: input, references = 3, size of lhs = 2:
% 2.38/2.57 pppp11-{F}(V0,V1), v1_xboole_0-{F}(V1) | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #54: input, references = 3, size of lhs = 1:
% 2.38/2.57 pppp11-{F}(V0,V1) | m2_lattice4-{T}(V1,V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #55: input, references = 4, size of lhs = 2:
% 2.38/2.57 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2) | v1_xboole_0-{T}(V1), pppp21-{T}(V2)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #56: input, references = 3, size of lhs = 1:
% 2.38/2.57 pppp21-{F}(V0) | EXISTS V1: pppp12-{T}(V1,V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #57: input, references = 3, size of lhs = 2:
% 2.38/2.57 pppp12-{F}(V0,V1), v1_xboole_0-{F}(V0) | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #58: input, references = 3, size of lhs = 1:
% 2.38/2.57 pppp12-{F}(V0,V1) | m1_subset_1-{T}(V0,V1)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #59: input, references = 4, size of lhs = 1:
% 2.38/2.57 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #60: input, references = 4, size of lhs = 1:
% 2.38/2.57 pppp13-{F}(V0) | v1_xboole_0-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #61: input, references = 4, size of lhs = 2:
% 2.38/2.57 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2) | EXISTS V3: pppp14-{T}(V3,V2)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #62: input, references = 4, size of lhs = 1:
% 2.38/2.57 pppp14-{F}(V0,V1) | v1_xboole_0-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #63: input, references = 3, size of lhs = 1:
% 2.38/2.57 pppp14-{F}(V0,V1) | m1_subset_1-{T}(V0,V1)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #64: input, references = 3, size of lhs = 1:
% 2.38/2.57 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #65: input, references = 3, size of lhs = 2:
% 2.38/2.57 pppp15-{F}(V0), v1_xboole_0-{F}(V0) | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #66: input, references = 3, size of lhs = 1:
% 2.38/2.57 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp16-{T}(V1)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #67: input, references = 3, size of lhs = 2:
% 2.38/2.57 pppp16-{F}(V0), v3_struct_0-{F}(V0) | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #68: input, references = 3, size of lhs = 1:
% 2.38/2.57 pppp16-{F}(V0) | l1_struct_0-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #69: input, references = 4, size of lhs = 4:
% 2.38/2.57 P_k1_xboole_0-{F}(V0), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), l1_struct_0-{F}(V1) | v3_struct_0-{T}(V1), pppp22-{T}(V3)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #70: input, references = 3, size of lhs = 1:
% 2.38/2.57 pppp22-{F}(V0) | EXISTS V1: pppp17-{T}(V1,V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #71: input, references = 3, size of lhs = 2:
% 2.38/2.57 pppp17-{F}(V0,V1), v1_xboole_0-{F}(V0) | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #72: input, references = 3, size of lhs = 1:
% 2.38/2.57 pppp17-{F}(V0,V1) | m1_subset_1-{T}(V0,V1)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #73: input, references = 8, size of lhs = 6:
% 2.38/2.57 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), m1_subset_1-{F}(V3,V2), m1_subset_1-{F}(V4,V2), r1_filter_2-{F}(V1,V4,V3), V4 == V3 | v1_xboole_0-{T}(V1)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #74: input, references = 4, size of lhs = 3:
% 2.38/2.57 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), m1_subset_1-{F}(V3,V2) | v1_xboole_0-{T}(V1), r1_filter_2-{T}(V1,V3,V3)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #75: input, references = 3, size of lhs = 4:
% 2.38/2.57 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), m1_subset_1-{F}(V3,V2), m1_subset_1-{F}(V4,V2) | v1_xboole_0-{T}(V1), r1_filter_2-{T}(V1,V4,V4)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #76: input, references = 4, size of lhs = 2:
% 2.38/2.57 P_k1_xboole_0-{F}(V0), #-{F} V1 | r1_tarski-{T}(V1,V1)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #77: input, references = 3, size of lhs = 5:
% 2.38/2.57 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), m1_subset_1-{F}(V3,V2), m1_subset_1-{F}(V4,V2), r1_filter_2-{F}(V1,V4,V3) | v1_xboole_0-{T}(V1), r1_filter_2-{T}(V1,V3,V4)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #78: input, references = 3, size of lhs = 2:
% 2.38/2.57 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2) | m1_subset_1-{T}(V1,V2)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #79: input, references = 4, size of lhs = 2:
% 2.38/2.57 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V2,V1) | v1_xboole_0-{T}(V1), r2_hidden-{T}(V2,V1)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #80: input, references = 4, size of lhs = 6:
% 2.38/2.57 P_k1_xboole_0-{F}(V0), P_u1_struct_0-{F}(V1,V2), v10_lattices-{F}(V1), l3_lattices-{F}(V1), P_k19_filter_2-{F}(V1,V3,V4), m2_filter_2-{F}(V3,V1) | v3_struct_0-{T}(V1), r1_filter_2-{T}(V2,V4,V3)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #81: input, references = 3, size of lhs = 3:
% 2.38/2.57 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V2,V3), m1_subset_1-{F}(V1,V3) | r1_tarski-{T}(V1,V2)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #82: input, references = 5, size of lhs = 3:
% 2.38/2.57 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V2,V3), r1_tarski-{F}(V1,V2) | m1_subset_1-{T}(V1,V3)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #83: input, references = 4, size of lhs = 11:
% 2.38/2.57 P_k1_xboole_0-{F}(V0), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), P_k6_lattices-{F}(V1,V4), P_k17_filter_2-{F}(V1,V5), v10_lattices-{F}(V1), l3_lattices-{F}(V1), v14_lattices-{F}(V1), P_k19_filter_2-{F}(V1,V6,V7), m1_subset_1-{F}(V6,V3), r2_hidden-{F}(V4,V6) | v3_struct_0-{T}(V1), v1_xboole_0-{T}(V6), r1_filter_2-{T}(V2,V7,V5)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #84: input, references = 3, size of lhs = 12:
% 2.38/2.57 P_k1_xboole_0-{F}(V0), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), P_k6_lattices-{F}(V1,V4), P_k17_filter_2-{F}(V1,V5), v10_lattices-{F}(V1), l3_lattices-{F}(V1), v14_lattices-{F}(V1), P_k19_filter_2-{F}(V1,V6,V7), m1_subset_1-{F}(V6,V3), r2_hidden-{F}(V4,V6), V7 == V2 | v3_struct_0-{T}(V1), v1_xboole_0-{T}(V6)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #85: input, references = 3, size of lhs = 4:
% 2.38/2.57 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V2,V3), m1_subset_1-{F}(V1,V3), r2_hidden-{F}(V4,V1) | m1_subset_1-{T}(V4,V2)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #86: input, references = 4, size of lhs = 5:
% 2.38/2.57 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), v1_xboole_0-{F}(V1), m1_subset_1-{F}(V3,V2), r2_hidden-{F}(V4,V3) | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #87: input, references = 7, size of lhs = 3:
% 2.38/2.57 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V1 == V0 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #88: input, references = 8, size of lhs = 3:
% 2.38/2.57 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), r2_hidden-{F}(V2,V1) | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #89: input, references = 3, size of lhs = 4:
% 2.38/2.57 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), v1_xboole_0-{F}(V2), V2 == V1 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #90: input, references = 5, size of lhs = 1:
% 2.38/2.57 #-{F} V0 | EXISTS V1: P_k6_lattices-{T}(V0,V1)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #91: input, references = 4, size of lhs = 1:
% 2.38/2.57 #-{F} V0 | EXISTS V1: P_u1_struct_0-{T}(V0,V1)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #92: input, references = 4, size of lhs = 1:
% 2.38/2.57 #-{F} V0 | EXISTS V1: P_k17_filter_2-{T}(V0,V1)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #93: input, references = 5, size of lhs = 1:
% 2.38/2.57 #-{F} V0 | EXISTS V1: P_k1_zfmisc_1-{T}(V0,V1)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #94: input, references = 4, size of lhs = 2:
% 2.38/2.57 #-{F} V0, #-{F} V1 | EXISTS V2: P_k19_filter_2-{T}(V0,V1,V2)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #95: input, references = 5, size of lhs = 0:
% 2.38/2.57 FALSE | EXISTS V0: P_k1_xboole_0-{T}(V0)
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 number of initial rules = 96
% 2.38/2.57
% 2.38/2.57 Simplifiers:
% 2.38/2.57 #96: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 v10_lattices-{F}(V0), v10_lattices-{F}(V1), V0 == V1 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #97: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 m2_filter_2-{F}(V0,V1), m2_filter_2-{F}(V2,V3), V1 == V3 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #98: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 v14_lattices-{F}(V0), v14_lattices-{F}(V1), V0 == V1 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #99: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 v4_lattices-{F}(V0), v4_lattices-{F}(V1), V0 == V1 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #100: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 v5_lattices-{F}(V0), v5_lattices-{F}(V1), V0 == V1 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #101: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 v6_lattices-{F}(V0), v6_lattices-{F}(V1), V0 == V1 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #102: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 v7_lattices-{F}(V0), v7_lattices-{F}(V1), V0 == V1 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #103: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 v8_lattices-{F}(V0), v8_lattices-{F}(V1), V0 == V1 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #104: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 v9_lattices-{F}(V0), v9_lattices-{F}(V1), V0 == V1 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #105: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 m2_lattice4-{F}(V0,V1), m2_lattice4-{F}(V2,V3), V1 == V3 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #106: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 P_k6_lattices-{F}(V0,V1), P_k6_lattices-{F}(V0,V3), V1 == V3 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #107: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 P_u1_struct_0-{F}(V0,V1), P_u1_struct_0-{F}(V0,V3), V1 == V3 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #108: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 P_k17_filter_2-{F}(V0,V1), P_k17_filter_2-{F}(V0,V3), V1 == V3 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #109: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 P_k1_zfmisc_1-{F}(V0,V1), P_k1_zfmisc_1-{F}(V0,V3), V1 == V3 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #110: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 P_k19_filter_2-{F}(V0,V1,V2), P_k19_filter_2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #111: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 P_k1_xboole_0-{F}(V0), P_k1_xboole_0-{F}(V1), V0 == V1 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #112: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V0,V6,V2,V3,V4), V1 == V6 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #113: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #114: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V0,V6,V7,V8,V9), V2 == V7 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #115: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V0,V6,V7,V8,V9), V3 == V8 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #116: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #117: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #118: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V5,V6,V7), V1 == V5 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #119: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V5,V6,V7), V2 == V6 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #120: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #121: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #122: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #123: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #124: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #125: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #126: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #127: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #128: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #129: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 pppp9-{F}(V0,V1), pppp9-{F}(V2,V3), V0 == V2 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #130: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #131: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 pppp10-{F}(V0,V1), pppp10-{F}(V2,V3), V0 == V2 | FALSE
% 2.38/2.57 (used 0 times, uses = {})
% 2.38/2.57
% 2.38/2.57 #132: unsound, references = 3, size of lhs = 3:
% 2.38/2.57 pppp11-{F}(V0,V1), pppp11-{F}(V0,V3), V1 == V3 | FALSE
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #133: unsound, references = 3, size of lhs = 3:
% 2.38/2.58 pppp11-{F}(V0,V1), pppp11-{F}(V2,V3), V0 == V2 | FALSE
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #134: unsound, references = 3, size of lhs = 3:
% 2.38/2.58 pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #135: unsound, references = 3, size of lhs = 3:
% 2.38/2.58 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #136: unsound, references = 3, size of lhs = 3:
% 2.38/2.58 pppp14-{F}(V0,V1), pppp14-{F}(V2,V1), V0 == V2 | FALSE
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #137: unsound, references = 3, size of lhs = 3:
% 2.38/2.58 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #138: unsound, references = 3, size of lhs = 3:
% 2.38/2.58 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #139: unsound, references = 3, size of lhs = 3:
% 2.38/2.58 pppp17-{F}(V0,V1), pppp17-{F}(V2,V1), V0 == V2 | FALSE
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #140: unsound, references = 3, size of lhs = 3:
% 2.38/2.58 pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #141: unsound, references = 3, size of lhs = 3:
% 2.38/2.58 pppp19-{F}(V0), pppp19-{F}(V1), V0 == V1 | FALSE
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #142: unsound, references = 3, size of lhs = 3:
% 2.38/2.58 pppp20-{F}(V0), pppp20-{F}(V1), V0 == V1 | FALSE
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 number of simplifiers = 47
% 2.38/2.58
% 2.38/2.58 Learnt:
% 2.38/2.58 #149: mergings( V3 == V4; #147 ), references = 5, size of lhs = 3:
% 2.38/2.58 pppp2-{F}(V0), P_k6_lattices-{F}(V0,V1), P_u1_struct_0-{F}(V0,V2) | P_k17_filter_2-{T}(V0,V2)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #154: mergings( V0 == V3; #150 ), references = 3, size of lhs = 3:
% 2.38/2.58 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V1,V2), V2 == V0 | r2_hidden-{T}(V1,V2)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #157: mergings( V0 == V3, V2 == V3; #151 ), references = 1, size of lhs = 4:
% 2.38/2.58 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V0 == V1, m1_subset_1-{F}(V2,V0) | r2_hidden-{T}(V2,V0)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #159: mergings( V2 == V0; #152 ), references = 1, size of lhs = 3:
% 2.38/2.58 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V1,V0), P_k1_zfmisc_1-{F}(V2,V0) | r2_hidden-{T}(V1,V0)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #165: mergings( V0 == V2; #163 ), references = 1, size of lhs = 1:
% 2.38/2.58 P_k1_xboole_0-{F}(V0) | pppp13-{T}(V0)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #179: mergings( V2 == V3; #177 ), references = 2, size of lhs = 5:
% 2.38/2.58 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2), m1_subset_1-{F}(V3,V2), V3 == V0 | FALSE
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #194: mergings( V0 == V4; #192 ), references = 1, size of lhs = 2:
% 2.38/2.58 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2) | pppp14-{T}(V0,V2)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #199: disj( #24, #154+#10 ), references = 1, size of lhs = 6:
% 2.38/2.58 l2_lattices-{F}(V0), P_k6_lattices-{F}(V0,V1), P_u1_struct_0-{F}(V0,V2), r2_hidden-{F}(V2,V1), P_k1_xboole_0-{F}(V3), V2 == V3 | v3_struct_0-{T}(V0)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #215: exists( #40, #213 ), references = 1, size of lhs = 3:
% 2.38/2.58 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2) | pppp8-{T}(V2,V0)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #230: mergings( V0 == V3; #226 ), references = 1, size of lhs = 3:
% 2.38/2.58 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), V1 == V0 | pppp21-{T}(V2)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #233: mergings( V0 == V3, V1 == V3; #227 ), references = 1, size of lhs = 4:
% 2.38/2.58 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V0 == V1, P_k1_zfmisc_1-{F}(V0,V2) | pppp21-{T}(V2)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #237: mergings( V2 == V4, V0 == V3, V1 == V3; #228 ), references = 1, size of lhs = 4:
% 2.38/2.58 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), m1_subset_1-{F}(V2,V1), V2 == V0 | pppp21-{T}(V1)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #256: mergings( V0 == V4; #252 ), references = 3, size of lhs = 4:
% 2.38/2.58 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), V1 == V0, m1_subset_1-{F}(V3,V2) | r1_filter_2-{T}(V1,V3,V3)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #259: mergings( V0 == V4, V1 == V4; #253 ), references = 1, size of lhs = 5:
% 2.38/2.58 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V0 == V1, P_k1_zfmisc_1-{F}(V0,V2), m1_subset_1-{F}(V3,V2) | r1_filter_2-{T}(V0,V3,V3)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #263: mergings( V2 == V5, V0 == V4, V1 == V4; #254 ), references = 1, size of lhs = 5:
% 2.38/2.58 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), m1_subset_1-{F}(V2,V1), m1_subset_1-{F}(V3,V1), V3 == V0 | r1_filter_2-{T}(V0,V2,V2)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #281: disj( #12, input ), references = 1, size of lhs = 3:
% 2.38/2.58 l3_lattices-{F}(V0), v10_lattices-{F}(V0), pppp1-{F}(V0,V1,V2,V3) | pppp3-{T}(V0)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #282: disj( #12, input ), references = 1, size of lhs = 3:
% 2.38/2.58 l3_lattices-{F}(V0), v10_lattices-{F}(V0), pppp16-{F}(V0) | pppp3-{T}(V0)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #297: disj( #22, input ), references = 1, size of lhs = 4:
% 2.38/2.58 v10_lattices-{F}(V0), l3_lattices-{F}(V0), P_k17_filter_2-{F}(V0,V1), pppp1-{F}(V0,V2,V3,V4) | m2_filter_2-{T}(V1,V0)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #298: disj( #22, input ), references = 1, size of lhs = 4:
% 2.38/2.58 v10_lattices-{F}(V0), l3_lattices-{F}(V0), pppp3-{F}(V0), P_k17_filter_2-{F}(V0,V1) | m2_filter_2-{T}(V1,V0)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #319: disj( #51, input ), references = 1, size of lhs = 4:
% 2.38/2.58 P_k1_xboole_0-{F}(V0), v10_lattices-{F}(V1), l3_lattices-{F}(V1), pppp1-{F}(V1,V2,V3,V4) | pppp20-{T}(V1)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #320: disj( #51, input ), references = 1, size of lhs = 4:
% 2.38/2.58 P_k1_xboole_0-{F}(V0), v10_lattices-{F}(V1), l3_lattices-{F}(V1), pppp3-{F}(V1) | pppp20-{T}(V1)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #335: disj( #30, input ), references = 6, size of lhs = 4:
% 2.38/2.58 v10_lattices-{F}(V0), l3_lattices-{F}(V0), m2_filter_2-{F}(V1,V0), pppp1-{F}(V0,V2,V3,V4) | m2_lattice4-{T}(V1,V0)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #336: disj( #30, input ), references = 1, size of lhs = 4:
% 2.38/2.58 v10_lattices-{F}(V0), l3_lattices-{F}(V0), pppp3-{F}(V0), m2_filter_2-{F}(V1,V0) | m2_lattice4-{T}(V1,V0)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #360: disj( #23, input, input ), references = 4, size of lhs = 9:
% 2.38/2.58 v10_lattices-{F}(V0), l3_lattices-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), m1_subset_1-{F}(V3,V2), P_k19_filter_2-{F}(V0,V3,V4), P_k1_xboole_0-{F}(V5), V3 == V5, pppp1-{F}(V0,V6,V7,V8) | m2_filter_2-{T}(V4,V0)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #361: disj( #23, input, input ), references = 1, size of lhs = 9:
% 2.38/2.58 v10_lattices-{F}(V0), l3_lattices-{F}(V0), pppp3-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), m1_subset_1-{F}(V3,V2), P_k19_filter_2-{F}(V0,V3,V4), P_k1_xboole_0-{F}(V5), V3 == V5 | m2_filter_2-{T}(V4,V0)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #362: disj( #23, input, input ), references = 1, size of lhs = 10:
% 2.38/2.58 v10_lattices-{F}(V0), l3_lattices-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), m1_subset_1-{F}(V3,V2), P_k19_filter_2-{F}(V0,V3,V4), P_k1_xboole_0-{F}(V5), v1_xboole_0-{F}(V6), V3 == V6, pppp1-{F}(V0,V7,V8,V9) | m2_filter_2-{T}(V4,V0)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #365: disj( #45, input ), references = 1, size of lhs = 3:
% 2.38/2.58 v10_lattices-{F}(V0), l3_lattices-{F}(V0), pppp1-{F}(V0,V1,V2,V3) | pppp19-{T}(V0)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #366: disj( #45, input ), references = 1, size of lhs = 3:
% 2.38/2.58 v10_lattices-{F}(V0), l3_lattices-{F}(V0), pppp3-{F}(V0) | pppp19-{T}(V0)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #375: disj( #42, input ), references = 1, size of lhs = 3:
% 2.38/2.58 v10_lattices-{F}(V0), l3_lattices-{F}(V0), pppp1-{F}(V0,V1,V2,V3) | pppp18-{T}(V0)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #376: disj( #42, input ), references = 1, size of lhs = 3:
% 2.38/2.58 v10_lattices-{F}(V0), l3_lattices-{F}(V0), pppp3-{F}(V0) | pppp18-{T}(V0)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #412: disj( #80, input ), references = 4, size of lhs = 7:
% 2.38/2.58 P_k1_xboole_0-{F}(V0), v10_lattices-{F}(V1), l3_lattices-{F}(V1), P_u1_struct_0-{F}(V1,V2), m2_filter_2-{F}(V3,V1), P_k19_filter_2-{F}(V1,V3,V4), pppp1-{F}(V1,V5,V6,V7) | r1_filter_2-{T}(V2,V4,V3)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #413: disj( #80, input ), references = 1, size of lhs = 7:
% 2.38/2.58 P_k1_xboole_0-{F}(V0), v10_lattices-{F}(V1), l3_lattices-{F}(V1), pppp3-{F}(V1), P_u1_struct_0-{F}(V1,V2), m2_filter_2-{F}(V3,V1), P_k19_filter_2-{F}(V1,V3,V4) | r1_filter_2-{T}(V2,V4,V3)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #414: disj( #80, input ), references = 1, size of lhs = 7:
% 2.38/2.58 P_k1_xboole_0-{F}(V0), v10_lattices-{F}(V1), l3_lattices-{F}(V1), pppp16-{F}(V1), P_u1_struct_0-{F}(V1,V2), m2_filter_2-{F}(V3,V1), P_k19_filter_2-{F}(V1,V3,V4) | r1_filter_2-{T}(V2,V4,V3)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #441: disj( #31, input ), references = 6, size of lhs = 6:
% 2.38/2.58 v10_lattices-{F}(V0), l3_lattices-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), m2_lattice4-{F}(V3,V0), pppp1-{F}(V0,V4,V5,V6) | m1_subset_1-{T}(V3,V2)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #442: disj( #31, input ), references = 1, size of lhs = 6:
% 2.38/2.58 v10_lattices-{F}(V0), l3_lattices-{F}(V0), pppp3-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), m2_lattice4-{F}(V3,V0) | m1_subset_1-{T}(V3,V2)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #443: disj( #31, input ), references = 1, size of lhs = 6:
% 2.38/2.58 v10_lattices-{F}(V0), l3_lattices-{F}(V0), pppp16-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), m2_lattice4-{F}(V3,V0) | m1_subset_1-{T}(V3,V2)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #472: disj( #69, input ), references = 1, size of lhs = 5:
% 2.38/2.58 P_k1_xboole_0-{F}(V0), l1_struct_0-{F}(V1), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), pppp1-{F}(V1,V4,V5,V6) | pppp22-{T}(V3)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #473: disj( #69, input ), references = 1, size of lhs = 5:
% 2.38/2.58 P_k1_xboole_0-{F}(V0), l1_struct_0-{F}(V1), pppp3-{F}(V1), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3) | pppp22-{T}(V3)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #474: disj( #69, input ), references = 1, size of lhs = 5:
% 2.38/2.58 P_k1_xboole_0-{F}(V0), l1_struct_0-{F}(V1), pppp16-{F}(V1), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3) | pppp22-{T}(V3)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #514: mergings( V4 == V6, V6 == V8, V7 == V9, V3 == V5, V5 == V10, V12 == V15, V15 == V18, V18 == V21, V13 == V16, V16 == V19, V19 == V22, V14 == V17, V17 == V20, V20 == V23; #497 ), references = 2, size of lhs = 10:
% 2.38/2.58 v10_lattices-{F}(V0), l3_lattices-{F}(V0), m2_filter_2-{F}(V1,V0), P_u1_struct_0-{F}(V0,V2), P_k1_zfmisc_1-{F}(V2,V3), m1_subset_1-{F}(V1,V3), P_k1_xboole_0-{F}(V4), V1 == V4, P_k1_zfmisc_1-{F}(V5,V2), pppp1-{F}(V0,V6,V7,V8) | P_k19_filter_2-{T}(V0,V1,V1)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #530: mergings( V4 == V6, V6 == V8, V7 == V9, V3 == V5, V5 == V10, V10 == V11, V12 == V15, V15 == V18, V18 == V21, V13 == V16, V16 == V19, V19 == V22, V14 == V17, V17 == V20, V20 == V23; #498 ), references = 2, size of lhs = 10:
% 2.38/2.58 v10_lattices-{F}(V0), l3_lattices-{F}(V0), m2_filter_2-{F}(V1,V0), P_u1_struct_0-{F}(V0,V2), P_k1_zfmisc_1-{F}(V2,V3), m1_subset_1-{F}(V1,V3), P_k1_xboole_0-{F}(V4), V1 == V4, V2 == V4, pppp1-{F}(V0,V5,V6,V7) | P_k19_filter_2-{T}(V0,V1,V1)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #546: mergings( V4 == V6, V6 == V8, V7 == V9, V3 == V5, V5 == V10, V10 == V11, V13 == V16, V16 == V19, V19 == V22, V14 == V17, V17 == V20, V20 == V23, V15 == V18, V18 == V21, V21 == V24; #499 ), references = 1, size of lhs = 10:
% 2.38/2.58 v10_lattices-{F}(V0), l3_lattices-{F}(V0), m2_filter_2-{F}(V1,V0), P_u1_struct_0-{F}(V0,V2), P_k1_zfmisc_1-{F}(V2,V3), m1_subset_1-{F}(V1,V3), P_k1_xboole_0-{F}(V4), V1 == V4, r2_hidden-{F}(V5,V2), pppp1-{F}(V0,V6,V7,V8) | P_k19_filter_2-{T}(V0,V1,V1)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #609: mergings( V3 == V12, V0 == V11; #598 ), references = 1, size of lhs = 16:
% 2.38/2.58 v10_lattices-{F}(V0), l3_lattices-{F}(V0), v14_lattices-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k6_lattices-{F}(V0,V2), P_k17_filter_2-{F}(V0,V3), r2_hidden-{F}(V2,V4), m1_subset_1-{F}(V4,V5), P_k1_zfmisc_1-{F}(V1,V5), m1_subset_1-{F}(V3,V5), P_k19_filter_2-{F}(V0,V4,V6), V6 == V3, m1_subset_1-{F}(V6,V5), P_k1_xboole_0-{F}(V7), P_k1_zfmisc_1-{F}(V8,V1), pppp1-{F}(V0,V9,V10,V11) | v1_xboole_0-{T}(V4)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #612: mergings( V3 == V9, V0 == V8; #601 ), references = 1, size of lhs = 16:
% 2.38/2.58 v10_lattices-{F}(V0), l3_lattices-{F}(V0), v14_lattices-{F}(V0), pppp3-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k6_lattices-{F}(V0,V2), P_k17_filter_2-{F}(V0,V3), r2_hidden-{F}(V2,V4), m1_subset_1-{F}(V4,V5), P_k1_zfmisc_1-{F}(V1,V5), m1_subset_1-{F}(V3,V5), P_k19_filter_2-{F}(V0,V4,V6), V6 == V3, m1_subset_1-{F}(V6,V5), P_k1_xboole_0-{F}(V7), P_k1_zfmisc_1-{F}(V8,V1) | v1_xboole_0-{T}(V4)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #616: mergings( V3 == V13, V0 == V11, V11 == V12; #599 ), references = 2, size of lhs = 16:
% 2.38/2.58 v10_lattices-{F}(V0), l3_lattices-{F}(V0), v14_lattices-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k6_lattices-{F}(V0,V2), P_k17_filter_2-{F}(V0,V3), r2_hidden-{F}(V2,V4), m1_subset_1-{F}(V4,V5), P_k1_zfmisc_1-{F}(V1,V5), m1_subset_1-{F}(V3,V5), P_k19_filter_2-{F}(V0,V4,V6), V6 == V3, m1_subset_1-{F}(V6,V5), P_k1_xboole_0-{F}(V7), V1 == V7, pppp1-{F}(V0,V8,V9,V10) | v1_xboole_0-{T}(V4)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #655: mergings( V7 == V9, V9 == V11, V5 == V6, V6 == V13, V13 == V15, V1 == V16, V16 == V19, V19 == V22, V22 == V25, V2 == V17, V17 == V20, V20 == V23, V23 == V26, V3 == V18, V18 == V21, V21 == V24, V24 == V27; #635 ), references = 1, size of lhs = 12:
% 2.38/2.58 v10_lattices-{F}(V0), l3_lattices-{F}(V0), v14_lattices-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V2,V1), P_k1_zfmisc_1-{F}(V1,V3), P_k6_lattices-{F}(V0,V4), P_k17_filter_2-{F}(V0,V5), m1_subset_1-{F}(V5,V3), P_k1_zfmisc_1-{F}(V6,V1), P_k1_xboole_0-{F}(V7), pppp1-{F}(V0,V4,V8,V9) | pppp0-{T}(V0,V7,V4,V8,V9), pppp0-{T}(V0,V5,V4,V8,V9)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #674: mergings( V3 == V5, V5 == V7, V0 == V1, V1 == V10, V10 == V12, V8 == V14, V14 == V17, V17 == V20, V20 == V23, V9 == V15, V15 == V18, V18 == V21, V21 == V24, V13 == V16, V16 == V19, V19 == V22, V22 == V25; #656 ), references = 1, size of lhs = 13:
% 2.38/2.58 v10_lattices-{F}(V0), l3_lattices-{F}(V0), v14_lattices-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V2,V1), P_k1_zfmisc_1-{F}(V1,V3), P_k6_lattices-{F}(V0,V4), P_k17_filter_2-{F}(V0,V5), m1_subset_1-{F}(V5,V3), P_k1_zfmisc_1-{F}(V6,V1), P_k1_xboole_0-{F}(V7), r1_filter_2-{F}(V5,V5,V8), pppp1-{F}(V0,V4,V5,V8) | pppp0-{T}(V0,V7,V4,V5,V8)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #708: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V9, V9 == V11, V11 == V12, V8 == V13, V13 == V16, V16 == V19, V19 == V22, V0 == V14, V14 == V17, V17 == V20, V20 == V23, V23 == V15, V15 == V18, V18 == V21, V21 == V24; #687 ), references = 1, size of lhs = 13:
% 2.38/2.58 v1_xboole_0-{F}(V0), P_k1_xboole_0-{F}(V0), v10_lattices-{F}(V1), l3_lattices-{F}(V1), v14_lattices-{F}(V1), P_u1_struct_0-{F}(V1,V2), V2 == V0, P_k17_filter_2-{F}(V1,V2), r1_tarski-{F}(V2,V2), P_k1_zfmisc_1-{F}(V3,V2), P_k6_lattices-{F}(V1,V4), pppp1-{F}(V1,V4,V2,V2), P_k1_zfmisc_1-{F}(V5,V2) | FALSE
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #822: mergings( V6 == V8, V8 == V9, V5 == V11, V11 == V12, V1 == V13, V13 == V16, V16 == V19, V19 == V22, V2 == V14, V14 == V17, V17 == V20, V20 == V23, V3 == V15, V15 == V18, V18 == V21, V21 == V24; #803 ), references = 1, size of lhs = 11:
% 2.38/2.58 v10_lattices-{F}(V0), l3_lattices-{F}(V0), v14_lattices-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), P_k6_lattices-{F}(V0,V3), P_k17_filter_2-{F}(V0,V4), m1_subset_1-{F}(V4,V2), P_k1_xboole_0-{F}(V5), V1 == V5, pppp1-{F}(V0,V3,V6,V7) | pppp0-{T}(V0,V5,V3,V6,V7), pppp0-{T}(V0,V4,V3,V6,V7)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #840: mergings( V2 == V4, V4 == V5, V0 == V8, V8 == V9, V6 == V11, V11 == V14, V14 == V17, V17 == V20, V7 == V12, V12 == V15, V15 == V18, V18 == V21, V10 == V13, V13 == V16, V16 == V19, V19 == V22; #823 ), references = 1, size of lhs = 12:
% 2.38/2.58 v10_lattices-{F}(V0), l3_lattices-{F}(V0), v14_lattices-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), P_k6_lattices-{F}(V0,V3), P_k17_filter_2-{F}(V0,V4), m1_subset_1-{F}(V4,V2), P_k1_xboole_0-{F}(V5), V1 == V5, r1_filter_2-{F}(V4,V4,V6), pppp1-{F}(V0,V3,V4,V6) | pppp0-{T}(V0,V5,V3,V4,V6)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #873: mergings( V2 == V3, V3 == V4, V4 == V7, V7 == V8, V8 == V9, V6 == V10, V10 == V13, V13 == V16, V16 == V19, V0 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V12, V12 == V15, V15 == V18, V18 == V21; #853 ), references = 1, size of lhs = 11:
% 2.38/2.58 v1_xboole_0-{F}(V0), P_k1_xboole_0-{F}(V0), v10_lattices-{F}(V1), l3_lattices-{F}(V1), v14_lattices-{F}(V1), P_u1_struct_0-{F}(V1,V2), V2 == V0, P_k17_filter_2-{F}(V1,V2), r1_tarski-{F}(V2,V2), P_k6_lattices-{F}(V1,V3), pppp1-{F}(V1,V3,V2,V2) | FALSE
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #888: mergings( V3 == V10, V2 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #880 ), references = 2, size of lhs = 4:
% 2.38/2.58 pppp2-{F}(V0), v1_xboole_0-{F}(V1), P_k1_xboole_0-{F}(V1), P_k6_lattices-{F}(V0,V2) | P_u1_struct_0-{T}(V0,V1)
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #913: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #906 ), references = 1, size of lhs = 4:
% 2.38/2.58 v1_xboole_0-{F}(V0), P_k1_xboole_0-{F}(V0), l1_struct_0-{F}(V1), pppp2-{F}(V1) | FALSE
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #916: exists( #95, #914 ), references = 2, size of lhs = 2:
% 2.38/2.58 l1_struct_0-{F}(V0), pppp2-{F}(V0) | FALSE
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #936: exists( #90, #932 ), references = 1, size of lhs = 3:
% 2.38/2.58 v1_xboole_0-{F}(V0), P_k1_xboole_0-{F}(V0), pppp2-{F}(V1) | FALSE
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #941: exists( #95, #937 ), references = 1, size of lhs = 1:
% 2.38/2.58 pppp2-{F}(V0) | FALSE
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 #944: exists( #0, #939 ), references = 1, size of lhs = 0:
% 2.38/2.58 FALSE | FALSE
% 2.38/2.58 (used 0 times, uses = {})
% 2.38/2.58
% 2.38/2.58 number of learnt formulas = 57
% 2.38/2.58
% 2.38/2.58
% 2.38/2.58 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.38/2.58
% 2.38/2.58 randbase = 1
%------------------------------------------------------------------------------