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Geo-III---2018C.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SEU113+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n024.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 06:17:12 EDT 2022

% Result   : Theorem 4.41s 4.64s
% Output   : Refutation 4.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SEU113+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri Jul 22 18:43:26 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 4.41/4.64  GeoParameters:
% 4.41/4.64  
% 4.41/4.64  tptp_input =     1
% 4.41/4.64  tptp_output =    0
% 4.41/4.64  nonempty =       1
% 4.41/4.64  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.41/4.64  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 4.41/4.64  
% 4.41/4.64  
% 4.41/4.64  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.41/4.64  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.41/4.64  
% 4.41/4.64  RuleSystem INPUT:
% 4.41/4.64  
% 4.41/4.64  Initial Rules:
% 4.41/4.64  #0: input, references = 10, size of lhs = 2:
% 4.41/4.64     in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #1: input, references = 3, size of lhs = 1:
% 4.41/4.64     empty-{F}(V0) | finite-{T}(V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #2: input, references = 3, size of lhs = 1:
% 4.41/4.64     preboolean-{F}(V0) | cup_closed-{T}(V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #3: input, references = 3, size of lhs = 1:
% 4.41/4.64     preboolean-{F}(V0) | diff_closed-{T}(V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #4: input, references = 3, size of lhs = 3:
% 4.41/4.64     P_powerset-{F}(V0,V1), finite-{F}(V0), element-{F}(V2,V1) | finite-{T}(V2)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #5: input, references = 3, size of lhs = 2:
% 4.41/4.64     cup_closed-{F}(V0), diff_closed-{F}(V0) | preboolean-{T}(V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #6: input, references = 3, size of lhs = 2:
% 4.41/4.64     P_finite_subsets-{F}(V1,V2), element-{F}(V0,V2) | finite-{T}(V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #7: input, references = 3, size of lhs = 1:
% 4.41/4.64     subset-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #8: input, references = 11, size of lhs = 1:
% 4.41/4.64     pppp0-{F}(V0,V1) | subset-{T}(V0,V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #9: input, references = 10, size of lhs = 2:
% 4.41/4.64     pppp0-{F}(V0,V1), in-{F}(V2,V0) | in-{T}(V2,V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #10: input, references = 14, size of lhs = 2:
% 4.41/4.64     #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp18-{T}(V0,V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #11: input, references = 4, size of lhs = 1:
% 4.41/4.64     pppp18-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #12: input, references = 6, size of lhs = 2:
% 4.41/4.64     pppp3-{F}(V0,V1,V2), in-{F}(V2,V1) | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #13: input, references = 4, size of lhs = 1:
% 4.41/4.64     pppp3-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #14: input, references = 4, size of lhs = 2:
% 4.41/4.64     preboolean-{F}(V2), P_finite_subsets-{F}(V1,V2) | pppp2-{T}(V1,V2)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #15: input, references = 3, size of lhs = 4:
% 4.41/4.64     preboolean-{F}(V0), P_finite_subsets-{F}(V1,V2), pppp2-{F}(V1,V0), V0 == V2 | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #16: input, references = 7, size of lhs = 2:
% 4.41/4.64     pppp2-{F}(V0,V1), in-{F}(V2,V1) | pppp1-{T}(V0,V2)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #17: input, references = 12, size of lhs = 2:
% 4.41/4.64     pppp2-{F}(V0,V1), pppp1-{F}(V0,V2) | in-{T}(V2,V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #18: input, references = 6, size of lhs = 2:
% 4.41/4.64     #-{F} V0, #-{F} V1 | pppp2-{T}(V0,V1), pppp19-{T}(V0,V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #19: input, references = 3, size of lhs = 1:
% 4.41/4.64     pppp19-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #20: input, references = 5, size of lhs = 3:
% 4.41/4.64     pppp4-{F}(V0,V1,V2), pppp1-{F}(V0,V2), in-{F}(V2,V1) | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #21: input, references = 5, size of lhs = 1:
% 4.41/4.64     pppp4-{F}(V0,V1,V2) | in-{T}(V2,V1), pppp1-{T}(V0,V2)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #22: input, references = 4, size of lhs = 1:
% 4.41/4.64     pppp1-{F}(V0,V1) | subset-{T}(V1,V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #23: input, references = 3, size of lhs = 1:
% 4.41/4.64     pppp1-{F}(V0,V1) | finite-{T}(V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #24: input, references = 7, size of lhs = 2:
% 4.41/4.64     subset-{F}(V1,V0), finite-{F}(V1) | pppp1-{T}(V0,V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #25: input, references = 4, size of lhs = 1:
% 4.41/4.64     P_finite_subsets-{F}(V0,V1) | preboolean-{T}(V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #26: input, references = 3, size of lhs = 1:
% 4.41/4.64     #-{F} V0 | EXISTS V1: pppp5-{T}(V0,V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #27: input, references = 3, size of lhs = 1:
% 4.41/4.64     pppp5-{F}(V0,V1) | element-{T}(V1,V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #28: input, references = 5, size of lhs = 2:
% 4.41/4.64     P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #29: input, references = 3, size of lhs = 1:
% 4.41/4.64     P_powerset-{F}(V0,V1) | cup_closed-{T}(V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #30: input, references = 3, size of lhs = 1:
% 4.41/4.64     P_powerset-{F}(V0,V1) | diff_closed-{T}(V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #31: input, references = 3, size of lhs = 1:
% 4.41/4.64     P_powerset-{F}(V0,V1) | preboolean-{T}(V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #32: input, references = 3, size of lhs = 2:
% 4.41/4.64     P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #33: input, references = 3, size of lhs = 1:
% 4.41/4.64     P_empty_set-{F}(V0) | empty-{T}(V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #34: input, references = 4, size of lhs = 3:
% 4.41/4.64     P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V2), empty-{F}(V2) | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #35: input, references = 3, size of lhs = 2:
% 4.41/4.64     P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V2) | cup_closed-{T}(V2)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #36: input, references = 3, size of lhs = 2:
% 4.41/4.64     P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V2) | diff_closed-{T}(V2)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #37: input, references = 3, size of lhs = 2:
% 4.41/4.64     P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V2) | preboolean-{T}(V2)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #38: input, references = 3, size of lhs = 1:
% 4.41/4.64     P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #39: input, references = 3, size of lhs = 1:
% 4.41/4.64     pppp6-{F}(V0) | finite-{T}(V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #40: input, references = 3, size of lhs = 2:
% 4.41/4.64     pppp6-{F}(V0), empty-{F}(V0) | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #41: input, references = 3, size of lhs = 1:
% 4.41/4.64     P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #42: input, references = 3, size of lhs = 1:
% 4.41/4.64     pppp8-{F}(V0) | pppp7-{T}(V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #43: input, references = 3, size of lhs = 1:
% 4.41/4.64     pppp7-{F}(V0) | preboolean-{T}(V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #44: input, references = 3, size of lhs = 1:
% 4.41/4.64     pppp7-{F}(V0) | diff_closed-{T}(V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #45: input, references = 3, size of lhs = 1:
% 4.41/4.64     pppp7-{F}(V0) | cap_closed-{T}(V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #46: input, references = 3, size of lhs = 1:
% 4.41/4.64     pppp7-{F}(V0) | cup_closed-{T}(V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #47: input, references = 3, size of lhs = 2:
% 4.41/4.64     pppp7-{F}(V0), empty-{F}(V0) | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #48: input, references = 4, size of lhs = 2:
% 4.41/4.64     P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp20-{T}(V2)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #49: input, references = 3, size of lhs = 1:
% 4.41/4.64     pppp20-{F}(V0) | EXISTS V1: pppp9-{T}(V1,V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #50: input, references = 3, size of lhs = 2:
% 4.41/4.64     pppp9-{F}(V0,V1), empty-{F}(V0) | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #51: input, references = 3, size of lhs = 1:
% 4.41/4.64     pppp9-{F}(V0,V1) | element-{T}(V0,V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #52: input, references = 4, size of lhs = 1:
% 4.41/4.64     P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #53: input, references = 5, size of lhs = 1:
% 4.41/4.64     pppp10-{F}(V0) | empty-{T}(V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #54: input, references = 4, size of lhs = 2:
% 4.41/4.64     P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp12-{T}(V2,V3)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #55: input, references = 4, size of lhs = 1:
% 4.41/4.64     pppp12-{F}(V0,V1) | pppp11-{T}(V1,V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #56: input, references = 3, size of lhs = 1:
% 4.41/4.64     pppp11-{F}(V0,V1) | finite-{T}(V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #57: input, references = 3, size of lhs = 1:
% 4.41/4.64     pppp11-{F}(V0,V1) | natural-{T}(V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #58: input, references = 3, size of lhs = 1:
% 4.41/4.64     pppp11-{F}(V0,V1) | ordinal-{T}(V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #59: input, references = 3, size of lhs = 1:
% 4.41/4.64     pppp11-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #60: input, references = 3, size of lhs = 1:
% 4.41/4.64     pppp11-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #61: input, references = 3, size of lhs = 1:
% 4.41/4.64     pppp11-{F}(V0,V1) | one_to_one-{T}(V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #62: input, references = 3, size of lhs = 1:
% 4.41/4.64     pppp11-{F}(V0,V1) | function-{T}(V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #63: input, references = 3, size of lhs = 1:
% 4.41/4.64     pppp11-{F}(V0,V1) | relation-{T}(V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #64: input, references = 4, size of lhs = 1:
% 4.41/4.64     pppp11-{F}(V0,V1) | empty-{T}(V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #65: input, references = 3, size of lhs = 1:
% 4.41/4.64     pppp11-{F}(V0,V1) | element-{T}(V0,V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #66: input, references = 4, size of lhs = 2:
% 4.41/4.64     P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp13-{T}(V3,V2)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #67: input, references = 4, size of lhs = 1:
% 4.41/4.64     pppp13-{F}(V0,V1) | empty-{T}(V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #68: input, references = 3, size of lhs = 1:
% 4.41/4.64     pppp13-{F}(V0,V1) | element-{T}(V0,V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #69: input, references = 3, size of lhs = 1:
% 4.41/4.64     P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #70: input, references = 3, size of lhs = 2:
% 4.41/4.64     pppp14-{F}(V0), empty-{F}(V0) | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #71: input, references = 4, size of lhs = 2:
% 4.41/4.64     P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp21-{T}(V2)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #72: input, references = 3, size of lhs = 1:
% 4.41/4.64     pppp21-{F}(V0) | EXISTS V1: pppp15-{T}(V1,V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #73: input, references = 3, size of lhs = 1:
% 4.41/4.64     pppp15-{F}(V0,V1) | finite-{T}(V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #74: input, references = 3, size of lhs = 2:
% 4.41/4.64     pppp15-{F}(V0,V1), empty-{F}(V0) | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #75: input, references = 3, size of lhs = 1:
% 4.41/4.64     pppp15-{F}(V0,V1) | element-{T}(V0,V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #76: input, references = 4, size of lhs = 2:
% 4.41/4.64     P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp22-{T}(V2)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #77: input, references = 3, size of lhs = 1:
% 4.41/4.64     pppp22-{F}(V0) | EXISTS V1: pppp16-{T}(V1,V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #78: input, references = 3, size of lhs = 1:
% 4.41/4.64     pppp16-{F}(V0,V1) | finite-{T}(V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #79: input, references = 3, size of lhs = 2:
% 4.41/4.64     pppp16-{F}(V0,V1), empty-{F}(V0) | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #80: input, references = 3, size of lhs = 1:
% 4.41/4.64     pppp16-{F}(V0,V1) | element-{T}(V0,V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #81: input, references = 3, size of lhs = 2:
% 4.41/4.64     P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #82: input, references = 4, size of lhs = 2:
% 4.41/4.64     P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #83: input, references = 4, size of lhs = 1:
% 4.41/4.64     P_empty_set-{F}(V0) | EXISTS V1: pppp17-{T}(V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #84: input, references = 4, size of lhs = 4:
% 4.41/4.64     pppp17-{F}(V0), P_finite_subsets-{F}(V0,V1), P_powerset-{F}(V0,V2), subset-{F}(V1,V2) | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #85: input, references = 6, size of lhs = 2:
% 4.41/4.64     P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #86: input, references = 4, size of lhs = 3:
% 4.41/4.64     P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #87: input, references = 8, size of lhs = 3:
% 4.41/4.64     P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #88: input, references = 3, size of lhs = 4:
% 4.41/4.64     P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #89: input, references = 6, size of lhs = 5:
% 4.41/4.64     P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #90: input, references = 8, size of lhs = 3:
% 4.41/4.64     P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #91: input, references = 6, size of lhs = 3:
% 4.41/4.64     P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #92: input, references = 5, size of lhs = 4:
% 4.41/4.64     P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #93: input, references = 4, size of lhs = 1:
% 4.41/4.64     #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #94: input, references = 4, size of lhs = 1:
% 4.41/4.64     #-{F} V0 | EXISTS V1: P_finite_subsets-{T}(V0,V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #95: input, references = 4, size of lhs = 0:
% 4.41/4.64     FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  number of initial rules = 96
% 4.41/4.64  
% 4.41/4.64  Simplifiers:
% 4.41/4.64  #96: unsound, references = 3, size of lhs = 3:
% 4.41/4.64     cap_closed-{F}(V0), cap_closed-{F}(V1), V0 == V1 | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #97: unsound, references = 3, size of lhs = 3:
% 4.41/4.64     P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #98: unsound, references = 3, size of lhs = 3:
% 4.41/4.64     P_finite_subsets-{F}(V0,V1), P_finite_subsets-{F}(V0,V3), V1 == V3 | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #99: unsound, references = 3, size of lhs = 3:
% 4.41/4.64     P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #100: unsound, references = 3, size of lhs = 3:
% 4.41/4.64     pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #101: unsound, references = 3, size of lhs = 3:
% 4.41/4.64     pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #102: unsound, references = 3, size of lhs = 3:
% 4.41/4.64     pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #103: unsound, references = 3, size of lhs = 3:
% 4.41/4.64     pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #104: unsound, references = 3, size of lhs = 3:
% 4.41/4.64     pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #105: unsound, references = 3, size of lhs = 3:
% 4.41/4.64     pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #106: unsound, references = 3, size of lhs = 3:
% 4.41/4.64     pppp9-{F}(V0,V1), pppp9-{F}(V2,V1), V0 == V2 | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #107: unsound, references = 3, size of lhs = 3:
% 4.41/4.64     pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #108: unsound, references = 3, size of lhs = 3:
% 4.41/4.64     pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #109: unsound, references = 3, size of lhs = 3:
% 4.41/4.64     pppp12-{F}(V0,V1), pppp12-{F}(V0,V3), V1 == V3 | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #110: unsound, references = 3, size of lhs = 3:
% 4.41/4.64     pppp13-{F}(V0,V1), pppp13-{F}(V2,V1), V0 == V2 | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #111: unsound, references = 3, size of lhs = 3:
% 4.41/4.64     pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #112: unsound, references = 3, size of lhs = 3:
% 4.41/4.64     pppp15-{F}(V0,V1), pppp15-{F}(V2,V1), V0 == V2 | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #113: unsound, references = 3, size of lhs = 3:
% 4.41/4.64     pppp16-{F}(V0,V1), pppp16-{F}(V2,V1), V0 == V2 | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #114: unsound, references = 3, size of lhs = 3:
% 4.41/4.64     pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  number of simplifiers = 19
% 4.41/4.64  
% 4.41/4.64  Learnt:
% 4.41/4.64  #122: mergings( V0 == V2; #119 ), references = 1, size of lhs = 1:
% 4.41/4.64     P_empty_set-{F}(V0) | pppp10-{T}(V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #124: mergings( V0 == V2; #120 ), references = 1, size of lhs = 2:
% 4.41/4.64     P_empty_set-{F}(V0), empty-{F}(V1) | pppp10-{T}(V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #140: disj( #85, #16+#17+#0 ), references = 2, size of lhs = 4:
% 4.41/4.64     P_empty_set-{F}(V0), pppp2-{F}(V1,V2), pppp2-{F}(V1,V3), element-{F}(V3,V2) | empty-{T}(V2)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #142: mergings( V0 == V3; #138 ), references = 1, size of lhs = 5:
% 4.41/4.64     P_empty_set-{F}(V0), empty-{F}(V1), pppp2-{F}(V2,V1), pppp2-{F}(V2,V3), element-{F}(V4,V3) | empty-{T}(V3)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #144: mergings( V0 == V3; #139 ), references = 1, size of lhs = 7:
% 4.41/4.64     P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), pppp2-{F}(V4,V3), pppp2-{F}(V4,V5), element-{F}(V6,V5) | empty-{T}(V5)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #152: mergings( V2 == V3; #148 ), references = 1, size of lhs = 4:
% 4.41/4.64     P_empty_set-{F}(V0), pppp2-{F}(V1,V2), element-{F}(V3,V2), P_finite_subsets-{F}(V4,V2) | pppp19-{T}(V1,V3)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #154: mergings( V2 == V3; #149 ), references = 1, size of lhs = 4:
% 4.41/4.64     P_empty_set-{F}(V0), pppp2-{F}(V1,V2), V2 == V0, element-{F}(V3,V2) | pppp19-{T}(V1,V3)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #157: mergings( V2 == V3, V5 == V3; #150 ), references = 1, size of lhs = 5:
% 4.41/4.64     P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, pppp2-{F}(V2,V0), element-{F}(V3,V0) | pppp19-{T}(V2,V3)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #171: mergings( V0 == V3; #167 ), references = 1, size of lhs = 3:
% 4.41/4.64     P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp22-{T}(V2)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #174: mergings( V0 == V3, V1 == V3; #168 ), references = 1, size of lhs = 4:
% 4.41/4.64     P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp22-{T}(V2)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #177: mergings( V0 == V3, V1 == V3; #169 ), references = 1, size of lhs = 3:
% 4.41/4.64     P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp22-{T}(V2)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #188: disj( #10, #9+#0 ), references = 1, size of lhs = 1:
% 4.41/4.64     in-{F}(V0,V1) | pppp18-{T}(V1,V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #189: disj( #10, #9+#91 ), references = 1, size of lhs = 3:
% 4.41/4.64     P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V3) | pppp18-{T}(V3,V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #190: disj( #10, #9+#89 ), references = 1, size of lhs = 5:
% 4.41/4.64     P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), in-{F}(V4,V5) | pppp18-{T}(V5,V3)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #198: mergings( V0 == V3; #194 ), references = 1, size of lhs = 3:
% 4.41/4.64     P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp20-{T}(V2)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #201: mergings( V0 == V3, V1 == V3; #195 ), references = 1, size of lhs = 4:
% 4.41/4.64     P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp20-{T}(V2)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #204: mergings( V0 == V3, V1 == V3; #196 ), references = 1, size of lhs = 3:
% 4.41/4.64     P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp20-{T}(V2)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #209: disj( #18, input ), references = 1, size of lhs = 3:
% 4.41/4.64     preboolean-{F}(V0), P_finite_subsets-{F}(V1,V2), V0 == V2 | pppp19-{T}(V1,V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #222: mergings( V0 == V4; #220 ), references = 1, size of lhs = 2:
% 4.41/4.64     P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp12-{T}(V2,V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #236: mergings( V0 == V3; #232 ), references = 1, size of lhs = 3:
% 4.41/4.64     P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp21-{T}(V2)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #239: mergings( V0 == V3, V1 == V3; #233 ), references = 1, size of lhs = 4:
% 4.41/4.64     P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp21-{T}(V2)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #242: mergings( V0 == V3, V1 == V3; #234 ), references = 1, size of lhs = 3:
% 4.41/4.64     P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp21-{T}(V2)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #251: mergings( V0 == V3; #249 ), references = 3, size of lhs = 5:
% 4.41/4.64     P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V3) | empty-{T}(V3)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #295: mergings( V2 == V3; #291 ), references = 1, size of lhs = 5:
% 4.41/4.64     P_empty_set-{F}(V0), pppp2-{F}(V1,V2), pppp2-{F}(V1,V3), P_powerset-{F}(V4,V2), P_powerset-{F}(V5,V2) | pppp18-{T}(V3,V4)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #447: mergings( V2 == V3; #443 ), references = 1, size of lhs = 6:
% 4.41/4.64     P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), element-{F}(V4,V5), P_powerset-{F}(V6,V5) | pppp18-{T}(V5,V3)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #450: mergings( V2 == V3, V3 == V6; #445 ), references = 1, size of lhs = 6:
% 4.41/4.64     empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), P_powerset-{F}(V3,V1), element-{F}(V4,V5), V5 == V2 | pppp18-{T}(V5,V3)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #526: disj( #85, input ), references = 3, size of lhs = 3:
% 4.41/4.64     P_empty_set-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V3,V2) | in-{T}(V1,V2)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #528: mergings( V0 == V3; #525 ), references = 1, size of lhs = 3:
% 4.41/4.64     P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #569: mergings( V0 == V4; #567 ), references = 1, size of lhs = 2:
% 4.41/4.64     P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp13-{T}(V0,V2)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #579: disj( #10, #8+#24+#17+#0 ), references = 1, size of lhs = 2:
% 4.41/4.64     finite-{F}(V0), pppp2-{F}(V1,V0) | pppp18-{T}(V0,V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #658: disj( #21, #17+#0 ), references = 4, size of lhs = 2:
% 4.41/4.64     pppp2-{F}(V0,V1), pppp4-{F}(V0,V2,V1) | in-{T}(V1,V2)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #685: mergings( V2 == V3; #683 ), references = 1, size of lhs = 5:
% 4.41/4.64     P_empty_set-{F}(V0), finite-{F}(V1), in-{F}(V1,V2), pppp2-{F}(V3,V1), P_powerset-{F}(V3,V4) | pppp18-{T}(V2,V4)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #771: disj( #10, #9+#12 ), references = 1, size of lhs = 2:
% 4.41/4.64     in-{F}(V0,V1), pppp3-{F}(V2,V3,V0) | pppp18-{T}(V1,V3)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #815: disj( #18, #658+#91 ), references = 1, size of lhs = 3:
% 4.41/4.64     P_empty_set-{F}(V0), empty-{F}(V1), pppp4-{F}(V2,V1,V3) | pppp19-{T}(V2,V3)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #816: disj( #18, #658+#89 ), references = 1, size of lhs = 5:
% 4.41/4.64     P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), pppp4-{F}(V4,V3,V5) | pppp19-{T}(V4,V5)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #817: disj( #18, #658+#20 ), references = 1, size of lhs = 3:
% 4.41/4.64     pppp1-{F}(V0,V1), pppp4-{F}(V0,V2,V1), pppp4-{F}(V3,V2,V1) | pppp19-{T}(V3,V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #837: disj( #10, #9+#0 ), references = 1, size of lhs = 2:
% 4.41/4.64     in-{F}(V0,V1), in-{F}(V1,V2) | pppp18-{T}(V2,V0)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #917: disj( #21, input ), references = 1, size of lhs = 3:
% 4.41/4.64     P_empty_set-{F}(V0), empty-{F}(V1), pppp4-{F}(V2,V1,V3) | pppp1-{T}(V2,V3)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #918: disj( #21, input ), references = 1, size of lhs = 5:
% 4.41/4.64     P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), pppp4-{F}(V4,V3,V5) | pppp1-{T}(V4,V5)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #919: disj( #21, input ), references = 2, size of lhs = 2:
% 4.41/4.64     in-{F}(V0,V1), pppp4-{F}(V2,V0,V1) | pppp1-{T}(V2,V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #981: mergings( V2 == V3; #979 ), references = 1, size of lhs = 6:
% 4.41/4.64     P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), pppp4-{F}(V4,V5,V2), pppp2-{F}(V4,V6), pppp3-{F}(V7,V6,V2) | pppp18-{T}(V5,V1)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #1007: disj( #10, #8+#24+#17+#20 ), references = 1, size of lhs = 4:
% 4.41/4.64     finite-{F}(V0), pppp1-{F}(V1,V0), pppp4-{F}(V1,V2,V0), pppp2-{F}(V3,V2) | pppp18-{T}(V0,V3)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #1019: disj( #10, #8+#84 ), references = 2, size of lhs = 3:
% 4.41/4.64     pppp17-{F}(V0), P_finite_subsets-{F}(V0,V1), P_powerset-{F}(V0,V2) | pppp18-{T}(V1,V2)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #1048: disj( #10, #8+#24+#17+#9+#0 ), references = 1, size of lhs = 3:
% 4.41/4.64     finite-{F}(V0), pppp0-{F}(V1,V0), pppp2-{F}(V2,V1) | pppp18-{T}(V0,V2)
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #1089: mergings( V3 == V4; #1087 ), references = 2, size of lhs = 5:
% 4.41/4.64     P_empty_set-{F}(V0), pppp2-{F}(V1,V2), pppp18-{F}(V2,V3), P_powerset-{F}(V1,V3), P_powerset-{F}(V4,V3) | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #1096: exists( #94, #1094 ), references = 1, size of lhs = 4:
% 4.41/4.64     pppp17-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), P_powerset-{F}(V3,V1) | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #1098: exists( #93, #1095 ), references = 1, size of lhs = 2:
% 4.41/4.64     pppp17-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 4.41/4.64        (used 0 times, uses = {})
% 4.41/4.64  
% 4.41/4.64  #1101: mergings( V0 == V2; #1099 ), references = 1, size of lhs = 1:
% 4.41/4.64     P_empty_set-{F}(V0) | FALSE
% 4.41/4.65        (used 0 times, uses = {})
% 4.41/4.65  
% 4.41/4.65  #1103: exists( #95, #1099 ), references = 1, size of lhs = 0:
% 4.41/4.65     FALSE | FALSE
% 4.41/4.65        (used 0 times, uses = {})
% 4.41/4.65  
% 4.41/4.65  number of learnt formulas = 49
% 4.41/4.65  
% 4.41/4.65  
% 4.41/4.65  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.41/4.65  
% 4.41/4.65  randbase = 1
%------------------------------------------------------------------------------