TSTP Solution File: CAT033+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : CAT033+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n009.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 05:58:56 EDT 2022
% Result : Theorem 2.35s 2.55s
% Output : Refutation 2.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : CAT033+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.14/0.33 % Computer : n009.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Fri Jul 22 07:22:06 EDT 2022
% 0.14/0.33 % CPUTime :
% 2.35/2.55 GeoParameters:
% 2.35/2.55
% 2.35/2.55 tptp_input = 1
% 2.35/2.55 tptp_output = 0
% 2.35/2.55 nonempty = 1
% 2.35/2.55 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.35/2.55 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 2.35/2.55
% 2.35/2.55
% 2.35/2.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.35/2.55 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.35/2.55
% 2.35/2.55 RuleSystem INPUT:
% 2.35/2.55
% 2.35/2.55 Initial Rules:
% 2.35/2.55 #0: input, references = 4, size of lhs = 0:
% 2.35/2.55 FALSE | EXISTS V0: pppp1-{T}(V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #1: input, references = 4, size of lhs = 3:
% 2.35/2.55 pppp1-{F}(V0), P_u1_cat_1-{F}(V0,V1), P_k1_yoneda_1-{F}(V0,V2) | EXISTS V3: pppp0-{T}(V0,V3,V1,V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #2: input, references = 5, size of lhs = 3:
% 2.35/2.55 pppp1-{F}(V0), P_u1_cat_1-{F}(V0,V1), P_k1_yoneda_1-{F}(V0,V2) | l1_cat_1-{T}(V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #3: input, references = 4, size of lhs = 3:
% 2.35/2.55 pppp1-{F}(V0), P_u1_cat_1-{F}(V0,V1), P_k1_yoneda_1-{F}(V0,V2) | v2_cat_1-{T}(V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #4: input, references = 4, size of lhs = 3:
% 2.35/2.55 pppp0-{F}(V0,V1,V2,V3), P_k20_ens_1-{F}(V0,V1,V4), m2_cat_1-{F}(V4,V0,V3) | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #5: input, references = 5, size of lhs = 2:
% 2.35/2.55 pppp0-{F}(V0,V1,V2,V3), P_k20_ens_1-{F}(V0,V1,V4) | m1_subset_1-{T}(V1,V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #6: input, references = 3, size of lhs = 0:
% 2.35/2.55 FALSE | EXISTS V0: pppp2-{T}(V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #7: input, references = 3, size of lhs = 1:
% 2.35/2.55 pppp2-{F}(V0) | v2_funct_1-{T}(V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #8: input, references = 3, size of lhs = 1:
% 2.35/2.55 pppp2-{F}(V0) | v1_funct_1-{T}(V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #9: input, references = 3, size of lhs = 1:
% 2.35/2.55 pppp2-{F}(V0) | v1_relat_1-{T}(V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #10: input, references = 3, size of lhs = 3:
% 2.35/2.55 v1_relat_1-{F}(V0), v1_xboole_0-{F}(V0), v1_funct_1-{F}(V0) | v2_funct_1-{T}(V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #11: input, references = 3, size of lhs = 0:
% 2.35/2.55 FALSE | EXISTS V0: pppp3-{T}(V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #12: input, references = 3, size of lhs = 1:
% 2.35/2.55 pppp3-{F}(V0) | v1_funct_1-{T}(V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #13: input, references = 3, size of lhs = 1:
% 2.35/2.55 pppp3-{F}(V0) | v1_relat_1-{T}(V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #14: input, references = 4, size of lhs = 0:
% 2.35/2.55 FALSE | EXISTS V0: pppp4-{T}(V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #15: input, references = 3, size of lhs = 1:
% 2.35/2.55 pppp4-{F}(V0) | v1_funct_1-{T}(V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #16: input, references = 4, size of lhs = 1:
% 2.35/2.55 pppp4-{F}(V0) | v1_xboole_0-{T}(V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #17: input, references = 3, size of lhs = 1:
% 2.35/2.55 pppp4-{F}(V0) | v1_relat_1-{T}(V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #18: input, references = 3, size of lhs = 14:
% 2.35/2.55 v1_funct_1-{F}(V0), P_k2_zfmisc_1-{F}(V1,V1,V2), v1_funct_2-{F}(V0,V3,V1), m1_relset_1-{F}(V0,V3,V1), v1_funct_1-{F}(V4), v1_funct_2-{F}(V4,V1,V3), m1_relset_1-{F}(V4,V1,V3), v1_funct_1-{F}(V5), v1_funct_2-{F}(V5,V1,V3), m1_relset_1-{F}(V5,V1,V3), P_g1_cat_1-{F}(V3,V1,V5,V4,V6,V0,V14), v1_funct_1-{F}(V6), m1_relset_1-{F}(V6,V2,V1), P_g1_cat_1-{F}(V8,V9,V10,V11,V12,V13,V14) | v1_xboole_0-{T}(V1), v1_xboole_0-{T}(V3), pppp5-{T}(V3,V1,V5,V4,V6,V0,V8,V9,V10,V11,V12,V13)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #19: input, references = 3, size of lhs = 2:
% 2.35/2.55 pppp5-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9,V10,V11), V5 == V11 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #20: input, references = 3, size of lhs = 2:
% 2.35/2.55 pppp5-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9,V10,V11), V4 == V10 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #21: input, references = 3, size of lhs = 2:
% 2.35/2.55 pppp5-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9,V10,V11), V3 == V9 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #22: input, references = 3, size of lhs = 2:
% 2.35/2.55 pppp5-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9,V10,V11), V2 == V8 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #23: input, references = 3, size of lhs = 2:
% 2.35/2.55 pppp5-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9,V10,V11), V1 == V7 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #24: input, references = 3, size of lhs = 2:
% 2.35/2.55 pppp5-{F}(V0,V1,V2,V3,V4,V5,V6,V7,V8,V9,V10,V11), V0 == V6 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #25: input, references = 3, size of lhs = 2:
% 2.35/2.55 #-{F} V0, #-{F} V1 | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #26: input, references = 3, size of lhs = 1:
% 2.35/2.55 pppp6-{F}(V0,V1,V2) | m1_relset_1-{T}(V2,V0,V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #27: input, references = 3, size of lhs = 13:
% 2.35/2.55 v1_funct_1-{F}(V0), P_k2_zfmisc_1-{F}(V1,V1,V2), v1_funct_2-{F}(V0,V3,V1), m1_relset_1-{F}(V0,V3,V1), v1_funct_1-{F}(V4), v1_funct_2-{F}(V4,V1,V3), m1_relset_1-{F}(V4,V1,V3), v1_funct_1-{F}(V5), v1_funct_2-{F}(V5,V1,V3), m1_relset_1-{F}(V5,V1,V3), P_g1_cat_1-{F}(V3,V1,V5,V4,V6,V0,V7), v1_funct_1-{F}(V6), m1_relset_1-{F}(V6,V2,V1) | v1_xboole_0-{T}(V1), v1_xboole_0-{T}(V3), v1_cat_1-{T}(V7)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #28: input, references = 3, size of lhs = 13:
% 2.35/2.55 v1_funct_1-{F}(V0), P_k2_zfmisc_1-{F}(V1,V1,V2), v1_funct_2-{F}(V0,V3,V1), m1_relset_1-{F}(V0,V3,V1), v1_funct_1-{F}(V4), v1_funct_2-{F}(V4,V1,V3), m1_relset_1-{F}(V4,V1,V3), v1_funct_1-{F}(V5), v1_funct_2-{F}(V5,V1,V3), m1_relset_1-{F}(V5,V1,V3), P_g1_cat_1-{F}(V3,V1,V5,V4,V6,V0,V7), v1_funct_1-{F}(V6), m1_relset_1-{F}(V6,V2,V1) | v1_xboole_0-{T}(V1), v1_xboole_0-{T}(V3), l1_cat_1-{T}(V7)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #29: input, references = 3, size of lhs = 4:
% 2.35/2.55 P_u3_cat_1-{F}(V0,V1), P_u2_cat_1-{F}(V0,V2), P_u1_cat_1-{F}(V0,V3), l1_cat_1-{F}(V0) | v1_funct_1-{T}(V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #30: input, references = 3, size of lhs = 4:
% 2.35/2.55 P_u3_cat_1-{F}(V0,V1), P_u2_cat_1-{F}(V0,V2), P_u1_cat_1-{F}(V0,V3), l1_cat_1-{F}(V0) | v1_funct_2-{T}(V1,V2,V3)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #31: input, references = 3, size of lhs = 4:
% 2.35/2.55 P_u3_cat_1-{F}(V0,V1), P_u2_cat_1-{F}(V0,V2), P_u1_cat_1-{F}(V0,V3), l1_cat_1-{F}(V0) | m2_relset_1-{T}(V1,V2,V3)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #32: input, references = 3, size of lhs = 4:
% 2.35/2.55 P_u4_cat_1-{F}(V0,V1), P_u2_cat_1-{F}(V0,V2), P_u1_cat_1-{F}(V0,V3), l1_cat_1-{F}(V0) | v1_funct_1-{T}(V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #33: input, references = 3, size of lhs = 4:
% 2.35/2.55 P_u4_cat_1-{F}(V0,V1), P_u2_cat_1-{F}(V0,V2), P_u1_cat_1-{F}(V0,V3), l1_cat_1-{F}(V0) | v1_funct_2-{T}(V1,V2,V3)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #34: input, references = 3, size of lhs = 4:
% 2.35/2.55 P_u4_cat_1-{F}(V0,V1), P_u2_cat_1-{F}(V0,V2), P_u1_cat_1-{F}(V0,V3), l1_cat_1-{F}(V0) | m2_relset_1-{T}(V1,V2,V3)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #35: input, references = 3, size of lhs = 4:
% 2.35/2.55 P_u5_cat_1-{F}(V0,V1), P_u2_cat_1-{F}(V0,V2), P_k2_zfmisc_1-{F}(V2,V2,V3), l1_cat_1-{F}(V0) | v1_funct_1-{T}(V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #36: input, references = 3, size of lhs = 4:
% 2.35/2.55 P_u5_cat_1-{F}(V0,V1), P_u2_cat_1-{F}(V0,V2), P_k2_zfmisc_1-{F}(V2,V2,V3), l1_cat_1-{F}(V0) | m2_relset_1-{T}(V1,V3,V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #37: input, references = 3, size of lhs = 4:
% 2.35/2.55 P_u6_cat_1-{F}(V0,V1), P_u1_cat_1-{F}(V0,V2), P_u2_cat_1-{F}(V0,V3), l1_cat_1-{F}(V0) | v1_funct_1-{T}(V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #38: input, references = 3, size of lhs = 4:
% 2.35/2.55 P_u6_cat_1-{F}(V0,V1), P_u1_cat_1-{F}(V0,V2), P_u2_cat_1-{F}(V0,V3), l1_cat_1-{F}(V0) | v1_funct_2-{T}(V1,V2,V3)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #39: input, references = 3, size of lhs = 4:
% 2.35/2.55 P_u6_cat_1-{F}(V0,V1), P_u1_cat_1-{F}(V0,V2), P_u2_cat_1-{F}(V0,V3), l1_cat_1-{F}(V0) | m2_relset_1-{T}(V1,V2,V3)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #40: input, references = 3, size of lhs = 3:
% 2.35/2.55 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)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #41: input, references = 4, size of lhs = 2:
% 2.35/2.55 r2_hidden-{F}(V0,V1), r2_hidden-{F}(V1,V0) | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #42: input, references = 3, size of lhs = 10:
% 2.35/2.55 P_u1_cat_1-{F}(V0,V1), P_u2_cat_1-{F}(V0,V2), P_u3_cat_1-{F}(V0,V3), P_u4_cat_1-{F}(V0,V4), P_u5_cat_1-{F}(V0,V5), P_u6_cat_1-{F}(V0,V6), P_g1_cat_1-{F}(V1,V2,V3,V4,V5,V6,V7), l1_cat_1-{F}(V0), v1_cat_1-{F}(V0), V0 == V7 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #43: input, references = 3, size of lhs = 2:
% 2.35/2.55 #-{F} V0, #-{F} V1 | EXISTS V2: pppp7-{T}(V0,V1,V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #44: input, references = 3, size of lhs = 1:
% 2.35/2.55 pppp7-{F}(V0,V1,V2) | m2_relset_1-{T}(V2,V0,V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #45: input, references = 3, size of lhs = 1:
% 2.35/2.55 m2_relset_1-{F}(V2,V0,V1) | m1_relset_1-{T}(V2,V0,V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #46: input, references = 3, size of lhs = 1:
% 2.35/2.55 m1_relset_1-{F}(V2,V0,V1) | m2_relset_1-{T}(V2,V0,V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #47: input, references = 4, size of lhs = 3:
% 2.35/2.55 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)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #48: input, references = 3, size of lhs = 3:
% 2.35/2.55 P_u2_cat_1-{F}(V0,V1), l1_cat_1-{F}(V0), v1_xboole_0-{F}(V1) | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #49: input, references = 3, size of lhs = 1:
% 2.35/2.55 P_k1_xboole_0-{F}(V0) | v1_xboole_0-{T}(V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #50: input, references = 3, size of lhs = 3:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), P_k2_ens_1-{F}(V1,V2), v1_xboole_0-{F}(V2) | v1_xboole_0-{T}(V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #51: input, references = 3, size of lhs = 2:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2) | m1_subset_1-{T}(V1,V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #52: input, references = 4, size of lhs = 4:
% 2.35/2.55 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)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #53: input, references = 5, size of lhs = 5:
% 2.35/2.55 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
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #54: input, references = 4, size of lhs = 4:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), v1_xboole_0-{F}(V2), V2 == V1 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #55: input, references = 4, size of lhs = 2:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), #-{F} V1 | r1_tarski-{T}(V1,V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #56: input, references = 3, size of lhs = 1:
% 2.35/2.55 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #57: input, references = 3, size of lhs = 1:
% 2.35/2.55 pppp8-{F}(V0) | l1_cat_1-{T}(V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #58: input, references = 5, size of lhs = 2:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), #-{F} V1 | EXISTS V2: pppp9-{T}(V1,V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #59: input, references = 5, size of lhs = 1:
% 2.35/2.55 pppp9-{F}(V0,V1) | m1_subset_1-{T}(V1,V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #60: input, references = 3, size of lhs = 5:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), v2_cat_1-{F}(V1), l1_cat_1-{F}(V1), v2_cat_1-{F}(V2), l1_cat_1-{F}(V2) | EXISTS V3: pppp10-{T}(V2,V1,V3)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #61: input, references = 3, size of lhs = 1:
% 2.35/2.55 pppp10-{F}(V0,V1,V2) | m2_cat_1-{T}(V2,V0,V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #62: input, references = 4, size of lhs = 2:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), P_k12_ens_1-{F}(V1,V2) | v1_xboole_0-{T}(V1), l1_cat_1-{T}(V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #63: input, references = 3, size of lhs = 4:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), P_k1_yoneda_1-{F}(V1,V2), v2_cat_1-{F}(V1), l1_cat_1-{F}(V1) | v2_cat_1-{T}(V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #64: input, references = 3, size of lhs = 4:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), P_k1_yoneda_1-{F}(V1,V2), v2_cat_1-{F}(V1), l1_cat_1-{F}(V1) | l1_cat_1-{T}(V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #65: input, references = 3, size of lhs = 9:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), P_u1_cat_1-{F}(V1,V2), P_u2_cat_1-{F}(V1,V3), P_k17_ens_1-{F}(V1,V4), P_k2_ens_1-{F}(V4,V5), v2_cat_1-{F}(V1), l1_cat_1-{F}(V1), P_k20_ens_1-{F}(V1,V6,V7), m1_subset_1-{F}(V6,V2) | v1_funct_1-{T}(V7)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #66: input, references = 3, size of lhs = 9:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), P_u1_cat_1-{F}(V1,V2), P_u2_cat_1-{F}(V1,V3), P_k17_ens_1-{F}(V1,V4), P_k2_ens_1-{F}(V4,V5), v2_cat_1-{F}(V1), l1_cat_1-{F}(V1), P_k20_ens_1-{F}(V1,V6,V7), m1_subset_1-{F}(V6,V2) | v1_funct_2-{T}(V7,V3,V5)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #67: input, references = 3, size of lhs = 9:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), P_u1_cat_1-{F}(V1,V2), P_u2_cat_1-{F}(V1,V3), P_k17_ens_1-{F}(V1,V4), P_k2_ens_1-{F}(V4,V5), v2_cat_1-{F}(V1), l1_cat_1-{F}(V1), P_k20_ens_1-{F}(V1,V6,V7), m1_subset_1-{F}(V6,V2) | m2_relset_1-{T}(V7,V3,V5)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #68: input, references = 3, size of lhs = 8:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), P_u2_cat_1-{F}(V1,V2), v2_cat_1-{F}(V1), l1_cat_1-{F}(V1), P_u2_cat_1-{F}(V3,V4), v2_cat_1-{F}(V3), l1_cat_1-{F}(V3), m2_cat_1-{F}(V5,V3,V1) | v1_funct_1-{T}(V5)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #69: input, references = 3, size of lhs = 8:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), P_u2_cat_1-{F}(V1,V2), v2_cat_1-{F}(V1), l1_cat_1-{F}(V1), P_u2_cat_1-{F}(V3,V4), v2_cat_1-{F}(V3), l1_cat_1-{F}(V3), m2_cat_1-{F}(V5,V3,V1) | v1_funct_2-{T}(V5,V4,V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #70: input, references = 3, size of lhs = 8:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), P_u2_cat_1-{F}(V1,V2), v2_cat_1-{F}(V1), l1_cat_1-{F}(V1), P_u2_cat_1-{F}(V3,V4), v2_cat_1-{F}(V3), l1_cat_1-{F}(V3), m2_cat_1-{F}(V5,V3,V1) | m2_relset_1-{T}(V5,V4,V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #71: input, references = 4, size of lhs = 4:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), P_u1_cat_1-{F}(V1,V2), l1_cat_1-{F}(V1), v1_xboole_0-{F}(V2) | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #72: input, references = 3, size of lhs = 2:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1) | v1_funct_1-{T}(V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #73: input, references = 4, size of lhs = 2:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), P_k12_ens_1-{F}(V1,V2) | v1_xboole_0-{T}(V1), v1_cat_1-{T}(V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #74: input, references = 4, size of lhs = 2:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), P_k12_ens_1-{F}(V1,V2) | v1_xboole_0-{T}(V1), v2_cat_1-{T}(V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #75: input, references = 4, size of lhs = 5:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), P_k17_ens_1-{F}(V1,V2), v2_cat_1-{F}(V1), l1_cat_1-{F}(V1), v1_xboole_0-{F}(V2) | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #76: input, references = 4, size of lhs = 1:
% 2.35/2.55 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #77: input, references = 5, size of lhs = 1:
% 2.35/2.55 pppp11-{F}(V0) | v1_xboole_0-{T}(V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #78: input, references = 3, size of lhs = 1:
% 2.35/2.55 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #79: input, references = 3, size of lhs = 2:
% 2.35/2.55 pppp12-{F}(V0), v1_xboole_0-{F}(V0) | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #80: input, references = 4, size of lhs = 2:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V2,V1) | v1_xboole_0-{T}(V1), r2_hidden-{T}(V2,V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #81: input, references = 3, size of lhs = 3:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V2,V3), m1_subset_1-{F}(V1,V3) | r1_tarski-{T}(V1,V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #82: input, references = 3, size of lhs = 3:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V2,V3), r1_tarski-{F}(V1,V2) | m1_subset_1-{T}(V1,V3)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #83: input, references = 5, size of lhs = 3:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V1 == V0 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #84: input, references = 3, size of lhs = 3:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), r2_hidden-{F}(V2,V1) | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #85: input, references = 4, size of lhs = 7:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), P_k1_yoneda_1-{F}(V1,V2), P_k17_ens_1-{F}(V1,V3), P_k12_ens_1-{F}(V3,V4), v2_cat_1-{F}(V1), l1_cat_1-{F}(V1), V2 == V4 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #86: input, references = 4, size of lhs = 9:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), P_k12_ens_1-{F}(V1,V2), P_k17_ens_1-{F}(V3,V4), P_u1_cat_1-{F}(V3,V5), v2_cat_1-{F}(V3), l1_cat_1-{F}(V3), r1_tarski-{F}(V4,V1), P_k20_ens_1-{F}(V3,V6,V7), m1_subset_1-{F}(V6,V5) | v1_xboole_0-{T}(V1), m2_cat_1-{T}(V7,V3,V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #87: input, references = 4, size of lhs = 1:
% 2.35/2.55 #-{F} V0 | EXISTS V1: P_u1_cat_1-{T}(V0,V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #88: input, references = 4, size of lhs = 2:
% 2.35/2.55 #-{F} V0, #-{F} V1 | EXISTS V2: P_k20_ens_1-{T}(V0,V1,V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #89: input, references = 5, size of lhs = 1:
% 2.35/2.55 #-{F} V0 | EXISTS V1: P_k1_yoneda_1-{T}(V0,V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #90: input, references = 3, size of lhs = 2:
% 2.35/2.55 #-{F} V0, #-{F} V1 | EXISTS V2: P_k2_zfmisc_1-{T}(V0,V1,V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #91: input, references = 3, size of lhs = 6:
% 2.35/2.55 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3, #-{F} V4, #-{F} V5 | EXISTS V6: P_g1_cat_1-{T}(V0,V1,V2,V3,V4,V5,V6)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #92: input, references = 3, size of lhs = 1:
% 2.35/2.55 #-{F} V0 | EXISTS V1: P_u3_cat_1-{T}(V0,V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #93: input, references = 3, size of lhs = 1:
% 2.35/2.55 #-{F} V0 | EXISTS V1: P_u2_cat_1-{T}(V0,V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #94: input, references = 3, size of lhs = 1:
% 2.35/2.55 #-{F} V0 | EXISTS V1: P_u4_cat_1-{T}(V0,V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #95: input, references = 3, size of lhs = 1:
% 2.35/2.55 #-{F} V0 | EXISTS V1: P_u5_cat_1-{T}(V0,V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #96: input, references = 3, size of lhs = 1:
% 2.35/2.55 #-{F} V0 | EXISTS V1: P_u6_cat_1-{T}(V0,V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #97: input, references = 4, size of lhs = 1:
% 2.35/2.55 #-{F} V0 | EXISTS V1: P_k1_zfmisc_1-{T}(V0,V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #98: input, references = 4, size of lhs = 0:
% 2.35/2.55 FALSE | EXISTS V0: P_k1_xboole_0-{T}(V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #99: input, references = 3, size of lhs = 1:
% 2.35/2.55 #-{F} V0 | EXISTS V1: P_k2_ens_1-{T}(V0,V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #100: input, references = 4, size of lhs = 1:
% 2.35/2.55 #-{F} V0 | EXISTS V1: P_k12_ens_1-{T}(V0,V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #101: input, references = 4, size of lhs = 1:
% 2.35/2.55 #-{F} V0 | EXISTS V1: P_k17_ens_1-{T}(V0,V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 number of initial rules = 102
% 2.35/2.55
% 2.35/2.55 Simplifiers:
% 2.35/2.55 #102: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_u1_cat_1-{F}(V0,V1), P_u1_cat_1-{F}(V0,V3), V1 == V3 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #103: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_k20_ens_1-{F}(V0,V1,V2), P_k20_ens_1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #104: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_k1_yoneda_1-{F}(V0,V1), P_k1_yoneda_1-{F}(V0,V3), V1 == V3 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #105: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_k2_zfmisc_1-{F}(V0,V1,V2), P_k2_zfmisc_1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #106: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_g1_cat_1-{F}(V0,V1,V2,V3,V4,V5,V6), P_g1_cat_1-{F}(V0,V1,V2,V3,V4,V5,V13), V6 == V13 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #107: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_u3_cat_1-{F}(V0,V1), P_u3_cat_1-{F}(V0,V3), V1 == V3 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #108: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_u2_cat_1-{F}(V0,V1), P_u2_cat_1-{F}(V0,V3), V1 == V3 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #109: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_u4_cat_1-{F}(V0,V1), P_u4_cat_1-{F}(V0,V3), V1 == V3 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #110: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_u5_cat_1-{F}(V0,V1), P_u5_cat_1-{F}(V0,V3), V1 == V3 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #111: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_u6_cat_1-{F}(V0,V1), P_u6_cat_1-{F}(V0,V3), V1 == V3 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #112: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_k1_zfmisc_1-{F}(V0,V1), P_k1_zfmisc_1-{F}(V0,V3), V1 == V3 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #113: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), P_k1_xboole_0-{F}(V1), V0 == V1 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #114: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_k2_ens_1-{F}(V0,V1), P_k2_ens_1-{F}(V0,V3), V1 == V3 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #115: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_k12_ens_1-{F}(V0,V1), P_k12_ens_1-{F}(V0,V3), V1 == V3 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #116: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_k17_ens_1-{F}(V0,V1), P_k17_ens_1-{F}(V0,V3), V1 == V3 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #117: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #118: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #119: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V5,V6,V7), V2 == V6 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #120: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #121: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #122: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #123: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #124: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #125: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #126: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #127: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #128: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #129: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 pppp10-{F}(V0,V1,V2), pppp10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #130: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #131: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 number of simplifiers = 30
% 2.35/2.55
% 2.35/2.55 Learnt:
% 2.35/2.55 #135: mergings( V2 == V4; #133 ), references = 1, size of lhs = 4:
% 2.35/2.55 pppp1-{F}(V0), P_k1_xboole_0-{F}(V1), P_u1_cat_1-{F}(V0,V2), v1_xboole_0-{F}(V2) | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #142: mergings( V0 == V2; #139 ), references = 1, size of lhs = 1:
% 2.35/2.55 P_k1_xboole_0-{F}(V0) | pppp11-{T}(V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #144: mergings( V0 == V2; #140 ), references = 1, size of lhs = 2:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1) | pppp11-{T}(V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #153: mergings( V0 == V3; #150 ), references = 4, size of lhs = 3:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V1,V2), V2 == V0 | r2_hidden-{T}(V1,V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #156: mergings( V0 == V3, V2 == V3; #151 ), references = 1, size of lhs = 4:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V0 == V1, m1_subset_1-{F}(V2,V0) | r2_hidden-{T}(V2,V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #162: exists( #100, #85 ), references = 2, size of lhs = 5:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), v2_cat_1-{F}(V1), l1_cat_1-{F}(V1), P_k1_yoneda_1-{F}(V1,V2), P_k17_ens_1-{F}(V1,V3) | P_k12_ens_1-{T}(V3,V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #178: mergings( V2 == V3, V3 == V4; #175 ), references = 1, size of lhs = 8:
% 2.35/2.55 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, r2_hidden-{F}(V4,V5), m2_relset_1-{F}(V5,V6,V7), P_k2_zfmisc_1-{F}(V6,V7,V3) | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #198: mergings( V0 == V3; #194 ), references = 1, size of lhs = 3:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), P_k12_ens_1-{F}(V1,V2), V1 == V0 | l1_cat_1-{T}(V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #201: mergings( V0 == V3, V1 == V3; #195 ), references = 1, size of lhs = 4:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V0 == V1, P_k12_ens_1-{F}(V0,V2) | l1_cat_1-{T}(V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #204: mergings( V0 == V3, V1 == V3; #196 ), references = 1, size of lhs = 3:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V0), P_k12_ens_1-{F}(V0,V2) | l1_cat_1-{T}(V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #219: mergings( V0 == V3; #215 ), references = 1, size of lhs = 3:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), P_k12_ens_1-{F}(V1,V2), V1 == V0 | v2_cat_1-{T}(V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #222: mergings( V0 == V3, V1 == V3; #216 ), references = 1, size of lhs = 4:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V0 == V1, P_k12_ens_1-{F}(V0,V2) | v2_cat_1-{T}(V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #225: mergings( V0 == V3, V1 == V3; #217 ), references = 1, size of lhs = 3:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V0), P_k12_ens_1-{F}(V0,V2) | v2_cat_1-{T}(V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #245: mergings( V0 == V3; #241 ), references = 1, size of lhs = 5:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), v2_cat_1-{F}(V1), l1_cat_1-{F}(V1), P_k17_ens_1-{F}(V1,V2), P_k12_ens_1-{F}(V2,V3) | v1_cat_1-{T}(V3)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #247: mergings( V0 == V3; #242 ), references = 1, size of lhs = 3:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), P_k12_ens_1-{F}(V1,V2), V1 == V0 | v1_cat_1-{T}(V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #250: mergings( V0 == V3, V1 == V3; #243 ), references = 1, size of lhs = 4:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V0 == V1, P_k12_ens_1-{F}(V0,V2) | v1_cat_1-{T}(V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #257: mergings( V0 == V8; #253 ), references = 2, size of lhs = 10:
% 2.35/2.55 v2_cat_1-{F}(V0), l1_cat_1-{F}(V0), P_k17_ens_1-{F}(V0,V1), P_u1_cat_1-{F}(V0,V2), r1_tarski-{F}(V1,V3), P_k12_ens_1-{F}(V3,V4), m1_subset_1-{F}(V5,V2), P_k20_ens_1-{F}(V0,V5,V6), P_k1_xboole_0-{F}(V7), V3 == V7 | m2_cat_1-{T}(V6,V0,V4)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #259: mergings( V0 == V8; #254 ), references = 1, size of lhs = 12:
% 2.35/2.55 v2_cat_1-{F}(V0), l1_cat_1-{F}(V0), P_k17_ens_1-{F}(V0,V1), P_u1_cat_1-{F}(V0,V2), r1_tarski-{F}(V1,V3), P_k12_ens_1-{F}(V3,V4), m1_subset_1-{F}(V5,V2), P_k20_ens_1-{F}(V0,V5,V6), P_k1_xboole_0-{F}(V7), v2_cat_1-{F}(V8), P_k17_ens_1-{F}(V8,V3), l1_cat_1-{F}(V8) | m2_cat_1-{T}(V6,V0,V4)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #261: mergings( V0 == V8; #255 ), references = 1, size of lhs = 11:
% 2.35/2.55 v2_cat_1-{F}(V0), l1_cat_1-{F}(V0), P_k17_ens_1-{F}(V0,V1), P_u1_cat_1-{F}(V0,V2), r1_tarski-{F}(V1,V3), P_k12_ens_1-{F}(V3,V4), m1_subset_1-{F}(V5,V2), P_k20_ens_1-{F}(V0,V5,V6), P_k1_xboole_0-{F}(V7), v1_xboole_0-{F}(V8), V3 == V8 | m2_cat_1-{T}(V6,V0,V4)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #296: mergings( V0 == V3, V3 == V4; #293 ), references = 1, size of lhs = 5:
% 2.35/2.55 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
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #302: mergings( V0 == V3, V3 == V4, V4 == V5; #298 ), references = 1, size of lhs = 3:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2) | pppp9-{T}(V2,V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #339: mergings( V8 == V4, V6 == V9; #336 ), references = 1, size of lhs = 9:
% 2.35/2.55 v2_cat_1-{F}(V0), l1_cat_1-{F}(V0), P_k17_ens_1-{F}(V0,V1), P_u1_cat_1-{F}(V0,V2), r1_tarski-{F}(V1,V3), P_k12_ens_1-{F}(V3,V4), P_k1_xboole_0-{F}(V5), V3 == V5, pppp0-{F}(V0,V6,V2,V4) | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #340: exists( #88, #333 ), references = 1, size of lhs = 4:
% 2.35/2.55 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2), V1 == V0, pppp0-{F}(V3,V2,V1,V4) | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #342: exists( #1, #336 ), references = 2, size of lhs = 10:
% 2.35/2.55 pppp1-{F}(V0), v2_cat_1-{F}(V0), l1_cat_1-{F}(V0), P_k1_yoneda_1-{F}(V0,V1), P_k17_ens_1-{F}(V0,V2), P_u1_cat_1-{F}(V0,V3), r1_tarski-{F}(V2,V4), P_k12_ens_1-{F}(V4,V1), P_k1_xboole_0-{F}(V5), V4 == V5 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #349: mergings( V2 == V3, V3 == V6; #346 ), references = 1, size of lhs = 6:
% 2.35/2.55 pppp1-{F}(V0), v2_cat_1-{F}(V0), l1_cat_1-{F}(V0), P_k1_yoneda_1-{F}(V0,V1), P_u1_cat_1-{F}(V0,V2), P_k1_xboole_0-{F}(V3) | P_k17_ens_1-{T}(V0,V3)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #363: mergings( V4 == V5, V5 == V6, V2 == V3, V3 == V7, V7 == V8; #356 ), references = 1, size of lhs = 4:
% 2.35/2.55 pppp1-{F}(V0), P_u1_cat_1-{F}(V0,V1), v1_xboole_0-{F}(V2), P_k1_xboole_0-{F}(V2) | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #368: mergings( V2 == V3, V3 == V4, V4 == V5; #364 ), references = 2, size of lhs = 3:
% 2.35/2.55 pppp1-{F}(V0), v1_xboole_0-{F}(V1), P_k1_xboole_0-{F}(V1) | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #370: exists( #98, #83 ), references = 1, size of lhs = 1:
% 2.35/2.55 v1_xboole_0-{F}(V0) | P_k1_xboole_0-{T}(V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #374: exists( #14, #372 ), references = 1, size of lhs = 1:
% 2.35/2.55 pppp1-{F}(V0) | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #376: exists( #0, #373 ), references = 1, size of lhs = 0:
% 2.35/2.55 FALSE | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 number of learnt formulas = 30
% 2.35/2.55
% 2.35/2.55
% 2.35/2.55 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.35/2.55
% 2.35/2.55 randbase = 1
%------------------------------------------------------------------------------