TSTP Solution File: SEU430+1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU430+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:18:05 EDT 2022
% Result : Theorem 14.31s 14.50s
% Output : Refutation 14.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU430+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 19:41:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 14.31/14.50 GeoParameters:
% 14.31/14.50
% 14.31/14.50 tptp_input = 1
% 14.31/14.50 tptp_output = 0
% 14.31/14.50 nonempty = 1
% 14.31/14.50 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.31/14.50 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 14.31/14.50
% 14.31/14.50
% 14.31/14.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.31/14.50 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.31/14.50
% 14.31/14.50 RuleSystem INPUT:
% 14.31/14.50
% 14.31/14.50 Initial Rules:
% 14.31/14.50 #0: input, references = 4, size of lhs = 1:
% 14.31/14.50 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #1: input, references = 5, size of lhs = 1:
% 14.31/14.50 pppp6-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V1,V0,V2)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #2: input, references = 15, size of lhs = 4:
% 14.31/14.50 pppp5-{F}(V0,V1,V2), P_k1_zfmisc_1-{F}(V0,V3), P_k1_zfmisc_1-{F}(V3,V4), P_k5_setfam_1-{F}(V0,V2,V5) | pppp4-{T}(V2,V4,V5,V1)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #3: input, references = 5, size of lhs = 2:
% 14.31/14.50 pppp4-{F}(V0,V1,V3,V3), pppp0-{F}(V0) | FALSE
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #4: input, references = 6, size of lhs = 2:
% 14.31/14.50 pppp4-{F}(V0,V1,V2,V3), V2 == V3 | pppp0-{T}(V0)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #5: input, references = 8, size of lhs = 1:
% 14.31/14.50 pppp4-{F}(V0,V1,V2,V3) | m1_subset_1-{T}(V0,V1)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #6: input, references = 9, size of lhs = 4:
% 14.31/14.50 P_k1_xboole_0-{F}(V0), pppp0-{F}(V1), r2_hidden-{F}(V2,V1), V2 == V0 | FALSE
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #7: input, references = 9, size of lhs = 2:
% 14.31/14.50 P_k1_xboole_0-{F}(V0), #-{F} V1 | pppp0-{T}(V1), pppp17-{T}(V1,V0)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #8: input, references = 8, size of lhs = 1:
% 14.31/14.50 pppp17-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V0,V2,V1)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #9: input, references = 12, size of lhs = 1:
% 14.31/14.50 pppp7-{F}(V0,V2,V2) | FALSE
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #10: input, references = 11, size of lhs = 1:
% 14.31/14.50 pppp7-{F}(V0,V1,V2) | r2_hidden-{T}(V1,V0)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #11: input, references = 4, size of lhs = 3:
% 14.31/14.50 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2), r2_hidden-{F}(V2,V1) | FALSE
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #12: input, references = 3, size of lhs = 2:
% 14.31/14.50 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1) | v1_relat_1-{T}(V1)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #13: input, references = 4, size of lhs = 1:
% 14.31/14.50 P_k1_xboole_0-{F}(V0) | pppp1-{T}(V0)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #14: input, references = 3, size of lhs = 3:
% 14.31/14.50 P_k1_xboole_0-{F}(V0), pppp1-{F}(V1), V1 == V0 | FALSE
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #15: input, references = 6, size of lhs = 3:
% 14.31/14.50 P_k1_xboole_0-{F}(V0), pppp1-{F}(V1), r2_hidden-{F}(V2,V1) | FALSE
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #16: input, references = 4, size of lhs = 2:
% 14.31/14.50 P_k1_xboole_0-{F}(V0), #-{F} V1 | pppp1-{T}(V1), pppp18-{T}(V1)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #17: input, references = 10, size of lhs = 1:
% 14.31/14.50 pppp18-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #18: input, references = 19, size of lhs = 1:
% 14.31/14.50 pppp8-{F}(V0,V1) | r2_hidden-{T}(V1,V0)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #19: input, references = 26, size of lhs = 2:
% 14.31/14.50 P_k1_xboole_0-{F}(V0), P_k3_tarski-{F}(V1,V3) | pppp3-{T}(V3,V1)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #20: input, references = 5, size of lhs = 4:
% 14.31/14.50 P_k1_xboole_0-{F}(V0), P_k3_tarski-{F}(V1,V3), pppp3-{F}(V2,V1), V2 == V3 | FALSE
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #21: input, references = 4, size of lhs = 3:
% 14.31/14.50 P_k1_xboole_0-{F}(V0), pppp3-{F}(V1,V2), r2_hidden-{F}(V3,V1) | pppp2-{T}(V2,V3)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #22: input, references = 17, size of lhs = 3:
% 14.31/14.50 P_k1_xboole_0-{F}(V0), pppp3-{F}(V1,V2), pppp2-{F}(V2,V3) | r2_hidden-{T}(V3,V1)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #23: input, references = 4, size of lhs = 3:
% 14.31/14.50 P_k1_xboole_0-{F}(V0), #-{F} V1, #-{F} V2 | pppp3-{T}(V1,V2), pppp19-{T}(V1,V2)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #24: input, references = 7, size of lhs = 1:
% 14.31/14.50 pppp19-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V0,V1,V2)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #25: input, references = 11, size of lhs = 3:
% 14.31/14.50 pppp9-{F}(V0,V1,V2), pppp2-{F}(V1,V2), r2_hidden-{F}(V2,V0) | FALSE
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #26: input, references = 7, size of lhs = 1:
% 14.31/14.50 pppp9-{F}(V0,V1,V2) | r2_hidden-{T}(V2,V0), pppp2-{T}(V1,V2)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #27: input, references = 3, size of lhs = 2:
% 14.31/14.50 P_k1_xboole_0-{F}(V0), pppp2-{F}(V1,V2) | EXISTS V3: pppp10-{T}(V1,V2,V3)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #28: input, references = 8, size of lhs = 3:
% 14.31/14.50 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V2,V3), r2_hidden-{F}(V3,V1) | pppp2-{T}(V1,V2)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #29: input, references = 3, size of lhs = 1:
% 14.31/14.50 pppp10-{F}(V0,V1,V2) | r2_hidden-{T}(V2,V0)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #30: input, references = 3, size of lhs = 1:
% 14.31/14.50 pppp10-{F}(V0,V1,V2) | r2_hidden-{T}(V1,V2)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #31: input, references = 6, size of lhs = 5:
% 14.31/14.50 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V3), P_k1_zfmisc_1-{F}(V3,V4), P_k5_setfam_1-{F}(V1,V2,V5), m1_subset_1-{F}(V2,V4) | m1_subset_1-{T}(V5,V3)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #32: input, references = 5, size of lhs = 2:
% 14.31/14.50 P_k1_xboole_0-{F}(V0), #-{F} V1 | EXISTS V2: pppp11-{T}(V1,V2)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #33: input, references = 5, size of lhs = 1:
% 14.31/14.50 pppp11-{F}(V0,V1) | m1_subset_1-{T}(V1,V0)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #34: input, references = 4, size of lhs = 1:
% 14.31/14.50 P_k1_xboole_0-{F}(V0) | v1_xboole_0-{T}(V0)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #35: input, references = 3, size of lhs = 1:
% 14.31/14.50 P_k1_xboole_0-{F}(V0) | v1_relat_1-{T}(V0)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #36: input, references = 3, size of lhs = 1:
% 14.31/14.50 P_k1_xboole_0-{F}(V0) | v3_relat_1-{T}(V0)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #37: input, references = 4, size of lhs = 3:
% 14.31/14.50 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), v1_xboole_0-{F}(V2) | FALSE
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #38: input, references = 3, size of lhs = 1:
% 14.31/14.50 P_k1_xboole_0-{F}(V0) | v1_xboole_0-{T}(V0)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #39: input, references = 3, size of lhs = 1:
% 14.31/14.50 P_k1_xboole_0-{F}(V0) | v1_relat_1-{T}(V0)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #40: input, references = 4, size of lhs = 1:
% 14.31/14.50 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #41: input, references = 3, size of lhs = 1:
% 14.31/14.50 pppp12-{F}(V0) | v1_relat_1-{T}(V0)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #42: input, references = 5, size of lhs = 1:
% 14.31/14.50 pppp12-{F}(V0) | v1_xboole_0-{T}(V0)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #43: input, references = 4, size of lhs = 2:
% 14.31/14.50 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2) | v1_xboole_0-{T}(V1), pppp20-{T}(V2)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #44: input, references = 3, size of lhs = 1:
% 14.31/14.50 pppp20-{F}(V0) | EXISTS V1: pppp13-{T}(V1,V0)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #45: input, references = 3, size of lhs = 2:
% 14.31/14.50 pppp13-{F}(V0,V1), v1_xboole_0-{F}(V0) | FALSE
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #46: input, references = 3, size of lhs = 1:
% 14.31/14.50 pppp13-{F}(V0,V1) | m1_subset_1-{T}(V0,V1)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #47: input, references = 3, size of lhs = 1:
% 14.31/14.50 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #48: input, references = 3, size of lhs = 1:
% 14.31/14.50 pppp14-{F}(V0) | v1_relat_1-{T}(V0)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #49: input, references = 3, size of lhs = 2:
% 14.31/14.50 pppp14-{F}(V0), v1_xboole_0-{F}(V0) | FALSE
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #50: input, references = 4, size of lhs = 2:
% 14.31/14.50 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2) | EXISTS V3: pppp15-{T}(V3,V2)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #51: input, references = 5, size of lhs = 1:
% 14.31/14.50 pppp15-{F}(V0,V1) | v1_xboole_0-{T}(V0)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #52: input, references = 6, size of lhs = 1:
% 14.31/14.50 pppp15-{F}(V0,V1) | m1_subset_1-{T}(V0,V1)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #53: input, references = 3, size of lhs = 1:
% 14.31/14.50 P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp16-{T}(V1)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #54: input, references = 3, size of lhs = 1:
% 14.31/14.50 pppp16-{F}(V0) | v3_relat_1-{T}(V0)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #55: input, references = 3, size of lhs = 1:
% 14.31/14.50 pppp16-{F}(V0) | v1_relat_1-{T}(V0)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #56: input, references = 7, size of lhs = 7:
% 14.31/14.50 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V3), P_k1_zfmisc_1-{F}(V3,V4), P_k5_setfam_1-{F}(V1,V2,V5), P_k3_tarski-{F}(V2,V6), m1_subset_1-{F}(V2,V4), V5 == V6 | FALSE
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #57: input, references = 7, size of lhs = 2:
% 14.31/14.50 P_k1_xboole_0-{F}(V0), #-{F} V1 | r1_tarski-{T}(V1,V1)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #58: input, references = 6, size of lhs = 2:
% 14.31/14.50 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2) | m1_subset_1-{T}(V1,V2)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #59: input, references = 4, size of lhs = 2:
% 14.31/14.50 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V2,V1) | v1_xboole_0-{T}(V1), r2_hidden-{T}(V2,V1)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #60: input, references = 3, size of lhs = 3:
% 14.31/14.50 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V2,V3), m1_subset_1-{F}(V1,V3) | r1_tarski-{T}(V1,V2)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #61: input, references = 13, size of lhs = 3:
% 14.31/14.50 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V2,V3), r1_tarski-{F}(V1,V2) | m1_subset_1-{T}(V1,V3)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #62: input, references = 5, size of lhs = 4:
% 14.31/14.50 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)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #63: input, references = 6, size of lhs = 5:
% 14.31/14.50 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
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #64: input, references = 5, size of lhs = 3:
% 14.31/14.50 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V1 == V0 | FALSE
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #65: input, references = 6, size of lhs = 3:
% 14.31/14.50 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), r2_hidden-{F}(V2,V1) | FALSE
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #66: input, references = 5, size of lhs = 4:
% 14.31/14.50 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), v1_xboole_0-{F}(V2), V2 == V1 | FALSE
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #67: input, references = 17, size of lhs = 1:
% 14.31/14.50 #-{F} V0 | EXISTS V1: P_k1_zfmisc_1-{T}(V0,V1)
% 14.31/14.50 (used 0 times, uses = {})
% 14.31/14.50
% 14.31/14.50 #68: input, references = 6, size of lhs = 2:
% 14.31/14.51 #-{F} V0, #-{F} V1 | EXISTS V2: P_k5_setfam_1-{T}(V0,V1,V2)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #69: input, references = 4, size of lhs = 0:
% 14.31/14.51 FALSE | EXISTS V0: P_k1_xboole_0-{T}(V0)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #70: input, references = 12, size of lhs = 1:
% 14.31/14.51 #-{F} V0 | EXISTS V1: P_k3_tarski-{T}(V0,V1)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 number of initial rules = 71
% 14.31/14.51
% 14.31/14.51 Simplifiers:
% 14.31/14.51 #71: unsound, references = 3, size of lhs = 3:
% 14.31/14.51 P_k1_zfmisc_1-{F}(V0,V1), P_k1_zfmisc_1-{F}(V0,V3), V1 == V3 | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #72: unsound, references = 3, size of lhs = 3:
% 14.31/14.51 P_k5_setfam_1-{F}(V0,V1,V2), P_k5_setfam_1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #73: unsound, references = 3, size of lhs = 3:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), P_k1_xboole_0-{F}(V1), V0 == V1 | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #74: unsound, references = 3, size of lhs = 3:
% 14.31/14.51 P_k3_tarski-{F}(V0,V1), P_k3_tarski-{F}(V0,V3), V1 == V3 | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #75: unsound, references = 3, size of lhs = 3:
% 14.31/14.51 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #76: unsound, references = 3, size of lhs = 3:
% 14.31/14.51 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #77: unsound, references = 3, size of lhs = 3:
% 14.31/14.51 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V1,V5), V0 == V3 | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #78: unsound, references = 3, size of lhs = 3:
% 14.31/14.51 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V4,V5), V1 == V4 | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #79: unsound, references = 3, size of lhs = 3:
% 14.31/14.51 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #80: unsound, references = 3, size of lhs = 3:
% 14.31/14.51 pppp6-{F}(V0,V1), pppp6-{F}(V2,V3), V0 == V2 | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #81: unsound, references = 3, size of lhs = 3:
% 14.31/14.51 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V4,V2), V1 == V4 | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #82: unsound, references = 3, size of lhs = 3:
% 14.31/14.51 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V4,V5), V2 == V5 | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #83: unsound, references = 3, size of lhs = 3:
% 14.31/14.51 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #84: unsound, references = 3, size of lhs = 3:
% 14.31/14.51 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #85: unsound, references = 3, size of lhs = 3:
% 14.31/14.51 pppp10-{F}(V0,V1,V2), pppp10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #86: unsound, references = 3, size of lhs = 3:
% 14.31/14.51 pppp11-{F}(V0,V1), pppp11-{F}(V0,V3), V1 == V3 | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #87: unsound, references = 3, size of lhs = 3:
% 14.31/14.51 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #88: unsound, references = 3, size of lhs = 3:
% 14.31/14.51 pppp13-{F}(V0,V1), pppp13-{F}(V2,V1), V0 == V2 | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #89: unsound, references = 3, size of lhs = 3:
% 14.31/14.51 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #90: unsound, references = 3, size of lhs = 3:
% 14.31/14.51 pppp15-{F}(V0,V1), pppp15-{F}(V2,V1), V0 == V2 | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #91: unsound, references = 3, size of lhs = 3:
% 14.31/14.51 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #92: unsound, references = 3, size of lhs = 3:
% 14.31/14.51 pppp17-{F}(V0,V1), pppp17-{F}(V2,V3), V1 == V3 | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 number of simplifiers = 22
% 14.31/14.51
% 14.31/14.51 Learnt:
% 14.31/14.51 #98: mergings( V0 == V2; #95 ), references = 1, size of lhs = 1:
% 14.31/14.51 P_k1_xboole_0-{F}(V0) | pppp12-{T}(V0)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #100: mergings( V0 == V2; #96 ), references = 1, size of lhs = 2:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1) | pppp12-{T}(V1)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #103: mergings( V0 == V2; #101 ), references = 19, size of lhs = 3:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), #-{F} V1, V1 == V0 | pppp18-{T}(V1)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #106: mergings( V0 == V3; #104 ), references = 8, size of lhs = 4:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), P_k3_tarski-{F}(V1,V2), #-{F} V3, V3 == V2 | pppp19-{T}(V3,V1)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #108: exists( #68, #56 ), references = 4, size of lhs = 5:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), m1_subset_1-{F}(V4,V3), P_k3_tarski-{F}(V4,V5) | P_k5_setfam_1-{T}(V1,V4,V5)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #115: exists( #17, #113 ), references = 4, size of lhs = 5:
% 14.31/14.51 pppp18-{F}(V0), P_k1_xboole_0-{F}(V1), v1_xboole_0-{F}(V2), P_k1_zfmisc_1-{F}(V2,V3), m1_subset_1-{F}(V0,V3) | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #132: mergings( V0 == V3; #128 ), references = 1, size of lhs = 3:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), V1 == V0 | pppp20-{T}(V2)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #135: mergings( V0 == V3, V1 == V3; #129 ), references = 1, size of lhs = 4:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V0 == V1, P_k1_zfmisc_1-{F}(V0,V2) | pppp20-{T}(V2)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #139: mergings( V5 == V2, V0 == V4, V1 == V4; #130 ), references = 1, size of lhs = 4:
% 14.31/14.51 pppp18-{F}(V0), P_k1_xboole_0-{F}(V1), m1_subset_1-{F}(V0,V2), P_k1_zfmisc_1-{F}(V1,V2) | pppp20-{T}(V2)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #144: mergings( V0 == V2; #142 ), references = 1, size of lhs = 3:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2), V1 == V0 | pppp17-{T}(V2,V0)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #149: mergings( V0 == V3; #145 ), references = 6, size of lhs = 3:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V1,V2), P_k1_zfmisc_1-{F}(V3,V2) | r2_hidden-{T}(V1,V2)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #151: mergings( V0 == V3; #146 ), references = 4, size of lhs = 3:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V1,V2), V2 == V0 | r2_hidden-{T}(V1,V2)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #154: mergings( V0 == V3, V2 == V3; #147 ), references = 1, size of lhs = 4:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V0 == V1, m1_subset_1-{F}(V2,V0) | r2_hidden-{T}(V2,V0)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #180: mergings( V0 == V4; #177 ), references = 4, size of lhs = 2:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2) | pppp15-{T}(V0,V2)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #182: mergings( V0 == V4; #178 ), references = 1, size of lhs = 3:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V2,V3) | pppp15-{T}(V1,V3)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #203: mergings( V2 == V3; #201 ), references = 2, size of lhs = 5:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), P_k3_tarski-{F}(V0,V1), P_k1_zfmisc_1-{F}(V2,V3), P_k5_setfam_1-{F}(V2,V0,V4), V4 == V1 | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #206: mergings( V1 == V3; #204 ), references = 2, size of lhs = 3:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), P_k3_tarski-{F}(V0,V1), P_k1_zfmisc_1-{F}(V2,V3) | P_k5_setfam_1-{T}(V2,V0,V1)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #271: exists( #68, #267 ), references = 5, size of lhs = 6:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), pppp5-{F}(V1,V4,V5), r2_hidden-{F}(V6,V5), V6 == V0 | P_k5_setfam_1-{T}(V1,V5,V4)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #273: mergings( V4 == V6; #270 ), references = 7, size of lhs = 5:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), pppp5-{F}(V1,V4,V5), P_k3_tarski-{F}(V5,V6) | P_k5_setfam_1-{T}(V1,V5,V6)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #349: mergings( V3 == V4, V4 == V5, V5 == V6; #345 ), references = 1, size of lhs = 6:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), pppp3-{F}(V1,V2), pppp3-{F}(V2,V3), r2_hidden-{F}(V1,V4), r2_hidden-{F}(V4,V5), pppp9-{F}(V6,V3,V5) | r2_hidden-{T}(V5,V6)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #376: disj( #7, input ), references = 3, size of lhs = 2:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), pppp4-{F}(V1,V2,V3,V3) | pppp17-{T}(V1,V0)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #452: mergings( V3 == V4, V4 == V5; #449 ), references = 3, size of lhs = 4:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2), pppp17-{F}(V2,V3) | pppp7-{T}(V2,V0,V3)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #470: mergings( V7 == V9, V10 == V11, V2 == V3, V3 == V4, V4 == V5; #464 ), references = 11, size of lhs = 6:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2), P_k1_zfmisc_1-{F}(V3,V2), P_k1_zfmisc_1-{F}(V2,V4), m1_subset_1-{F}(V5,V4) | P_k3_tarski-{T}(V5,V0)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #487: mergings( V14 == V17, V15 == V18, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V9, V9 == V10, V10 == V16; #477 ), references = 1, size of lhs = 10:
% 14.31/14.51 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_zfmisc_1-{F}(V2,V1), P_k1_xboole_0-{F}(V3), v1_xboole_0-{F}(V4), P_k1_zfmisc_1-{F}(V4,V5), r1_tarski-{F}(V5,V1), pppp5-{F}(V6,V3,V5), P_k1_zfmisc_1-{F}(V6,V7), P_k1_zfmisc_1-{F}(V7,V8) | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #496: disj( #7, #452+#9 ), references = 3, size of lhs = 3:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2) | pppp0-{T}(V2)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #521: exists( #17, #519 ), references = 1, size of lhs = 3:
% 14.31/14.51 pppp18-{F}(V0), pppp0-{F}(V0), P_k1_xboole_0-{F}(V1) | pppp8-{T}(V0,V1)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #567: mergings( V2 == V3, V3 == V6; #562 ), references = 1, size of lhs = 6:
% 14.31/14.51 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_zfmisc_1-{F}(V2,V1), P_k1_xboole_0-{F}(V3), pppp3-{F}(V4,V3), V4 == V3 | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #569: mergings( V2 == V5; #563 ), references = 1, size of lhs = 7:
% 14.31/14.51 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_zfmisc_1-{F}(V2,V1), P_k1_xboole_0-{F}(V3), P_k1_zfmisc_1-{F}(V4,V5), P_k5_setfam_1-{F}(V4,V3,V6), V6 == V3 | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #580: mergings( V2 == V0, V0 == V3, V3 == V7; #574 ), references = 2, size of lhs = 4:
% 14.31/14.51 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_zfmisc_1-{F}(V2,V1), P_k1_xboole_0-{F}(V3) | P_k3_tarski-{T}(V3,V3)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #664: disj( #26, input ), references = 4, size of lhs = 3:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), pppp1-{F}(V1), pppp9-{F}(V1,V2,V3) | pppp2-{T}(V2,V3)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #665: disj( #26, input ), references = 1, size of lhs = 3:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), pppp9-{F}(V1,V2,V3) | pppp2-{T}(V2,V3)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #666: disj( #26, input ), references = 1, size of lhs = 3:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2), pppp9-{F}(V1,V3,V2) | pppp2-{T}(V3,V2)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #734: exists( #70, #56 ), references = 5, size of lhs = 5:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), m1_subset_1-{F}(V4,V3), P_k5_setfam_1-{F}(V1,V4,V5) | P_k3_tarski-{T}(V4,V5)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #902: mergings( V5 == V7, V6 == V8, V2 == V3, V10 == V11; #897 ), references = 1, size of lhs = 7:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), P_k1_zfmisc_1-{F}(V4,V3), pppp5-{F}(V1,V5,V6), pppp9-{F}(V3,V7,V6), pppp2-{F}(V7,V6) | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #986: disj( #26, input ), references = 1, size of lhs = 2:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), pppp9-{F}(V1,V2,V1) | pppp2-{T}(V2,V1)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #987: disj( #26, input ), references = 8, size of lhs = 4:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), pppp0-{F}(V1), pppp9-{F}(V1,V2,V3), V3 == V0 | pppp2-{T}(V2,V3)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #988: disj( #26, input ), references = 1, size of lhs = 3:
% 14.31/14.51 pppp2-{F}(V0,V1), pppp9-{F}(V2,V0,V1), pppp9-{F}(V2,V3,V1) | pppp2-{T}(V3,V1)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #1271: disj( #26, input ), references = 1, size of lhs = 3:
% 14.31/14.51 r2_hidden-{F}(V0,V1), pppp9-{F}(V1,V2,V0), pppp9-{F}(V3,V2,V0) | r2_hidden-{T}(V0,V3)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #1391: mergings( V3 == V4, V4 == V5; #1386 ), references = 1, size of lhs = 5:
% 14.31/14.51 pppp0-{F}(V0), pppp19-{F}(V0,V1), P_k1_xboole_0-{F}(V2), pppp1-{F}(V3), pppp3-{F}(V3,V1) | pppp9-{T}(V0,V1,V2)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #1394: mergings( V3 == V4, V4 == V5; #1387 ), references = 1, size of lhs = 5:
% 14.31/14.51 pppp0-{F}(V0), pppp19-{F}(V0,V1), P_k1_xboole_0-{F}(V2), v1_xboole_0-{F}(V3), pppp3-{F}(V3,V1) | pppp9-{T}(V0,V1,V2)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #1397: mergings( V3 == V4, V4 == V5; #1388 ), references = 1, size of lhs = 7:
% 14.31/14.51 pppp0-{F}(V0), pppp19-{F}(V0,V1), P_k1_xboole_0-{F}(V2), v1_xboole_0-{F}(V3), P_k1_zfmisc_1-{F}(V3,V4), m1_subset_1-{F}(V5,V4), pppp3-{F}(V5,V1) | pppp9-{T}(V0,V1,V2)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #1479: exists( #8, #1473 ), references = 1, size of lhs = 3:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), pppp1-{F}(V1), pppp17-{F}(V1,V2) | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #1480: exists( #8, #1474 ), references = 1, size of lhs = 3:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), pppp17-{F}(V1,V2) | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #1481: exists( #8, #1475 ), references = 1, size of lhs = 5:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2), m1_subset_1-{F}(V3,V2), pppp17-{F}(V3,V4) | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #1486: mergings( V0 == V2; #1482 ), references = 1, size of lhs = 2:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), pppp1-{F}(V1) | pppp0-{T}(V1)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #1488: mergings( V0 == V2; #1483 ), references = 1, size of lhs = 2:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1) | pppp0-{T}(V1)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #1490: mergings( V0 == V2; #1484 ), references = 1, size of lhs = 4:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2), m1_subset_1-{F}(V3,V2) | pppp0-{T}(V3)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #1565: mergings( V2 == V3, V3 == V4; #1560 ), references = 6, size of lhs = 5:
% 14.31/14.51 pppp18-{F}(V0), P_k1_xboole_0-{F}(V1), pppp1-{F}(V2), pppp3-{F}(V2,V3), r2_hidden-{F}(V0,V3) | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #1568: mergings( V2 == V3, V3 == V4; #1561 ), references = 6, size of lhs = 5:
% 14.31/14.51 pppp18-{F}(V0), P_k1_xboole_0-{F}(V1), v1_xboole_0-{F}(V2), pppp3-{F}(V2,V3), r2_hidden-{F}(V0,V3) | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #1578: mergings( V2 == V3, V3 == V4, V4 == V5; #1573 ), references = 3, size of lhs = 4:
% 14.31/14.51 pppp18-{F}(V0), P_k1_xboole_0-{F}(V1), pppp1-{F}(V2), pppp3-{F}(V2,V0) | pppp8-{T}(V0,V1)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #1582: mergings( V2 == V3, V3 == V4, V4 == V5; #1574 ), references = 1, size of lhs = 4:
% 14.31/14.51 pppp18-{F}(V0), P_k1_xboole_0-{F}(V1), v1_xboole_0-{F}(V2), pppp3-{F}(V2,V0) | pppp8-{T}(V0,V1)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #1590: mergings( V0 == V3, V3 == V4; #1587 ), references = 1, size of lhs = 3:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2) | pppp11-{T}(V2,V0)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #1686: mergings( V3 == V4, V4 == V5, V5 == V6; #1680 ), references = 1, size of lhs = 6:
% 14.31/14.51 pppp1-{F}(V0), pppp19-{F}(V0,V1), P_k1_xboole_0-{F}(V2), pppp1-{F}(V3), pppp3-{F}(V3,V4), pppp3-{F}(V4,V1) | pppp9-{T}(V0,V1,V2)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #1690: mergings( V3 == V4, V4 == V5, V5 == V6; #1681 ), references = 1, size of lhs = 6:
% 14.31/14.51 pppp1-{F}(V0), pppp19-{F}(V0,V1), P_k1_xboole_0-{F}(V2), v1_xboole_0-{F}(V3), pppp3-{F}(V3,V4), pppp3-{F}(V4,V1) | pppp9-{T}(V0,V1,V2)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #1693: mergings( V3 == V4, V4 == V5; #1682 ), references = 1, size of lhs = 5:
% 14.31/14.51 pppp1-{F}(V0), pppp19-{F}(V0,V1), P_k1_xboole_0-{F}(V2), pppp0-{F}(V3), pppp3-{F}(V3,V1) | pppp9-{T}(V0,V1,V2)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #1762: mergings( V3 == V4; #1759 ), references = 8, size of lhs = 4:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), pppp1-{F}(V1), pppp3-{F}(V1,V2), pppp17-{F}(V2,V3) | pppp7-{T}(V2,V0,V3)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #1764: mergings( V3 == V4; #1760 ), references = 1, size of lhs = 4:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), pppp3-{F}(V1,V2), pppp17-{F}(V2,V3) | pppp7-{T}(V2,V0,V3)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #1871: mergings( V3 == V4, V4 == V5, V5 == V6; #1865 ), references = 3, size of lhs = 6:
% 14.31/14.51 pppp0-{F}(V0), pppp19-{F}(V0,V1), P_k1_xboole_0-{F}(V2), pppp1-{F}(V3), pppp3-{F}(V3,V4), pppp3-{F}(V4,V1) | pppp9-{T}(V0,V1,V2)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #1875: mergings( V3 == V4, V4 == V5, V5 == V6; #1866 ), references = 1, size of lhs = 6:
% 14.31/14.51 pppp0-{F}(V0), pppp19-{F}(V0,V1), P_k1_xboole_0-{F}(V2), v1_xboole_0-{F}(V3), pppp3-{F}(V3,V4), pppp3-{F}(V4,V1) | pppp9-{T}(V0,V1,V2)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #1878: mergings( V3 == V4, V4 == V5; #1867 ), references = 3, size of lhs = 5:
% 14.31/14.51 pppp0-{F}(V0), pppp19-{F}(V0,V1), P_k1_xboole_0-{F}(V2), pppp0-{F}(V3), pppp3-{F}(V3,V1) | pppp9-{T}(V0,V1,V2)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #1886: mergings( V0 == V2, V2 == V3, V3 == V5, V5 == V6; #1881 ), references = 5, size of lhs = 7:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V0,V1), pppp19-{F}(V1,V2), pppp2-{F}(V2,V0), pppp1-{F}(V3), pppp3-{F}(V3,V4), pppp3-{F}(V4,V2) | pppp17-{T}(V1,V0)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #1906: mergings( V3 == V4, V4 == V5, V5 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V18; #1897 ), references = 1, size of lhs = 12:
% 14.31/14.51 pppp1-{F}(V0), P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2), P_k1_zfmisc_1-{F}(V3,V2), P_k1_zfmisc_1-{F}(V2,V4), pppp17-{F}(V4,V5), pppp1-{F}(V6), pppp3-{F}(V6,V7), pppp3-{F}(V7,V8), pppp2-{F}(V8,V0), P_k3_tarski-{F}(V8,V9) | pppp7-{T}(V4,V0,V5), pppp7-{T}(V4,V9,V5)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #2030: mergings( V10 == V12, V8 == V13, V2 == V3, V3 == V4, V4 == V9, V14 == V15; #2023 ), references = 1, size of lhs = 8:
% 14.31/14.51 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_zfmisc_1-{F}(V2,V1), P_k1_zfmisc_1-{F}(V1,V3), P_k1_xboole_0-{F}(V4), P_k1_zfmisc_1-{F}(V5,V3), P_k1_zfmisc_1-{F}(V6,V5), pppp5-{F}(V6,V7,V8) | P_k3_tarski-{T}(V8,V4)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #2050: mergings( V13 == V14, V8 == V15, V14 == V16, V15 == V17, V16 == V18, V17 == V19, V3 == V4, V4 == V0, V0 == V9, V9 == V10, V10 == V11, V11 == V12; #2037 ), references = 2, size of lhs = 9:
% 14.31/14.51 pppp1-{F}(V0), P_k1_xboole_0-{F}(V0), pppp6-{F}(V0,V1), v1_xboole_0-{F}(V2), P_k1_zfmisc_1-{F}(V2,V3), P_k1_zfmisc_1-{F}(V4,V3), P_k1_zfmisc_1-{F}(V3,V5), P_k1_zfmisc_1-{F}(V1,V6), P_k1_zfmisc_1-{F}(V6,V5) | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #2060: mergings( V0 == V3, V3 == V4; #2057 ), references = 1, size of lhs = 3:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), pppp0-{F}(V1), V1 == V0 | pppp11-{T}(V1,V0)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #2083: exists( #67, #2050 ), references = 1, size of lhs = 7:
% 14.31/14.51 pppp1-{F}(V0), P_k1_xboole_0-{F}(V0), pppp6-{F}(V0,V1), v1_xboole_0-{F}(V2), P_k1_zfmisc_1-{F}(V2,V3), P_k1_zfmisc_1-{F}(V1,V3), P_k1_zfmisc_1-{F}(V4,V3) | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #2085: exists( #67, #2082 ), references = 1, size of lhs = 4:
% 14.31/14.51 pppp1-{F}(V0), P_k1_xboole_0-{F}(V0), pppp6-{F}(V0,V1), v1_xboole_0-{F}(V1) | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #2204: mergings( V12 == V16, V13 == V17, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V7 == V9, V14 == V15; #2195 ), references = 4, size of lhs = 10:
% 14.31/14.51 P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V0,V1), P_k3_tarski-{F}(V2,V1), r2_hidden-{F}(V0,V3), V3 == V1, pppp1-{F}(V4), pppp3-{F}(V4,V1), pppp5-{F}(V5,V6,V3), P_k1_zfmisc_1-{F}(V5,V7), P_k1_zfmisc_1-{F}(V7,V8) | P_k3_tarski-{T}(V3,V6)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #2246: mergings( V9 == V12, V10 == V11, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #2238 ), references = 1, size of lhs = 7:
% 14.31/14.51 pppp18-{F}(V0), P_k1_xboole_0-{F}(V1), pppp1-{F}(V2), pppp5-{F}(V3,V2,V0), m1_subset_1-{F}(V0,V4), P_k1_zfmisc_1-{F}(V3,V5), P_k1_zfmisc_1-{F}(V5,V4) | pppp8-{T}(V0,V1)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #2253: mergings( V9 == V12, V10 == V11, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #2239 ), references = 1, size of lhs = 7:
% 14.31/14.51 pppp18-{F}(V0), P_k1_xboole_0-{F}(V1), v1_xboole_0-{F}(V2), pppp5-{F}(V3,V2,V0), m1_subset_1-{F}(V0,V4), P_k1_zfmisc_1-{F}(V3,V5), P_k1_zfmisc_1-{F}(V5,V4) | pppp8-{T}(V0,V1)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #2271: mergings( V8 == V11, V9 == V10, V2 == V3, V3 == V4, V4 == V5, V5 == V1, V1 == V18, V6 == V19, V7 == V20, V11 == V21, V10 == V22; #2259 ), references = 1, size of lhs = 17:
% 14.31/14.51 pppp18-{F}(V0), m1_subset_1-{F}(V0,V1), pppp1-{F}(V2), pppp3-{F}(V2,V3), pppp3-{F}(V3,V4), pppp19-{F}(V0,V4), pppp2-{F}(V4,V5), P_k1_xboole_0-{F}(V5), r2_hidden-{F}(V5,V6), V0 == V6, P_k3_tarski-{F}(V7,V6), pppp1-{F}(V8), pppp3-{F}(V8,V6), pppp1-{F}(V9), pppp5-{F}(V10,V9,V0), P_k1_zfmisc_1-{F}(V10,V11), P_k1_zfmisc_1-{F}(V11,V1) | pppp8-{T}(V0,V5)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #2328: mergings( V9 == V11, V10 == V12, V11 == V13, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V7 == V14; #2318 ), references = 1, size of lhs = 6:
% 14.31/14.51 pppp18-{F}(V0), P_k1_xboole_0-{F}(V1), pppp1-{F}(V2), pppp5-{F}(V3,V2,V0), P_k1_zfmisc_1-{F}(V3,V4), P_k1_zfmisc_1-{F}(V4,V5) | pppp8-{T}(V0,V1)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #2337: mergings( V9 == V11, V10 == V12, V11 == V13, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V7 == V14; #2319 ), references = 1, size of lhs = 6:
% 14.31/14.51 pppp18-{F}(V0), P_k1_xboole_0-{F}(V1), v1_xboole_0-{F}(V2), pppp5-{F}(V3,V2,V0), P_k1_zfmisc_1-{F}(V3,V4), P_k1_zfmisc_1-{F}(V4,V5) | pppp8-{T}(V0,V1)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #2368: mergings( V24 == V26, V25 == V27, V26 == V28, V28 == V29, V27 == V30, V29 == V31, V30 == V32, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V12, V12 == V16, V16 == V19, V19 == V23; #2352 ), references = 1, size of lhs = 21:
% 14.31/14.51 pppp1-{F}(V0), pppp3-{F}(V0,V1), pppp3-{F}(V1,V2), P_k3_tarski-{F}(V2,V3), pppp1-{F}(V4), pppp3-{F}(V4,V5), P_k3_tarski-{F}(V6,V5), pppp1-{F}(V7), pppp3-{F}(V7,V8), pppp3-{F}(V8,V2), pppp2-{F}(V2,V9), r2_hidden-{F}(V9,V5), P_k1_xboole_0-{F}(V9), r2_hidden-{F}(V9,V10), P_k3_tarski-{F}(V11,V10), pppp1-{F}(V12), pppp3-{F}(V12,V10), pppp1-{F}(V13), pppp6-{F}(V13,V14), P_k1_zfmisc_1-{F}(V14,V15), P_k1_zfmisc_1-{F}(V15,V16) | pppp5-{T}(V14,V13,V9), pppp5-{T}(V14,V13,V3), pppp5-{T}(V14,V13,V5), pppp5-{T}(V14,V13,V10)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #2392: mergings( V23 == V25, V24 == V26, V25 == V27, V27 == V28, V26 == V29, V28 == V30, V29 == V31, V30 == V36, V31 == V37, V36 == V42, V37 == V43, V42 == V48, V43 == V49, V0 == V1, V1 == V2, V2 == V3, V3 == V4, V4 == V9, V9 == V13, V13 == V16, V16 == V20, V20 == V21; #2369 ), references = 3, size of lhs = 39:
% 14.31/14.51 pppp1-{F}(V0), pppp3-{F}(V0,V1), pppp3-{F}(V1,V2), P_k3_tarski-{F}(V2,V3), pppp1-{F}(V4), pppp3-{F}(V4,V5), P_k3_tarski-{F}(V6,V5), pppp1-{F}(V7), pppp3-{F}(V7,V8), pppp3-{F}(V8,V2), pppp2-{F}(V2,V9), r2_hidden-{F}(V9,V5), pppp1-{F}(V9), P_k1_xboole_0-{F}(V9), r2_hidden-{F}(V9,V10), P_k3_tarski-{F}(V11,V10), pppp1-{F}(V12), pppp3-{F}(V12,V10), pppp6-{F}(V9,V13), v1_xboole_0-{F}(V14), P_k1_zfmisc_1-{F}(V14,V15), r1_tarski-{F}(V3,V15), P_k1_zfmisc_1-{F}(V16,V15), v1_xboole_0-{F}(V17), P_k1_zfmisc_1-{F}(V17,V3), v1_xboole_0-{F}(V18), P_k1_zfmisc_1-{F}(V18,V19), r1_tarski-{F}(V5,V19), P_k1_zfmisc_1-{F}(V20,V19), v1_xboole_0-{F}(V21), P_k1_zfmisc_1-{F}(V21,V5), v1_xboole_0-{F}(V22), P_k1_zfmisc_1-{F}(V22,V23), r1_tarski-{F}(V10,V23), P_k1_zfmisc_1-{F}(V24,V23), v1_xboole_0-{F}(V25), P_k1_zfmisc_1-{F}(V25,V10), P_k1_zfmisc_1-{F}(V13,V26), P_k1_zfmisc_1-{F}(V26,V27) | pppp5-{T}(V13,V9,V9)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #2412: mergings( V10 == V12, V13 == V14, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V15, V15 == V17; #2403 ), references = 1, size of lhs = 12:
% 14.31/14.51 pppp1-{F}(V0), P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2), P_k1_zfmisc_1-{F}(V3,V2), P_k1_zfmisc_1-{F}(V2,V4), P_k1_zfmisc_1-{F}(V5,V4), P_k1_zfmisc_1-{F}(V4,V6), m1_subset_1-{F}(V7,V6), pppp2-{F}(V7,V0), pppp0-{F}(V8), r2_hidden-{F}(V0,V8) | P_k3_tarski-{T}(V7,V8)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #2428: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V12, V12 == V14, V14 == V16, V16 == V20; #2418 ), references = 1, size of lhs = 41:
% 14.31/14.51 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_zfmisc_1-{F}(V2,V1), P_k1_zfmisc_1-{F}(V1,V3), P_k1_zfmisc_1-{F}(V4,V3), pppp0-{F}(V5), r1_tarski-{F}(V6,V3), pppp1-{F}(V7), pppp3-{F}(V7,V5), pppp1-{F}(V8), pppp3-{F}(V8,V5), pppp1-{F}(V9), pppp3-{F}(V9,V5), pppp2-{F}(V6,V10), pppp1-{F}(V10), P_k1_xboole_0-{F}(V10), pppp0-{F}(V10), r2_hidden-{F}(V10,V5), pppp1-{F}(V11), pppp3-{F}(V11,V5), pppp6-{F}(V10,V12), P_k5_setfam_1-{F}(V12,V10,V10), P_k1_zfmisc_1-{F}(V12,V3), v1_xboole_0-{F}(V13), P_k1_zfmisc_1-{F}(V13,V14), r1_tarski-{F}(V5,V14), P_k1_zfmisc_1-{F}(V15,V14), v1_xboole_0-{F}(V16), P_k1_zfmisc_1-{F}(V16,V5), v1_xboole_0-{F}(V17), P_k1_zfmisc_1-{F}(V17,V18), r1_tarski-{F}(V5,V18), P_k1_zfmisc_1-{F}(V19,V18), v1_xboole_0-{F}(V20), P_k1_zfmisc_1-{F}(V20,V5), v1_xboole_0-{F}(V21), P_k1_zfmisc_1-{F}(V21,V22), r1_tarski-{F}(V5,V22), P_k1_zfmisc_1-{F}(V23,V22), v1_xboole_0-{F}(V24), P_k1_zfmisc_1-{F}(V24,V5) | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #2537: mergings( V7 == V11, V8 == V12, V2 == V5, V9 == V10; #2532 ), references = 1, size of lhs = 9:
% 14.31/14.51 pppp0-{F}(V0), pppp19-{F}(V0,V1), P_k1_xboole_0-{F}(V2), pppp2-{F}(V1,V2), r2_hidden-{F}(V2,V0), pppp3-{F}(V3,V1), pppp5-{F}(V4,V5,V3), P_k1_zfmisc_1-{F}(V4,V6), P_k1_zfmisc_1-{F}(V6,V7) | P_k3_tarski-{T}(V3,V5)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #2634: mergings( V2 == V3, V3 == V4; #2631 ), references = 1, size of lhs = 6:
% 14.31/14.51 pppp18-{F}(V0), P_k1_xboole_0-{F}(V1), pppp0-{F}(V2), V2 == V1, P_k1_zfmisc_1-{F}(V2,V3), m1_subset_1-{F}(V0,V3) | pppp8-{T}(V0,V1)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #2769: mergings( V3 == V4, V4 == V5, V5 == V6; #2764 ), references = 1, size of lhs = 7:
% 14.31/14.51 pppp0-{F}(V0), pppp19-{F}(V0,V1), P_k1_xboole_0-{F}(V2), V0 == V2, pppp3-{F}(V3,V1), m1_subset_1-{F}(V3,V4), P_k1_zfmisc_1-{F}(V0,V4) | pppp9-{T}(V0,V1,V2)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #2785: mergings( V11 == V13, V14 == V15, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V10; #2775 ), references = 2, size of lhs = 9:
% 14.31/14.51 pppp0-{F}(V0), P_k1_xboole_0-{F}(V1), V0 == V1, r2_hidden-{F}(V1,V0), P_k1_zfmisc_1-{F}(V0,V2), P_k1_zfmisc_1-{F}(V3,V2), pppp2-{F}(V4,V1), P_k1_zfmisc_1-{F}(V2,V5), m1_subset_1-{F}(V4,V5) | P_k3_tarski-{T}(V4,V0)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #2803: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V11, V11 == V14, V14 == V15, V15 == V17; #2791 ), references = 1, size of lhs = 11:
% 14.31/14.51 pppp0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_zfmisc_1-{F}(V2,V1), r1_tarski-{F}(V3,V1), pppp0-{F}(V4), V4 == V0, P_k1_xboole_0-{F}(V5), V0 == V5, r2_hidden-{F}(V5,V0), r2_hidden-{F}(V5,V4), pppp2-{F}(V3,V5) | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #2817: mergings( V0 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V14, V14 == V15, V15 == V17; #2804 ), references = 1, size of lhs = 10:
% 14.31/14.51 pppp0-{F}(V0), P_k1_xboole_0-{F}(V1), r2_hidden-{F}(V1,V0), r2_hidden-{F}(V1,V2), V2 == V1, V0 == V2, P_k1_zfmisc_1-{F}(V2,V3), P_k1_zfmisc_1-{F}(V4,V3), r1_tarski-{F}(V5,V3), pppp2-{F}(V5,V1) | pppp17-{T}(V2,V1)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #2839: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V18, V18 == V19, V19 == V20, V20 == V21; #2823 ), references = 1, size of lhs = 11:
% 14.31/14.51 v1_xboole_0-{F}(V0), P_k1_xboole_0-{F}(V1), r1_tarski-{F}(V1,V0), r2_hidden-{F}(V1,V2), V2 == V1, P_k1_zfmisc_1-{F}(V2,V3), P_k1_zfmisc_1-{F}(V4,V3), r1_tarski-{F}(V5,V3), pppp2-{F}(V5,V1), pppp1-{F}(V6), pppp3-{F}(V6,V2) | P_k1_zfmisc_1-{T}(V0,V2)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #2861: mergings( V3 == V4, V4 == V5, V5 == V9, V9 == V10, V10 == V15; #2855 ), references = 1, size of lhs = 12:
% 14.31/14.51 pppp1-{F}(V0), P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2), P_k1_zfmisc_1-{F}(V3,V2), P_k1_zfmisc_1-{F}(V2,V4), pppp17-{F}(V4,V5), pppp1-{F}(V6), pppp3-{F}(V6,V7), pppp3-{F}(V7,V8), pppp2-{F}(V8,V0), P_k3_tarski-{F}(V8,V9) | pppp7-{T}(V4,V0,V5), pppp7-{T}(V4,V9,V5)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #2868: mergings( V0 == V1, V1 == V2, V2 == V7, V7 == V8, V8 == V13; #2862 ), references = 1, size of lhs = 12:
% 14.31/14.51 pppp1-{F}(V0), P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2), P_k1_zfmisc_1-{F}(V3,V2), P_k1_zfmisc_1-{F}(V2,V4), pppp17-{F}(V4,V0), pppp1-{F}(V5), pppp3-{F}(V5,V6), pppp3-{F}(V6,V7), pppp2-{F}(V7,V0), P_k3_tarski-{F}(V7,V8) | pppp7-{T}(V4,V8,V0)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #2922: exists( #67, #2920 ), references = 2, size of lhs = 40:
% 14.31/14.51 pppp1-{F}(V0), pppp3-{F}(V0,V1), pppp3-{F}(V1,V2), P_k3_tarski-{F}(V2,V3), pppp1-{F}(V4), pppp3-{F}(V4,V5), P_k3_tarski-{F}(V6,V5), pppp1-{F}(V7), pppp3-{F}(V7,V8), pppp3-{F}(V8,V2), pppp2-{F}(V2,V9), r2_hidden-{F}(V9,V5), pppp1-{F}(V9), P_k1_xboole_0-{F}(V9), pppp0-{F}(V9), r2_hidden-{F}(V9,V10), P_k3_tarski-{F}(V11,V10), pppp1-{F}(V12), pppp3-{F}(V12,V10), pppp6-{F}(V9,V13), P_k5_setfam_1-{F}(V13,V9,V9), v1_xboole_0-{F}(V14), P_k1_zfmisc_1-{F}(V14,V15), r1_tarski-{F}(V3,V15), P_k1_zfmisc_1-{F}(V16,V15), v1_xboole_0-{F}(V17), P_k1_zfmisc_1-{F}(V17,V3), v1_xboole_0-{F}(V18), P_k1_zfmisc_1-{F}(V18,V19), r1_tarski-{F}(V5,V19), P_k1_zfmisc_1-{F}(V20,V19), v1_xboole_0-{F}(V21), P_k1_zfmisc_1-{F}(V21,V5), v1_xboole_0-{F}(V22), P_k1_zfmisc_1-{F}(V22,V23), r1_tarski-{F}(V10,V23), P_k1_zfmisc_1-{F}(V24,V23), v1_xboole_0-{F}(V25), P_k1_zfmisc_1-{F}(V25,V10), P_k1_zfmisc_1-{F}(V13,V26) | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #2925: exists( #67, #2923 ), references = 2, size of lhs = 39:
% 14.31/14.51 pppp1-{F}(V0), pppp3-{F}(V0,V1), pppp3-{F}(V1,V2), P_k3_tarski-{F}(V2,V3), pppp1-{F}(V4), pppp3-{F}(V4,V5), P_k3_tarski-{F}(V6,V5), pppp1-{F}(V7), pppp3-{F}(V7,V8), pppp3-{F}(V8,V2), pppp2-{F}(V2,V9), P_k3_tarski-{F}(V9,V9), r2_hidden-{F}(V9,V5), pppp1-{F}(V9), P_k1_xboole_0-{F}(V9), pppp0-{F}(V9), r2_hidden-{F}(V9,V10), P_k3_tarski-{F}(V11,V10), pppp1-{F}(V12), pppp3-{F}(V12,V10), pppp6-{F}(V9,V13), v1_xboole_0-{F}(V14), P_k1_zfmisc_1-{F}(V14,V15), r1_tarski-{F}(V3,V15), P_k1_zfmisc_1-{F}(V16,V15), v1_xboole_0-{F}(V17), P_k1_zfmisc_1-{F}(V17,V3), v1_xboole_0-{F}(V18), P_k1_zfmisc_1-{F}(V18,V19), r1_tarski-{F}(V5,V19), P_k1_zfmisc_1-{F}(V20,V19), v1_xboole_0-{F}(V21), P_k1_zfmisc_1-{F}(V21,V5), v1_xboole_0-{F}(V22), P_k1_zfmisc_1-{F}(V22,V23), r1_tarski-{F}(V10,V23), P_k1_zfmisc_1-{F}(V24,V23), v1_xboole_0-{F}(V25), P_k1_zfmisc_1-{F}(V25,V10) | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #2933: mergings( V2 == V4, V4 == V7, V7 == V11; #2929 ), references = 2, size of lhs = 38:
% 14.31/14.51 pppp0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_zfmisc_1-{F}(V2,V1), r1_tarski-{F}(V3,V1), pppp1-{F}(V4), pppp3-{F}(V4,V0), pppp1-{F}(V5), pppp3-{F}(V5,V0), pppp1-{F}(V6), pppp3-{F}(V6,V0), pppp2-{F}(V3,V7), V0 == V7, P_k3_tarski-{F}(V7,V7), pppp1-{F}(V7), P_k1_xboole_0-{F}(V7), pppp0-{F}(V7), r2_hidden-{F}(V7,V0), pppp1-{F}(V8), pppp3-{F}(V8,V0), pppp6-{F}(V7,V9), v1_xboole_0-{F}(V10), P_k1_zfmisc_1-{F}(V10,V11), r1_tarski-{F}(V0,V11), P_k1_zfmisc_1-{F}(V12,V11), v1_xboole_0-{F}(V13), P_k1_zfmisc_1-{F}(V13,V0), v1_xboole_0-{F}(V14), P_k1_zfmisc_1-{F}(V14,V15), r1_tarski-{F}(V0,V15), P_k1_zfmisc_1-{F}(V16,V15), v1_xboole_0-{F}(V17), P_k1_zfmisc_1-{F}(V17,V0), v1_xboole_0-{F}(V18), P_k1_zfmisc_1-{F}(V18,V19), r1_tarski-{F}(V0,V19), P_k1_zfmisc_1-{F}(V20,V19), v1_xboole_0-{F}(V21), P_k1_zfmisc_1-{F}(V21,V0) | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #2938: mergings( V2 == V4, V4 == V8, V8 == V0; #2934 ), references = 2, size of lhs = 37:
% 14.31/14.51 pppp0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_zfmisc_1-{F}(V2,V1), r1_tarski-{F}(V3,V1), pppp1-{F}(V4), pppp3-{F}(V4,V0), pppp1-{F}(V5), pppp3-{F}(V5,V0), pppp1-{F}(V6), pppp3-{F}(V6,V0), pppp2-{F}(V3,V7), V0 == V7, P_k3_tarski-{F}(V7,V7), pppp1-{F}(V7), P_k1_xboole_0-{F}(V7), pppp0-{F}(V7), r2_hidden-{F}(V7,V0), pppp1-{F}(V8), pppp3-{F}(V8,V0), v1_xboole_0-{F}(V9), P_k1_zfmisc_1-{F}(V9,V10), r1_tarski-{F}(V0,V10), P_k1_zfmisc_1-{F}(V11,V10), v1_xboole_0-{F}(V12), P_k1_zfmisc_1-{F}(V12,V0), v1_xboole_0-{F}(V13), P_k1_zfmisc_1-{F}(V13,V14), r1_tarski-{F}(V0,V14), P_k1_zfmisc_1-{F}(V15,V14), v1_xboole_0-{F}(V16), P_k1_zfmisc_1-{F}(V16,V0), v1_xboole_0-{F}(V17), P_k1_zfmisc_1-{F}(V17,V18), r1_tarski-{F}(V0,V18), P_k1_zfmisc_1-{F}(V19,V18), v1_xboole_0-{F}(V20), P_k1_zfmisc_1-{F}(V20,V0) | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #2990: mergings( V2 == V3, V3 == V6, V6 == V7; #2985 ), references = 1, size of lhs = 33:
% 14.31/14.51 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_zfmisc_1-{F}(V2,V1), pppp1-{F}(V3), P_k3_tarski-{F}(V3,V3), P_k1_xboole_0-{F}(V3), pppp0-{F}(V3), r2_hidden-{F}(V3,V4), r1_tarski-{F}(V4,V1), P_k3_tarski-{F}(V5,V4), pppp3-{F}(V4,V6), pppp2-{F}(V6,V3), P_k3_tarski-{F}(V6,V7), P_k3_tarski-{F}(V8,V4), pppp6-{F}(V3,V9), v1_xboole_0-{F}(V10), P_k1_zfmisc_1-{F}(V10,V11), r1_tarski-{F}(V7,V11), P_k1_zfmisc_1-{F}(V12,V11), v1_xboole_0-{F}(V13), P_k1_zfmisc_1-{F}(V13,V7), v1_xboole_0-{F}(V14), P_k1_zfmisc_1-{F}(V14,V15), r1_tarski-{F}(V4,V15), P_k1_zfmisc_1-{F}(V16,V15), v1_xboole_0-{F}(V17), P_k1_zfmisc_1-{F}(V17,V4), v1_xboole_0-{F}(V18), P_k1_zfmisc_1-{F}(V18,V19), r1_tarski-{F}(V4,V19), P_k1_zfmisc_1-{F}(V20,V19), v1_xboole_0-{F}(V21), P_k1_zfmisc_1-{F}(V21,V4) | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #2994: mergings( V2 == V3, V3 == V6, V6 == V7; #2986 ), references = 1, size of lhs = 34:
% 14.31/14.51 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), P_k1_zfmisc_1-{F}(V2,V1), pppp1-{F}(V3), P_k1_xboole_0-{F}(V3), pppp0-{F}(V3), r2_hidden-{F}(V3,V4), r1_tarski-{F}(V4,V1), P_k3_tarski-{F}(V5,V4), pppp3-{F}(V4,V6), pppp2-{F}(V6,V3), P_k3_tarski-{F}(V6,V7), P_k3_tarski-{F}(V8,V4), pppp6-{F}(V3,V9), P_k5_setfam_1-{F}(V9,V3,V3), v1_xboole_0-{F}(V10), P_k1_zfmisc_1-{F}(V10,V11), r1_tarski-{F}(V7,V11), P_k1_zfmisc_1-{F}(V12,V11), v1_xboole_0-{F}(V13), P_k1_zfmisc_1-{F}(V13,V7), v1_xboole_0-{F}(V14), P_k1_zfmisc_1-{F}(V14,V15), r1_tarski-{F}(V4,V15), P_k1_zfmisc_1-{F}(V16,V15), v1_xboole_0-{F}(V17), P_k1_zfmisc_1-{F}(V17,V4), v1_xboole_0-{F}(V18), P_k1_zfmisc_1-{F}(V18,V19), r1_tarski-{F}(V4,V19), P_k1_zfmisc_1-{F}(V20,V19), v1_xboole_0-{F}(V21), P_k1_zfmisc_1-{F}(V21,V4), P_k1_zfmisc_1-{F}(V9,V22) | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #3060: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V9, V9 == V10; #3052 ), references = 1, size of lhs = 29:
% 14.31/14.51 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), pppp0-{F}(V1), r1_tarski-{F}(V1,V1), P_k1_zfmisc_1-{F}(V2,V1), pppp1-{F}(V3), V1 == V3, P_k3_tarski-{F}(V3,V3), P_k1_xboole_0-{F}(V3), pppp0-{F}(V3), r2_hidden-{F}(V3,V1), v1_xboole_0-{F}(V4), P_k1_zfmisc_1-{F}(V4,V5), r1_tarski-{F}(V1,V5), P_k1_zfmisc_1-{F}(V6,V5), v1_xboole_0-{F}(V7), P_k1_zfmisc_1-{F}(V7,V1), v1_xboole_0-{F}(V8), P_k1_zfmisc_1-{F}(V8,V9), r1_tarski-{F}(V1,V9), P_k1_zfmisc_1-{F}(V10,V9), v1_xboole_0-{F}(V11), P_k1_zfmisc_1-{F}(V11,V1), v1_xboole_0-{F}(V12), P_k1_zfmisc_1-{F}(V12,V13), r1_tarski-{F}(V1,V13), P_k1_zfmisc_1-{F}(V14,V13), v1_xboole_0-{F}(V15), P_k1_zfmisc_1-{F}(V15,V1) | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #3067: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V9, V9 == V10; #3053 ), references = 1, size of lhs = 30:
% 14.31/14.51 v1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V0,V1), pppp0-{F}(V1), r1_tarski-{F}(V1,V1), P_k1_zfmisc_1-{F}(V2,V1), pppp1-{F}(V3), V1 == V3, P_k3_tarski-{F}(V3,V3), P_k1_xboole_0-{F}(V3), pppp0-{F}(V3), r2_hidden-{F}(V3,V1), pppp6-{F}(V3,V4), v1_xboole_0-{F}(V5), P_k1_zfmisc_1-{F}(V5,V6), r1_tarski-{F}(V1,V6), P_k1_zfmisc_1-{F}(V7,V6), v1_xboole_0-{F}(V8), P_k1_zfmisc_1-{F}(V8,V1), v1_xboole_0-{F}(V9), P_k1_zfmisc_1-{F}(V9,V10), r1_tarski-{F}(V1,V10), P_k1_zfmisc_1-{F}(V11,V10), v1_xboole_0-{F}(V12), P_k1_zfmisc_1-{F}(V12,V1), v1_xboole_0-{F}(V13), P_k1_zfmisc_1-{F}(V13,V14), r1_tarski-{F}(V1,V14), P_k1_zfmisc_1-{F}(V15,V14), v1_xboole_0-{F}(V16), P_k1_zfmisc_1-{F}(V16,V1) | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #3090: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12; #3078 ), references = 1, size of lhs = 5:
% 14.31/14.51 pppp1-{F}(V0), P_k1_xboole_0-{F}(V0), pppp0-{F}(V0), r1_tarski-{F}(V0,V1), v1_xboole_0-{F}(V1) | P_k1_zfmisc_1-{T}(V1,V0)
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 #3097: exists( #69, #3095 ), references = 1, size of lhs = 0:
% 14.31/14.51 FALSE | FALSE
% 14.31/14.51 (used 0 times, uses = {})
% 14.31/14.51
% 14.31/14.51 number of learnt formulas = 96
% 14.31/14.51
% 14.31/14.51
% 14.31/14.51 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.31/14.51
% 14.31/14.51 randbase = 1
%------------------------------------------------------------------------------