TSTP Solution File: ALG223+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ALG223+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n022.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 05:57:25 EDT 2022
% Result : Theorem 216.43s 216.70s
% Output : Refutation 216.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG223+1 : TPTP v8.1.0. Released v3.4.0.
% 0.14/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Jul 22 10:36:06 EDT 2022
% 0.14/0.35 % CPUTime :
% 216.43/216.70 GeoParameters:
% 216.43/216.70
% 216.43/216.70 tptp_input = 1
% 216.43/216.70 tptp_output = 0
% 216.43/216.70 nonempty = 1
% 216.43/216.70 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 216.43/216.70 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 216.43/216.70
% 216.43/216.70
% 216.43/216.70 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 216.43/216.70 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 216.43/216.70
% 216.43/216.70 RuleSystem INPUT:
% 216.43/216.70
% 216.43/216.70 Initial Rules:
% 216.43/216.70 #0: input, references = 4, size of lhs = 0:
% 216.43/216.70 FALSE | EXISTS V0: pppp5-{T}(V0)
% 216.43/216.70 (used 0 times, uses = {})
% 216.43/216.70
% 216.43/216.70 #1: input, references = 4, size of lhs = 1:
% 216.43/216.70 pppp5-{F}(V0) | EXISTS V1: pppp4-{T}(V1,V0)
% 216.43/216.70 (used 0 times, uses = {})
% 216.43/216.70
% 216.43/216.70 #2: input, references = 5, size of lhs = 3:
% 216.43/216.70 pppp4-{F}(V0,V1), P_k1_closure2-{F}(V1,V0,V2), P_k1_zfmisc_1-{F}(V2,V3) | EXISTS V4: pppp3-{T}(V0,V1,V4,V3)
% 216.43/216.70 (used 0 times, uses = {})
% 216.43/216.70
% 216.43/216.70 #3: input, references = 4, size of lhs = 3:
% 216.43/216.70 pppp4-{F}(V0,V1), P_k1_closure2-{F}(V1,V0,V2), P_k1_zfmisc_1-{F}(V2,V3) | m1_pboole-{T}(V0,V1)
% 216.43/216.70 (used 0 times, uses = {})
% 216.43/216.70
% 216.43/216.70 #4: input, references = 5, size of lhs = 1:
% 216.43/216.70 pppp3-{F}(V0,V1,V2,V3) | EXISTS V4: pppp2-{T}(V0,V1,V2,V4,V3)
% 216.43/216.70 (used 0 times, uses = {})
% 216.43/216.70
% 216.43/216.70 #5: input, references = 5, size of lhs = 1:
% 216.43/216.70 pppp3-{F}(V0,V1,V2,V3) | m1_subset_1-{T}(V2,V3)
% 216.43/216.70 (used 0 times, uses = {})
% 216.43/216.70
% 216.43/216.70 #6: input, references = 6, size of lhs = 1:
% 216.43/216.70 pppp2-{F}(V0,V1,V2,V3,V4) | EXISTS V5: pppp1-{T}(V0,V1,V2,V3,V5,V4)
% 216.43/216.70 (used 0 times, uses = {})
% 216.43/216.70
% 216.43/216.70 #7: input, references = 6, size of lhs = 1:
% 216.43/216.70 pppp2-{F}(V0,V1,V2,V3,V4) | r1_closure3-{T}(V1,V0,V3,V2)
% 216.43/216.70 (used 0 times, uses = {})
% 216.43/216.70
% 216.43/216.70 #8: input, references = 5, size of lhs = 1:
% 216.43/216.70 pppp2-{F}(V0,V1,V2,V3,V4) | m1_subset_1-{T}(V3,V4)
% 216.43/216.70 (used 0 times, uses = {})
% 216.43/216.70
% 216.43/216.70 #9: input, references = 9, size of lhs = 2:
% 216.43/216.70 pppp1-{F}(V0,V1,V2,V3,V4,V5), r1_closure3-{F}(V1,V0,V4,V2) | FALSE
% 216.43/216.70 (used 0 times, uses = {})
% 216.43/216.70
% 216.43/216.70 #10: input, references = 7, size of lhs = 1:
% 216.43/216.70 pppp1-{F}(V0,V1,V2,V3,V4,V5) | r1_closure3-{T}(V1,V0,V4,V3)
% 216.43/216.70 (used 0 times, uses = {})
% 216.43/216.70
% 216.43/216.70 #11: input, references = 5, size of lhs = 1:
% 216.43/216.70 pppp1-{F}(V0,V1,V2,V3,V4,V5) | m1_subset_1-{T}(V4,V5)
% 216.43/216.70 (used 0 times, uses = {})
% 216.43/216.70
% 216.43/216.70 #12: input, references = 3, size of lhs = 2:
% 216.43/216.70 r2_hidden-{F}(V0,V1), r2_hidden-{F}(V1,V0) | FALSE
% 216.43/216.70 (used 0 times, uses = {})
% 216.43/216.70
% 216.43/216.70 #13: input, references = 3, size of lhs = 1:
% 216.43/216.70 v1_xboole_0-{F}(V0) | v1_fraenkel-{T}(V0)
% 216.43/216.70 (used 0 times, uses = {})
% 216.43/216.70
% 216.43/216.70 #14: input, references = 3, size of lhs = 1:
% 216.43/216.70 v1_xboole_0-{F}(V0) | v1_finset_1-{T}(V0)
% 216.43/216.70 (used 0 times, uses = {})
% 216.43/216.70
% 216.43/216.70 #15: input, references = 3, size of lhs = 1:
% 216.43/216.70 v1_xboole_0-{F}(V0) | v1_funct_1-{T}(V0)
% 216.43/216.70 (used 0 times, uses = {})
% 216.43/216.70
% 216.43/216.70 #16: input, references = 3, size of lhs = 3:
% 216.43/216.70 P_k1_zfmisc_1-{F}(V0,V1), v1_finset_1-{F}(V0), m1_subset_1-{F}(V2,V1) | v1_finset_1-{T}(V2)
% 216.43/216.70 (used 0 times, uses = {})
% 216.43/216.70
% 216.43/216.70 #17: input, references = 3, size of lhs = 3:
% 216.43/216.70 v1_relat_1-{F}(V0), v1_xboole_0-{F}(V0), v1_funct_1-{F}(V0) | v2_funct_1-{T}(V0)
% 216.43/216.70 (used 0 times, uses = {})
% 216.43/216.70
% 216.43/216.70 #18: input, references = 7, size of lhs = 6:
% 216.43/216.70 P_k1_closure2-{F}(V0,V1,V2), P_k1_zfmisc_1-{F}(V2,V3), m1_pboole-{F}(V1,V0), m1_subset_1-{F}(V4,V3), m1_subset_1-{F}(V5,V3), r1_closure3-{F}(V0,V1,V4,V5) | pppp0-{T}(V4,V5)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #19: input, references = 6, size of lhs = 6:
% 216.53/216.70 P_k1_closure2-{F}(V0,V1,V2), P_k1_zfmisc_1-{F}(V2,V3), m1_pboole-{F}(V1,V0), m1_subset_1-{F}(V4,V3), m1_subset_1-{F}(V5,V3), pppp0-{F}(V4,V5) | r1_closure3-{T}(V0,V1,V4,V5)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #20: input, references = 13, size of lhs = 2:
% 216.53/216.70 pppp0-{F}(V0,V1), r2_hidden-{F}(V2,V1) | EXISTS V3: pppp6-{T}(V0,V2,V3)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #21: input, references = 21, size of lhs = 2:
% 216.53/216.70 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp25-{T}(V0,V1)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #22: input, references = 12, size of lhs = 1:
% 216.53/216.70 pppp25-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V0,V1,V2)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #23: input, references = 13, size of lhs = 3:
% 216.53/216.70 pppp7-{F}(V0,V1,V2), r2_hidden-{F}(V3,V0), r1_tarski-{F}(V2,V3) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #24: input, references = 12, size of lhs = 1:
% 216.53/216.70 pppp7-{F}(V0,V1,V2) | r2_hidden-{T}(V2,V1)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #25: input, references = 15, size of lhs = 1:
% 216.53/216.70 pppp6-{F}(V0,V1,V2) | r1_tarski-{T}(V1,V2)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #26: input, references = 13, size of lhs = 1:
% 216.53/216.70 pppp6-{F}(V0,V1,V2) | r2_hidden-{T}(V2,V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #27: input, references = 3, size of lhs = 1:
% 216.53/216.70 m1_pboole-{F}(V0,V1) | v1_relat_1-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #28: input, references = 3, size of lhs = 1:
% 216.53/216.70 m1_pboole-{F}(V0,V1) | v1_funct_1-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #29: input, references = 3, size of lhs = 1:
% 216.53/216.70 #-{F} V0 | EXISTS V1: pppp8-{T}(V0,V1)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #30: input, references = 3, size of lhs = 1:
% 216.53/216.70 pppp8-{F}(V0,V1) | m1_pboole-{T}(V1,V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #31: input, references = 6, size of lhs = 1:
% 216.53/216.70 #-{F} V0 | EXISTS V1: pppp9-{T}(V0,V1)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #32: input, references = 9, size of lhs = 1:
% 216.53/216.70 pppp9-{F}(V0,V1) | m1_subset_1-{T}(V1,V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #33: input, references = 3, size of lhs = 2:
% 216.53/216.70 P_k1_zfmisc_1-{F}(V0,V1), v1_xboole_0-{F}(V1) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #34: input, references = 3, size of lhs = 1:
% 216.53/216.70 P_k1_xboole_0-{F}(V0) | v1_xboole_0-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #35: input, references = 3, size of lhs = 4:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), P_k1_closure2-{F}(V1,V2,V3), m1_pboole-{F}(V2,V1), v1_xboole_0-{F}(V3) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #36: input, references = 3, size of lhs = 3:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), P_k1_closure2-{F}(V1,V2,V3), m1_pboole-{F}(V2,V1) | v1_fraenkel-{T}(V3)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #37: input, references = 3, size of lhs = 3:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), P_k1_closure2-{F}(V1,V2,V3), m1_pboole-{F}(V2,V1) | v1_pralg_2-{T}(V3)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #38: input, references = 4, size of lhs = 1:
% 216.53/216.70 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #39: input, references = 5, size of lhs = 1:
% 216.53/216.70 pppp11-{F}(V0) | pppp10-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #40: input, references = 3, size of lhs = 1:
% 216.53/216.70 pppp10-{F}(V0) | v1_fraenkel-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #41: input, references = 3, size of lhs = 1:
% 216.53/216.70 pppp10-{F}(V0) | v1_finset_1-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #42: input, references = 3, size of lhs = 1:
% 216.53/216.70 pppp10-{F}(V0) | v2_funct_1-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #43: input, references = 3, size of lhs = 1:
% 216.53/216.70 pppp10-{F}(V0) | v1_funct_1-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #44: input, references = 3, size of lhs = 1:
% 216.53/216.70 pppp10-{F}(V0) | v1_relat_1-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #45: input, references = 5, size of lhs = 1:
% 216.53/216.70 pppp10-{F}(V0) | v1_xboole_0-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #46: input, references = 3, size of lhs = 1:
% 216.53/216.70 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #47: input, references = 3, size of lhs = 1:
% 216.53/216.70 pppp12-{F}(V0) | v1_finset_1-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #48: input, references = 3, size of lhs = 2:
% 216.53/216.70 pppp12-{F}(V0), v1_xboole_0-{F}(V0) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #49: input, references = 3, size of lhs = 1:
% 216.53/216.70 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #50: input, references = 3, size of lhs = 1:
% 216.53/216.70 pppp13-{F}(V0) | v1_funct_1-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #51: input, references = 3, size of lhs = 1:
% 216.53/216.70 pppp13-{F}(V0) | v1_relat_1-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #52: input, references = 4, size of lhs = 2:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2) | v1_xboole_0-{T}(V1), pppp26-{T}(V2)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #53: input, references = 3, size of lhs = 1:
% 216.53/216.70 pppp26-{F}(V0) | EXISTS V1: pppp14-{T}(V1,V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #54: input, references = 3, size of lhs = 2:
% 216.53/216.70 pppp14-{F}(V0,V1), v1_xboole_0-{F}(V0) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #55: input, references = 3, size of lhs = 1:
% 216.53/216.70 pppp14-{F}(V0,V1) | m1_subset_1-{T}(V0,V1)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #56: input, references = 4, size of lhs = 1:
% 216.53/216.70 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #57: input, references = 5, size of lhs = 1:
% 216.53/216.70 pppp15-{F}(V0) | v1_xboole_0-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #58: input, references = 3, size of lhs = 4:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), P_k1_closure2-{F}(V1,V2,V3), P_k1_zfmisc_1-{F}(V3,V4), m1_pboole-{F}(V2,V1) | EXISTS V5: pppp16-{T}(V5,V4)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #59: input, references = 3, size of lhs = 1:
% 216.53/216.70 pppp16-{F}(V0,V1) | v1_pralg_2-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #60: input, references = 3, size of lhs = 1:
% 216.53/216.70 pppp16-{F}(V0,V1) | v1_fraenkel-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #61: input, references = 3, size of lhs = 2:
% 216.53/216.70 pppp16-{F}(V0,V1), v1_xboole_0-{F}(V0) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #62: input, references = 3, size of lhs = 1:
% 216.53/216.70 pppp16-{F}(V0,V1) | m1_subset_1-{T}(V0,V1)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #63: input, references = 4, size of lhs = 1:
% 216.53/216.70 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp17-{T}(V1)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #64: input, references = 3, size of lhs = 1:
% 216.53/216.70 pppp17-{F}(V0) | v1_funct_1-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #65: input, references = 5, size of lhs = 1:
% 216.53/216.70 pppp17-{F}(V0) | v1_xboole_0-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #66: input, references = 3, size of lhs = 1:
% 216.53/216.70 pppp17-{F}(V0) | v1_relat_1-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #67: input, references = 4, size of lhs = 2:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2) | EXISTS V3: pppp18-{T}(V3,V2)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #68: input, references = 4, size of lhs = 1:
% 216.53/216.70 pppp18-{F}(V0,V1) | v1_xboole_0-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #69: input, references = 3, size of lhs = 1:
% 216.53/216.70 pppp18-{F}(V0,V1) | m1_subset_1-{T}(V0,V1)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #70: input, references = 3, size of lhs = 1:
% 216.53/216.70 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp19-{T}(V1)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #71: input, references = 3, size of lhs = 2:
% 216.53/216.70 pppp19-{F}(V0), v1_xboole_0-{F}(V0) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #72: input, references = 4, size of lhs = 4:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), P_k1_closure2-{F}(V1,V2,V3), P_k1_zfmisc_1-{F}(V3,V4), m1_pboole-{F}(V2,V1) | EXISTS V5: pppp21-{T}(V4,V5)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #73: input, references = 5, size of lhs = 1:
% 216.53/216.70 pppp21-{F}(V0,V1) | pppp20-{T}(V1,V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #74: input, references = 3, size of lhs = 1:
% 216.53/216.70 pppp20-{F}(V0,V1) | v1_fraenkel-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #75: input, references = 3, size of lhs = 1:
% 216.53/216.70 pppp20-{F}(V0,V1) | v1_finset_1-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #76: input, references = 3, size of lhs = 1:
% 216.53/216.70 pppp20-{F}(V0,V1) | v2_funct_1-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #77: input, references = 3, size of lhs = 1:
% 216.53/216.70 pppp20-{F}(V0,V1) | v1_funct_1-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #78: input, references = 3, size of lhs = 1:
% 216.53/216.70 pppp20-{F}(V0,V1) | v1_relat_1-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #79: input, references = 5, size of lhs = 1:
% 216.53/216.70 pppp20-{F}(V0,V1) | v1_xboole_0-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #80: input, references = 3, size of lhs = 1:
% 216.53/216.70 pppp20-{F}(V0,V1) | m1_subset_1-{T}(V0,V1)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #81: input, references = 4, size of lhs = 2:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2) | v1_xboole_0-{T}(V1), pppp27-{T}(V2)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #82: input, references = 3, size of lhs = 1:
% 216.53/216.70 pppp27-{F}(V0) | EXISTS V1: pppp22-{T}(V1,V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #83: input, references = 3, size of lhs = 1:
% 216.53/216.70 pppp22-{F}(V0,V1) | v1_finset_1-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #84: input, references = 3, size of lhs = 2:
% 216.53/216.70 pppp22-{F}(V0,V1), v1_xboole_0-{F}(V0) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #85: input, references = 3, size of lhs = 1:
% 216.53/216.70 pppp22-{F}(V0,V1) | m1_subset_1-{T}(V0,V1)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #86: input, references = 3, size of lhs = 1:
% 216.53/216.70 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp23-{T}(V1)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #87: input, references = 3, size of lhs = 1:
% 216.53/216.70 pppp23-{F}(V0) | v2_funct_1-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #88: input, references = 3, size of lhs = 1:
% 216.53/216.70 pppp23-{F}(V0) | v1_funct_1-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #89: input, references = 3, size of lhs = 1:
% 216.53/216.70 pppp23-{F}(V0) | v1_relat_1-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #90: input, references = 4, size of lhs = 2:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2) | v1_xboole_0-{T}(V1), pppp28-{T}(V2)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #91: input, references = 3, size of lhs = 1:
% 216.53/216.70 pppp28-{F}(V0) | EXISTS V1: pppp24-{T}(V1,V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #92: input, references = 3, size of lhs = 1:
% 216.53/216.70 pppp24-{F}(V0,V1) | v1_finset_1-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #93: input, references = 3, size of lhs = 2:
% 216.53/216.70 pppp24-{F}(V0,V1), v1_xboole_0-{F}(V0) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #94: input, references = 3, size of lhs = 1:
% 216.53/216.70 pppp24-{F}(V0,V1) | m1_subset_1-{T}(V0,V1)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #95: input, references = 3, size of lhs = 6:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), P_k1_closure2-{F}(V1,V2,V3), P_k1_zfmisc_1-{F}(V3,V4), m1_pboole-{F}(V2,V1), m1_subset_1-{F}(V5,V4), m1_subset_1-{F}(V6,V4) | r1_closure3-{T}(V1,V2,V6,V6)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #96: input, references = 4, size of lhs = 2:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), #-{F} V1 | r1_tarski-{T}(V1,V1)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #97: input, references = 8, size of lhs = 2:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2) | m1_subset_1-{T}(V1,V2)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #98: input, references = 7, size of lhs = 3:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), r1_tarski-{F}(V1,V2), r1_tarski-{F}(V3,V1) | r1_tarski-{T}(V3,V2)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #99: input, references = 5, size of lhs = 2:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V2,V1) | v1_xboole_0-{T}(V1), r2_hidden-{T}(V2,V1)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #100: input, references = 8, size of lhs = 3:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V2,V3), m1_subset_1-{F}(V1,V3) | r1_tarski-{T}(V1,V2)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #101: input, references = 10, size of lhs = 3:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V2,V3), r1_tarski-{F}(V1,V2) | m1_subset_1-{T}(V1,V3)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #102: input, references = 9, size of lhs = 4:
% 216.53/216.70 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)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #103: input, references = 5, size of lhs = 5:
% 216.53/216.70 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
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #104: input, references = 9, size of lhs = 3:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V1 == V0 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #105: input, references = 5, size of lhs = 3:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), r2_hidden-{F}(V2,V1) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #106: input, references = 8, size of lhs = 4:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), v1_xboole_0-{F}(V2), V2 == V1 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #107: input, references = 6, size of lhs = 1:
% 216.53/216.70 #-{F} V0 | EXISTS V1: P_k1_zfmisc_1-{T}(V0,V1)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #108: input, references = 4, size of lhs = 2:
% 216.53/216.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_k1_closure2-{T}(V0,V1,V2)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #109: input, references = 4, size of lhs = 0:
% 216.53/216.70 FALSE | EXISTS V0: P_k1_xboole_0-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 number of initial rules = 110
% 216.53/216.70
% 216.53/216.70 Simplifiers:
% 216.53/216.70 #110: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 P_k1_zfmisc_1-{F}(V0,V1), P_k1_zfmisc_1-{F}(V0,V3), V1 == V3 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #111: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 P_k1_closure2-{F}(V0,V1,V2), P_k1_closure2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #112: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), P_k1_xboole_0-{F}(V1), V0 == V1 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #113: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp1-{F}(V0,V1,V2,V3,V4,V5), pppp1-{F}(V0,V1,V2,V3,V10,V5), V4 == V10 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #114: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp1-{F}(V0,V1,V2,V3,V4,V5), pppp1-{F}(V0,V1,V2,V9,V10,V5), V3 == V9 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #115: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp1-{F}(V0,V1,V2,V3,V4,V5), pppp1-{F}(V0,V1,V8,V9,V10,V5), V2 == V8 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #116: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp1-{F}(V0,V1,V2,V3,V4,V5), pppp1-{F}(V6,V1,V8,V9,V10,V11), V0 == V6 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #117: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp1-{F}(V0,V1,V2,V3,V4,V5), pppp1-{F}(V6,V7,V8,V9,V10,V11), V1 == V7 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #118: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #119: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V0,V1,V7,V8,V4), V2 == V7 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #120: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V5,V1,V7,V8,V9), V0 == V5 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #121: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V5,V6,V7,V8,V9), V1 == V6 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #122: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #123: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V1,V6,V7), V0 == V4 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #124: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #125: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #126: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp4-{F}(V0,V1), pppp4-{F}(V2,V3), V1 == V3 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #127: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #128: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #129: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #130: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #131: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #132: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #133: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #134: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #135: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #136: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp14-{F}(V0,V1), pppp14-{F}(V2,V1), V0 == V2 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #137: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #138: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp16-{F}(V0,V1), pppp16-{F}(V2,V1), V0 == V2 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #139: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #140: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp18-{F}(V0,V1), pppp18-{F}(V2,V1), V0 == V2 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #141: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp19-{F}(V0), pppp19-{F}(V1), V0 == V1 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #142: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp20-{F}(V0,V1), pppp20-{F}(V2,V1), V0 == V2 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #143: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp21-{F}(V0,V1), pppp21-{F}(V0,V3), V1 == V3 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #144: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp22-{F}(V0,V1), pppp22-{F}(V2,V1), V0 == V2 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #145: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp23-{F}(V0), pppp23-{F}(V1), V0 == V1 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #146: unsound, references = 3, size of lhs = 3:
% 216.53/216.70 pppp24-{F}(V0,V1), pppp24-{F}(V2,V1), V0 == V2 | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 number of simplifiers = 37
% 216.53/216.70
% 216.53/216.70 Learnt:
% 216.53/216.70 #156: mergings( V0 == V2; #153 ), references = 1, size of lhs = 1:
% 216.53/216.70 P_k1_xboole_0-{F}(V0) | pppp11-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #158: mergings( V0 == V2; #154 ), references = 1, size of lhs = 2:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1) | pppp11-{T}(V1)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #162: disj( #99, input ), references = 1, size of lhs = 2:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V1,V1) | v1_xboole_0-{T}(V1)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #164: mergings( V0 == V3; #161 ), references = 3, size of lhs = 5:
% 216.53/216.70 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)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #181: mergings( V0 == V2; #178 ), references = 1, size of lhs = 1:
% 216.53/216.70 P_k1_xboole_0-{F}(V0) | pppp17-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #183: mergings( V0 == V2; #179 ), references = 1, size of lhs = 2:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1) | pppp17-{T}(V1)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #203: mergings( V0 == V2; #200 ), references = 1, size of lhs = 1:
% 216.53/216.70 P_k1_xboole_0-{F}(V0) | pppp15-{T}(V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #205: mergings( V0 == V2; #201 ), references = 1, size of lhs = 2:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1) | pppp15-{T}(V1)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #213: mergings( V0 == V3; #209 ), references = 5, size of lhs = 3:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V1,V2), V2 == V0 | r2_hidden-{T}(V1,V2)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #216: mergings( V0 == V3, V2 == V3; #210 ), references = 1, size of lhs = 4:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V0 == V1, m1_subset_1-{F}(V2,V0) | r2_hidden-{T}(V2,V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #219: mergings( V0 == V3, V2 == V3; #211 ), references = 1, size of lhs = 4:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V1,V0), m1_pboole-{F}(V2,V3), P_k1_closure2-{F}(V3,V2,V0) | r2_hidden-{T}(V1,V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #232: mergings( V0 == V3; #228 ), references = 1, size of lhs = 3:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), V1 == V0 | pppp28-{T}(V2)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #235: mergings( V0 == V3, V1 == V3; #229 ), references = 1, size of lhs = 4:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V0 == V1, P_k1_zfmisc_1-{F}(V0,V2) | pppp28-{T}(V2)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #238: mergings( V0 == V3, V1 == V3; #230 ), references = 1, size of lhs = 3:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V0), P_k1_zfmisc_1-{F}(V0,V2) | pppp28-{T}(V2)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #250: mergings( V0 == V3; #246 ), references = 1, size of lhs = 3:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), V1 == V0 | pppp26-{T}(V2)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #253: mergings( V0 == V3, V1 == V3; #247 ), references = 1, size of lhs = 4:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V0 == V1, P_k1_zfmisc_1-{F}(V0,V2) | pppp26-{T}(V2)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #256: mergings( V0 == V3, V1 == V3; #248 ), references = 1, size of lhs = 3:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V0), P_k1_zfmisc_1-{F}(V0,V2) | pppp26-{T}(V2)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #276: mergings( V0 == V3; #272 ), references = 1, size of lhs = 3:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), V1 == V0 | pppp27-{T}(V2)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #279: mergings( V0 == V3, V1 == V3; #273 ), references = 1, size of lhs = 4:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V0 == V1, P_k1_zfmisc_1-{F}(V0,V2) | pppp27-{T}(V2)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #282: mergings( V0 == V3, V1 == V3; #274 ), references = 1, size of lhs = 3:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V0), P_k1_zfmisc_1-{F}(V0,V2) | pppp27-{T}(V2)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #301: mergings( V0 == V4; #299 ), references = 1, size of lhs = 2:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2) | pppp18-{T}(V0,V2)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #333: exists( #22, #331 ), references = 1, size of lhs = 2:
% 216.53/216.70 pppp25-{F}(V0,V0), P_k1_xboole_0-{F}(V1) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #335: disj( #21, exists( #22, #331 ) ), references = 1, size of lhs = 2:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), #-{F} V1 | pppp0-{T}(V1,V1)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #366: mergings( V0 == V6; #363 ), references = 1, size of lhs = 4:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), m1_pboole-{F}(V1,V2), P_k1_closure2-{F}(V2,V1,V3), P_k1_zfmisc_1-{F}(V3,V4) | pppp21-{T}(V4,V0)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #368: mergings( V0 == V6; #364 ), references = 1, size of lhs = 5:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), m1_pboole-{F}(V2,V3), P_k1_closure2-{F}(V3,V2,V4), P_k1_zfmisc_1-{F}(V4,V5) | pppp21-{T}(V5,V1)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #380: mergings( V2 == V5; #376 ), references = 10, size of lhs = 5:
% 216.53/216.70 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
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #383: mergings( V2 == V5, V0 == V5; #378 ), references = 1, size of lhs = 6:
% 216.53/216.70 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
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #418: exists( #31, #415 ), references = 1, size of lhs = 3:
% 216.53/216.70 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_xboole_0-{F}(V2) | pppp9-{T}(V1,V2)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #475: mergings( V4 == V6; #473 ), references = 3, size of lhs = 5:
% 216.53/216.70 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), pppp0-{F}(V1,V2), r2_hidden-{F}(V3,V2), P_k1_xboole_0-{F}(V4) | pppp6-{T}(V1,V3,V4)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #519: exists( #22, #514 ), references = 1, size of lhs = 3:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), pppp25-{F}(V2,V1) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #524: disj( #21, exists( #22, #514 ) ), references = 1, size of lhs = 3:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), #-{F} V2 | pppp0-{T}(V2,V1)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #543: mergings( V4 == V5, V5 == V8; #539 ), references = 2, size of lhs = 8:
% 216.53/216.70 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), v1_xboole_0-{F}(V2), P_k1_zfmisc_1-{F}(V2,V3), P_k1_xboole_0-{F}(V4), P_k1_zfmisc_1-{F}(V4,V3), r2_hidden-{F}(V5,V6), V5 == V4 | pppp25-{T}(V1,V6)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #546: mergings( V3 == V4, V4 == V5; #540 ), references = 1, size of lhs = 8:
% 216.53/216.70 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_xboole_0-{F}(V2), v1_xboole_0-{F}(V3), P_k1_zfmisc_1-{F}(V3,V4), P_k1_zfmisc_1-{F}(V2,V4), r2_hidden-{F}(V5,V6), r2_hidden-{F}(V6,V7) | pppp25-{T}(V1,V7)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #606: mergings( V3 == V5; #604 ), references = 2, size of lhs = 4:
% 216.53/216.70 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), pppp25-{F}(V2,V1), P_k1_xboole_0-{F}(V3) | pppp7-{T}(V2,V1,V3)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #610: mergings( V2 == V4; #608 ), references = 1, size of lhs = 5:
% 216.53/216.70 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_xboole_0-{F}(V2), r1_tarski-{F}(V2,V3), r2_hidden-{F}(V3,V4) | pppp0-{T}(V4,V1)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #635: exists( #20, #631 ), references = 3, size of lhs = 4:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), pppp0-{F}(V1,V2), r2_hidden-{F}(V3,V2) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #640: disj( #21, exists( #20, #631 ) ), references = 1, size of lhs = 3:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), r2_hidden-{F}(V2,V3) | pppp25-{T}(V1,V3)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #735: mergings( V2 == V3, V3 == V7; #732 ), references = 3, size of lhs = 6:
% 216.53/216.70 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), V4 == V3 | pppp9-{T}(V4,V3)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #785: mergings( V4 == V8; #783 ), references = 4, size of lhs = 7:
% 216.53/216.70 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), pppp0-{F}(V4,V5), r2_hidden-{F}(V6,V5) | pppp6-{T}(V4,V6,V3)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #843: mergings( V3 == V7; #841 ), references = 2, size of lhs = 6:
% 216.53/216.70 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), pppp25-{F}(V5,V4) | pppp7-{T}(V5,V4,V3)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #886: disj( #21, #843+#23 ), references = 2, size of lhs = 7:
% 216.53/216.70 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), r1_tarski-{F}(V3,V4), r2_hidden-{F}(V4,V5), m1_subset_1-{F}(V6,V2) | pppp0-{T}(V5,V6)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #1008: mergings( V8 == V9, V9 == V13; #1005 ), references = 4, size of lhs = 14:
% 216.53/216.70 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), v1_xboole_0-{F}(V3), P_k1_zfmisc_1-{F}(V3,V4), P_k1_zfmisc_1-{F}(V4,V5), P_k1_xboole_0-{F}(V6), r1_tarski-{F}(V6,V6), m1_subset_1-{F}(V7,V5), m1_subset_1-{F}(V7,V2), P_k1_zfmisc_1-{F}(V8,V2), m1_pboole-{F}(V9,V10), P_k1_closure2-{F}(V10,V9,V8), pppp2-{F}(V9,V10,V7,V11,V2) | pppp1-{T}(V9,V10,V7,V11,V6,V2)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #1017: mergings( V10 == V16, V2 == V15, V3 == V4, V4 == V8, V8 == V14; #1011 ), references = 1, size of lhs = 18:
% 216.53/216.70 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), v1_xboole_0-{F}(V3), r1_tarski-{F}(V3,V3), P_k1_xboole_0-{F}(V3), m1_subset_1-{F}(V3,V2), v1_xboole_0-{F}(V4), P_k1_zfmisc_1-{F}(V4,V5), P_k1_zfmisc_1-{F}(V5,V6), m1_subset_1-{F}(V7,V6), m1_subset_1-{F}(V7,V2), P_k1_zfmisc_1-{F}(V8,V2), m1_subset_1-{F}(V9,V2), r2_hidden-{F}(V10,V9), m1_pboole-{F}(V11,V12), pppp2-{F}(V11,V12,V7,V9,V2), P_k1_closure2-{F}(V12,V11,V8) | pppp1-{T}(V11,V12,V7,V9,V3,V2)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #1037: mergings( V16 == V17, V7 == V8, V8 == V14, V14 == V15; #1032 ), references = 2, size of lhs = 19:
% 216.53/216.70 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), v1_xboole_0-{F}(V3), P_k1_zfmisc_1-{F}(V3,V4), P_k1_zfmisc_1-{F}(V4,V2), v1_xboole_0-{F}(V5), P_k1_zfmisc_1-{F}(V5,V6), P_k1_zfmisc_1-{F}(V6,V7), v1_xboole_0-{F}(V8), r1_tarski-{F}(V8,V8), m1_subset_1-{F}(V8,V2), P_k1_xboole_0-{F}(V8), m1_subset_1-{F}(V9,V7), m1_subset_1-{F}(V9,V2), P_k1_zfmisc_1-{F}(V10,V2), m1_pboole-{F}(V11,V12), pppp3-{F}(V11,V12,V9,V2), P_k1_closure2-{F}(V12,V11,V10) | pppp2-{T}(V11,V12,V9,V8,V2)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #1046: mergings( V13 == V14, V14 == V22, V4 == V10, V10 == V12, V12 == V3; #1040 ), references = 1, size of lhs = 26:
% 216.53/216.70 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), v1_xboole_0-{F}(V3), P_k1_zfmisc_1-{F}(V3,V4), P_k1_zfmisc_1-{F}(V4,V2), v1_xboole_0-{F}(V5), P_k1_zfmisc_1-{F}(V5,V6), P_k1_zfmisc_1-{F}(V6,V7), v1_xboole_0-{F}(V8), m1_subset_1-{F}(V8,V2), P_k1_xboole_0-{F}(V8), r1_tarski-{F}(V8,V8), m1_subset_1-{F}(V9,V7), m1_subset_1-{F}(V9,V2), v1_xboole_0-{F}(V10), P_k1_zfmisc_1-{F}(V10,V11), P_k1_zfmisc_1-{F}(V11,V2), v1_xboole_0-{F}(V12), P_k1_zfmisc_1-{F}(V12,V13), P_k1_zfmisc_1-{F}(V13,V14), m1_subset_1-{F}(V9,V14), P_k1_zfmisc_1-{F}(V15,V2), m1_pboole-{F}(V16,V17), pppp3-{F}(V16,V17,V9,V2), P_k1_closure2-{F}(V17,V16,V15) | pppp2-{T}(V16,V17,V9,V8,V2)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #1059: mergings( V2 == V16, V16 == V17; #1056 ), references = 1, size of lhs = 23:
% 216.53/216.70 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), v1_xboole_0-{F}(V3), P_k1_zfmisc_1-{F}(V3,V4), P_k1_zfmisc_1-{F}(V4,V2), v1_xboole_0-{F}(V5), P_k1_zfmisc_1-{F}(V5,V6), P_k1_zfmisc_1-{F}(V6,V2), v1_xboole_0-{F}(V7), m1_subset_1-{F}(V7,V2), P_k1_xboole_0-{F}(V7), r1_tarski-{F}(V7,V7), v1_xboole_0-{F}(V8), P_k1_zfmisc_1-{F}(V8,V9), P_k1_zfmisc_1-{F}(V9,V2), v1_xboole_0-{F}(V10), P_k1_zfmisc_1-{F}(V10,V11), P_k1_zfmisc_1-{F}(V11,V2), P_k1_zfmisc_1-{F}(V12,V2), pppp4-{F}(V13,V14), m1_pboole-{F}(V13,V14), P_k1_closure2-{F}(V14,V13,V12) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #1156: mergings( V5 == V6, V6 == V7; #1151 ), references = 1, size of lhs = 10:
% 216.53/216.70 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), m1_subset_1-{F}(V3,V2), P_k1_xboole_0-{F}(V4), v1_xboole_0-{F}(V5), P_k1_zfmisc_1-{F}(V5,V6), P_k1_zfmisc_1-{F}(V4,V6), r2_hidden-{F}(V7,V8), r2_hidden-{F}(V8,V9) | pppp25-{T}(V3,V9)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #1159: mergings( V5 == V7, V7 == V10; #1152 ), references = 1, size of lhs = 10:
% 216.53/216.70 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), m1_subset_1-{F}(V3,V2), v1_xboole_0-{F}(V4), P_k1_zfmisc_1-{F}(V4,V5), P_k1_xboole_0-{F}(V6), P_k1_zfmisc_1-{F}(V6,V5), r2_hidden-{F}(V7,V8), V7 == V6 | pppp25-{T}(V3,V8)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #1253: mergings( V3 == V4; #1251 ), references = 1, size of lhs = 4:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), r2_hidden-{F}(V1,V3), pppp25-{F}(V3,V2) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #1408: disj( #21, mergings( V3 == V4; #1251 ) ), references = 2, size of lhs = 3:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), r2_hidden-{F}(V1,V3) | pppp0-{T}(V3,V2)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #1537: mergings( V2 == V3, V3 == V4; #1534 ), references = 2, size of lhs = 6:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), r2_hidden-{F}(V1,V3), r1_tarski-{F}(V4,V2), r2_hidden-{F}(V5,V4), pppp7-{F}(V3,V6,V5) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #1540: exists( #22, #1538 ), references = 2, size of lhs = 5:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), r2_hidden-{F}(V1,V3), pppp25-{F}(V3,V4), r1_tarski-{F}(V4,V2) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #1730: mergings( V4 == V5, V5 == V6, V6 == V7; #1725 ), references = 1, size of lhs = 7:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), pppp0-{F}(V3,V4), r2_hidden-{F}(V1,V5), pppp25-{F}(V5,V6), r2_hidden-{F}(V6,V4) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #1735: mergings( V2 == V3, V3 == V4, V4 == V5; #1731 ), references = 1, size of lhs = 6:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), r2_hidden-{F}(V1,V4), pppp25-{F}(V4,V5), r2_hidden-{F}(V5,V6) | pppp25-{T}(V3,V6)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #2006: mergings( V4 == V5, V5 == V6; #2003 ), references = 2, size of lhs = 6:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), pppp0-{F}(V2,V3), r2_hidden-{F}(V1,V4), r2_hidden-{F}(V5,V3), pppp7-{F}(V4,V6,V5) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #2009: exists( #22, #2007 ), references = 2, size of lhs = 5:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), pppp0-{F}(V2,V3), r2_hidden-{F}(V1,V4), pppp25-{F}(V4,V3) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #2052: disj( #21, exists( #22, #2007 ) ), references = 1, size of lhs = 4:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), r2_hidden-{F}(V1,V3), pppp25-{F}(V3,V4) | pppp25-{T}(V2,V4)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #2053: disj( #21, mergings( V4 == V5, V5 == V6; #2003 ) ), references = 1, size of lhs = 5:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), r2_hidden-{F}(V1,V3), pppp7-{F}(V3,V4,V5), r2_hidden-{F}(V5,V6) | pppp25-{T}(V2,V6)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #2193: exists( #6, #2191 ), references = 1, size of lhs = 1:
% 216.53/216.70 pppp2-{F}(V0,V1,V2,V2,V3) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #2350: mergings( V8 == V9; #2348 ), references = 1, size of lhs = 11:
% 216.53/216.70 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), v1_xboole_0-{F}(V2), P_k1_zfmisc_1-{F}(V2,V3), P_k1_xboole_0-{F}(V4), P_k1_zfmisc_1-{F}(V4,V3), r2_hidden-{F}(V5,V1), P_k1_zfmisc_1-{F}(V5,V6), pppp0-{F}(V6,V7), pppp0-{F}(V7,V8), r2_hidden-{F}(V9,V8) | pppp6-{T}(V7,V9,V4)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #2355: mergings( V6 == V7; #2353 ), references = 1, size of lhs = 12:
% 216.53/216.70 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), v1_xboole_0-{F}(V2), P_k1_zfmisc_1-{F}(V2,V3), P_k1_xboole_0-{F}(V4), P_k1_zfmisc_1-{F}(V4,V3), r2_hidden-{F}(V5,V1), P_k1_zfmisc_1-{F}(V5,V6), r2_hidden-{F}(V4,V7), pppp0-{F}(V8,V9), r2_hidden-{F}(V10,V9), pppp7-{F}(V7,V11,V10) | pppp25-{T}(V6,V8)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #2506: disj( #21, exists( #22, #1538 ) ), references = 1, size of lhs = 4:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), r2_hidden-{F}(V1,V3), r1_tarski-{F}(V4,V2) | pppp0-{T}(V3,V4)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #2507: disj( #21, mergings( V4 == V5, V5 == V6, V6 == V7; #1725 ) ), references = 1, size of lhs = 6:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), pppp0-{F}(V3,V4), r2_hidden-{F}(V1,V5), r2_hidden-{F}(V6,V4) | pppp0-{T}(V5,V6)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #2508: disj( #21, exists( #22, #2007 ) ), references = 1, size of lhs = 4:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), pppp0-{F}(V2,V3), r2_hidden-{F}(V1,V4) | pppp0-{T}(V4,V3)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #2673: mergings( V7 == V9, V9 == V12; #2669 ), references = 2, size of lhs = 11:
% 216.53/216.70 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), m1_subset_1-{F}(V3,V2), pppp0-{F}(V3,V4), pppp0-{F}(V4,V5), r2_hidden-{F}(V6,V5), v1_xboole_0-{F}(V7), P_k1_zfmisc_1-{F}(V7,V8), P_k1_xboole_0-{F}(V9), P_k1_zfmisc_1-{F}(V9,V8) | pppp6-{T}(V4,V6,V9)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #2698: mergings( V4 == V5, V5 == V6; #2695 ), references = 2, size of lhs = 8:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), pppp0-{F}(V1,V2), m1_subset_1-{F}(V1,V3), r2_hidden-{F}(V4,V2), P_k1_zfmisc_1-{F}(V5,V3), P_k1_zfmisc_1-{F}(V6,V5), r2_hidden-{F}(V6,V7), pppp7-{F}(V7,V8,V4) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #2746: disj( #21, mergings( V4 == V5, V5 == V6; #2695 ) ), references = 1, size of lhs = 7:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V1,V2), P_k1_zfmisc_1-{F}(V3,V2), P_k1_zfmisc_1-{F}(V4,V3), r2_hidden-{F}(V4,V5), pppp7-{F}(V5,V6,V7), r2_hidden-{F}(V7,V8) | pppp25-{T}(V1,V8)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #3049: disj( #21, #2673+#25+#23 ), references = 1, size of lhs = 12:
% 216.53/216.70 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), m1_subset_1-{F}(V3,V2), v1_xboole_0-{F}(V4), P_k1_zfmisc_1-{F}(V4,V5), P_k1_xboole_0-{F}(V6), P_k1_zfmisc_1-{F}(V6,V5), r2_hidden-{F}(V6,V7), pppp0-{F}(V8,V9), r2_hidden-{F}(V10,V9), pppp7-{F}(V7,V11,V10) | pppp25-{T}(V3,V8)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #3340: exists( #22, #3336 ), references = 1, size of lhs = 7:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), pppp0-{F}(V1,V2), m1_subset_1-{F}(V1,V3), pppp25-{F}(V4,V2), r2_hidden-{F}(V5,V4), P_k1_zfmisc_1-{F}(V5,V6), P_k1_zfmisc_1-{F}(V6,V3) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #3342: disj( #21, exists( #22, #3336 ) ), references = 1, size of lhs = 6:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), pppp0-{F}(V1,V2), m1_subset_1-{F}(V1,V3), P_k1_zfmisc_1-{F}(V4,V3), P_k1_zfmisc_1-{F}(V5,V4), r2_hidden-{F}(V5,V6) | pppp0-{T}(V6,V2)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #3466: exists( #20, #3464 ), references = 2, size of lhs = 5:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), pppp0-{F}(V1,V2), r2_hidden-{F}(V3,V2), r1_tarski-{F}(V4,V3), pppp7-{F}(V1,V5,V4) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #3470: mergings( V3 == V4; #3468 ), references = 1, size of lhs = 6:
% 216.53/216.70 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_xboole_0-{F}(V2), r1_tarski-{F}(V2,V3), r2_hidden-{F}(V3,V4), pppp0-{F}(V5,V4) | pppp0-{T}(V5,V1)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #3602: exists( #20, #3600 ), references = 2, size of lhs = 5:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), pppp0-{F}(V1,V2), pppp0-{F}(V2,V3), r2_hidden-{F}(V4,V3), pppp7-{F}(V1,V5,V4) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #3791: disj( #21, exists( #20, #3600 ) ), references = 1, size of lhs = 4:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), pppp0-{F}(V1,V2), r2_hidden-{F}(V3,V2), pppp7-{F}(V4,V5,V3) | pppp25-{T}(V4,V1)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #3959: mergings( V2 == V3, V3 == V4, V4 == V5; #3955 ), references = 1, size of lhs = 11:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2), r1_tarski-{F}(V2,V3), V3 == V0, m1_subset_1-{F}(V3,V4), P_k1_zfmisc_1-{F}(V1,V5), m1_subset_1-{F}(V5,V4), P_k1_zfmisc_1-{F}(V6,V4), m1_pboole-{F}(V7,V8), P_k1_closure2-{F}(V8,V7,V6), pppp1-{F}(V7,V8,V5,V9,V3,V10) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #4055: disj( #21, #19+#9 ), references = 2, size of lhs = 6:
% 216.53/216.70 m1_pboole-{F}(V0,V1), P_k1_closure2-{F}(V1,V0,V2), P_k1_zfmisc_1-{F}(V2,V3), m1_subset_1-{F}(V4,V3), m1_subset_1-{F}(V5,V3), pppp1-{F}(V0,V1,V5,V6,V4,V7) | pppp25-{T}(V4,V5)
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #4328: exists( #22, #4325 ), references = 1, size of lhs = 4:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), pppp25-{F}(V1,V2), pppp0-{F}(V1,V3), pppp0-{F}(V3,V2) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #4335: mergings( V7 == V8; #4333 ), references = 1, size of lhs = 8:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V1,V2), pppp0-{F}(V1,V3), m1_subset_1-{F}(V3,V2), P_k1_zfmisc_1-{F}(V4,V2), m1_pboole-{F}(V5,V6), pppp2-{F}(V5,V6,V3,V1,V2), P_k1_closure2-{F}(V6,V5,V4) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #4342: mergings( V6 == V7, V7 == V8; #4339 ), references = 2, size of lhs = 6:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V1,V2), P_k1_zfmisc_1-{F}(V3,V2), m1_pboole-{F}(V4,V5), pppp3-{F}(V4,V5,V1,V2), P_k1_closure2-{F}(V5,V4,V3) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #4346: mergings( V2 == V6; #4344 ), references = 1, size of lhs = 5:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), pppp4-{F}(V1,V2), m1_pboole-{F}(V1,V2), P_k1_closure2-{F}(V2,V1,V3), P_k1_zfmisc_1-{F}(V3,V4) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #4349: exists( #107, #4347 ), references = 1, size of lhs = 3:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), pppp4-{F}(V1,V2), P_k1_closure2-{F}(V2,V1,V3) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #4351: exists( #108, #4348 ), references = 1, size of lhs = 2:
% 216.53/216.70 P_k1_xboole_0-{F}(V0), pppp4-{F}(V1,V2) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #4353: exists( #1, #4350 ), references = 1, size of lhs = 2:
% 216.53/216.70 pppp5-{F}(V0), P_k1_xboole_0-{F}(V1) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #4355: exists( #109, #4352 ), references = 1, size of lhs = 1:
% 216.53/216.70 pppp5-{F}(V0) | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 #4357: exists( #0, #4354 ), references = 1, size of lhs = 0:
% 216.53/216.70 FALSE | FALSE
% 216.53/216.70 (used 0 times, uses = {})
% 216.53/216.70
% 216.53/216.70 number of learnt formulas = 85
% 216.53/216.70
% 216.53/216.70
% 216.53/216.70 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 216.53/216.70
% 216.53/216.70 randbase = 1
%------------------------------------------------------------------------------