TSTP Solution File: SET641+3 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SET641+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat Jul 23 06:16:32 EDT 2022

% Result   : Theorem 15.52s 15.69s
% Output   : Refutation 15.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET641+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n022.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 : Sat Jul 23 01:58:36 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 15.52/15.69  GeoParameters:
% 15.52/15.69  
% 15.52/15.69  tptp_input =     1
% 15.52/15.69  tptp_output =    0
% 15.52/15.69  nonempty =       1
% 15.52/15.69  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.52/15.69  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 15.52/15.69  
% 15.52/15.69  
% 15.52/15.69  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.52/15.69  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.52/15.69  
% 15.52/15.69  RuleSystem INPUT:
% 15.52/15.69  
% 15.52/15.69  Initial Rules:
% 15.52/15.69  #0: input, references = 4, size of lhs = 7:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_cross_product-{F}(V1,V2,V3), P_subset_type-{F}(V3,V4), P_relation_type-{F}(V1,V2,V5), ilf_type-{F}(V2,V0), ilf_type-{F}(V6,V4) | ilf_type-{T}(V6,V5)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #1: input, references = 4, size of lhs = 7:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_cross_product-{F}(V1,V2,V3), P_subset_type-{F}(V3,V4), P_relation_type-{F}(V1,V2,V5), ilf_type-{F}(V2,V0), ilf_type-{F}(V6,V5) | ilf_type-{T}(V6,V4)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #2: input, references = 3, size of lhs = 4:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_relation_type-{F}(V2,V1,V3), ilf_type-{F}(V2,V0) | EXISTS V4: pppp5-{T}(V3,V4)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #3: input, references = 3, size of lhs = 1:
% 15.52/15.69     pppp5-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #4: input, references = 3, size of lhs = 6:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_cross_product-{F}(V1,V2,V3), ilf_type-{F}(V2,V0), ilf_type-{F}(V4,V0), member-{F}(V4,V3) | pppp0-{T}(V1,V2,V4)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #5: input, references = 4, size of lhs = 6:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_cross_product-{F}(V1,V2,V3), ilf_type-{F}(V2,V0), ilf_type-{F}(V4,V0), pppp0-{F}(V1,V2,V4) | member-{T}(V4,V3)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #6: input, references = 3, size of lhs = 2:
% 15.52/15.69     P_set_type-{F}(V0), pppp0-{F}(V1,V2,V3) | EXISTS V4: pppp7-{T}(V1,V2,V3,V4,V0)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #7: input, references = 4, size of lhs = 6:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V4,V0), member-{F}(V4,V1), P_ordered_pair-{F}(V4,V5,V6), ilf_type-{F}(V5,V0), member-{F}(V5,V2) | pppp0-{T}(V1,V2,V6)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #8: input, references = 3, size of lhs = 1:
% 15.52/15.69     pppp7-{F}(V0,V1,V2,V3,V4) | EXISTS V5: pppp6-{T}(V1,V2,V3,V5,V4)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #9: input, references = 3, size of lhs = 1:
% 15.52/15.69     pppp7-{F}(V0,V1,V2,V3,V4) | member-{T}(V3,V0)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #10: input, references = 3, size of lhs = 1:
% 15.52/15.69     pppp7-{F}(V0,V1,V2,V3,V4) | ilf_type-{T}(V3,V4)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #11: input, references = 4, size of lhs = 3:
% 15.52/15.69     pppp6-{F}(V0,V1,V2,V3,V4), P_ordered_pair-{F}(V2,V3,V5), V1 == V5 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #12: input, references = 3, size of lhs = 2:
% 15.52/15.69     pppp6-{F}(V0,V1,V2,V3,V4), P_ordered_pair-{F}(V2,V3,V5) | member-{T}(V3,V0)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #13: input, references = 3, size of lhs = 2:
% 15.52/15.69     pppp6-{F}(V0,V1,V2,V3,V4), P_ordered_pair-{F}(V2,V3,V5) | ilf_type-{T}(V3,V4)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #14: input, references = 3, size of lhs = 4:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_cross_product-{F}(V1,V2,V3), ilf_type-{F}(V2,V0) | ilf_type-{T}(V3,V0)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #15: input, references = 4, size of lhs = 4:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), subset-{F}(V1,V2) | pppp1-{T}(V1,V2)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #16: input, references = 3, size of lhs = 4:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), pppp1-{F}(V1,V2) | subset-{T}(V1,V2)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #17: input, references = 10, size of lhs = 4:
% 15.52/15.69     P_set_type-{F}(V0), pppp1-{F}(V1,V2), ilf_type-{F}(V3,V0), member-{F}(V3,V1) | member-{T}(V3,V2)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #18: input, references = 6, size of lhs = 3:
% 15.52/15.69     P_set_type-{F}(V0), #-{F} V1, #-{F} V2 | pppp1-{T}(V1,V2), pppp19-{T}(V1,V2,V0)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #19: input, references = 4, size of lhs = 1:
% 15.52/15.69     pppp19-{F}(V0,V1,V2) | EXISTS V3: pppp8-{T}(V0,V1,V3,V2)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #20: input, references = 4, size of lhs = 2:
% 15.52/15.69     pppp8-{F}(V0,V1,V2,V3), member-{F}(V2,V1) | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #21: input, references = 4, size of lhs = 1:
% 15.52/15.69     pppp8-{F}(V0,V1,V2,V3) | member-{T}(V2,V0)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #22: input, references = 4, size of lhs = 1:
% 15.52/15.69     pppp8-{F}(V0,V1,V2,V3) | ilf_type-{T}(V2,V3)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #23: input, references = 3, size of lhs = 4:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_ordered_pair-{F}(V1,V2,V3), ilf_type-{F}(V2,V0) | ilf_type-{T}(V3,V0)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #24: input, references = 4, size of lhs = 7:
% 15.52/15.69     P_set_type-{F}(V0), P_subset_type-{F}(V1,V2), P_power_set-{F}(V1,V3), P_member_type-{F}(V3,V4), ilf_type-{F}(V1,V0), ilf_type-{F}(V5,V0), ilf_type-{F}(V5,V2) | ilf_type-{T}(V5,V4)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #25: input, references = 6, size of lhs = 7:
% 15.52/15.69     P_set_type-{F}(V0), P_subset_type-{F}(V1,V2), P_power_set-{F}(V1,V3), P_member_type-{F}(V3,V4), ilf_type-{F}(V1,V0), ilf_type-{F}(V5,V0), ilf_type-{F}(V5,V4) | ilf_type-{T}(V5,V2)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #26: input, references = 3, size of lhs = 3:
% 15.52/15.69     P_set_type-{F}(V0), P_subset_type-{F}(V1,V2), ilf_type-{F}(V1,V0) | EXISTS V3: pppp9-{T}(V2,V3)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #27: input, references = 3, size of lhs = 1:
% 15.52/15.69     pppp9-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #28: input, references = 3, size of lhs = 2:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0) | subset-{T}(V1,V1)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #29: input, references = 5, size of lhs = 5:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V2,V3), ilf_type-{F}(V2,V0), member-{F}(V1,V3) | pppp2-{T}(V1,V2)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #30: input, references = 7, size of lhs = 5:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V2,V3), ilf_type-{F}(V2,V0), pppp2-{F}(V1,V2) | member-{T}(V1,V3)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #31: input, references = 4, size of lhs = 4:
% 15.52/15.69     P_set_type-{F}(V0), pppp2-{F}(V1,V2), ilf_type-{F}(V3,V0), member-{F}(V3,V1) | member-{T}(V3,V2)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #32: input, references = 6, size of lhs = 3:
% 15.52/15.69     P_set_type-{F}(V0), #-{F} V1, #-{F} V2 | pppp2-{T}(V1,V2), pppp20-{T}(V1,V2,V0)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #33: input, references = 4, size of lhs = 1:
% 15.52/15.69     pppp20-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V0,V1,V3,V2)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #34: input, references = 4, size of lhs = 2:
% 15.52/15.69     pppp10-{F}(V0,V1,V2,V3), member-{F}(V2,V1) | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #35: input, references = 4, size of lhs = 1:
% 15.52/15.69     pppp10-{F}(V0,V1,V2,V3) | member-{T}(V2,V0)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #36: input, references = 4, size of lhs = 1:
% 15.52/15.69     pppp10-{F}(V0,V1,V2,V3) | ilf_type-{T}(V2,V3)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #37: input, references = 4, size of lhs = 4:
% 15.52/15.69     P_set_type-{F}(V0), P_power_set-{F}(V1,V2), ilf_type-{F}(V1,V0), empty-{F}(V2) | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #38: input, references = 3, size of lhs = 3:
% 15.52/15.69     P_set_type-{F}(V0), P_power_set-{F}(V1,V2), ilf_type-{F}(V1,V0) | ilf_type-{T}(V2,V0)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #39: input, references = 4, size of lhs = 5:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_member_type-{F}(V2,V3), ilf_type-{F}(V2,V0), ilf_type-{F}(V1,V3) | empty-{T}(V2), member-{T}(V1,V2)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #40: input, references = 5, size of lhs = 5:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_member_type-{F}(V2,V3), ilf_type-{F}(V2,V0), member-{F}(V1,V2) | empty-{T}(V2), ilf_type-{T}(V1,V3)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #41: input, references = 5, size of lhs = 3:
% 15.52/15.69     P_set_type-{F}(V0), P_member_type-{F}(V1,V2), ilf_type-{F}(V1,V0) | empty-{T}(V1), pppp21-{T}(V2)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #42: input, references = 3, size of lhs = 1:
% 15.52/15.69     pppp21-{F}(V0) | EXISTS V1: pppp11-{T}(V0,V1)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #43: input, references = 3, size of lhs = 1:
% 15.52/15.69     pppp11-{F}(V0,V1) | ilf_type-{T}(V1,V0)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #44: input, references = 4, size of lhs = 3:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), empty-{F}(V1) | pppp3-{T}(V1)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #45: input, references = 4, size of lhs = 3:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), pppp3-{F}(V1) | empty-{T}(V1)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #46: input, references = 4, size of lhs = 4:
% 15.52/15.69     P_set_type-{F}(V0), pppp3-{F}(V1), ilf_type-{F}(V2,V0), member-{F}(V2,V1) | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #47: input, references = 5, size of lhs = 2:
% 15.52/15.69     P_set_type-{F}(V0), #-{F} V1 | pppp3-{T}(V1), pppp22-{T}(V1,V0)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #48: input, references = 3, size of lhs = 1:
% 15.52/15.69     pppp22-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V0,V2,V1)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #49: input, references = 3, size of lhs = 1:
% 15.52/15.69     pppp12-{F}(V0,V1,V2) | member-{T}(V1,V0)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #50: input, references = 3, size of lhs = 1:
% 15.52/15.69     pppp12-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #51: input, references = 3, size of lhs = 3:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), relation_like-{F}(V1) | pppp4-{T}(V1)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #52: input, references = 3, size of lhs = 3:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), pppp4-{F}(V1) | relation_like-{T}(V1)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #53: input, references = 3, size of lhs = 4:
% 15.52/15.69     P_set_type-{F}(V0), pppp4-{F}(V1), ilf_type-{F}(V2,V0), member-{F}(V2,V1) | EXISTS V3: pppp14-{T}(V2,V3,V0)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #54: input, references = 3, size of lhs = 2:
% 15.52/15.69     P_set_type-{F}(V0), #-{F} V1 | pppp4-{T}(V1), pppp23-{T}(V1,V0)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #55: input, references = 3, size of lhs = 1:
% 15.52/15.69     pppp23-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V2,V1)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #56: input, references = 3, size of lhs = 4:
% 15.52/15.69     pppp15-{F}(V0,V5,V2), ilf_type-{F}(V3,V2), P_ordered_pair-{F}(V3,V4,V5), ilf_type-{F}(V4,V2) | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #57: input, references = 3, size of lhs = 1:
% 15.52/15.69     pppp15-{F}(V0,V1,V2) | member-{T}(V1,V0)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #58: input, references = 3, size of lhs = 1:
% 15.52/15.69     pppp15-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #59: input, references = 3, size of lhs = 1:
% 15.52/15.69     pppp14-{F}(V0,V1,V2) | EXISTS V3: pppp13-{T}(V0,V1,V3,V2)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #60: input, references = 3, size of lhs = 1:
% 15.52/15.69     pppp14-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #61: input, references = 4, size of lhs = 3:
% 15.52/15.69     pppp13-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4), V0 == V4 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #62: input, references = 3, size of lhs = 2:
% 15.52/15.69     pppp13-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V1,V2,V4) | ilf_type-{T}(V2,V3)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #63: input, references = 3, size of lhs = 3:
% 15.52/15.69     P_set_type-{F}(V0), empty-{F}(V1), ilf_type-{F}(V1,V0) | relation_like-{T}(V1)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #64: input, references = 3, size of lhs = 6:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_cross_product-{F}(V1,V2,V3), P_subset_type-{F}(V3,V4), ilf_type-{F}(V2,V0), ilf_type-{F}(V5,V4) | relation_like-{T}(V5)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #65: input, references = 9, size of lhs = 2:
% 15.52/15.69     P_set_type-{F}(V0), #-{F} V1 | ilf_type-{T}(V1,V0)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #66: input, references = 4, size of lhs = 1:
% 15.52/15.69     P_set_type-{F}(V0) | EXISTS V1: pppp18-{T}(V1,V0)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #67: input, references = 4, size of lhs = 1:
% 15.52/15.69     pppp18-{F}(V0,V1) | EXISTS V2: pppp17-{T}(V0,V2,V1)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #68: input, references = 4, size of lhs = 1:
% 15.52/15.69     pppp18-{F}(V0,V1) | ilf_type-{T}(V0,V1)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #69: input, references = 4, size of lhs = 1:
% 15.52/15.69     pppp17-{F}(V0,V1,V2) | EXISTS V3: pppp16-{T}(V0,V1,V3,V2)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #70: input, references = 4, size of lhs = 1:
% 15.52/15.69     pppp17-{F}(V0,V1,V2) | ilf_type-{T}(V1,V2)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #71: input, references = 5, size of lhs = 4:
% 15.52/15.69     pppp16-{F}(V0,V1,V2,V3), P_cross_product-{F}(V1,V2,V4), P_relation_type-{F}(V1,V2,V5), ilf_type-{F}(V0,V5) | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #72: input, references = 4, size of lhs = 3:
% 15.52/15.69     pppp16-{F}(V0,V1,V2,V3), P_cross_product-{F}(V1,V2,V4), P_relation_type-{F}(V1,V2,V5) | subset-{T}(V0,V4)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #73: input, references = 3, size of lhs = 3:
% 15.52/15.69     pppp16-{F}(V0,V1,V2,V3), P_cross_product-{F}(V1,V2,V4), P_relation_type-{F}(V1,V2,V5) | ilf_type-{T}(V2,V3)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #74: input, references = 4, size of lhs = 0:
% 15.52/15.69     FALSE | EXISTS V0: P_set_type-{T}(V0)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #75: input, references = 5, size of lhs = 1:
% 15.52/15.69     #-{F} V0 | EXISTS V1: P_subset_type-{T}(V0,V1)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #76: input, references = 4, size of lhs = 2:
% 15.52/15.69     #-{F} V0, #-{F} V1 | EXISTS V2: P_cross_product-{T}(V0,V1,V2)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #77: input, references = 5, size of lhs = 2:
% 15.52/15.69     #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_type-{T}(V0,V1,V2)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #78: input, references = 5, size of lhs = 2:
% 15.52/15.69     #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #79: input, references = 5, size of lhs = 1:
% 15.52/15.69     #-{F} V0 | EXISTS V1: P_member_type-{T}(V0,V1)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #80: input, references = 5, size of lhs = 1:
% 15.52/15.69     #-{F} V0 | EXISTS V1: P_power_set-{T}(V0,V1)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  number of initial rules = 81
% 15.52/15.69  
% 15.52/15.69  Simplifiers:
% 15.52/15.69  #81: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     P_set_type-{F}(V0), P_set_type-{F}(V1), V0 == V1 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #82: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     P_subset_type-{F}(V0,V1), P_subset_type-{F}(V0,V3), V1 == V3 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #83: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     P_cross_product-{F}(V0,V1,V2), P_cross_product-{F}(V0,V1,V5), V2 == V5 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #84: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     P_relation_type-{F}(V0,V1,V2), P_relation_type-{F}(V0,V1,V5), V2 == V5 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #85: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #86: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     P_member_type-{F}(V0,V1), P_member_type-{F}(V0,V3), V1 == V3 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #87: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     P_power_set-{F}(V0,V1), P_power_set-{F}(V0,V3), V1 == V3 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #88: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #89: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp6-{F}(V0,V1,V2,V3,V4), pppp6-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #90: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp6-{F}(V0,V1,V2,V3,V4), pppp6-{F}(V5,V6,V7,V8,V9), V4 == V9 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #91: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp7-{F}(V0,V1,V2,V3,V4), pppp7-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #92: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp7-{F}(V0,V1,V2,V3,V4), pppp7-{F}(V5,V6,V7,V8,V9), V4 == V9 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #93: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #94: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #95: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #96: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #97: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #98: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp11-{F}(V0,V1), pppp11-{F}(V0,V3), V1 == V3 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #99: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp12-{F}(V0,V1,V2), pppp12-{F}(V0,V4,V2), V1 == V4 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #100: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V4,V5), V2 == V5 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #101: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #102: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V0,V5,V6,V3), V1 == V5 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #103: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #104: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp14-{F}(V0,V1,V2), pppp14-{F}(V0,V4,V2), V1 == V4 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #105: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V4,V5), V2 == V5 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #106: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V2), V1 == V4 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #107: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp15-{F}(V0,V1,V2), pppp15-{F}(V3,V4,V5), V2 == V5 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #108: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #109: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V0,V5,V6,V3), V1 == V5 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #110: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V4,V5,V6,V3), V0 == V4 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #111: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #112: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V4,V2), V1 == V4 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #113: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp17-{F}(V0,V1,V2), pppp17-{F}(V3,V4,V2), V0 == V3 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #114: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp17-{F}(V0,V1,V2), pppp17-{F}(V3,V4,V5), V2 == V5 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #115: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp18-{F}(V0,V1), pppp18-{F}(V2,V1), V0 == V2 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #116: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp18-{F}(V0,V1), pppp18-{F}(V2,V3), V1 == V3 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #117: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp19-{F}(V0,V1,V2), pppp19-{F}(V3,V4,V5), V2 == V5 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #118: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp20-{F}(V0,V1,V2), pppp20-{F}(V3,V4,V5), V2 == V5 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #119: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp22-{F}(V0,V1), pppp22-{F}(V2,V3), V1 == V3 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #120: unsound, references = 3, size of lhs = 3:
% 15.52/15.69     pppp23-{F}(V0,V1), pppp23-{F}(V2,V3), V1 == V3 | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  number of simplifiers = 40
% 15.52/15.69  
% 15.52/15.69  Learnt:
% 15.52/15.69  #123: mergings( V0 == V3; #121 ), references = 1, size of lhs = 5:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V1,V2), ilf_type-{F}(V2,V0), P_member_type-{F}(V2,V3) | pppp21-{T}(V3)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #128: mergings( V0 == V2, V2 == V3; #125 ), references = 1, size of lhs = 4:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V1,V2), ilf_type-{F}(V2,V0) | pppp22-{T}(V2,V0)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #133: exists( #19, #131 ), references = 2, size of lhs = 3:
% 15.52/15.69     P_set_type-{F}(V0), pppp2-{F}(V1,V2), pppp19-{F}(V1,V2,V0) | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #144: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11; #138 ), references = 1, size of lhs = 11:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_ordered_pair-{F}(V3,V3,V4), ilf_type-{F}(V4,V0), P_cross_product-{F}(V2,V2,V5), ilf_type-{F}(V6,V0), P_power_set-{F}(V6,V5), pppp19-{F}(V4,V6,V0) | pppp20-{T}(V3,V1,V0)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #147: mergings( V0 == V3; #145 ), references = 1, size of lhs = 2:
% 15.52/15.69     P_set_type-{F}(V0), pppp19-{F}(V1,V2,V0) | pppp20-{T}(V1,V2,V0)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #152: mergings( V0 == V4; #150 ), references = 2, size of lhs = 7:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V1,V2), ilf_type-{F}(V3,V0), P_power_set-{F}(V3,V4), P_member_type-{F}(V4,V2), ilf_type-{F}(V4,V0) | member-{T}(V1,V4)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #154: disj( #18, exists( #19, #131 ) ), references = 1, size of lhs = 2:
% 15.52/15.69     P_set_type-{F}(V0), pppp2-{F}(V1,V2) | pppp1-{T}(V1,V2)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #157: mergings( V0 == V2; #155 ), references = 1, size of lhs = 3:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2) | pppp22-{T}(V2,V0)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #159: exists( #78, #61 ), references = 1, size of lhs = 1:
% 15.52/15.69     pppp13-{F}(V0,V1,V2,V3) | P_ordered_pair-{T}(V1,V2,V0)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #161: exists( #78, #11 ), references = 1, size of lhs = 1:
% 15.52/15.69     pppp6-{F}(V0,V1,V2,V3,V4) | P_ordered_pair-{T}(V2,V3,V1)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #165: mergings( V4 == V8; #163 ), references = 3, size of lhs = 7:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V1,V2,V3), P_subset_type-{F}(V3,V4), ilf_type-{F}(V5,V4), pppp16-{F}(V5,V1,V2,V6) | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #169: mergings( V2 == V7; #167 ), references = 2, size of lhs = 10:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), P_cross_product-{F}(V1,V2,V3), P_relation_type-{F}(V1,V2,V4), ilf_type-{F}(V5,V4), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), P_cross_product-{F}(V6,V7,V3), pppp16-{F}(V5,V6,V7,V8) | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #175: mergings( V0 == V4; #173 ), references = 4, size of lhs = 7:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2), ilf_type-{F}(V2,V0), P_member_type-{F}(V2,V3), P_power_set-{F}(V4,V2), ilf_type-{F}(V4,V0) | ilf_type-{T}(V1,V3)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #185: disj( #40, input ), references = 1, size of lhs = 8:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2), ilf_type-{F}(V2,V0), P_member_type-{F}(V2,V3), P_relation_type-{F}(V4,V5,V3), pppp16-{F}(V1,V4,V5,V6), P_cross_product-{F}(V4,V5,V7) | empty-{T}(V2)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #187: mergings( V0 == V4; #183 ), references = 1, size of lhs = 13:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2), ilf_type-{F}(V2,V0), P_member_type-{F}(V2,V3), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), P_relation_type-{F}(V4,V5,V3), P_cross_product-{F}(V4,V5,V6), ilf_type-{F}(V7,V0), ilf_type-{F}(V8,V0), P_cross_product-{F}(V7,V8,V6), pppp16-{F}(V1,V7,V8,V9) | empty-{T}(V2)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #189: mergings( V0 == V4; #184 ), references = 1, size of lhs = 10:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2), ilf_type-{F}(V2,V0), P_member_type-{F}(V2,V3), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), P_cross_product-{F}(V4,V5,V6), P_subset_type-{F}(V6,V3), pppp16-{F}(V1,V4,V5,V7) | empty-{T}(V2)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #202: mergings( V0 == V3, V3 == V4; #199 ), references = 1, size of lhs = 5:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2), ilf_type-{F}(V2,V0), P_member_type-{F}(V2,V3) | pppp21-{T}(V3)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #217: mergings( V2 == V5, V5 == V8; #212 ), references = 3, size of lhs = 14:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V1,V2), ilf_type-{F}(V2,V0), member-{F}(V3,V2), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), P_power_set-{F}(V4,V2), P_subset_type-{F}(V4,V5), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), P_cross_product-{F}(V6,V7,V8), P_subset_type-{F}(V8,V5), pppp16-{F}(V3,V6,V7,V9) | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #219: mergings( V2 == V5; #213 ), references = 3, size of lhs = 12:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V1,V2), ilf_type-{F}(V2,V0), member-{F}(V3,V2), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), P_power_set-{F}(V4,V2), P_subset_type-{F}(V4,V5), P_relation_type-{F}(V6,V7,V5), pppp16-{F}(V3,V6,V7,V8), P_cross_product-{F}(V6,V7,V9) | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #222: mergings( V2 == V5, V5 == V8; #214 ), references = 3, size of lhs = 17:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V1,V2), ilf_type-{F}(V2,V0), member-{F}(V3,V2), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), P_power_set-{F}(V4,V2), P_subset_type-{F}(V4,V5), ilf_type-{F}(V6,V0), ilf_type-{F}(V7,V0), P_relation_type-{F}(V6,V7,V5), P_cross_product-{F}(V6,V7,V8), ilf_type-{F}(V9,V0), ilf_type-{F}(V10,V0), P_cross_product-{F}(V9,V10,V8), pppp16-{F}(V3,V9,V10,V11) | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #233: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V10; #226 ), references = 1, size of lhs = 15:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V1,V2), ilf_type-{F}(V2,V0), P_power_set-{F}(V3,V2), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), P_power_set-{F}(V5,V2), P_subset_type-{F}(V5,V6), ilf_type-{F}(V7,V0), ilf_type-{F}(V8,V0), P_cross_product-{F}(V7,V8,V9), P_subset_type-{F}(V9,V6), pppp16-{F}(V4,V7,V8,V10) | pppp20-{T}(V4,V1,V0)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #237: mergings( V0 == V3, V3 == V5, V5 == V7; #227 ), references = 1, size of lhs = 13:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V1,V2), ilf_type-{F}(V2,V0), P_power_set-{F}(V3,V2), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), P_power_set-{F}(V5,V2), P_subset_type-{F}(V5,V6), P_relation_type-{F}(V7,V8,V6), pppp16-{F}(V4,V7,V8,V9), P_cross_product-{F}(V7,V8,V10) | pppp20-{T}(V4,V1,V0)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #242: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V10; #228 ), references = 1, size of lhs = 18:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_power_set-{F}(V1,V2), ilf_type-{F}(V2,V0), P_power_set-{F}(V3,V2), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), P_power_set-{F}(V5,V2), P_subset_type-{F}(V5,V6), ilf_type-{F}(V7,V0), ilf_type-{F}(V8,V0), P_relation_type-{F}(V7,V8,V6), P_cross_product-{F}(V7,V8,V9), ilf_type-{F}(V10,V0), ilf_type-{F}(V11,V0), P_cross_product-{F}(V10,V11,V9), pppp16-{F}(V4,V10,V11,V12) | pppp20-{T}(V4,V1,V0)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #261: mergings( V2 == V6, V6 == V8, V8 == V10; #257 ), references = 1, size of lhs = 12:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_subset_type-{F}(V1,V2), P_power_set-{F}(V1,V3), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V2), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), P_power_set-{F}(V5,V3), ilf_type-{F}(V6,V0), P_power_set-{F}(V6,V3), pppp19-{F}(V4,V6,V0) | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #301: disj( #18, mergings( V2 == V6, V6 == V8, V8 == V10; #257 ) ), references = 4, size of lhs = 11:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), P_subset_type-{F}(V1,V2), P_power_set-{F}(V1,V3), ilf_type-{F}(V3,V0), ilf_type-{F}(V4,V2), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), P_power_set-{F}(V5,V3), ilf_type-{F}(V6,V0), P_power_set-{F}(V6,V3) | pppp1-{T}(V4,V6)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #322: mergings( V2 == V4, V4 == V7; #317 ), references = 1, size of lhs = 17:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V2,V3), ilf_type-{F}(V4,V0), P_power_set-{F}(V4,V5), P_subset_type-{F}(V5,V3), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), P_power_set-{F}(V6,V5), P_subset_type-{F}(V6,V7), ilf_type-{F}(V8,V0), ilf_type-{F}(V9,V0), P_cross_product-{F}(V8,V9,V10), P_subset_type-{F}(V10,V7), pppp16-{F}(V1,V8,V9,V11) | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #325: mergings( V2 == V4, V4 == V7; #318 ), references = 1, size of lhs = 15:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V2,V3), ilf_type-{F}(V4,V0), P_power_set-{F}(V4,V5), P_subset_type-{F}(V5,V3), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), P_power_set-{F}(V6,V5), P_subset_type-{F}(V6,V7), P_relation_type-{F}(V8,V9,V7), pppp16-{F}(V1,V8,V9,V10), P_cross_product-{F}(V8,V9,V11) | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #328: mergings( V2 == V4, V4 == V7; #319 ), references = 1, size of lhs = 20:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2), ilf_type-{F}(V2,V0), ilf_type-{F}(V2,V3), ilf_type-{F}(V4,V0), P_power_set-{F}(V4,V5), P_subset_type-{F}(V5,V3), ilf_type-{F}(V5,V0), ilf_type-{F}(V6,V0), P_power_set-{F}(V6,V5), P_subset_type-{F}(V6,V7), ilf_type-{F}(V8,V0), ilf_type-{F}(V9,V0), P_relation_type-{F}(V8,V9,V7), P_cross_product-{F}(V8,V9,V10), ilf_type-{F}(V11,V0), ilf_type-{F}(V12,V0), P_cross_product-{F}(V11,V12,V10), pppp16-{F}(V1,V11,V12,V13) | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #385: mergings( V0 == V3, V3 == V5; #380 ), references = 1, size of lhs = 14:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2), ilf_type-{F}(V3,V0), P_power_set-{F}(V3,V4), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), P_power_set-{F}(V5,V4), P_subset_type-{F}(V5,V6), ilf_type-{F}(V7,V0), ilf_type-{F}(V8,V0), P_cross_product-{F}(V7,V8,V9), P_subset_type-{F}(V9,V6), pppp16-{F}(V1,V7,V8,V10) | pppp19-{T}(V2,V4,V0)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #388: mergings( V0 == V3, V3 == V5; #381 ), references = 1, size of lhs = 12:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2), ilf_type-{F}(V3,V0), P_power_set-{F}(V3,V4), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), P_power_set-{F}(V5,V4), P_subset_type-{F}(V5,V6), P_relation_type-{F}(V7,V8,V6), pppp16-{F}(V1,V7,V8,V9), P_cross_product-{F}(V7,V8,V10) | pppp19-{T}(V2,V4,V0)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #391: mergings( V0 == V3, V3 == V5; #382 ), references = 1, size of lhs = 17:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), member-{F}(V1,V2), ilf_type-{F}(V3,V0), P_power_set-{F}(V3,V4), ilf_type-{F}(V4,V0), ilf_type-{F}(V5,V0), P_power_set-{F}(V5,V4), P_subset_type-{F}(V5,V6), ilf_type-{F}(V7,V0), ilf_type-{F}(V8,V0), P_relation_type-{F}(V7,V8,V6), P_cross_product-{F}(V7,V8,V9), ilf_type-{F}(V10,V0), ilf_type-{F}(V11,V0), P_cross_product-{F}(V10,V11,V9), pppp16-{F}(V1,V10,V11,V12) | pppp19-{T}(V2,V4,V0)
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #443: exists( #33, #441 ), references = 1, size of lhs = 3:
% 15.52/15.69     P_set_type-{F}(V0), pppp1-{F}(V1,V2), pppp20-{F}(V1,V2,V0) | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #451: mergings( V2 == V4, V4 == V5, V5 == V7, V7 == V12; #446 ), references = 1, size of lhs = 10:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_cross_product-{F}(V2,V3,V4), P_subset_type-{F}(V4,V5), pppp16-{F}(V1,V2,V3,V6), pppp1-{F}(V1,V7), P_subset_type-{F}(V7,V5), ilf_type-{F}(V7,V0) | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #457: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V10; #452 ), references = 1, size of lhs = 8:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_cross_product-{F}(V2,V3,V4), pppp1-{F}(V1,V4), ilf_type-{F}(V4,V0), pppp16-{F}(V1,V2,V3,V5) | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #469: mergings( V3 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V13, V12 == V14, V9 == V0, V10 == V1; #460 ), references = 1, size of lhs = 7:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), P_cross_product-{F}(V2,V3,V4), ilf_type-{F}(V4,V0), pppp16-{F}(V1,V2,V3,V5) | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #475: mergings( V3 == V5, V5 == V7, V6 == V8; #471 ), references = 1, size of lhs = 5:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), ilf_type-{F}(V3,V0), pppp16-{F}(V1,V2,V3,V4) | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #480: mergings( V4 == V5, V5 == V6; #477 ), references = 2, size of lhs = 4:
% 15.52/15.69     P_set_type-{F}(V0), ilf_type-{F}(V1,V0), ilf_type-{F}(V2,V0), pppp17-{F}(V1,V2,V3) | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #483: exists( #67, #481 ), references = 2, size of lhs = 3:
% 15.52/15.69     P_set_type-{F}(V0), pppp18-{F}(V1,V0), ilf_type-{F}(V1,V0) | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #486: exists( #66, #484 ), references = 1, size of lhs = 1:
% 15.52/15.69     P_set_type-{F}(V0) | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  #488: exists( #74, #485 ), references = 1, size of lhs = 0:
% 15.52/15.69     FALSE | FALSE
% 15.52/15.69        (used 0 times, uses = {})
% 15.52/15.69  
% 15.52/15.69  number of learnt formulas = 40
% 15.52/15.69  
% 15.52/15.69  
% 15.52/15.69  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.52/15.69  
% 15.52/15.69  randbase = 1
%------------------------------------------------------------------------------