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

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%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SEU234+1 : TPTP v8.1.0. Released v3.3.0.
% 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 06:17:34 EDT 2022

% Result   : Theorem 0.81s 1.01s
% Output   : Refutation 0.81s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEU234+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12  % 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 : Fri Jul 22 19:09:21 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.81/1.01  GeoParameters:
% 0.81/1.01  
% 0.81/1.01  tptp_input =     1
% 0.81/1.01  tptp_output =    0
% 0.81/1.01  nonempty =       1
% 0.81/1.01  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.81/1.01  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.81/1.01  
% 0.81/1.01  
% 0.81/1.01  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.81/1.01  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.81/1.01  
% 0.81/1.01  RuleSystem INPUT:
% 0.81/1.01  
% 0.81/1.01  Initial Rules:
% 0.81/1.01  #0: input, references = 3, size of lhs = 2:
% 0.81/1.01     in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #1: input, references = 3, size of lhs = 1:
% 0.81/1.01     empty-{F}(V0) | function-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #2: input, references = 3, size of lhs = 1:
% 0.81/1.01     ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #3: input, references = 3, size of lhs = 1:
% 0.81/1.01     ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #4: input, references = 3, size of lhs = 1:
% 0.81/1.01     empty-{F}(V0) | relation-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #5: input, references = 3, size of lhs = 3:
% 0.81/1.01     relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #6: input, references = 4, size of lhs = 2:
% 0.81/1.01     epsilon_transitive-{F}(V0), epsilon_connected-{F}(V0) | ordinal-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #7: input, references = 3, size of lhs = 1:
% 0.81/1.01     empty-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #8: input, references = 3, size of lhs = 1:
% 0.81/1.01     empty-{F}(V0) | epsilon_connected-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #9: input, references = 3, size of lhs = 1:
% 0.81/1.01     empty-{F}(V0) | ordinal-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #10: input, references = 3, size of lhs = 1:
% 0.81/1.01     epsilon_transitive-{F}(V0) | pppp0-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #11: input, references = 4, size of lhs = 1:
% 0.81/1.01     pppp0-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #12: input, references = 3, size of lhs = 2:
% 0.81/1.01     pppp0-{F}(V0), in-{F}(V1,V0) | subset-{T}(V1,V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #13: input, references = 4, size of lhs = 1:
% 0.81/1.01     #-{F} V0 | pppp0-{T}(V0), pppp22-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #14: input, references = 4, size of lhs = 1:
% 0.81/1.01     pppp22-{F}(V0) | EXISTS V1: pppp3-{T}(V0,V1)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #15: input, references = 4, size of lhs = 2:
% 0.81/1.01     pppp3-{F}(V0,V1), subset-{F}(V1,V0) | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #16: input, references = 4, size of lhs = 1:
% 0.81/1.01     pppp3-{F}(V0,V1) | in-{T}(V1,V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #17: input, references = 3, size of lhs = 1:
% 0.81/1.01     epsilon_connected-{F}(V0) | pppp1-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #18: input, references = 4, size of lhs = 1:
% 0.81/1.01     pppp1-{F}(V0) | epsilon_connected-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #19: input, references = 4, size of lhs = 4:
% 0.81/1.01     pppp1-{F}(V0), in-{F}(V1,V0), in-{F}(V2,V0), V2 == V1 | in-{T}(V2,V1), in-{T}(V1,V2)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #20: input, references = 4, size of lhs = 1:
% 0.81/1.01     #-{F} V0 | pppp1-{T}(V0), pppp23-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #21: input, references = 5, size of lhs = 1:
% 0.81/1.01     pppp23-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #22: input, references = 8, size of lhs = 1:
% 0.81/1.01     pppp5-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V2,V1)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #23: input, references = 5, size of lhs = 1:
% 0.81/1.01     pppp5-{F}(V0,V1) | in-{T}(V1,V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #24: input, references = 7, size of lhs = 2:
% 0.81/1.01     pppp4-{F}(V0,V1,V2), in-{F}(V2,V1) | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #25: input, references = 6, size of lhs = 1:
% 0.81/1.01     pppp4-{F}(V0,V2,V2) | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #26: input, references = 3, size of lhs = 2:
% 0.81/1.01     pppp4-{F}(V0,V1,V2), in-{F}(V1,V2) | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #27: input, references = 8, size of lhs = 1:
% 0.81/1.01     pppp4-{F}(V0,V1,V2) | in-{T}(V1,V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #28: input, references = 3, size of lhs = 1:
% 0.81/1.01     ordinal-{F}(V0) | pppp2-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #29: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp2-{F}(V0) | ordinal-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #30: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp2-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #31: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp2-{F}(V0) | epsilon_connected-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #32: input, references = 3, size of lhs = 2:
% 0.81/1.01     epsilon_transitive-{F}(V0), epsilon_connected-{F}(V0) | pppp2-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #33: input, references = 6, size of lhs = 1:
% 0.81/1.01     #-{F} V0 | EXISTS V1: pppp6-{T}(V0,V1)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #34: input, references = 8, size of lhs = 1:
% 0.81/1.01     pppp6-{F}(V0,V1) | element-{T}(V1,V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #35: input, references = 3, size of lhs = 1:
% 0.81/1.01     P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #36: input, references = 3, size of lhs = 1:
% 0.81/1.01     P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #37: input, references = 3, size of lhs = 1:
% 0.81/1.01     P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #38: input, references = 3, size of lhs = 1:
% 0.81/1.01     P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #39: input, references = 3, size of lhs = 1:
% 0.81/1.01     P_empty_set-{F}(V0) | pppp7-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #40: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp7-{F}(V0) | ordinal-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #41: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp7-{F}(V0) | epsilon_connected-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #42: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp7-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #43: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp7-{F}(V0) | empty-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #44: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp7-{F}(V0) | one_to_one-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #45: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp7-{F}(V0) | function-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #46: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp7-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #47: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp7-{F}(V0) | relation-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #48: input, references = 3, size of lhs = 1:
% 0.81/1.01     P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #49: input, references = 3, size of lhs = 1:
% 0.81/1.01     P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #50: input, references = 3, size of lhs = 1:
% 0.81/1.01     P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #51: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp8-{F}(V0) | function-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #52: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp8-{F}(V0) | relation-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #53: input, references = 3, size of lhs = 1:
% 0.81/1.01     P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #54: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp9-{F}(V0) | ordinal-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #55: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp9-{F}(V0) | epsilon_connected-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #56: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp9-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #57: input, references = 4, size of lhs = 1:
% 0.81/1.01     P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #58: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp10-{F}(V0) | relation-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #59: input, references = 5, size of lhs = 1:
% 0.81/1.01     pppp10-{F}(V0) | empty-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #60: input, references = 4, size of lhs = 1:
% 0.81/1.01     P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #61: input, references = 5, size of lhs = 1:
% 0.81/1.01     pppp11-{F}(V0) | empty-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #62: input, references = 4, size of lhs = 1:
% 0.81/1.01     P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #63: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp12-{F}(V0) | function-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #64: input, references = 5, size of lhs = 1:
% 0.81/1.01     pppp12-{F}(V0) | empty-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #65: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp12-{F}(V0) | relation-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #66: input, references = 4, size of lhs = 1:
% 0.81/1.01     P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #67: input, references = 5, size of lhs = 1:
% 0.81/1.01     pppp14-{F}(V0) | pppp13-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #68: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp13-{F}(V0) | ordinal-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #69: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp13-{F}(V0) | epsilon_connected-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #70: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp13-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #71: input, references = 5, size of lhs = 1:
% 0.81/1.01     pppp13-{F}(V0) | empty-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #72: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp13-{F}(V0) | one_to_one-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #73: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp13-{F}(V0) | function-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #74: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp13-{F}(V0) | relation-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #75: input, references = 3, size of lhs = 1:
% 0.81/1.01     P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #76: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp15-{F}(V0) | relation-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #77: input, references = 3, size of lhs = 2:
% 0.81/1.01     pppp15-{F}(V0), empty-{F}(V0) | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #78: input, references = 3, size of lhs = 1:
% 0.81/1.01     P_empty_set-{F}(V0) | EXISTS V1: pppp16-{T}(V1)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #79: input, references = 3, size of lhs = 2:
% 0.81/1.01     pppp16-{F}(V0), empty-{F}(V0) | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #80: input, references = 3, size of lhs = 1:
% 0.81/1.01     P_empty_set-{F}(V0) | EXISTS V1: pppp17-{T}(V1)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #81: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp17-{F}(V0) | one_to_one-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #82: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp17-{F}(V0) | function-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #83: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp17-{F}(V0) | relation-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #84: input, references = 3, size of lhs = 1:
% 0.81/1.01     P_empty_set-{F}(V0) | EXISTS V1: pppp18-{T}(V1)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #85: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp18-{F}(V0) | ordinal-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #86: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp18-{F}(V0) | epsilon_connected-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #87: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp18-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #88: input, references = 3, size of lhs = 2:
% 0.81/1.01     pppp18-{F}(V0), empty-{F}(V0) | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #89: input, references = 3, size of lhs = 1:
% 0.81/1.01     P_empty_set-{F}(V0) | EXISTS V1: pppp19-{T}(V1)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #90: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp19-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #91: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp19-{F}(V0) | relation-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #92: input, references = 3, size of lhs = 1:
% 0.81/1.01     P_empty_set-{F}(V0) | EXISTS V1: pppp20-{T}(V1)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #93: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp20-{F}(V0) | function-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #94: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp20-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #95: input, references = 3, size of lhs = 1:
% 0.81/1.01     pppp20-{F}(V0) | relation-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #96: input, references = 3, size of lhs = 2:
% 0.81/1.01     P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #97: input, references = 5, size of lhs = 2:
% 0.81/1.01     P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #98: input, references = 5, size of lhs = 4:
% 0.81/1.01     P_empty_set-{F}(V0), ordinal-{F}(V1), ordinal-{F}(V2), V1 == V2 | in-{T}(V1,V2), in-{T}(V2,V1)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #99: input, references = 5, size of lhs = 2:
% 0.81/1.01     P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #100: input, references = 4, size of lhs = 1:
% 0.81/1.01     P_empty_set-{F}(V0) | EXISTS V1: pppp21-{T}(V1)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #101: input, references = 4, size of lhs = 2:
% 0.81/1.01     pppp21-{F}(V0), ordinal-{F}(V0) | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #102: input, references = 4, size of lhs = 2:
% 0.81/1.01     pppp21-{F}(V0), in-{F}(V1,V0) | subset-{T}(V1,V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #103: input, references = 6, size of lhs = 2:
% 0.81/1.01     pppp21-{F}(V0), in-{F}(V1,V0) | ordinal-{T}(V1)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #104: input, references = 3, size of lhs = 3:
% 0.81/1.01     P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #105: input, references = 4, size of lhs = 3:
% 0.81/1.01     P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #106: input, references = 5, size of lhs = 4:
% 0.81/1.01     P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #107: input, references = 3, size of lhs = 5:
% 0.81/1.01     P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #108: input, references = 8, size of lhs = 3:
% 0.81/1.01     P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #109: input, references = 3, size of lhs = 3:
% 0.81/1.01     P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #110: input, references = 8, size of lhs = 4:
% 0.81/1.01     P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #111: input, references = 4, size of lhs = 0:
% 0.81/1.01     FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #112: input, references = 4, size of lhs = 1:
% 0.81/1.01     #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  number of initial rules = 113
% 0.81/1.01  
% 0.81/1.01  Simplifiers:
% 0.81/1.01  #113: unsound, references = 3, size of lhs = 3:
% 0.81/1.01     P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #114: unsound, references = 3, size of lhs = 3:
% 0.81/1.01     P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #115: unsound, references = 3, size of lhs = 3:
% 0.81/1.01     pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #116: unsound, references = 3, size of lhs = 3:
% 0.81/1.01     pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #117: unsound, references = 3, size of lhs = 3:
% 0.81/1.01     pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #118: unsound, references = 3, size of lhs = 3:
% 0.81/1.01     pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #119: unsound, references = 3, size of lhs = 3:
% 0.81/1.01     pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #120: unsound, references = 3, size of lhs = 3:
% 0.81/1.01     pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #121: unsound, references = 3, size of lhs = 3:
% 0.81/1.01     pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #122: unsound, references = 3, size of lhs = 3:
% 0.81/1.01     pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #123: unsound, references = 3, size of lhs = 3:
% 0.81/1.01     pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #124: unsound, references = 3, size of lhs = 3:
% 0.81/1.01     pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #125: unsound, references = 3, size of lhs = 3:
% 0.81/1.01     pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #126: unsound, references = 3, size of lhs = 3:
% 0.81/1.01     pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #127: unsound, references = 3, size of lhs = 3:
% 0.81/1.01     pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #128: unsound, references = 3, size of lhs = 3:
% 0.81/1.01     pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #129: unsound, references = 3, size of lhs = 3:
% 0.81/1.01     pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #130: unsound, references = 3, size of lhs = 3:
% 0.81/1.01     pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #131: unsound, references = 3, size of lhs = 3:
% 0.81/1.01     pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #132: unsound, references = 3, size of lhs = 3:
% 0.81/1.01     pppp19-{F}(V0), pppp19-{F}(V1), V0 == V1 | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #133: unsound, references = 3, size of lhs = 3:
% 0.81/1.01     pppp20-{F}(V0), pppp20-{F}(V1), V0 == V1 | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #134: unsound, references = 3, size of lhs = 3:
% 0.81/1.01     pppp21-{F}(V0), pppp21-{F}(V1), V0 == V1 | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  number of simplifiers = 22
% 0.81/1.01  
% 0.81/1.01  Learnt:
% 0.81/1.01  #140: mergings( V0 == V2; #137 ), references = 1, size of lhs = 1:
% 0.81/1.01     P_empty_set-{F}(V0) | pppp12-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #142: mergings( V0 == V2; #138 ), references = 1, size of lhs = 2:
% 0.81/1.01     P_empty_set-{F}(V0), empty-{F}(V1) | pppp12-{T}(V1)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #148: mergings( V0 == V2; #145 ), references = 1, size of lhs = 1:
% 0.81/1.01     P_empty_set-{F}(V0) | pppp10-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #150: mergings( V0 == V2; #146 ), references = 1, size of lhs = 2:
% 0.81/1.01     P_empty_set-{F}(V0), empty-{F}(V1) | pppp10-{T}(V1)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #153: mergings( V0 == V3; #151 ), references = 3, size of lhs = 5:
% 0.81/1.01     P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V3) | empty-{T}(V3)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #160: mergings( V0 == V3; #157 ), references = 2, size of lhs = 5:
% 0.81/1.01     ordinal-{F}(V0), empty-{F}(V0), ordinal-{F}(V1), V0 == V1, P_empty_set-{F}(V2) | in-{T}(V0,V1)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #162: mergings( V0 == V3; #158 ), references = 1, size of lhs = 7:
% 0.81/1.01     ordinal-{F}(V0), ordinal-{F}(V1), V0 == V1, P_empty_set-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V0,V4) | in-{T}(V0,V1)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #187: mergings( V0 == V3; #183 ), references = 4, size of lhs = 3:
% 0.81/1.01     P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #190: mergings( V0 == V3, V2 == V3; #184 ), references = 1, size of lhs = 4:
% 0.81/1.01     P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #193: mergings( V0 == V3, V2 == V3; #185 ), references = 1, size of lhs = 5:
% 0.81/1.01     P_empty_set-{F}(V0), element-{F}(V1,V0), P_powerset-{F}(V0,V2), element-{F}(V3,V2), in-{F}(V4,V3) | in-{T}(V1,V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #197: disj( #20, #18+#6+#101 ), references = 2, size of lhs = 2:
% 0.81/1.01     epsilon_transitive-{F}(V0), pppp21-{F}(V0) | pppp23-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #209: mergings( V2 == V5; #205 ), references = 4, size of lhs = 5:
% 0.81/1.01     empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V3,V1), V3 == V2 | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #212: mergings( V2 == V5, V0 == V5; #207 ), references = 1, size of lhs = 6:
% 0.81/1.01     empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V2,V1), empty-{F}(V3), V2 == V3 | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #227: mergings( V3 == V5; #225 ), references = 1, size of lhs = 4:
% 0.81/1.01     empty-{F}(V0), P_powerset-{F}(V0,V1), pppp5-{F}(V1,V2), P_empty_set-{F}(V3) | pppp4-{T}(V1,V3,V2)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #235: mergings( V0 == V2; #232 ), references = 1, size of lhs = 1:
% 0.81/1.01     P_empty_set-{F}(V0) | pppp11-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #237: mergings( V0 == V2; #233 ), references = 1, size of lhs = 2:
% 0.81/1.01     P_empty_set-{F}(V0), empty-{F}(V1) | pppp11-{T}(V1)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #253: mergings( V0 == V2; #250 ), references = 1, size of lhs = 1:
% 0.81/1.01     P_empty_set-{F}(V0) | pppp14-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #255: mergings( V0 == V2; #251 ), references = 1, size of lhs = 2:
% 0.81/1.01     P_empty_set-{F}(V0), empty-{F}(V1) | pppp14-{T}(V1)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #261: exists( #33, #259 ), references = 1, size of lhs = 3:
% 0.81/1.01     empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2) | pppp6-{T}(V1,V2)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #274: mergings( V3 == V4, V4 == V7; #271 ), references = 2, size of lhs = 8:
% 0.81/1.01     pppp21-{F}(V0), P_powerset-{F}(V0,V1), ordinal-{F}(V2), empty-{F}(V2), pppp5-{F}(V3,V2), element-{F}(V3,V1), P_empty_set-{F}(V4), V0 == V4 | pppp4-{T}(V3,V2,V2)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #283: exists( #14, #281 ), references = 1, size of lhs = 2:
% 0.81/1.01     pppp22-{F}(V0), pppp21-{F}(V0) | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #285: disj( #13, exists( #14, #281 ) ), references = 2, size of lhs = 1:
% 0.81/1.01     pppp21-{F}(V0) | pppp0-{T}(V0)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #293: mergings( V2 == V5; #291 ), references = 1, size of lhs = 7:
% 0.81/1.01     pppp21-{F}(V0), ordinal-{F}(V1), empty-{F}(V1), pppp5-{F}(V2,V1), subset-{F}(V2,V0), P_empty_set-{F}(V3), V0 == V3 | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #331: mergings( V2 == V3, V3 == V7; #328 ), references = 1, size of lhs = 6:
% 0.81/1.01     empty-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_empty_set-{F}(V3), element-{F}(V4,V2), V4 == V3 | pppp6-{T}(V4,V3)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #342: mergings( V3 == V4, V4 == V5, V5 == V1, V1 == V8; #337 ), references = 1, size of lhs = 5:
% 0.81/1.01     empty-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp5-{F}(V2,V3), P_empty_set-{F}(V3) | pppp4-{T}(V2,V3,V3)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #363: disj( #19, input ), references = 1, size of lhs = 5:
% 0.81/1.01     pppp1-{F}(V0), in-{F}(V1,V0), in-{F}(V2,V0), V1 == V2, pppp4-{F}(V3,V1,V2) | in-{T}(V2,V1)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #364: disj( #19, input ), references = 1, size of lhs = 6:
% 0.81/1.01     pppp1-{F}(V0), in-{F}(V1,V0), P_empty_set-{F}(V2), empty-{F}(V3), V1 == V3, in-{F}(V3,V0) | in-{T}(V3,V1)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #370: exists( #22, #368 ), references = 2, size of lhs = 3:
% 0.81/1.01     pppp1-{F}(V0), pppp5-{F}(V0,V1), in-{F}(V1,V0) | pppp4-{T}(V0,V1,V1)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #376: exists( #21, #374 ), references = 1, size of lhs = 2:
% 0.81/1.01     pppp23-{F}(V0), pppp1-{F}(V0) | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #384: disj( #98, input ), references = 1, size of lhs = 5:
% 0.81/1.01     P_empty_set-{F}(V0), ordinal-{F}(V1), ordinal-{F}(V2), V1 == V2, pppp4-{F}(V3,V2,V1) | in-{T}(V1,V2)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #389: exists( #22, #387 ), references = 2, size of lhs = 4:
% 0.81/1.01     pppp21-{F}(V0), pppp5-{F}(V0,V1), ordinal-{F}(V1), P_empty_set-{F}(V2) | pppp4-{T}(V0,V1,V1)
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #395: exists( #21, #393 ), references = 2, size of lhs = 3:
% 0.81/1.01     pppp23-{F}(V0), pppp21-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #401: mergings( V0 == V2; #399 ), references = 1, size of lhs = 1:
% 0.81/1.01     P_empty_set-{F}(V0) | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  #403: exists( #111, #399 ), references = 1, size of lhs = 0:
% 0.81/1.01     FALSE | FALSE
% 0.81/1.01        (used 0 times, uses = {})
% 0.81/1.01  
% 0.81/1.01  number of learnt formulas = 34
% 0.81/1.01  
% 0.81/1.01  
% 0.81/1.01  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.81/1.01  
% 0.81/1.01  randbase = 1
%------------------------------------------------------------------------------