TSTP Solution File: LAT388+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : LAT388+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n014.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 06:08:36 EDT 2022

% Result   : Theorem 0.21s 0.50s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LAT388+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34  % Computer : n014.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri Jul 22 19:53:12 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.21/0.50  GeoParameters:
% 0.21/0.50  
% 0.21/0.50  tptp_input =     1
% 0.21/0.50  tptp_output =    0
% 0.21/0.50  nonempty =       1
% 0.21/0.50  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.50  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.21/0.50  
% 0.21/0.50  
% 0.21/0.50  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.50  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.50  
% 0.21/0.50  RuleSystem INPUT:
% 0.21/0.50  
% 0.21/0.50  Initial Rules:
% 0.21/0.50  #0: input, references = 3, size of lhs = 2:
% 0.21/0.50     aSet0-{F}(V0), aElementOf0-{F}(V1,V0) | aElement0-{T}(V1)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #1: input, references = 3, size of lhs = 2:
% 0.21/0.50     aSet0-{F}(V0), isEmpty0-{F}(V0) | pppp0-{T}(V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #2: input, references = 3, size of lhs = 2:
% 0.21/0.50     aSet0-{F}(V0), pppp0-{F}(V0) | isEmpty0-{T}(V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #3: input, references = 4, size of lhs = 2:
% 0.21/0.50     pppp0-{F}(V0), aElementOf0-{F}(V1,V0) | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #4: input, references = 4, size of lhs = 1:
% 0.21/0.50     #-{F} V0 | pppp0-{T}(V0), pppp21-{T}(V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #5: input, references = 3, size of lhs = 1:
% 0.21/0.50     pppp21-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #6: input, references = 3, size of lhs = 1:
% 0.21/0.50     pppp10-{F}(V0,V1) | aElementOf0-{T}(V1,V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #7: input, references = 3, size of lhs = 2:
% 0.21/0.50     aSet0-{F}(V0), aSubsetOf0-{F}(V1,V0) | pppp1-{T}(V0,V1)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #8: input, references = 3, size of lhs = 2:
% 0.21/0.50     aSet0-{F}(V0), pppp1-{F}(V0,V1) | aSubsetOf0-{T}(V1,V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #9: input, references = 3, size of lhs = 1:
% 0.21/0.50     pppp1-{F}(V0,V1) | aSet0-{T}(V1)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #10: input, references = 3, size of lhs = 2:
% 0.21/0.50     pppp1-{F}(V0,V1), aElementOf0-{F}(V2,V1) | aElementOf0-{T}(V2,V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #11: input, references = 3, size of lhs = 2:
% 0.21/0.50     #-{F} V0, aSet0-{F}(V1) | pppp1-{T}(V0,V1), pppp22-{T}(V0,V1)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #12: input, references = 3, size of lhs = 1:
% 0.21/0.50     pppp22-{F}(V0,V1) | EXISTS V2: pppp11-{T}(V0,V1,V2)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #13: input, references = 3, size of lhs = 2:
% 0.21/0.50     pppp11-{F}(V0,V1,V2), aElementOf0-{F}(V2,V0) | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #14: input, references = 3, size of lhs = 1:
% 0.21/0.50     pppp11-{F}(V0,V1,V2) | aElementOf0-{T}(V2,V1)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #15: input, references = 3, size of lhs = 1:
% 0.21/0.50     aElement0-{F}(V0) | sdtlseqdt0-{T}(V0,V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #16: input, references = 3, size of lhs = 5:
% 0.21/0.50     aElement0-{F}(V0), aElement0-{F}(V1), sdtlseqdt0-{F}(V1,V0), sdtlseqdt0-{F}(V0,V1), V1 == V0 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #17: input, references = 3, size of lhs = 5:
% 0.21/0.50     aElement0-{F}(V0), aElement0-{F}(V1), sdtlseqdt0-{F}(V1,V0), aElement0-{F}(V2), sdtlseqdt0-{F}(V2,V1) | sdtlseqdt0-{T}(V2,V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #18: input, references = 3, size of lhs = 3:
% 0.21/0.50     aSet0-{F}(V0), aSubsetOf0-{F}(V1,V0), aLowerBoundOfIn0-{F}(V2,V1,V0) | pppp2-{T}(V0,V1,V2)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #19: input, references = 3, size of lhs = 3:
% 0.21/0.50     aSet0-{F}(V0), aSubsetOf0-{F}(V1,V0), pppp2-{F}(V0,V1,V2) | aLowerBoundOfIn0-{T}(V2,V1,V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #20: input, references = 3, size of lhs = 1:
% 0.21/0.50     pppp2-{F}(V0,V1,V2) | aElementOf0-{T}(V2,V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #21: input, references = 3, size of lhs = 2:
% 0.21/0.50     pppp2-{F}(V0,V1,V2), aElementOf0-{F}(V3,V1) | sdtlseqdt0-{T}(V2,V3)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #22: input, references = 3, size of lhs = 2:
% 0.21/0.50     #-{F} V1, aElementOf0-{F}(V2,V0) | pppp2-{T}(V0,V1,V2), pppp23-{T}(V1,V2)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #23: input, references = 3, size of lhs = 1:
% 0.21/0.50     pppp23-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V0,V1,V2)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #24: input, references = 3, size of lhs = 2:
% 0.21/0.50     pppp12-{F}(V0,V1,V2), sdtlseqdt0-{F}(V1,V2) | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #25: input, references = 3, size of lhs = 1:
% 0.21/0.50     pppp12-{F}(V0,V1,V2) | aElementOf0-{T}(V2,V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #26: input, references = 3, size of lhs = 3:
% 0.21/0.50     aSet0-{F}(V0), aSubsetOf0-{F}(V1,V0), aUpperBoundOfIn0-{F}(V2,V1,V0) | pppp3-{T}(V0,V1,V2)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #27: input, references = 3, size of lhs = 3:
% 0.21/0.50     aSet0-{F}(V0), aSubsetOf0-{F}(V1,V0), pppp3-{F}(V0,V1,V2) | aUpperBoundOfIn0-{T}(V2,V1,V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #28: input, references = 3, size of lhs = 1:
% 0.21/0.50     pppp3-{F}(V0,V1,V2) | aElementOf0-{T}(V2,V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #29: input, references = 3, size of lhs = 2:
% 0.21/0.50     pppp3-{F}(V0,V1,V2), aElementOf0-{F}(V3,V1) | sdtlseqdt0-{T}(V3,V2)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #30: input, references = 3, size of lhs = 2:
% 0.21/0.50     #-{F} V1, aElementOf0-{F}(V2,V0) | pppp3-{T}(V0,V1,V2), pppp24-{T}(V1,V2)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #31: input, references = 3, size of lhs = 1:
% 0.21/0.50     pppp24-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V0,V1,V2)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #32: input, references = 3, size of lhs = 2:
% 0.21/0.50     pppp13-{F}(V0,V1,V2), sdtlseqdt0-{F}(V2,V1) | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #33: input, references = 3, size of lhs = 1:
% 0.21/0.50     pppp13-{F}(V0,V1,V2) | aElementOf0-{T}(V2,V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #34: input, references = 3, size of lhs = 3:
% 0.21/0.50     aSet0-{F}(V0), aSubsetOf0-{F}(V1,V0), aInfimumOfIn0-{F}(V2,V1,V0) | pppp4-{T}(V0,V1,V2)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #35: input, references = 3, size of lhs = 3:
% 0.21/0.50     aSet0-{F}(V0), aSubsetOf0-{F}(V1,V0), pppp4-{F}(V0,V1,V2) | aInfimumOfIn0-{T}(V2,V1,V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #36: input, references = 3, size of lhs = 1:
% 0.21/0.50     pppp4-{F}(V0,V1,V2) | aElementOf0-{T}(V2,V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #37: input, references = 3, size of lhs = 1:
% 0.21/0.50     pppp4-{F}(V0,V1,V2) | aLowerBoundOfIn0-{T}(V2,V1,V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #38: input, references = 3, size of lhs = 2:
% 0.21/0.50     pppp4-{F}(V0,V1,V2), aLowerBoundOfIn0-{F}(V3,V1,V0) | sdtlseqdt0-{T}(V3,V2)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #39: input, references = 3, size of lhs = 2:
% 0.21/0.50     aElementOf0-{F}(V2,V0), aLowerBoundOfIn0-{F}(V2,V1,V0) | pppp4-{T}(V0,V1,V2), pppp25-{T}(V0,V1,V2)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #40: input, references = 3, size of lhs = 1:
% 0.21/0.50     pppp25-{F}(V0,V1,V2) | EXISTS V3: pppp14-{T}(V0,V1,V2,V3)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #41: input, references = 3, size of lhs = 2:
% 0.21/0.50     pppp14-{F}(V0,V1,V2,V3), sdtlseqdt0-{F}(V3,V2) | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #42: input, references = 3, size of lhs = 1:
% 0.21/0.50     pppp14-{F}(V0,V1,V2,V3) | aLowerBoundOfIn0-{T}(V3,V1,V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #43: input, references = 4, size of lhs = 3:
% 0.21/0.50     aSet0-{F}(V0), aSubsetOf0-{F}(V1,V0), aSupremumOfIn0-{F}(V2,V1,V0) | pppp5-{T}(V0,V1,V2)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #44: input, references = 3, size of lhs = 3:
% 0.21/0.50     aSet0-{F}(V0), aSubsetOf0-{F}(V1,V0), pppp5-{F}(V0,V1,V2) | aSupremumOfIn0-{T}(V2,V1,V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #45: input, references = 4, size of lhs = 1:
% 0.21/0.50     pppp5-{F}(V0,V1,V2) | aElementOf0-{T}(V2,V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #46: input, references = 3, size of lhs = 1:
% 0.21/0.50     pppp5-{F}(V0,V1,V2) | aUpperBoundOfIn0-{T}(V2,V1,V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #47: input, references = 3, size of lhs = 2:
% 0.21/0.50     pppp5-{F}(V0,V1,V2), aUpperBoundOfIn0-{F}(V3,V1,V0) | sdtlseqdt0-{T}(V2,V3)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #48: input, references = 3, size of lhs = 2:
% 0.21/0.50     aElementOf0-{F}(V2,V0), aUpperBoundOfIn0-{F}(V2,V1,V0) | pppp5-{T}(V0,V1,V2), pppp26-{T}(V0,V1,V2)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #49: input, references = 3, size of lhs = 1:
% 0.21/0.50     pppp26-{F}(V0,V1,V2) | EXISTS V3: pppp15-{T}(V0,V1,V2,V3)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #50: input, references = 3, size of lhs = 2:
% 0.21/0.50     pppp15-{F}(V0,V1,V2,V3), sdtlseqdt0-{F}(V2,V3) | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #51: input, references = 3, size of lhs = 1:
% 0.21/0.50     pppp15-{F}(V0,V1,V2,V3) | aUpperBoundOfIn0-{T}(V3,V1,V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #52: input, references = 3, size of lhs = 5:
% 0.21/0.50     aSet0-{F}(V0), aSubsetOf0-{F}(V1,V0), aSupremumOfIn0-{F}(V2,V1,V0), aSupremumOfIn0-{F}(V3,V1,V0), V3 == V2 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #53: input, references = 3, size of lhs = 5:
% 0.21/0.50     aSet0-{F}(V0), aSubsetOf0-{F}(V1,V0), aInfimumOfIn0-{F}(V2,V1,V0), aInfimumOfIn0-{F}(V3,V1,V0), V3 == V2 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #54: input, references = 3, size of lhs = 1:
% 0.21/0.50     aCompleteLattice0-{F}(V0) | pppp6-{T}(V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #55: input, references = 3, size of lhs = 1:
% 0.21/0.50     pppp6-{F}(V0) | aCompleteLattice0-{T}(V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #56: input, references = 3, size of lhs = 1:
% 0.21/0.50     pppp6-{F}(V0) | aSet0-{T}(V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #57: input, references = 5, size of lhs = 2:
% 0.21/0.50     pppp6-{F}(V0), aSubsetOf0-{F}(V1,V0) | EXISTS V2: pppp16-{T}(V0,V1,V2)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #58: input, references = 3, size of lhs = 2:
% 0.21/0.50     pppp6-{F}(V0), aSubsetOf0-{F}(V1,V0) | EXISTS V2: pppp17-{T}(V0,V1,V2)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #59: input, references = 3, size of lhs = 1:
% 0.21/0.50     aSet0-{F}(V0) | pppp6-{T}(V0), pppp27-{T}(V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #60: input, references = 3, size of lhs = 1:
% 0.21/0.50     pppp27-{F}(V0) | EXISTS V1: pppp18-{T}(V0,V1)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #61: input, references = 3, size of lhs = 3:
% 0.21/0.50     pppp18-{F}(V0,V1), aSupremumOfIn0-{F}(V2,V1,V0), aInfimumOfIn0-{F}(V3,V1,V0) | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #62: input, references = 3, size of lhs = 1:
% 0.21/0.50     pppp18-{F}(V0,V1) | aSubsetOf0-{T}(V1,V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #63: input, references = 3, size of lhs = 1:
% 0.21/0.50     pppp17-{F}(V0,V1,V2) | aInfimumOfIn0-{T}(V2,V1,V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #64: input, references = 5, size of lhs = 1:
% 0.21/0.50     pppp16-{F}(V0,V1,V2) | aSupremumOfIn0-{T}(V2,V1,V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #65: input, references = 3, size of lhs = 2:
% 0.21/0.50     P_szDzozmdt0-{F}(V0,V1), aFunction0-{F}(V0) | aSet0-{T}(V1)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #66: input, references = 3, size of lhs = 2:
% 0.21/0.50     P_szRzazndt0-{F}(V0,V1), aFunction0-{F}(V0) | aSet0-{T}(V1)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #67: input, references = 3, size of lhs = 3:
% 0.21/0.50     aSet0-{F}(V0), aFunction0-{F}(V1), isOn0-{F}(V1,V0) | pppp7-{T}(V1,V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #68: input, references = 3, size of lhs = 3:
% 0.21/0.50     aSet0-{F}(V0), aFunction0-{F}(V1), pppp7-{F}(V1,V0) | isOn0-{T}(V1,V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #69: input, references = 4, size of lhs = 4:
% 0.21/0.50     P_szDzozmdt0-{F}(V0,V2), P_szRzazndt0-{F}(V0,V3), pppp7-{F}(V0,V1), V2 == V3 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #70: input, references = 4, size of lhs = 4:
% 0.21/0.50     P_szDzozmdt0-{F}(V0,V2), P_szRzazndt0-{F}(V0,V3), pppp7-{F}(V0,V1), V3 == V1 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #71: input, references = 3, size of lhs = 2:
% 0.21/0.50     P_szDzozmdt0-{F}(V0,V1), P_szRzazndt0-{F}(V0,V1) | pppp7-{T}(V0,V1)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #72: input, references = 3, size of lhs = 5:
% 0.21/0.50     P_szDzozmdt0-{F}(V0,V1), P_szRzazndt0-{F}(V0,V2), aFunction0-{F}(V0), P_sdtlpdtrp0-{F}(V0,V3,V4), aElementOf0-{F}(V3,V1) | aElementOf0-{T}(V4,V2)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #73: input, references = 3, size of lhs = 2:
% 0.21/0.50     aFunction0-{F}(V0), aFixedPointOf0-{F}(V1,V0) | pppp8-{T}(V0,V1)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #74: input, references = 3, size of lhs = 2:
% 0.21/0.50     aFunction0-{F}(V0), pppp8-{F}(V0,V1) | aFixedPointOf0-{T}(V1,V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #75: input, references = 3, size of lhs = 3:
% 0.21/0.50     P_szDzozmdt0-{F}(V0,V2), P_sdtlpdtrp0-{F}(V0,V1,V3), pppp8-{F}(V0,V1) | aElementOf0-{T}(V1,V2)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #76: input, references = 3, size of lhs = 4:
% 0.21/0.50     P_szDzozmdt0-{F}(V0,V2), P_sdtlpdtrp0-{F}(V0,V1,V3), pppp8-{F}(V0,V1), V3 == V1 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #77: input, references = 3, size of lhs = 3:
% 0.21/0.50     P_szDzozmdt0-{F}(V0,V2), P_sdtlpdtrp0-{F}(V0,V1,V1), aElementOf0-{F}(V1,V2) | pppp8-{T}(V0,V1)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #78: input, references = 3, size of lhs = 2:
% 0.21/0.50     aFunction0-{F}(V0), isMonotone0-{F}(V0) | pppp9-{T}(V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #79: input, references = 3, size of lhs = 2:
% 0.21/0.50     aFunction0-{F}(V0), pppp9-{F}(V0) | isMonotone0-{T}(V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #80: input, references = 3, size of lhs = 7:
% 0.21/0.50     P_szDzozmdt0-{F}(V0,V1), pppp9-{F}(V0), P_sdtlpdtrp0-{F}(V0,V2,V3), aElementOf0-{F}(V2,V1), P_sdtlpdtrp0-{F}(V0,V4,V5), aElementOf0-{F}(V4,V1), sdtlseqdt0-{F}(V4,V2) | sdtlseqdt0-{T}(V5,V3)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #81: input, references = 3, size of lhs = 1:
% 0.21/0.50     P_szDzozmdt0-{F}(V0,V1) | pppp9-{T}(V0), pppp28-{T}(V0,V1)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #82: input, references = 3, size of lhs = 1:
% 0.21/0.50     pppp28-{F}(V0,V1) | EXISTS V2: pppp20-{T}(V0,V2,V1)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #83: input, references = 3, size of lhs = 2:
% 0.21/0.50     pppp20-{F}(V0,V1,V2), P_sdtlpdtrp0-{F}(V0,V1,V3) | EXISTS V4: pppp19-{T}(V0,V4,V1,V2,V3)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #84: input, references = 3, size of lhs = 2:
% 0.21/0.50     pppp20-{F}(V0,V1,V2), P_sdtlpdtrp0-{F}(V0,V1,V3) | aElementOf0-{T}(V1,V2)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #85: input, references = 3, size of lhs = 3:
% 0.21/0.50     pppp19-{F}(V0,V1,V2,V3,V4), P_sdtlpdtrp0-{F}(V0,V1,V5), sdtlseqdt0-{F}(V5,V4) | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #86: input, references = 3, size of lhs = 2:
% 0.21/0.50     pppp19-{F}(V0,V1,V2,V3,V4), P_sdtlpdtrp0-{F}(V0,V1,V5) | sdtlseqdt0-{T}(V1,V2)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #87: input, references = 3, size of lhs = 2:
% 0.21/0.50     pppp19-{F}(V0,V1,V2,V3,V4), P_sdtlpdtrp0-{F}(V0,V1,V5) | aElementOf0-{T}(V1,V3)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #88: input, references = 3, size of lhs = 2:
% 0.21/0.50     P_xU-{F}(V0), P_xf-{F}(V1) | aCompleteLattice0-{T}(V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #89: input, references = 3, size of lhs = 2:
% 0.21/0.50     P_xU-{F}(V0), P_xf-{F}(V1) | aFunction0-{T}(V1)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #90: input, references = 3, size of lhs = 2:
% 0.21/0.50     P_xU-{F}(V0), P_xf-{F}(V1) | isMonotone0-{T}(V1)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #91: input, references = 3, size of lhs = 2:
% 0.21/0.50     P_xU-{F}(V0), P_xf-{F}(V1) | isOn0-{T}(V1,V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #92: input, references = 4, size of lhs = 5:
% 0.21/0.50     P_xU-{F}(V0), P_xf-{F}(V1), P_xS-{F}(V2), P_cS1142-{F}(V1,V3), V2 == V3 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #93: input, references = 5, size of lhs = 5:
% 0.21/0.50     P_xU-{F}(V0), P_xf-{F}(V1), P_xS-{F}(V2), P_cS1142-{F}(V1,V3), P_xT-{F}(V4) | aSubsetOf0-{T}(V4,V2)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #94: input, references = 3, size of lhs = 8:
% 0.21/0.50     P_xU-{F}(V0), P_xf-{F}(V1), P_xS-{F}(V2), P_cS1142-{F}(V1,V3), P_xT-{F}(V4), P_xP-{F}(V5), P_cS1241-{F}(V0,V1,V4,V6), V5 == V6 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #95: input, references = 3, size of lhs = 8:
% 0.21/0.50     P_xU-{F}(V0), P_xf-{F}(V1), P_xS-{F}(V2), P_cS1142-{F}(V1,V3), P_xT-{F}(V4), P_xP-{F}(V5), P_cS1241-{F}(V0,V1,V4,V6), P_xp-{F}(V7) | aInfimumOfIn0-{T}(V7,V5,V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #96: input, references = 3, size of lhs = 9:
% 0.21/0.50     P_xU-{F}(V0), P_xf-{F}(V1), P_xS-{F}(V2), P_cS1142-{F}(V1,V3), P_xT-{F}(V4), P_xP-{F}(V5), P_cS1241-{F}(V0,V1,V4,V6), P_xp-{F}(V7), P_sdtlpdtrp0-{F}(V1,V7,V8) | aLowerBoundOfIn0-{T}(V8,V5,V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #97: input, references = 3, size of lhs = 9:
% 0.21/0.50     P_xU-{F}(V0), P_xf-{F}(V1), P_xS-{F}(V2), P_cS1142-{F}(V1,V3), P_xT-{F}(V4), P_xP-{F}(V5), P_cS1241-{F}(V0,V1,V4,V6), P_xp-{F}(V7), P_sdtlpdtrp0-{F}(V1,V7,V8) | aUpperBoundOfIn0-{T}(V8,V4,V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #98: input, references = 3, size of lhs = 9:
% 0.21/0.50     P_xU-{F}(V0), P_xf-{F}(V1), P_xS-{F}(V2), P_cS1142-{F}(V1,V3), P_xT-{F}(V4), P_xP-{F}(V5), P_cS1241-{F}(V0,V1,V4,V6), P_xp-{F}(V7), P_sdtlpdtrp0-{F}(V1,V7,V8) | aFixedPointOf0-{T}(V7,V1)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #99: input, references = 5, size of lhs = 9:
% 0.21/0.50     P_xU-{F}(V0), P_xf-{F}(V1), P_xS-{F}(V2), P_cS1142-{F}(V1,V3), P_xT-{F}(V4), P_xP-{F}(V5), P_cS1241-{F}(V0,V1,V4,V6), P_xp-{F}(V7), P_sdtlpdtrp0-{F}(V1,V7,V8) | aSupremumOfIn0-{T}(V7,V4,V2)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #100: input, references = 5, size of lhs = 10:
% 0.21/0.50     P_xU-{F}(V0), P_xf-{F}(V1), P_xS-{F}(V2), P_cS1142-{F}(V1,V3), P_xT-{F}(V4), P_xP-{F}(V5), P_cS1241-{F}(V0,V1,V4,V6), P_xp-{F}(V7), P_sdtlpdtrp0-{F}(V1,V7,V8), aSupremumOfIn0-{F}(V9,V4,V2) | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #101: input, references = 4, size of lhs = 1:
% 0.21/0.50     #-{F} V0 | EXISTS V1: P_szDzozmdt0-{T}(V0,V1)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #102: input, references = 4, size of lhs = 1:
% 0.21/0.50     #-{F} V0 | EXISTS V1: P_szRzazndt0-{T}(V0,V1)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #103: input, references = 5, size of lhs = 2:
% 0.21/0.50     #-{F} V0, #-{F} V1 | EXISTS V2: P_sdtlpdtrp0-{T}(V0,V1,V2)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #104: input, references = 4, size of lhs = 0:
% 0.21/0.50     FALSE | EXISTS V0: P_xU-{T}(V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #105: input, references = 4, size of lhs = 0:
% 0.21/0.50     FALSE | EXISTS V0: P_xf-{T}(V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #106: input, references = 4, size of lhs = 0:
% 0.21/0.50     FALSE | EXISTS V0: P_xS-{T}(V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #107: input, references = 5, size of lhs = 1:
% 0.21/0.50     #-{F} V0 | EXISTS V1: P_cS1142-{T}(V0,V1)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #108: input, references = 5, size of lhs = 0:
% 0.21/0.50     FALSE | EXISTS V0: P_xT-{T}(V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #109: input, references = 5, size of lhs = 0:
% 0.21/0.50     FALSE | EXISTS V0: P_xP-{T}(V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #110: input, references = 5, size of lhs = 3:
% 0.21/0.50     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_cS1241-{T}(V0,V1,V2,V3)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #111: input, references = 5, size of lhs = 0:
% 0.21/0.50     FALSE | EXISTS V0: P_xp-{T}(V0)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  number of initial rules = 112
% 0.21/0.50  
% 0.21/0.50  Simplifiers:
% 0.21/0.50  #112: unsound, references = 3, size of lhs = 3:
% 0.21/0.50     aFunction0-{F}(V0), aFunction0-{F}(V1), V0 == V1 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #113: unsound, references = 3, size of lhs = 3:
% 0.21/0.50     isOn0-{F}(V0,V1), isOn0-{F}(V2,V3), V0 == V2 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #114: unsound, references = 3, size of lhs = 3:
% 0.21/0.50     aFixedPointOf0-{F}(V0,V1), aFixedPointOf0-{F}(V2,V3), V1 == V3 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #115: unsound, references = 3, size of lhs = 3:
% 0.21/0.50     isMonotone0-{F}(V0), isMonotone0-{F}(V1), V0 == V1 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #116: unsound, references = 3, size of lhs = 3:
% 0.21/0.50     P_szDzozmdt0-{F}(V0,V1), P_szDzozmdt0-{F}(V0,V3), V1 == V3 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #117: unsound, references = 3, size of lhs = 3:
% 0.21/0.50     P_szRzazndt0-{F}(V0,V1), P_szRzazndt0-{F}(V0,V3), V1 == V3 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #118: unsound, references = 3, size of lhs = 3:
% 0.21/0.50     P_sdtlpdtrp0-{F}(V0,V1,V2), P_sdtlpdtrp0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #119: unsound, references = 3, size of lhs = 3:
% 0.21/0.50     P_xU-{F}(V0), P_xU-{F}(V1), V0 == V1 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #120: unsound, references = 3, size of lhs = 3:
% 0.21/0.50     P_xf-{F}(V0), P_xf-{F}(V1), V0 == V1 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #121: unsound, references = 3, size of lhs = 3:
% 0.21/0.50     P_xS-{F}(V0), P_xS-{F}(V1), V0 == V1 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #122: unsound, references = 3, size of lhs = 3:
% 0.21/0.50     P_cS1142-{F}(V0,V1), P_cS1142-{F}(V0,V3), V1 == V3 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #123: unsound, references = 3, size of lhs = 3:
% 0.21/0.50     P_xT-{F}(V0), P_xT-{F}(V1), V0 == V1 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #124: unsound, references = 3, size of lhs = 3:
% 0.21/0.50     P_xP-{F}(V0), P_xP-{F}(V1), V0 == V1 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #125: unsound, references = 3, size of lhs = 3:
% 0.21/0.50     P_cS1241-{F}(V0,V1,V2,V3), P_cS1241-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #126: unsound, references = 3, size of lhs = 3:
% 0.21/0.50     P_xp-{F}(V0), P_xp-{F}(V1), V0 == V1 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #127: unsound, references = 3, size of lhs = 3:
% 0.21/0.50     pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #128: unsound, references = 3, size of lhs = 3:
% 0.21/0.50     pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #129: unsound, references = 3, size of lhs = 3:
% 0.21/0.50     pppp12-{F}(V0,V1,V2), pppp12-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #130: unsound, references = 3, size of lhs = 3:
% 0.21/0.50     pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #131: unsound, references = 3, size of lhs = 3:
% 0.21/0.50     pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #132: unsound, references = 3, size of lhs = 3:
% 0.21/0.50     pppp15-{F}(V0,V1,V2,V3), pppp15-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #133: unsound, references = 3, size of lhs = 3:
% 0.21/0.50     pppp16-{F}(V0,V1,V2), pppp16-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #134: unsound, references = 3, size of lhs = 3:
% 0.21/0.50     pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #135: unsound, references = 3, size of lhs = 3:
% 0.21/0.50     pppp18-{F}(V0,V1), pppp18-{F}(V0,V3), V1 == V3 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #136: unsound, references = 3, size of lhs = 3:
% 0.21/0.50     pppp19-{F}(V0,V1,V2,V3,V4), pppp19-{F}(V0,V6,V2,V3,V4), V1 == V6 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #137: unsound, references = 3, size of lhs = 3:
% 0.21/0.50     pppp19-{F}(V0,V1,V2,V3,V4), pppp19-{F}(V0,V6,V7,V3,V9), V2 == V7 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #138: unsound, references = 3, size of lhs = 3:
% 0.21/0.50     pppp19-{F}(V0,V1,V2,V3,V4), pppp19-{F}(V0,V6,V7,V8,V9), V3 == V8 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #139: unsound, references = 3, size of lhs = 3:
% 0.21/0.50     pppp19-{F}(V0,V1,V2,V3,V4), pppp19-{F}(V0,V6,V2,V8,V9), V4 == V9 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #140: unsound, references = 3, size of lhs = 3:
% 0.21/0.50     pppp20-{F}(V0,V1,V2), pppp20-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #141: unsound, references = 3, size of lhs = 3:
% 0.21/0.50     pppp20-{F}(V0,V1,V2), pppp20-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #142: unsound, references = 3, size of lhs = 3:
% 0.21/0.50     pppp28-{F}(V0,V1), pppp28-{F}(V0,V3), V1 == V3 | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  number of simplifiers = 31
% 0.21/0.50  
% 0.21/0.50  Learnt:
% 0.21/0.50  #147: exists( #57, #145 ), references = 1, size of lhs = 4:
% 0.21/0.50     pppp6-{F}(V0), aSet0-{F}(V0), pppp0-{F}(V0), aSubsetOf0-{F}(V1,V0) | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #150: exists( #107, #148 ), references = 1, size of lhs = 7:
% 0.21/0.50     P_xU-{F}(V0), P_xf-{F}(V1), P_xS-{F}(V2), pppp6-{F}(V2), aSet0-{F}(V2), pppp0-{F}(V2), P_xT-{F}(V3) | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #152: disj( #4, exists( #107, #148 ) ), references = 1, size of lhs = 6:
% 0.21/0.50     P_xU-{F}(V0), P_xf-{F}(V1), P_xS-{F}(V2), pppp6-{F}(V2), aSet0-{F}(V2), P_xT-{F}(V3) | pppp21-{T}(V2)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #154: exists( #102, #69 ), references = 1, size of lhs = 2:
% 0.21/0.50     P_szDzozmdt0-{F}(V0,V1), pppp7-{F}(V0,V2) | P_szRzazndt0-{T}(V0,V1)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #157: exists( #101, #155 ), references = 1, size of lhs = 2:
% 0.21/0.50     pppp7-{F}(V0,V1), pppp7-{F}(V0,V2) | P_szDzozmdt0-{T}(V0,V2)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #159: exists( #107, #92 ), references = 2, size of lhs = 3:
% 0.21/0.50     P_xU-{F}(V0), P_xf-{F}(V1), P_xS-{F}(V2) | P_cS1142-{T}(V1,V2)
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #161: exists( #110, #100 ), references = 2, size of lhs = 9:
% 0.21/0.50     P_xU-{F}(V0), P_xf-{F}(V1), P_xS-{F}(V2), P_cS1142-{F}(V1,V3), P_xT-{F}(V4), P_xP-{F}(V5), P_xp-{F}(V6), P_sdtlpdtrp0-{F}(V1,V6,V7), aSupremumOfIn0-{F}(V8,V4,V2) | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #164: exists( #57, #162 ), references = 1, size of lhs = 10:
% 0.21/0.50     pppp6-{F}(V0), P_xS-{F}(V0), P_xU-{F}(V1), P_xf-{F}(V2), P_cS1142-{F}(V2,V3), P_xT-{F}(V4), aSubsetOf0-{F}(V4,V0), P_xP-{F}(V5), P_xp-{F}(V6), P_sdtlpdtrp0-{F}(V2,V6,V7) | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #166: exists( #103, #163 ), references = 1, size of lhs = 9:
% 0.21/0.50     pppp6-{F}(V0), P_xS-{F}(V0), P_xU-{F}(V1), P_xf-{F}(V2), P_cS1142-{F}(V2,V3), P_xT-{F}(V4), aSubsetOf0-{F}(V4,V0), P_xP-{F}(V5), P_xp-{F}(V6) | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #168: exists( #111, #165 ), references = 1, size of lhs = 8:
% 0.21/0.50     pppp6-{F}(V0), P_xS-{F}(V0), P_xU-{F}(V1), P_xf-{F}(V2), P_cS1142-{F}(V2,V3), P_xT-{F}(V4), aSubsetOf0-{F}(V4,V0), P_xP-{F}(V5) | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #170: exists( #109, #167 ), references = 1, size of lhs = 7:
% 0.21/0.50     pppp6-{F}(V0), P_xS-{F}(V0), P_xU-{F}(V1), P_xf-{F}(V2), P_cS1142-{F}(V2,V3), P_xT-{F}(V4), aSubsetOf0-{F}(V4,V0) | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #176: mergings( V1 == V5, V2 == V6, V3 == V7; #172 ), references = 1, size of lhs = 5:
% 0.21/0.50     pppp6-{F}(V0), P_xS-{F}(V0), P_xU-{F}(V1), P_xf-{F}(V2), P_cS1142-{F}(V2,V3) | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #186: mergings( V4 == V9, V5 == V10, V6 == V11, V7 == V12; #181 ), references = 1, size of lhs = 8:
% 0.21/0.50     P_xU-{F}(V0), P_xf-{F}(V1), P_xS-{F}(V2), P_cS1142-{F}(V1,V3), P_xT-{F}(V4), P_xP-{F}(V5), P_xp-{F}(V6), P_sdtlpdtrp0-{F}(V1,V6,V7) | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #193: mergings( V0 == V8, V1 == V9, V4 == V11, V5 == V12, V6 == V13, V7 == V14; #180 ), references = 1, size of lhs = 8:
% 0.21/0.50     P_xU-{F}(V0), P_xf-{F}(V1), P_xS-{F}(V2), P_cS1142-{F}(V1,V3), P_xT-{F}(V4), P_xP-{F}(V5), P_xp-{F}(V6), P_sdtlpdtrp0-{F}(V1,V6,V7) | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #198: mergings( V5 == V7, V3 == V9; #194 ), references = 1, size of lhs = 7:
% 0.21/0.50     P_xU-{F}(V0), P_xf-{F}(V1), P_xS-{F}(V2), P_cS1142-{F}(V1,V3), P_xT-{F}(V4), P_xP-{F}(V5), P_xp-{F}(V6) | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #203: mergings( V4 == V6, V1 == V8; #199 ), references = 1, size of lhs = 6:
% 0.21/0.50     P_xU-{F}(V0), P_xf-{F}(V1), P_xS-{F}(V2), P_cS1142-{F}(V1,V3), P_xT-{F}(V4), P_xP-{F}(V5) | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #207: mergings( V3 == V5; #204 ), references = 1, size of lhs = 5:
% 0.21/0.50     P_xU-{F}(V0), P_xf-{F}(V1), P_xS-{F}(V2), P_cS1142-{F}(V1,V3), P_xT-{F}(V4) | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #211: mergings( V3 == V5; #208 ), references = 1, size of lhs = 4:
% 0.21/0.50     P_xU-{F}(V0), P_xf-{F}(V1), P_xS-{F}(V2), P_cS1142-{F}(V1,V3) | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #217: mergings( V1 == V2; #214 ), references = 1, size of lhs = 2:
% 0.21/0.50     P_xU-{F}(V0), P_xf-{F}(V1) | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #221: mergings( V1 == V2; #218 ), references = 1, size of lhs = 1:
% 0.21/0.50     P_xU-{F}(V0) | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  #224: exists( #104, #218 ), references = 1, size of lhs = 0:
% 0.21/0.50     FALSE | FALSE
% 0.21/0.50        (used 0 times, uses = {})
% 0.21/0.50  
% 0.21/0.50  number of learnt formulas = 21
% 0.21/0.50  
% 0.21/0.50  
% 0.21/0.50  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.50  
% 0.21/0.50  randbase = 1
%------------------------------------------------------------------------------