TSTP Solution File: SEU291+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SEU291+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n013.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 06:17:43 EDT 2022

% Result   : Theorem 101.57s 101.77s
% Output   : Refutation 101.57s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU291+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Jul 22 18:53:15 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 101.57/101.77  GeoParameters:
% 101.57/101.77  
% 101.57/101.77  tptp_input =     1
% 101.57/101.77  tptp_output =    0
% 101.57/101.77  nonempty =       1
% 101.57/101.77  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 101.57/101.77  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 101.57/101.77  
% 101.57/101.77  
% 101.57/101.77  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 101.57/101.77  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 101.57/101.77  
% 101.57/101.77  RuleSystem INPUT:
% 101.57/101.77  
% 101.57/101.77  Initial Rules:
% 101.57/101.77  #0: input, references = 4, size of lhs = 2:
% 101.57/101.77     in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 101.57/101.77        (used 0 times, uses = {})
% 101.57/101.77  
% 101.57/101.77  #1: input, references = 4, size of lhs = 1:
% 101.57/101.77     empty-{F}(V0) | function-{T}(V0)
% 101.57/101.77        (used 0 times, uses = {})
% 101.57/101.77  
% 101.57/101.77  #2: input, references = 3, size of lhs = 1:
% 101.57/101.77     empty-{F}(V0) | relation-{T}(V0)
% 101.57/101.77        (used 0 times, uses = {})
% 101.57/101.77  
% 101.57/101.77  #3: input, references = 9, size of lhs = 3:
% 101.57/101.77     P_cartesian_product2-{F}(V2,V1,V3), P_powerset-{F}(V3,V4), element-{F}(V0,V4) | relation-{T}(V0)
% 101.57/101.77        (used 0 times, uses = {})
% 101.57/101.77  
% 101.57/101.77  #4: input, references = 3, size of lhs = 3:
% 101.57/101.77     relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 101.57/101.77        (used 0 times, uses = {})
% 101.57/101.77  
% 101.57/101.77  #5: input, references = 10, size of lhs = 3:
% 101.57/101.77     P_empty_set-{F}(V0), P_relation_dom_as_subset-{F}(V1,V2,V3,V4), relation_of2_as_subset-{F}(V3,V1,V2) | pppp0-{T}(V1,V2,V3,V0,V4)
% 101.57/101.77        (used 0 times, uses = {})
% 101.57/101.77  
% 101.57/101.77  #6: input, references = 3, size of lhs = 2:
% 101.57/101.77     pppp0-{F}(V0,V3,V3,V3,V4), V0 == V3 | quasi_total-{T}(V3,V0,V3)
% 101.57/101.77        (used 0 times, uses = {})
% 101.57/101.77  
% 101.57/101.77  #7: input, references = 3, size of lhs = 4:
% 101.57/101.77     pppp0-{F}(V0,V3,V2,V3,V4), quasi_total-{F}(V2,V0,V3), V0 == V3, V2 == V3 | FALSE
% 101.57/101.77        (used 0 times, uses = {})
% 101.57/101.77  
% 101.57/101.77  #8: input, references = 3, size of lhs = 1:
% 101.57/101.77     pppp0-{F}(V4,V1,V2,V4,V4) | quasi_total-{T}(V2,V4,V1)
% 101.57/101.77        (used 0 times, uses = {})
% 101.57/101.77  
% 101.57/101.77  #9: input, references = 7, size of lhs = 3:
% 101.57/101.77     pppp0-{F}(V3,V1,V2,V3,V4), quasi_total-{F}(V2,V3,V1), V3 == V4 | FALSE
% 101.57/101.77        (used 0 times, uses = {})
% 101.57/101.77  
% 101.57/101.77  #10: input, references = 4, size of lhs = 2:
% 101.57/101.77     pppp0-{F}(V4,V1,V2,V3,V4), V1 == V3 | quasi_total-{T}(V2,V4,V1)
% 101.57/101.77        (used 0 times, uses = {})
% 101.57/101.77  
% 101.57/101.77  #11: input, references = 5, size of lhs = 4:
% 101.57/101.77     pppp0-{F}(V0,V1,V2,V3,V4), quasi_total-{F}(V2,V0,V1), V1 == V3, V0 == V4 | FALSE
% 101.57/101.77        (used 0 times, uses = {})
% 101.57/101.77  
% 101.57/101.77  #12: input, references = 6, size of lhs = 4:
% 101.57/101.77     P_empty_set-{F}(V0), P_relation_dom_as_subset-{F}(V1,V2,V3,V4), P_powerset-{F}(V1,V5), relation_of2-{F}(V3,V1,V2) | element-{T}(V4,V5)
% 101.57/101.77        (used 0 times, uses = {})
% 101.57/101.77  
% 101.57/101.77  #13: input, references = 20, size of lhs = 4:
% 101.57/101.77     P_empty_set-{F}(V0), P_cartesian_product2-{F}(V1,V2,V4), P_powerset-{F}(V4,V5), relation_of2_as_subset-{F}(V3,V1,V2) | element-{T}(V3,V5)
% 101.57/101.77        (used 0 times, uses = {})
% 101.57/101.77  
% 101.57/101.77  #14: input, references = 6, size of lhs = 3:
% 101.57/101.77     P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | EXISTS V3: pppp1-{T}(V1,V2,V3)
% 101.57/101.77        (used 0 times, uses = {})
% 101.57/101.77  
% 101.57/101.77  #15: input, references = 6, size of lhs = 1:
% 101.57/101.77     pppp1-{F}(V0,V1,V2) | relation_of2-{T}(V2,V0,V1)
% 101.57/101.77        (used 0 times, uses = {})
% 101.57/101.77  
% 101.57/101.77  #16: input, references = 5, size of lhs = 2:
% 101.57/101.77     P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp2-{T}(V1,V2)
% 101.57/101.77        (used 0 times, uses = {})
% 101.57/101.77  
% 101.57/101.77  #17: input, references = 6, size of lhs = 1:
% 101.57/101.77     pppp2-{F}(V0,V1) | element-{T}(V1,V0)
% 101.57/101.77        (used 0 times, uses = {})
% 101.57/101.77  
% 101.57/101.77  #18: input, references = 6, size of lhs = 3:
% 101.57/101.77     P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | EXISTS V3: pppp3-{T}(V1,V2,V3)
% 101.57/101.77        (used 0 times, uses = {})
% 101.57/101.77  
% 101.57/101.77  #19: input, references = 7, size of lhs = 1:
% 101.57/101.77     pppp3-{F}(V0,V1,V2) | relation_of2_as_subset-{T}(V2,V0,V1)
% 101.57/101.77        (used 0 times, uses = {})
% 101.57/101.77  
% 101.57/101.77  #20: input, references = 4, size of lhs = 1:
% 101.57/101.77     P_empty_set-{F}(V0) | empty-{T}(V0)
% 101.57/101.77        (used 0 times, uses = {})
% 101.57/101.77  
% 101.57/101.77  #21: input, references = 3, size of lhs = 1:
% 101.57/101.77     P_empty_set-{F}(V0) | relation-{T}(V0)
% 101.57/101.77        (used 0 times, uses = {})
% 101.57/101.77  
% 101.57/101.77  #22: input, references = 3, size of lhs = 1:
% 101.57/101.77     P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 101.57/101.77        (used 0 times, uses = {})
% 101.57/101.77  
% 101.57/101.77  #23: input, references = 3, size of lhs = 3:
% 101.57/101.77     P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 101.57/101.77        (used 0 times, uses = {})
% 101.57/101.77  
% 101.57/101.77  #24: input, references = 3, size of lhs = 1:
% 101.57/101.77     P_empty_set-{F}(V0) | empty-{T}(V0)
% 101.57/101.77        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #25: input, references = 3, size of lhs = 1:
% 101.57/101.78     P_empty_set-{F}(V0) | empty-{T}(V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #26: input, references = 3, size of lhs = 1:
% 101.57/101.78     P_empty_set-{F}(V0) | relation-{T}(V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #27: input, references = 3, size of lhs = 3:
% 101.57/101.78     P_empty_set-{F}(V0), P_cartesian_product2-{F}(V2,V1,V3), empty-{F}(V3) | empty-{T}(V1), empty-{T}(V2)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #28: input, references = 9, size of lhs = 4:
% 101.57/101.78     P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #29: input, references = 5, size of lhs = 3:
% 101.57/101.78     P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #30: input, references = 3, size of lhs = 3:
% 101.57/101.78     P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #31: input, references = 3, size of lhs = 1:
% 101.57/101.78     P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #32: input, references = 3, size of lhs = 1:
% 101.57/101.78     pppp4-{F}(V0) | function-{T}(V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #33: input, references = 3, size of lhs = 1:
% 101.57/101.78     pppp4-{F}(V0) | relation-{T}(V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #34: input, references = 6, size of lhs = 3:
% 101.57/101.78     P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | EXISTS V3: pppp5-{T}(V1,V2,V3)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #35: input, references = 5, size of lhs = 1:
% 101.57/101.78     pppp5-{F}(V0,V1,V2) | quasi_total-{T}(V2,V0,V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #36: input, references = 3, size of lhs = 1:
% 101.57/101.78     pppp5-{F}(V0,V1,V2) | function-{T}(V2)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #37: input, references = 3, size of lhs = 1:
% 101.57/101.78     pppp5-{F}(V0,V1,V2) | relation-{T}(V2)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #38: input, references = 6, size of lhs = 1:
% 101.57/101.78     pppp5-{F}(V0,V1,V2) | relation_of2-{T}(V2,V0,V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #39: input, references = 4, size of lhs = 1:
% 101.57/101.78     P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #40: input, references = 5, size of lhs = 1:
% 101.57/101.78     pppp6-{F}(V0) | empty-{T}(V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #41: input, references = 3, size of lhs = 1:
% 101.57/101.78     pppp6-{F}(V0) | one_to_one-{T}(V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #42: input, references = 3, size of lhs = 1:
% 101.57/101.78     pppp6-{F}(V0) | function-{T}(V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #43: input, references = 3, size of lhs = 1:
% 101.57/101.78     pppp6-{F}(V0) | relation-{T}(V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #44: input, references = 4, size of lhs = 1:
% 101.57/101.78     P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #45: input, references = 3, size of lhs = 1:
% 101.57/101.78     pppp7-{F}(V0) | relation-{T}(V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #46: input, references = 5, size of lhs = 1:
% 101.57/101.78     pppp7-{F}(V0) | empty-{T}(V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #47: input, references = 4, size of lhs = 2:
% 101.57/101.78     P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp22-{T}(V2)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #48: input, references = 3, size of lhs = 1:
% 101.57/101.78     pppp22-{F}(V0) | EXISTS V1: pppp8-{T}(V1,V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #49: input, references = 3, size of lhs = 2:
% 101.57/101.78     pppp8-{F}(V0,V1), empty-{F}(V0) | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #50: input, references = 3, size of lhs = 1:
% 101.57/101.78     pppp8-{F}(V0,V1) | element-{T}(V0,V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #51: input, references = 4, size of lhs = 1:
% 101.57/101.78     P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #52: input, references = 5, size of lhs = 1:
% 101.57/101.78     pppp9-{F}(V0) | empty-{T}(V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #53: input, references = 4, size of lhs = 1:
% 101.57/101.78     P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #54: input, references = 3, size of lhs = 1:
% 101.57/101.78     pppp10-{F}(V0) | function-{T}(V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #55: input, references = 5, size of lhs = 1:
% 101.57/101.78     pppp10-{F}(V0) | empty-{T}(V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #56: input, references = 3, size of lhs = 1:
% 101.57/101.78     pppp10-{F}(V0) | relation-{T}(V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #57: input, references = 6, size of lhs = 3:
% 101.57/101.78     P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | EXISTS V3: pppp11-{T}(V1,V2,V3)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #58: input, references = 3, size of lhs = 1:
% 101.57/101.78     pppp11-{F}(V0,V1,V2) | function-{T}(V2)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #59: input, references = 3, size of lhs = 1:
% 101.57/101.78     pppp11-{F}(V0,V1,V2) | relation-{T}(V2)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #60: input, references = 6, size of lhs = 1:
% 101.57/101.78     pppp11-{F}(V0,V1,V2) | relation_of2-{T}(V2,V0,V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #61: input, references = 3, size of lhs = 1:
% 101.57/101.78     P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #62: input, references = 3, size of lhs = 1:
% 101.57/101.78     pppp12-{F}(V0) | relation-{T}(V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #63: input, references = 3, size of lhs = 2:
% 101.57/101.78     pppp12-{F}(V0), empty-{F}(V0) | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #64: input, references = 4, size of lhs = 2:
% 101.57/101.78     P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp13-{T}(V3,V2)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #65: input, references = 5, size of lhs = 1:
% 101.57/101.78     pppp13-{F}(V0,V1) | empty-{T}(V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #66: input, references = 3, size of lhs = 1:
% 101.57/101.78     pppp13-{F}(V0,V1) | element-{T}(V0,V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #67: input, references = 3, size of lhs = 1:
% 101.57/101.78     P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #68: input, references = 5, size of lhs = 2:
% 101.57/101.78     pppp14-{F}(V0), empty-{F}(V0) | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #69: input, references = 3, size of lhs = 1:
% 101.57/101.78     P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #70: input, references = 3, size of lhs = 1:
% 101.57/101.78     pppp15-{F}(V0) | one_to_one-{T}(V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #71: input, references = 3, size of lhs = 1:
% 101.57/101.78     pppp15-{F}(V0) | function-{T}(V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #72: input, references = 3, size of lhs = 1:
% 101.57/101.78     pppp15-{F}(V0) | relation-{T}(V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #73: input, references = 3, size of lhs = 1:
% 101.57/101.78     P_empty_set-{F}(V0) | EXISTS V1: pppp16-{T}(V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #74: input, references = 3, size of lhs = 1:
% 101.57/101.78     pppp16-{F}(V0) | relation_empty_yielding-{T}(V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #75: input, references = 3, size of lhs = 1:
% 101.57/101.78     pppp16-{F}(V0) | relation-{T}(V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #76: input, references = 3, size of lhs = 1:
% 101.57/101.78     P_empty_set-{F}(V0) | EXISTS V1: pppp17-{T}(V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #77: input, references = 3, size of lhs = 1:
% 101.57/101.78     pppp17-{F}(V0) | function-{T}(V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #78: input, references = 3, size of lhs = 1:
% 101.57/101.78     pppp17-{F}(V0) | relation_empty_yielding-{T}(V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #79: input, references = 3, size of lhs = 1:
% 101.57/101.78     pppp17-{F}(V0) | relation-{T}(V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #80: input, references = 7, size of lhs = 5:
% 101.57/101.78     P_empty_set-{F}(V0), P_relation_dom_as_subset-{F}(V1,V2,V3,V4), P_relation_dom-{F}(V3,V5), relation_of2-{F}(V3,V1,V2), V4 == V5 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #81: input, references = 9, size of lhs = 2:
% 101.57/101.78     P_empty_set-{F}(V0), relation_of2_as_subset-{F}(V3,V1,V2) | relation_of2-{T}(V3,V1,V2)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #82: input, references = 11, size of lhs = 2:
% 101.57/101.78     P_empty_set-{F}(V0), relation_of2-{F}(V3,V1,V2) | relation_of2_as_subset-{T}(V3,V1,V2)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #83: input, references = 4, size of lhs = 2:
% 101.57/101.78     P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #84: input, references = 12, size of lhs = 3:
% 101.57/101.78     P_empty_set-{F}(V0), relation_of2_as_subset-{F}(V3,V2,V4), subset-{F}(V4,V1) | relation_of2_as_subset-{T}(V3,V2,V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #85: input, references = 3, size of lhs = 2:
% 101.57/101.78     P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #86: input, references = 4, size of lhs = 2:
% 101.57/101.78     P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #87: input, references = 15, size of lhs = 3:
% 101.57/101.78     P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #88: input, references = 3, size of lhs = 3:
% 101.57/101.78     P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #89: input, references = 13, size of lhs = 3:
% 101.57/101.78     P_empty_set-{F}(V0), subset-{F}(V1,V0), V1 == V0 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #90: input, references = 12, size of lhs = 4:
% 101.57/101.78     P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #91: input, references = 5, size of lhs = 5:
% 101.57/101.78     P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #92: input, references = 11, size of lhs = 3:
% 101.57/101.78     P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #93: input, references = 3, size of lhs = 3:
% 101.57/101.78     P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #94: input, references = 11, size of lhs = 4:
% 101.57/101.78     P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #95: input, references = 4, size of lhs = 1:
% 101.57/101.78     P_empty_set-{F}(V0) | EXISTS V1: pppp21-{T}(V1,V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #96: input, references = 5, size of lhs = 1:
% 101.57/101.78     pppp21-{F}(V0,V1) | EXISTS V2: pppp20-{T}(V0,V1,V2)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #97: input, references = 4, size of lhs = 1:
% 101.57/101.78     pppp21-{F}(V0,V1) | function-{T}(V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #98: input, references = 5, size of lhs = 1:
% 101.57/101.78     pppp20-{F}(V0,V1,V2) | EXISTS V3: pppp19-{T}(V3,V2,V0,V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #99: input, references = 4, size of lhs = 1:
% 101.57/101.78     pppp19-{F}(V0,V1,V2,V3) | EXISTS V4: pppp18-{T}(V0,V1,V4,V2)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #100: input, references = 4, size of lhs = 2:
% 101.57/101.78     pppp19-{F}(V0,V3,V2,V3), V0 == V3 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #101: input, references = 11, size of lhs = 1:
% 101.57/101.78     pppp19-{F}(V0,V1,V2,V3) | relation_of2_as_subset-{T}(V2,V0,V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #102: input, references = 10, size of lhs = 1:
% 101.57/101.78     pppp19-{F}(V0,V1,V2,V3) | quasi_total-{T}(V2,V0,V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #103: input, references = 5, size of lhs = 4:
% 101.57/101.78     pppp18-{F}(V0,V1,V2,V3), function-{F}(V3), quasi_total-{F}(V3,V0,V2), relation_of2_as_subset-{F}(V3,V0,V2) | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #104: input, references = 5, size of lhs = 1:
% 101.57/101.78     pppp18-{F}(V0,V1,V2,V3) | subset-{T}(V1,V2)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #105: input, references = 9, size of lhs = 1:
% 101.57/101.78     #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #106: input, references = 5, size of lhs = 2:
% 101.57/101.78     #-{F} V0, #-{F} V1 | EXISTS V2: P_cartesian_product2-{T}(V0,V1,V2)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #107: input, references = 4, size of lhs = 0:
% 101.57/101.78     FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #108: input, references = 5, size of lhs = 3:
% 101.57/101.78     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_relation_dom_as_subset-{T}(V0,V1,V2,V3)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #109: input, references = 11, size of lhs = 1:
% 101.57/101.78     #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  number of initial rules = 110
% 101.57/101.78  
% 101.57/101.78  Simplifiers:
% 101.57/101.78  #110: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #111: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     P_cartesian_product2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #112: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #113: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     P_relation_dom_as_subset-{F}(V0,V1,V2,V3), P_relation_dom_as_subset-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #114: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #115: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V5,V6,V7,V8,V9), V3 == V8 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #116: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V0,V1,V2,V8,V9), V4 == V9 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #117: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #118: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #119: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #120: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #121: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #122: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #123: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #124: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #125: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #126: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #127: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #128: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #129: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     pppp13-{F}(V0,V1), pppp13-{F}(V2,V1), V0 == V2 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #130: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #131: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #132: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #133: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #134: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     pppp18-{F}(V0,V1,V2,V3), pppp18-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #135: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #136: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V4,V5,V2,V3), V1 == V5 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #137: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V4,V5,V6,V3), V2 == V6 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #138: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #139: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     pppp20-{F}(V0,V1,V2), pppp20-{F}(V0,V1,V5), V2 == V5 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #140: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     pppp20-{F}(V0,V1,V2), pppp20-{F}(V3,V1,V5), V0 == V3 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #141: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     pppp20-{F}(V0,V1,V2), pppp20-{F}(V3,V4,V5), V1 == V4 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #142: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     pppp21-{F}(V0,V1), pppp21-{F}(V2,V1), V0 == V2 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #143: unsound, references = 3, size of lhs = 3:
% 101.57/101.78     pppp21-{F}(V0,V1), pppp21-{F}(V2,V3), V1 == V3 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  number of simplifiers = 34
% 101.57/101.78  
% 101.57/101.78  Learnt:
% 101.57/101.78  #149: mergings( V0 == V2; #146 ), references = 1, size of lhs = 1:
% 101.57/101.78     P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #151: mergings( V0 == V2; #147 ), references = 1, size of lhs = 2:
% 101.57/101.78     P_empty_set-{F}(V0), empty-{F}(V1) | pppp6-{T}(V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #157: mergings( V0 == V2; #154 ), references = 1, size of lhs = 1:
% 101.57/101.78     P_empty_set-{F}(V0) | pppp10-{T}(V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #159: mergings( V0 == V2; #155 ), references = 1, size of lhs = 2:
% 101.57/101.78     P_empty_set-{F}(V0), empty-{F}(V1) | pppp10-{T}(V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #166: mergings( V0 == V2; #163 ), references = 1, size of lhs = 1:
% 101.57/101.78     P_empty_set-{F}(V0) | pppp7-{T}(V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #168: mergings( V0 == V2; #164 ), references = 1, size of lhs = 2:
% 101.57/101.78     P_empty_set-{F}(V0), empty-{F}(V1) | pppp7-{T}(V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #182: mergings( V2 == V3; #179 ), references = 1, size of lhs = 2:
% 101.57/101.78     empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #184: mergings( V2 == V3; #180 ), references = 1, size of lhs = 3:
% 101.57/101.78     empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_dom-{T}(V0,V2)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #196: mergings( V0 == V4, V4 == V5, V5 == V6; #192 ), references = 2, size of lhs = 4:
% 101.57/101.78     P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), P_cartesian_product2-{F}(V3,V4,V2) | pppp3-{T}(V3,V4,V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #208: mergings( V0 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #202 ), references = 2, size of lhs = 5:
% 101.57/101.78     P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), subset-{F}(V3,V4), P_cartesian_product2-{F}(V5,V4,V2) | pppp1-{T}(V5,V3,V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #210: exists( #108, #80 ), references = 11, size of lhs = 3:
% 101.57/101.78     P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation_of2-{F}(V1,V3,V4) | P_relation_dom_as_subset-{T}(V3,V4,V1,V2)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #233: mergings( V0 == V3; #229 ), references = 1, size of lhs = 3:
% 101.57/101.78     P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3) | pppp22-{T}(V3)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #235: mergings( V0 == V3; #230 ), references = 1, size of lhs = 3:
% 101.57/101.78     P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp22-{T}(V2)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #238: mergings( V0 == V3, V1 == V3; #231 ), references = 1, size of lhs = 4:
% 101.57/101.78     P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp22-{T}(V2)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #273: mergings( V0 == V4, V4 == V5, V5 == V6, V6 == V7; #268 ), references = 1, size of lhs = 4:
% 101.57/101.78     P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), P_cartesian_product2-{F}(V3,V4,V2) | pppp5-{T}(V3,V4,V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #289: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V0; #282 ), references = 1, size of lhs = 7:
% 101.57/101.78     P_empty_set-{F}(V0), P_relation_dom-{F}(V0,V1), P_cartesian_product2-{F}(V2,V3,V0), V3 == V0, V2 == V1, subset-{F}(V3,V4), P_cartesian_product2-{F}(V2,V4,V0) | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #295: mergings( V0 == V2; #292 ), references = 1, size of lhs = 1:
% 101.57/101.78     P_empty_set-{F}(V0) | pppp9-{T}(V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #297: mergings( V0 == V2; #293 ), references = 1, size of lhs = 2:
% 101.57/101.78     P_empty_set-{F}(V0), empty-{F}(V1) | pppp9-{T}(V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #339: mergings( V0 == V3; #335 ), references = 1, size of lhs = 3:
% 101.57/101.78     P_empty_set-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V3,V2) | in-{T}(V1,V2)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #341: mergings( V0 == V3; #336 ), references = 5, size of lhs = 3:
% 101.57/101.78     P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #344: mergings( V0 == V3, V2 == V3; #337 ), references = 1, size of lhs = 4:
% 101.57/101.78     P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #353: mergings( V0 == V3, V3 == V4; #350 ), references = 1, size of lhs = 2:
% 101.57/101.78     P_empty_set-{F}(V0), P_powerset-{F}(V0,V1) | pppp2-{T}(V1,V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #413: mergings( V0 == V4; #410 ), references = 1, size of lhs = 2:
% 101.57/101.78     P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp13-{T}(V0,V2)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #415: mergings( V0 == V4; #411 ), references = 1, size of lhs = 3:
% 101.57/101.78     P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V2,V3) | pppp13-{T}(V1,V3)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #441: mergings( V2 == V3, V3 == V6; #436 ), references = 3, size of lhs = 7:
% 101.57/101.78     empty-{F}(V0), P_relation_dom-{F}(V1,V0), P_empty_set-{F}(V2), V1 == V2, relation_of2_as_subset-{F}(V1,V3,V4), P_cartesian_product2-{F}(V3,V4,V5), P_cartesian_product2-{F}(V6,V7,V5) | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #445: mergings( V2 == V3, V3 == V6, V5 == V6; #437 ), references = 1, size of lhs = 8:
% 101.57/101.78     empty-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V1,V0), empty-{F}(V2), V1 == V2, relation_of2_as_subset-{F}(V1,V3,V4), P_cartesian_product2-{F}(V3,V4,V5), P_cartesian_product2-{F}(V6,V7,V5) | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #448: mergings( V2 == V3, V4 == V3; #438 ), references = 1, size of lhs = 7:
% 101.57/101.78     P_empty_set-{F}(V0), pppp14-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), relation_of2_as_subset-{F}(V0,V2,V3), P_cartesian_product2-{F}(V2,V3,V4), P_cartesian_product2-{F}(V5,V6,V4) | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #477: mergings( V0 == V4, V4 == V5, V5 == V6, V6 == V7; #472 ), references = 1, size of lhs = 4:
% 101.57/101.78     P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), P_cartesian_product2-{F}(V3,V4,V2) | pppp11-{T}(V3,V4,V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #537: mergings( V2 == V3, V3 == V4; #534 ), references = 1, size of lhs = 6:
% 101.57/101.78     P_empty_set-{F}(V0), in-{F}(V1,V2), V1 == V0, in-{F}(V2,V3), relation_of2_as_subset-{F}(V3,V4,V5), P_cartesian_product2-{F}(V4,V5,V1) | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #585: mergings( V2 == V3; #583 ), references = 3, size of lhs = 5:
% 101.57/101.78     P_empty_set-{F}(V0), relation_of2-{F}(V1,V2,V3), V3 == V0, relation_of2_as_subset-{F}(V1,V2,V3), quasi_total-{F}(V1,V2,V3) | P_relation_dom-{T}(V1,V2)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #596: mergings( V0 == V4, V4 == V5, V5 == V6, V6 == V7; #591 ), references = 1, size of lhs = 5:
% 101.57/101.78     P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), subset-{F}(V3,V4), P_cartesian_product2-{F}(V5,V4,V2) | pppp3-{T}(V5,V3,V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #729: mergings( V0 == V4, V4 == V5, V5 == V6; #725 ), references = 1, size of lhs = 5:
% 101.57/101.78     empty-{F}(V0), P_empty_set-{F}(V1), P_cartesian_product2-{F}(V0,V2,V3), V2 == V1, P_cartesian_product2-{F}(V4,V5,V3) | pppp5-{T}(V0,V2,V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #890: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #884 ), references = 2, size of lhs = 10:
% 101.57/101.78     P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), V4 == V0, in-{F}(V5,V6), in-{F}(V6,V7), relation_of2_as_subset-{F}(V7,V8,V9), P_cartesian_product2-{F}(V8,V9,V4) | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #896: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #885 ), references = 3, size of lhs = 8:
% 101.57/101.78     P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation_of2_as_subset-{F}(V1,V3,V4), relation_of2_as_subset-{F}(V4,V5,V6), P_cartesian_product2-{F}(V5,V6,V7), subset-{F}(V7,V8), P_relation_dom_as_subset-{F}(V3,V8,V1,V9), V9 == V2 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #1030: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V6; #1025 ), references = 2, size of lhs = 5:
% 101.57/101.78     P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), V3 == V0 | pppp2-{T}(V3,V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #1529: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #1523 ), references = 1, size of lhs = 14:
% 101.57/101.78     P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), V4 == V0, P_powerset-{F}(V5,V6), P_cartesian_product2-{F}(V7,V5,V4), in-{F}(V8,V9), in-{F}(V9,V10), relation_of2_as_subset-{F}(V10,V7,V11), in-{F}(V11,V12), relation_of2_as_subset-{F}(V12,V13,V14), P_cartesian_product2-{F}(V13,V14,V6) | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #1534: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #1524 ), references = 2, size of lhs = 12:
% 101.57/101.78     P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_relation_dom-{F}(V3,V4), relation_of2_as_subset-{F}(V3,V5,V6), in-{F}(V6,V7), relation_of2_as_subset-{F}(V7,V8,V9), P_cartesian_product2-{F}(V8,V9,V2), relation_of2_as_subset-{F}(V1,V10,V11), P_cartesian_product2-{F}(V10,V11,V12), subset-{F}(V12,V13), P_relation_dom_as_subset-{F}(V5,V13,V3,V14), V14 == V4 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #1541: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1535 ), references = 2, size of lhs = 12:
% 101.57/101.78     P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_relation_dom-{F}(V3,V4), relation_of2_as_subset-{F}(V3,V5,V6), in-{F}(V6,V7), relation_of2_as_subset-{F}(V7,V8,V9), P_cartesian_product2-{F}(V8,V9,V2), relation_of2_as_subset-{F}(V1,V10,V11), P_cartesian_product2-{F}(V10,V11,V12), subset-{F}(V12,V13), P_relation_dom_as_subset-{F}(V5,V13,V3,V14), V14 == V4 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #1694: mergings( V0 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #1688 ), references = 1, size of lhs = 5:
% 101.57/101.78     P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), subset-{F}(V3,V4), P_cartesian_product2-{F}(V5,V4,V2) | pppp11-{T}(V5,V3,V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #2048: mergings( V2 == V3, V3 == V4, V4 == V8; #2042 ), references = 1, size of lhs = 9:
% 101.57/101.78     empty-{F}(V0), P_relation_dom-{F}(V1,V0), in-{F}(V1,V2), P_empty_set-{F}(V3), V1 == V3, relation_of2_as_subset-{F}(V2,V4,V5), P_cartesian_product2-{F}(V4,V5,V6), P_powerset-{F}(V7,V6), P_cartesian_product2-{F}(V8,V9,V7) | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #2052: mergings( V2 == V3, V3 == V4, V4 == V8; #2043 ), references = 1, size of lhs = 10:
% 101.57/101.78     empty-{F}(V0), P_relation_dom-{F}(V1,V0), in-{F}(V1,V2), P_empty_set-{F}(V3), empty-{F}(V4), V1 == V4, relation_of2_as_subset-{F}(V2,V5,V6), P_cartesian_product2-{F}(V5,V6,V7), P_powerset-{F}(V8,V7), P_cartesian_product2-{F}(V9,V10,V8) | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #2055: mergings( V2 == V3, V3 == V4; #2044 ), references = 1, size of lhs = 9:
% 101.57/101.78     P_empty_set-{F}(V0), pppp14-{F}(V1), in-{F}(V1,V2), P_relation_dom-{F}(V1,V3), empty-{F}(V3), relation_of2_as_subset-{F}(V2,V4,V5), P_cartesian_product2-{F}(V4,V5,V6), P_powerset-{F}(V7,V6), P_cartesian_product2-{F}(V8,V9,V7) | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #2451: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V9, V9 == V10, V10 == V11; #2444 ), references = 1, size of lhs = 9:
% 101.57/101.78     P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), empty-{F}(V4), P_powerset-{F}(V4,V5), P_powerset-{F}(V6,V5), relation_of2-{F}(V7,V3,V8), relation_of2-{F}(V7,V6,V9) | P_relation_dom-{T}(V7,V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #2460: mergings( V0 == V1, V1 == V2, V2 == V3, V3 == V7, V7 == V8, V8 == V9, V9 == V16; #2452 ), references = 1, size of lhs = 14:
% 101.57/101.78     empty-{F}(V0), P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), empty-{F}(V4), P_powerset-{F}(V4,V5), P_powerset-{F}(V6,V5), relation_of2-{F}(V7,V3,V8), V7 == V0, relation_of2-{F}(V7,V6,V9), relation_of2_as_subset-{F}(V7,V10,V11), P_cartesian_product2-{F}(V10,V11,V12), P_cartesian_product2-{F}(V13,V14,V12) | P_relation_dom-{T}(V7,V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #4317: mergings( V4 == V5, V5 == V6, V6 == V7; #4311 ), references = 3, size of lhs = 4:
% 101.57/101.78     P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp20-{F}(V1,V3,V4), V4 == V0 | pppp19-{T}(V2,V4,V1,V3)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #4518: exists( #106, #441 ), references = 6, size of lhs = 5:
% 101.57/101.78     empty-{F}(V0), P_relation_dom-{F}(V1,V0), P_empty_set-{F}(V2), V1 == V2, relation_of2_as_subset-{F}(V1,V3,V4) | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #4524: mergings( V3 == V6, V4 == V5; #4521 ), references = 1, size of lhs = 5:
% 101.57/101.78     empty-{F}(V0), P_relation_dom-{F}(V1,V0), pppp21-{F}(V1,V2), P_empty_set-{F}(V3), V1 == V3 | pppp20-{T}(V1,V2,V3)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #4614: exists( #98, #100 ), references = 7, size of lhs = 1:
% 101.57/101.78     pppp20-{F}(V0,V1,V1) | pppp19-{T}(V1,V1,V0,V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #5124: exists( #108, #896 ), references = 3, size of lhs = 6:
% 101.57/101.78     P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation_of2_as_subset-{F}(V1,V3,V4), relation_of2_as_subset-{F}(V4,V5,V6), P_cartesian_product2-{F}(V5,V6,V7), subset-{F}(V7,V8) | P_relation_dom_as_subset-{T}(V3,V8,V1,V2)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #5125: exists( #108, #1534 ), references = 1, size of lhs = 10:
% 101.57/101.78     P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_relation_dom-{F}(V3,V4), relation_of2_as_subset-{F}(V3,V5,V6), in-{F}(V6,V7), relation_of2_as_subset-{F}(V7,V8,V9), P_cartesian_product2-{F}(V8,V9,V2), relation_of2_as_subset-{F}(V1,V10,V11), P_cartesian_product2-{F}(V10,V11,V12), subset-{F}(V12,V13) | P_relation_dom_as_subset-{T}(V5,V13,V3,V4)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #5126: exists( #108, #1541 ), references = 1, size of lhs = 10:
% 101.57/101.78     P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_relation_dom-{F}(V3,V4), relation_of2_as_subset-{F}(V3,V5,V6), in-{F}(V6,V7), relation_of2_as_subset-{F}(V7,V8,V9), P_cartesian_product2-{F}(V8,V9,V2), relation_of2_as_subset-{F}(V1,V10,V11), P_cartesian_product2-{F}(V10,V11,V12), subset-{F}(V12,V13) | P_relation_dom_as_subset-{T}(V5,V13,V3,V4)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #6407: mergings( V5 == V6, V6 == V7, V7 == V8; #6403 ), references = 2, size of lhs = 5:
% 101.57/101.78     P_empty_set-{F}(V0), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation_of2_as_subset-{F}(V1,V2,V3), pppp19-{F}(V2,V3,V1,V4) | pppp18-{T}(V2,V3,V0,V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #6417: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8; #6412 ), references = 5, size of lhs = 4:
% 101.57/101.78     function-{F}(V0), pppp21-{F}(V0,V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3) | pppp20-{T}(V0,V1,V3)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #6454: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #6447 ), references = 1, size of lhs = 9:
% 101.57/101.78     function-{F}(V0), pppp21-{F}(V0,V1), P_empty_set-{F}(V1), subset-{F}(V2,V1), subset-{F}(V3,V1), relation_of2_as_subset-{F}(V1,V4,V5), P_cartesian_product2-{F}(V4,V5,V2), relation_of2_as_subset-{F}(V1,V6,V7), P_cartesian_product2-{F}(V6,V7,V3) | P_relation_dom-{T}(V0,V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #6562: mergings( V2 == V3, V4 == V3; #6559 ), references = 3, size of lhs = 4:
% 101.57/101.78     P_empty_set-{F}(V0), relation_of2-{F}(V1,V0,V0), relation_of2_as_subset-{F}(V1,V0,V0), quasi_total-{F}(V1,V0,V0) | P_relation_dom-{T}(V1,V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #6595: mergings( V2 == V3; #6593 ), references = 1, size of lhs = 5:
% 101.57/101.78     function-{F}(V0), pppp21-{F}(V0,V1), relation_of2-{F}(V0,V1,V1), relation_of2_as_subset-{F}(V0,V1,V1), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #6664: mergings( V2 == V3, V3 == V4, V4 == V5; #6660 ), references = 4, size of lhs = 4:
% 101.57/101.78     P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), relation_of2-{F}(V3,V2,V4) | P_relation_dom-{T}(V3,V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #6679: mergings( V0 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V11; #6671 ), references = 1, size of lhs = 6:
% 101.57/101.78     empty-{F}(V0), P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), pppp1-{F}(V2,V3,V4), V4 == V0 | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #6695: mergings( V0 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V11; #6686 ), references = 1, size of lhs = 5:
% 101.57/101.78     empty-{F}(V0), P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), #-{F} V3 | pppp1-{T}(V2,V3,V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #6788: mergings( V0 == V4, V4 == V5, V5 == V7; #6783 ), references = 1, size of lhs = 5:
% 101.57/101.78     empty-{F}(V0), P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), #-{F} V3 | pppp11-{T}(V2,V3,V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #6842: mergings( V0 == V4, V4 == V5, V5 == V7; #6837 ), references = 1, size of lhs = 5:
% 101.57/101.78     empty-{F}(V0), P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), #-{F} V3 | pppp3-{T}(V2,V3,V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #6868: mergings( V0 == V4, V4 == V5, V5 == V7; #6863 ), references = 1, size of lhs = 5:
% 101.57/101.78     empty-{F}(V0), P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), #-{F} V3 | pppp5-{T}(V2,V3,V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #6920: mergings( V2 == V3, V3 == V4, V4 == V5; #6915 ), references = 2, size of lhs = 6:
% 101.57/101.78     function-{F}(V0), pppp21-{F}(V0,V1), V0 == V1, empty-{F}(V1), P_empty_set-{F}(V1), subset-{F}(V1,V2) | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #6924: mergings( V2 == V3, V3 == V4, V4 == V5; #6914 ), references = 1, size of lhs = 3:
% 101.57/101.78     function-{F}(V0), pppp21-{F}(V0,V1), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #6927: exists( #95, #6925 ), references = 1, size of lhs = 3:
% 101.57/101.78     empty-{F}(V0), P_empty_set-{F}(V0), subset-{F}(V0,V1) | pppp21-{T}(V0,V0)
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  #6939: exists( #107, #6937 ), references = 1, size of lhs = 0:
% 101.57/101.78     FALSE | FALSE
% 101.57/101.78        (used 0 times, uses = {})
% 101.57/101.78  
% 101.57/101.78  number of learnt formulas = 66
% 101.57/101.78  
% 101.57/101.78  
% 101.57/101.78  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 101.57/101.78  
% 101.57/101.78  randbase = 1
%------------------------------------------------------------------------------