TSTP Solution File: GRP641+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP641+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n014.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 271.19s 271.38s
% Output : Refutation 271.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP641+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 13:51:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 271.19/271.38 GeoParameters:
% 271.19/271.38
% 271.19/271.38 tptp_input = 1
% 271.19/271.38 tptp_output = 0
% 271.19/271.38 nonempty = 1
% 271.19/271.38 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 271.19/271.38 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 271.19/271.38
% 271.19/271.38
% 271.19/271.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 271.19/271.38 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 271.19/271.38
% 271.19/271.38 RuleSystem INPUT:
% 271.19/271.38
% 271.19/271.38 Initial Rules:
% 271.19/271.38 #0: input, references = 4, size of lhs = 0:
% 271.19/271.38 FALSE | EXISTS V0: pppp3-{T}(V0)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #1: input, references = 5, size of lhs = 3:
% 271.19/271.38 pppp3-{F}(V0), P_k2_group_1-{F}(V0,V1), P_k1_latsubgr-{F}(V0,V2) | pppp2-{T}(V0,V1,V2)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #2: input, references = 4, size of lhs = 1:
% 271.19/271.38 pppp2-{F}(V0,V1,V2) | EXISTS V3: pppp1-{T}(V0,V3,V1,V2)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #3: input, references = 4, size of lhs = 1:
% 271.19/271.38 pppp2-{F}(V0,V1,V2) | l1_group_1-{T}(V0)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #4: input, references = 4, size of lhs = 1:
% 271.19/271.38 pppp2-{F}(V0,V1,V2) | v4_group_1-{T}(V0)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #5: input, references = 4, size of lhs = 1:
% 271.19/271.38 pppp2-{F}(V0,V1,V2) | v3_group_1-{T}(V0)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #6: input, references = 13, size of lhs = 2:
% 271.19/271.38 pppp2-{F}(V0,V1,V2), v3_struct_0-{F}(V0) | FALSE
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #7: input, references = 5, size of lhs = 3:
% 271.19/271.38 pppp1-{F}(V0,V1,V2,V3), P_k1_funct_1-{F}(V3,V1,V4), r2_hidden-{F}(V2,V4) | FALSE
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #8: input, references = 11, size of lhs = 2:
% 271.19/271.38 pppp1-{F}(V0,V1,V2,V3), P_k1_funct_1-{F}(V3,V1,V4) | m1_group_2-{T}(V1,V0)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #9: input, references = 6, size of lhs = 2:
% 271.19/271.38 pppp1-{F}(V0,V1,V2,V3), P_k1_funct_1-{F}(V3,V1,V4) | v1_group_1-{T}(V1)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #10: input, references = 5, size of lhs = 6:
% 271.19/271.38 P_u1_struct_0-{F}(V0,V1), P_u1_group_1-{F}(V0,V2), P_g1_group_1-{F}(V1,V2,V3), l1_group_1-{F}(V0), v1_group_1-{F}(V0), V0 == V3 | FALSE
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #11: input, references = 5, size of lhs = 2:
% 271.19/271.38 r2_hidden-{F}(V0,V1), r2_hidden-{F}(V1,V0) | FALSE
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #12: input, references = 3, size of lhs = 3:
% 271.19/271.38 v1_funct_1-{F}(V0), m1_relset_1-{F}(V0,V2,V1), v1_partfun1-{F}(V0,V2,V1) | v1_funct_2-{T}(V0,V2,V1)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #13: input, references = 3, size of lhs = 3:
% 271.19/271.38 P_k2_zfmisc_1-{F}(V2,V1,V3), P_k1_zfmisc_1-{F}(V3,V4), m1_subset_1-{F}(V0,V4) | v1_relat_1-{T}(V0)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #14: input, references = 4, size of lhs = 3:
% 271.19/271.38 v1_funct_1-{F}(V1), m1_relset_1-{F}(V1,V2,V0), v1_funct_2-{F}(V1,V2,V0) | v1_xboole_0-{T}(V0), v1_partfun1-{T}(V1,V2,V0)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #15: input, references = 4, size of lhs = 4:
% 271.19/271.38 m1_relset_1-{F}(V2,V1,V0), v1_funct_1-{F}(V2), v1_funct_2-{F}(V2,V1,V0), v1_xboole_0-{F}(V2) | v1_xboole_0-{T}(V0), v1_xboole_0-{T}(V1)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #16: input, references = 3, size of lhs = 3:
% 271.19/271.38 m1_relset_1-{F}(V2,V1,V0), v1_funct_1-{F}(V2), v1_funct_2-{F}(V2,V1,V0) | v1_xboole_0-{T}(V0), v1_xboole_0-{T}(V1), v1_partfun1-{T}(V2,V1,V0)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #17: input, references = 4, size of lhs = 10:
% 271.19/271.38 P_k1_group_3-{F}(V0,V1), P_u1_struct_0-{F}(V0,V2), P_k1_zfmisc_1-{F}(V2,V3), P_k1_latsubgr-{F}(V0,V4), v3_group_1-{F}(V0), v4_group_1-{F}(V0), l1_group_1-{F}(V0), v1_funct_1-{F}(V4), v1_funct_2-{F}(V4,V1,V3), m2_relset_1-{F}(V4,V1,V3) | v3_struct_0-{T}(V0), pppp0-{T}(V0,V4)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #18: input, references = 4, size of lhs = 12:
% 271.19/271.38 P_k1_group_3-{F}(V0,V1), P_u1_struct_0-{F}(V0,V2), P_k1_zfmisc_1-{F}(V2,V3), P_k1_latsubgr-{F}(V0,V4), v3_group_1-{F}(V0), v4_group_1-{F}(V0), l1_group_1-{F}(V0), v1_funct_1-{F}(V5), v1_funct_2-{F}(V5,V1,V3), m2_relset_1-{F}(V5,V1,V3), pppp0-{F}(V0,V5), V5 == V4 | v3_struct_0-{T}(V0)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #19: input, references = 7, size of lhs = 6:
% 271.19/271.38 pppp0-{F}(V0,V1), P_k1_funct_1-{F}(V1,V2,V3), P_u1_struct_0-{F}(V2,V4), v1_group_1-{F}(V2), m1_group_2-{F}(V2,V0), V3 == V4 | FALSE
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #20: input, references = 6, size of lhs = 2:
% 271.19/271.38 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp19-{T}(V0,V1)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #21: input, references = 3, size of lhs = 1:
% 271.19/271.38 pppp19-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #22: input, references = 4, size of lhs = 3:
% 271.19/271.38 pppp4-{F}(V0,V1,V2), P_k1_funct_1-{F}(V1,V2,V4), P_u1_struct_0-{F}(V2,V4) | FALSE
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #23: input, references = 14, size of lhs = 3:
% 271.19/271.38 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)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #24: input, references = 11, size of lhs = 3:
% 271.19/271.38 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)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #25: input, references = 4, size of lhs = 5:
% 271.19/271.38 v1_funct_1-{F}(V0), P_k2_zfmisc_1-{F}(V1,V1,V2), P_g1_group_1-{F}(V1,V0,V3), v1_funct_2-{F}(V0,V2,V1), m1_relset_1-{F}(V0,V2,V1) | v1_group_1-{T}(V3)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #26: input, references = 5, size of lhs = 5:
% 271.19/271.38 v1_funct_1-{F}(V0), P_k2_zfmisc_1-{F}(V1,V1,V2), P_g1_group_1-{F}(V1,V0,V3), v1_funct_2-{F}(V0,V2,V1), m1_relset_1-{F}(V0,V2,V1) | l1_group_1-{T}(V3)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #27: input, references = 4, size of lhs = 7:
% 271.19/271.38 P_k1_latsubgr-{F}(V0,V1), P_k1_group_3-{F}(V0,V2), P_u1_struct_0-{F}(V0,V3), P_k1_zfmisc_1-{F}(V3,V4), v3_group_1-{F}(V0), v4_group_1-{F}(V0), l1_group_1-{F}(V0) | v3_struct_0-{T}(V0), v1_funct_1-{T}(V1)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #28: input, references = 4, size of lhs = 7:
% 271.19/271.38 P_k1_latsubgr-{F}(V0,V1), P_k1_group_3-{F}(V0,V2), P_u1_struct_0-{F}(V0,V3), P_k1_zfmisc_1-{F}(V3,V4), v3_group_1-{F}(V0), v4_group_1-{F}(V0), l1_group_1-{F}(V0) | v3_struct_0-{T}(V0), v1_funct_2-{T}(V1,V2,V4)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #29: input, references = 4, size of lhs = 7:
% 271.19/271.38 P_k1_latsubgr-{F}(V0,V1), P_k1_group_3-{F}(V0,V2), P_u1_struct_0-{F}(V0,V3), P_k1_zfmisc_1-{F}(V3,V4), v3_group_1-{F}(V0), v4_group_1-{F}(V0), l1_group_1-{F}(V0) | v3_struct_0-{T}(V0), m2_relset_1-{T}(V1,V2,V4)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #30: input, references = 5, size of lhs = 3:
% 271.19/271.38 P_k2_group_1-{F}(V0,V1), P_u1_struct_0-{F}(V0,V2), l1_group_1-{F}(V0) | v3_struct_0-{T}(V0), m1_subset_1-{T}(V1,V2)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #31: input, references = 4, size of lhs = 1:
% 271.19/271.38 l1_group_1-{F}(V0) | l1_struct_0-{T}(V0)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #32: input, references = 6, size of lhs = 4:
% 271.19/271.38 v3_group_1-{F}(V0), l1_group_1-{F}(V0), m1_group_2-{F}(V1,V0), v3_struct_0-{F}(V1) | v3_struct_0-{T}(V0)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #33: input, references = 4, size of lhs = 3:
% 271.19/271.38 v3_group_1-{F}(V0), l1_group_1-{F}(V0), m1_group_2-{F}(V1,V0) | v3_struct_0-{T}(V0), v3_group_1-{T}(V1)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #34: input, references = 5, size of lhs = 3:
% 271.19/271.38 v3_group_1-{F}(V0), l1_group_1-{F}(V0), m1_group_2-{F}(V1,V0) | v3_struct_0-{T}(V0), l1_group_1-{T}(V1)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #35: input, references = 17, size of lhs = 3:
% 271.19/271.38 P_k2_zfmisc_1-{F}(V0,V1,V3), P_k1_zfmisc_1-{F}(V3,V4), m2_relset_1-{F}(V2,V0,V1) | m1_subset_1-{T}(V2,V4)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #36: input, references = 6, size of lhs = 4:
% 271.19/271.38 P_u1_group_1-{F}(V0,V1), P_u1_struct_0-{F}(V0,V2), P_k2_zfmisc_1-{F}(V2,V2,V3), l1_group_1-{F}(V0) | v1_funct_1-{T}(V1)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #37: input, references = 7, size of lhs = 4:
% 271.19/271.38 P_u1_group_1-{F}(V0,V1), P_u1_struct_0-{F}(V0,V2), P_k2_zfmisc_1-{F}(V2,V2,V3), l1_group_1-{F}(V0) | v1_funct_2-{T}(V1,V3,V2)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #38: input, references = 7, size of lhs = 4:
% 271.19/271.38 P_u1_group_1-{F}(V0,V1), P_u1_struct_0-{F}(V0,V2), P_k2_zfmisc_1-{F}(V2,V2,V3), l1_group_1-{F}(V0) | m2_relset_1-{T}(V1,V3,V2)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #39: input, references = 3, size of lhs = 0:
% 271.19/271.38 FALSE | EXISTS V0: pppp5-{T}(V0)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #40: input, references = 3, size of lhs = 1:
% 271.19/271.38 pppp5-{F}(V0) | l1_group_1-{T}(V0)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #41: input, references = 3, size of lhs = 0:
% 271.19/271.38 FALSE | EXISTS V0: pppp6-{T}(V0)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #42: input, references = 3, size of lhs = 1:
% 271.19/271.38 pppp6-{F}(V0) | l1_struct_0-{T}(V0)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #43: input, references = 5, size of lhs = 2:
% 271.19/271.38 v3_group_1-{F}(V0), l1_group_1-{F}(V0) | v3_struct_0-{T}(V0), pppp20-{T}(V0)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #44: input, references = 3, size of lhs = 1:
% 271.19/271.38 pppp20-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #45: input, references = 3, size of lhs = 1:
% 271.19/271.38 pppp7-{F}(V0,V1) | m1_group_2-{T}(V1,V0)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #46: input, references = 3, size of lhs = 2:
% 271.19/271.38 #-{F} V0, #-{F} V1 | EXISTS V2: pppp8-{T}(V0,V1,V2)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #47: input, references = 3, size of lhs = 1:
% 271.19/271.38 pppp8-{F}(V0,V1,V2) | m1_relset_1-{T}(V2,V0,V1)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #48: input, references = 7, size of lhs = 1:
% 271.19/271.38 #-{F} V0 | EXISTS V1: pppp9-{T}(V0,V1)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #49: input, references = 7, size of lhs = 1:
% 271.19/271.38 pppp9-{F}(V0,V1) | m1_subset_1-{T}(V1,V0)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #50: input, references = 3, size of lhs = 2:
% 271.19/271.38 #-{F} V0, #-{F} V1 | EXISTS V2: pppp10-{T}(V0,V1,V2)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #51: input, references = 3, size of lhs = 1:
% 271.19/271.38 pppp10-{F}(V0,V1,V2) | m2_relset_1-{T}(V2,V0,V1)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #52: input, references = 3, size of lhs = 5:
% 271.19/271.38 P_k1_group_3-{F}(V0,V1), v3_group_1-{F}(V0), v4_group_1-{F}(V0), l1_group_1-{F}(V0), v1_xboole_0-{F}(V1) | v3_struct_0-{T}(V0)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #53: input, references = 4, size of lhs = 3:
% 271.19/271.38 P_u1_struct_0-{F}(V0,V1), l1_struct_0-{F}(V0), v1_xboole_0-{F}(V1) | v3_struct_0-{T}(V0)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #54: input, references = 3, size of lhs = 2:
% 271.19/271.38 P_k1_zfmisc_1-{F}(V0,V1), v1_xboole_0-{F}(V1) | FALSE
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #55: input, references = 4, size of lhs = 1:
% 271.19/271.38 P_k1_xboole_0-{F}(V0) | v1_xboole_0-{T}(V0)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #56: input, references = 3, size of lhs = 3:
% 271.19/271.38 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)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #57: input, references = 6, size of lhs = 8:
% 271.19/271.38 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
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #58: input, references = 5, size of lhs = 8:
% 271.19/271.38 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
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #59: input, references = 4, size of lhs = 3:
% 271.19/271.38 P_k1_xboole_0-{F}(V0), #-{F} V1, #-{F} V2 | EXISTS V3: pppp11-{T}(V1,V2,V3)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #60: input, references = 3, size of lhs = 1:
% 271.19/271.38 pppp11-{F}(V0,V1,V2) | v1_funct_2-{T}(V2,V0,V1)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #61: input, references = 3, size of lhs = 1:
% 271.19/271.38 pppp11-{F}(V0,V1,V2) | v1_funct_1-{T}(V2)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #62: input, references = 3, size of lhs = 1:
% 271.19/271.38 pppp11-{F}(V0,V1,V2) | v1_relat_1-{T}(V2)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #63: input, references = 4, size of lhs = 1:
% 271.19/271.38 pppp11-{F}(V0,V1,V2) | m1_relset_1-{T}(V2,V0,V1)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #64: input, references = 4, size of lhs = 2:
% 271.19/271.38 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2) | v1_xboole_0-{T}(V1), pppp21-{T}(V2)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #65: input, references = 3, size of lhs = 1:
% 271.19/271.38 pppp21-{F}(V0) | EXISTS V1: pppp12-{T}(V1,V0)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #66: input, references = 3, size of lhs = 2:
% 271.19/271.38 pppp12-{F}(V0,V1), v1_xboole_0-{F}(V0) | FALSE
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #67: input, references = 3, size of lhs = 1:
% 271.19/271.38 pppp12-{F}(V0,V1) | m1_subset_1-{T}(V0,V1)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #68: input, references = 4, size of lhs = 1:
% 271.19/271.38 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #69: input, references = 5, size of lhs = 1:
% 271.19/271.38 pppp13-{F}(V0) | v1_xboole_0-{T}(V0)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #70: input, references = 4, size of lhs = 3:
% 271.19/271.38 P_k1_xboole_0-{F}(V0), #-{F} V1, #-{F} V2 | EXISTS V3: pppp14-{T}(V1,V2,V3)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #71: input, references = 3, size of lhs = 1:
% 271.19/271.38 pppp14-{F}(V0,V1,V2) | v1_funct_1-{T}(V2)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #72: input, references = 3, size of lhs = 1:
% 271.19/271.38 pppp14-{F}(V0,V1,V2) | v1_relat_1-{T}(V2)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #73: input, references = 4, size of lhs = 1:
% 271.19/271.38 pppp14-{F}(V0,V1,V2) | m1_relset_1-{T}(V2,V0,V1)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #74: input, references = 4, size of lhs = 2:
% 271.19/271.38 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2) | EXISTS V3: pppp15-{T}(V3,V2)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #75: input, references = 5, size of lhs = 1:
% 271.19/271.38 pppp15-{F}(V0,V1) | v1_xboole_0-{T}(V0)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #76: input, references = 3, size of lhs = 1:
% 271.19/271.38 pppp15-{F}(V0,V1) | m1_subset_1-{T}(V0,V1)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #77: input, references = 3, size of lhs = 1:
% 271.19/271.38 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp16-{T}(V1)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #78: input, references = 3, size of lhs = 2:
% 271.19/271.38 pppp16-{F}(V0), v1_xboole_0-{F}(V0) | FALSE
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #79: input, references = 3, size of lhs = 1:
% 271.19/271.38 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp17-{T}(V1)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #80: input, references = 3, size of lhs = 2:
% 271.19/271.38 pppp17-{F}(V0), v3_struct_0-{F}(V0) | FALSE
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #81: input, references = 3, size of lhs = 1:
% 271.19/271.38 pppp17-{F}(V0) | l1_struct_0-{T}(V0)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #82: input, references = 5, size of lhs = 4:
% 271.19/271.38 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)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #83: input, references = 3, size of lhs = 1:
% 271.19/271.38 pppp22-{F}(V0) | EXISTS V1: pppp18-{T}(V1,V0)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #84: input, references = 3, size of lhs = 2:
% 271.19/271.38 pppp18-{F}(V0,V1), v1_xboole_0-{F}(V0) | FALSE
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #85: input, references = 3, size of lhs = 1:
% 271.19/271.38 pppp18-{F}(V0,V1) | m1_subset_1-{T}(V0,V1)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #86: input, references = 7, size of lhs = 2:
% 271.19/271.38 P_k1_xboole_0-{F}(V0), m2_relset_1-{F}(V3,V1,V2) | m1_relset_1-{T}(V3,V1,V2)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #87: input, references = 5, size of lhs = 2:
% 271.19/271.38 P_k1_xboole_0-{F}(V0), m1_relset_1-{F}(V3,V1,V2) | m2_relset_1-{T}(V3,V1,V2)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #88: input, references = 3, size of lhs = 2:
% 271.19/271.38 P_k1_xboole_0-{F}(V0), #-{F} V1 | r1_tarski-{T}(V1,V1)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #89: input, references = 3, size of lhs = 2:
% 271.19/271.38 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2) | m1_subset_1-{T}(V1,V2)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #90: input, references = 4, size of lhs = 2:
% 271.19/271.38 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V2,V1) | v1_xboole_0-{T}(V1), r2_hidden-{T}(V2,V1)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #91: input, references = 3, size of lhs = 3:
% 271.19/271.38 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V2,V3), m1_subset_1-{F}(V1,V3) | r1_tarski-{T}(V1,V2)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #92: input, references = 3, size of lhs = 3:
% 271.19/271.38 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V2,V3), r1_tarski-{F}(V1,V2) | m1_subset_1-{T}(V1,V3)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #93: input, references = 20, size of lhs = 4:
% 271.19/271.38 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)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #94: input, references = 6, size of lhs = 8:
% 271.19/271.38 P_k1_xboole_0-{F}(V0), P_k2_group_1-{F}(V1,V2), v3_group_1-{F}(V1), v4_group_1-{F}(V1), l1_group_1-{F}(V1), P_k2_group_1-{F}(V3,V4), m1_group_2-{F}(V3,V1), V4 == V2 | v3_struct_0-{T}(V1)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #95: input, references = 5, size of lhs = 5:
% 271.19/271.38 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
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #96: input, references = 5, size of lhs = 3:
% 271.19/271.38 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V1 == V0 | FALSE
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #97: input, references = 3, size of lhs = 3:
% 271.19/271.38 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), r2_hidden-{F}(V2,V1) | FALSE
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #98: input, references = 5, size of lhs = 4:
% 271.19/271.38 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), v1_xboole_0-{F}(V2), V2 == V1 | FALSE
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #99: input, references = 8, size of lhs = 1:
% 271.19/271.38 #-{F} V0 | EXISTS V1: P_k2_group_1-{T}(V0,V1)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #100: input, references = 13, size of lhs = 2:
% 271.19/271.38 #-{F} V0, #-{F} V1 | EXISTS V2: P_k1_funct_1-{T}(V0,V1,V2)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #101: input, references = 5, size of lhs = 1:
% 271.19/271.38 #-{F} V0 | EXISTS V1: P_k1_latsubgr-{T}(V0,V1)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #102: input, references = 5, size of lhs = 2:
% 271.19/271.38 #-{F} V0, #-{F} V1 | EXISTS V2: P_g1_group_1-{T}(V0,V1,V2)
% 271.19/271.38 (used 0 times, uses = {})
% 271.19/271.38
% 271.19/271.38 #103: input, references = 14, size of lhs = 1:
% 271.19/271.38 #-{F} V0 | EXISTS V1: P_u1_struct_0-{T}(V0,V1)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #104: input, references = 7, size of lhs = 1:
% 271.19/271.39 #-{F} V0 | EXISTS V1: P_u1_group_1-{T}(V0,V1)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #105: input, references = 13, size of lhs = 1:
% 271.19/271.39 #-{F} V0 | EXISTS V1: P_k1_zfmisc_1-{T}(V0,V1)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #106: input, references = 6, size of lhs = 2:
% 271.19/271.39 #-{F} V0, #-{F} V1 | EXISTS V2: P_k2_zfmisc_1-{T}(V0,V1,V2)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #107: input, references = 4, size of lhs = 1:
% 271.19/271.39 #-{F} V0 | EXISTS V1: P_k1_group_3-{T}(V0,V1)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #108: input, references = 4, size of lhs = 0:
% 271.19/271.39 FALSE | EXISTS V0: P_k1_xboole_0-{T}(V0)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 number of initial rules = 109
% 271.19/271.39
% 271.19/271.39 Simplifiers:
% 271.19/271.39 #109: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 v4_group_1-{F}(V0), v4_group_1-{F}(V1), V0 == V1 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #110: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 P_k2_group_1-{F}(V0,V1), P_k2_group_1-{F}(V0,V3), V1 == V3 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #111: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 P_k1_funct_1-{F}(V0,V1,V2), P_k1_funct_1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #112: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 P_k1_latsubgr-{F}(V0,V1), P_k1_latsubgr-{F}(V0,V3), V1 == V3 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #113: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 P_g1_group_1-{F}(V0,V1,V2), P_g1_group_1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #114: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 P_u1_struct_0-{F}(V0,V1), P_u1_struct_0-{F}(V0,V3), V1 == V3 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #115: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 P_u1_group_1-{F}(V0,V1), P_u1_group_1-{F}(V0,V3), V1 == V3 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #116: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 P_k1_zfmisc_1-{F}(V0,V1), P_k1_zfmisc_1-{F}(V0,V3), V1 == V3 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #117: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 P_k2_zfmisc_1-{F}(V0,V1,V2), P_k2_zfmisc_1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #118: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 P_k1_group_3-{F}(V0,V1), P_k1_group_3-{F}(V0,V3), V1 == V3 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #119: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 P_k1_xboole_0-{F}(V0), P_k1_xboole_0-{F}(V1), V0 == V1 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #120: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #121: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #122: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V5,V6,V7), V2 == V6 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #123: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #124: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V4,V5), V0 == V3 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #125: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V4,V5), V1 == V4 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #126: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V4,V5), V2 == V5 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #127: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #128: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #129: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #130: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #131: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #132: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #133: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #134: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 pppp10-{F}(V0,V1,V2), pppp10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #135: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #136: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #137: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #138: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 pppp14-{F}(V0,V1,V2), pppp14-{F}(V0,V1,V5), V2 == V5 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #139: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 pppp15-{F}(V0,V1), pppp15-{F}(V2,V1), V0 == V2 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #140: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #141: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #142: unsound, references = 3, size of lhs = 3:
% 271.19/271.39 pppp18-{F}(V0,V1), pppp18-{F}(V2,V1), V0 == V2 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 number of simplifiers = 34
% 271.19/271.39
% 271.19/271.39 Learnt:
% 271.19/271.39 #149: mergings( V0 == V2; #146 ), references = 1, size of lhs = 1:
% 271.19/271.39 P_k1_xboole_0-{F}(V0) | pppp13-{T}(V0)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #151: mergings( V0 == V2; #147 ), references = 1, size of lhs = 2:
% 271.19/271.39 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1) | pppp13-{T}(V1)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #160: mergings( V6 == V7; #158 ), references = 5, size of lhs = 13:
% 271.19/271.39 l1_group_1-{F}(V0), P_u1_group_1-{F}(V0,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), l1_group_1-{F}(V4), P_u1_group_1-{F}(V4,V1), P_u1_struct_0-{F}(V4,V2), P_k1_xboole_0-{F}(V5), P_g1_group_1-{F}(V2,V1,V6), P_g1_group_1-{F}(V7,V8,V6), V1 == V8 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #164: disj( #90, input ), references = 2, size of lhs = 3:
% 271.19/271.39 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V1,V2), P_k1_zfmisc_1-{F}(V3,V2) | r2_hidden-{T}(V1,V2)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #166: mergings( V0 == V3; #162 ), references = 16, size of lhs = 3:
% 271.19/271.39 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V1,V2), V2 == V0 | r2_hidden-{T}(V1,V2)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #169: mergings( V0 == V3, V2 == V3; #163 ), references = 1, size of lhs = 4:
% 271.19/271.39 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V0 == V1, m1_subset_1-{F}(V2,V0) | r2_hidden-{T}(V2,V0)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #186: exists( #106, #182 ), references = 2, size of lhs = 15:
% 271.19/271.39 l1_group_1-{F}(V0), P_u1_group_1-{F}(V0,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), l1_group_1-{F}(V4), P_u1_group_1-{F}(V4,V1), P_u1_struct_0-{F}(V4,V2), P_k1_xboole_0-{F}(V5), P_g1_group_1-{F}(V2,V1,V6), P_u1_struct_0-{F}(V6,V7), P_u1_group_1-{F}(V6,V8), P_g1_group_1-{F}(V7,V8,V9), V6 == V9 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #188: mergings( V6 == V7; #185 ), references = 3, size of lhs = 16:
% 271.19/271.39 l1_group_1-{F}(V0), P_u1_group_1-{F}(V0,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), l1_group_1-{F}(V4), P_u1_group_1-{F}(V4,V1), P_u1_struct_0-{F}(V4,V2), P_k1_xboole_0-{F}(V5), P_g1_group_1-{F}(V2,V1,V6), P_u1_group_1-{F}(V6,V7), P_u1_struct_0-{F}(V6,V8), P_g1_group_1-{F}(V8,V7,V9), P_g1_group_1-{F}(V10,V11,V9), V7 == V11 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #209: disj( #43, input ), references = 1, size of lhs = 3:
% 271.19/271.39 v3_group_1-{F}(V0), l1_group_1-{F}(V0), pppp2-{F}(V0,V1,V2) | pppp20-{T}(V0)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #241: mergings( V0 == V3; #237 ), references = 1, size of lhs = 3:
% 271.19/271.39 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), V1 == V0 | pppp21-{T}(V2)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #244: mergings( V0 == V3, V1 == V3; #238 ), references = 1, size of lhs = 4:
% 271.19/271.39 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V0 == V1, P_k1_zfmisc_1-{F}(V0,V2) | pppp21-{T}(V2)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #246: mergings( V1 == V0; #239 ), references = 1, size of lhs = 3:
% 271.19/271.39 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V0), P_k1_zfmisc_1-{F}(V0,V2) | pppp21-{T}(V2)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #258: mergings( V0 == V4; #255 ), references = 1, size of lhs = 2:
% 271.19/271.39 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2) | pppp15-{T}(V0,V2)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #260: mergings( V0 == V4; #256 ), references = 1, size of lhs = 3:
% 271.19/271.39 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V2,V3) | pppp15-{T}(V1,V3)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #279: mergings( V2 == V3; #277 ), references = 5, size of lhs = 5:
% 271.19/271.39 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
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #283: mergings( V2 == V3; #281 ), references = 1, size of lhs = 3:
% 271.19/271.39 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2) | pppp9-{T}(V2,V0)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #302: disj( #82, input ), references = 1, size of lhs = 5:
% 271.19/271.39 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)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #313: exists( #102, #186 ), references = 1, size of lhs = 13:
% 271.19/271.39 l1_group_1-{F}(V0), P_u1_group_1-{F}(V0,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), l1_group_1-{F}(V4), P_u1_group_1-{F}(V4,V1), P_u1_struct_0-{F}(V4,V2), P_k1_xboole_0-{F}(V5), P_g1_group_1-{F}(V2,V1,V6), P_u1_struct_0-{F}(V6,V7), P_u1_group_1-{F}(V6,V8) | P_g1_group_1-{T}(V7,V8,V6)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #314: exists( #102, #10 ), references = 12, size of lhs = 4:
% 271.19/271.39 l1_group_1-{F}(V0), v1_group_1-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_u1_group_1-{F}(V0,V2) | P_g1_group_1-{T}(V1,V2,V0)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #322: mergings( V7 == V9; #320 ), references = 2, size of lhs = 18:
% 271.19/271.39 l1_group_1-{F}(V0), P_u1_group_1-{F}(V0,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), l1_group_1-{F}(V4), P_u1_group_1-{F}(V4,V1), P_u1_struct_0-{F}(V4,V2), P_g1_group_1-{F}(V2,V1,V5), P_u1_struct_0-{F}(V5,V6), P_k1_xboole_0-{F}(V7), v1_funct_1-{F}(V8), P_g1_group_1-{F}(V9,V8,V5), V9 == V6, P_k2_zfmisc_1-{F}(V9,V9,V10), v1_funct_2-{F}(V8,V10,V9), m1_relset_1-{F}(V8,V10,V9) | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #325: mergings( V7 == V8; #323 ), references = 1, size of lhs = 16:
% 271.19/271.39 l1_group_1-{F}(V0), P_u1_group_1-{F}(V0,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), l1_group_1-{F}(V4), P_u1_group_1-{F}(V4,V1), P_u1_struct_0-{F}(V4,V2), P_g1_group_1-{F}(V2,V1,V5), P_k1_xboole_0-{F}(V6), v1_funct_1-{F}(V7), P_g1_group_1-{F}(V8,V7,V5), P_k2_zfmisc_1-{F}(V8,V8,V9), v1_funct_2-{F}(V7,V9,V8), m1_relset_1-{F}(V7,V9,V8) | P_u1_struct_0-{T}(V5,V8)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #332: exists( #104, #326 ), references = 3, size of lhs = 9:
% 271.19/271.39 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)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #333: exists( #104, #327 ), references = 1, size of lhs = 14:
% 271.19/271.39 l1_group_1-{F}(V0), v1_group_1-{F}(V0), P_u1_struct_0-{F}(V0,V1), l1_group_1-{F}(V2), P_u1_group_1-{F}(V2,V3), P_u1_struct_0-{F}(V2,V4), P_g1_group_1-{F}(V4,V3,V0), l1_group_1-{F}(V5), P_u1_group_1-{F}(V5,V3), P_u1_struct_0-{F}(V5,V4), l1_group_1-{F}(V6), P_u1_group_1-{F}(V6,V3), P_u1_struct_0-{F}(V6,V4), P_k1_xboole_0-{F}(V7) | P_u1_group_1-{T}(V0,V3)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #334: exists( #104, #328 ), references = 1, size of lhs = 15:
% 271.19/271.39 l1_group_1-{F}(V0), v1_group_1-{F}(V0), l1_group_1-{F}(V1), P_u1_group_1-{F}(V1,V2), P_u1_struct_0-{F}(V1,V3), P_g1_group_1-{F}(V3,V2,V0), l1_group_1-{F}(V4), P_u1_group_1-{F}(V4,V2), P_u1_struct_0-{F}(V4,V3), l1_group_1-{F}(V5), P_u1_group_1-{F}(V5,V2), P_u1_struct_0-{F}(V5,V3), P_k1_xboole_0-{F}(V6), P_u1_struct_0-{F}(V0,V7), P_g1_group_1-{F}(V8,V9,V0) | P_u1_group_1-{T}(V0,V9)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #371: disj( #28, input ), references = 2, size of lhs = 8:
% 271.19/271.39 v3_group_1-{F}(V0), v4_group_1-{F}(V0), l1_group_1-{F}(V0), P_k1_latsubgr-{F}(V0,V1), P_k1_group_3-{F}(V0,V2), P_u1_struct_0-{F}(V0,V3), P_k1_zfmisc_1-{F}(V3,V4), pppp2-{F}(V0,V5,V6) | v1_funct_2-{T}(V1,V2,V4)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #403: disj( #14, input ), references = 1, size of lhs = 5:
% 271.19/271.39 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)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #405: mergings( V2 == V3; #401 ), references = 1, size of lhs = 6:
% 271.19/271.39 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)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #406: disj( #14, input ), references = 1, size of lhs = 4:
% 271.19/271.39 v1_funct_1-{F}(V0), m1_relset_1-{F}(V0,V1,V2), v1_funct_2-{F}(V0,V1,V2), P_k1_zfmisc_1-{F}(V3,V2) | v1_partfun1-{T}(V0,V1,V2)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #455: disj( #20, #18+#6 ), references = 1, size of lhs = 12:
% 271.19/271.39 v3_group_1-{F}(V0), v4_group_1-{F}(V0), l1_group_1-{F}(V0), P_k1_group_3-{F}(V0,V1), P_u1_struct_0-{F}(V0,V2), P_k1_zfmisc_1-{F}(V2,V3), P_k1_latsubgr-{F}(V0,V4), v1_funct_1-{F}(V5), V5 == V4, v1_funct_2-{F}(V5,V1,V3), m2_relset_1-{F}(V5,V1,V3), pppp2-{F}(V0,V6,V7) | pppp19-{T}(V0,V5)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #469: mergings( V2 == V3, V3 == V4; #466 ), references = 1, size of lhs = 6:
% 271.19/271.39 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 | pppp9-{T}(V4,V0)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #473: exists( #99, #471 ), references = 1, size of lhs = 7:
% 271.19/271.39 P_k1_xboole_0-{F}(V0), v3_group_1-{F}(V1), v4_group_1-{F}(V1), l1_group_1-{F}(V1), P_k2_group_1-{F}(V1,V2), m1_group_2-{F}(V3,V1), pppp2-{F}(V1,V4,V5) | P_k2_group_1-{T}(V3,V2)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #494: mergings( V3 == V4; #492 ), references = 1, size of lhs = 4:
% 271.19/271.39 P_u1_struct_0-{F}(V0,V1), m1_group_2-{F}(V0,V2), pppp0-{F}(V2,V3), pppp4-{F}(V4,V3,V0) | P_k1_funct_1-{T}(V3,V0,V1)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #497: exists( #103, #495 ), references = 3, size of lhs = 4:
% 271.19/271.39 pppp0-{F}(V0,V1), m1_group_2-{F}(V2,V0), pppp4-{F}(V3,V1,V2), pppp4-{F}(V4,V1,V2) | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #518: disj( #30, mergings( V2 == V3; #277 ) ), references = 2, size of lhs = 7:
% 271.19/271.39 l1_group_1-{F}(V0), P_k2_group_1-{F}(V0,V1), P_u1_struct_0-{F}(V0,V2), P_k1_xboole_0-{F}(V3), V1 == V3, v1_xboole_0-{F}(V4), P_k1_zfmisc_1-{F}(V4,V2) | v3_struct_0-{T}(V0)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #519: disj( #30, input ), references = 1, size of lhs = 7:
% 271.19/271.39 l1_group_1-{F}(V0), P_k2_group_1-{F}(V0,V1), P_u1_struct_0-{F}(V0,V2), P_k1_xboole_0-{F}(V3), v1_xboole_0-{F}(V4), P_k1_zfmisc_1-{F}(V4,V2), r2_hidden-{F}(V5,V1) | v3_struct_0-{T}(V0)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #535: mergings( V0 == V4, V4 == V5; #532 ), references = 1, size of lhs = 5:
% 271.19/271.39 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)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #551: mergings( V0 == V4, V4 == V5; #548 ), references = 1, size of lhs = 5:
% 271.19/271.39 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)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #575: disj( #29, input ), references = 2, size of lhs = 8:
% 271.19/271.39 v3_group_1-{F}(V0), v4_group_1-{F}(V0), l1_group_1-{F}(V0), P_k1_latsubgr-{F}(V0,V1), P_k1_group_3-{F}(V0,V2), P_u1_struct_0-{F}(V0,V3), P_k1_zfmisc_1-{F}(V3,V4), pppp2-{F}(V0,V5,V6) | m2_relset_1-{T}(V1,V2,V4)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #619: mergings( V2 == V3; #615 ), references = 4, size of lhs = 5:
% 271.19/271.39 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
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #623: mergings( V2 == V3, V3 == V4, V4 == V5; #616 ), references = 2, size of lhs = 10:
% 271.19/271.39 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
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #627: mergings( V2 == V3, V3 == V4, V4 == V5; #617 ), references = 3, size of lhs = 10:
% 271.19/271.39 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), V5 == V0, m2_relset_1-{F}(V6,V7,V8), P_k2_zfmisc_1-{F}(V7,V8,V4) | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #662: exists( #100, #19 ), references = 1, size of lhs = 4:
% 271.19/271.39 v1_group_1-{F}(V0), P_u1_struct_0-{F}(V0,V1), m1_group_2-{F}(V0,V2), pppp0-{F}(V2,V3) | P_k1_funct_1-{T}(V3,V0,V1)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #674: disj( #17, input ), references = 2, size of lhs = 11:
% 271.19/271.39 v3_group_1-{F}(V0), v4_group_1-{F}(V0), l1_group_1-{F}(V0), P_k1_group_3-{F}(V0,V1), P_u1_struct_0-{F}(V0,V2), P_k1_zfmisc_1-{F}(V2,V3), P_k1_latsubgr-{F}(V0,V4), v1_funct_1-{F}(V4), v1_funct_2-{F}(V4,V1,V3), m2_relset_1-{F}(V4,V1,V3), pppp2-{F}(V0,V5,V6) | pppp0-{T}(V0,V4)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #716: exists( #100, #714 ), references = 1, size of lhs = 5:
% 271.19/271.39 pppp0-{F}(V0,V1), pppp4-{F}(V0,V2,V3), P_u1_struct_0-{F}(V3,V4), pppp4-{F}(V5,V1,V3), pppp4-{F}(V6,V1,V3) | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #718: exists( #103, #715 ), references = 1, size of lhs = 4:
% 271.19/271.39 pppp0-{F}(V0,V1), pppp4-{F}(V0,V2,V3), pppp4-{F}(V4,V1,V3), pppp4-{F}(V5,V1,V3) | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #755: exists( #100, #751 ), references = 1, size of lhs = 4:
% 271.19/271.39 pppp0-{F}(V0,V1), pppp4-{F}(V2,V1,V3), pppp4-{F}(V4,V1,V3), pppp1-{F}(V0,V3,V5,V6) | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #758: mergings( V4 == V6, V5 == V7; #754 ), references = 7, size of lhs = 3:
% 271.19/271.39 P_u1_struct_0-{F}(V0,V1), pppp0-{F}(V2,V3), pppp1-{F}(V2,V0,V4,V3) | P_k1_funct_1-{T}(V3,V0,V1)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #808: mergings( V6 == V3, V8 == V9; #805 ), references = 1, size of lhs = 10:
% 271.19/271.39 P_k1_xboole_0-{F}(V0), v3_group_1-{F}(V1), v4_group_1-{F}(V1), l1_group_1-{F}(V1), P_k2_group_1-{F}(V1,V2), pppp0-{F}(V1,V3), P_k2_group_1-{F}(V4,V5), V5 == V2, pppp1-{F}(V1,V4,V6,V3), pppp2-{F}(V1,V7,V8) | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #812: mergings( V5 == V3, V7 == V8; #809 ), references = 1, size of lhs = 8:
% 271.19/271.39 P_k1_xboole_0-{F}(V0), v3_group_1-{F}(V1), v4_group_1-{F}(V1), l1_group_1-{F}(V1), P_k2_group_1-{F}(V1,V2), pppp0-{F}(V1,V3), pppp1-{F}(V1,V4,V5,V3), pppp2-{F}(V1,V6,V7) | P_k2_group_1-{T}(V4,V2)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #850: mergings( V5 == V6, V6 == V7; #847 ), references = 1, size of lhs = 6:
% 271.19/271.39 pppp0-{F}(V0,V1), pppp4-{F}(V0,V2,V3), P_u1_struct_0-{F}(V3,V4), P_k1_funct_1-{F}(V1,V3,V5), V5 == V4, pppp4-{F}(V6,V2,V3) | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #854: mergings( V5 == V6, V6 == V7; #851 ), references = 1, size of lhs = 4:
% 271.19/271.39 pppp0-{F}(V0,V1), pppp4-{F}(V0,V2,V3), P_u1_struct_0-{F}(V3,V4), pppp4-{F}(V5,V2,V3) | P_k1_funct_1-{T}(V1,V3,V4)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #888: mergings( V2 == V3; #886 ), references = 2, size of lhs = 6:
% 271.19/271.39 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
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #923: mergings( V2 == V3; #921 ), references = 1, size of lhs = 9:
% 271.19/271.39 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, P_k2_zfmisc_1-{F}(V5,V6,V4), m2_relset_1-{F}(V7,V5,V6), V7 == V0 | pppp9-{T}(V7,V0)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #964: mergings( V2 == V3, V3 == V4; #960 ), references = 1, size of lhs = 13:
% 271.19/271.39 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,V10), V10 == V0, m2_relset_1-{F}(V10,V11,V12), P_k2_zfmisc_1-{F}(V11,V12,V4) | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #967: mergings( V2 == V3, V3 == V4; #961 ), references = 1, size of lhs = 13:
% 271.19/271.39 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), V5 == V0, m2_relset_1-{F}(V6,V7,V8), P_k2_zfmisc_1-{F}(V7,V8,V9), V9 == V0, m2_relset_1-{F}(V9,V10,V11), P_k2_zfmisc_1-{F}(V10,V11,V4) | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #1025: disj( #82, input ), references = 1, size of lhs = 5:
% 271.19/271.39 P_k1_xboole_0-{F}(V0), l1_struct_0-{F}(V1), pppp17-{F}(V1), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3) | pppp22-{T}(V3)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #1088: disj( #20, mergings( V5 == V6, V6 == V7; #847 ) ), references = 1, size of lhs = 5:
% 271.19/271.39 P_u1_struct_0-{F}(V0,V1), pppp4-{F}(V2,V3,V0), pppp4-{F}(V4,V3,V0), P_k1_funct_1-{F}(V5,V0,V6), V6 == V1 | pppp19-{T}(V2,V5)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #1089: disj( #20, input ), references = 1, size of lhs = 5:
% 271.19/271.39 v1_group_1-{F}(V0), P_u1_struct_0-{F}(V0,V1), m1_group_2-{F}(V0,V2), P_k1_funct_1-{F}(V3,V0,V4), V4 == V1 | pppp19-{T}(V2,V3)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #1119: disj( #15, input ), references = 1, size of lhs = 6:
% 271.19/271.39 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)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #1121: mergings( V2 == V3; #1117 ), references = 1, size of lhs = 7:
% 271.19/271.39 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)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #1122: disj( #15, input ), references = 1, size of lhs = 5:
% 271.19/271.39 v1_funct_1-{F}(V0), v1_xboole_0-{F}(V0), m1_relset_1-{F}(V0,V1,V2), v1_funct_2-{F}(V0,V1,V2), P_k1_zfmisc_1-{F}(V3,V2) | v1_xboole_0-{T}(V1)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #1265: mergings( V2 == V3, V3 == V4; #1262 ), references = 2, size of lhs = 8:
% 271.19/271.39 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), 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,V2) | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #1319: mergings( V2 == V4; #1316 ), references = 1, size of lhs = 13:
% 271.19/271.39 v1_funct_1-{F}(V0), l1_group_1-{F}(V1), v1_group_1-{F}(V1), P_k1_xboole_0-{F}(V2), v1_funct_1-{F}(V3), P_g1_group_1-{F}(V4,V0,V1), P_k2_zfmisc_1-{F}(V4,V4,V5), v1_funct_2-{F}(V0,V5,V4), m1_relset_1-{F}(V0,V5,V4), P_g1_group_1-{F}(V6,V3,V1), P_k2_zfmisc_1-{F}(V6,V6,V7), v1_funct_2-{F}(V3,V7,V6), m1_relset_1-{F}(V3,V7,V6) | P_u1_struct_0-{T}(V1,V6)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #1321: mergings( V2 == V4; #1317 ), references = 1, size of lhs = 13:
% 271.19/271.39 v1_funct_1-{F}(V0), v1_group_1-{F}(V1), l1_group_1-{F}(V1), P_k1_xboole_0-{F}(V2), v1_funct_1-{F}(V3), P_g1_group_1-{F}(V4,V0,V1), P_k2_zfmisc_1-{F}(V4,V4,V5), v1_funct_2-{F}(V0,V5,V4), m1_relset_1-{F}(V0,V5,V4), P_g1_group_1-{F}(V6,V3,V1), P_k2_zfmisc_1-{F}(V6,V6,V7), v1_funct_2-{F}(V3,V7,V6), m1_relset_1-{F}(V3,V7,V6) | P_u1_struct_0-{T}(V1,V6)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #1436: mergings( V2 == V3, V3 == V4; #1433 ), references = 1, size of lhs = 9:
% 271.19/271.39 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,V6), V6 == V0, m2_relset_1-{F}(V6,V7,V8), P_k2_zfmisc_1-{F}(V7,V8,V1) | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #1540: mergings( V2 == V3, V3 == V4, V4 == V5; #1535 ), references = 1, size of lhs = 10:
% 271.19/271.39 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), V1 == V0, m2_relset_1-{F}(V1,V3,V4), P_k2_zfmisc_1-{F}(V3,V4,V5), V5 == 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,V2) | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #1544: mergings( V2 == V3, V3 == V4, V4 == V5; #1536 ), references = 1, size of lhs = 13:
% 271.19/271.39 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), V1 == V0, P_k1_zfmisc_1-{F}(V3,V4), m2_relset_1-{F}(V4,V5,V6), P_k2_zfmisc_1-{F}(V5,V6,V7), V7 == V0, r2_hidden-{F}(V7,V8), r2_hidden-{F}(V8,V9), m2_relset_1-{F}(V9,V10,V11), P_k2_zfmisc_1-{F}(V10,V11,V2), m2_relset_1-{F}(V1,V12,V13), P_k2_zfmisc_1-{F}(V12,V13,V4) | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #1655: disj( #33, input ), references = 1, size of lhs = 4:
% 271.19/271.39 v3_group_1-{F}(V0), l1_group_1-{F}(V0), m1_group_2-{F}(V1,V0), pppp2-{F}(V0,V2,V3) | v3_group_1-{T}(V1)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #1793: exists( #100, #1791 ), references = 3, size of lhs = 6:
% 271.19/271.39 v3_group_1-{F}(V0), l1_group_1-{F}(V0), v3_struct_0-{F}(V1), pppp4-{F}(V0,V2,V1), P_u1_struct_0-{F}(V1,V3), pppp2-{F}(V0,V4,V5) | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #1908: disj( #34, input ), references = 2, size of lhs = 8:
% 271.19/271.39 v3_group_1-{F}(V0), l1_group_1-{F}(V0), v1_group_1-{F}(V1), m1_group_2-{F}(V1,V0), P_u1_struct_0-{F}(V1,V2), P_u1_group_1-{F}(V1,V3), P_g1_group_1-{F}(V2,V3,V4), V1 == V4 | v3_struct_0-{T}(V0)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #1909: disj( #34, mergings( V6 == V7; #158 ) ), references = 3, size of lhs = 9:
% 271.19/271.39 v3_group_1-{F}(V0), l1_group_1-{F}(V0), m1_group_2-{F}(V1,V0), P_u1_group_1-{F}(V1,V2), P_u1_struct_0-{F}(V1,V3), P_k1_xboole_0-{F}(V4), P_g1_group_1-{F}(V3,V2,V5), P_g1_group_1-{F}(V6,V7,V5), V2 == V7 | v3_struct_0-{T}(V0)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #1910: disj( #34, exists( #106, #182 ) ), references = 1, size of lhs = 11:
% 271.19/271.39 v3_group_1-{F}(V0), l1_group_1-{F}(V0), m1_group_2-{F}(V1,V0), P_u1_group_1-{F}(V1,V2), P_u1_struct_0-{F}(V1,V3), P_k1_xboole_0-{F}(V4), P_g1_group_1-{F}(V3,V2,V5), P_u1_struct_0-{F}(V5,V6), P_u1_group_1-{F}(V5,V7), P_g1_group_1-{F}(V6,V7,V8), V5 == V8 | v3_struct_0-{T}(V0)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #1996: mergings( V2 == V3, V3 == V4; #1993 ), references = 1, size of lhs = 8:
% 271.19/271.39 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, m2_relset_1-{F}(V5,V6,V7), P_k2_zfmisc_1-{F}(V6,V7,V1) | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #2025: exists( #102, #2021 ), references = 3, size of lhs = 7:
% 271.19/271.39 v3_group_1-{F}(V0), l1_group_1-{F}(V0), v1_group_1-{F}(V1), m1_group_2-{F}(V1,V0), P_u1_struct_0-{F}(V1,V2), P_u1_group_1-{F}(V1,V3), pppp2-{F}(V0,V4,V5) | P_g1_group_1-{T}(V2,V3,V1)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #2032: mergings( V2 == V4, V6 == V10, V7 == V11; #2028 ), references = 7, size of lhs = 8:
% 271.19/271.39 v1_group_1-{F}(V0), v3_group_1-{F}(V1), l1_group_1-{F}(V1), m1_group_2-{F}(V0,V1), P_u1_struct_0-{F}(V0,V2), P_k1_xboole_0-{F}(V3), P_g1_group_1-{F}(V4,V5,V0), pppp2-{F}(V1,V6,V7) | P_u1_group_1-{T}(V0,V5)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #2054: mergings( V2 == V4, V5 == V3, V3 == V19, V13 == V14, V14 == V20, V7 == V9, V9 == V11, V8 == V10, V10 == V12; #2044 ), references = 1, size of lhs = 9:
% 271.19/271.39 v3_group_1-{F}(V0), l1_group_1-{F}(V0), P_k1_xboole_0-{F}(V1), pppp0-{F}(V0,V2), pppp2-{F}(V0,V3,V4), pppp1-{F}(V0,V5,V6,V2), P_g1_group_1-{F}(V7,V8,V5), P_g1_group_1-{F}(V9,V10,V5), V8 == V10 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #2192: mergings( V2 == V3; #2190 ), references = 1, size of lhs = 7:
% 271.19/271.39 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2), m2_relset_1-{F}(V2,V3,V4), P_k2_zfmisc_1-{F}(V3,V4,V5), V5 == V0, P_k1_funct_1-{F}(V6,V7,V5), pppp1-{F}(V8,V7,V1,V6) | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #2312: disj( #34, input ), references = 11, size of lhs = 4:
% 271.19/271.39 v3_group_1-{F}(V0), l1_group_1-{F}(V0), m1_group_2-{F}(V1,V0), pppp2-{F}(V0,V2,V3) | l1_group_1-{T}(V1)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #2433: mergings( V5 == V6; #2431 ), references = 2, size of lhs = 11:
% 271.19/271.39 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
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #2451: mergings( V2 == V5, V5 == V6, V7 == V4, V4 == V20, V10 == V11, V11 == V21, V12 == V14, V14 == V16, V13 == V15, V15 == V17; #2440 ), references = 1, size of lhs = 9:
% 271.19/271.39 v1_funct_1-{F}(V0), v3_group_1-{F}(V1), l1_group_1-{F}(V1), P_k1_xboole_0-{F}(V2), pppp0-{F}(V1,V3), P_g1_group_1-{F}(V4,V0,V5), pppp1-{F}(V1,V5,V6,V3), pppp2-{F}(V1,V7,V8), P_g1_group_1-{F}(V9,V10,V5) | P_u1_struct_0-{T}(V5,V9)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #2712: disj( #43, exists( #100, #1791 ) ), references = 1, size of lhs = 7:
% 271.19/271.39 v3_group_1-{F}(V0), l1_group_1-{F}(V0), v3_group_1-{F}(V1), l1_group_1-{F}(V1), pppp4-{F}(V1,V2,V0), P_u1_struct_0-{F}(V0,V3), pppp2-{F}(V1,V4,V5) | pppp20-{T}(V0)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #2863: disj( #30, #166+#7 ), references = 2, size of lhs = 7:
% 271.19/271.39 l1_group_1-{F}(V0), P_k2_group_1-{F}(V0,V1), P_u1_struct_0-{F}(V0,V2), P_k1_xboole_0-{F}(V3), V2 == V3, P_k1_funct_1-{F}(V4,V5,V2), pppp1-{F}(V6,V5,V1,V4) | v3_struct_0-{T}(V0)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #2876: mergings( V5 == V2, V2 == V11, V8 == V10, V10 == V9, V11 == V4, V12 == V14, V13 == V15; #2868 ), references = 1, size of lhs = 8:
% 271.19/271.39 P_k1_xboole_0-{F}(V0), v3_group_1-{F}(V1), l1_group_1-{F}(V1), pppp0-{F}(V1,V2), pppp4-{F}(V1,V3,V4), P_k2_group_1-{F}(V4,V5), pppp1-{F}(V1,V4,V5,V2), pppp2-{F}(V1,V6,V7) | P_u1_struct_0-{T}(V4,V0)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #2987: mergings( V7 == V8, V8 == V9, V9 == V11, V4 == V6, V13 == V15, V14 == V16; #2978 ), references = 1, size of lhs = 11:
% 271.19/271.39 v3_group_1-{F}(V0), l1_group_1-{F}(V0), v1_funct_1-{F}(V1), P_k1_xboole_0-{F}(V2), pppp4-{F}(V0,V3,V4), P_g1_group_1-{F}(V5,V1,V4), P_u1_struct_0-{F}(V4,V6), pppp4-{F}(V7,V3,V4), pppp2-{F}(V0,V8,V9), P_g1_group_1-{F}(V10,V11,V4), V6 == V10 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #2994: mergings( V6 == V7, V7 == V8, V8 == V9, V4 == V5, V11 == V15, V12 == V16; #2979 ), references = 2, size of lhs = 10:
% 271.19/271.39 v3_group_1-{F}(V0), l1_group_1-{F}(V0), P_k1_xboole_0-{F}(V1), pppp4-{F}(V0,V2,V3), P_u1_struct_0-{F}(V3,V4), pppp4-{F}(V5,V2,V3), P_g1_group_1-{F}(V6,V7,V3), pppp2-{F}(V0,V8,V9), P_g1_group_1-{F}(V10,V11,V3), V7 == V11 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #3001: mergings( V6 == V7, V7 == V8, V8 == V9, V4 == V5, V11 == V15, V12 == V16; #2980 ), references = 2, size of lhs = 10:
% 271.19/271.39 v3_group_1-{F}(V0), l1_group_1-{F}(V0), P_k1_xboole_0-{F}(V1), pppp4-{F}(V0,V2,V3), P_u1_struct_0-{F}(V3,V4), pppp4-{F}(V5,V2,V3), P_g1_group_1-{F}(V6,V7,V3), pppp2-{F}(V0,V8,V9), P_g1_group_1-{F}(V10,V11,V3), V7 == V11 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #3008: mergings( V3 == V5, V9 == V11, V10 == V12; #3002 ), references = 1, size of lhs = 9:
% 271.19/271.39 v3_group_1-{F}(V0), l1_group_1-{F}(V0), v1_funct_1-{F}(V1), P_k1_xboole_0-{F}(V2), pppp4-{F}(V0,V3,V4), P_g1_group_1-{F}(V5,V1,V4), pppp4-{F}(V6,V3,V4), pppp2-{F}(V0,V7,V8), P_g1_group_1-{F}(V9,V10,V4) | P_u1_struct_0-{T}(V4,V9)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #3106: exists( #100, #3102 ), references = 1, size of lhs = 10:
% 271.19/271.39 P_k1_xboole_0-{F}(V0), v3_group_1-{F}(V1), v4_group_1-{F}(V1), l1_group_1-{F}(V1), P_k2_group_1-{F}(V1,V2), pppp4-{F}(V1,V3,V4), P_u1_struct_0-{F}(V4,V5), P_k2_group_1-{F}(V4,V6), V6 == V2, pppp2-{F}(V1,V7,V8) | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #3112: mergings( V6 == V8, V8 == V11, V3 == V7, V12 == V14, V13 == V15; #3105 ), references = 1, size of lhs = 11:
% 271.19/271.39 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2), v3_group_1-{F}(V3), l1_group_1-{F}(V3), P_u1_struct_0-{F}(V4,V2), pppp4-{F}(V3,V5,V4), P_k2_group_1-{F}(V4,V6), V6 == V0, pppp4-{F}(V3,V7,V4), pppp2-{F}(V3,V8,V9) | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #3115: exists( #99, #3104 ), references = 1, size of lhs = 8:
% 271.19/271.39 P_k1_xboole_0-{F}(V0), v3_group_1-{F}(V1), v4_group_1-{F}(V1), l1_group_1-{F}(V1), P_k2_group_1-{F}(V1,V2), pppp4-{F}(V1,V3,V4), P_u1_struct_0-{F}(V4,V5), pppp2-{F}(V1,V6,V7) | P_k2_group_1-{T}(V4,V2)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #3121: mergings( V5 == V8, V8 == V10, V2 == V6, V11 == V13, V12 == V14; #3114 ), references = 1, size of lhs = 9:
% 271.19/271.39 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2), v3_group_1-{F}(V3), l1_group_1-{F}(V3), P_u1_struct_0-{F}(V4,V2), pppp4-{F}(V3,V5,V4), pppp4-{F}(V3,V6,V4), pppp2-{F}(V3,V7,V8) | P_k2_group_1-{T}(V4,V0)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #3214: mergings( V6 == V7, V7 == V8, V8 == V9, V9 == V11, V4 == V5, V15 == V17, V16 == V18; #3204 ), references = 1, size of lhs = 11:
% 271.19/271.39 v3_group_1-{F}(V0), l1_group_1-{F}(V0), P_k1_xboole_0-{F}(V1), pppp4-{F}(V0,V2,V3), P_u1_group_1-{F}(V3,V4), P_u1_struct_0-{F}(V3,V5), P_g1_group_1-{F}(V5,V6,V3), V6 == V4, P_g1_group_1-{F}(V7,V6,V3), pppp4-{F}(V8,V2,V3), pppp2-{F}(V0,V9,V10) | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #3221: mergings( V6 == V7, V7 == V8, V8 == V11, V3 == V4, V14 == V16, V15 == V17; #3205 ), references = 1, size of lhs = 12:
% 271.19/271.39 v3_group_1-{F}(V0), l1_group_1-{F}(V0), P_k1_xboole_0-{F}(V1), pppp4-{F}(V0,V2,V3), P_u1_group_1-{F}(V3,V4), pppp4-{F}(V0,V5,V3), P_u1_struct_0-{F}(V3,V6), pppp4-{F}(V7,V5,V3), pppp4-{F}(V8,V2,V3), pppp2-{F}(V0,V9,V10), P_g1_group_1-{F}(V11,V12,V3), V4 == V12 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #3228: mergings( V6 == V7, V7 == V8, V8 == V11, V3 == V4, V14 == V16, V15 == V17; #3206 ), references = 1, size of lhs = 12:
% 271.19/271.39 v3_group_1-{F}(V0), l1_group_1-{F}(V0), P_k1_xboole_0-{F}(V1), pppp4-{F}(V0,V2,V3), P_u1_group_1-{F}(V3,V4), pppp4-{F}(V0,V5,V3), P_u1_struct_0-{F}(V3,V6), pppp4-{F}(V7,V5,V3), pppp4-{F}(V8,V2,V3), pppp2-{F}(V0,V9,V10), P_g1_group_1-{F}(V11,V12,V3), V4 == V12 | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #3239: mergings( V6 == V7, V7 == V8, V8 == V9, V9 == V10, V3 == V4, V14 == V16, V15 == V17; #3229 ), references = 1, size of lhs = 9:
% 271.19/271.39 v3_group_1-{F}(V0), l1_group_1-{F}(V0), P_k1_xboole_0-{F}(V1), pppp4-{F}(V0,V2,V3), P_u1_struct_0-{F}(V3,V4), P_g1_group_1-{F}(V4,V5,V3), P_g1_group_1-{F}(V6,V5,V3), pppp4-{F}(V7,V2,V3), pppp2-{F}(V0,V8,V9) | P_u1_group_1-{T}(V3,V5)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #3246: mergings( V6 == V7, V7 == V8, V8 == V10, V2 == V3, V13 == V15, V14 == V16; #3230 ), references = 1, size of lhs = 10:
% 271.19/271.39 v3_group_1-{F}(V0), l1_group_1-{F}(V0), P_k1_xboole_0-{F}(V1), pppp4-{F}(V0,V2,V3), pppp4-{F}(V0,V4,V3), P_u1_struct_0-{F}(V3,V5), pppp4-{F}(V6,V4,V3), pppp4-{F}(V7,V2,V3), pppp2-{F}(V0,V8,V9), P_g1_group_1-{F}(V10,V11,V3) | P_u1_group_1-{T}(V3,V11)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #3253: mergings( V6 == V7, V7 == V8, V8 == V10, V2 == V3, V13 == V15, V14 == V16; #3231 ), references = 1, size of lhs = 10:
% 271.19/271.39 v3_group_1-{F}(V0), l1_group_1-{F}(V0), P_k1_xboole_0-{F}(V1), pppp4-{F}(V0,V2,V3), pppp4-{F}(V0,V4,V3), P_u1_struct_0-{F}(V3,V5), pppp4-{F}(V6,V4,V3), pppp4-{F}(V7,V2,V3), pppp2-{F}(V0,V8,V9), P_g1_group_1-{F}(V10,V11,V3) | P_u1_group_1-{T}(V3,V11)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #3377: mergings( V4 == V3, V3 == V9, V6 == V8, V8 == V7, V10 == V12, V11 == V13; #3370 ), references = 1, size of lhs = 7:
% 271.19/271.39 P_k1_xboole_0-{F}(V0), v3_group_1-{F}(V1), l1_group_1-{F}(V1), pppp0-{F}(V1,V2), P_k2_group_1-{F}(V3,V4), pppp1-{F}(V1,V3,V4,V2), pppp2-{F}(V1,V5,V6) | P_u1_struct_0-{T}(V3,V0)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #3398: mergings( V4 == V5, V1 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V2 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15; #3386 ), references = 2, size of lhs = 8:
% 271.19/271.39 v4_group_1-{F}(V0), v3_group_1-{F}(V0), l1_group_1-{F}(V0), P_k2_group_1-{F}(V0,V1), pppp0-{F}(V0,V2), pppp2-{F}(V0,V1,V2), P_k1_xboole_0-{F}(V3), v1_xboole_0-{F}(V3) | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #3413: disj( #20, mergings( V4 == V5, V1 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V2 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15; #3386 ) ), references = 1, size of lhs = 7:
% 271.19/271.39 v4_group_1-{F}(V0), v3_group_1-{F}(V0), l1_group_1-{F}(V0), P_k2_group_1-{F}(V0,V1), pppp2-{F}(V0,V1,V2), P_k1_xboole_0-{F}(V3), v1_xboole_0-{F}(V3) | pppp19-{T}(V0,V2)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #3432: mergings( V2 == V5, V5 == V6, V7 == V9, V9 == V11, V11 == V13, V3 == V10, V10 == V12, V12 == V14; #3423 ), references = 2, size of lhs = 11:
% 271.19/271.39 v1_funct_1-{F}(V0), v4_group_1-{F}(V1), P_k1_latsubgr-{F}(V1,V0), v3_group_1-{F}(V1), l1_group_1-{F}(V1), P_k1_group_3-{F}(V1,V2), P_u1_struct_0-{F}(V1,V3), P_k2_group_1-{F}(V1,V4), pppp2-{F}(V1,V4,V0), P_k1_xboole_0-{F}(V5), v1_xboole_0-{F}(V5) | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #3525: disj( #27, input ), references = 1, size of lhs = 8:
% 271.19/271.39 v3_group_1-{F}(V0), v4_group_1-{F}(V0), l1_group_1-{F}(V0), P_k1_latsubgr-{F}(V0,V1), P_k1_group_3-{F}(V0,V2), P_u1_struct_0-{F}(V0,V3), P_k1_zfmisc_1-{F}(V3,V4), pppp2-{F}(V0,V5,V6) | v1_funct_1-{T}(V1)
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #3533: mergings( V2 == V5, V0 == V7, V4 == V6, V8 == V10, V3 == V11; #3527 ), references = 1, size of lhs = 10:
% 271.19/271.39 v4_group_1-{F}(V0), v3_group_1-{F}(V0), l1_group_1-{F}(V0), P_k1_latsubgr-{F}(V0,V1), P_k1_group_3-{F}(V0,V2), P_u1_struct_0-{F}(V0,V3), P_k2_group_1-{F}(V0,V4), pppp2-{F}(V0,V4,V1), P_k1_xboole_0-{F}(V5), v1_xboole_0-{F}(V5) | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #3538: mergings( V3 == V4, V5 == V7, V2 == V8; #3534 ), references = 1, size of lhs = 9:
% 271.19/271.39 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), P_k2_group_1-{F}(V0,V3), pppp2-{F}(V0,V3,V1), P_k1_xboole_0-{F}(V4), v1_xboole_0-{F}(V4) | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #3542: mergings( V3 == V5, V2 == V6; #3539 ), references = 1, size of lhs = 8:
% 271.19/271.39 v4_group_1-{F}(V0), v3_group_1-{F}(V0), l1_group_1-{F}(V0), P_k1_latsubgr-{F}(V0,V1), P_k2_group_1-{F}(V0,V2), pppp2-{F}(V0,V2,V1), P_k1_xboole_0-{F}(V3), v1_xboole_0-{F}(V3) | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #3547: exists( #101, #3545 ), references = 1, size of lhs = 5:
% 271.19/271.39 pppp3-{F}(V0), l1_group_1-{F}(V0), P_k2_group_1-{F}(V0,V1), P_k1_xboole_0-{F}(V2), v1_xboole_0-{F}(V2) | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #3549: exists( #99, #3546 ), references = 1, size of lhs = 4:
% 271.19/271.39 pppp3-{F}(V0), l1_group_1-{F}(V0), P_k1_xboole_0-{F}(V1), v1_xboole_0-{F}(V1) | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #3552: exists( #108, #3550 ), references = 2, size of lhs = 2:
% 271.19/271.39 pppp3-{F}(V0), l1_group_1-{F}(V0) | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #3571: exists( #101, #3565 ), references = 1, size of lhs = 2:
% 271.19/271.39 pppp3-{F}(V0), P_k2_group_1-{F}(V0,V1) | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #3575: exists( #99, #3568 ), references = 1, size of lhs = 1:
% 271.19/271.39 pppp3-{F}(V0) | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 #3577: exists( #0, #3572 ), references = 1, size of lhs = 0:
% 271.19/271.39 FALSE | FALSE
% 271.19/271.39 (used 0 times, uses = {})
% 271.19/271.39
% 271.19/271.39 number of learnt formulas = 111
% 271.19/271.39
% 271.19/271.39
% 271.19/271.39 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 271.19/271.39
% 271.19/271.39 randbase = 1
%------------------------------------------------------------------------------