TSTP Solution File: TOP024+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : TOP024+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 06:26:52 EDT 2022
% Result : Theorem 3.22s 3.39s
% Output : Refutation 3.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : TOP024+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n029.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 07:15:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.22/3.39 GeoParameters:
% 3.22/3.39
% 3.22/3.39 tptp_input = 1
% 3.22/3.39 tptp_output = 0
% 3.22/3.39 nonempty = 1
% 3.22/3.39 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.22/3.39 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 3.22/3.39
% 3.22/3.39
% 3.22/3.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.22/3.39 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.22/3.39
% 3.22/3.39 RuleSystem INPUT:
% 3.22/3.39
% 3.22/3.39 Initial Rules:
% 3.22/3.39 #0: input, references = 4, size of lhs = 0:
% 3.22/3.39 FALSE | EXISTS V0: pppp2-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #1: input, references = 4, size of lhs = 3:
% 3.22/3.39 pppp2-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2) | EXISTS V3: pppp1-{T}(V0,V3,V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #2: input, references = 4, size of lhs = 3:
% 3.22/3.39 pppp2-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2) | l1_pre_topc-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #3: input, references = 4, size of lhs = 3:
% 3.22/3.39 pppp2-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2) | v2_pre_topc-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #4: input, references = 4, size of lhs = 4:
% 3.22/3.39 pppp2-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), v3_struct_0-{F}(V0) | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #5: input, references = 4, size of lhs = 2:
% 3.22/3.39 pppp1-{F}(V0,V1,V2), v1_tops_1-{F}(V1,V0) | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #6: input, references = 4, size of lhs = 1:
% 3.22/3.39 pppp1-{F}(V0,V1,V2) | v1_tsp_2-{T}(V1,V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #7: input, references = 4, size of lhs = 1:
% 3.22/3.39 pppp1-{F}(V0,V1,V2) | m1_subset_1-{T}(V1,V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #8: input, references = 3, size of lhs = 2:
% 3.22/3.39 r2_hidden-{F}(V0,V1), r2_hidden-{F}(V1,V0) | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #9: input, references = 3, size of lhs = 2:
% 3.22/3.39 v1_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #10: input, references = 3, size of lhs = 2:
% 3.22/3.39 v2_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #11: input, references = 3, size of lhs = 2:
% 3.22/3.39 v2_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #12: input, references = 3, size of lhs = 2:
% 3.22/3.39 v3_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #13: input, references = 3, size of lhs = 2:
% 3.22/3.39 v3_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #14: input, references = 3, size of lhs = 2:
% 3.22/3.39 v3_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | v1_rat_1-{T}(V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #15: input, references = 3, size of lhs = 2:
% 3.22/3.39 v4_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #16: input, references = 3, size of lhs = 2:
% 3.22/3.39 v4_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #17: input, references = 3, size of lhs = 2:
% 3.22/3.39 v4_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | v1_int_1-{T}(V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #18: input, references = 3, size of lhs = 2:
% 3.22/3.39 v4_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | v1_rat_1-{T}(V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #19: input, references = 3, size of lhs = 2:
% 3.22/3.39 v5_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | pppp3-{T}(V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #20: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp3-{F}(V0) | v1_rat_1-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #21: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp3-{F}(V0) | v1_int_1-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #22: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp3-{F}(V0) | v1_xreal_0-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #23: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp3-{F}(V0) | v4_ordinal2-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #24: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp3-{F}(V0) | v1_xcmplx_0-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #25: input, references = 3, size of lhs = 1:
% 3.22/3.39 v1_xboole_0-{F}(V0) | pppp4-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #26: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp4-{F}(V0) | v5_membered-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #27: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp4-{F}(V0) | v4_membered-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #28: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp4-{F}(V0) | v3_membered-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #29: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp4-{F}(V0) | v2_membered-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #30: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp4-{F}(V0) | v1_membered-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #31: input, references = 3, size of lhs = 3:
% 3.22/3.39 P_k1_zfmisc_1-{F}(V0,V1), v1_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | v1_membered-{T}(V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #32: input, references = 3, size of lhs = 3:
% 3.22/3.39 P_k1_zfmisc_1-{F}(V0,V1), v2_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | v1_membered-{T}(V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #33: input, references = 3, size of lhs = 3:
% 3.22/3.39 P_k1_zfmisc_1-{F}(V0,V1), v2_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | v2_membered-{T}(V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #34: input, references = 3, size of lhs = 3:
% 3.22/3.39 P_k1_zfmisc_1-{F}(V0,V1), v3_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | v1_membered-{T}(V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #35: input, references = 3, size of lhs = 3:
% 3.22/3.39 P_k1_zfmisc_1-{F}(V0,V1), v3_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | v2_membered-{T}(V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #36: input, references = 3, size of lhs = 3:
% 3.22/3.39 P_k1_zfmisc_1-{F}(V0,V1), v3_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | v3_membered-{T}(V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #37: input, references = 3, size of lhs = 3:
% 3.22/3.39 P_k1_zfmisc_1-{F}(V0,V1), v4_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | v1_membered-{T}(V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #38: input, references = 3, size of lhs = 3:
% 3.22/3.39 P_k1_zfmisc_1-{F}(V0,V1), v4_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | v2_membered-{T}(V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #39: input, references = 3, size of lhs = 3:
% 3.22/3.39 P_k1_zfmisc_1-{F}(V0,V1), v4_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | v3_membered-{T}(V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #40: input, references = 3, size of lhs = 3:
% 3.22/3.39 P_k1_zfmisc_1-{F}(V0,V1), v4_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | v4_membered-{T}(V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #41: input, references = 3, size of lhs = 1:
% 3.22/3.39 v5_membered-{F}(V0) | v4_membered-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #42: input, references = 3, size of lhs = 6:
% 3.22/3.39 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)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #43: input, references = 3, size of lhs = 6:
% 3.22/3.39 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)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #44: input, references = 3, size of lhs = 3:
% 3.22/3.39 P_k1_zfmisc_1-{F}(V0,V1), v5_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | pppp5-{T}(V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #45: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp5-{F}(V0) | v5_membered-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #46: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp5-{F}(V0) | v4_membered-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #47: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp5-{F}(V0) | v3_membered-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #48: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp5-{F}(V0) | v2_membered-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #49: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp5-{F}(V0) | v1_membered-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #50: input, references = 3, size of lhs = 1:
% 3.22/3.39 v4_membered-{F}(V0) | v3_membered-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #51: input, references = 3, size of lhs = 5:
% 3.22/3.39 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)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #52: input, references = 3, size of lhs = 1:
% 3.22/3.39 v3_membered-{F}(V0) | v2_membered-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #53: input, references = 3, size of lhs = 6:
% 3.22/3.39 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)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #54: input, references = 3, size of lhs = 1:
% 3.22/3.39 v2_membered-{F}(V0) | v1_membered-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #55: input, references = 3, size of lhs = 6:
% 3.22/3.39 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)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #56: input, references = 3, size of lhs = 7:
% 3.22/3.39 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)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #57: input, references = 3, size of lhs = 7:
% 3.22/3.39 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) | pppp6-{T}(V0,V3)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #58: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp6-{F}(V0,V1) | v3_tops_1-{T}(V1,V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #59: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp6-{F}(V0,V1) | v2_tops_1-{T}(V1,V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #60: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp6-{F}(V0,V1) | v5_membered-{T}(V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #61: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp6-{F}(V0,V1) | v4_membered-{T}(V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #62: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp6-{F}(V0,V1) | v3_membered-{T}(V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #63: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp6-{F}(V0,V1) | v2_membered-{T}(V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #64: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp6-{F}(V0,V1) | v1_membered-{T}(V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #65: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp6-{F}(V0,V1) | v4_pre_topc-{T}(V1,V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #66: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp6-{F}(V0,V1) | v3_pre_topc-{T}(V1,V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #67: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp6-{F}(V0,V1) | v1_xboole_0-{T}(V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #68: input, references = 5, size of lhs = 7:
% 3.22/3.39 P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), l1_pre_topc-{F}(V0), P_k6_pre_topc-{F}(V0,V3,V4), m1_subset_1-{F}(V3,V2), v1_tops_1-{F}(V3,V0), V4 == V1 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #69: input, references = 4, size of lhs = 5:
% 3.22/3.39 P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), l1_pre_topc-{F}(V0), P_k6_pre_topc-{F}(V0,V3,V1), m1_subset_1-{F}(V3,V2) | v1_tops_1-{T}(V3,V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #70: input, references = 4, size of lhs = 6:
% 3.22/3.39 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_tsp_2-{F}(V3,V0) | v3_struct_0-{T}(V0), pppp0-{T}(V0,V3)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #71: input, references = 3, size of lhs = 6:
% 3.22/3.39 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), pppp0-{F}(V0,V3) | v3_struct_0-{T}(V0), v1_tsp_2-{T}(V3,V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #72: input, references = 3, size of lhs = 3:
% 3.22/3.39 P_k3_tex_4-{F}(V0,V1,V2), P_u1_struct_0-{F}(V0,V3), pppp0-{F}(V0,V1) | v1_tsp_1-{T}(V1,V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #73: input, references = 4, size of lhs = 4:
% 3.22/3.39 P_k3_tex_4-{F}(V0,V1,V2), P_u1_struct_0-{F}(V0,V3), pppp0-{F}(V0,V1), V2 == V3 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #74: input, references = 3, size of lhs = 3:
% 3.22/3.39 P_k3_tex_4-{F}(V0,V1,V3), P_u1_struct_0-{F}(V0,V3), v1_tsp_1-{F}(V1,V0) | pppp0-{T}(V0,V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #75: input, references = 3, size of lhs = 4:
% 3.22/3.39 P_k2_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)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #76: input, references = 4, size of lhs = 5:
% 3.22/3.39 P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), l1_pre_topc-{F}(V0), P_k3_tex_4-{F}(V0,V3,V4), m1_subset_1-{F}(V3,V2) | v3_struct_0-{T}(V0), m1_subset_1-{T}(V4,V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #77: input, references = 3, size of lhs = 5:
% 3.22/3.39 P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), l1_pre_topc-{F}(V0), P_k6_pre_topc-{F}(V0,V3,V4), m1_subset_1-{F}(V3,V2) | m1_subset_1-{T}(V4,V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #78: input, references = 4, size of lhs = 1:
% 3.22/3.39 l1_pre_topc-{F}(V0) | l1_struct_0-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #79: input, references = 3, size of lhs = 0:
% 3.22/3.39 FALSE | EXISTS V0: pppp7-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #80: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp7-{F}(V0) | l1_pre_topc-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #81: input, references = 3, size of lhs = 0:
% 3.22/3.39 FALSE | EXISTS V0: pppp8-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #82: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp8-{F}(V0) | l1_struct_0-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #83: input, references = 3, size of lhs = 1:
% 3.22/3.39 #-{F} V0 | EXISTS V1: pppp9-{T}(V0,V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #84: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp9-{F}(V0,V1) | m1_subset_1-{T}(V1,V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #85: input, references = 3, size of lhs = 3:
% 3.22/3.39 P_u1_struct_0-{F}(V0,V1), l1_struct_0-{F}(V0), v1_xboole_0-{F}(V1) | v3_struct_0-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #86: input, references = 3, size of lhs = 2:
% 3.22/3.39 P_k1_zfmisc_1-{F}(V0,V1), v1_xboole_0-{F}(V1) | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #87: input, references = 3, size of lhs = 3:
% 3.22/3.39 P_k2_pre_topc-{F}(V0,V1), l1_struct_0-{F}(V0), v1_xboole_0-{F}(V1) | v3_struct_0-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #88: input, references = 3, size of lhs = 6:
% 3.22/3.39 P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), v2_pre_topc-{F}(V0), l1_pre_topc-{F}(V0), P_k6_pre_topc-{F}(V0,V3,V4), m1_subset_1-{F}(V3,V2) | v4_pre_topc-{T}(V4,V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #89: input, references = 3, size of lhs = 3:
% 3.22/3.39 P_k2_pre_topc-{F}(V0,V1), v2_pre_topc-{F}(V0), l1_pre_topc-{F}(V0) | v4_pre_topc-{T}(V1,V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #90: input, references = 3, size of lhs = 1:
% 3.22/3.39 P_k1_xboole_0-{F}(V0) | pppp10-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #91: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp10-{F}(V0) | v5_membered-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #92: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp10-{F}(V0) | v4_membered-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #93: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp10-{F}(V0) | v3_membered-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #94: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp10-{F}(V0) | v2_membered-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #95: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp10-{F}(V0) | v1_membered-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #96: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp10-{F}(V0) | v1_xboole_0-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #97: input, references = 3, size of lhs = 4:
% 3.22/3.39 P_k1_xboole_0-{F}(V0), P_k2_pre_topc-{F}(V1,V2), v2_pre_topc-{F}(V1), l1_pre_topc-{F}(V1) | v3_pre_topc-{T}(V2,V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #98: input, references = 3, size of lhs = 4:
% 3.22/3.39 P_k1_xboole_0-{F}(V0), P_k2_pre_topc-{F}(V1,V2), v2_pre_topc-{F}(V1), l1_pre_topc-{F}(V1) | v4_pre_topc-{T}(V2,V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #99: input, references = 4, size of lhs = 3:
% 3.22/3.39 P_k1_xboole_0-{F}(V0), P_k2_pre_topc-{F}(V1,V2), l1_pre_topc-{F}(V1) | v1_tops_1-{T}(V2,V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #100: input, references = 3, size of lhs = 1:
% 3.22/3.39 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #101: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp12-{F}(V0) | pppp11-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #102: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp11-{F}(V0) | v5_membered-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #103: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp11-{F}(V0) | v4_membered-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #104: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp11-{F}(V0) | v3_membered-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #105: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp11-{F}(V0) | v2_membered-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #106: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp11-{F}(V0) | v1_membered-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #107: input, references = 3, size of lhs = 2:
% 3.22/3.39 pppp11-{F}(V0), v1_xboole_0-{F}(V0) | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #108: input, references = 4, size of lhs = 2:
% 3.22/3.39 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2) | v1_xboole_0-{T}(V1), pppp26-{T}(V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #109: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp26-{F}(V0) | EXISTS V1: pppp13-{T}(V1,V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #110: input, references = 3, size of lhs = 2:
% 3.22/3.39 pppp13-{F}(V0,V1), v1_xboole_0-{F}(V0) | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #111: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp13-{F}(V0,V1) | m1_subset_1-{T}(V0,V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #112: input, references = 3, size of lhs = 5:
% 3.22/3.39 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: pppp14-{T}(V1,V4,V3)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #113: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp14-{F}(V0,V1,V2) | v3_pre_topc-{T}(V1,V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #114: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp14-{F}(V0,V1,V2) | m1_subset_1-{T}(V1,V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #115: input, references = 4, size of lhs = 2:
% 3.22/3.39 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2) | EXISTS V3: pppp15-{T}(V3,V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #116: input, references = 4, size of lhs = 1:
% 3.22/3.39 pppp15-{F}(V0,V1) | v1_xboole_0-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #117: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp15-{F}(V0,V1) | m1_subset_1-{T}(V0,V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #118: input, references = 3, size of lhs = 5:
% 3.22/3.39 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: pppp16-{T}(V1,V4,V3)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #119: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp16-{F}(V0,V1,V2) | v4_pre_topc-{T}(V1,V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #120: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp16-{F}(V0,V1,V2) | v3_pre_topc-{T}(V1,V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #121: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp16-{F}(V0,V1,V2) | m1_subset_1-{T}(V1,V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #122: input, references = 3, size of lhs = 1:
% 3.22/3.39 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp17-{T}(V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #123: input, references = 3, size of lhs = 2:
% 3.22/3.39 pppp17-{F}(V0), v3_struct_0-{F}(V0) | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #124: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp17-{F}(V0) | l1_struct_0-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #125: input, references = 4, size of lhs = 5:
% 3.22/3.39 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), pppp27-{T}(V1,V3)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #126: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp27-{F}(V0,V1) | EXISTS V2: pppp18-{T}(V0,V2,V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #127: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp18-{F}(V0,V1,V2) | v4_pre_topc-{T}(V1,V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #128: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp18-{F}(V0,V1,V2) | v3_pre_topc-{T}(V1,V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #129: input, references = 3, size of lhs = 2:
% 3.22/3.39 pppp18-{F}(V0,V1,V2), v1_xboole_0-{F}(V1) | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #130: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp18-{F}(V0,V1,V2) | m1_subset_1-{T}(V1,V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #131: input, references = 4, size of lhs = 4:
% 3.22/3.39 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: pppp20-{T}(V1,V3,V4)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #132: input, references = 5, size of lhs = 1:
% 3.22/3.39 pppp20-{F}(V0,V1,V2) | pppp19-{T}(V0,V2,V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #133: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp19-{F}(V0,V1,V2) | v2_tops_1-{T}(V1,V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #134: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp19-{F}(V0,V1,V2) | v5_membered-{T}(V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #135: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp19-{F}(V0,V1,V2) | v4_membered-{T}(V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #136: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp19-{F}(V0,V1,V2) | v3_membered-{T}(V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #137: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp19-{F}(V0,V1,V2) | v2_membered-{T}(V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #138: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp19-{F}(V0,V1,V2) | v1_membered-{T}(V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #139: input, references = 5, size of lhs = 1:
% 3.22/3.39 pppp19-{F}(V0,V1,V2) | v1_xboole_0-{T}(V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #140: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp19-{F}(V0,V1,V2) | m1_subset_1-{T}(V1,V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #141: input, references = 5, size of lhs = 4:
% 3.22/3.39 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), pppp28-{T}(V3)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #142: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp28-{F}(V0) | EXISTS V1: pppp21-{T}(V1,V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #143: input, references = 3, size of lhs = 2:
% 3.22/3.39 pppp21-{F}(V0,V1), v1_xboole_0-{F}(V0) | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #144: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp21-{F}(V0,V1) | m1_subset_1-{T}(V0,V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #145: input, references = 4, size of lhs = 5:
% 3.22/3.39 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: pppp23-{T}(V1,V3,V4)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #146: input, references = 4, size of lhs = 1:
% 3.22/3.39 pppp23-{F}(V0,V1,V2) | pppp22-{T}(V0,V2,V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #147: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp22-{F}(V0,V1,V2) | v3_tops_1-{T}(V1,V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #148: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp22-{F}(V0,V1,V2) | v2_tops_1-{T}(V1,V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #149: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp22-{F}(V0,V1,V2) | v5_membered-{T}(V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #150: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp22-{F}(V0,V1,V2) | v4_membered-{T}(V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #151: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp22-{F}(V0,V1,V2) | v3_membered-{T}(V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #152: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp22-{F}(V0,V1,V2) | v2_membered-{T}(V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #153: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp22-{F}(V0,V1,V2) | v1_membered-{T}(V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #154: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp22-{F}(V0,V1,V2) | v4_pre_topc-{T}(V1,V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #155: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp22-{F}(V0,V1,V2) | v3_pre_topc-{T}(V1,V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #156: input, references = 4, size of lhs = 1:
% 3.22/3.39 pppp22-{F}(V0,V1,V2) | v1_xboole_0-{T}(V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #157: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp22-{F}(V0,V1,V2) | m1_subset_1-{T}(V1,V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #158: input, references = 3, size of lhs = 5:
% 3.22/3.39 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,V4,V3)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #159: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp24-{F}(V0,V1,V2) | v4_pre_topc-{T}(V1,V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #160: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp24-{F}(V0,V1,V2) | m1_subset_1-{T}(V1,V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #161: input, references = 4, size of lhs = 5:
% 3.22/3.39 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)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #162: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp29-{F}(V0,V1) | EXISTS V2: pppp25-{T}(V0,V2,V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #163: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp25-{F}(V0,V1,V2) | v4_pre_topc-{T}(V1,V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #164: input, references = 3, size of lhs = 2:
% 3.22/3.39 pppp25-{F}(V0,V1,V2), v1_xboole_0-{F}(V1) | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #165: input, references = 3, size of lhs = 1:
% 3.22/3.39 pppp25-{F}(V0,V1,V2) | m1_subset_1-{T}(V1,V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #166: input, references = 4, size of lhs = 2:
% 3.22/3.39 P_k1_xboole_0-{F}(V0), #-{F} V1 | r1_tarski-{T}(V1,V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #167: input, references = 4, size of lhs = 5:
% 3.22/3.39 P_k1_xboole_0-{F}(V0), P_k2_pre_topc-{F}(V1,V2), P_u1_struct_0-{F}(V1,V3), l1_struct_0-{F}(V1), V2 == V3 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #168: input, references = 3, size of lhs = 2:
% 3.22/3.39 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2) | m1_subset_1-{T}(V1,V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #169: input, references = 4, size of lhs = 2:
% 3.22/3.39 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V2,V1) | v1_xboole_0-{T}(V1), r2_hidden-{T}(V2,V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #170: input, references = 3, size of lhs = 3:
% 3.22/3.39 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V2,V3), m1_subset_1-{F}(V1,V3) | r1_tarski-{T}(V1,V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #171: input, references = 4, size of lhs = 3:
% 3.22/3.39 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V2,V3), r1_tarski-{F}(V1,V2) | m1_subset_1-{T}(V1,V3)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #172: input, references = 3, size of lhs = 4:
% 3.22/3.39 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)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #173: input, references = 5, size of lhs = 8:
% 3.22/3.39 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), P_k6_pre_topc-{F}(V1,V4,V5), m1_subset_1-{F}(V4,V3), v4_pre_topc-{F}(V4,V1), V5 == V4 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #174: input, references = 3, size of lhs = 7:
% 3.22/3.39 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), P_k6_pre_topc-{F}(V1,V4,V4), m1_subset_1-{F}(V4,V3), v2_pre_topc-{F}(V1) | v4_pre_topc-{T}(V4,V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #175: input, references = 3, size of lhs = 5:
% 3.22/3.39 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
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #176: input, references = 4, size of lhs = 10:
% 3.22/3.39 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), P_k3_tex_4-{F}(V1,V4,V5), P_k6_pre_topc-{F}(V1,V5,V6), P_k6_pre_topc-{F}(V1,V4,V7), m1_subset_1-{F}(V4,V3), V6 == V7 | v3_struct_0-{T}(V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #177: input, references = 6, size of lhs = 3:
% 3.22/3.39 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V1 == V0 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #178: input, references = 3, size of lhs = 3:
% 3.22/3.39 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), r2_hidden-{F}(V2,V1) | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #179: input, references = 4, size of lhs = 4:
% 3.22/3.39 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), v1_xboole_0-{F}(V2), V2 == V1 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #180: input, references = 5, size of lhs = 1:
% 3.22/3.39 #-{F} V0 | EXISTS V1: P_k1_zfmisc_1-{T}(V0,V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #181: input, references = 5, size of lhs = 1:
% 3.22/3.39 #-{F} V0 | EXISTS V1: P_u1_struct_0-{T}(V0,V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #182: input, references = 7, size of lhs = 2:
% 3.22/3.39 #-{F} V0, #-{F} V1 | EXISTS V2: P_k6_pre_topc-{T}(V0,V1,V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #183: input, references = 4, size of lhs = 2:
% 3.22/3.39 #-{F} V0, #-{F} V1 | EXISTS V2: P_k3_tex_4-{T}(V0,V1,V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #184: input, references = 4, size of lhs = 1:
% 3.22/3.39 #-{F} V0 | EXISTS V1: P_k2_pre_topc-{T}(V0,V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #185: input, references = 4, size of lhs = 0:
% 3.22/3.39 FALSE | EXISTS V0: P_k1_xboole_0-{T}(V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 number of initial rules = 186
% 3.22/3.39
% 3.22/3.39 Simplifiers:
% 3.22/3.39 #186: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 v2_pre_topc-{F}(V0), v2_pre_topc-{F}(V1), V0 == V1 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #187: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 v1_tsp_2-{F}(V0,V1), v1_tsp_2-{F}(V2,V3), V1 == V3 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #188: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 v3_pre_topc-{F}(V0,V1), v3_pre_topc-{F}(V2,V3), V1 == V3 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #189: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 v4_pre_topc-{F}(V0,V1), v4_pre_topc-{F}(V2,V3), V1 == V3 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #190: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 v3_tops_1-{F}(V0,V1), v3_tops_1-{F}(V2,V3), V1 == V3 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #191: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 v1_tsp_1-{F}(V0,V1), v1_tsp_1-{F}(V2,V3), V1 == V3 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #192: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #193: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 P_k1_zfmisc_1-{F}(V0,V1), P_k1_zfmisc_1-{F}(V0,V3), V1 == V3 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #194: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 P_u1_struct_0-{F}(V0,V1), P_u1_struct_0-{F}(V0,V3), V1 == V3 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #195: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 P_k6_pre_topc-{F}(V0,V1,V2), P_k6_pre_topc-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #196: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 P_k3_tex_4-{F}(V0,V1,V2), P_k3_tex_4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #197: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 P_k2_pre_topc-{F}(V0,V1), P_k2_pre_topc-{F}(V0,V3), V1 == V3 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #198: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 P_k1_xboole_0-{F}(V0), P_k1_xboole_0-{F}(V1), V0 == V1 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #199: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V4,V2), V1 == V4 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #200: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V4,V5), V0 == V3 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #201: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #202: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp6-{F}(V0,V1), pppp6-{F}(V2,V3), V0 == V2 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #203: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #204: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #205: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #206: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #207: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #208: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #209: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp13-{F}(V0,V1), pppp13-{F}(V2,V1), V0 == V2 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #210: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp14-{F}(V0,V1,V2), pppp14-{F}(V0,V4,V2), V1 == V4 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #211: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V4,V5), V0 == V3 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #212: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp15-{F}(V0,V1), pppp15-{F}(V2,V1), V0 == V2 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #213: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp16-{F}(V0,V1,V2), pppp16-{F}(V0,V4,V2), V1 == V4 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #214: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp16-{F}(V0,V1,V2), pppp16-{F}(V3,V4,V5), V0 == V3 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #215: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #216: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V4,V2), V1 == V4 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #217: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp18-{F}(V0,V1,V2), pppp18-{F}(V3,V4,V5), V0 == V3 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #218: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp19-{F}(V0,V1,V2), pppp19-{F}(V0,V4,V2), V1 == V4 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #219: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp20-{F}(V0,V1,V2), pppp20-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #220: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp21-{F}(V0,V1), pppp21-{F}(V2,V1), V0 == V2 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #221: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp22-{F}(V0,V1,V2), pppp22-{F}(V0,V4,V2), V1 == V4 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #222: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp22-{F}(V0,V1,V2), pppp22-{F}(V3,V4,V5), V0 == V3 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #223: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp23-{F}(V0,V1,V2), pppp23-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #224: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp23-{F}(V0,V1,V2), pppp23-{F}(V3,V4,V5), V0 == V3 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #225: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp24-{F}(V0,V1,V2), pppp24-{F}(V0,V4,V2), V1 == V4 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #226: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp24-{F}(V0,V1,V2), pppp24-{F}(V3,V4,V5), V0 == V3 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #227: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp25-{F}(V0,V1,V2), pppp25-{F}(V0,V4,V2), V1 == V4 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #228: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp25-{F}(V0,V1,V2), pppp25-{F}(V3,V4,V5), V0 == V3 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #229: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp27-{F}(V0,V1), pppp27-{F}(V2,V3), V0 == V2 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #230: unsound, references = 3, size of lhs = 3:
% 3.22/3.39 pppp29-{F}(V0,V1), pppp29-{F}(V2,V3), V0 == V2 | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 number of simplifiers = 45
% 3.22/3.39
% 3.22/3.39 Learnt:
% 3.22/3.39 #233: exists( #182, #173 ), references = 1, size of lhs = 6:
% 3.22/3.39 P_k1_xboole_0-{F}(V0), l1_pre_topc-{F}(V1), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), m1_subset_1-{F}(V4,V3), v4_pre_topc-{F}(V4,V1) | P_k6_pre_topc-{T}(V1,V4,V4)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #237: disj( #169, input ), references = 1, size of lhs = 3:
% 3.22/3.39 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V1,V2), P_k1_zfmisc_1-{F}(V3,V2) | r2_hidden-{T}(V1,V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #239: mergings( V0 == V3; #235 ), references = 1, size of lhs = 3:
% 3.22/3.39 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V1,V2), V2 == V0 | r2_hidden-{T}(V1,V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #242: mergings( V0 == V3, V2 == V3; #236 ), references = 1, size of lhs = 4:
% 3.22/3.39 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V0 == V1, m1_subset_1-{F}(V2,V0) | r2_hidden-{T}(V2,V0)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #253: mergings( V0 == V4; #251 ), references = 1, size of lhs = 2:
% 3.22/3.39 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2) | pppp15-{T}(V0,V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #256: exists( #184, #167 ), references = 2, size of lhs = 3:
% 3.22/3.39 P_k1_xboole_0-{F}(V0), l1_struct_0-{F}(V1), P_u1_struct_0-{F}(V1,V2) | P_k2_pre_topc-{T}(V1,V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #266: mergings( V0 == V3; #262 ), references = 1, size of lhs = 3:
% 3.22/3.39 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), V1 == V0 | pppp26-{T}(V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #269: mergings( V0 == V3, V1 == V3; #263 ), references = 1, size of lhs = 4:
% 3.22/3.39 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V0 == V1, P_k1_zfmisc_1-{F}(V0,V2) | pppp26-{T}(V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #271: mergings( V1 == V0; #264 ), references = 1, size of lhs = 3:
% 3.22/3.39 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V0), P_k1_zfmisc_1-{F}(V0,V2) | pppp26-{T}(V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #290: mergings( V2 == V4, V3 == V5; #287 ), references = 1, size of lhs = 5:
% 3.22/3.39 P_k1_xboole_0-{F}(V0), l1_struct_0-{F}(V1), pppp2-{F}(V1), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3) | pppp28-{T}(V3)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #303: mergings( V4 == V8, V5 == V9; #300 ), references = 3, size of lhs = 9:
% 3.22/3.39 P_k1_xboole_0-{F}(V0), v2_pre_topc-{F}(V1), l1_pre_topc-{F}(V1), pppp2-{F}(V1), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), m1_subset_1-{F}(V4,V3), P_k3_tex_4-{F}(V1,V4,V5), P_k6_pre_topc-{F}(V1,V4,V6) | P_k6_pre_topc-{T}(V1,V5,V6)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #324: mergings( V0 == V5; #321 ), references = 1, size of lhs = 4:
% 3.22/3.39 l1_pre_topc-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), P_k1_xboole_0-{F}(V3) | pppp20-{T}(V0,V2,V3)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #326: mergings( V0 == V5; #322 ), references = 1, size of lhs = 5:
% 3.22/3.39 l1_pre_topc-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), P_k1_xboole_0-{F}(V3), v1_xboole_0-{F}(V4) | pppp20-{T}(V0,V2,V4)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #351: mergings( V0 == V5; #349 ), references = 1, size of lhs = 5:
% 3.22/3.39 v2_pre_topc-{F}(V0), l1_pre_topc-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), P_k1_xboole_0-{F}(V3) | pppp23-{T}(V0,V2,V3)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #371: mergings( V2 == V4, V3 == V5; #368 ), references = 1, size of lhs = 6:
% 3.22/3.39 P_k1_xboole_0-{F}(V0), v2_pre_topc-{F}(V1), l1_pre_topc-{F}(V1), pppp2-{F}(V1), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3) | pppp27-{T}(V1,V3)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #397: mergings( V1 == V5, V2 == V6; #394 ), references = 1, size of lhs = 6:
% 3.22/3.39 l1_pre_topc-{F}(V0), pppp2-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), m1_subset_1-{F}(V3,V2), P_k3_tex_4-{F}(V0,V3,V4) | m1_subset_1-{T}(V4,V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #410: mergings( V2 == V4, V3 == V5; #407 ), references = 1, size of lhs = 6:
% 3.22/3.39 P_k1_xboole_0-{F}(V0), v2_pre_topc-{F}(V1), l1_pre_topc-{F}(V1), pppp2-{F}(V1), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3) | pppp29-{T}(V1,V3)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #460: mergings( V1 == V4, V2 == V5; #457 ), references = 2, size of lhs = 7:
% 3.22/3.39 v2_pre_topc-{F}(V0), l1_pre_topc-{F}(V0), pppp2-{F}(V0), v1_tsp_2-{F}(V1,V0), m1_subset_1-{F}(V1,V2), P_u1_struct_0-{F}(V0,V3), P_k1_zfmisc_1-{F}(V3,V2) | pppp0-{T}(V0,V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #468: disj( #141, input ), references = 1, size of lhs = 5:
% 3.22/3.39 P_k1_xboole_0-{F}(V0), l1_struct_0-{F}(V1), pppp17-{F}(V1), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3) | pppp28-{T}(V3)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #521: exists( #183, #73 ), references = 1, size of lhs = 2:
% 3.22/3.39 P_u1_struct_0-{F}(V0,V1), pppp0-{F}(V0,V2) | P_k3_tex_4-{T}(V0,V2,V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #582: mergings( V4 == V7, V5 == V8; #578 ), references = 1, size of lhs = 10:
% 3.22/3.39 P_k1_xboole_0-{F}(V0), v2_pre_topc-{F}(V1), pppp2-{F}(V1), l1_pre_topc-{F}(V1), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), m1_subset_1-{F}(V4,V3), P_k3_tex_4-{F}(V1,V4,V5), v1_tops_1-{F}(V5,V1), m1_subset_1-{F}(V5,V3) | P_k6_pre_topc-{T}(V1,V4,V2)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #586: mergings( V4 == V8, V5 == V9, V3 == V7; #579 ), references = 1, size of lhs = 10:
% 3.22/3.39 v2_pre_topc-{F}(V0), pppp2-{F}(V0), l1_pre_topc-{F}(V0), P_k1_xboole_0-{F}(V1), P_u1_struct_0-{F}(V0,V2), P_k1_zfmisc_1-{F}(V2,V3), m1_subset_1-{F}(V4,V3), P_k3_tex_4-{F}(V0,V4,V5), v4_pre_topc-{F}(V5,V0), m1_subset_1-{F}(V5,V3) | P_k6_pre_topc-{T}(V0,V4,V5)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #599: mergings( V8 == V2, V1 == V5, V5 == V6, V6 == V7, V7 == V9; #593 ), references = 1, size of lhs = 8:
% 3.22/3.39 P_k1_xboole_0-{F}(V0), v2_pre_topc-{F}(V1), pppp2-{F}(V1), l1_pre_topc-{F}(V1), P_u1_struct_0-{F}(V1,V2), v1_tops_1-{F}(V2,V1), m1_subset_1-{F}(V2,V3), P_k1_zfmisc_1-{F}(V2,V3) | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #605: mergings( V5 == V0, V2 == V3; #602 ), references = 2, size of lhs = 6:
% 3.22/3.39 P_k1_xboole_0-{F}(V0), pppp2-{F}(V1), l1_pre_topc-{F}(V1), P_u1_struct_0-{F}(V1,V2), v1_tops_1-{F}(V2,V1), r1_tarski-{F}(V2,V2) | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #617: mergings( V2 == V3, V3 == V4, V4 == V5; #613 ), references = 1, size of lhs = 4:
% 3.22/3.39 l1_struct_0-{F}(V0), pppp2-{F}(V0), l1_pre_topc-{F}(V0), P_k1_xboole_0-{F}(V1) | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #619: exists( #185, #613 ), references = 2, size of lhs = 3:
% 3.22/3.39 l1_struct_0-{F}(V0), pppp2-{F}(V0), l1_pre_topc-{F}(V0) | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #633: exists( #182, #68 ), references = 1, size of lhs = 5:
% 3.22/3.39 l1_pre_topc-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), m1_subset_1-{F}(V3,V2), v1_tops_1-{F}(V3,V0) | P_k6_pre_topc-{T}(V0,V3,V1)
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #646: exists( #180, #641 ), references = 1, size of lhs = 2:
% 3.22/3.39 pppp2-{F}(V0), P_u1_struct_0-{F}(V0,V1) | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #649: exists( #181, #644 ), references = 1, size of lhs = 1:
% 3.22/3.39 pppp2-{F}(V0) | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 #651: exists( #0, #647 ), references = 1, size of lhs = 0:
% 3.22/3.39 FALSE | FALSE
% 3.22/3.39 (used 0 times, uses = {})
% 3.22/3.39
% 3.22/3.39 number of learnt formulas = 30
% 3.22/3.39
% 3.22/3.39
% 3.22/3.39 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.22/3.39
% 3.22/3.39 randbase = 1
%------------------------------------------------------------------------------