TSTP Solution File: TOP028+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : TOP028+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n017.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 06:26:53 EDT 2022
% Result : Theorem 1.04s 3.66s
% Output : Refutation 1.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/2.20 % Problem : TOP028+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/2.21 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.15/2.78 % Computer : n017.cluster.edu
% 0.15/2.78 % Model : x86_64 x86_64
% 0.15/2.78 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/2.78 % Memory : 8042.1875MB
% 0.15/2.78 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/2.78 % CPULimit : 300
% 0.15/2.78 % WCLimit : 300
% 0.15/2.78 % DateTime : Fri Jul 22 06:25:12 EDT 2022
% 0.15/2.78 % CPUTime :
% 1.04/3.66 GeoParameters:
% 1.04/3.66
% 1.04/3.66 tptp_input = 1
% 1.04/3.66 tptp_output = 0
% 1.04/3.66 nonempty = 1
% 1.04/3.66 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.04/3.66 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.04/3.66
% 1.04/3.66
% 1.04/3.66 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.04/3.66 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.04/3.66
% 1.04/3.66 RuleSystem INPUT:
% 1.04/3.66
% 1.04/3.66 Initial Rules:
% 1.04/3.66 #0: input, references = 4, size of lhs = 0:
% 1.04/3.66 FALSE | EXISTS V0: pppp0-{T}(V0)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #1: input, references = 4, size of lhs = 5:
% 1.04/3.66 pppp0-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), m1_subset_1-{F}(V3,V2), v1_tsp_2-{F}(V3,V0) | FALSE
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #2: input, references = 4, size of lhs = 3:
% 1.04/3.66 pppp0-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2) | l1_pre_topc-{T}(V0)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #3: input, references = 4, size of lhs = 3:
% 1.04/3.66 pppp0-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2) | v2_pre_topc-{T}(V0)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #4: input, references = 4, size of lhs = 4:
% 1.04/3.66 pppp0-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), v3_struct_0-{F}(V0) | FALSE
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #5: input, references = 3, size of lhs = 2:
% 1.04/3.66 r2_hidden-{F}(V0,V1), r2_hidden-{F}(V1,V0) | FALSE
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #6: input, references = 3, size of lhs = 2:
% 1.04/3.66 v1_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #7: input, references = 3, size of lhs = 2:
% 1.04/3.66 v2_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #8: input, references = 3, size of lhs = 2:
% 1.04/3.66 v2_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #9: input, references = 3, size of lhs = 2:
% 1.04/3.66 v3_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #10: input, references = 3, size of lhs = 2:
% 1.04/3.66 v3_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #11: input, references = 3, size of lhs = 2:
% 1.04/3.66 v3_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | v1_rat_1-{T}(V1)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #12: input, references = 3, size of lhs = 2:
% 1.04/3.66 v4_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #13: input, references = 3, size of lhs = 2:
% 1.04/3.66 v4_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #14: input, references = 3, size of lhs = 2:
% 1.04/3.66 v4_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | v1_int_1-{T}(V1)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #15: input, references = 3, size of lhs = 2:
% 1.04/3.66 v4_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | v1_rat_1-{T}(V1)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #16: input, references = 3, size of lhs = 2:
% 1.04/3.66 v5_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | pppp1-{T}(V1)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #17: input, references = 3, size of lhs = 1:
% 1.04/3.66 pppp1-{F}(V0) | v1_rat_1-{T}(V0)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #18: input, references = 3, size of lhs = 1:
% 1.04/3.66 pppp1-{F}(V0) | v1_int_1-{T}(V0)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #19: input, references = 3, size of lhs = 1:
% 1.04/3.66 pppp1-{F}(V0) | v1_xreal_0-{T}(V0)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #20: input, references = 3, size of lhs = 1:
% 1.04/3.66 pppp1-{F}(V0) | v4_ordinal2-{T}(V0)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #21: input, references = 3, size of lhs = 1:
% 1.04/3.66 pppp1-{F}(V0) | v1_xcmplx_0-{T}(V0)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #22: input, references = 3, size of lhs = 1:
% 1.04/3.66 v1_xboole_0-{F}(V0) | pppp2-{T}(V0)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #23: input, references = 3, size of lhs = 1:
% 1.04/3.66 pppp2-{F}(V0) | v5_membered-{T}(V0)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #24: input, references = 3, size of lhs = 1:
% 1.04/3.66 pppp2-{F}(V0) | v4_membered-{T}(V0)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #25: input, references = 3, size of lhs = 1:
% 1.04/3.66 pppp2-{F}(V0) | v3_membered-{T}(V0)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #26: input, references = 3, size of lhs = 1:
% 1.04/3.66 pppp2-{F}(V0) | v2_membered-{T}(V0)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #27: input, references = 3, size of lhs = 1:
% 1.04/3.66 pppp2-{F}(V0) | v1_membered-{T}(V0)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #28: input, references = 3, size of lhs = 3:
% 1.04/3.66 P_k1_zfmisc_1-{F}(V0,V1), v1_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | v1_membered-{T}(V2)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #29: input, references = 3, size of lhs = 3:
% 1.04/3.66 P_k1_zfmisc_1-{F}(V0,V1), v2_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | v1_membered-{T}(V2)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #30: input, references = 3, size of lhs = 3:
% 1.04/3.66 P_k1_zfmisc_1-{F}(V0,V1), v2_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | v2_membered-{T}(V2)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #31: input, references = 3, size of lhs = 3:
% 1.04/3.66 P_k1_zfmisc_1-{F}(V0,V1), v3_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | v1_membered-{T}(V2)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #32: input, references = 3, size of lhs = 3:
% 1.04/3.66 P_k1_zfmisc_1-{F}(V0,V1), v3_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | v2_membered-{T}(V2)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #33: input, references = 3, size of lhs = 3:
% 1.04/3.66 P_k1_zfmisc_1-{F}(V0,V1), v3_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | v3_membered-{T}(V2)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #34: input, references = 3, size of lhs = 3:
% 1.04/3.66 P_k1_zfmisc_1-{F}(V0,V1), v4_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | v1_membered-{T}(V2)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #35: input, references = 3, size of lhs = 3:
% 1.04/3.66 P_k1_zfmisc_1-{F}(V0,V1), v4_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | v2_membered-{T}(V2)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #36: input, references = 3, size of lhs = 3:
% 1.04/3.66 P_k1_zfmisc_1-{F}(V0,V1), v4_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | v3_membered-{T}(V2)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #37: input, references = 3, size of lhs = 3:
% 1.04/3.66 P_k1_zfmisc_1-{F}(V0,V1), v4_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | v4_membered-{T}(V2)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #38: input, references = 3, size of lhs = 1:
% 1.04/3.66 v5_membered-{F}(V0) | v4_membered-{T}(V0)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #39: input, references = 3, size of lhs = 6:
% 1.04/3.66 P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), v2_pre_topc-{F}(V0), l1_pre_topc-{F}(V0), m1_subset_1-{F}(V3,V2), v1_xboole_0-{F}(V3) | v3_pre_topc-{T}(V3,V0)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #40: input, references = 3, size of lhs = 6:
% 1.04/3.66 P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), v2_pre_topc-{F}(V0), l1_pre_topc-{F}(V0), m1_subset_1-{F}(V3,V2), v1_xboole_0-{F}(V3) | v4_pre_topc-{T}(V3,V0)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #41: input, references = 3, size of lhs = 3:
% 1.04/3.66 P_k1_zfmisc_1-{F}(V0,V1), v5_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | pppp3-{T}(V2)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #42: input, references = 3, size of lhs = 1:
% 1.04/3.66 pppp3-{F}(V0) | v5_membered-{T}(V0)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #43: input, references = 3, size of lhs = 1:
% 1.04/3.66 pppp3-{F}(V0) | v4_membered-{T}(V0)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #44: input, references = 3, size of lhs = 1:
% 1.04/3.66 pppp3-{F}(V0) | v3_membered-{T}(V0)
% 1.04/3.66 (used 0 times, uses = {})
% 1.04/3.66
% 1.04/3.66 #45: input, references = 3, size of lhs = 1:
% 1.04/3.66 pppp3-{F}(V0) | v2_membered-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #46: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp3-{F}(V0) | v1_membered-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #47: input, references = 3, size of lhs = 1:
% 1.04/3.67 v4_membered-{F}(V0) | v3_membered-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #48: input, references = 3, size of lhs = 5:
% 1.04/3.67 P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), l1_pre_topc-{F}(V0), m1_subset_1-{F}(V3,V2), v1_xboole_0-{F}(V3) | v2_tops_1-{T}(V3,V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #49: input, references = 3, size of lhs = 1:
% 1.04/3.67 v3_membered-{F}(V0) | v2_membered-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #50: input, references = 3, size of lhs = 6:
% 1.04/3.67 P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), v2_pre_topc-{F}(V0), l1_pre_topc-{F}(V0), m1_subset_1-{F}(V3,V2), v1_xboole_0-{F}(V3) | v3_tops_1-{T}(V3,V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #51: input, references = 3, size of lhs = 1:
% 1.04/3.67 v2_membered-{F}(V0) | v1_membered-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #52: input, references = 3, size of lhs = 6:
% 1.04/3.67 P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), v2_pre_topc-{F}(V0), l1_pre_topc-{F}(V0), m1_subset_1-{F}(V3,V2), v3_tops_1-{F}(V3,V0) | v2_tops_1-{T}(V3,V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #53: input, references = 3, size of lhs = 7:
% 1.04/3.67 P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), v2_pre_topc-{F}(V0), l1_pre_topc-{F}(V0), m1_subset_1-{F}(V3,V2), v4_pre_topc-{F}(V3,V0), v2_tops_1-{F}(V3,V0) | v3_tops_1-{T}(V3,V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #54: input, references = 3, size of lhs = 7:
% 1.04/3.67 P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), v2_pre_topc-{F}(V0), l1_pre_topc-{F}(V0), m1_subset_1-{F}(V3,V2), v3_pre_topc-{F}(V3,V0), v3_tops_1-{F}(V3,V0) | pppp4-{T}(V0,V3)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #55: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp4-{F}(V0,V1) | v3_tops_1-{T}(V1,V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #56: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp4-{F}(V0,V1) | v2_tops_1-{T}(V1,V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #57: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp4-{F}(V0,V1) | v5_membered-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #58: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp4-{F}(V0,V1) | v4_membered-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #59: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp4-{F}(V0,V1) | v3_membered-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #60: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp4-{F}(V0,V1) | v2_membered-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #61: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp4-{F}(V0,V1) | v1_membered-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #62: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp4-{F}(V0,V1) | v4_pre_topc-{T}(V1,V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #63: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp4-{F}(V0,V1) | v3_pre_topc-{T}(V1,V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #64: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp4-{F}(V0,V1) | v1_xboole_0-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #65: input, references = 3, size of lhs = 4:
% 1.04/3.67 P_k1_pre_topc-{F}(V0,V1), P_u1_struct_0-{F}(V0,V2), P_k1_zfmisc_1-{F}(V2,V3), l1_struct_0-{F}(V0) | m1_subset_1-{T}(V1,V3)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #66: input, references = 3, size of lhs = 1:
% 1.04/3.67 l1_pre_topc-{F}(V0) | l1_struct_0-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #67: input, references = 3, size of lhs = 0:
% 1.04/3.67 FALSE | EXISTS V0: pppp5-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #68: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp5-{F}(V0) | l1_pre_topc-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #69: input, references = 3, size of lhs = 0:
% 1.04/3.67 FALSE | EXISTS V0: pppp6-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #70: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp6-{F}(V0) | l1_struct_0-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #71: input, references = 3, size of lhs = 1:
% 1.04/3.67 #-{F} V0 | EXISTS V1: pppp7-{T}(V0,V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #72: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp7-{F}(V0,V1) | m1_subset_1-{T}(V1,V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #73: input, references = 5, size of lhs = 2:
% 1.04/3.67 P_k1_pre_topc-{F}(V0,V1), l1_struct_0-{F}(V0) | pppp8-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #74: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp8-{F}(V0) | v5_membered-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #75: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp8-{F}(V0) | v4_membered-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #76: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp8-{F}(V0) | v3_membered-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #77: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp8-{F}(V0) | v2_membered-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #78: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp8-{F}(V0) | v1_membered-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #79: input, references = 5, size of lhs = 1:
% 1.04/3.67 pppp8-{F}(V0) | v1_xboole_0-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #80: input, references = 3, size of lhs = 3:
% 1.04/3.67 P_u1_struct_0-{F}(V0,V1), l1_struct_0-{F}(V0), v1_xboole_0-{F}(V1) | v3_struct_0-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #81: input, references = 3, size of lhs = 2:
% 1.04/3.67 P_k1_zfmisc_1-{F}(V0,V1), v1_xboole_0-{F}(V1) | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #82: input, references = 3, size of lhs = 3:
% 1.04/3.67 P_k1_pre_topc-{F}(V0,V1), v2_pre_topc-{F}(V0), l1_pre_topc-{F}(V0) | pppp9-{T}(V0,V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #83: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp9-{F}(V0,V1) | v5_membered-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #84: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp9-{F}(V0,V1) | v4_membered-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #85: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp9-{F}(V0,V1) | v3_membered-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #86: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp9-{F}(V0,V1) | v2_membered-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #87: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp9-{F}(V0,V1) | v1_membered-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #88: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp9-{F}(V0,V1) | v4_pre_topc-{T}(V1,V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #89: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp9-{F}(V0,V1) | v1_xboole_0-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #90: input, references = 4, size of lhs = 1:
% 1.04/3.67 P_k1_xboole_0-{F}(V0) | pppp10-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #91: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp10-{F}(V0) | v5_membered-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #92: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp10-{F}(V0) | v4_membered-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #93: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp10-{F}(V0) | v3_membered-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #94: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp10-{F}(V0) | v2_membered-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #95: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp10-{F}(V0) | v1_membered-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #96: input, references = 4, size of lhs = 1:
% 1.04/3.67 pppp10-{F}(V0) | v1_xboole_0-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #97: input, references = 3, size of lhs = 4:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), P_k1_pre_topc-{F}(V1,V2), v2_pre_topc-{F}(V1), l1_pre_topc-{F}(V1) | pppp11-{T}(V1,V2)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #98: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp11-{F}(V0,V1) | v5_membered-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #99: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp11-{F}(V0,V1) | v4_membered-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #100: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp11-{F}(V0,V1) | v3_membered-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #101: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp11-{F}(V0,V1) | v2_membered-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #102: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp11-{F}(V0,V1) | v1_membered-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #103: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp11-{F}(V0,V1) | v4_pre_topc-{T}(V1,V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #104: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp11-{F}(V0,V1) | v3_pre_topc-{T}(V1,V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #105: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp11-{F}(V0,V1) | v1_xboole_0-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #106: input, references = 3, size of lhs = 1:
% 1.04/3.67 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #107: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp13-{F}(V0) | pppp12-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #108: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp12-{F}(V0) | v5_membered-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #109: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp12-{F}(V0) | v4_membered-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #110: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp12-{F}(V0) | v3_membered-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #111: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp12-{F}(V0) | v2_membered-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #112: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp12-{F}(V0) | v1_membered-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #113: input, references = 3, size of lhs = 2:
% 1.04/3.67 pppp12-{F}(V0), v1_xboole_0-{F}(V0) | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #114: input, references = 4, size of lhs = 2:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2) | v1_xboole_0-{T}(V1), pppp28-{T}(V2)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #115: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp28-{F}(V0) | EXISTS V1: pppp14-{T}(V1,V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #116: input, references = 3, size of lhs = 2:
% 1.04/3.67 pppp14-{F}(V0,V1), v1_xboole_0-{F}(V0) | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #117: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp14-{F}(V0,V1) | m1_subset_1-{T}(V0,V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #118: input, references = 3, size of lhs = 5:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), v2_pre_topc-{F}(V1), l1_pre_topc-{F}(V1) | EXISTS V4: pppp15-{T}(V1,V4,V3)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #119: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp15-{F}(V0,V1,V2) | v3_pre_topc-{T}(V1,V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #120: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp15-{F}(V0,V1,V2) | m1_subset_1-{T}(V1,V2)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #121: input, references = 4, size of lhs = 2:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2) | EXISTS V3: pppp16-{T}(V3,V2)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #122: input, references = 5, size of lhs = 1:
% 1.04/3.67 pppp16-{F}(V0,V1) | v1_xboole_0-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #123: input, references = 4, size of lhs = 1:
% 1.04/3.67 pppp16-{F}(V0,V1) | m1_subset_1-{T}(V0,V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #124: input, references = 3, size of lhs = 5:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), v2_pre_topc-{F}(V1), l1_pre_topc-{F}(V1) | EXISTS V4: pppp17-{T}(V1,V4,V3)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #125: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp17-{F}(V0,V1,V2) | v4_pre_topc-{T}(V1,V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #126: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp17-{F}(V0,V1,V2) | v3_pre_topc-{T}(V1,V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #127: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp17-{F}(V0,V1,V2) | m1_subset_1-{T}(V1,V2)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #128: input, references = 3, size of lhs = 1:
% 1.04/3.67 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp18-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #129: input, references = 3, size of lhs = 2:
% 1.04/3.67 pppp18-{F}(V0), v3_struct_0-{F}(V0) | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #130: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp18-{F}(V0) | l1_struct_0-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #131: input, references = 4, size of lhs = 5:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), v2_pre_topc-{F}(V1), l1_pre_topc-{F}(V1) | v3_struct_0-{T}(V1), pppp29-{T}(V1,V3)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #132: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp29-{F}(V0,V1) | EXISTS V2: pppp19-{T}(V0,V2,V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #133: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp19-{F}(V0,V1,V2) | v4_pre_topc-{T}(V1,V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #134: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp19-{F}(V0,V1,V2) | v3_pre_topc-{T}(V1,V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #135: input, references = 3, size of lhs = 2:
% 1.04/3.67 pppp19-{F}(V0,V1,V2), v1_xboole_0-{F}(V1) | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #136: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp19-{F}(V0,V1,V2) | m1_subset_1-{T}(V1,V2)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #137: input, references = 3, size of lhs = 4:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), l1_pre_topc-{F}(V1) | EXISTS V4: pppp21-{T}(V1,V3,V4)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #138: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp21-{F}(V0,V1,V2) | pppp20-{T}(V0,V2,V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #139: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp20-{F}(V0,V1,V2) | v2_tops_1-{T}(V1,V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #140: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp20-{F}(V0,V1,V2) | v5_membered-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #141: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp20-{F}(V0,V1,V2) | v4_membered-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #142: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp20-{F}(V0,V1,V2) | v3_membered-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #143: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp20-{F}(V0,V1,V2) | v2_membered-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #144: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp20-{F}(V0,V1,V2) | v1_membered-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #145: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp20-{F}(V0,V1,V2) | v1_xboole_0-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #146: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp20-{F}(V0,V1,V2) | m1_subset_1-{T}(V1,V2)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #147: input, references = 4, size of lhs = 4:
% 1.04/3.67 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), pppp30-{T}(V3)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #148: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp30-{F}(V0) | EXISTS V1: pppp22-{T}(V1,V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #149: input, references = 3, size of lhs = 2:
% 1.04/3.67 pppp22-{F}(V0,V1), v1_xboole_0-{F}(V0) | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #150: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp22-{F}(V0,V1) | m1_subset_1-{T}(V0,V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #151: input, references = 3, size of lhs = 5:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), v2_pre_topc-{F}(V1), l1_pre_topc-{F}(V1) | EXISTS V4: pppp24-{T}(V1,V3,V4)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #152: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp24-{F}(V0,V1,V2) | pppp23-{T}(V0,V2,V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #153: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp23-{F}(V0,V1,V2) | v3_tops_1-{T}(V1,V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #154: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp23-{F}(V0,V1,V2) | v2_tops_1-{T}(V1,V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #155: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp23-{F}(V0,V1,V2) | v5_membered-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #156: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp23-{F}(V0,V1,V2) | v4_membered-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #157: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp23-{F}(V0,V1,V2) | v3_membered-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #158: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp23-{F}(V0,V1,V2) | v2_membered-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #159: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp23-{F}(V0,V1,V2) | v1_membered-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #160: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp23-{F}(V0,V1,V2) | v4_pre_topc-{T}(V1,V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #161: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp23-{F}(V0,V1,V2) | v3_pre_topc-{T}(V1,V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #162: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp23-{F}(V0,V1,V2) | v1_xboole_0-{T}(V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #163: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp23-{F}(V0,V1,V2) | m1_subset_1-{T}(V1,V2)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #164: input, references = 3, size of lhs = 5:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), v2_pre_topc-{F}(V1), l1_pre_topc-{F}(V1) | EXISTS V4: pppp25-{T}(V1,V4,V3)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #165: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp25-{F}(V0,V1,V2) | v4_pre_topc-{T}(V1,V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #166: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp25-{F}(V0,V1,V2) | m1_subset_1-{T}(V1,V2)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #167: input, references = 4, size of lhs = 5:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), v2_pre_topc-{F}(V1), l1_pre_topc-{F}(V1) | v3_struct_0-{T}(V1), pppp31-{T}(V1,V3)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #168: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp31-{F}(V0,V1) | EXISTS V2: pppp26-{T}(V0,V2,V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #169: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp26-{F}(V0,V1,V2) | v4_pre_topc-{T}(V1,V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #170: input, references = 3, size of lhs = 2:
% 1.04/3.67 pppp26-{F}(V0,V1,V2), v1_xboole_0-{F}(V1) | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #171: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp26-{F}(V0,V1,V2) | m1_subset_1-{T}(V1,V2)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #172: input, references = 3, size of lhs = 2:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), #-{F} V1 | r1_tarski-{T}(V1,V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #173: input, references = 4, size of lhs = 6:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), l1_pre_topc-{F}(V1), m1_subset_1-{F}(V4,V3), v3_tex_2-{F}(V4,V1) | v3_struct_0-{T}(V1), v1_tsp_1-{T}(V4,V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #174: input, references = 3, size of lhs = 2:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2) | m1_subset_1-{T}(V1,V2)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #175: input, references = 4, size of lhs = 2:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V2,V1) | v1_xboole_0-{T}(V1), r2_hidden-{T}(V2,V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #176: input, references = 4, size of lhs = 7:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), v2_pre_topc-{F}(V1), l1_pre_topc-{F}(V1), v1_xboole_0-{F}(V4), m1_subset_1-{F}(V4,V3) | v3_struct_0-{T}(V1), v3_tex_2-{T}(V4,V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #177: input, references = 3, size of lhs = 3:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V2,V3), m1_subset_1-{F}(V1,V3) | r1_tarski-{T}(V1,V2)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #178: input, references = 3, size of lhs = 3:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V2,V3), r1_tarski-{F}(V1,V2) | m1_subset_1-{T}(V1,V3)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #179: input, references = 3, size of lhs = 4:
% 1.04/3.67 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)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #180: input, references = 3, size of lhs = 5:
% 1.04/3.67 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
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #181: input, references = 5, size of lhs = 3:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V1 == V0 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #182: input, references = 3, size of lhs = 3:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), r2_hidden-{F}(V2,V1) | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #183: input, references = 5, size of lhs = 4:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), v1_xboole_0-{F}(V2), V2 == V1 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #184: input, references = 4, size of lhs = 7:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), v2_pre_topc-{F}(V1), l1_pre_topc-{F}(V1), m1_subset_1-{F}(V4,V3), v1_tsp_1-{F}(V4,V1) | v3_struct_0-{T}(V1), pppp32-{T}(V1,V4,V3)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #185: input, references = 4, size of lhs = 1:
% 1.04/3.67 pppp32-{F}(V0,V1,V2) | EXISTS V3: pppp27-{T}(V0,V1,V3,V2)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #186: input, references = 4, size of lhs = 1:
% 1.04/3.67 pppp27-{F}(V0,V1,V2,V3) | v1_tsp_2-{T}(V2,V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #187: input, references = 3, size of lhs = 1:
% 1.04/3.67 pppp27-{F}(V0,V1,V2,V3) | r1_tarski-{T}(V1,V2)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #188: input, references = 4, size of lhs = 1:
% 1.04/3.67 pppp27-{F}(V0,V1,V2,V3) | m1_subset_1-{T}(V2,V3)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #189: input, references = 5, size of lhs = 1:
% 1.04/3.67 #-{F} V0 | EXISTS V1: P_k1_zfmisc_1-{T}(V0,V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #190: input, references = 5, size of lhs = 1:
% 1.04/3.67 #-{F} V0 | EXISTS V1: P_u1_struct_0-{T}(V0,V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #191: input, references = 4, size of lhs = 1:
% 1.04/3.67 #-{F} V0 | EXISTS V1: P_k1_pre_topc-{T}(V0,V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #192: input, references = 4, size of lhs = 0:
% 1.04/3.67 FALSE | EXISTS V0: P_k1_xboole_0-{T}(V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 number of initial rules = 193
% 1.04/3.67
% 1.04/3.67 Simplifiers:
% 1.04/3.67 #193: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 v2_pre_topc-{F}(V0), v2_pre_topc-{F}(V1), V0 == V1 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #194: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 v1_tsp_2-{F}(V0,V1), v1_tsp_2-{F}(V2,V3), V1 == V3 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #195: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 v3_pre_topc-{F}(V0,V1), v3_pre_topc-{F}(V2,V3), V1 == V3 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #196: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 v4_pre_topc-{F}(V0,V1), v4_pre_topc-{F}(V2,V3), V1 == V3 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #197: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 v3_tops_1-{F}(V0,V1), v3_tops_1-{F}(V2,V3), V1 == V3 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #198: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 v3_tex_2-{F}(V0,V1), v3_tex_2-{F}(V2,V3), V1 == V3 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #199: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 v1_tsp_1-{F}(V0,V1), v1_tsp_1-{F}(V2,V3), V1 == V3 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #200: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 P_k1_zfmisc_1-{F}(V0,V1), P_k1_zfmisc_1-{F}(V0,V3), V1 == V3 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #201: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 P_u1_struct_0-{F}(V0,V1), P_u1_struct_0-{F}(V0,V3), V1 == V3 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #202: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 P_k1_pre_topc-{F}(V0,V1), P_k1_pre_topc-{F}(V0,V3), V1 == V3 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #203: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), P_k1_xboole_0-{F}(V1), V0 == V1 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #204: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #205: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp4-{F}(V0,V1), pppp4-{F}(V2,V3), V0 == V2 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #206: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #207: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #208: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #209: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #210: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp9-{F}(V0,V1), pppp9-{F}(V2,V3), V0 == V2 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #211: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #212: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp11-{F}(V0,V1), pppp11-{F}(V0,V3), V1 == V3 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #213: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp11-{F}(V0,V1), pppp11-{F}(V2,V3), V0 == V2 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #214: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #215: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #216: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp14-{F}(V0,V1), pppp14-{F}(V2,V1), V0 == V2 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #217: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V2), V1 == V4 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #218: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp15-{F}(V0,V1,V2), pppp15-{F}(V3,V4,V5), V0 == V3 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #219: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp16-{F}(V0,V1), pppp16-{F}(V2,V1), V0 == V2 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #220: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V4,V2), V1 == V4 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #221: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp17-{F}(V0,V1,V2), pppp17-{F}(V3,V4,V5), V0 == V3 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #222: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #223: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp19-{F}(V0,V1,V2), pppp19-{F}(V0,V4,V2), V1 == V4 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #224: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp19-{F}(V0,V1,V2), pppp19-{F}(V3,V4,V5), V0 == V3 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #225: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp20-{F}(V0,V1,V2), pppp20-{F}(V0,V4,V2), V1 == V4 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #226: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp21-{F}(V0,V1,V2), pppp21-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #227: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp22-{F}(V0,V1), pppp22-{F}(V2,V1), V0 == V2 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #228: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp23-{F}(V0,V1,V2), pppp23-{F}(V0,V4,V2), V1 == V4 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #229: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp23-{F}(V0,V1,V2), pppp23-{F}(V3,V4,V5), V0 == V3 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #230: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp24-{F}(V0,V1,V2), pppp24-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #231: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp24-{F}(V0,V1,V2), pppp24-{F}(V3,V4,V5), V0 == V3 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #232: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp25-{F}(V0,V1,V2), pppp25-{F}(V0,V4,V2), V1 == V4 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #233: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp25-{F}(V0,V1,V2), pppp25-{F}(V3,V4,V5), V0 == V3 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #234: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp26-{F}(V0,V1,V2), pppp26-{F}(V0,V4,V2), V1 == V4 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #235: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp26-{F}(V0,V1,V2), pppp26-{F}(V3,V4,V5), V0 == V3 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #236: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp27-{F}(V0,V1,V2,V3), pppp27-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #237: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp27-{F}(V0,V1,V2,V3), pppp27-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #238: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp29-{F}(V0,V1), pppp29-{F}(V2,V3), V0 == V2 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #239: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp31-{F}(V0,V1), pppp31-{F}(V2,V3), V0 == V2 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #240: unsound, references = 3, size of lhs = 3:
% 1.04/3.67 pppp32-{F}(V0,V1,V2), pppp32-{F}(V3,V4,V5), V0 == V3 | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 number of simplifiers = 48
% 1.04/3.67
% 1.04/3.67 Learnt:
% 1.04/3.67 #249: exists( #191, #244 ), references = 1, size of lhs = 2:
% 1.04/3.67 l1_struct_0-{F}(V0), P_k1_xboole_0-{F}(V1) | P_k1_pre_topc-{T}(V0,V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #250: exists( #191, #245 ), references = 1, size of lhs = 3:
% 1.04/3.67 l1_struct_0-{F}(V0), P_k1_xboole_0-{F}(V1), v1_xboole_0-{F}(V2) | P_k1_pre_topc-{T}(V0,V2)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #259: mergings( V0 == V4; #256 ), references = 2, size of lhs = 2:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2) | pppp16-{T}(V0,V2)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #261: mergings( V0 == V4; #257 ), references = 1, size of lhs = 3:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V2,V3) | pppp16-{T}(V1,V3)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #266: disj( #175, input ), references = 1, size of lhs = 3:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V1,V2), P_k1_zfmisc_1-{F}(V3,V2) | r2_hidden-{T}(V1,V2)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #268: mergings( V0 == V3; #264 ), references = 1, size of lhs = 3:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V1,V2), V2 == V0 | r2_hidden-{T}(V1,V2)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #271: mergings( V0 == V3, V2 == V3; #265 ), references = 1, size of lhs = 4:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V0 == V1, m1_subset_1-{F}(V2,V0) | r2_hidden-{T}(V2,V0)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #279: mergings( V2 == V4, V3 == V5; #275 ), references = 1, size of lhs = 5:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), l1_struct_0-{F}(V1), pppp0-{F}(V1), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3) | pppp30-{T}(V3)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #280: disj( #147, input ), references = 1, size of lhs = 5:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), l1_struct_0-{F}(V1), pppp18-{F}(V1), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3) | pppp30-{T}(V3)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #289: mergings( V0 == V3; #285 ), references = 1, size of lhs = 3:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), V1 == V0 | pppp28-{T}(V2)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #292: mergings( V0 == V3, V1 == V3; #286 ), references = 1, size of lhs = 4:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V0 == V1, P_k1_zfmisc_1-{F}(V0,V2) | pppp28-{T}(V2)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #294: mergings( V1 == V0; #287 ), references = 1, size of lhs = 3:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V0), P_k1_zfmisc_1-{F}(V0,V2) | pppp28-{T}(V2)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #312: mergings( V2 == V4, V3 == V5; #309 ), references = 1, size of lhs = 6:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), v2_pre_topc-{F}(V1), l1_pre_topc-{F}(V1), pppp0-{F}(V1), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3) | pppp29-{T}(V1,V3)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #321: mergings( V2 == V4, V3 == V5; #318 ), references = 1, size of lhs = 6:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), v2_pre_topc-{F}(V1), l1_pre_topc-{F}(V1), pppp0-{F}(V1), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3) | pppp31-{T}(V1,V3)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #355: mergings( V2 == V5, V3 == V6; #352 ), references = 1, size of lhs = 7:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), l1_pre_topc-{F}(V1), pppp0-{F}(V1), v3_tex_2-{F}(V2,V1), m1_subset_1-{F}(V2,V3), P_u1_struct_0-{F}(V1,V4), P_k1_zfmisc_1-{F}(V4,V3) | v1_tsp_1-{T}(V2,V1)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #364: mergings( V2 == V5, V3 == V6; #361 ), references = 1, size of lhs = 8:
% 1.04/3.67 P_k1_xboole_0-{F}(V0), v2_pre_topc-{F}(V1), l1_pre_topc-{F}(V1), pppp0-{F}(V1), v1_tsp_1-{F}(V2,V1), m1_subset_1-{F}(V2,V3), P_u1_struct_0-{F}(V1,V4), P_k1_zfmisc_1-{F}(V4,V3) | pppp32-{T}(V1,V2,V3)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #377: exists( #185, #375 ), references = 1, size of lhs = 4:
% 1.04/3.67 pppp0-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), pppp32-{F}(V0,V3,V2) | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #392: mergings( V2 == V7, V3 == V8, V7 == V9, V8 == V10, V9 == V11, V10 == V12, V11 == V13, V12 == V14, V13 == V15, V0 == V5, V5 == V6; #380 ), references = 1, size of lhs = 8:
% 1.04/3.67 v1_xboole_0-{F}(V0), P_k1_xboole_0-{F}(V1), v2_pre_topc-{F}(V2), l1_pre_topc-{F}(V2), pppp0-{F}(V2), m1_subset_1-{F}(V0,V3), P_u1_struct_0-{F}(V2,V4), P_k1_zfmisc_1-{F}(V4,V3) | v3_struct_0-{T}(V2)
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #401: mergings( V2 == V3, V3 == V4, V4 == V5; #397 ), references = 1, size of lhs = 5:
% 1.04/3.67 v1_xboole_0-{F}(V0), P_k1_xboole_0-{F}(V0), l1_pre_topc-{F}(V1), pppp0-{F}(V1), P_u1_struct_0-{F}(V1,V2) | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #406: mergings( V2 == V3, V3 == V4, V4 == V5; #402 ), references = 1, size of lhs = 4:
% 1.04/3.67 v1_xboole_0-{F}(V0), P_k1_xboole_0-{F}(V0), l1_pre_topc-{F}(V1), pppp0-{F}(V1) | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #410: exists( #192, #408 ), references = 2, size of lhs = 2:
% 1.04/3.67 l1_pre_topc-{F}(V0), pppp0-{F}(V0) | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #442: exists( #189, #436 ), references = 1, size of lhs = 2:
% 1.04/3.67 pppp0-{F}(V0), P_u1_struct_0-{F}(V0,V1) | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #446: exists( #190, #439 ), references = 1, size of lhs = 1:
% 1.04/3.67 pppp0-{F}(V0) | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 #448: exists( #0, #443 ), references = 1, size of lhs = 0:
% 1.04/3.67 FALSE | FALSE
% 1.04/3.67 (used 0 times, uses = {})
% 1.04/3.67
% 1.04/3.67 number of learnt formulas = 24
% 1.04/3.67
% 1.04/3.67
% 1.04/3.67 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.04/3.67
% 1.04/3.67 randbase = 1
%------------------------------------------------------------------------------