TSTP Solution File: GRP623+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP623+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.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 06:04:13 EDT 2022
% Result : Theorem 19.94s 20.11s
% Output : Refutation 19.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP623+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n010.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 14:07:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 19.94/20.11 GeoParameters:
% 19.94/20.11
% 19.94/20.11 tptp_input = 1
% 19.94/20.11 tptp_output = 0
% 19.94/20.11 nonempty = 1
% 19.94/20.11 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.94/20.11 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 19.94/20.11
% 19.94/20.11
% 19.94/20.11 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.94/20.11 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.94/20.11
% 19.94/20.11 RuleSystem INPUT:
% 19.94/20.11
% 19.94/20.11 Initial Rules:
% 19.94/20.11 #0: input, references = 4, size of lhs = 0:
% 19.94/20.11 FALSE | EXISTS V0: pppp2-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #1: input, references = 10, size of lhs = 3:
% 19.94/20.11 pppp2-{F}(V0), P_k4_autgroup-{F}(V0,V1), P_k1_autgroup-{F}(V0,V2) | pppp1-{T}(V0,V1,V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #2: input, references = 5, size of lhs = 2:
% 19.94/20.11 pppp1-{F}(V0,V1,V2), r1_tarski-{F}(V1,V2) | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #3: input, references = 5, size of lhs = 1:
% 19.94/20.11 pppp1-{F}(V0,V1,V2) | l1_group_1-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #4: input, references = 6, size of lhs = 1:
% 19.94/20.11 pppp1-{F}(V0,V1,V2) | v4_group_1-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #5: input, references = 6, size of lhs = 1:
% 19.94/20.11 pppp1-{F}(V0,V1,V2) | v3_group_1-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #6: input, references = 7, size of lhs = 1:
% 19.94/20.11 pppp1-{F}(V0,V1,V2) | v1_group_1-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #7: input, references = 7, size of lhs = 2:
% 19.94/20.11 pppp1-{F}(V0,V1,V2), v3_struct_0-{F}(V0) | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #8: input, references = 4, size of lhs = 6:
% 19.94/20.11 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
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #9: input, references = 4, size of lhs = 2:
% 19.94/20.11 r2_hidden-{F}(V0,V1), r2_hidden-{F}(V1,V0) | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #10: input, references = 3, size of lhs = 2:
% 19.94/20.11 v1_fraenkel-{F}(V0), m1_subset_1-{F}(V1,V0) | v1_relat_1-{T}(V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #11: input, references = 3, size of lhs = 2:
% 19.94/20.11 v1_fraenkel-{F}(V0), m1_subset_1-{F}(V1,V0) | v1_funct_1-{T}(V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #12: input, references = 3, size of lhs = 1:
% 19.94/20.11 v1_xboole_0-{F}(V0) | v1_funct_1-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #13: input, references = 3, size of lhs = 3:
% 19.94/20.11 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)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #14: input, references = 4, size of lhs = 2:
% 19.94/20.11 l1_group_1-{F}(V0), v3_group_1-{F}(V0) | v3_struct_0-{T}(V0), v2_group_1-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #15: input, references = 3, size of lhs = 3:
% 19.94/20.11 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)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #16: input, references = 3, size of lhs = 3:
% 19.94/20.11 v1_relat_1-{F}(V0), v1_xboole_0-{F}(V0), v1_funct_1-{F}(V0) | v2_funct_1-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #17: input, references = 3, size of lhs = 3:
% 19.94/20.11 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)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #18: input, references = 3, size of lhs = 4:
% 19.94/20.11 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)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #19: input, references = 3, size of lhs = 3:
% 19.94/20.11 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)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #20: input, references = 4, size of lhs = 1:
% 19.94/20.11 r1_tarski-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #21: input, references = 5, size of lhs = 1:
% 19.94/20.11 pppp0-{F}(V0,V1) | r1_tarski-{T}(V0,V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #22: input, references = 8, size of lhs = 2:
% 19.94/20.11 pppp0-{F}(V0,V1), r2_hidden-{F}(V2,V0) | r2_hidden-{T}(V2,V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #23: input, references = 8, size of lhs = 2:
% 19.94/20.11 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp26-{T}(V0,V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #24: input, references = 7, size of lhs = 1:
% 19.94/20.11 pppp26-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #25: input, references = 7, size of lhs = 2:
% 19.94/20.11 pppp3-{F}(V0,V1,V2), r2_hidden-{F}(V2,V1) | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #26: input, references = 8, size of lhs = 1:
% 19.94/20.11 pppp3-{F}(V0,V1,V2) | r2_hidden-{T}(V2,V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #27: input, references = 3, size of lhs = 5:
% 19.94/20.11 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)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #28: input, references = 3, size of lhs = 5:
% 19.94/20.11 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)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #29: input, references = 4, size of lhs = 6:
% 19.94/20.11 P_k1_autgroup-{F}(V0,V1), P_u1_struct_0-{F}(V0,V2), v1_group_1-{F}(V0), v3_group_1-{F}(V0), v4_group_1-{F}(V0), l1_group_1-{F}(V0) | v3_struct_0-{T}(V0), m1_fraenkel-{T}(V1,V2,V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #30: input, references = 4, size of lhs = 6:
% 19.94/20.11 P_k4_autgroup-{F}(V0,V1), P_u1_struct_0-{F}(V0,V2), v1_group_1-{F}(V0), v3_group_1-{F}(V0), v4_group_1-{F}(V0), l1_group_1-{F}(V0) | v3_struct_0-{T}(V0), m1_fraenkel-{T}(V1,V2,V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #31: input, references = 4, size of lhs = 1:
% 19.94/20.11 l1_group_1-{F}(V0) | l1_struct_0-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #32: input, references = 5, size of lhs = 2:
% 19.94/20.11 v1_xboole_0-{F}(V0), m1_fraenkel-{F}(V0,V2,V1) | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #33: input, references = 3, size of lhs = 1:
% 19.94/20.11 m1_fraenkel-{F}(V0,V2,V1) | v1_fraenkel-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #34: input, references = 3, size of lhs = 2:
% 19.94/20.11 m1_fraenkel-{F}(V1,V2,V0), m2_fraenkel-{F}(V3,V2,V0,V1) | v1_xboole_0-{T}(V0), v1_funct_1-{T}(V3)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #35: input, references = 3, size of lhs = 2:
% 19.94/20.11 m1_fraenkel-{F}(V1,V2,V0), m2_fraenkel-{F}(V3,V2,V0,V1) | v1_xboole_0-{T}(V0), v1_funct_2-{T}(V3,V2,V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #36: input, references = 3, size of lhs = 2:
% 19.94/20.11 m1_fraenkel-{F}(V1,V2,V0), m2_fraenkel-{F}(V3,V2,V0,V1) | v1_xboole_0-{T}(V0), m2_relset_1-{T}(V3,V2,V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #37: input, references = 9, size of lhs = 3:
% 19.94/20.11 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)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #38: input, references = 5, size of lhs = 4:
% 19.94/20.11 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)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #39: input, references = 5, size of lhs = 4:
% 19.94/20.11 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)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #40: input, references = 5, size of lhs = 4:
% 19.94/20.11 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)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #41: input, references = 3, size of lhs = 0:
% 19.94/20.11 FALSE | EXISTS V0: pppp4-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #42: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp4-{F}(V0) | l1_group_1-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #43: input, references = 3, size of lhs = 0:
% 19.94/20.11 FALSE | EXISTS V0: pppp5-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #44: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp5-{F}(V0) | l1_struct_0-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #45: input, references = 3, size of lhs = 2:
% 19.94/20.11 #-{F} V0, #-{F} V1 | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #46: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp6-{F}(V0,V1,V2) | m1_fraenkel-{T}(V2,V0,V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #47: input, references = 3, size of lhs = 2:
% 19.94/20.11 #-{F} V0, #-{F} V1 | EXISTS V2: pppp7-{T}(V0,V1,V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #48: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp7-{F}(V0,V1,V2) | m1_relset_1-{T}(V2,V0,V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #49: input, references = 6, size of lhs = 1:
% 19.94/20.11 #-{F} V0 | EXISTS V1: pppp8-{T}(V0,V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #50: input, references = 8, size of lhs = 1:
% 19.94/20.11 pppp8-{F}(V0,V1) | m1_subset_1-{T}(V1,V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #51: input, references = 4, size of lhs = 1:
% 19.94/20.11 m1_fraenkel-{F}(V1,V2,V0) | v1_xboole_0-{T}(V0), pppp27-{T}(V2,V0,V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #52: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp27-{F}(V0,V1,V2) | EXISTS V3: pppp9-{T}(V0,V1,V2,V3)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #53: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp9-{F}(V0,V1,V2,V3) | m2_fraenkel-{T}(V3,V0,V1,V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #54: input, references = 3, size of lhs = 2:
% 19.94/20.11 #-{F} V0, #-{F} V1 | EXISTS V2: pppp10-{T}(V0,V1,V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #55: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp10-{F}(V0,V1,V2) | m2_relset_1-{T}(V2,V0,V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #56: input, references = 3, size of lhs = 6:
% 19.94/20.11 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), v3_struct_0-{F}(V3) | v1_xboole_0-{T}(V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #57: input, references = 3, size of lhs = 5:
% 19.94/20.11 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_xboole_0-{T}(V1), v1_group_1-{T}(V3)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #58: input, references = 7, size of lhs = 3:
% 19.94/20.11 P_u1_struct_0-{F}(V0,V1), l1_struct_0-{F}(V0), v1_xboole_0-{F}(V1) | v3_struct_0-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #59: input, references = 4, size of lhs = 1:
% 19.94/20.11 P_k1_xboole_0-{F}(V0) | v1_xboole_0-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #60: input, references = 4, size of lhs = 8:
% 19.94/20.11 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
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #61: input, references = 4, size of lhs = 8:
% 19.94/20.11 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
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #62: input, references = 3, size of lhs = 1:
% 19.94/20.11 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #63: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp11-{F}(V0) | v1_fraenkel-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #64: input, references = 3, size of lhs = 2:
% 19.94/20.11 pppp11-{F}(V0), v1_xboole_0-{F}(V0) | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #65: input, references = 3, size of lhs = 1:
% 19.94/20.11 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #66: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp12-{F}(V0) | v1_funct_1-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #67: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp12-{F}(V0) | v1_relat_1-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #68: input, references = 3, size of lhs = 3:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), #-{F} V1, #-{F} V2 | EXISTS V3: pppp13-{T}(V1,V2,V3)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #69: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp13-{F}(V0,V1,V2) | v1_funct_2-{T}(V2,V0,V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #70: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp13-{F}(V0,V1,V2) | v1_funct_1-{T}(V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #71: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp13-{F}(V0,V1,V2) | v1_relat_1-{T}(V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #72: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp13-{F}(V0,V1,V2) | m1_relset_1-{T}(V2,V0,V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #73: input, references = 3, size of lhs = 1:
% 19.94/20.11 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #74: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp14-{F}(V0) | v1_group_1-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #75: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp14-{F}(V0) | l1_group_1-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #76: input, references = 4, size of lhs = 1:
% 19.94/20.11 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #77: input, references = 5, size of lhs = 1:
% 19.94/20.11 pppp15-{F}(V0) | v1_xboole_0-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #78: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp15-{F}(V0) | v2_funct_1-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #79: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp15-{F}(V0) | v1_funct_1-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #80: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp15-{F}(V0) | v1_relat_1-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #81: input, references = 4, size of lhs = 1:
% 19.94/20.11 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp16-{T}(V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #82: input, references = 5, size of lhs = 1:
% 19.94/20.11 pppp16-{F}(V0) | v1_xboole_0-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #83: input, references = 4, size of lhs = 1:
% 19.94/20.11 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp17-{T}(V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #84: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp17-{F}(V0) | v1_funct_1-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #85: input, references = 5, size of lhs = 1:
% 19.94/20.11 pppp17-{F}(V0) | v1_xboole_0-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #86: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp17-{F}(V0) | v1_relat_1-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #87: input, references = 3, size of lhs = 1:
% 19.94/20.11 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp18-{T}(V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #88: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp18-{F}(V0) | v1_group_1-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #89: input, references = 3, size of lhs = 2:
% 19.94/20.11 pppp18-{F}(V0), v3_struct_0-{F}(V0) | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #90: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp18-{F}(V0) | l1_group_1-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #91: input, references = 4, size of lhs = 3:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), #-{F} V1, #-{F} V2 | EXISTS V3: pppp19-{T}(V1,V2,V3)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #92: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp19-{F}(V0,V1,V2) | v1_funct_1-{T}(V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #93: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp19-{F}(V0,V1,V2) | v1_relat_1-{T}(V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #94: input, references = 4, size of lhs = 1:
% 19.94/20.11 pppp19-{F}(V0,V1,V2) | m1_relset_1-{T}(V2,V0,V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #95: input, references = 3, size of lhs = 1:
% 19.94/20.11 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp20-{T}(V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #96: input, references = 3, size of lhs = 2:
% 19.94/20.11 pppp20-{F}(V0), v1_xboole_0-{F}(V0) | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #97: input, references = 3, size of lhs = 1:
% 19.94/20.11 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp21-{T}(V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #98: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp21-{F}(V0) | v2_funct_1-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #99: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp21-{F}(V0) | v1_funct_1-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #100: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp21-{F}(V0) | v1_relat_1-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #101: input, references = 3, size of lhs = 1:
% 19.94/20.11 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp23-{T}(V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #102: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp23-{F}(V0) | pppp22-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #103: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp22-{F}(V0) | v4_group_1-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #104: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp22-{F}(V0) | v3_group_1-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #105: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp22-{F}(V0) | v2_group_1-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #106: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp22-{F}(V0) | v1_group_1-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #107: input, references = 3, size of lhs = 2:
% 19.94/20.11 pppp22-{F}(V0), v3_struct_0-{F}(V0) | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #108: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp22-{F}(V0) | l1_group_1-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #109: input, references = 3, size of lhs = 1:
% 19.94/20.11 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp24-{T}(V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #110: input, references = 3, size of lhs = 2:
% 19.94/20.11 pppp24-{F}(V0), v3_struct_0-{F}(V0) | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #111: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp24-{F}(V0) | l1_struct_0-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #112: input, references = 3, size of lhs = 4:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), l1_struct_0-{F}(V1) | v3_struct_0-{T}(V1), pppp28-{T}(V3)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #113: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp28-{F}(V0) | EXISTS V1: pppp25-{T}(V1,V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #114: input, references = 3, size of lhs = 2:
% 19.94/20.11 pppp25-{F}(V0,V1), v1_xboole_0-{F}(V0) | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #115: input, references = 3, size of lhs = 1:
% 19.94/20.11 pppp25-{F}(V0,V1) | m1_subset_1-{T}(V0,V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #116: input, references = 4, size of lhs = 3:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), m1_fraenkel-{F}(V2,V3,V1), m2_fraenkel-{F}(V4,V3,V1,V2) | v1_xboole_0-{T}(V1), m1_subset_1-{T}(V4,V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #117: input, references = 4, size of lhs = 3:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), m1_fraenkel-{F}(V2,V3,V1), m1_subset_1-{F}(V4,V2) | v1_xboole_0-{T}(V1), m2_fraenkel-{T}(V4,V3,V1,V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #118: input, references = 5, size of lhs = 2:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), m2_relset_1-{F}(V3,V1,V2) | m1_relset_1-{T}(V3,V1,V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #119: input, references = 4, size of lhs = 2:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), m1_relset_1-{F}(V3,V1,V2) | m2_relset_1-{T}(V3,V1,V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #120: input, references = 3, size of lhs = 2:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), #-{F} V1 | r1_tarski-{T}(V1,V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #121: input, references = 4, size of lhs = 9:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), P_u1_struct_0-{F}(V1,V2), P_k4_autgroup-{F}(V1,V3), P_k1_autgroup-{F}(V1,V4), v1_group_1-{F}(V1), v3_group_1-{F}(V1), v4_group_1-{F}(V1), l1_group_1-{F}(V1), m2_fraenkel-{F}(V5,V2,V2,V3) | v3_struct_0-{T}(V1), m2_fraenkel-{T}(V5,V2,V2,V4)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #122: input, references = 5, size of lhs = 2:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2) | m1_subset_1-{T}(V1,V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #123: input, references = 6, size of lhs = 2:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V2,V1) | v1_xboole_0-{T}(V1), r2_hidden-{T}(V2,V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #124: input, references = 5, size of lhs = 3:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V2,V3), m1_subset_1-{F}(V1,V3) | r1_tarski-{T}(V1,V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #125: input, references = 4, size of lhs = 3:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V2,V3), r1_tarski-{F}(V1,V2) | m1_subset_1-{T}(V1,V3)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #126: input, references = 6, size of lhs = 4:
% 19.94/20.11 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)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #127: input, references = 4, size of lhs = 5:
% 19.94/20.11 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
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #128: input, references = 7, size of lhs = 3:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V1 == V0 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #129: input, references = 5, size of lhs = 3:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), r2_hidden-{F}(V2,V1) | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #130: input, references = 7, size of lhs = 4:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), v1_xboole_0-{F}(V2), V2 == V1 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #131: input, references = 7, size of lhs = 1:
% 19.94/20.11 #-{F} V0 | EXISTS V1: P_k4_autgroup-{T}(V0,V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #132: input, references = 9, size of lhs = 1:
% 19.94/20.11 #-{F} V0 | EXISTS V1: P_k1_autgroup-{T}(V0,V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #133: input, references = 4, size of lhs = 2:
% 19.94/20.11 #-{F} V0, #-{F} V1 | EXISTS V2: P_g1_group_1-{T}(V0,V1,V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #134: input, references = 7, size of lhs = 1:
% 19.94/20.11 #-{F} V0 | EXISTS V1: P_u1_struct_0-{T}(V0,V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #135: input, references = 5, size of lhs = 1:
% 19.94/20.11 #-{F} V0 | EXISTS V1: P_u1_group_1-{T}(V0,V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #136: input, references = 7, size of lhs = 1:
% 19.94/20.11 #-{F} V0 | EXISTS V1: P_k1_zfmisc_1-{T}(V0,V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #137: input, references = 5, size of lhs = 2:
% 19.94/20.11 #-{F} V0, #-{F} V1 | EXISTS V2: P_k2_zfmisc_1-{T}(V0,V1,V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #138: input, references = 4, size of lhs = 0:
% 19.94/20.11 FALSE | EXISTS V0: P_k1_xboole_0-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 number of initial rules = 139
% 19.94/20.11
% 19.94/20.11 Simplifiers:
% 19.94/20.11 #139: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 P_k4_autgroup-{F}(V0,V1), P_k4_autgroup-{F}(V0,V3), V1 == V3 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #140: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 P_k1_autgroup-{F}(V0,V1), P_k1_autgroup-{F}(V0,V3), V1 == V3 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #141: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 P_g1_group_1-{F}(V0,V1,V2), P_g1_group_1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #142: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 P_u1_struct_0-{F}(V0,V1), P_u1_struct_0-{F}(V0,V3), V1 == V3 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #143: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 P_u1_group_1-{F}(V0,V1), P_u1_group_1-{F}(V0,V3), V1 == V3 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #144: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 P_k1_zfmisc_1-{F}(V0,V1), P_k1_zfmisc_1-{F}(V0,V3), V1 == V3 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #145: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 P_k2_zfmisc_1-{F}(V0,V1,V2), P_k2_zfmisc_1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #146: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), P_k1_xboole_0-{F}(V1), V0 == V1 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #147: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V4,V5), V0 == V3 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #148: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V4,V5), V1 == V4 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #149: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V4,V5), V2 == V5 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #150: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #151: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #152: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #153: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #154: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #155: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #156: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #157: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #158: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 pppp10-{F}(V0,V1,V2), pppp10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #159: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #160: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #161: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V1,V5), V2 == V5 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #162: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #163: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #164: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #165: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #166: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #167: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 pppp19-{F}(V0,V1,V2), pppp19-{F}(V0,V1,V5), V2 == V5 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #168: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 pppp20-{F}(V0), pppp20-{F}(V1), V0 == V1 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #169: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 pppp21-{F}(V0), pppp21-{F}(V1), V0 == V1 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #170: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 pppp22-{F}(V0), pppp22-{F}(V1), V0 == V1 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #171: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 pppp23-{F}(V0), pppp23-{F}(V1), V0 == V1 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #172: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 pppp24-{F}(V0), pppp24-{F}(V1), V0 == V1 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #173: unsound, references = 3, size of lhs = 3:
% 19.94/20.11 pppp25-{F}(V0,V1), pppp25-{F}(V2,V1), V0 == V2 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 number of simplifiers = 35
% 19.94/20.11
% 19.94/20.11 Learnt:
% 19.94/20.11 #185: mergings( V0 == V2; #182 ), references = 1, size of lhs = 1:
% 19.94/20.11 P_k1_xboole_0-{F}(V0) | pppp15-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #187: mergings( V0 == V2; #183 ), references = 1, size of lhs = 2:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1) | pppp15-{T}(V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #200: mergings( V0 == V2; #197 ), references = 1, size of lhs = 1:
% 19.94/20.11 P_k1_xboole_0-{F}(V0) | pppp16-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #202: mergings( V0 == V2; #198 ), references = 1, size of lhs = 2:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1) | pppp16-{T}(V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #214: mergings( V0 == V2; #211 ), references = 1, size of lhs = 1:
% 19.94/20.11 P_k1_xboole_0-{F}(V0) | pppp17-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #216: mergings( V0 == V2; #212 ), references = 1, size of lhs = 2:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1) | pppp17-{T}(V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #228: mergings( V5 == V6; #225 ), references = 2, size of lhs = 11:
% 19.94/20.11 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
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #230: mergings( V5 == V6; #226 ), references = 2, size of lhs = 11:
% 19.94/20.11 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
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #232: exists( #133, #8 ), references = 2, size of lhs = 4:
% 19.94/20.11 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)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #248: exists( #137, #243 ), references = 1, size of lhs = 13:
% 19.94/20.11 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,V4), l1_group_1-{F}(V5), P_u1_group_1-{F}(V5,V1), P_u1_struct_0-{F}(V5,V4), P_k1_xboole_0-{F}(V6), P_g1_group_1-{F}(V4,V1,V7), P_g1_group_1-{F}(V8,V9,V7), V4 == V8 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #249: exists( #137, #244 ), references = 1, size of lhs = 13:
% 19.94/20.11 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,V4), l1_group_1-{F}(V5), P_u1_group_1-{F}(V5,V1), P_u1_struct_0-{F}(V5,V4), P_k1_xboole_0-{F}(V6), P_g1_group_1-{F}(V4,V1,V7), P_g1_group_1-{F}(V8,V9,V7), V1 == V9 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #255: mergings( V3 == V2; #252 ), references = 2, size of lhs = 6:
% 19.94/20.11 v1_group_1-{F}(V0), l1_group_1-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_xboole_0-{F}(V2), P_g1_group_1-{F}(V3,V4,V0), V1 == V3 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #258: mergings( V3 == V2, V2 == V5; #253 ), references = 1, size of lhs = 5:
% 19.94/20.11 v1_group_1-{F}(V0), l1_group_1-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_xboole_0-{F}(V2), P_g1_group_1-{F}(V1,V3,V0) | P_u1_group_1-{T}(V0,V3)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #260: exists( #134, #252 ), references = 1, size of lhs = 4:
% 19.94/20.11 v1_group_1-{F}(V0), l1_group_1-{F}(V0), P_k1_xboole_0-{F}(V1), P_g1_group_1-{F}(V2,V3,V0) | P_u1_struct_0-{T}(V0,V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #266: exists( #132, #264 ), references = 1, size of lhs = 7:
% 19.94/20.11 pppp2-{F}(V0), l1_group_1-{F}(V0), l1_struct_0-{F}(V0), P_k4_autgroup-{F}(V0,V1), P_k1_xboole_0-{F}(V2), v1_xboole_0-{F}(V3), P_g1_group_1-{F}(V3,V4,V0) | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #268: exists( #131, #265 ), references = 1, size of lhs = 6:
% 19.94/20.11 pppp2-{F}(V0), l1_group_1-{F}(V0), l1_struct_0-{F}(V0), P_k1_xboole_0-{F}(V1), v1_xboole_0-{F}(V2), P_g1_group_1-{F}(V2,V3,V0) | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #292: exists( #136, #290 ), references = 1, size of lhs = 4:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), pppp1-{F}(V1,V2,V3), m2_relset_1-{F}(V2,V4,V5), P_k2_zfmisc_1-{F}(V4,V5,V3) | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #309: disj( #23, #21+#2 ), references = 4, size of lhs = 1:
% 19.94/20.11 pppp1-{F}(V0,V1,V2) | pppp26-{T}(V1,V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #321: mergings( V0 == V3; #319 ), references = 1, size of lhs = 5:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2), m1_subset_1-{F}(V3,V2), m1_subset_1-{F}(V4,V3) | v1_xboole_0-{T}(V3)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #333: mergings( V2 == V3, V3 == V6; #328 ), references = 7, size of lhs = 5:
% 19.94/20.11 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_xboole_0-{F}(V2), m1_subset_1-{F}(V3,V1), V3 == V2 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #337: mergings( V2 == V3, V3 == V6, V0 == V6; #329 ), references = 1, size of lhs = 6:
% 19.94/20.11 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_xboole_0-{F}(V2), m1_subset_1-{F}(V2,V1), v1_xboole_0-{F}(V3), V2 == V3 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #341: mergings( V2 == V3, V0 == V3, V3 == V4; #330 ), references = 1, size of lhs = 5:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), m1_subset_1-{F}(V0,V1), m1_fraenkel-{F}(V0,V2,V3) | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #398: disj( #123, input ), references = 1, size of lhs = 2:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V1,V1) | v1_xboole_0-{T}(V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #455: disj( #23, #22+#9 ), references = 1, size of lhs = 1:
% 19.94/20.11 r2_hidden-{F}(V0,V1) | pppp26-{T}(V1,V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #456: disj( #23, #22+#129 ), references = 1, size of lhs = 3:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), r2_hidden-{F}(V2,V3) | pppp26-{T}(V3,V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #494: exists( #24, #489 ), references = 1, size of lhs = 3:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), pppp26-{F}(V1,V2) | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #503: exists( #132, #499 ), references = 1, size of lhs = 4:
% 19.94/20.11 pppp2-{F}(V0), P_k4_autgroup-{F}(V0,V1), v1_xboole_0-{F}(V1), P_k1_xboole_0-{F}(V2) | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #509: disj( #23, exists( #24, #489 ) ), references = 1, size of lhs = 3:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), #-{F} V2 | pppp0-{T}(V1,V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #580: disj( #14, input ), references = 1, size of lhs = 3:
% 19.94/20.11 l1_group_1-{F}(V0), v3_group_1-{F}(V0), pppp1-{F}(V0,V1,V2) | v2_group_1-{T}(V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #591: mergings( V2 == V5; #589 ), references = 1, size of lhs = 6:
% 19.94/20.11 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_xboole_0-{F}(V2), P_k1_zfmisc_1-{F}(V3,V1), #-{F} V4, V4 == V2 | pppp26-{T}(V4,V3)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #639: mergings( V3 == V5; #637 ), references = 2, size of lhs = 4:
% 19.94/20.11 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), pppp26-{F}(V1,V2), P_k1_xboole_0-{F}(V3) | pppp3-{T}(V1,V2,V3)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #700: mergings( V3 == V7; #698 ), references = 2, size of lhs = 6:
% 19.94/20.11 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), P_k1_xboole_0-{F}(V3), m1_subset_1-{F}(V4,V2), pppp26-{F}(V4,V5) | pppp3-{T}(V4,V5,V3)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #707: mergings( V0 == V3; #703 ), references = 3, size of lhs = 3:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V1,V2), V2 == V0 | r2_hidden-{T}(V1,V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #710: mergings( V0 == V3, V2 == V3; #704 ), references = 1, size of lhs = 4:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V0 == V1, m1_subset_1-{F}(V2,V0) | r2_hidden-{T}(V2,V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #713: mergings( V0 == V3, V2 == V3; #705 ), references = 1, size of lhs = 3:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V1,V0), pppp26-{F}(V0,V2) | r2_hidden-{T}(V1,V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #737: exists( #49, #735 ), references = 1, size of lhs = 3:
% 19.94/20.11 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_xboole_0-{F}(V2) | pppp8-{T}(V1,V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #773: disj( #29, input ), references = 2, size of lhs = 7:
% 19.94/20.11 v1_group_1-{F}(V0), v3_group_1-{F}(V0), v4_group_1-{F}(V0), l1_group_1-{F}(V0), P_k1_autgroup-{F}(V0,V1), P_u1_struct_0-{F}(V0,V2), pppp1-{F}(V0,V3,V4) | m1_fraenkel-{T}(V1,V2,V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #778: exists( #134, #774 ), references = 2, size of lhs = 7:
% 19.94/20.11 v1_group_1-{F}(V0), v3_group_1-{F}(V0), v4_group_1-{F}(V0), l1_group_1-{F}(V0), P_k1_autgroup-{F}(V0,V1), v1_xboole_0-{F}(V1), pppp1-{F}(V0,V2,V3) | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #832: exists( #136, #830 ), references = 1, size of lhs = 5:
% 19.94/20.11 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), pppp3-{F}(V6,V5,V1) | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #839: exists( #136, #837 ), references = 1, size of lhs = 7:
% 19.94/20.11 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_xboole_0-{F}(V2), pppp26-{F}(V3,V4), pppp3-{F}(V5,V3,V2), m2_relset_1-{F}(V3,V6,V7), P_k2_zfmisc_1-{F}(V6,V7,V1) | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #924: mergings( V0 == V4, V4 == V7; #921 ), references = 1, size of lhs = 5:
% 19.94/20.11 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_xboole_0-{F}(V2), P_k1_zfmisc_1-{F}(V3,V1), P_k2_zfmisc_1-{F}(V4,V5,V3) | pppp19-{T}(V4,V5,V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #947: disj( #30, input ), references = 2, size of lhs = 7:
% 19.94/20.11 v1_group_1-{F}(V0), v3_group_1-{F}(V0), v4_group_1-{F}(V0), l1_group_1-{F}(V0), P_k4_autgroup-{F}(V0,V1), P_u1_struct_0-{F}(V0,V2), pppp1-{F}(V0,V3,V4) | m1_fraenkel-{T}(V1,V2,V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #948: disj( #30, input ), references = 1, size of lhs = 7:
% 19.94/20.11 v1_group_1-{F}(V0), v3_group_1-{F}(V0), v4_group_1-{F}(V0), l1_group_1-{F}(V0), pppp18-{F}(V0), P_k4_autgroup-{F}(V0,V1), P_u1_struct_0-{F}(V0,V2) | m1_fraenkel-{T}(V1,V2,V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #1000: mergings( V2 == V4; #997 ), references = 2, size of lhs = 7:
% 19.94/20.11 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_xboole_0-{F}(V2), r2_hidden-{F}(V3,V4), V3 == V2, m2_relset_1-{F}(V4,V5,V6), P_k2_zfmisc_1-{F}(V5,V6,V1) | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #1003: mergings( V2 == V3, V6 == V3; #998 ), references = 1, size of lhs = 7:
% 19.94/20.11 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
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #1073: disj( #51, input ), references = 1, size of lhs = 2:
% 19.94/20.11 m1_fraenkel-{F}(V0,V1,V2), m1_fraenkel-{F}(V2,V3,V4) | pppp27-{T}(V1,V2,V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #1074: disj( #51, exists( #134, #774 ) ), references = 1, size of lhs = 7:
% 19.94/20.11 v1_group_1-{F}(V0), v3_group_1-{F}(V0), v4_group_1-{F}(V0), l1_group_1-{F}(V0), P_k1_autgroup-{F}(V0,V1), m1_fraenkel-{F}(V2,V3,V1), pppp1-{F}(V0,V4,V5) | pppp27-{T}(V3,V1,V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #1075: disj( #51, input ), references = 1, size of lhs = 3:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), m1_fraenkel-{F}(V1,V2,V3), V3 == V0 | pppp27-{T}(V2,V3,V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #1197: disj( #117, input ), references = 1, size of lhs = 4:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V1,V2), m1_fraenkel-{F}(V2,V3,V4), m1_fraenkel-{F}(V4,V5,V6) | m2_fraenkel-{T}(V1,V3,V4,V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #1199: mergings( V0 == V5; #1195 ), references = 2, size of lhs = 4:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V1,V2), m1_fraenkel-{F}(V2,V3,V4), V4 == V0 | m2_fraenkel-{T}(V1,V3,V4,V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #1202: mergings( V0 == V5, V3 == V5; #1196 ), references = 1, size of lhs = 4:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), pppp26-{F}(V0,V1), m1_subset_1-{F}(V2,V3), m1_fraenkel-{F}(V3,V4,V0) | m2_fraenkel-{T}(V2,V4,V0,V3)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #1240: disj( #23, #22+#25 ), references = 1, size of lhs = 2:
% 19.94/20.11 r2_hidden-{F}(V0,V1), pppp3-{F}(V2,V3,V0) | pppp26-{T}(V1,V3)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #1295: disj( #121, input ), references = 2, size of lhs = 10:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), v1_group_1-{F}(V1), v3_group_1-{F}(V1), v4_group_1-{F}(V1), l1_group_1-{F}(V1), P_u1_struct_0-{F}(V1,V2), P_k4_autgroup-{F}(V1,V3), P_k1_autgroup-{F}(V1,V4), m2_fraenkel-{F}(V5,V2,V2,V3), pppp1-{F}(V1,V6,V7) | m2_fraenkel-{T}(V5,V2,V2,V4)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #1349: mergings( V2 == V5; #1347 ), references = 1, size of lhs = 7:
% 19.94/20.11 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_xboole_0-{F}(V2), pppp0-{F}(V3,V4), V3 == V2, m2_relset_1-{F}(V4,V5,V6), P_k2_zfmisc_1-{F}(V5,V6,V1) | pppp8-{T}(V3,V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #1429: disj( #116, input ), references = 1, size of lhs = 4:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), m1_fraenkel-{F}(V1,V2,V3), m2_fraenkel-{F}(V4,V2,V3,V1), m1_fraenkel-{F}(V3,V5,V6) | m1_subset_1-{T}(V4,V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #1431: mergings( V0 == V5; #1427 ), references = 2, size of lhs = 4:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), m1_fraenkel-{F}(V1,V2,V3), V3 == V0, m2_fraenkel-{F}(V4,V2,V3,V1) | m1_subset_1-{T}(V4,V1)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #1434: mergings( V0 == V5, V3 == V5; #1428 ), references = 1, size of lhs = 4:
% 19.94/20.11 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V0), m1_fraenkel-{F}(V2,V3,V0), m2_fraenkel-{F}(V4,V3,V0,V2) | m1_subset_1-{T}(V4,V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #1455: mergings( V4 == V5, V5 == V6, V6 == V7, V10 == V12, V12 == V14, V11 == V13, V13 == V15; #1447 ), references = 2, size of lhs = 11:
% 19.94/20.11 v1_group_1-{F}(V0), v3_group_1-{F}(V0), v4_group_1-{F}(V0), l1_group_1-{F}(V0), P_k4_autgroup-{F}(V0,V1), P_k1_autgroup-{F}(V0,V2), P_k1_xboole_0-{F}(V3), V2 == V3, m1_subset_1-{F}(V4,V1), pppp3-{F}(V5,V2,V4), pppp1-{F}(V0,V6,V7) | P_u1_struct_0-{T}(V0,V3)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #1467: mergings( V0 == V1, V1 == V5, V5 == V6, V9 == V11, V11 == V13, V13 == V15, V10 == V12, V12 == V14, V14 == V16; #1457 ), references = 1, size of lhs = 13:
% 19.94/20.11 v1_xboole_0-{F}(V0), P_k1_xboole_0-{F}(V0), v1_group_1-{F}(V1), v3_group_1-{F}(V1), v4_group_1-{F}(V1), l1_group_1-{F}(V1), l1_struct_0-{F}(V1), P_k4_autgroup-{F}(V1,V2), P_k1_autgroup-{F}(V1,V3), V3 == V0, m1_subset_1-{F}(V4,V2), pppp3-{F}(V5,V3,V4), pppp1-{F}(V1,V6,V7) | P_u1_struct_0-{T}(V1,V0)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #1483: mergings( V2 == V7, V4 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V3; #1476 ), references = 1, size of lhs = 8:
% 19.94/20.11 pppp2-{F}(V0), l1_group_1-{F}(V0), l1_struct_0-{F}(V0), P_k4_autgroup-{F}(V0,V1), v1_xboole_0-{F}(V2), P_k1_zfmisc_1-{F}(V2,V1), m1_subset_1-{F}(V2,V1), P_k1_xboole_0-{F}(V2) | P_k1_autgroup-{T}(V0,V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #1568: mergings( V3 == V5, V5 == V6; #1563 ), references = 1, size of lhs = 12:
% 19.94/20.11 v3_group_1-{F}(V0), v4_group_1-{F}(V0), v1_group_1-{F}(V0), l1_group_1-{F}(V0), P_k4_autgroup-{F}(V0,V1), pppp26-{F}(V1,V2), P_k1_autgroup-{F}(V0,V2), P_k1_xboole_0-{F}(V3), V2 == V3, pppp1-{F}(V0,V4,V5), P_g1_group_1-{F}(V6,V7,V0), V3 == V6 | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #1573: mergings( V2 == V6, V6 == V7; #1570 ), references = 1, size of lhs = 12:
% 19.94/20.11 v3_group_1-{F}(V0), v4_group_1-{F}(V0), v1_group_1-{F}(V0), l1_group_1-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k4_autgroup-{F}(V0,V2), pppp26-{F}(V2,V3), P_k1_autgroup-{F}(V0,V3), P_k1_xboole_0-{F}(V4), V3 == V4, V4 == V1, pppp1-{F}(V0,V5,V6) | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #1577: mergings( V2 == V5, V5 == V6; #1574 ), references = 1, size of lhs = 10:
% 19.94/20.11 v3_group_1-{F}(V0), v4_group_1-{F}(V0), v1_group_1-{F}(V0), l1_group_1-{F}(V0), P_k4_autgroup-{F}(V0,V1), pppp26-{F}(V1,V2), P_k1_autgroup-{F}(V0,V2), P_k1_xboole_0-{F}(V3), V2 == V3, pppp1-{F}(V0,V4,V5) | P_u1_struct_0-{T}(V0,V3)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #1588: mergings( V2 == V4, V4 == V5; #1585 ), references = 1, size of lhs = 6:
% 19.94/20.11 pppp2-{F}(V0), l1_group_1-{F}(V0), l1_struct_0-{F}(V0), P_k4_autgroup-{F}(V0,V1), v1_xboole_0-{F}(V2), P_k1_xboole_0-{F}(V2) | P_k1_autgroup-{T}(V0,V2)
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #1597: mergings( V2 == V3, V3 == V4; #1594 ), references = 1, size of lhs = 5:
% 19.94/20.11 l1_struct_0-{F}(V0), pppp2-{F}(V0), l1_group_1-{F}(V0), v1_xboole_0-{F}(V1), P_k1_xboole_0-{F}(V1) | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #1600: exists( #138, #1598 ), references = 2, size of lhs = 3:
% 19.94/20.11 l1_struct_0-{F}(V0), pppp2-{F}(V0), l1_group_1-{F}(V0) | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #1609: exists( #132, #1605 ), references = 1, size of lhs = 3:
% 19.94/20.11 l1_struct_0-{F}(V0), pppp2-{F}(V0), P_k4_autgroup-{F}(V0,V1) | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #1612: exists( #131, #1607 ), references = 2, size of lhs = 2:
% 19.94/20.11 l1_struct_0-{F}(V0), pppp2-{F}(V0) | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #1648: exists( #132, #1642 ), references = 1, size of lhs = 2:
% 19.94/20.11 pppp2-{F}(V0), P_k4_autgroup-{F}(V0,V1) | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #1652: exists( #131, #1645 ), references = 1, size of lhs = 1:
% 19.94/20.11 pppp2-{F}(V0) | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 #1656: exists( #0, #1649 ), references = 1, size of lhs = 0:
% 19.94/20.11 FALSE | FALSE
% 19.94/20.11 (used 0 times, uses = {})
% 19.94/20.11
% 19.94/20.11 number of learnt formulas = 71
% 19.94/20.11
% 19.94/20.11
% 19.94/20.11 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.94/20.11
% 19.94/20.11 randbase = 1
%------------------------------------------------------------------------------