TSTP Solution File: ALG216+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : ALG216+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n026.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 05:57:23 EDT 2022

% Result   : Theorem 52.09s 52.24s
% Output   : Refutation 52.09s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : ALG216+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33  % Computer : n026.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Fri Jul 22 11:26:20 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 52.09/52.24  GeoParameters:
% 52.09/52.24  
% 52.09/52.24  tptp_input =     1
% 52.09/52.24  tptp_output =    0
% 52.09/52.24  nonempty =       1
% 52.09/52.24  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 52.09/52.24  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 52.09/52.24  
% 52.09/52.24  
% 52.09/52.24  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 52.09/52.24  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 52.09/52.24  
% 52.09/52.24  RuleSystem INPUT:
% 52.09/52.24  
% 52.09/52.24  Initial Rules:
% 52.09/52.24  #0: input, references = 4, size of lhs = 0:
% 52.09/52.24     FALSE | EXISTS V0: pppp4-{T}(V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #1: input, references = 7, size of lhs = 3:
% 52.09/52.24     pppp4-{F}(V0), P_k1_rlvect_1-{F}(V0,V1), P_k2_group_1-{F}(V0,V2) | pppp3-{T}(V0,V1,V2)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #2: input, references = 5, size of lhs = 1:
% 52.09/52.24     pppp3-{F}(V0,V1,V2) | EXISTS V3: pppp2-{T}(V0,V1,V2,V3)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #3: input, references = 6, size of lhs = 1:
% 52.09/52.24     pppp3-{F}(V0,V1,V2) | l3_vectsp_1-{T}(V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #4: input, references = 4, size of lhs = 1:
% 52.09/52.24     pppp3-{F}(V0,V1,V2) | v8_vectsp_1-{T}(V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #5: input, references = 4, size of lhs = 1:
% 52.09/52.24     pppp3-{F}(V0,V1,V2) | v7_vectsp_1-{T}(V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #6: input, references = 4, size of lhs = 1:
% 52.09/52.24     pppp3-{F}(V0,V1,V2) | v6_vectsp_1-{T}(V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #7: input, references = 4, size of lhs = 1:
% 52.09/52.24     pppp3-{F}(V0,V1,V2) | v4_group_1-{T}(V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #8: input, references = 4, size of lhs = 1:
% 52.09/52.24     pppp3-{F}(V0,V1,V2) | v6_rlvect_1-{T}(V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #9: input, references = 4, size of lhs = 1:
% 52.09/52.24     pppp3-{F}(V0,V1,V2) | v5_rlvect_1-{T}(V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #10: input, references = 4, size of lhs = 1:
% 52.09/52.24     pppp3-{F}(V0,V1,V2) | v4_rlvect_1-{T}(V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #11: input, references = 4, size of lhs = 1:
% 52.09/52.24     pppp3-{F}(V0,V1,V2) | v3_rlvect_1-{T}(V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #12: input, references = 5, size of lhs = 2:
% 52.09/52.24     pppp3-{F}(V0,V1,V2), v3_struct_0-{F}(V0) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #13: input, references = 5, size of lhs = 3:
% 52.09/52.24     pppp2-{F}(V0,V1,V2,V3), P_u1_struct_0-{F}(V3,V4), P_k1_rlvect_1-{F}(V3,V5) | pppp1-{T}(V0,V3,V1,V2,V4,V5)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #14: input, references = 4, size of lhs = 1:
% 52.09/52.24     pppp1-{F}(V0,V1,V2,V3,V4,V5) | EXISTS V6: pppp0-{T}(V0,V1,V6,V4,V5)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #15: input, references = 4, size of lhs = 1:
% 52.09/52.24     pppp1-{F}(V0,V1,V3,V3,V4,V5) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #16: input, references = 4, size of lhs = 1:
% 52.09/52.24     pppp1-{F}(V0,V1,V2,V3,V4,V5) | l1_vectsp_2-{T}(V1,V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #17: input, references = 4, size of lhs = 1:
% 52.09/52.24     pppp1-{F}(V0,V1,V2,V3,V4,V5) | v5_vectsp_2-{T}(V1,V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #18: input, references = 4, size of lhs = 1:
% 52.09/52.24     pppp1-{F}(V0,V1,V2,V3,V4,V5) | v6_rlvect_1-{T}(V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #19: input, references = 4, size of lhs = 1:
% 52.09/52.24     pppp1-{F}(V0,V1,V2,V3,V4,V5) | v5_rlvect_1-{T}(V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #20: input, references = 4, size of lhs = 1:
% 52.09/52.24     pppp1-{F}(V0,V1,V2,V3,V4,V5) | v4_rlvect_1-{T}(V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #21: input, references = 4, size of lhs = 1:
% 52.09/52.24     pppp1-{F}(V0,V1,V2,V3,V4,V5) | v3_rlvect_1-{T}(V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #22: input, references = 6, size of lhs = 2:
% 52.09/52.24     pppp1-{F}(V0,V1,V2,V3,V4,V5), v3_struct_0-{F}(V1) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #23: input, references = 4, size of lhs = 3:
% 52.09/52.24     pppp0-{F}(V0,V1,V2,V3,V4), P_k8_rlvect_2-{F}(V1,V2,V4,V5), P_k8_rlvect_2-{F}(V1,V4,V2,V6) | v1_rmod_5-{T}(V5,V0,V1), v1_rmod_5-{T}(V6,V0,V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #24: input, references = 9, size of lhs = 3:
% 52.09/52.24     pppp0-{F}(V0,V1,V2,V3,V4), P_k8_rlvect_2-{F}(V1,V2,V4,V5), P_k8_rlvect_2-{F}(V1,V4,V2,V6) | m1_subset_1-{T}(V2,V3)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #25: input, references = 6, size of lhs = 2:
% 52.09/52.24     r2_hidden-{F}(V0,V1), r2_hidden-{F}(V1,V0) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #26: input, references = 3, size of lhs = 1:
% 52.09/52.24     P_k1_xboole_0-{F}(V0) | v1_xboole_0-{T}(V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #27: input, references = 3, size of lhs = 2:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2) | m1_subset_1-{T}(V1,V2)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #28: input, references = 11, size of lhs = 4:
% 52.09/52.24     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)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #29: input, references = 7, size of lhs = 5:
% 52.09/52.24     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
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #30: input, references = 3, size of lhs = 2:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), #-{F} V1 | r1_tarski-{T}(V1,V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #31: input, references = 3, size of lhs = 1:
% 52.09/52.24     P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #32: input, references = 3, size of lhs = 1:
% 52.09/52.24     pppp5-{F}(V0) | l1_vectsp_1-{T}(V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #33: input, references = 3, size of lhs = 2:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), l1_vectsp_1-{F}(V1) | l1_group_1-{T}(V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #34: input, references = 4, size of lhs = 2:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2) | v1_xboole_0-{T}(V1), pppp23-{T}(V2)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #35: input, references = 3, size of lhs = 1:
% 52.09/52.24     pppp23-{F}(V0) | EXISTS V1: pppp6-{T}(V1,V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #36: input, references = 3, size of lhs = 2:
% 52.09/52.24     pppp6-{F}(V0,V1), v1_xboole_0-{F}(V0) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #37: input, references = 3, size of lhs = 1:
% 52.09/52.24     pppp6-{F}(V0,V1) | m1_subset_1-{T}(V0,V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #38: input, references = 4, size of lhs = 1:
% 52.09/52.24     P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #39: input, references = 5, size of lhs = 1:
% 52.09/52.24     pppp7-{F}(V0) | v1_xboole_0-{T}(V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #40: input, references = 5, size of lhs = 4:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), l1_struct_0-{F}(V1) | v3_struct_0-{T}(V1), pppp24-{T}(V3)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #41: input, references = 3, size of lhs = 1:
% 52.09/52.24     pppp24-{F}(V0) | EXISTS V1: pppp8-{T}(V1,V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #42: input, references = 3, size of lhs = 1:
% 52.09/52.24     pppp8-{F}(V0,V1) | v1_finset_1-{T}(V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #43: input, references = 3, size of lhs = 2:
% 52.09/52.24     pppp8-{F}(V0,V1), v1_xboole_0-{F}(V0) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #44: input, references = 3, size of lhs = 1:
% 52.09/52.24     pppp8-{F}(V0,V1) | m1_subset_1-{T}(V0,V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #45: input, references = 4, size of lhs = 2:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2) | EXISTS V3: pppp9-{T}(V3,V2)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #46: input, references = 5, size of lhs = 1:
% 52.09/52.24     pppp9-{F}(V0,V1) | v1_xboole_0-{T}(V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #47: input, references = 3, size of lhs = 1:
% 52.09/52.24     pppp9-{F}(V0,V1) | m1_subset_1-{T}(V0,V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #48: input, references = 3, size of lhs = 1:
% 52.09/52.24     P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #49: input, references = 3, size of lhs = 2:
% 52.09/52.24     pppp10-{F}(V0), v1_xboole_0-{F}(V0) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #50: input, references = 5, size of lhs = 4:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), l1_struct_0-{F}(V1) | v3_struct_0-{T}(V1), pppp25-{T}(V3)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #51: input, references = 3, size of lhs = 1:
% 52.09/52.24     pppp25-{F}(V0) | EXISTS V1: pppp11-{T}(V1,V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #52: input, references = 3, size of lhs = 2:
% 52.09/52.24     pppp11-{F}(V0,V1), v1_xboole_0-{F}(V0) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #53: input, references = 3, size of lhs = 1:
% 52.09/52.24     pppp11-{F}(V0,V1) | m1_subset_1-{T}(V0,V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #54: input, references = 4, size of lhs = 2:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V2,V1) | v1_xboole_0-{T}(V1), r2_hidden-{T}(V2,V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #55: input, references = 5, size of lhs = 3:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V1 == V0 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #56: input, references = 3, size of lhs = 3:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), r2_hidden-{F}(V2,V1) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #57: input, references = 5, size of lhs = 4:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), v1_xboole_0-{F}(V2), V2 == V1 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #58: input, references = 4, size of lhs = 4:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), P_k2_tarski-{F}(V1,V2,V3), P_k2_tarski-{F}(V2,V1,V4), V3 == V4 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #59: input, references = 3, size of lhs = 1:
% 52.09/52.24     P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #60: input, references = 3, size of lhs = 1:
% 52.09/52.24     pppp12-{F}(V0) | l1_group_1-{T}(V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #61: input, references = 3, size of lhs = 1:
% 52.09/52.24     P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #62: input, references = 3, size of lhs = 1:
% 52.09/52.24     pppp13-{F}(V0) | l1_rlvect_1-{T}(V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #63: input, references = 3, size of lhs = 1:
% 52.09/52.24     P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #64: input, references = 3, size of lhs = 1:
% 52.09/52.24     pppp14-{F}(V0) | l1_struct_0-{T}(V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #65: input, references = 3, size of lhs = 1:
% 52.09/52.24     P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #66: input, references = 3, size of lhs = 1:
% 52.09/52.24     pppp15-{F}(V0) | l2_struct_0-{T}(V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #67: input, references = 3, size of lhs = 1:
% 52.09/52.24     P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp16-{T}(V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #68: input, references = 3, size of lhs = 1:
% 52.09/52.24     pppp16-{F}(V0) | l2_vectsp_1-{T}(V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #69: input, references = 3, size of lhs = 2:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), l1_group_1-{F}(V1) | l1_struct_0-{T}(V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #70: input, references = 7, size of lhs = 2:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), l1_rlvect_1-{F}(V1) | l2_struct_0-{T}(V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #71: input, references = 6, size of lhs = 2:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), l2_struct_0-{F}(V1) | l1_struct_0-{T}(V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #72: input, references = 3, size of lhs = 2:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), l2_vectsp_1-{F}(V1) | l1_vectsp_1-{T}(V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #73: input, references = 3, size of lhs = 2:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), l2_vectsp_1-{F}(V1) | l2_struct_0-{T}(V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #74: input, references = 4, size of lhs = 4:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), P_u1_struct_0-{F}(V1,V2), l1_struct_0-{F}(V1), v1_xboole_0-{F}(V2) | v3_struct_0-{T}(V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #75: input, references = 3, size of lhs = 3:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), v1_xboole_0-{F}(V2) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #76: input, references = 3, size of lhs = 3:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), P_k2_tarski-{F}(V1,V2,V3), v1_xboole_0-{F}(V3) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #77: input, references = 3, size of lhs = 1:
% 52.09/52.24     P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp17-{T}(V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #78: input, references = 3, size of lhs = 2:
% 52.09/52.24     pppp17-{F}(V0), v3_struct_0-{F}(V0) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #79: input, references = 3, size of lhs = 1:
% 52.09/52.24     pppp17-{F}(V0) | l1_struct_0-{T}(V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #80: input, references = 3, size of lhs = 1:
% 52.09/52.24     P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp18-{T}(V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #81: input, references = 4, size of lhs = 2:
% 52.09/52.24     pppp18-{F}(V0), v3_struct_0-{F}(V0) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #82: input, references = 3, size of lhs = 1:
% 52.09/52.24     pppp18-{F}(V0) | l2_struct_0-{T}(V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #83: input, references = 3, size of lhs = 2:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), l1_struct_0-{F}(V1) | EXISTS V2: pppp19-{T}(V1,V2)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #84: input, references = 6, size of lhs = 2:
% 52.09/52.24     pppp19-{F}(V0,V1), v3_struct_0-{F}(V1) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #85: input, references = 3, size of lhs = 1:
% 52.09/52.24     pppp19-{F}(V0,V1) | l1_vectsp_2-{T}(V1,V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #86: input, references = 3, size of lhs = 3:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V2,V3), m1_subset_1-{F}(V1,V3) | r1_tarski-{T}(V1,V2)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #87: input, references = 3, size of lhs = 3:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V2,V3), r1_tarski-{F}(V1,V2) | m1_subset_1-{T}(V1,V3)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #88: input, references = 3, size of lhs = 8:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), P_u1_struct_0-{F}(V1,V2), l1_struct_0-{F}(V1), m1_subset_1-{F}(V3,V2), P_k8_rlvect_2-{F}(V1,V4,V3,V5), P_k8_rlvect_2-{F}(V1,V3,V4,V6), m1_subset_1-{F}(V4,V2), V5 == V6 | v3_struct_0-{T}(V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #89: input, references = 3, size of lhs = 2:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), l1_struct_0-{F}(V1) | EXISTS V2: pppp20-{T}(V1,V2)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #90: input, references = 3, size of lhs = 1:
% 52.09/52.24     pppp20-{F}(V0,V1) | l1_vectsp_2-{T}(V1,V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #91: input, references = 3, size of lhs = 1:
% 52.09/52.24     P_k1_xboole_0-{F}(V0) | EXISTS V1: pppp21-{T}(V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #92: input, references = 3, size of lhs = 1:
% 52.09/52.24     pppp21-{F}(V0) | l3_vectsp_1-{T}(V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #93: input, references = 5, size of lhs = 2:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), #-{F} V1 | EXISTS V2: pppp22-{T}(V1,V2)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #94: input, references = 5, size of lhs = 1:
% 52.09/52.24     pppp22-{F}(V0,V1) | m1_subset_1-{T}(V1,V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #95: input, references = 7, size of lhs = 8:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), P_u1_struct_0-{F}(V1,V2), l1_struct_0-{F}(V1), m1_subset_1-{F}(V3,V2), P_k8_rlvect_2-{F}(V1,V4,V3,V5), P_k2_tarski-{F}(V4,V3,V6), m1_subset_1-{F}(V4,V2), V5 == V6 | v3_struct_0-{T}(V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #96: input, references = 7, size of lhs = 4:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), P_k1_rlvect_1-{F}(V1,V2), P_u1_struct_0-{F}(V1,V3), l2_struct_0-{F}(V1) | m1_subset_1-{T}(V2,V3)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #97: input, references = 4, size of lhs = 4:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), P_k2_group_1-{F}(V1,V2), P_u1_struct_0-{F}(V1,V3), l1_group_1-{F}(V1) | v3_struct_0-{T}(V1), m1_subset_1-{T}(V2,V3)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #98: input, references = 5, size of lhs = 7:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), l1_struct_0-{F}(V1), m1_subset_1-{F}(V4,V2), P_k8_rlvect_2-{F}(V1,V5,V4,V6), m1_subset_1-{F}(V5,V2) | v3_struct_0-{T}(V1), v1_finset_1-{T}(V6)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #99: input, references = 6, size of lhs = 7:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), l1_struct_0-{F}(V1), m1_subset_1-{F}(V4,V2), P_k8_rlvect_2-{F}(V1,V5,V4,V6), m1_subset_1-{F}(V5,V2) | v3_struct_0-{T}(V1), m1_subset_1-{T}(V6,V3)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #100: input, references = 4, size of lhs = 3:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), l1_struct_0-{F}(V1), l1_vectsp_2-{F}(V2,V1) | l1_rlvect_1-{T}(V2)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #101: input, references = 6, size of lhs = 2:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), l3_vectsp_1-{F}(V1) | l1_rlvect_1-{T}(V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #102: input, references = 3, size of lhs = 2:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), l3_vectsp_1-{F}(V1) | l2_vectsp_1-{T}(V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #103: input, references = 4, size of lhs = 25:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), P_k1_rlvect_1-{F}(V1,V2), P_k2_group_1-{F}(V1,V3), v3_rlvect_1-{F}(V1), v4_rlvect_1-{F}(V1), v5_rlvect_1-{F}(V1), v6_rlvect_1-{F}(V1), v4_group_1-{F}(V1), v6_vectsp_1-{F}(V1), v7_vectsp_1-{F}(V1), v8_vectsp_1-{F}(V1), l3_vectsp_1-{F}(V1), P_u1_struct_0-{F}(V4,V5), P_k1_rlvect_1-{F}(V4,V6), v3_rlvect_1-{F}(V4), v4_rlvect_1-{F}(V4), v5_rlvect_1-{F}(V4), v6_rlvect_1-{F}(V4), v5_vectsp_2-{F}(V4,V1), l1_vectsp_2-{F}(V4,V1), m1_subset_1-{F}(V6,V5), P_k8_rlvect_2-{F}(V4,V6,V8,V9), m1_subset_1-{F}(V8,V5), v1_rmod_5-{F}(V9,V1,V4), V2 == V3 | v3_struct_0-{T}(V1), v3_struct_0-{T}(V4)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #104: input, references = 3, size of lhs = 25:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), P_k1_rlvect_1-{F}(V1,V2), P_k2_group_1-{F}(V1,V3), v3_rlvect_1-{F}(V1), v4_rlvect_1-{F}(V1), v5_rlvect_1-{F}(V1), v6_rlvect_1-{F}(V1), v4_group_1-{F}(V1), v6_vectsp_1-{F}(V1), v7_vectsp_1-{F}(V1), v8_vectsp_1-{F}(V1), l3_vectsp_1-{F}(V1), P_u1_struct_0-{F}(V4,V5), P_k1_rlvect_1-{F}(V4,V6), v3_rlvect_1-{F}(V4), v4_rlvect_1-{F}(V4), v5_rlvect_1-{F}(V4), v6_rlvect_1-{F}(V4), v5_vectsp_2-{F}(V4,V1), l1_vectsp_2-{F}(V4,V1), m1_subset_1-{F}(V7,V5), P_k8_rlvect_2-{F}(V4,V7,V6,V9), m1_subset_1-{F}(V6,V5), v1_rmod_5-{F}(V9,V1,V4), V2 == V3 | v3_struct_0-{T}(V1), v3_struct_0-{T}(V4)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #105: input, references = 5, size of lhs = 1:
% 52.09/52.24     #-{F} V0 | EXISTS V1: P_u1_struct_0-{T}(V0,V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #106: input, references = 9, size of lhs = 1:
% 52.09/52.24     #-{F} V0 | EXISTS V1: P_k1_rlvect_1-{T}(V0,V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #107: input, references = 6, size of lhs = 1:
% 52.09/52.24     #-{F} V0 | EXISTS V1: P_k2_group_1-{T}(V0,V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #108: input, references = 13, size of lhs = 3:
% 52.09/52.24     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_k8_rlvect_2-{T}(V0,V1,V2,V3)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #109: input, references = 4, size of lhs = 0:
% 52.09/52.24     FALSE | EXISTS V0: P_k1_xboole_0-{T}(V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #110: input, references = 3, size of lhs = 1:
% 52.09/52.24     #-{F} V0 | EXISTS V1: P_k1_zfmisc_1-{T}(V0,V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #111: input, references = 5, size of lhs = 2:
% 52.09/52.24     #-{F} V0, #-{F} V1 | EXISTS V2: P_k2_tarski-{T}(V0,V1,V2)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  number of initial rules = 112
% 52.09/52.24  
% 52.09/52.24  Simplifiers:
% 52.09/52.24  #112: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     v4_group_1-{F}(V0), v4_group_1-{F}(V1), V0 == V1 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #113: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     v6_vectsp_1-{F}(V0), v6_vectsp_1-{F}(V1), V0 == V1 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #114: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     v7_vectsp_1-{F}(V0), v7_vectsp_1-{F}(V1), V0 == V1 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #115: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     v8_vectsp_1-{F}(V0), v8_vectsp_1-{F}(V1), V0 == V1 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #116: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     v5_vectsp_2-{F}(V0,V1), v5_vectsp_2-{F}(V2,V3), V1 == V3 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #117: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     v1_rmod_5-{F}(V0,V1,V2), v1_rmod_5-{F}(V3,V4,V5), V1 == V4 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #118: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     P_k1_rlvect_1-{F}(V0,V1), P_k1_rlvect_1-{F}(V0,V3), V1 == V3 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #119: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     P_k2_group_1-{F}(V0,V1), P_k2_group_1-{F}(V0,V3), V1 == V3 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #120: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     P_u1_struct_0-{F}(V0,V1), P_u1_struct_0-{F}(V0,V3), V1 == V3 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #121: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     P_k8_rlvect_2-{F}(V0,V1,V2,V3), P_k8_rlvect_2-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #122: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), P_k1_xboole_0-{F}(V1), V0 == V1 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #123: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     P_k1_zfmisc_1-{F}(V0,V1), P_k1_zfmisc_1-{F}(V0,V3), V1 == V3 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #124: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     P_k2_tarski-{F}(V0,V1,V2), P_k2_tarski-{F}(V0,V1,V5), V2 == V5 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #125: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V0,V1,V7,V3,V4), V2 == V7 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #126: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #127: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V5,V1,V7,V8,V9), V3 == V8 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #128: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V5,V1,V7,V8,V9), V4 == V9 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #129: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp1-{F}(V0,V1,V2,V3,V4,V5), pppp1-{F}(V0,V7,V2,V3,V10,V11), V1 == V7 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #130: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp1-{F}(V0,V1,V2,V3,V4,V5), pppp1-{F}(V6,V7,V8,V9,V10,V11), V0 == V6 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #131: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp1-{F}(V0,V1,V2,V3,V4,V5), pppp1-{F}(V0,V7,V8,V9,V10,V11), V2 == V8 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #132: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp1-{F}(V0,V1,V2,V3,V4,V5), pppp1-{F}(V0,V7,V8,V9,V10,V11), V3 == V9 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #133: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp1-{F}(V0,V1,V2,V3,V4,V5), pppp1-{F}(V6,V1,V8,V9,V10,V11), V4 == V10 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #134: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp1-{F}(V0,V1,V2,V3,V4,V5), pppp1-{F}(V6,V1,V8,V9,V10,V11), V5 == V11 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #135: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #136: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #137: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V5,V6,V7), V1 == V5 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #138: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V5,V6,V7), V2 == V6 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #139: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V0 == V3 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #140: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V4,V5), V1 == V4 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #141: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V4,V5), V2 == V5 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #142: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #143: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #144: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #145: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #146: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #147: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp9-{F}(V0,V1), pppp9-{F}(V2,V1), V0 == V2 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #148: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #149: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #150: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #151: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #152: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #153: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #154: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #155: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #156: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #157: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp19-{F}(V0,V1), pppp19-{F}(V0,V3), V1 == V3 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #158: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp20-{F}(V0,V1), pppp20-{F}(V0,V3), V1 == V3 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #159: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp21-{F}(V0), pppp21-{F}(V1), V0 == V1 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #160: unsound, references = 3, size of lhs = 3:
% 52.09/52.24     pppp22-{F}(V0,V1), pppp22-{F}(V0,V3), V1 == V3 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  number of simplifiers = 49
% 52.09/52.24  
% 52.09/52.24  Learnt:
% 52.09/52.24  #167: mergings( V0 == V2; #164 ), references = 1, size of lhs = 1:
% 52.09/52.24     P_k1_xboole_0-{F}(V0) | pppp7-{T}(V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #169: mergings( V0 == V2; #165 ), references = 1, size of lhs = 2:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1) | pppp7-{T}(V1)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #171: exists( #111, #58 ), references = 3, size of lhs = 2:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), P_k2_tarski-{F}(V1,V2,V3) | P_k2_tarski-{T}(V2,V1,V3)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #174: exists( #108, #172 ), references = 1, size of lhs = 7:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), l1_struct_0-{F}(V1), P_u1_struct_0-{F}(V1,V2), m1_subset_1-{F}(V3,V2), m1_subset_1-{F}(V4,V2), P_k2_tarski-{F}(V4,V3,V5), pppp3-{F}(V1,V6,V7) | P_k8_rlvect_2-{T}(V1,V4,V3,V5)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #183: mergings( V0 == V3; #179 ), references = 1, size of lhs = 3:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2), V1 == V0 | pppp23-{T}(V2)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #186: mergings( V0 == V3, V1 == V3; #180 ), references = 1, size of lhs = 4:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V0 == V1, P_k1_zfmisc_1-{F}(V0,V2) | pppp23-{T}(V2)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #189: mergings( V0 == V3, V1 == V3; #181 ), references = 1, size of lhs = 3:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V0), P_k1_zfmisc_1-{F}(V0,V2) | pppp23-{T}(V2)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #200: mergings( V3 == V4, V4 == V5, V5 == V6; #196 ), references = 1, size of lhs = 5:
% 52.09/52.24     pppp4-{F}(V0), P_k1_rlvect_1-{F}(V0,V1), P_k1_xboole_0-{F}(V2), v1_xboole_0-{F}(V3), P_u1_struct_0-{F}(V0,V3) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #205: mergings( V2 == V3, V3 == V4, V4 == V5; #201 ), references = 1, size of lhs = 4:
% 52.09/52.24     pppp4-{F}(V0), P_k1_xboole_0-{F}(V1), v1_xboole_0-{F}(V2), P_u1_struct_0-{F}(V0,V2) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #214: mergings( V0 == V3; #210 ), references = 6, size of lhs = 3:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V1,V2), V2 == V0 | r2_hidden-{T}(V1,V2)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #217: mergings( V0 == V3, V2 == V3; #211 ), references = 1, size of lhs = 3:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), m1_subset_1-{F}(V1,V0), P_k1_zfmisc_1-{F}(V2,V0) | r2_hidden-{T}(V1,V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #220: mergings( V0 == V3, V2 == V3; #212 ), references = 1, size of lhs = 4:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), V0 == V1, m1_subset_1-{F}(V2,V0) | r2_hidden-{T}(V2,V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #232: mergings( V2 == V7, V3 == V4, V4 == V5, V5 == V6; #227 ), references = 1, size of lhs = 6:
% 52.09/52.24     pppp4-{F}(V0), P_k1_xboole_0-{F}(V1), P_k1_rlvect_1-{F}(V0,V2), P_u1_struct_0-{F}(V0,V3), V3 == V1, r2_hidden-{F}(V3,V2) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #245: exists( #108, #243 ), references = 1, size of lhs = 7:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), l1_struct_0-{F}(V1), pppp18-{F}(V1), P_u1_struct_0-{F}(V1,V2), m1_subset_1-{F}(V3,V2), m1_subset_1-{F}(V4,V2), P_k2_tarski-{F}(V4,V3,V5) | P_k8_rlvect_2-{T}(V1,V4,V3,V5)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #256: mergings( V0 == V4; #253 ), references = 1, size of lhs = 2:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), P_k1_zfmisc_1-{F}(V1,V2) | pppp9-{T}(V0,V2)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #258: mergings( V0 == V4; #254 ), references = 1, size of lhs = 3:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V2,V3) | pppp9-{T}(V1,V3)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #264: disj( #97, input ), references = 1, size of lhs = 5:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), l1_group_1-{F}(V1), P_k2_group_1-{F}(V1,V2), P_u1_struct_0-{F}(V1,V3), pppp3-{F}(V1,V4,V5) | m1_subset_1-{T}(V2,V3)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #265: disj( #97, input ), references = 1, size of lhs = 5:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), l1_group_1-{F}(V1), pppp18-{F}(V1), P_k2_group_1-{F}(V1,V2), P_u1_struct_0-{F}(V1,V3) | m1_subset_1-{T}(V2,V3)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #306: mergings( V2 == V4, V4 == V5; #303 ), references = 2, size of lhs = 7:
% 52.09/52.24     l2_struct_0-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_xboole_0-{F}(V2), V1 == V2, v1_xboole_0-{F}(V3), P_k1_zfmisc_1-{F}(V3,V4), m1_subset_1-{F}(V1,V4) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #320: mergings( V0 == V3, V3 == V4; #317 ), references = 5, size of lhs = 5:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2), m1_subset_1-{F}(V3,V2), V3 == V0 | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #342: disj( #50, input ), references = 1, size of lhs = 5:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), l1_struct_0-{F}(V1), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), pppp3-{F}(V1,V4,V5) | pppp25-{T}(V3)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #343: disj( #50, input ), references = 1, size of lhs = 5:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), l1_struct_0-{F}(V1), pppp17-{F}(V1), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3) | pppp25-{T}(V3)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #344: disj( #50, input ), references = 1, size of lhs = 5:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), l1_struct_0-{F}(V1), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), pppp1-{F}(V4,V1,V5,V6,V7,V8) | pppp25-{T}(V3)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #359: mergings( V0 == V3; #357 ), references = 1, size of lhs = 3:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2) | pppp22-{T}(V2,V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #365: mergings( V2 == V4; #363 ), references = 1, size of lhs = 5:
% 52.09/52.24     l2_struct_0-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_xboole_0-{F}(V2), v1_xboole_0-{F}(V3), P_k1_zfmisc_1-{F}(V3,V1) | P_k1_rlvect_1-{T}(V0,V2)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #375: disj( #40, input ), references = 1, size of lhs = 5:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), l1_struct_0-{F}(V1), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), pppp3-{F}(V1,V4,V5) | pppp24-{T}(V3)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #405: disj( #98, input ), references = 1, size of lhs = 8:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), l1_struct_0-{F}(V1), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), m1_subset_1-{F}(V4,V2), m1_subset_1-{F}(V5,V2), P_k8_rlvect_2-{F}(V1,V5,V4,V6), pppp3-{F}(V1,V7,V8) | v1_finset_1-{T}(V6)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #422: exists( #108, #420 ), references = 1, size of lhs = 7:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), l1_struct_0-{F}(V1), P_u1_struct_0-{F}(V1,V2), m1_subset_1-{F}(V3,V2), m1_subset_1-{F}(V4,V2), P_k2_tarski-{F}(V4,V3,V5), pppp19-{F}(V6,V1) | P_k8_rlvect_2-{T}(V1,V4,V3,V5)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #436: disj( #40, input ), references = 1, size of lhs = 5:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), l1_struct_0-{F}(V1), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), pppp19-{F}(V4,V1) | pppp24-{T}(V3)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #450: disj( #50, input ), references = 1, size of lhs = 5:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), l1_struct_0-{F}(V1), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), pppp19-{F}(V4,V1) | pppp25-{T}(V3)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #473: disj( #99, input ), references = 1, size of lhs = 8:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), l1_struct_0-{F}(V1), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), m1_subset_1-{F}(V4,V2), m1_subset_1-{F}(V5,V2), P_k8_rlvect_2-{F}(V1,V5,V4,V6), pppp3-{F}(V1,V7,V8) | m1_subset_1-{T}(V6,V3)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #474: disj( #99, input ), references = 1, size of lhs = 8:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), l1_struct_0-{F}(V1), pppp17-{F}(V1), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), m1_subset_1-{F}(V4,V2), m1_subset_1-{F}(V5,V2), P_k8_rlvect_2-{F}(V1,V5,V4,V6) | m1_subset_1-{T}(V6,V3)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #475: disj( #99, input ), references = 1, size of lhs = 8:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), l1_struct_0-{F}(V1), pppp18-{F}(V1), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), m1_subset_1-{F}(V4,V2), m1_subset_1-{F}(V5,V2), P_k8_rlvect_2-{F}(V1,V5,V4,V6) | m1_subset_1-{T}(V6,V3)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #506: exists( #108, #504 ), references = 5, size of lhs = 7:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), l1_struct_0-{F}(V1), P_u1_struct_0-{F}(V1,V2), m1_subset_1-{F}(V3,V2), m1_subset_1-{F}(V4,V2), P_k2_tarski-{F}(V4,V3,V5), pppp1-{F}(V6,V1,V7,V8,V9,V10) | P_k8_rlvect_2-{T}(V1,V4,V3,V5)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #565: mergings( V0 == V6; #561 ), references = 1, size of lhs = 8:
% 52.09/52.24     l1_struct_0-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), m1_subset_1-{F}(V3,V1), P_k8_rlvect_2-{F}(V0,V4,V3,V2), m1_subset_1-{F}(V4,V1), P_k1_xboole_0-{F}(V5), V2 == V5 | v3_struct_0-{T}(V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #568: mergings( V0 == V7, V7 == V8; #562 ), references = 1, size of lhs = 12:
% 52.09/52.24     l1_struct_0-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), m1_subset_1-{F}(V3,V1), m1_subset_1-{F}(V4,V1), P_k8_rlvect_2-{F}(V0,V4,V3,V5), P_k1_xboole_0-{F}(V6), v1_xboole_0-{F}(V7), P_k1_zfmisc_1-{F}(V7,V8), P_k1_zfmisc_1-{F}(V8,V2), r2_hidden-{F}(V9,V5), r2_hidden-{F}(V10,V9) | v3_struct_0-{T}(V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #571: mergings( V0 == V7, V7 == V8; #563 ), references = 1, size of lhs = 12:
% 52.09/52.24     l1_struct_0-{F}(V0), P_u1_struct_0-{F}(V0,V1), P_k1_zfmisc_1-{F}(V1,V2), m1_subset_1-{F}(V3,V1), m1_subset_1-{F}(V4,V1), P_k8_rlvect_2-{F}(V0,V4,V3,V5), P_k1_xboole_0-{F}(V6), v1_xboole_0-{F}(V7), P_k1_zfmisc_1-{F}(V7,V8), P_k1_zfmisc_1-{F}(V8,V2), r2_hidden-{F}(V9,V5), V9 == V6 | v3_struct_0-{T}(V0)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #608: disj( #103, input ), references = 3, size of lhs = 26:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), v3_rlvect_1-{F}(V1), v4_rlvect_1-{F}(V1), v5_rlvect_1-{F}(V1), v6_rlvect_1-{F}(V1), v4_group_1-{F}(V1), v6_vectsp_1-{F}(V1), v7_vectsp_1-{F}(V1), v8_vectsp_1-{F}(V1), l3_vectsp_1-{F}(V1), P_k1_rlvect_1-{F}(V1,V2), P_k2_group_1-{F}(V1,V3), V2 == V3, v3_rlvect_1-{F}(V4), v4_rlvect_1-{F}(V4), v5_rlvect_1-{F}(V4), v6_rlvect_1-{F}(V4), v5_vectsp_2-{F}(V4,V1), l1_vectsp_2-{F}(V4,V1), P_u1_struct_0-{F}(V4,V5), P_k1_rlvect_1-{F}(V4,V6), m1_subset_1-{F}(V6,V5), m1_subset_1-{F}(V7,V5), P_k8_rlvect_2-{F}(V4,V6,V7,V8), v1_rmod_5-{F}(V8,V1,V4), pppp3-{F}(V1,V9,V10) | v3_struct_0-{T}(V4)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #609: disj( #103, input ), references = 1, size of lhs = 26:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), v3_rlvect_1-{F}(V1), v4_rlvect_1-{F}(V1), v5_rlvect_1-{F}(V1), v6_rlvect_1-{F}(V1), v4_group_1-{F}(V1), v6_vectsp_1-{F}(V1), v7_vectsp_1-{F}(V1), v8_vectsp_1-{F}(V1), l3_vectsp_1-{F}(V1), pppp17-{F}(V1), P_k1_rlvect_1-{F}(V1,V2), P_k2_group_1-{F}(V1,V3), V2 == V3, v3_rlvect_1-{F}(V4), v4_rlvect_1-{F}(V4), v5_rlvect_1-{F}(V4), v6_rlvect_1-{F}(V4), v5_vectsp_2-{F}(V4,V1), l1_vectsp_2-{F}(V4,V1), P_u1_struct_0-{F}(V4,V5), P_k1_rlvect_1-{F}(V4,V6), m1_subset_1-{F}(V6,V5), m1_subset_1-{F}(V7,V5), P_k8_rlvect_2-{F}(V4,V6,V7,V8), v1_rmod_5-{F}(V8,V1,V4) | v3_struct_0-{T}(V4)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #610: disj( #103, input ), references = 1, size of lhs = 26:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), v3_rlvect_1-{F}(V1), v4_rlvect_1-{F}(V1), v5_rlvect_1-{F}(V1), v6_rlvect_1-{F}(V1), v4_group_1-{F}(V1), v6_vectsp_1-{F}(V1), v7_vectsp_1-{F}(V1), v8_vectsp_1-{F}(V1), l3_vectsp_1-{F}(V1), pppp18-{F}(V1), P_k1_rlvect_1-{F}(V1,V2), P_k2_group_1-{F}(V1,V3), V2 == V3, v3_rlvect_1-{F}(V4), v4_rlvect_1-{F}(V4), v5_rlvect_1-{F}(V4), v6_rlvect_1-{F}(V4), v5_vectsp_2-{F}(V4,V1), l1_vectsp_2-{F}(V4,V1), P_u1_struct_0-{F}(V4,V5), P_k1_rlvect_1-{F}(V4,V6), m1_subset_1-{F}(V6,V5), m1_subset_1-{F}(V7,V5), P_k8_rlvect_2-{F}(V4,V6,V7,V8), v1_rmod_5-{F}(V8,V1,V4) | v3_struct_0-{T}(V4)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #615: disj( #23, #605+#22 ), references = 3, size of lhs = 29:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), v3_rlvect_1-{F}(V1), v4_rlvect_1-{F}(V1), v5_rlvect_1-{F}(V1), v6_rlvect_1-{F}(V1), v4_group_1-{F}(V1), v6_vectsp_1-{F}(V1), v7_vectsp_1-{F}(V1), v8_vectsp_1-{F}(V1), l3_vectsp_1-{F}(V1), P_k1_rlvect_1-{F}(V1,V2), P_k2_group_1-{F}(V1,V3), V2 == V3, v3_rlvect_1-{F}(V4), v4_rlvect_1-{F}(V4), v5_rlvect_1-{F}(V4), v6_rlvect_1-{F}(V4), v5_vectsp_2-{F}(V4,V1), l1_vectsp_2-{F}(V4,V1), P_u1_struct_0-{F}(V4,V5), P_k1_rlvect_1-{F}(V4,V6), m1_subset_1-{F}(V6,V5), m1_subset_1-{F}(V7,V5), P_k8_rlvect_2-{F}(V4,V6,V7,V8), pppp3-{F}(V1,V9,V10), P_k8_rlvect_2-{F}(V4,V11,V12,V8), pppp0-{F}(V1,V4,V11,V13,V12), P_k8_rlvect_2-{F}(V4,V12,V11,V14), pppp1-{F}(V15,V4,V16,V17,V18,V19) | v1_rmod_5-{T}(V14,V1,V4)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #616: disj( #23, #605+#84 ), references = 1, size of lhs = 29:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), v3_rlvect_1-{F}(V1), v4_rlvect_1-{F}(V1), v5_rlvect_1-{F}(V1), v6_rlvect_1-{F}(V1), v4_group_1-{F}(V1), v6_vectsp_1-{F}(V1), v7_vectsp_1-{F}(V1), v8_vectsp_1-{F}(V1), l3_vectsp_1-{F}(V1), P_k1_rlvect_1-{F}(V1,V2), P_k2_group_1-{F}(V1,V3), V2 == V3, v3_rlvect_1-{F}(V4), v4_rlvect_1-{F}(V4), v5_rlvect_1-{F}(V4), v6_rlvect_1-{F}(V4), v5_vectsp_2-{F}(V4,V1), l1_vectsp_2-{F}(V4,V1), P_u1_struct_0-{F}(V4,V5), P_k1_rlvect_1-{F}(V4,V6), m1_subset_1-{F}(V6,V5), m1_subset_1-{F}(V7,V5), P_k8_rlvect_2-{F}(V4,V6,V7,V8), pppp19-{F}(V9,V4), pppp3-{F}(V1,V10,V11), P_k8_rlvect_2-{F}(V4,V12,V13,V8), pppp0-{F}(V1,V4,V12,V14,V13), P_k8_rlvect_2-{F}(V4,V13,V12,V15) | v1_rmod_5-{T}(V15,V1,V4)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #811: exists( #108, #809 ), references = 1, size of lhs = 5:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2), V1 == V0, pppp0-{F}(V3,V4,V2,V1,V5), P_k8_rlvect_2-{F}(V4,V5,V2,V6) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #813: exists( #108, #810 ), references = 1, size of lhs = 4:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), r2_hidden-{F}(V1,V2), V1 == V0, pppp0-{F}(V3,V4,V2,V1,V5) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #1005: mergings( V4 == V5, V5 == V6; #1000 ), references = 1, size of lhs = 10:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), P_k1_zfmisc_1-{F}(V3,V4), r2_hidden-{F}(V5,V6), r2_hidden-{F}(V6,V7), r2_hidden-{F}(V7,V8), pppp0-{F}(V9,V10,V8,V4,V11), P_k8_rlvect_2-{F}(V10,V11,V8,V12) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #1008: mergings( V4 == V5, V5 == V6; #1001 ), references = 1, size of lhs = 10:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), P_k1_zfmisc_1-{F}(V3,V4), r2_hidden-{F}(V5,V6), V5 == V0, r2_hidden-{F}(V6,V7), pppp0-{F}(V8,V9,V7,V4,V10), P_k8_rlvect_2-{F}(V9,V10,V7,V11) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #1011: mergings( V4 == V5, V5 == V9; #1002 ), references = 1, size of lhs = 12:
% 52.09/52.24     l2_struct_0-{F}(V0), P_u1_struct_0-{F}(V0,V1), r2_hidden-{F}(V1,V2), r2_hidden-{F}(V2,V3), P_k1_xboole_0-{F}(V4), V1 == V4, v1_xboole_0-{F}(V5), P_k1_zfmisc_1-{F}(V5,V6), P_k1_zfmisc_1-{F}(V6,V7), P_k1_zfmisc_1-{F}(V7,V8), pppp0-{F}(V9,V10,V3,V8,V11), P_k8_rlvect_2-{F}(V10,V11,V3,V12) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #1017: mergings( V4 == V5, V5 == V6; #1012 ), references = 1, size of lhs = 9:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), P_k1_zfmisc_1-{F}(V3,V4), r2_hidden-{F}(V5,V6), r2_hidden-{F}(V6,V7), r2_hidden-{F}(V7,V8), pppp0-{F}(V9,V10,V8,V4,V11) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #1020: mergings( V4 == V5, V5 == V6; #1013 ), references = 1, size of lhs = 9:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), v1_xboole_0-{F}(V1), P_k1_zfmisc_1-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), P_k1_zfmisc_1-{F}(V3,V4), r2_hidden-{F}(V5,V6), V5 == V0, r2_hidden-{F}(V6,V7), pppp0-{F}(V8,V9,V7,V4,V10) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #1023: mergings( V4 == V5, V5 == V9; #1014 ), references = 1, size of lhs = 11:
% 52.09/52.24     l2_struct_0-{F}(V0), P_u1_struct_0-{F}(V0,V1), r2_hidden-{F}(V1,V2), r2_hidden-{F}(V2,V3), P_k1_xboole_0-{F}(V4), V1 == V4, v1_xboole_0-{F}(V5), P_k1_zfmisc_1-{F}(V5,V6), P_k1_zfmisc_1-{F}(V6,V7), P_k1_zfmisc_1-{F}(V7,V8), pppp0-{F}(V9,V10,V3,V8,V11) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #1085: mergings( V12 == V14, V13 == V15, V7 == V8, V8 == V16, V16 == V17, V3 == V4, V4 == V5, V5 == V9, V9 == V10, V23 == V28, V28 == V33, V33 == V38, V24 == V29, V29 == V34, V34 == V39, V25 == V30, V30 == V35, V35 == V40, V26 == V31, V31 == V36, V36 == V41, V27 == V32, V32 == V37, V37 == V42, V19 == V21, V20 == V22; #1057 ), references = 2, size of lhs = 27:
% 52.09/52.24     l1_struct_0-{F}(V0), v3_rlvect_1-{F}(V0), v4_rlvect_1-{F}(V0), v5_rlvect_1-{F}(V0), v6_rlvect_1-{F}(V0), P_k1_xboole_0-{F}(V1), v3_rlvect_1-{F}(V2), v4_rlvect_1-{F}(V2), v5_rlvect_1-{F}(V2), v6_rlvect_1-{F}(V2), v4_group_1-{F}(V2), v6_vectsp_1-{F}(V2), v7_vectsp_1-{F}(V2), v8_vectsp_1-{F}(V2), l3_vectsp_1-{F}(V2), v5_vectsp_2-{F}(V0,V2), l1_vectsp_2-{F}(V0,V2), P_k1_rlvect_1-{F}(V2,V3), P_k2_group_1-{F}(V2,V4), V3 == V4, P_u1_struct_0-{F}(V0,V5), m1_subset_1-{F}(V6,V5), P_k1_rlvect_1-{F}(V0,V7), m1_subset_1-{F}(V7,V5), pppp0-{F}(V2,V0,V6,V8,V7), pppp3-{F}(V2,V9,V10), pppp1-{F}(V11,V0,V12,V13,V14,V15) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #1107: mergings( V12 == V14, V13 == V15, V7 == V8, V8 == V16, V16 == V17, V3 == V4, V4 == V5, V5 == V9, V9 == V10, V24 == V29, V29 == V34, V25 == V30, V30 == V35, V26 == V31, V31 == V36, V27 == V32, V32 == V37, V28 == V33, V33 == V38, V20 == V22, V21 == V23; #1058 ), references = 2, size of lhs = 28:
% 52.09/52.24     l1_struct_0-{F}(V0), v3_rlvect_1-{F}(V0), v4_rlvect_1-{F}(V0), v5_rlvect_1-{F}(V0), v6_rlvect_1-{F}(V0), P_k1_xboole_0-{F}(V1), v3_rlvect_1-{F}(V2), v4_rlvect_1-{F}(V2), v5_rlvect_1-{F}(V2), v6_rlvect_1-{F}(V2), v4_group_1-{F}(V2), v6_vectsp_1-{F}(V2), v7_vectsp_1-{F}(V2), v8_vectsp_1-{F}(V2), l3_vectsp_1-{F}(V2), v5_vectsp_2-{F}(V0,V2), l1_vectsp_2-{F}(V0,V2), P_k1_rlvect_1-{F}(V2,V3), P_k2_group_1-{F}(V2,V4), V3 == V4, P_u1_struct_0-{F}(V0,V5), m1_subset_1-{F}(V6,V5), P_k1_rlvect_1-{F}(V0,V7), m1_subset_1-{F}(V7,V5), pppp19-{F}(V8,V0), pppp0-{F}(V2,V0,V6,V9,V7), pppp3-{F}(V2,V10,V11), pppp1-{F}(V12,V0,V13,V14,V15,V16) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #1145: disj( #99, input ), references = 1, size of lhs = 8:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), l1_struct_0-{F}(V1), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), m1_subset_1-{F}(V4,V2), m1_subset_1-{F}(V5,V2), P_k8_rlvect_2-{F}(V1,V5,V4,V6), pppp19-{F}(V7,V1) | m1_subset_1-{T}(V6,V3)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #1299: disj( #98, input ), references = 1, size of lhs = 8:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), l1_struct_0-{F}(V1), P_u1_struct_0-{F}(V1,V2), P_k1_zfmisc_1-{F}(V2,V3), m1_subset_1-{F}(V4,V2), m1_subset_1-{F}(V5,V2), P_k8_rlvect_2-{F}(V1,V5,V4,V6), pppp19-{F}(V7,V1) | v1_finset_1-{T}(V6)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #1868: mergings( V6 == V14; #1865 ), references = 1, size of lhs = 28:
% 52.09/52.24     l1_struct_0-{F}(V0), v3_rlvect_1-{F}(V0), v4_rlvect_1-{F}(V0), v5_rlvect_1-{F}(V0), v6_rlvect_1-{F}(V0), P_k1_xboole_0-{F}(V1), v3_rlvect_1-{F}(V2), v4_rlvect_1-{F}(V2), v5_rlvect_1-{F}(V2), v6_rlvect_1-{F}(V2), v4_group_1-{F}(V2), v6_vectsp_1-{F}(V2), v7_vectsp_1-{F}(V2), v8_vectsp_1-{F}(V2), l3_vectsp_1-{F}(V2), v5_vectsp_2-{F}(V0,V2), l1_vectsp_2-{F}(V0,V2), P_k1_rlvect_1-{F}(V2,V3), P_k2_group_1-{F}(V2,V4), V3 == V4, P_u1_struct_0-{F}(V0,V5), P_k1_rlvect_1-{F}(V0,V6), m1_subset_1-{F}(V6,V5), pppp0-{F}(V2,V0,V7,V8,V6), pppp3-{F}(V2,V9,V10), pppp0-{F}(V2,V11,V7,V5,V12), P_k8_rlvect_2-{F}(V11,V12,V7,V13), pppp1-{F}(V14,V0,V15,V16,V17,V18) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #1870: mergings( V6 == V15; #1866 ), references = 1, size of lhs = 29:
% 52.09/52.24     l1_struct_0-{F}(V0), v3_rlvect_1-{F}(V0), v4_rlvect_1-{F}(V0), v5_rlvect_1-{F}(V0), v6_rlvect_1-{F}(V0), P_k1_xboole_0-{F}(V1), v3_rlvect_1-{F}(V2), v4_rlvect_1-{F}(V2), v5_rlvect_1-{F}(V2), v6_rlvect_1-{F}(V2), v4_group_1-{F}(V2), v6_vectsp_1-{F}(V2), v7_vectsp_1-{F}(V2), v8_vectsp_1-{F}(V2), l3_vectsp_1-{F}(V2), v5_vectsp_2-{F}(V0,V2), l1_vectsp_2-{F}(V0,V2), P_k1_rlvect_1-{F}(V2,V3), P_k2_group_1-{F}(V2,V4), V3 == V4, P_u1_struct_0-{F}(V0,V5), P_k1_rlvect_1-{F}(V0,V6), m1_subset_1-{F}(V6,V5), pppp19-{F}(V7,V0), pppp0-{F}(V2,V0,V8,V9,V6), pppp3-{F}(V2,V10,V11), pppp0-{F}(V2,V12,V8,V5,V13), P_k8_rlvect_2-{F}(V12,V13,V8,V14), pppp1-{F}(V15,V0,V16,V17,V18,V19) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #1874: mergings( V6 == V14; #1871 ), references = 1, size of lhs = 27:
% 52.09/52.24     l1_struct_0-{F}(V0), v3_rlvect_1-{F}(V0), v4_rlvect_1-{F}(V0), v5_rlvect_1-{F}(V0), v6_rlvect_1-{F}(V0), P_k1_xboole_0-{F}(V1), v3_rlvect_1-{F}(V2), v4_rlvect_1-{F}(V2), v5_rlvect_1-{F}(V2), v6_rlvect_1-{F}(V2), v4_group_1-{F}(V2), v6_vectsp_1-{F}(V2), v7_vectsp_1-{F}(V2), v8_vectsp_1-{F}(V2), l3_vectsp_1-{F}(V2), v5_vectsp_2-{F}(V0,V2), l1_vectsp_2-{F}(V0,V2), P_k1_rlvect_1-{F}(V2,V3), P_k2_group_1-{F}(V2,V4), V3 == V4, P_u1_struct_0-{F}(V0,V5), P_k1_rlvect_1-{F}(V0,V6), m1_subset_1-{F}(V6,V5), pppp0-{F}(V2,V0,V7,V8,V6), pppp3-{F}(V2,V9,V10), pppp0-{F}(V2,V11,V7,V5,V12), pppp1-{F}(V13,V0,V14,V15,V16,V17) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #1876: mergings( V6 == V15; #1872 ), references = 1, size of lhs = 28:
% 52.09/52.24     l1_struct_0-{F}(V0), v3_rlvect_1-{F}(V0), v4_rlvect_1-{F}(V0), v5_rlvect_1-{F}(V0), v6_rlvect_1-{F}(V0), P_k1_xboole_0-{F}(V1), v3_rlvect_1-{F}(V2), v4_rlvect_1-{F}(V2), v5_rlvect_1-{F}(V2), v6_rlvect_1-{F}(V2), v4_group_1-{F}(V2), v6_vectsp_1-{F}(V2), v7_vectsp_1-{F}(V2), v8_vectsp_1-{F}(V2), l3_vectsp_1-{F}(V2), v5_vectsp_2-{F}(V0,V2), l1_vectsp_2-{F}(V0,V2), P_k1_rlvect_1-{F}(V2,V3), P_k2_group_1-{F}(V2,V4), V3 == V4, P_u1_struct_0-{F}(V0,V5), P_k1_rlvect_1-{F}(V0,V6), m1_subset_1-{F}(V6,V5), pppp19-{F}(V7,V0), pppp0-{F}(V2,V0,V8,V9,V6), pppp3-{F}(V2,V10,V11), pppp0-{F}(V2,V12,V8,V5,V13), pppp1-{F}(V14,V0,V15,V16,V17,V18) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #1884: mergings( V0 == V12, V2 == V13, V3 == V14, V4 == V15, V5 == V16; #1877 ), references = 2, size of lhs = 25:
% 52.09/52.24     l1_struct_0-{F}(V0), v3_rlvect_1-{F}(V0), v4_rlvect_1-{F}(V0), v5_rlvect_1-{F}(V0), v6_rlvect_1-{F}(V0), P_k1_xboole_0-{F}(V1), v3_rlvect_1-{F}(V2), v4_rlvect_1-{F}(V2), v5_rlvect_1-{F}(V2), v6_rlvect_1-{F}(V2), v4_group_1-{F}(V2), v6_vectsp_1-{F}(V2), v7_vectsp_1-{F}(V2), v8_vectsp_1-{F}(V2), l3_vectsp_1-{F}(V2), v5_vectsp_2-{F}(V0,V2), l1_vectsp_2-{F}(V0,V2), P_k1_rlvect_1-{F}(V2,V3), P_k2_group_1-{F}(V2,V4), V3 == V4, P_u1_struct_0-{F}(V0,V5), P_k1_rlvect_1-{F}(V0,V6), m1_subset_1-{F}(V6,V5), pppp3-{F}(V2,V7,V8), pppp1-{F}(V2,V0,V9,V10,V5,V6) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #1913: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7; #1908 ), references = 1, size of lhs = 17:
% 52.09/52.24     l1_struct_0-{F}(V0), v3_rlvect_1-{F}(V0), v4_rlvect_1-{F}(V0), v5_rlvect_1-{F}(V0), v6_rlvect_1-{F}(V0), v4_group_1-{F}(V0), v6_vectsp_1-{F}(V0), v7_vectsp_1-{F}(V0), v8_vectsp_1-{F}(V0), l3_vectsp_1-{F}(V0), P_k1_xboole_0-{F}(V1), P_k1_rlvect_1-{F}(V0,V2), P_k2_group_1-{F}(V0,V3), V2 == V3, pppp3-{F}(V0,V4,V5), P_u1_struct_0-{F}(V6,V7), pppp2-{F}(V0,V8,V9,V6) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #1919: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7; #1914 ), references = 1, size of lhs = 16:
% 52.09/52.24     l1_struct_0-{F}(V0), v3_rlvect_1-{F}(V0), v4_rlvect_1-{F}(V0), v5_rlvect_1-{F}(V0), v6_rlvect_1-{F}(V0), v4_group_1-{F}(V0), v6_vectsp_1-{F}(V0), v7_vectsp_1-{F}(V0), v8_vectsp_1-{F}(V0), l3_vectsp_1-{F}(V0), P_k1_xboole_0-{F}(V1), P_k1_rlvect_1-{F}(V0,V2), P_k2_group_1-{F}(V0,V3), V2 == V3, pppp3-{F}(V0,V4,V5), pppp2-{F}(V0,V6,V7,V8) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #1927: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V8, V1 == V11, V2 == V12; #1920 ), references = 1, size of lhs = 15:
% 52.09/52.24     l1_struct_0-{F}(V0), v3_rlvect_1-{F}(V0), v4_rlvect_1-{F}(V0), v5_rlvect_1-{F}(V0), v6_rlvect_1-{F}(V0), v4_group_1-{F}(V0), v6_vectsp_1-{F}(V0), v7_vectsp_1-{F}(V0), v8_vectsp_1-{F}(V0), l3_vectsp_1-{F}(V0), P_k1_xboole_0-{F}(V1), P_k1_rlvect_1-{F}(V0,V2), P_k2_group_1-{F}(V0,V3), V2 == V3, pppp3-{F}(V0,V4,V5) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #1950: mergings( V2 == V11, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #1941 ), references = 1, size of lhs = 3:
% 52.09/52.24     pppp4-{F}(V0), P_k1_xboole_0-{F}(V1), P_k1_rlvect_1-{F}(V0,V2) | P_k2_group_1-{T}(V0,V2)
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #1961: exists( #106, #1959 ), references = 1, size of lhs = 2:
% 52.09/52.24     P_u1_struct_0-{F}(V0,V1), pppp2-{F}(V2,V3,V3,V0) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #1963: exists( #105, #1960 ), references = 1, size of lhs = 1:
% 52.09/52.24     pppp2-{F}(V0,V1,V1,V2) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #1965: exists( #2, #1962 ), references = 1, size of lhs = 1:
% 52.09/52.24     pppp3-{F}(V0,V1,V1) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #1976: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #1968 ), references = 1, size of lhs = 2:
% 52.09/52.24     P_k1_xboole_0-{F}(V0), pppp4-{F}(V1) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #1978: exists( #109, #1968 ), references = 1, size of lhs = 1:
% 52.09/52.24     pppp4-{F}(V0) | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  #1980: exists( #0, #1977 ), references = 1, size of lhs = 0:
% 52.09/52.24     FALSE | FALSE
% 52.09/52.24        (used 0 times, uses = {})
% 52.09/52.24  
% 52.09/52.24  number of learnt formulas = 69
% 52.09/52.24  
% 52.09/52.24  
% 52.09/52.24  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 52.09/52.24  
% 52.09/52.24  randbase = 1
%------------------------------------------------------------------------------