TSTP Solution File: TOP025+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : TOP025+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n020.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 1.74s 3.76s
% Output : Refutation 1.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/1.60 % Problem : TOP025+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/1.61 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.15/2.11 % Computer : n020.cluster.edu
% 0.15/2.11 % Model : x86_64 x86_64
% 0.15/2.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/2.11 % Memory : 8042.1875MB
% 0.15/2.11 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/2.11 % CPULimit : 300
% 0.15/2.11 % WCLimit : 300
% 0.15/2.11 % DateTime : Fri Jul 22 07:04:36 EDT 2022
% 0.15/2.11 % CPUTime :
% 1.74/3.76 GeoParameters:
% 1.74/3.76
% 1.74/3.76 tptp_input = 1
% 1.74/3.76 tptp_output = 0
% 1.74/3.76 nonempty = 1
% 1.74/3.76 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.74/3.76 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.74/3.76
% 1.74/3.76
% 1.74/3.76 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.74/3.76 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.74/3.76
% 1.74/3.76 RuleSystem INPUT:
% 1.74/3.76
% 1.74/3.76 Initial Rules:
% 1.74/3.76 #0: input, references = 4, size of lhs = 0:
% 1.74/3.76 FALSE | EXISTS V0: pppp2-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #1: input, references = 4, size of lhs = 3:
% 1.74/3.76 pppp2-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2) | EXISTS V3: pppp1-{T}(V0,V3,V2)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #2: input, references = 4, size of lhs = 3:
% 1.74/3.76 pppp2-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2) | l1_pre_topc-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #3: input, references = 5, size of lhs = 3:
% 1.74/3.76 pppp2-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2) | v2_pre_topc-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #4: input, references = 6, size of lhs = 4:
% 1.74/3.76 pppp2-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), v3_struct_0-{F}(V0) | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #5: input, references = 4, size of lhs = 1:
% 1.74/3.76 pppp1-{F}(V0,V1,V2) | v1_tex_2-{T}(V1,V2)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #6: input, references = 4, size of lhs = 1:
% 1.74/3.76 pppp1-{F}(V0,V1,V2) | v1_tsp_2-{T}(V1,V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #7: input, references = 4, size of lhs = 1:
% 1.74/3.76 pppp1-{F}(V0,V1,V2) | v3_pre_topc-{T}(V1,V0), v4_pre_topc-{T}(V1,V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #8: input, references = 4, size of lhs = 1:
% 1.74/3.76 pppp1-{F}(V0,V1,V2) | m1_subset_1-{T}(V1,V2)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #9: input, references = 4, size of lhs = 2:
% 1.74/3.76 r2_hidden-{F}(V0,V1), r2_hidden-{F}(V1,V0) | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #10: input, references = 3, size of lhs = 2:
% 1.74/3.76 v1_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #11: input, references = 3, size of lhs = 2:
% 1.74/3.76 v2_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #12: input, references = 3, size of lhs = 2:
% 1.74/3.76 v2_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #13: input, references = 3, size of lhs = 2:
% 1.74/3.76 v3_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #14: input, references = 3, size of lhs = 2:
% 1.74/3.76 v3_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #15: input, references = 3, size of lhs = 2:
% 1.74/3.76 v3_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | v1_rat_1-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #16: input, references = 3, size of lhs = 2:
% 1.74/3.76 v4_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #17: input, references = 3, size of lhs = 2:
% 1.74/3.76 v4_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #18: input, references = 3, size of lhs = 2:
% 1.74/3.76 v4_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | v1_int_1-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #19: input, references = 3, size of lhs = 2:
% 1.74/3.76 v4_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | v1_rat_1-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #20: input, references = 3, size of lhs = 2:
% 1.74/3.76 v5_membered-{F}(V0), m1_subset_1-{F}(V1,V0) | pppp3-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #21: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp3-{F}(V0) | v1_rat_1-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #22: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp3-{F}(V0) | v1_int_1-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #23: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp3-{F}(V0) | v1_xreal_0-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #24: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp3-{F}(V0) | v4_ordinal2-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #25: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp3-{F}(V0) | v1_xcmplx_0-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #26: input, references = 3, size of lhs = 1:
% 1.74/3.76 v1_xboole_0-{F}(V0) | pppp4-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #27: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp4-{F}(V0) | v5_membered-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #28: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp4-{F}(V0) | v4_membered-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #29: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp4-{F}(V0) | v3_membered-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #30: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp4-{F}(V0) | v2_membered-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #31: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp4-{F}(V0) | v1_membered-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #32: input, references = 3, size of lhs = 3:
% 1.74/3.76 P_k1_zfmisc_1-{F}(V0,V1), v1_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | v1_membered-{T}(V2)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #33: input, references = 3, size of lhs = 3:
% 1.74/3.76 P_k1_zfmisc_1-{F}(V0,V1), v2_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | v1_membered-{T}(V2)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #34: input, references = 3, size of lhs = 3:
% 1.74/3.76 P_k1_zfmisc_1-{F}(V0,V1), v2_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | v2_membered-{T}(V2)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #35: input, references = 3, size of lhs = 3:
% 1.74/3.76 P_k1_zfmisc_1-{F}(V0,V1), v3_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | v1_membered-{T}(V2)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #36: input, references = 3, size of lhs = 3:
% 1.74/3.76 P_k1_zfmisc_1-{F}(V0,V1), v3_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | v2_membered-{T}(V2)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #37: input, references = 3, size of lhs = 3:
% 1.74/3.76 P_k1_zfmisc_1-{F}(V0,V1), v3_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | v3_membered-{T}(V2)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #38: input, references = 3, size of lhs = 3:
% 1.74/3.76 P_k1_zfmisc_1-{F}(V0,V1), v4_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | v1_membered-{T}(V2)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #39: input, references = 3, size of lhs = 3:
% 1.74/3.76 P_k1_zfmisc_1-{F}(V0,V1), v4_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | v2_membered-{T}(V2)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #40: input, references = 3, size of lhs = 3:
% 1.74/3.76 P_k1_zfmisc_1-{F}(V0,V1), v4_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | v3_membered-{T}(V2)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #41: input, references = 3, size of lhs = 3:
% 1.74/3.76 P_k1_zfmisc_1-{F}(V0,V1), v4_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | v4_membered-{T}(V2)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #42: input, references = 3, size of lhs = 1:
% 1.74/3.76 v5_membered-{F}(V0) | v4_membered-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #43: input, references = 4, size of lhs = 6:
% 1.74/3.76 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)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #44: input, references = 3, size of lhs = 6:
% 1.74/3.76 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)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #45: input, references = 3, size of lhs = 3:
% 1.74/3.76 P_k1_zfmisc_1-{F}(V0,V1), v5_membered-{F}(V0), m1_subset_1-{F}(V2,V1) | pppp5-{T}(V2)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #46: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp5-{F}(V0) | v5_membered-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #47: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp5-{F}(V0) | v4_membered-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #48: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp5-{F}(V0) | v3_membered-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #49: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp5-{F}(V0) | v2_membered-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #50: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp5-{F}(V0) | v1_membered-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #51: input, references = 3, size of lhs = 1:
% 1.74/3.76 v4_membered-{F}(V0) | v3_membered-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #52: input, references = 3, size of lhs = 5:
% 1.74/3.76 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)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #53: input, references = 3, size of lhs = 1:
% 1.74/3.76 v3_membered-{F}(V0) | v2_membered-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #54: input, references = 3, size of lhs = 6:
% 1.74/3.76 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)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #55: input, references = 3, size of lhs = 1:
% 1.74/3.76 v2_membered-{F}(V0) | v1_membered-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #56: input, references = 3, size of lhs = 6:
% 1.74/3.76 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)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #57: input, references = 3, size of lhs = 7:
% 1.74/3.76 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)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #58: input, references = 3, size of lhs = 7:
% 1.74/3.76 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)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #59: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp6-{F}(V0,V1) | v3_tops_1-{T}(V1,V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #60: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp6-{F}(V0,V1) | v2_tops_1-{T}(V1,V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #61: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp6-{F}(V0,V1) | v5_membered-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #62: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp6-{F}(V0,V1) | v4_membered-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #63: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp6-{F}(V0,V1) | v3_membered-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #64: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp6-{F}(V0,V1) | v2_membered-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #65: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp6-{F}(V0,V1) | v1_membered-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #66: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp6-{F}(V0,V1) | v4_pre_topc-{T}(V1,V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #67: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp6-{F}(V0,V1) | v3_pre_topc-{T}(V1,V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #68: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp6-{F}(V0,V1) | v1_xboole_0-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #69: input, references = 4, size of lhs = 6:
% 1.74/3.76 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)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #70: input, references = 3, size of lhs = 6:
% 1.74/3.76 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)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #71: input, references = 3, size of lhs = 3:
% 1.74/3.76 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)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #72: input, references = 4, size of lhs = 4:
% 1.74/3.76 P_k3_tex_4-{F}(V0,V1,V2), P_u1_struct_0-{F}(V0,V3), pppp0-{F}(V0,V1), V2 == V3 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #73: input, references = 3, size of lhs = 3:
% 1.74/3.76 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)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #74: input, references = 4, size of lhs = 5:
% 1.74/3.76 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)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #75: input, references = 3, size of lhs = 1:
% 1.74/3.76 l1_pre_topc-{F}(V0) | l1_struct_0-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #76: input, references = 3, size of lhs = 0:
% 1.74/3.76 FALSE | EXISTS V0: pppp7-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #77: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp7-{F}(V0) | l1_pre_topc-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #78: input, references = 3, size of lhs = 0:
% 1.74/3.76 FALSE | EXISTS V0: pppp8-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #79: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp8-{F}(V0) | l1_struct_0-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #80: input, references = 3, size of lhs = 1:
% 1.74/3.76 #-{F} V0 | EXISTS V1: pppp9-{T}(V0,V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #81: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp9-{F}(V0,V1) | m1_subset_1-{T}(V1,V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #82: input, references = 3, size of lhs = 3:
% 1.74/3.76 P_u1_struct_0-{F}(V0,V1), l1_struct_0-{F}(V0), v1_xboole_0-{F}(V1) | v3_struct_0-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #83: input, references = 3, size of lhs = 2:
% 1.74/3.76 P_k1_zfmisc_1-{F}(V0,V1), v1_xboole_0-{F}(V1) | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #84: input, references = 3, size of lhs = 1:
% 1.74/3.76 P_k1_xboole_0-{F}(V0) | pppp10-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #85: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp10-{F}(V0) | v5_membered-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #86: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp10-{F}(V0) | v4_membered-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #87: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp10-{F}(V0) | v3_membered-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #88: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp10-{F}(V0) | v2_membered-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #89: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp10-{F}(V0) | v1_membered-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #90: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp10-{F}(V0) | v1_xboole_0-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #91: input, references = 3, size of lhs = 1:
% 1.74/3.76 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #92: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp12-{F}(V0) | pppp11-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #93: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp11-{F}(V0) | v5_membered-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #94: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp11-{F}(V0) | v4_membered-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #95: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp11-{F}(V0) | v3_membered-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #96: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp11-{F}(V0) | v2_membered-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #97: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp11-{F}(V0) | v1_membered-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #98: input, references = 3, size of lhs = 2:
% 1.74/3.76 pppp11-{F}(V0), v1_xboole_0-{F}(V0) | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #99: input, references = 4, size of lhs = 2:
% 1.74/3.76 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2) | v1_xboole_0-{T}(V1), pppp26-{T}(V2)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #100: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp26-{F}(V0) | EXISTS V1: pppp13-{T}(V1,V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #101: input, references = 3, size of lhs = 2:
% 1.74/3.76 pppp13-{F}(V0,V1), v1_xboole_0-{F}(V0) | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #102: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp13-{F}(V0,V1) | m1_subset_1-{T}(V0,V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #103: input, references = 3, size of lhs = 5:
% 1.74/3.76 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)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #104: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp14-{F}(V0,V1,V2) | v3_pre_topc-{T}(V1,V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #105: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp14-{F}(V0,V1,V2) | m1_subset_1-{T}(V1,V2)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #106: input, references = 4, size of lhs = 2:
% 1.74/3.76 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2) | EXISTS V3: pppp15-{T}(V3,V2)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #107: input, references = 4, size of lhs = 1:
% 1.74/3.76 pppp15-{F}(V0,V1) | v1_xboole_0-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #108: input, references = 4, size of lhs = 1:
% 1.74/3.76 pppp15-{F}(V0,V1) | m1_subset_1-{T}(V0,V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #109: input, references = 3, size of lhs = 5:
% 1.74/3.76 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)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #110: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp16-{F}(V0,V1,V2) | v4_pre_topc-{T}(V1,V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #111: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp16-{F}(V0,V1,V2) | v3_pre_topc-{T}(V1,V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #112: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp16-{F}(V0,V1,V2) | m1_subset_1-{T}(V1,V2)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #113: input, references = 3, size of lhs = 1:
% 1.74/3.76 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp17-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #114: input, references = 3, size of lhs = 2:
% 1.74/3.76 pppp17-{F}(V0), v3_struct_0-{F}(V0) | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #115: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp17-{F}(V0) | l1_struct_0-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #116: input, references = 4, size of lhs = 5:
% 1.74/3.76 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)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #117: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp27-{F}(V0,V1) | EXISTS V2: pppp18-{T}(V0,V2,V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #118: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp18-{F}(V0,V1,V2) | v4_pre_topc-{T}(V1,V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #119: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp18-{F}(V0,V1,V2) | v3_pre_topc-{T}(V1,V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #120: input, references = 3, size of lhs = 2:
% 1.74/3.76 pppp18-{F}(V0,V1,V2), v1_xboole_0-{F}(V1) | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #121: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp18-{F}(V0,V1,V2) | m1_subset_1-{T}(V1,V2)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #122: input, references = 4, size of lhs = 4:
% 1.74/3.76 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)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #123: input, references = 5, size of lhs = 1:
% 1.74/3.76 pppp20-{F}(V0,V1,V2) | pppp19-{T}(V0,V2,V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #124: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp19-{F}(V0,V1,V2) | v2_tops_1-{T}(V1,V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #125: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp19-{F}(V0,V1,V2) | v5_membered-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #126: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp19-{F}(V0,V1,V2) | v4_membered-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #127: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp19-{F}(V0,V1,V2) | v3_membered-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #128: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp19-{F}(V0,V1,V2) | v2_membered-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #129: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp19-{F}(V0,V1,V2) | v1_membered-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #130: input, references = 5, size of lhs = 1:
% 1.74/3.76 pppp19-{F}(V0,V1,V2) | v1_xboole_0-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #131: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp19-{F}(V0,V1,V2) | m1_subset_1-{T}(V1,V2)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #132: input, references = 5, size of lhs = 4:
% 1.74/3.76 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)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #133: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp28-{F}(V0) | EXISTS V1: pppp21-{T}(V1,V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #134: input, references = 3, size of lhs = 2:
% 1.74/3.76 pppp21-{F}(V0,V1), v1_xboole_0-{F}(V0) | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #135: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp21-{F}(V0,V1) | m1_subset_1-{T}(V0,V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #136: input, references = 4, size of lhs = 5:
% 1.74/3.76 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)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #137: input, references = 5, size of lhs = 1:
% 1.74/3.76 pppp23-{F}(V0,V1,V2) | pppp22-{T}(V0,V2,V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #138: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp22-{F}(V0,V1,V2) | v3_tops_1-{T}(V1,V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #139: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp22-{F}(V0,V1,V2) | v2_tops_1-{T}(V1,V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #140: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp22-{F}(V0,V1,V2) | v5_membered-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #141: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp22-{F}(V0,V1,V2) | v4_membered-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #142: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp22-{F}(V0,V1,V2) | v3_membered-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #143: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp22-{F}(V0,V1,V2) | v2_membered-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #144: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp22-{F}(V0,V1,V2) | v1_membered-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #145: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp22-{F}(V0,V1,V2) | v4_pre_topc-{T}(V1,V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #146: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp22-{F}(V0,V1,V2) | v3_pre_topc-{T}(V1,V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #147: input, references = 5, size of lhs = 1:
% 1.74/3.76 pppp22-{F}(V0,V1,V2) | v1_xboole_0-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #148: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp22-{F}(V0,V1,V2) | m1_subset_1-{T}(V1,V2)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #149: input, references = 3, size of lhs = 5:
% 1.74/3.76 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)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #150: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp24-{F}(V0,V1,V2) | v4_pre_topc-{T}(V1,V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #151: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp24-{F}(V0,V1,V2) | m1_subset_1-{T}(V1,V2)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #152: input, references = 4, size of lhs = 5:
% 1.74/3.76 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)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #153: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp29-{F}(V0,V1) | EXISTS V2: pppp25-{T}(V0,V2,V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #154: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp25-{F}(V0,V1,V2) | v4_pre_topc-{T}(V1,V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #155: input, references = 3, size of lhs = 2:
% 1.74/3.76 pppp25-{F}(V0,V1,V2), v1_xboole_0-{F}(V1) | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #156: input, references = 3, size of lhs = 1:
% 1.74/3.76 pppp25-{F}(V0,V1,V2) | m1_subset_1-{T}(V1,V2)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #157: input, references = 4, size of lhs = 2:
% 1.74/3.76 P_k1_xboole_0-{F}(V0), #-{F} V1 | r1_tarski-{T}(V1,V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #158: input, references = 3, size of lhs = 2:
% 1.74/3.76 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2) | m1_subset_1-{T}(V1,V2)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #159: input, references = 4, size of lhs = 2:
% 1.74/3.76 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V2,V1) | v1_xboole_0-{T}(V1), r2_hidden-{T}(V2,V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #160: input, references = 3, size of lhs = 3:
% 1.74/3.76 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V2,V3), m1_subset_1-{F}(V1,V3) | r1_tarski-{T}(V1,V2)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #161: input, references = 4, size of lhs = 3:
% 1.74/3.76 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V2,V3), r1_tarski-{F}(V1,V2) | m1_subset_1-{T}(V1,V3)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #162: input, references = 3, size of lhs = 4:
% 1.74/3.76 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)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #163: input, references = 5, size of lhs = 9:
% 1.74/3.76 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), m1_subset_1-{F}(V4,V3), v3_pre_topc-{F}(V4,V1), V5 == V4 | v3_struct_0-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #164: input, references = 3, size of lhs = 5:
% 1.74/3.76 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
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #165: input, references = 4, size of lhs = 4:
% 1.74/3.76 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V3), m1_subset_1-{F}(V1,V3), v1_tex_2-{F}(V1,V3) | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #166: input, references = 3, size of lhs = 4:
% 1.74/3.76 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V3), m1_subset_1-{F}(V2,V3), V2 == V1 | v1_tex_2-{T}(V2,V3)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #167: input, references = 4, size of lhs = 9:
% 1.74/3.76 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), m1_subset_1-{F}(V4,V3), v4_pre_topc-{F}(V4,V1), V5 == V4 | v3_struct_0-{T}(V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #168: input, references = 6, size of lhs = 3:
% 1.74/3.76 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V1 == V0 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #169: input, references = 3, size of lhs = 3:
% 1.74/3.76 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), r2_hidden-{F}(V2,V1) | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #170: input, references = 5, size of lhs = 4:
% 1.74/3.76 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), v1_xboole_0-{F}(V2), V2 == V1 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #171: input, references = 6, size of lhs = 1:
% 1.74/3.76 #-{F} V0 | EXISTS V1: P_k1_zfmisc_1-{T}(V0,V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #172: input, references = 5, size of lhs = 1:
% 1.74/3.76 #-{F} V0 | EXISTS V1: P_u1_struct_0-{T}(V0,V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #173: input, references = 5, size of lhs = 2:
% 1.74/3.76 #-{F} V0, #-{F} V1 | EXISTS V2: P_k3_tex_4-{T}(V0,V1,V2)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #174: input, references = 4, size of lhs = 0:
% 1.74/3.76 FALSE | EXISTS V0: P_k1_xboole_0-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 number of initial rules = 175
% 1.74/3.76
% 1.74/3.76 Simplifiers:
% 1.74/3.76 #175: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 v2_pre_topc-{F}(V0), v2_pre_topc-{F}(V1), V0 == V1 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #176: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 v3_pre_topc-{F}(V0,V1), v3_pre_topc-{F}(V2,V3), V1 == V3 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #177: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 v4_pre_topc-{F}(V0,V1), v4_pre_topc-{F}(V2,V3), V1 == V3 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #178: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 v1_tsp_2-{F}(V0,V1), v1_tsp_2-{F}(V2,V3), V1 == V3 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #179: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 v3_tops_1-{F}(V0,V1), v3_tops_1-{F}(V2,V3), V1 == V3 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #180: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 v1_tsp_1-{F}(V0,V1), v1_tsp_1-{F}(V2,V3), V1 == V3 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #181: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #182: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 P_k1_zfmisc_1-{F}(V0,V1), P_k1_zfmisc_1-{F}(V0,V3), V1 == V3 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #183: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 P_u1_struct_0-{F}(V0,V1), P_u1_struct_0-{F}(V0,V3), V1 == V3 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #184: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 P_k3_tex_4-{F}(V0,V1,V2), P_k3_tex_4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #185: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 P_k1_xboole_0-{F}(V0), P_k1_xboole_0-{F}(V1), V0 == V1 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #186: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V4,V2), V1 == V4 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #187: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V4,V5), V0 == V3 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #188: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #189: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp6-{F}(V0,V1), pppp6-{F}(V2,V3), V0 == V2 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #190: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #191: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #192: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #193: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #194: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #195: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #196: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp13-{F}(V0,V1), pppp13-{F}(V2,V1), V0 == V2 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #197: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp14-{F}(V0,V1,V2), pppp14-{F}(V0,V4,V2), V1 == V4 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #198: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V4,V5), V0 == V3 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #199: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp15-{F}(V0,V1), pppp15-{F}(V2,V1), V0 == V2 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #200: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp16-{F}(V0,V1,V2), pppp16-{F}(V0,V4,V2), V1 == V4 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #201: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp16-{F}(V0,V1,V2), pppp16-{F}(V3,V4,V5), V0 == V3 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #202: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #203: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V4,V2), V1 == V4 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #204: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp18-{F}(V0,V1,V2), pppp18-{F}(V3,V4,V5), V0 == V3 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #205: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp19-{F}(V0,V1,V2), pppp19-{F}(V0,V4,V2), V1 == V4 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #206: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp20-{F}(V0,V1,V2), pppp20-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #207: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp21-{F}(V0,V1), pppp21-{F}(V2,V1), V0 == V2 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #208: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp22-{F}(V0,V1,V2), pppp22-{F}(V0,V4,V2), V1 == V4 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #209: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp22-{F}(V0,V1,V2), pppp22-{F}(V3,V4,V5), V0 == V3 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #210: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp23-{F}(V0,V1,V2), pppp23-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #211: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp23-{F}(V0,V1,V2), pppp23-{F}(V3,V4,V5), V0 == V3 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #212: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp24-{F}(V0,V1,V2), pppp24-{F}(V0,V4,V2), V1 == V4 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #213: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp24-{F}(V0,V1,V2), pppp24-{F}(V3,V4,V5), V0 == V3 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #214: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp25-{F}(V0,V1,V2), pppp25-{F}(V0,V4,V2), V1 == V4 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #215: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp25-{F}(V0,V1,V2), pppp25-{F}(V3,V4,V5), V0 == V3 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #216: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp27-{F}(V0,V1), pppp27-{F}(V2,V3), V0 == V2 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #217: unsound, references = 3, size of lhs = 3:
% 1.74/3.76 pppp29-{F}(V0,V1), pppp29-{F}(V2,V3), V0 == V2 | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 number of simplifiers = 43
% 1.74/3.76
% 1.74/3.76 Learnt:
% 1.74/3.76 #224: mergings( V0 == V3; #220 ), references = 1, size of lhs = 3:
% 1.74/3.76 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), V1 == V0 | pppp26-{T}(V2)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #227: mergings( V0 == V3, V1 == V3; #221 ), references = 1, size of lhs = 4:
% 1.74/3.76 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V0 == V1, P_k1_zfmisc_1-{F}(V0,V2) | pppp26-{T}(V2)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #229: mergings( V1 == V0; #222 ), references = 1, size of lhs = 3:
% 1.74/3.76 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V0), P_k1_zfmisc_1-{F}(V0,V2) | pppp26-{T}(V2)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #235: disj( #159, input ), references = 2, size of lhs = 3:
% 1.74/3.76 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V1,V2), P_k1_zfmisc_1-{F}(V3,V2) | r2_hidden-{T}(V1,V2)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #237: mergings( V0 == V3; #233 ), references = 1, size of lhs = 3:
% 1.74/3.76 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V1,V2), V2 == V0 | r2_hidden-{T}(V1,V2)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #240: mergings( V0 == V3, V2 == V3; #234 ), references = 1, size of lhs = 4:
% 1.74/3.76 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V0 == V1, m1_subset_1-{F}(V2,V0) | r2_hidden-{T}(V2,V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #247: mergings( V0 == V4; #245 ), references = 2, size of lhs = 2:
% 1.74/3.76 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2) | pppp15-{T}(V0,V2)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #265: mergings( V2 == V3; #262 ), references = 1, size of lhs = 7:
% 1.74/3.76 v1_xboole_0-{F}(V0), P_k1_xboole_0-{F}(V0), l1_pre_topc-{F}(V1), pppp2-{F}(V1), P_k3_tex_4-{F}(V1,V0,V2), V2 == V0, P_u1_struct_0-{F}(V1,V3) | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #269: mergings( V1 == V3; #266 ), references = 1, size of lhs = 5:
% 1.74/3.76 v1_xboole_0-{F}(V0), P_k1_xboole_0-{F}(V0), l1_pre_topc-{F}(V1), pppp2-{F}(V1), P_u1_struct_0-{F}(V1,V2) | P_k3_tex_4-{T}(V1,V0,V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #283: mergings( V2 == V4, V3 == V5; #280 ), references = 1, size of lhs = 5:
% 1.74/3.76 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)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #302: mergings( V0 == V5; #299 ), references = 1, size of lhs = 4:
% 1.74/3.76 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)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #304: mergings( V0 == V5; #300 ), references = 1, size of lhs = 5:
% 1.74/3.76 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)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #317: mergings( V2 == V4, V3 == V5; #314 ), references = 1, size of lhs = 6:
% 1.74/3.76 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)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #331: mergings( V2 == V4, V3 == V5; #328 ), references = 1, size of lhs = 6:
% 1.74/3.76 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)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #358: mergings( V0 == V5; #355 ), references = 1, size of lhs = 5:
% 1.74/3.76 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)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #360: mergings( V0 == V5; #356 ), references = 1, size of lhs = 6:
% 1.74/3.76 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), v1_xboole_0-{F}(V4) | pppp23-{T}(V0,V2,V4)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #380: disj( #74, #235+#9 ), references = 1, size of lhs = 7:
% 1.74/3.76 l1_pre_topc-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), P_k3_tex_4-{F}(V0,V3,V2), m1_subset_1-{F}(V3,V2), P_k1_xboole_0-{F}(V4), P_k1_zfmisc_1-{F}(V5,V2) | v3_struct_0-{T}(V0)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #401: mergings( V1 == V4, V2 == V5; #398 ), references = 2, size of lhs = 7:
% 1.74/3.76 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)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #453: exists( #173, #72 ), references = 2, size of lhs = 2:
% 1.74/3.76 P_u1_struct_0-{F}(V0,V1), pppp0-{F}(V0,V2) | P_k3_tex_4-{T}(V0,V2,V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #459: disj( #132, input ), references = 1, size of lhs = 5:
% 1.74/3.76 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)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #494: mergings( V4 == V7, V5 == V8; #491 ), references = 1, size of lhs = 10:
% 1.74/3.76 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), pppp1-{F}(V1,V4,V5), P_k3_tex_4-{F}(V1,V4,V6), V6 == V4 | v3_pre_topc-{T}(V4,V1)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #511: mergings( V1 == V6, V6 == V7, V7 == V8, V8 == V9, V2 == V10, V9 == V11, V11 == V12, V10 == V13, V4 == V5; #501 ), references = 1, size of lhs = 6:
% 1.74/3.76 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) | pppp1-{T}(V1,V2,V3)
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #520: mergings( V2 == V3, V3 == V4, V4 == V6; #516 ), references = 2, size of lhs = 5:
% 1.74/3.76 l1_pre_topc-{F}(V0), pppp2-{F}(V0), P_u1_struct_0-{F}(V0,V1), r1_tarski-{F}(V1,V1), P_k1_xboole_0-{F}(V2) | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #524: mergings( V2 == V3; #522 ), references = 1, size of lhs = 3:
% 1.74/3.76 l1_pre_topc-{F}(V0), pppp2-{F}(V0), P_k1_xboole_0-{F}(V1) | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #526: exists( #174, #522 ), references = 2, size of lhs = 2:
% 1.74/3.76 l1_pre_topc-{F}(V0), pppp2-{F}(V0) | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #542: exists( #171, #536 ), references = 1, size of lhs = 2:
% 1.74/3.76 pppp2-{F}(V0), P_u1_struct_0-{F}(V0,V1) | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #545: exists( #172, #539 ), references = 1, size of lhs = 1:
% 1.74/3.76 pppp2-{F}(V0) | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 #547: exists( #0, #543 ), references = 1, size of lhs = 0:
% 1.74/3.76 FALSE | FALSE
% 1.74/3.76 (used 0 times, uses = {})
% 1.74/3.76
% 1.74/3.76 number of learnt formulas = 28
% 1.74/3.76
% 1.74/3.76
% 1.74/3.76 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.74/3.76
% 1.74/3.76 randbase = 1
%------------------------------------------------------------------------------