TSTP Solution File: GRP642+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP642+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n003.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 06:04:17 EDT 2022
% Result : Theorem 43.33s 43.54s
% Output : Refutation 43.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP642+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 13:55:23 EDT 2022
% 0.13/0.35 % CPUTime :
% 43.33/43.54 GeoParameters:
% 43.33/43.54
% 43.33/43.54 tptp_input = 1
% 43.33/43.54 tptp_output = 0
% 43.33/43.54 nonempty = 1
% 43.33/43.54 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.33/43.54 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 43.33/43.54
% 43.33/43.54
% 43.33/43.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.33/43.54 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.33/43.54
% 43.33/43.54 RuleSystem INPUT:
% 43.33/43.54
% 43.33/43.54 Initial Rules:
% 43.33/43.54 #0: input, references = 4, size of lhs = 1:
% 43.33/43.54 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp3-{T}(V0,V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #1: input, references = 5, size of lhs = 2:
% 43.33/43.54 pppp3-{F}(V0,V1), P_k1_latsubgr-{F}(V1,V2) | pppp2-{T}(V1,V2,V0)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #2: input, references = 4, size of lhs = 1:
% 43.33/43.54 pppp2-{F}(V0,V1,V2) | EXISTS V3: pppp1-{T}(V0,V3,V1,V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #3: input, references = 4, size of lhs = 1:
% 43.33/43.54 pppp2-{F}(V0,V1,V2) | l1_group_1-{T}(V0)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #4: input, references = 5, size of lhs = 1:
% 43.33/43.54 pppp2-{F}(V0,V1,V2) | v4_group_1-{T}(V0)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #5: input, references = 5, size of lhs = 1:
% 43.33/43.54 pppp2-{F}(V0,V1,V2) | v3_group_1-{T}(V0)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #6: input, references = 5, size of lhs = 2:
% 43.33/43.54 pppp2-{F}(V0,V1,V2), v3_struct_0-{F}(V0) | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #7: input, references = 4, size of lhs = 3:
% 43.33/43.54 pppp1-{F}(V0,V1,V2,V3), P_k1_funct_1-{F}(V2,V1,V4), V4 == V3 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #8: input, references = 4, size of lhs = 2:
% 43.33/43.54 pppp1-{F}(V0,V1,V2,V3), P_k1_funct_1-{F}(V2,V1,V4) | m1_group_2-{T}(V1,V0)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #9: input, references = 4, size of lhs = 2:
% 43.33/43.54 pppp1-{F}(V0,V1,V2,V3), P_k1_funct_1-{F}(V2,V1,V4) | v1_group_1-{T}(V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #10: input, references = 4, size of lhs = 7:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), P_u1_struct_0-{F}(V1,V2), P_u1_group_1-{F}(V1,V3), P_g1_group_1-{F}(V2,V3,V4), l1_group_1-{F}(V1), v1_group_1-{F}(V1), V1 == V4 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #11: input, references = 5, size of lhs = 3:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2), r2_hidden-{F}(V2,V1) | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #12: input, references = 3, size of lhs = 4:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v1_funct_1-{F}(V1), m1_relset_1-{F}(V1,V3,V2), v1_partfun1-{F}(V1,V3,V2) | v1_funct_2-{T}(V1,V3,V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #13: input, references = 3, size of lhs = 4:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), P_k2_zfmisc_1-{F}(V3,V2,V4), P_k1_zfmisc_1-{F}(V4,V5), m1_subset_1-{F}(V1,V5) | v1_relat_1-{T}(V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #14: input, references = 4, size of lhs = 4:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v1_funct_1-{F}(V2), m1_relset_1-{F}(V2,V3,V1), v1_funct_2-{F}(V2,V3,V1) | v1_xboole_0-{T}(V1), v1_partfun1-{T}(V2,V3,V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #15: input, references = 4, size of lhs = 5:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), m1_relset_1-{F}(V3,V2,V1), v1_funct_1-{F}(V3), v1_funct_2-{F}(V3,V2,V1), v1_xboole_0-{F}(V3) | v1_xboole_0-{T}(V1), v1_xboole_0-{T}(V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #16: input, references = 3, size of lhs = 4:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), m1_relset_1-{F}(V3,V2,V1), v1_funct_1-{F}(V3), v1_funct_2-{F}(V3,V2,V1) | v1_xboole_0-{T}(V1), v1_xboole_0-{T}(V2), v1_partfun1-{T}(V3,V2,V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #17: input, references = 4, size of lhs = 11:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), P_k1_group_3-{F}(V1,V2), P_u1_struct_0-{F}(V1,V3), P_k1_zfmisc_1-{F}(V3,V4), P_k1_latsubgr-{F}(V1,V5), v3_group_1-{F}(V1), v4_group_1-{F}(V1), l1_group_1-{F}(V1), v1_funct_1-{F}(V5), v1_funct_2-{F}(V5,V2,V4), m2_relset_1-{F}(V5,V2,V4) | v3_struct_0-{T}(V1), pppp0-{T}(V1,V5)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #18: input, references = 4, size of lhs = 13:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), P_k1_group_3-{F}(V1,V2), P_u1_struct_0-{F}(V1,V3), P_k1_zfmisc_1-{F}(V3,V4), P_k1_latsubgr-{F}(V1,V5), v3_group_1-{F}(V1), v4_group_1-{F}(V1), l1_group_1-{F}(V1), v1_funct_1-{F}(V6), v1_funct_2-{F}(V6,V2,V4), m2_relset_1-{F}(V6,V2,V4), pppp0-{F}(V1,V6), V6 == V5 | v3_struct_0-{T}(V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #19: input, references = 6, size of lhs = 7:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), pppp0-{F}(V1,V2), P_k1_funct_1-{F}(V2,V3,V4), P_u1_struct_0-{F}(V3,V5), v1_group_1-{F}(V3), m1_group_2-{F}(V3,V1), V4 == V5 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #20: input, references = 6, size of lhs = 3:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), #-{F} V1, #-{F} V2 | pppp0-{T}(V1,V2), pppp19-{T}(V1,V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #21: input, references = 3, size of lhs = 1:
% 43.33/43.54 pppp19-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #22: input, references = 3, size of lhs = 3:
% 43.33/43.54 pppp4-{F}(V0,V1,V2), P_k1_funct_1-{F}(V1,V2,V4), P_u1_struct_0-{F}(V2,V4) | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #23: input, references = 4, size of lhs = 3:
% 43.33/43.54 pppp4-{F}(V0,V1,V2), P_k1_funct_1-{F}(V1,V2,V3), P_u1_struct_0-{F}(V2,V4) | m1_group_2-{T}(V2,V0)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #24: input, references = 3, size of lhs = 3:
% 43.33/43.54 pppp4-{F}(V0,V1,V2), P_k1_funct_1-{F}(V1,V2,V3), P_u1_struct_0-{F}(V2,V4) | v1_group_1-{T}(V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #25: input, references = 3, size of lhs = 6:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v1_funct_1-{F}(V1), P_k2_zfmisc_1-{F}(V2,V2,V3), P_g1_group_1-{F}(V2,V1,V4), v1_funct_2-{F}(V1,V3,V2), m1_relset_1-{F}(V1,V3,V2) | v1_group_1-{T}(V4)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #26: input, references = 3, size of lhs = 6:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v1_funct_1-{F}(V1), P_k2_zfmisc_1-{F}(V2,V2,V3), P_g1_group_1-{F}(V2,V1,V4), v1_funct_2-{F}(V1,V3,V2), m1_relset_1-{F}(V1,V3,V2) | l1_group_1-{T}(V4)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #27: input, references = 4, size of lhs = 8:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), P_k1_latsubgr-{F}(V1,V2), P_k1_group_3-{F}(V1,V3), P_u1_struct_0-{F}(V1,V4), P_k1_zfmisc_1-{F}(V4,V5), v3_group_1-{F}(V1), v4_group_1-{F}(V1), l1_group_1-{F}(V1) | v3_struct_0-{T}(V1), v1_funct_1-{T}(V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #28: input, references = 4, size of lhs = 8:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), P_k1_latsubgr-{F}(V1,V2), P_k1_group_3-{F}(V1,V3), P_u1_struct_0-{F}(V1,V4), P_k1_zfmisc_1-{F}(V4,V5), v3_group_1-{F}(V1), v4_group_1-{F}(V1), l1_group_1-{F}(V1) | v3_struct_0-{T}(V1), v1_funct_2-{T}(V2,V3,V5)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #29: input, references = 4, size of lhs = 8:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), P_k1_latsubgr-{F}(V1,V2), P_k1_group_3-{F}(V1,V3), P_u1_struct_0-{F}(V1,V4), P_k1_zfmisc_1-{F}(V4,V5), v3_group_1-{F}(V1), v4_group_1-{F}(V1), l1_group_1-{F}(V1) | v3_struct_0-{T}(V1), m2_relset_1-{T}(V2,V3,V5)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #30: input, references = 4, size of lhs = 2:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), l1_group_1-{F}(V1) | l1_struct_0-{T}(V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #31: input, references = 4, size of lhs = 5:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v3_group_1-{F}(V1), l1_group_1-{F}(V1), m1_group_2-{F}(V2,V1), v3_struct_0-{F}(V2) | v3_struct_0-{T}(V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #32: input, references = 4, size of lhs = 4:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v3_group_1-{F}(V1), l1_group_1-{F}(V1), m1_group_2-{F}(V2,V1) | v3_struct_0-{T}(V1), v3_group_1-{T}(V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #33: input, references = 5, size of lhs = 4:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v3_group_1-{F}(V1), l1_group_1-{F}(V1), m1_group_2-{F}(V2,V1) | v3_struct_0-{T}(V1), l1_group_1-{T}(V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #34: input, references = 15, size of lhs = 4:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), P_k2_zfmisc_1-{F}(V1,V2,V4), P_k1_zfmisc_1-{F}(V4,V5), m2_relset_1-{F}(V3,V1,V2) | m1_subset_1-{T}(V3,V5)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #35: input, references = 4, size of lhs = 5:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), P_u1_group_1-{F}(V1,V2), P_u1_struct_0-{F}(V1,V3), P_k2_zfmisc_1-{F}(V3,V3,V4), l1_group_1-{F}(V1) | v1_funct_1-{T}(V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #36: input, references = 6, size of lhs = 5:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), P_u1_group_1-{F}(V1,V2), P_u1_struct_0-{F}(V1,V3), P_k2_zfmisc_1-{F}(V3,V3,V4), l1_group_1-{F}(V1) | v1_funct_2-{T}(V2,V4,V3)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #37: input, references = 7, size of lhs = 5:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), P_u1_group_1-{F}(V1,V2), P_u1_struct_0-{F}(V1,V3), P_k2_zfmisc_1-{F}(V3,V3,V4), l1_group_1-{F}(V1) | m2_relset_1-{T}(V2,V4,V3)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #38: input, references = 3, size of lhs = 1:
% 43.33/43.54 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #39: input, references = 3, size of lhs = 1:
% 43.33/43.54 pppp5-{F}(V0) | l1_group_1-{T}(V0)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #40: input, references = 3, size of lhs = 1:
% 43.33/43.54 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #41: input, references = 3, size of lhs = 1:
% 43.33/43.54 pppp6-{F}(V0) | l1_struct_0-{T}(V0)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #42: input, references = 4, size of lhs = 3:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v3_group_1-{F}(V1), l1_group_1-{F}(V1) | v3_struct_0-{T}(V1), pppp20-{T}(V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #43: input, references = 3, size of lhs = 1:
% 43.33/43.54 pppp20-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #44: input, references = 3, size of lhs = 1:
% 43.33/43.54 pppp7-{F}(V0,V1) | m1_group_2-{T}(V1,V0)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #45: input, references = 4, size of lhs = 3:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), #-{F} V1, #-{F} V2 | EXISTS V3: pppp8-{T}(V1,V2,V3)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #46: input, references = 4, size of lhs = 1:
% 43.33/43.54 pppp8-{F}(V0,V1,V2) | m1_relset_1-{T}(V2,V0,V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #47: input, references = 6, size of lhs = 2:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), #-{F} V1 | EXISTS V2: pppp9-{T}(V1,V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #48: input, references = 6, size of lhs = 1:
% 43.33/43.54 pppp9-{F}(V0,V1) | m1_subset_1-{T}(V1,V0)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #49: input, references = 4, size of lhs = 3:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), #-{F} V1, #-{F} V2 | EXISTS V3: pppp10-{T}(V1,V2,V3)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #50: input, references = 4, size of lhs = 1:
% 43.33/43.54 pppp10-{F}(V0,V1,V2) | m2_relset_1-{T}(V2,V0,V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #51: input, references = 3, size of lhs = 6:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), P_k1_group_3-{F}(V1,V2), v3_group_1-{F}(V1), v4_group_1-{F}(V1), l1_group_1-{F}(V1), v1_xboole_0-{F}(V2) | v3_struct_0-{T}(V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #52: input, references = 4, size of lhs = 4:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), P_u1_struct_0-{F}(V1,V2), l1_struct_0-{F}(V1), v1_xboole_0-{F}(V2) | v3_struct_0-{T}(V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #53: input, references = 3, size of lhs = 3:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), v1_xboole_0-{F}(V2) | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #54: input, references = 4, size of lhs = 1:
% 43.33/43.54 P_k1_xboole_0-{F}(V0) | v1_xboole_0-{T}(V0)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #55: input, references = 3, size of lhs = 3:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), P_k2_zfmisc_1-{F}(V2,V1,V3), v1_xboole_0-{F}(V3) | v1_xboole_0-{T}(V1), v1_xboole_0-{T}(V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #56: input, references = 5, size of lhs = 8:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v1_funct_1-{F}(V1), P_k2_zfmisc_1-{F}(V2,V2,V3), P_g1_group_1-{F}(V2,V1,V7), v1_funct_2-{F}(V1,V3,V2), m1_relset_1-{F}(V1,V3,V2), P_g1_group_1-{F}(V5,V6,V7), V2 == V5 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #57: input, references = 5, size of lhs = 8:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v1_funct_1-{F}(V1), P_k2_zfmisc_1-{F}(V2,V2,V3), P_g1_group_1-{F}(V2,V1,V7), v1_funct_2-{F}(V1,V3,V2), m1_relset_1-{F}(V1,V3,V2), P_g1_group_1-{F}(V5,V6,V7), V1 == V6 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #58: input, references = 4, size of lhs = 3:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), #-{F} V1, #-{F} V2 | EXISTS V3: pppp11-{T}(V1,V2,V3)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #59: input, references = 3, size of lhs = 1:
% 43.33/43.54 pppp11-{F}(V0,V1,V2) | v1_funct_2-{T}(V2,V0,V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #60: input, references = 3, size of lhs = 1:
% 43.33/43.54 pppp11-{F}(V0,V1,V2) | v1_funct_1-{T}(V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #61: input, references = 3, size of lhs = 1:
% 43.33/43.54 pppp11-{F}(V0,V1,V2) | v1_relat_1-{T}(V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #62: input, references = 4, size of lhs = 1:
% 43.33/43.54 pppp11-{F}(V0,V1,V2) | m1_relset_1-{T}(V2,V0,V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #63: input, references = 4, size of lhs = 2:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2) | v1_xboole_0-{T}(V1), pppp21-{T}(V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #64: input, references = 3, size of lhs = 1:
% 43.33/43.54 pppp21-{F}(V0) | EXISTS V1: pppp12-{T}(V1,V0)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #65: input, references = 3, size of lhs = 2:
% 43.33/43.54 pppp12-{F}(V0,V1), v1_xboole_0-{F}(V0) | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #66: input, references = 3, size of lhs = 1:
% 43.33/43.54 pppp12-{F}(V0,V1) | m1_subset_1-{T}(V0,V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #67: input, references = 4, size of lhs = 1:
% 43.33/43.54 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #68: input, references = 5, size of lhs = 1:
% 43.33/43.54 pppp13-{F}(V0) | v1_xboole_0-{T}(V0)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #69: input, references = 4, size of lhs = 3:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), #-{F} V1, #-{F} V2 | EXISTS V3: pppp14-{T}(V1,V2,V3)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #70: input, references = 3, size of lhs = 1:
% 43.33/43.54 pppp14-{F}(V0,V1,V2) | v1_funct_1-{T}(V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #71: input, references = 3, size of lhs = 1:
% 43.33/43.54 pppp14-{F}(V0,V1,V2) | v1_relat_1-{T}(V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #72: input, references = 4, size of lhs = 1:
% 43.33/43.54 pppp14-{F}(V0,V1,V2) | m1_relset_1-{T}(V2,V0,V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #73: input, references = 4, size of lhs = 2:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2) | EXISTS V3: pppp15-{T}(V3,V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #74: input, references = 4, size of lhs = 1:
% 43.33/43.54 pppp15-{F}(V0,V1) | v1_xboole_0-{T}(V0)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #75: input, references = 3, size of lhs = 1:
% 43.33/43.54 pppp15-{F}(V0,V1) | m1_subset_1-{T}(V0,V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #76: input, references = 3, size of lhs = 1:
% 43.33/43.54 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp16-{T}(V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #77: input, references = 3, size of lhs = 2:
% 43.33/43.54 pppp16-{F}(V0), v1_xboole_0-{F}(V0) | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #78: input, references = 3, size of lhs = 1:
% 43.33/43.54 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp17-{T}(V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #79: input, references = 3, size of lhs = 2:
% 43.33/43.54 pppp17-{F}(V0), v3_struct_0-{F}(V0) | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #80: input, references = 3, size of lhs = 1:
% 43.33/43.54 pppp17-{F}(V0) | l1_struct_0-{T}(V0)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #81: input, references = 5, size of lhs = 4:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), l1_struct_0-{F}(V1) | v3_struct_0-{T}(V1), pppp22-{T}(V3)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #82: input, references = 3, size of lhs = 1:
% 43.33/43.54 pppp22-{F}(V0) | EXISTS V1: pppp18-{T}(V1,V0)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #83: input, references = 3, size of lhs = 2:
% 43.33/43.54 pppp18-{F}(V0,V1), v1_xboole_0-{F}(V0) | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #84: input, references = 3, size of lhs = 1:
% 43.33/43.54 pppp18-{F}(V0,V1) | m1_subset_1-{T}(V0,V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #85: input, references = 6, size of lhs = 2:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), m2_relset_1-{F}(V3,V1,V2) | m1_relset_1-{T}(V3,V1,V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #86: input, references = 6, size of lhs = 2:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), m1_relset_1-{F}(V3,V1,V2) | m2_relset_1-{T}(V3,V1,V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #87: input, references = 3, size of lhs = 2:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), #-{F} V1 | r1_tarski-{T}(V1,V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #88: input, references = 3, size of lhs = 2:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2) | m1_subset_1-{T}(V1,V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #89: input, references = 4, size of lhs = 2:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V2,V1) | v1_xboole_0-{T}(V1), r2_hidden-{T}(V2,V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #90: input, references = 3, size of lhs = 3:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V2,V3), m1_subset_1-{F}(V1,V3) | r1_tarski-{T}(V1,V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #91: input, references = 3, size of lhs = 3:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V2,V3), r1_tarski-{F}(V1,V2) | m1_subset_1-{T}(V1,V3)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #92: input, references = 11, size of lhs = 4:
% 43.33/43.54 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)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #93: input, references = 6, size of lhs = 5:
% 43.33/43.54 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
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #94: input, references = 6, size of lhs = 3:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V1 == V0 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #95: input, references = 3, size of lhs = 3:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), r2_hidden-{F}(V2,V1) | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #96: input, references = 4, size of lhs = 4:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), v1_xboole_0-{F}(V2), V2 == V1 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #97: input, references = 7, size of lhs = 2:
% 43.33/43.54 #-{F} V0, #-{F} V1 | EXISTS V2: P_k1_funct_1-{T}(V0,V1,V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #98: input, references = 5, size of lhs = 1:
% 43.33/43.54 #-{F} V0 | EXISTS V1: P_k1_latsubgr-{T}(V0,V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #99: input, references = 4, size of lhs = 0:
% 43.33/43.54 FALSE | EXISTS V0: P_k1_xboole_0-{T}(V0)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #100: input, references = 4, size of lhs = 2:
% 43.33/43.54 #-{F} V0, #-{F} V1 | EXISTS V2: P_g1_group_1-{T}(V0,V1,V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #101: input, references = 6, size of lhs = 1:
% 43.33/43.54 #-{F} V0 | EXISTS V1: P_u1_struct_0-{T}(V0,V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #102: input, references = 6, size of lhs = 1:
% 43.33/43.54 #-{F} V0 | EXISTS V1: P_u1_group_1-{T}(V0,V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #103: input, references = 8, size of lhs = 1:
% 43.33/43.54 #-{F} V0 | EXISTS V1: P_k1_zfmisc_1-{T}(V0,V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #104: input, references = 6, size of lhs = 2:
% 43.33/43.54 #-{F} V0, #-{F} V1 | EXISTS V2: P_k2_zfmisc_1-{T}(V0,V1,V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #105: input, references = 5, size of lhs = 1:
% 43.33/43.54 #-{F} V0 | EXISTS V1: P_k1_group_3-{T}(V0,V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 number of initial rules = 106
% 43.33/43.54
% 43.33/43.54 Simplifiers:
% 43.33/43.54 #106: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 P_k1_funct_1-{F}(V0,V1,V2), P_k1_funct_1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #107: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 P_k1_latsubgr-{F}(V0,V1), P_k1_latsubgr-{F}(V0,V3), V1 == V3 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #108: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), P_k1_xboole_0-{F}(V1), V0 == V1 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #109: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 P_g1_group_1-{F}(V0,V1,V2), P_g1_group_1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #110: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 P_u1_struct_0-{F}(V0,V1), P_u1_struct_0-{F}(V0,V3), V1 == V3 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #111: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 P_u1_group_1-{F}(V0,V1), P_u1_group_1-{F}(V0,V3), V1 == V3 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #112: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 P_k1_zfmisc_1-{F}(V0,V1), P_k1_zfmisc_1-{F}(V0,V3), V1 == V3 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #113: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 P_k2_zfmisc_1-{F}(V0,V1,V2), P_k2_zfmisc_1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #114: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 P_k1_group_3-{F}(V0,V1), P_k1_group_3-{F}(V0,V3), V1 == V3 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #115: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #116: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V5,V6,V3), V0 == V4 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #117: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #118: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V5,V6,V7), V2 == V6 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #119: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V4,V2), V0 == V3 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #120: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V4,V5), V2 == V5 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #121: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V4,V5), V1 == V4 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #122: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #123: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 pppp3-{F}(V0,V1), pppp3-{F}(V2,V3), V0 == V2 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #124: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #125: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #126: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #127: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #128: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #129: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #130: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 pppp10-{F}(V0,V1,V2), pppp10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #131: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #132: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #133: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #134: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 pppp14-{F}(V0,V1,V2), pppp14-{F}(V0,V1,V5), V2 == V5 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #135: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 pppp15-{F}(V0,V1), pppp15-{F}(V2,V1), V0 == V2 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #136: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #137: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #138: unsound, references = 3, size of lhs = 3:
% 43.33/43.54 pppp18-{F}(V0,V1), pppp18-{F}(V2,V1), V0 == V2 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 number of simplifiers = 33
% 43.33/43.54
% 43.33/43.54 Learnt:
% 43.33/43.54 #150: mergings( V0 == V2; #147 ), references = 1, size of lhs = 1:
% 43.33/43.54 P_k1_xboole_0-{F}(V0) | pppp13-{T}(V0)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #152: mergings( V0 == V2; #148 ), references = 1, size of lhs = 2:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1) | pppp13-{T}(V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #165: mergings( V0 == V3; #161 ), references = 1, size of lhs = 3:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V1,V2), P_k1_zfmisc_1-{F}(V3,V2) | r2_hidden-{T}(V1,V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #167: mergings( V0 == V3; #162 ), references = 8, size of lhs = 3:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V1,V2), V2 == V0 | r2_hidden-{T}(V1,V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #170: mergings( V0 == V3, V2 == V3; #163 ), references = 1, size of lhs = 4:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V0 == V1, m1_subset_1-{F}(V2,V0) | r2_hidden-{T}(V2,V0)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #189: mergings( V0 == V4; #187 ), references = 1, size of lhs = 2:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2) | pppp15-{T}(V0,V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #197: mergings( V0 == V3, V3 == V4; #194 ), references = 8, size of lhs = 5:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2), m1_subset_1-{F}(V3,V2), V3 == V0 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #205: mergings( V0 == V4, V4 == V5; #202 ), references = 1, size of lhs = 5:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2), P_k1_zfmisc_1-{F}(V3,V2), P_k2_zfmisc_1-{F}(V4,V5,V3) | pppp10-{T}(V4,V5,V0)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #222: mergings( V0 == V4, V4 == V5, V5 == V6; #218 ), references = 1, size of lhs = 5:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2), P_k1_zfmisc_1-{F}(V3,V2), P_k2_zfmisc_1-{F}(V4,V5,V3) | pppp11-{T}(V4,V5,V0)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #239: mergings( V0 == V4, V4 == V5, V5 == V6; #235 ), references = 1, size of lhs = 5:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2), P_k1_zfmisc_1-{F}(V3,V2), P_k2_zfmisc_1-{F}(V4,V5,V3) | pppp14-{T}(V4,V5,V0)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #250: mergings( V0 == V4, V4 == V5, V5 == V6; #246 ), references = 1, size of lhs = 5:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2), P_k1_zfmisc_1-{F}(V3,V2), P_k2_zfmisc_1-{F}(V4,V5,V3) | pppp8-{T}(V4,V5,V0)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #258: mergings( V2 == V5, V5 == V6; #255 ), references = 1, size of lhs = 8:
% 43.33/43.54 l1_group_1-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k2_zfmisc_1-{F}(V1,V1,V2), P_k1_xboole_0-{F}(V3), v1_xboole_0-{F}(V4), P_k1_zfmisc_1-{F}(V4,V5), P_k2_zfmisc_1-{F}(V2,V1,V6), P_k1_zfmisc_1-{F}(V6,V5) | P_u1_group_1-{T}(V0,V3)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #267: mergings( V0 == V3; #263 ), references = 1, size of lhs = 3:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), V1 == V0 | pppp21-{T}(V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #270: mergings( V0 == V3, V1 == V3; #264 ), references = 1, size of lhs = 4:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V0 == V1, P_k1_zfmisc_1-{F}(V0,V2) | pppp21-{T}(V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #274: mergings( V0 == V3, V2 == V4, V1 == V3; #265 ), references = 1, size of lhs = 4:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), m1_subset_1-{F}(V2,V1), V2 == V0 | pppp21-{T}(V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #279: mergings( V0 == V3; #277 ), references = 1, size of lhs = 3:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2) | pppp9-{T}(V2,V0)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #302: exists( #100, #10 ), references = 2, size of lhs = 5:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), l1_group_1-{F}(V1), v1_group_1-{F}(V1), P_u1_struct_0-{F}(V1,V2), P_u1_group_1-{F}(V1,V3) | P_g1_group_1-{T}(V2,V3,V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #306: mergings( V2 == V4; #304 ), references = 1, size of lhs = 10:
% 43.33/43.54 l1_group_1-{F}(V0), v1_group_1-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_xboole_0-{F}(V2), v1_funct_1-{F}(V3), P_g1_group_1-{F}(V4,V3,V0), V4 == V1, P_k2_zfmisc_1-{F}(V4,V4,V5), v1_funct_2-{F}(V3,V5,V4), m1_relset_1-{F}(V3,V5,V4) | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #309: mergings( V2 == V3; #307 ), references = 1, size of lhs = 8:
% 43.33/43.54 l1_group_1-{F}(V0), v1_group_1-{F}(V0), P_k1_xboole_0-{F}(V1), v1_funct_1-{F}(V2), P_g1_group_1-{F}(V3,V2,V0), P_k2_zfmisc_1-{F}(V3,V3,V4), v1_funct_2-{F}(V2,V4,V3), m1_relset_1-{F}(V2,V4,V3) | P_u1_struct_0-{T}(V0,V3)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #316: mergings( V2 == V4; #314 ), references = 1, size of lhs = 9:
% 43.33/43.54 l1_group_1-{F}(V0), v1_group_1-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_xboole_0-{F}(V2), v1_funct_1-{F}(V3), P_g1_group_1-{F}(V4,V3,V0), P_k2_zfmisc_1-{F}(V4,V4,V5), v1_funct_2-{F}(V3,V5,V4), m1_relset_1-{F}(V3,V5,V4) | P_u1_group_1-{T}(V0,V3)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #340: disj( #42, input ), references = 1, size of lhs = 4:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v3_group_1-{F}(V1), l1_group_1-{F}(V1), pppp2-{F}(V1,V2,V3) | pppp20-{T}(V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #341: disj( #42, input ), references = 1, size of lhs = 4:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v3_group_1-{F}(V1), l1_group_1-{F}(V1), pppp17-{F}(V1) | pppp20-{T}(V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #368: mergings( V0 == V4; #364 ), references = 1, size of lhs = 5:
% 43.33/43.54 v1_funct_1-{F}(V0), P_k1_xboole_0-{F}(V1), m1_relset_1-{F}(V0,V2,V3), V3 == V1, v1_funct_2-{F}(V0,V2,V3) | v1_partfun1-{T}(V0,V2,V3)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #371: mergings( V0 == V4, V3 == V4; #365 ), references = 1, size of lhs = 6:
% 43.33/43.54 v1_funct_1-{F}(V0), P_k1_xboole_0-{F}(V1), v1_xboole_0-{F}(V2), V1 == V2, m1_relset_1-{F}(V0,V3,V1), v1_funct_2-{F}(V0,V3,V1) | v1_partfun1-{T}(V0,V3,V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #374: mergings( V0 == V4, V3 == V4; #366 ), references = 1, size of lhs = 7:
% 43.33/43.54 v1_funct_1-{F}(V0), P_k1_xboole_0-{F}(V1), m1_relset_1-{F}(V0,V2,V1), v1_funct_2-{F}(V0,V2,V1), P_k1_zfmisc_1-{F}(V1,V3), m1_subset_1-{F}(V4,V3), V4 == V1 | v1_partfun1-{T}(V0,V2,V1)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #417: disj( #81, input ), references = 1, size of lhs = 5:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), l1_struct_0-{F}(V1), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), pppp2-{F}(V1,V4,V5) | pppp22-{T}(V3)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #440: mergings( V0 == V4; #436 ), references = 2, size of lhs = 6:
% 43.33/43.54 v1_funct_1-{F}(V0), v1_xboole_0-{F}(V0), P_k1_xboole_0-{F}(V1), m1_relset_1-{F}(V0,V2,V3), V3 == V1, v1_funct_2-{F}(V0,V2,V3) | v1_xboole_0-{T}(V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #443: mergings( V0 == V4, V3 == V4; #437 ), references = 1, size of lhs = 7:
% 43.33/43.54 v1_funct_1-{F}(V0), v1_xboole_0-{F}(V0), P_k1_xboole_0-{F}(V1), v1_xboole_0-{F}(V2), V1 == V2, m1_relset_1-{F}(V0,V3,V1), v1_funct_2-{F}(V0,V3,V1) | v1_xboole_0-{T}(V3)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #446: mergings( V0 == V4, V3 == V4; #438 ), references = 1, size of lhs = 8:
% 43.33/43.54 v1_funct_1-{F}(V0), v1_xboole_0-{F}(V0), P_k1_xboole_0-{F}(V1), m1_relset_1-{F}(V0,V2,V1), v1_funct_2-{F}(V0,V2,V1), P_k1_zfmisc_1-{F}(V1,V3), m1_subset_1-{F}(V4,V3), V4 == V1 | v1_xboole_0-{T}(V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #540: mergings( V2 == V3, V3 == V4; #536 ), references = 3, size of lhs = 7:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2), r2_hidden-{F}(V3,V4), V3 == V0, m2_relset_1-{F}(V4,V5,V6), P_k2_zfmisc_1-{F}(V5,V6,V2) | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #544: mergings( V2 == V3, V3 == V4, V7 == V4; #537 ), references = 1, size of lhs = 7:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2), r2_hidden-{F}(V3,V0), r2_hidden-{F}(V0,V4), m2_relset_1-{F}(V4,V5,V6), P_k2_zfmisc_1-{F}(V5,V6,V2) | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #616: exists( #97, #7 ), references = 2, size of lhs = 1:
% 43.33/43.54 pppp1-{F}(V0,V1,V2,V3) | P_k1_funct_1-{T}(V2,V1,V3)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #647: mergings( V0 == V3; #645 ), references = 1, size of lhs = 6:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v1_group_1-{F}(V1), P_u1_struct_0-{F}(V1,V2), m1_group_2-{F}(V1,V3), P_k1_funct_1-{F}(V4,V1,V5), V5 == V2 | pppp19-{T}(V3,V4)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #663: mergings( V0 == V3; #661 ), references = 1, size of lhs = 13:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v3_group_1-{F}(V1), v4_group_1-{F}(V1), l1_group_1-{F}(V1), P_k1_group_3-{F}(V1,V2), P_u1_struct_0-{F}(V1,V3), P_k1_zfmisc_1-{F}(V3,V4), P_k1_latsubgr-{F}(V1,V5), v1_funct_1-{F}(V6), V6 == V5, v1_funct_2-{F}(V6,V2,V4), m2_relset_1-{F}(V6,V2,V4), pppp2-{F}(V1,V7,V8) | pppp19-{T}(V1,V6)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #739: disj( #28, input ), references = 1, size of lhs = 9:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v3_group_1-{F}(V1), v4_group_1-{F}(V1), l1_group_1-{F}(V1), P_k1_latsubgr-{F}(V1,V2), P_k1_group_3-{F}(V1,V3), P_u1_struct_0-{F}(V1,V4), P_k1_zfmisc_1-{F}(V4,V5), pppp2-{F}(V1,V6,V7) | v1_funct_2-{T}(V2,V3,V5)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #817: disj( #29, input ), references = 1, size of lhs = 9:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v3_group_1-{F}(V1), v4_group_1-{F}(V1), l1_group_1-{F}(V1), P_k1_latsubgr-{F}(V1,V2), P_k1_group_3-{F}(V1,V3), P_u1_struct_0-{F}(V1,V4), P_k1_zfmisc_1-{F}(V4,V5), pppp2-{F}(V1,V6,V7) | m2_relset_1-{T}(V2,V3,V5)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #929: disj( #17, input ), references = 1, size of lhs = 12:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v3_group_1-{F}(V1), v4_group_1-{F}(V1), l1_group_1-{F}(V1), P_k1_group_3-{F}(V1,V2), P_u1_struct_0-{F}(V1,V3), P_k1_zfmisc_1-{F}(V3,V4), P_k1_latsubgr-{F}(V1,V5), v1_funct_1-{F}(V5), v1_funct_2-{F}(V5,V2,V4), m2_relset_1-{F}(V5,V2,V4), pppp2-{F}(V1,V6,V7) | pppp0-{T}(V1,V5)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #1072: mergings( V2 == V3, V3 == V4, V4 == V5; #1067 ), references = 1, size of lhs = 10:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2), r2_hidden-{F}(V3,V4), V3 == V0, m2_relset_1-{F}(V4,V5,V6), P_k2_zfmisc_1-{F}(V5,V6,V7), V7 == V0, m2_relset_1-{F}(V7,V8,V9), P_k2_zfmisc_1-{F}(V8,V9,V2) | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #1076: mergings( V2 == V3, V3 == V4, V4 == V5; #1068 ), references = 2, size of lhs = 6:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2), V1 == V0, r2_hidden-{F}(V2,V3), m2_relset_1-{F}(V3,V4,V5), P_k2_zfmisc_1-{F}(V4,V5,V1) | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #1193: mergings( V0 == V3, V3 == V4; #1190 ), references = 1, size of lhs = 6:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2), P_k2_zfmisc_1-{F}(V3,V4,V2), m2_relset_1-{F}(V5,V3,V4), V5 == V0 | pppp9-{T}(V5,V0)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #1337: exists( #97, #19 ), references = 1, size of lhs = 5:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v1_group_1-{F}(V1), P_u1_struct_0-{F}(V1,V2), m1_group_2-{F}(V1,V3), pppp0-{F}(V3,V4) | P_k1_funct_1-{T}(V4,V1,V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #1399: exists( #101, #19 ), references = 1, size of lhs = 5:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v1_group_1-{F}(V1), m1_group_2-{F}(V1,V2), pppp0-{F}(V2,V3), P_k1_funct_1-{F}(V3,V1,V4) | P_u1_struct_0-{T}(V1,V4)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #1536: mergings( V4 == V5; #1534 ), references = 1, size of lhs = 7:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v1_group_1-{F}(V1), P_u1_struct_0-{F}(V1,V2), pppp4-{F}(V3,V4,V1), pppp0-{F}(V3,V5), P_k1_funct_1-{F}(V5,V1,V6), V6 == V2 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #1539: mergings( V4 == V5; #1537 ), references = 1, size of lhs = 5:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v1_group_1-{F}(V1), P_u1_struct_0-{F}(V1,V2), pppp4-{F}(V3,V4,V1), pppp0-{F}(V3,V5) | P_k1_funct_1-{T}(V5,V1,V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #1694: disj( #32, input ), references = 1, size of lhs = 5:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v3_group_1-{F}(V1), l1_group_1-{F}(V1), m1_group_2-{F}(V2,V1), pppp2-{F}(V1,V3,V4) | v3_group_1-{T}(V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #1947: mergings( V0 == V3; #1945 ), references = 1, size of lhs = 9:
% 43.33/43.54 v3_group_1-{F}(V0), l1_group_1-{F}(V0), P_k1_xboole_0-{F}(V1), v1_group_1-{F}(V2), m1_group_2-{F}(V2,V0), P_u1_struct_0-{F}(V2,V3), P_u1_group_1-{F}(V2,V4), P_g1_group_1-{F}(V3,V4,V5), V2 == V5 | v3_struct_0-{T}(V0)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #1980: disj( #33, input ), references = 1, size of lhs = 5:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v3_group_1-{F}(V1), l1_group_1-{F}(V1), m1_group_2-{F}(V2,V1), pppp2-{F}(V1,V3,V4) | l1_group_1-{T}(V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #1998: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V8, V2 == V10, V10 == V12, V1 == V9, V9 == V11; #1989 ), references = 1, size of lhs = 6:
% 43.33/43.54 v1_xboole_0-{F}(V0), P_k1_xboole_0-{F}(V1), v3_group_1-{F}(V2), l1_group_1-{F}(V2), pppp0-{F}(V2,V3), pppp2-{F}(V2,V3,V0) | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #2022: mergings( V2 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V15, V4 == V7, V7 == V9, V11 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V3 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24; #2002 ), references = 3, size of lhs = 10:
% 43.33/43.54 v1_funct_1-{F}(V0), v4_group_1-{F}(V1), v3_group_1-{F}(V1), l1_group_1-{F}(V1), P_k1_latsubgr-{F}(V1,V0), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), v1_xboole_0-{F}(V4), pppp2-{F}(V1,V0,V4), P_k1_xboole_0-{F}(V5) | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #2051: disj( #81, input ), references = 1, size of lhs = 5:
% 43.33/43.54 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) | pppp22-{T}(V3)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #2087: mergings( V0 == V4; #2085 ), references = 1, size of lhs = 5:
% 43.33/43.54 v1_xboole_0-{F}(V0), P_k1_xboole_0-{F}(V1), v3_group_1-{F}(V2), l1_group_1-{F}(V2), pppp2-{F}(V2,V3,V0) | pppp19-{T}(V2,V3)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #2122: exists( #103, #2022 ), references = 3, size of lhs = 9:
% 43.33/43.54 v1_funct_1-{F}(V0), v4_group_1-{F}(V1), v3_group_1-{F}(V1), l1_group_1-{F}(V1), P_k1_latsubgr-{F}(V1,V0), P_u1_struct_0-{F}(V1,V2), v1_xboole_0-{F}(V3), pppp2-{F}(V1,V0,V3), P_k1_xboole_0-{F}(V4) | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #2177: mergings( V2 == V3, V3 == V4, V4 == V5; #2171 ), references = 1, size of lhs = 5:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2), V1 == V0, m2_relset_1-{F}(V2,V3,V4), P_k2_zfmisc_1-{F}(V3,V4,V1) | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #2181: mergings( V2 == V3, V3 == V4, V4 == V5; #2172 ), references = 1, size of lhs = 9:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2), V1 == V0, m2_relset_1-{F}(V2,V3,V4), P_k2_zfmisc_1-{F}(V3,V4,V5), V5 == V0, r2_hidden-{F}(V5,V6), m2_relset_1-{F}(V6,V7,V8), P_k2_zfmisc_1-{F}(V7,V8,V1) | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #2186: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #2173 ), references = 1, size of lhs = 10:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), m1_subset_1-{F}(V4,V3), V4 == V0, r2_hidden-{F}(V5,V6), r2_hidden-{F}(V6,V7), m2_relset_1-{F}(V7,V8,V9), P_k2_zfmisc_1-{F}(V8,V9,V4) | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #2244: mergings( V2 == V5, V5 == V7, V7 == V8; #2239 ), references = 1, size of lhs = 11:
% 43.33/43.54 l1_group_1-{F}(V0), P_u1_group_1-{F}(V0,V1), v1_funct_1-{F}(V1), P_u1_struct_0-{F}(V0,V2), l1_group_1-{F}(V3), P_u1_group_1-{F}(V3,V1), P_u1_struct_0-{F}(V3,V2), P_k1_xboole_0-{F}(V4), P_g1_group_1-{F}(V2,V1,V5), P_g1_group_1-{F}(V6,V7,V5), V2 == V6 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #2248: mergings( V2 == V5, V5 == V7, V7 == V8; #2240 ), references = 1, size of lhs = 11:
% 43.33/43.54 l1_group_1-{F}(V0), P_u1_group_1-{F}(V0,V1), v1_funct_1-{F}(V1), P_u1_struct_0-{F}(V0,V2), l1_group_1-{F}(V3), P_u1_group_1-{F}(V3,V1), P_u1_struct_0-{F}(V3,V2), P_k1_xboole_0-{F}(V4), P_g1_group_1-{F}(V2,V1,V5), P_g1_group_1-{F}(V6,V7,V5), V1 == V7 | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #2272: mergings( V2 == V5, V5 == V7, V7 == V8, V8 == V9; #2267 ), references = 1, size of lhs = 10:
% 43.33/43.54 l1_group_1-{F}(V0), P_u1_group_1-{F}(V0,V1), v1_funct_1-{F}(V1), v1_xboole_0-{F}(V1), P_u1_struct_0-{F}(V0,V2), l1_group_1-{F}(V3), P_u1_group_1-{F}(V3,V1), P_u1_struct_0-{F}(V3,V2), P_k1_xboole_0-{F}(V4), V2 == V4 | P_k2_zfmisc_1-{T}(V2,V2,V4)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #2369: mergings( V2 == V8; #2365 ), references = 1, size of lhs = 11:
% 43.33/43.54 l1_group_1-{F}(V0), P_u1_group_1-{F}(V0,V1), P_u1_struct_0-{F}(V0,V2), v4_group_1-{F}(V3), v3_group_1-{F}(V3), l1_group_1-{F}(V3), P_k1_latsubgr-{F}(V3,V1), P_u1_struct_0-{F}(V3,V4), v1_xboole_0-{F}(V5), pppp2-{F}(V3,V1,V5), P_k1_xboole_0-{F}(V6) | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #2600: disj( #27, input ), references = 1, size of lhs = 9:
% 43.33/43.54 P_k1_xboole_0-{F}(V0), v3_group_1-{F}(V1), v4_group_1-{F}(V1), l1_group_1-{F}(V1), P_k1_latsubgr-{F}(V1,V2), P_k1_group_3-{F}(V1,V3), P_u1_struct_0-{F}(V1,V4), P_k1_zfmisc_1-{F}(V4,V5), pppp2-{F}(V1,V6,V7) | v1_funct_1-{T}(V2)
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #2614: mergings( V2 == V9, V8 == V11, V6 == V3, V0 == V7, V4 == V10; #2607 ), references = 1, size of lhs = 9:
% 43.33/43.54 v4_group_1-{F}(V0), v3_group_1-{F}(V0), l1_group_1-{F}(V0), P_k1_group_3-{F}(V0,V1), P_k1_latsubgr-{F}(V0,V2), P_u1_struct_0-{F}(V0,V3), v1_xboole_0-{F}(V4), pppp2-{F}(V0,V2,V4), P_k1_xboole_0-{F}(V5) | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #2619: mergings( V2 == V8, V7 == V10, V6 == V3, V4 == V9; #2608 ), references = 1, size of lhs = 9:
% 43.33/43.54 v4_group_1-{F}(V0), v3_group_1-{F}(V0), l1_group_1-{F}(V0), P_k1_group_3-{F}(V0,V1), P_k1_latsubgr-{F}(V0,V2), P_u1_struct_0-{F}(V0,V3), v1_xboole_0-{F}(V4), pppp2-{F}(V0,V2,V4), P_k1_xboole_0-{F}(V5) | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #2627: mergings( V2 == V8, V7 == V10, V5 == V0, V4 == V6, V3 == V9; #2620 ), references = 1, size of lhs = 8:
% 43.33/43.54 v4_group_1-{F}(V0), v3_group_1-{F}(V0), l1_group_1-{F}(V0), P_k1_latsubgr-{F}(V0,V1), P_u1_struct_0-{F}(V0,V2), v1_xboole_0-{F}(V3), pppp2-{F}(V0,V1,V3), P_k1_xboole_0-{F}(V4) | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #2632: mergings( V2 == V7, V6 == V9, V5 == V0, V3 == V8; #2621 ), references = 1, size of lhs = 8:
% 43.33/43.54 v4_group_1-{F}(V0), v3_group_1-{F}(V0), l1_group_1-{F}(V0), P_k1_latsubgr-{F}(V0,V1), P_u1_struct_0-{F}(V0,V2), v1_xboole_0-{F}(V3), pppp2-{F}(V0,V1,V3), P_k1_xboole_0-{F}(V4) | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #2638: mergings( V2 == V5, V4 == V7, V3 == V6; #2633 ), references = 2, size of lhs = 7:
% 43.33/43.54 v4_group_1-{F}(V0), v3_group_1-{F}(V0), l1_group_1-{F}(V0), P_k1_latsubgr-{F}(V0,V1), v1_xboole_0-{F}(V2), pppp2-{F}(V0,V1,V2), P_k1_xboole_0-{F}(V3) | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #2648: mergings( V2 == V4; #2645 ), references = 1, size of lhs = 4:
% 43.33/43.54 l1_group_1-{F}(V0), v1_xboole_0-{F}(V1), pppp3-{F}(V1,V0), P_k1_xboole_0-{F}(V2) | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #2685: exists( #98, #2682 ), references = 1, size of lhs = 3:
% 43.33/43.54 v1_xboole_0-{F}(V0), pppp3-{F}(V0,V1), P_k1_xboole_0-{F}(V2) | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #2689: mergings( V0 == V2; #2686 ), references = 1, size of lhs = 2:
% 43.33/43.54 v1_xboole_0-{F}(V0), P_k1_xboole_0-{F}(V0) | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 #2694: exists( #99, #2690 ), references = 1, size of lhs = 0:
% 43.33/43.54 FALSE | FALSE
% 43.33/43.54 (used 0 times, uses = {})
% 43.33/43.54
% 43.33/43.54 number of learnt formulas = 69
% 43.33/43.54
% 43.33/43.54
% 43.33/43.54 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.33/43.54
% 43.33/43.54 randbase = 1
%------------------------------------------------------------------------------