TSTP Solution File: SWW101+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SWW101+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n010.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 06:22:33 EDT 2022

% Result   : Theorem 27.05s 27.22s
% Output   : Refutation 27.05s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWW101+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33  % Computer : n010.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Fri Jul 22 09:23:11 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 27.05/27.22  GeoParameters:
% 27.05/27.22  
% 27.05/27.22  tptp_input =     1
% 27.05/27.22  tptp_output =    0
% 27.05/27.22  nonempty =       1
% 27.05/27.22  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.05/27.22  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 27.05/27.22  
% 27.05/27.22  
% 27.05/27.22  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.05/27.22  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.05/27.22  
% 27.05/27.22  RuleSystem INPUT:
% 27.05/27.22  
% 27.05/27.22  Initial Rules:
% 27.05/27.22  #0: input, references = 4, size of lhs = 1:
% 27.05/27.22     bool-{F}(V0) | pppp0-{T}(V0)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #1: input, references = 5, size of lhs = 1:
% 27.05/27.22     pppp0-{F}(V0) | bool-{T}(V0)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #2: input, references = 4, size of lhs = 5:
% 27.05/27.22     P_false-{F}(V0), P_true-{F}(V1), pppp0-{F}(V2), V2 == V0, V2 == V1 | FALSE
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #3: input, references = 4, size of lhs = 2:
% 27.05/27.22     P_false-{F}(V0), P_true-{F}(V1) | pppp0-{T}(V0)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #4: input, references = 4, size of lhs = 2:
% 27.05/27.22     P_false-{F}(V0), P_true-{F}(V1) | pppp0-{T}(V1)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #5: input, references = 4, size of lhs = 3:
% 27.05/27.22     P_false-{F}(V0), P_true-{F}(V0), P_err-{F}(V2) | FALSE
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #6: input, references = 3, size of lhs = 3:
% 27.05/27.22     P_false-{F}(V0), P_true-{F}(V2), P_err-{F}(V2) | FALSE
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #7: input, references = 3, size of lhs = 3:
% 27.05/27.22     P_false-{F}(V2), P_true-{F}(V1), P_err-{F}(V2) | FALSE
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #8: input, references = 4, size of lhs = 3:
% 27.05/27.22     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2) | d-{T}(V1)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #9: input, references = 4, size of lhs = 3:
% 27.05/27.22     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2) | d-{T}(V0)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #10: input, references = 3, size of lhs = 3:
% 27.05/27.22     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2) | d-{T}(V2)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #11: input, references = 3, size of lhs = 4:
% 27.05/27.22     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), forallprefers-{F}(V3,V4) | pppp1-{T}(V3,V4)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #12: input, references = 4, size of lhs = 4:
% 27.05/27.22     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), pppp1-{F}(V3,V4) | forallprefers-{T}(V3,V4)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #13: input, references = 4, size of lhs = 5:
% 27.05/27.22     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), #-{F} V3, #-{F} V4 | pppp4-{T}(V3,V4,V0,V1)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #14: input, references = 4, size of lhs = 1:
% 27.05/27.22     pppp4-{F}(V2,V3,V2,V3) | pppp1-{T}(V2,V3)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #15: input, references = 4, size of lhs = 4:
% 27.05/27.22     pppp4-{F}(V0,V1,V2,V3), d-{F}(V0), d-{F}(V1), bool-{F}(V1) | pppp1-{T}(V0,V1), bool-{T}(V0)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #16: input, references = 4, size of lhs = 2:
% 27.05/27.22     pppp4-{F}(V0,V1,V2,V3), d-{F}(V1) | pppp1-{T}(V0,V1), d-{T}(V0)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #17: input, references = 3, size of lhs = 3:
% 27.05/27.22     pppp4-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V1), V1 == V3 | d-{T}(V1), pppp3-{T}(V0,V1)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #18: input, references = 3, size of lhs = 3:
% 27.05/27.22     pppp4-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V1), V0 == V2 | d-{T}(V1), pppp3-{T}(V0,V1)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #19: input, references = 3, size of lhs = 4:
% 27.05/27.22     pppp4-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V1), d-{F}(V0), V1 == V3 | pppp3-{T}(V0,V1)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #20: input, references = 3, size of lhs = 4:
% 27.05/27.22     pppp4-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V1), d-{F}(V0), V0 == V2 | pppp3-{T}(V0,V1)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #21: input, references = 3, size of lhs = 1:
% 27.05/27.22     pppp3-{F}(V0,V1) | bool-{T}(V1)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #22: input, references = 3, size of lhs = 2:
% 27.05/27.22     pppp3-{F}(V0,V1), bool-{F}(V0) | FALSE
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #23: input, references = 3, size of lhs = 1:
% 27.05/27.22     pppp3-{F}(V0,V1) | d-{T}(V1)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #24: input, references = 3, size of lhs = 1:
% 27.05/27.22     pppp3-{F}(V0,V1) | d-{T}(V0)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #25: input, references = 3, size of lhs = 4:
% 27.05/27.22     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), existsprefers-{F}(V3,V4) | pppp2-{T}(V3,V4)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #26: input, references = 3, size of lhs = 4:
% 27.05/27.22     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), pppp2-{F}(V3,V4) | existsprefers-{T}(V3,V4)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #27: input, references = 3, size of lhs = 5:
% 27.05/27.22     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), #-{F} V3, #-{F} V4 | pppp6-{T}(V3,V4,V0,V1)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #28: input, references = 3, size of lhs = 1:
% 27.05/27.22     pppp6-{F}(V3,V2,V2,V3) | pppp2-{T}(V3,V2)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #29: input, references = 4, size of lhs = 4:
% 27.05/27.22     pppp6-{F}(V0,V1,V2,V3), d-{F}(V0), d-{F}(V1), bool-{F}(V1) | pppp2-{T}(V0,V1), bool-{T}(V0)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #30: input, references = 4, size of lhs = 2:
% 27.05/27.22     pppp6-{F}(V0,V1,V2,V3), d-{F}(V1) | pppp2-{T}(V0,V1), d-{T}(V0)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #31: input, references = 3, size of lhs = 3:
% 27.05/27.22     pppp6-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1), V1 == V2 | d-{T}(V1), pppp5-{T}(V0,V1)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #32: input, references = 3, size of lhs = 3:
% 27.05/27.22     pppp6-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1), V0 == V3 | d-{T}(V1), pppp5-{T}(V0,V1)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #33: input, references = 3, size of lhs = 4:
% 27.05/27.22     pppp6-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1), d-{F}(V0), V1 == V2 | pppp5-{T}(V0,V1)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #34: input, references = 3, size of lhs = 4:
% 27.05/27.22     pppp6-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1), d-{F}(V0), V0 == V3 | pppp5-{T}(V0,V1)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #35: input, references = 3, size of lhs = 1:
% 27.05/27.22     pppp5-{F}(V0,V1) | bool-{T}(V1)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #36: input, references = 3, size of lhs = 2:
% 27.05/27.22     pppp5-{F}(V0,V1), bool-{F}(V0) | FALSE
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #37: input, references = 3, size of lhs = 1:
% 27.05/27.22     pppp5-{F}(V0,V1) | d-{T}(V1)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #38: input, references = 3, size of lhs = 1:
% 27.05/27.22     pppp5-{F}(V0,V1) | d-{T}(V0)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #39: input, references = 3, size of lhs = 5:
% 27.05/27.22     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_phi-{F}(V3,V4), V4 == V2 | d-{T}(V3)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #40: input, references = 4, size of lhs = 6:
% 27.05/27.22     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_phi-{F}(V3,V4), d-{F}(V3), V4 == V3 | FALSE
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #41: input, references = 4, size of lhs = 6:
% 27.05/27.22     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_phi-{F}(V3,V4), V4 == V3, V4 == V2 | FALSE
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #42: input, references = 4, size of lhs = 4:
% 27.05/27.22     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V1) | bool-{T}(V3)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #43: input, references = 16, size of lhs = 6:
% 27.05/27.22     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), bool-{F}(V3), V4 == V1 | FALSE
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #44: input, references = 13, size of lhs = 5:
% 27.05/27.22     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V0), bool-{F}(V3) | FALSE
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #45: input, references = 5, size of lhs = 5:
% 27.05/27.22     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), V4 == V0 | bool-{T}(V3)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #46: input, references = 5, size of lhs = 6:
% 27.05/27.22     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_phi-{F}(V3,V4), P_impl-{F}(V3,V5,V6), V6 == V4 | bool-{T}(V3)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #47: input, references = 7, size of lhs = 7:
% 27.05/27.22     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_phi-{F}(V3,V4), P_impl-{F}(V5,V3,V6), bool-{F}(V5), V6 == V4 | bool-{T}(V3)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #48: input, references = 6, size of lhs = 6:
% 27.05/27.22     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_impl-{F}(V0,V3,V4), bool-{F}(V3), V4 == V1 | FALSE
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #49: input, references = 5, size of lhs = 6:
% 27.05/27.22     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_impl-{F}(V1,V3,V4), bool-{F}(V3), V4 == V3 | FALSE
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #50: input, references = 5, size of lhs = 6:
% 27.05/27.22     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_phi-{F}(V3,V4), P_lazy_impl-{F}(V3,V5,V6), V6 == V4 | bool-{T}(V3)
% 27.05/27.22        (used 0 times, uses = {})
% 27.05/27.22  
% 27.05/27.22  #51: input, references = 4, size of lhs = 5:
% 27.05/27.22     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_lazy_impl-{F}(V0,V3,V4), V4 == V1 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #52: input, references = 4, size of lhs = 6:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_lazy_impl-{F}(V1,V3,V4), P_phi-{F}(V3,V5), V4 == V5 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #53: input, references = 5, size of lhs = 6:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_phi-{F}(V3,V4), P_and1-{F}(V3,V5,V6), V6 == V4 | bool-{T}(V3)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #54: input, references = 6, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_phi-{F}(V3,V4), P_and1-{F}(V5,V3,V6), bool-{F}(V5), V6 == V4 | bool-{T}(V3)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #55: input, references = 4, size of lhs = 6:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_and1-{F}(V0,V3,V4), bool-{F}(V3), V4 == V0 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #56: input, references = 4, size of lhs = 6:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_and1-{F}(V1,V3,V4), bool-{F}(V3), V4 == V3 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #57: input, references = 4, size of lhs = 10:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_f1-{F}(V3,V4,V5,V6), P_prop-{F}(V5,V7), P_impl-{F}(V4,V5,V8), P_impl-{F}(V3,V8,V9), P_impl-{F}(V9,V5,V10), P_lazy_impl-{F}(V7,V10,V11), V6 == V11 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #58: input, references = 3, size of lhs = 4:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_and2-{F}(V3,V4,V5) | EXISTS V6: pppp7-{T}(V3,V4,V6,V5)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #59: input, references = 3, size of lhs = 5:
% 27.05/27.23     pppp7-{F}(V0,V1,V2,V3), P_f1-{F}(V0,V1,V2,V4), P_phi-{F}(V4,V5), P_f1-{F}(V0,V1,V6,V7), forallprefers-{F}(V7,V4) | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #60: input, references = 3, size of lhs = 4:
% 27.05/27.23     pppp7-{F}(V0,V1,V2,V3), P_f1-{F}(V0,V1,V2,V4), P_phi-{F}(V4,V5), V3 == V5 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #61: input, references = 5, size of lhs = 6:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_phi-{F}(V3,V4), P_lazy_and1-{F}(V3,V5,V6), V6 == V4 | bool-{T}(V3)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #62: input, references = 4, size of lhs = 5:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_lazy_and1-{F}(V0,V3,V4), V4 == V0 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #63: input, references = 4, size of lhs = 6:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_lazy_and1-{F}(V1,V3,V4), P_phi-{F}(V3,V5), V4 == V5 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #64: input, references = 4, size of lhs = 10:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_f2-{F}(V3,V4,V5,V6), P_prop-{F}(V5,V7), P_impl-{F}(V4,V5,V8), P_lazy_impl-{F}(V3,V8,V9), P_impl-{F}(V9,V5,V10), P_lazy_impl-{F}(V7,V10,V11), V6 == V11 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #65: input, references = 3, size of lhs = 4:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_lazy_and2-{F}(V3,V4,V5) | EXISTS V6: pppp8-{T}(V3,V4,V6,V5)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #66: input, references = 3, size of lhs = 5:
% 27.05/27.23     pppp8-{F}(V0,V1,V2,V3), P_f2-{F}(V0,V1,V2,V4), P_phi-{F}(V4,V5), P_f2-{F}(V0,V1,V6,V7), forallprefers-{F}(V7,V4) | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #67: input, references = 3, size of lhs = 4:
% 27.05/27.23     pppp8-{F}(V0,V1,V2,V3), P_f2-{F}(V0,V1,V2,V4), P_phi-{F}(V4,V5), V3 == V5 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #68: input, references = 5, size of lhs = 6:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_phi-{F}(V3,V4), P_or1-{F}(V3,V5,V6), V6 == V4 | bool-{T}(V3)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #69: input, references = 6, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_phi-{F}(V3,V4), P_or1-{F}(V5,V3,V6), bool-{F}(V5), V6 == V4 | bool-{T}(V3)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #70: input, references = 4, size of lhs = 6:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_or1-{F}(V1,V3,V4), bool-{F}(V3), V4 == V1 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #71: input, references = 4, size of lhs = 6:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_or1-{F}(V0,V3,V4), bool-{F}(V3), V4 == V3 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #72: input, references = 4, size of lhs = 11:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_f3-{F}(V3,V4,V5,V6), P_prop-{F}(V5,V7), P_impl-{F}(V3,V5,V8), P_impl-{F}(V4,V5,V9), P_impl-{F}(V9,V5,V10), P_impl-{F}(V8,V10,V11), P_lazy_impl-{F}(V7,V11,V12), V6 == V12 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #73: input, references = 3, size of lhs = 4:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_or2-{F}(V3,V4,V5) | EXISTS V6: pppp9-{T}(V3,V4,V6,V5)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #74: input, references = 3, size of lhs = 5:
% 27.05/27.23     pppp9-{F}(V0,V1,V2,V3), P_f3-{F}(V0,V1,V2,V4), P_phi-{F}(V4,V5), P_f3-{F}(V0,V1,V6,V7), forallprefers-{F}(V7,V4) | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #75: input, references = 3, size of lhs = 4:
% 27.05/27.23     pppp9-{F}(V0,V1,V2,V3), P_f3-{F}(V0,V1,V2,V4), P_phi-{F}(V4,V5), V3 == V5 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #76: input, references = 3, size of lhs = 4:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_exists1-{F}(V3,V4) | EXISTS V5: pppp10-{T}(V5,V3,V4)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #77: input, references = 3, size of lhs = 5:
% 27.05/27.23     pppp10-{F}(V0,V1,V2), P_apply-{F}(V1,V0,V3), P_phi-{F}(V3,V4), P_apply-{F}(V1,V5,V6), existsprefers-{F}(V6,V3) | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #78: input, references = 3, size of lhs = 4:
% 27.05/27.23     pppp10-{F}(V0,V1,V2), P_apply-{F}(V1,V0,V3), P_phi-{F}(V3,V4), V2 == V4 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #79: input, references = 5, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_f4-{F}(V3,V4,V5,V6), P_apply-{F}(V3,V4,V7), P_impl-{F}(V7,V5,V8), V6 == V8 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #80: input, references = 3, size of lhs = 4:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_f5-{F}(V3,V4,V5) | EXISTS V6: pppp11-{T}(V6,V3,V4,V5)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #81: input, references = 3, size of lhs = 5:
% 27.05/27.23     pppp11-{F}(V0,V1,V2,V3), P_f4-{F}(V1,V0,V2,V4), P_phi-{F}(V4,V5), P_f4-{F}(V1,V6,V2,V7), forallprefers-{F}(V7,V4) | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #82: input, references = 3, size of lhs = 4:
% 27.05/27.23     pppp11-{F}(V0,V1,V2,V3), P_f4-{F}(V1,V0,V2,V4), P_phi-{F}(V4,V5), V3 == V5 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #83: input, references = 147, size of lhs = 9:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_f6-{F}(V3,V4,V5), P_prop-{F}(V4,V6), P_f5-{F}(V3,V4,V7), P_impl-{F}(V7,V4,V8), P_lazy_impl-{F}(V6,V8,V9), V5 == V9 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #84: input, references = 3, size of lhs = 4:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_exists2-{F}(V3,V4) | EXISTS V5: pppp12-{T}(V3,V5,V4)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #85: input, references = 3, size of lhs = 5:
% 27.05/27.23     pppp12-{F}(V0,V1,V2), P_f6-{F}(V0,V1,V3), P_phi-{F}(V3,V4), P_f6-{F}(V0,V5,V6), forallprefers-{F}(V6,V3) | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #86: input, references = 3, size of lhs = 4:
% 27.05/27.23     pppp12-{F}(V0,V1,V2), P_f6-{F}(V0,V1,V3), P_phi-{F}(V3,V4), V2 == V4 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #87: input, references = 4, size of lhs = 5:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_false1-{F}(V3), V3 == V0 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #88: input, references = 4, size of lhs = 8:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_false1-{F}(V3), P_f7-{F}(V4,V5), P_prop-{F}(V4,V6), P_lazy_impl-{F}(V6,V4,V7), V5 == V7 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #89: input, references = 5, size of lhs = 5:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_false1-{F}(V3), P_false2-{F}(V4) | EXISTS V5: pppp13-{T}(V5,V4)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #90: input, references = 7, size of lhs = 5:
% 27.05/27.23     pppp13-{F}(V0,V1), P_f7-{F}(V0,V2), P_phi-{F}(V2,V3), P_f7-{F}(V4,V5), forallprefers-{F}(V5,V2) | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #91: input, references = 5, size of lhs = 4:
% 27.05/27.23     pppp13-{F}(V0,V1), P_f7-{F}(V0,V2), P_phi-{F}(V2,V3), V1 == V3 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #92: input, references = 5, size of lhs = 8:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_false1-{F}(V3), P_false2-{F}(V4), P_not1-{F}(V5,V6), P_phi-{F}(V5,V7), V6 == V7 | bool-{T}(V5)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #93: input, references = 4, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_false1-{F}(V3), P_false2-{F}(V4), P_not1-{F}(V0,V5), V5 == V1 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #94: input, references = 4, size of lhs = 8:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_false1-{F}(V3), P_false2-{F}(V4), P_not1-{F}(V0,V5), P_not1-{F}(V1,V6), V6 == V0 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #95: input, references = 4, size of lhs = 10:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_false1-{F}(V3), P_false2-{F}(V4), P_not1-{F}(V0,V5), P_not1-{F}(V1,V6), P_not2-{F}(V7,V8), P_impl-{F}(V7,V4,V9), V8 == V9 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #96: input, references = 4, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_false1-{F}(V4), P_false2-{F}(V4), P_not1-{F}(V0,V5), P_not1-{F}(V1,V6) | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #97: input, references = 4, size of lhs = 0:
% 27.05/27.23     FALSE | EXISTS V0: P_false-{T}(V0)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #98: input, references = 4, size of lhs = 0:
% 27.05/27.23     FALSE | EXISTS V0: P_true-{T}(V0)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #99: input, references = 5, size of lhs = 0:
% 27.05/27.23     FALSE | EXISTS V0: P_err-{T}(V0)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #100: input, references = 5, size of lhs = 1:
% 27.05/27.23     #-{F} V0 | EXISTS V1: P_phi-{T}(V0,V1)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #101: input, references = 6, size of lhs = 1:
% 27.05/27.23     #-{F} V0 | EXISTS V1: P_prop-{T}(V0,V1)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #102: input, references = 8, size of lhs = 2:
% 27.05/27.23     #-{F} V0, #-{F} V1 | EXISTS V2: P_impl-{T}(V0,V1,V2)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #103: input, references = 6, size of lhs = 2:
% 27.05/27.23     #-{F} V0, #-{F} V1 | EXISTS V2: P_lazy_impl-{T}(V0,V1,V2)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #104: input, references = 7, size of lhs = 2:
% 27.05/27.23     #-{F} V0, #-{F} V1 | EXISTS V2: P_and1-{T}(V0,V1,V2)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #105: input, references = 4, size of lhs = 3:
% 27.05/27.23     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_f1-{T}(V0,V1,V2,V3)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #106: input, references = 3, size of lhs = 2:
% 27.05/27.23     #-{F} V0, #-{F} V1 | EXISTS V2: P_and2-{T}(V0,V1,V2)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #107: input, references = 6, size of lhs = 2:
% 27.05/27.23     #-{F} V0, #-{F} V1 | EXISTS V2: P_lazy_and1-{T}(V0,V1,V2)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #108: input, references = 4, size of lhs = 3:
% 27.05/27.23     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_f2-{T}(V0,V1,V2,V3)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #109: input, references = 3, size of lhs = 2:
% 27.05/27.23     #-{F} V0, #-{F} V1 | EXISTS V2: P_lazy_and2-{T}(V0,V1,V2)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #110: input, references = 7, size of lhs = 2:
% 27.05/27.23     #-{F} V0, #-{F} V1 | EXISTS V2: P_or1-{T}(V0,V1,V2)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #111: input, references = 4, size of lhs = 3:
% 27.05/27.23     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_f3-{T}(V0,V1,V2,V3)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #112: input, references = 3, size of lhs = 2:
% 27.05/27.23     #-{F} V0, #-{F} V1 | EXISTS V2: P_or2-{T}(V0,V1,V2)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #113: input, references = 3, size of lhs = 1:
% 27.05/27.23     #-{F} V0 | EXISTS V1: P_exists1-{T}(V0,V1)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #114: input, references = 3, size of lhs = 2:
% 27.05/27.23     #-{F} V0, #-{F} V1 | EXISTS V2: P_apply-{T}(V0,V1,V2)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #115: input, references = 6, size of lhs = 3:
% 27.05/27.23     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_f4-{T}(V0,V1,V2,V3)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #116: input, references = 3, size of lhs = 2:
% 27.05/27.23     #-{F} V0, #-{F} V1 | EXISTS V2: P_f5-{T}(V0,V1,V2)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #117: input, references = 146, size of lhs = 2:
% 27.05/27.23     #-{F} V0, #-{F} V1 | EXISTS V2: P_f6-{T}(V0,V1,V2)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #118: input, references = 3, size of lhs = 1:
% 27.05/27.23     #-{F} V0 | EXISTS V1: P_exists2-{T}(V0,V1)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #119: input, references = 4, size of lhs = 0:
% 27.05/27.23     FALSE | EXISTS V0: P_false1-{T}(V0)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #120: input, references = 4, size of lhs = 1:
% 27.05/27.23     #-{F} V0 | EXISTS V1: P_f7-{T}(V0,V1)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #121: input, references = 5, size of lhs = 0:
% 27.05/27.23     FALSE | EXISTS V0: P_false2-{T}(V0)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #122: input, references = 6, size of lhs = 1:
% 27.05/27.23     #-{F} V0 | EXISTS V1: P_not1-{T}(V0,V1)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #123: input, references = 4, size of lhs = 1:
% 27.05/27.23     #-{F} V0 | EXISTS V1: P_not2-{T}(V0,V1)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  number of initial rules = 124
% 27.05/27.23  
% 27.05/27.23  Simplifiers:
% 27.05/27.23  #124: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     P_false-{F}(V0), P_false-{F}(V1), V0 == V1 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #125: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     P_true-{F}(V0), P_true-{F}(V1), V0 == V1 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #126: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     P_err-{F}(V0), P_err-{F}(V1), V0 == V1 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #127: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     P_phi-{F}(V0,V1), P_phi-{F}(V0,V3), V1 == V3 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #128: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     P_prop-{F}(V0,V1), P_prop-{F}(V0,V3), V1 == V3 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #129: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     P_impl-{F}(V0,V1,V2), P_impl-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #130: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     P_lazy_impl-{F}(V0,V1,V2), P_lazy_impl-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #131: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     P_and1-{F}(V0,V1,V2), P_and1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #132: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     P_f1-{F}(V0,V1,V2,V3), P_f1-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #133: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     P_and2-{F}(V0,V1,V2), P_and2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #134: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     P_lazy_and1-{F}(V0,V1,V2), P_lazy_and1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #135: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     P_f2-{F}(V0,V1,V2,V3), P_f2-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #136: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     P_lazy_and2-{F}(V0,V1,V2), P_lazy_and2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #137: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     P_or1-{F}(V0,V1,V2), P_or1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #138: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     P_f3-{F}(V0,V1,V2,V3), P_f3-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #139: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     P_or2-{F}(V0,V1,V2), P_or2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #140: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     P_exists1-{F}(V0,V1), P_exists1-{F}(V0,V3), V1 == V3 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #141: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     P_apply-{F}(V0,V1,V2), P_apply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #142: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     P_f4-{F}(V0,V1,V2,V3), P_f4-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #143: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     P_f5-{F}(V0,V1,V2), P_f5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #144: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     P_f6-{F}(V0,V1,V2), P_f6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #145: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     P_exists2-{F}(V0,V1), P_exists2-{F}(V0,V3), V1 == V3 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #146: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     P_false1-{F}(V0), P_false1-{F}(V1), V0 == V1 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #147: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     P_f7-{F}(V0,V1), P_f7-{F}(V0,V3), V1 == V3 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #148: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     P_false2-{F}(V0), P_false2-{F}(V1), V0 == V1 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #149: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     P_not1-{F}(V0,V1), P_not1-{F}(V0,V3), V1 == V3 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #150: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     P_not2-{F}(V0,V1), P_not2-{F}(V0,V3), V1 == V3 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #151: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #152: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #153: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #154: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #155: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #156: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #157: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #158: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #159: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #160: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #161: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     pppp10-{F}(V0,V1,V2), pppp10-{F}(V3,V1,V2), V0 == V3 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #162: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     pppp10-{F}(V0,V1,V2), pppp10-{F}(V3,V1,V5), V2 == V5 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #163: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #164: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V4,V1,V2,V7), V3 == V7 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #165: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     pppp12-{F}(V0,V1,V2), pppp12-{F}(V0,V4,V2), V1 == V4 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #166: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     pppp12-{F}(V0,V1,V2), pppp12-{F}(V0,V4,V5), V2 == V5 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #167: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     pppp13-{F}(V0,V1), pppp13-{F}(V2,V1), V0 == V2 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #168: unsound, references = 3, size of lhs = 3:
% 27.05/27.23     pppp13-{F}(V0,V1), pppp13-{F}(V2,V3), V1 == V3 | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  number of simplifiers = 45
% 27.05/27.23  
% 27.05/27.23  Learnt:
% 27.05/27.23  #170: exists( #99, #5 ), references = 2, size of lhs = 2:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V0) | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #172: exists( #119, #87 ), references = 1, size of lhs = 3:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2) | P_false1-{T}(V0)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #174: exists( #100, #41 ), references = 1, size of lhs = 4:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), #-{F} V3 | P_phi-{T}(V3,V3), P_phi-{T}(V3,V2)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #184: mergings( V2 == V7, V3 == V8, V4 == V9; #179 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false1-{F}(V0), P_false2-{F}(V1), P_false-{F}(V2), P_true-{F}(V3), P_err-{F}(V4), P_prop-{F}(V5,V2), P_phi-{F}(V5,V6) | P_not1-{T}(V5,V6)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #188: mergings( V2 == V7, V3 == V8, V4 == V9; #180 ), references = 1, size of lhs = 8:
% 27.05/27.23     P_false1-{F}(V0), P_false2-{F}(V1), P_false-{F}(V2), P_true-{F}(V3), P_err-{F}(V4), P_phi-{F}(V5,V6), P_prop-{F}(V5,V7), V7 == V3 | P_not1-{T}(V5,V6)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #196: mergings( V3 == V6, V4 == V7, V5 == V8; #191 ), references = 1, size of lhs = 6:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V0), P_phi-{F}(V3,V4), #-{F} V5 | P_impl-{T}(V3,V5,V4)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #200: mergings( V3 == V6, V4 == V7, V5 == V8; #192 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_phi-{F}(V3,V4), P_prop-{F}(V3,V5), V5 == V1, #-{F} V6 | P_impl-{T}(V3,V6,V4)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #208: mergings( V3 == V6, V4 == V7, V5 == V8; #203 ), references = 1, size of lhs = 6:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V0), P_phi-{F}(V3,V4), #-{F} V5 | P_lazy_impl-{T}(V3,V5,V4)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #212: mergings( V3 == V6, V4 == V7, V5 == V8; #204 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_phi-{F}(V3,V4), P_prop-{F}(V3,V5), V5 == V1, #-{F} V6 | P_lazy_impl-{T}(V3,V6,V4)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #220: mergings( V3 == V6, V4 == V7, V5 == V8; #215 ), references = 1, size of lhs = 6:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V0), P_phi-{F}(V3,V4), #-{F} V5 | P_and1-{T}(V3,V5,V4)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #224: mergings( V3 == V6, V4 == V7, V5 == V8; #216 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_phi-{F}(V3,V4), P_prop-{F}(V3,V5), V5 == V1, #-{F} V6 | P_and1-{T}(V3,V6,V4)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #232: mergings( V3 == V6, V4 == V7, V5 == V8; #227 ), references = 1, size of lhs = 6:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V0), P_phi-{F}(V3,V4), #-{F} V5 | P_lazy_and1-{T}(V3,V5,V4)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #236: mergings( V3 == V6, V4 == V7, V5 == V8; #228 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_phi-{F}(V3,V4), P_prop-{F}(V3,V5), V5 == V1, #-{F} V6 | P_lazy_and1-{T}(V3,V6,V4)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #244: mergings( V3 == V6, V4 == V7, V5 == V8; #239 ), references = 1, size of lhs = 6:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V0), P_phi-{F}(V3,V4), #-{F} V5 | P_or1-{T}(V3,V5,V4)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #248: mergings( V3 == V6, V4 == V7, V5 == V8; #240 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_phi-{F}(V3,V4), P_prop-{F}(V3,V5), V5 == V1, #-{F} V6 | P_or1-{T}(V3,V6,V4)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #251: exists( #100, #40 ), references = 2, size of lhs = 4:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), d-{F}(V3) | P_phi-{T}(V3,V3)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #254: exists( #101, #43 ), references = 2, size of lhs = 4:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), bool-{F}(V3) | P_prop-{T}(V3,V1)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #261: mergings( V2 == V5, V3 == V6, V4 == V7; #257 ), references = 1, size of lhs = 4:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), #-{F} V3 | P_prop-{T}(V3,V0), P_prop-{T}(V3,V1)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #264: exists( #122, #93 ), references = 2, size of lhs = 5:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_false1-{F}(V3), P_false2-{F}(V4) | P_not1-{T}(V0,V1)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #269: exists( #102, #48 ), references = 1, size of lhs = 4:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), bool-{F}(V3) | P_impl-{T}(V0,V3,V1)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #274: exists( #103, #51 ), references = 4, size of lhs = 4:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), #-{F} V3 | P_lazy_impl-{T}(V0,V3,V1)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #282: exists( #120, #88 ), references = 6, size of lhs = 6:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_false1-{F}(V3), P_prop-{F}(V4,V5), P_lazy_impl-{F}(V5,V4,V6) | P_f7-{T}(V4,V6)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #284: exists( #107, #62 ), references = 1, size of lhs = 4:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), #-{F} V3 | P_lazy_and1-{T}(V0,V3,V0)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #288: exists( #102, #79 ), references = 2, size of lhs = 5:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_apply-{F}(V3,V4,V5), P_f4-{F}(V3,V4,V6,V7) | P_impl-{T}(V5,V6,V7)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #301: mergings( V4 == V7, V7 == V11, V5 == V8, V8 == V12, V6 == V9, V9 == V13; #293 ), references = 1, size of lhs = 7:
% 27.05/27.23     bool-{F}(V0), P_false-{F}(V1), P_true-{F}(V2), P_err-{F}(V3), P_prop-{F}(V4,V1), P_phi-{F}(V4,V5), P_apply-{F}(V6,V7,V0) | P_f4-{T}(V6,V7,V4,V5)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #308: mergings( V4 == V7, V7 == V11, V5 == V8, V8 == V12, V6 == V9, V9 == V13; #294 ), references = 1, size of lhs = 8:
% 27.05/27.23     bool-{F}(V0), P_false-{F}(V1), P_true-{F}(V2), P_err-{F}(V3), P_apply-{F}(V4,V5,V0), P_phi-{F}(V6,V7), P_prop-{F}(V6,V8), V8 == V2 | P_f4-{T}(V4,V5,V6,V7)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #310: exists( #104, #55 ), references = 1, size of lhs = 4:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), bool-{F}(V3) | P_and1-{T}(V0,V3,V0)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #324: mergings( V0 == V3, V3 == V7, V7 == V9, V1 == V4, V4 == V10, V2 == V5, V5 == V8; #316 ), references = 4, size of lhs = 6:
% 27.05/27.23     P_err-{F}(V0), P_false-{F}(V1), P_true-{F}(V2), #-{F} V3, V3 == V1, V3 == V2 | P_prop-{T}(V3,V1)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #327: exists( #105, #57 ), references = 1, size of lhs = 8:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_impl-{F}(V5,V3,V6), P_impl-{F}(V7,V6,V8), P_impl-{F}(V8,V3,V9), P_lazy_impl-{F}(V4,V9,V10) | P_f1-{T}(V7,V5,V3,V10)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #330: exists( #108, #64 ), references = 1, size of lhs = 8:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_impl-{F}(V5,V3,V6), P_lazy_impl-{F}(V7,V6,V8), P_impl-{F}(V8,V3,V9), P_lazy_impl-{F}(V4,V9,V10) | P_f2-{T}(V7,V5,V3,V10)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #333: exists( #115, #79 ), references = 1, size of lhs = 5:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_apply-{F}(V3,V4,V5), P_impl-{F}(V5,V6,V7) | P_f4-{T}(V3,V4,V6,V7)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #335: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #345: mergings( V3 == V6, V4 == V7, V5 == V8; #339 ), references = 1, size of lhs = 6:
% 27.05/27.23     bool-{F}(V0), P_false-{F}(V1), P_true-{F}(V2), P_err-{F}(V3), P_prop-{F}(V4,V1), P_phi-{F}(V4,V5) | P_impl-{T}(V0,V4,V5)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #349: mergings( V3 == V6, V4 == V7, V5 == V8; #340 ), references = 1, size of lhs = 7:
% 27.05/27.23     bool-{F}(V0), P_false-{F}(V1), P_true-{F}(V2), P_err-{F}(V3), P_phi-{F}(V4,V5), P_prop-{F}(V4,V6), V6 == V2 | P_impl-{T}(V0,V4,V5)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #352: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #354: exists( #111, #72 ), references = 1, size of lhs = 9:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_impl-{F}(V5,V3,V6), P_impl-{F}(V7,V3,V8), P_impl-{F}(V8,V3,V9), P_impl-{F}(V6,V9,V10), P_lazy_impl-{F}(V4,V10,V11) | P_f3-{T}(V5,V7,V3,V11)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #357: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #367: mergings( V3 == V6, V4 == V7, V5 == V8; #361 ), references = 1, size of lhs = 6:
% 27.05/27.23     bool-{F}(V0), P_false-{F}(V1), P_true-{F}(V2), P_err-{F}(V3), P_prop-{F}(V4,V1), P_phi-{F}(V4,V5) | P_and1-{T}(V0,V4,V5)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #371: mergings( V3 == V6, V4 == V7, V5 == V8; #362 ), references = 1, size of lhs = 7:
% 27.05/27.23     bool-{F}(V0), P_false-{F}(V1), P_true-{F}(V2), P_err-{F}(V3), P_phi-{F}(V4,V5), P_prop-{F}(V4,V6), V6 == V2 | P_and1-{T}(V0,V4,V5)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #375: mergings( V3 == V6, V4 == V7, V5 == V8; #363 ), references = 1, size of lhs = 7:
% 27.05/27.23     bool-{F}(V0), P_false-{F}(V1), P_true-{F}(V2), P_err-{F}(V3), P_phi-{F}(V4,V5), P_impl-{F}(V1,V4,V6), V6 == V2 | P_and1-{T}(V0,V4,V5)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #378: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #380: exists( #110, #71 ), references = 1, size of lhs = 4:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), bool-{F}(V3) | P_or1-{T}(V0,V3,V3)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #383: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #385: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #387: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #393: mergings( V4 == V7, V5 == V8, V6 == V9; #389 ), references = 1, size of lhs = 5:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), bool-{F}(V3), P_apply-{F}(V4,V5,V1) | P_f4-{T}(V4,V5,V3,V3)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #395: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #397: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #401: exists( #122, #96 ), references = 2, size of lhs = 6:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_false1-{F}(V3), P_false2-{F}(V3), P_not1-{F}(V0,V4) | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #402: exists( #122, #94 ), references = 1, size of lhs = 6:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_false1-{F}(V3), P_false2-{F}(V4), P_not1-{F}(V0,V5) | P_not1-{T}(V1,V0)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #405: exists( #123, #95 ), references = 1, size of lhs = 8:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_false1-{F}(V3), P_false2-{F}(V4), P_not1-{F}(V0,V5), P_not1-{F}(V1,V6), P_impl-{F}(V7,V4,V8) | P_not2-{T}(V7,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #407: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #417: mergings( V3 == V6, V4 == V7, V5 == V8; #411 ), references = 1, size of lhs = 6:
% 27.05/27.23     bool-{F}(V0), P_false-{F}(V1), P_true-{F}(V2), P_err-{F}(V3), P_prop-{F}(V4,V1), P_phi-{F}(V4,V5) | P_or1-{T}(V0,V4,V5)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #421: mergings( V3 == V6, V4 == V7, V5 == V8; #412 ), references = 1, size of lhs = 7:
% 27.05/27.23     bool-{F}(V0), P_false-{F}(V1), P_true-{F}(V2), P_err-{F}(V3), P_phi-{F}(V4,V5), P_prop-{F}(V4,V6), V6 == V2 | P_or1-{T}(V0,V4,V5)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #425: mergings( V3 == V6, V4 == V7, V5 == V8; #413 ), references = 1, size of lhs = 7:
% 27.05/27.23     bool-{F}(V0), P_false-{F}(V1), P_true-{F}(V2), P_err-{F}(V3), P_phi-{F}(V4,V5), P_impl-{F}(V1,V4,V6), V6 == V2 | P_or1-{T}(V0,V4,V5)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #427: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #429: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #432: exists( #103, #52 ), references = 2, size of lhs = 4:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_phi-{F}(V3,V4) | P_lazy_impl-{T}(V1,V3,V4)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #433: exists( #103, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f6-{F}(V5,V3,V6), P_f5-{F}(V5,V3,V7), P_impl-{F}(V7,V3,V8) | P_lazy_impl-{T}(V4,V8,V6)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #436: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #438: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #440: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #442: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #444: exists( #102, #49 ), references = 1, size of lhs = 4:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), bool-{F}(V3) | P_impl-{T}(V1,V3,V3)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #447: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #449: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #451: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #453: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #455: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #457: exists( #104, #56 ), references = 1, size of lhs = 4:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), bool-{F}(V3) | P_and1-{T}(V1,V3,V3)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #461: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #463: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #465: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #467: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #469: exists( #107, #63 ), references = 1, size of lhs = 4:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_phi-{F}(V3,V4) | P_lazy_and1-{T}(V1,V3,V4)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #471: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #473: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #475: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #477: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #479: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #481: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #483: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #485: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #487: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #489: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #491: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #493: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #495: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #497: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #499: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #501: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #503: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #505: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #507: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #509: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #511: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #513: disj( #30, input ), references = 1, size of lhs = 7:
% 27.05/27.23     d-{F}(V0), P_false-{F}(V1), P_true-{F}(V2), P_err-{F}(V3), P_phi-{F}(V4,V5), V5 == V4, pppp6-{F}(V4,V0,V6,V7) | pppp2-{T}(V4,V0)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #515: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #517: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #519: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #521: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #523: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #525: exists( #110, #70 ), references = 1, size of lhs = 4:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), bool-{F}(V3) | P_or1-{T}(V1,V3,V1)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #527: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #529: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #531: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #533: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #535: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #537: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #539: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #541: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #543: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #545: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #547: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #549: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #551: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #553: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #555: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #557: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #559: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #561: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #563: disj( #16, input ), references = 1, size of lhs = 7:
% 27.05/27.23     d-{F}(V0), P_false-{F}(V1), P_true-{F}(V2), P_err-{F}(V3), P_phi-{F}(V4,V5), V5 == V4, pppp4-{F}(V4,V0,V6,V7) | pppp1-{T}(V4,V0)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #565: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #567: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #569: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #571: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #573: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #575: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #577: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #579: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #581: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #583: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #585: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #587: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #589: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #591: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #593: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #595: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #597: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #599: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #601: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #603: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #605: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #607: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #611: disj( #15, input ), references = 1, size of lhs = 8:
% 27.05/27.23     d-{F}(V0), d-{F}(V1), bool-{F}(V1), P_false-{F}(V2), P_prop-{F}(V0,V2), P_true-{F}(V3), P_err-{F}(V4), pppp4-{F}(V0,V1,V5,V6) | pppp1-{T}(V0,V1)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #612: disj( #15, input ), references = 1, size of lhs = 9:
% 27.05/27.23     d-{F}(V0), d-{F}(V1), bool-{F}(V1), P_false-{F}(V2), P_true-{F}(V3), P_err-{F}(V4), P_prop-{F}(V0,V5), V5 == V3, pppp4-{F}(V0,V1,V6,V7) | pppp1-{T}(V0,V1)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #613: disj( #15, input ), references = 1, size of lhs = 9:
% 27.05/27.23     d-{F}(V0), d-{F}(V1), bool-{F}(V1), P_false-{F}(V2), P_true-{F}(V3), P_err-{F}(V4), P_impl-{F}(V2,V0,V5), V5 == V3, pppp4-{F}(V0,V1,V6,V7) | pppp1-{T}(V0,V1)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #616: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #618: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #620: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #622: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #624: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #626: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #628: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #630: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #632: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #634: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #636: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #638: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #640: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #642: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #644: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #646: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #648: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #650: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #652: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #654: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #672: mergings( V0 == V9, V9 == V11, V1 == V6, V6 == V10, V10 == V12, V2 == V7, V7 == V8, V8 == V13, V3 == V14; #661 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false2-{F}(V0), P_false-{F}(V1), P_true-{F}(V2), P_err-{F}(V3), P_false1-{F}(V4), P_phi-{F}(V2,V5), V0 == V5 | pppp13-{T}(V1,V0), pppp13-{T}(V2,V0)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #682: mergings( V0 == V9, V9 == V11, V1 == V6, V6 == V10, V10 == V12, V2 == V7, V7 == V8, V8 == V13, V3 == V14; #662 ), references = 1, size of lhs = 8:
% 27.05/27.23     P_false2-{F}(V0), P_false-{F}(V1), P_true-{F}(V2), P_err-{F}(V3), P_false1-{F}(V4), P_phi-{F}(V2,V5), forallprefers-{F}(V6,V2), P_f7-{F}(V7,V6) | pppp13-{T}(V1,V0), pppp13-{T}(V2,V0)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #693: mergings( V0 == V8, V8 == V10, V1 == V5, V5 == V9, V9 == V11, V2 == V6, V6 == V7, V7 == V12, V3 == V13; #683 ), references = 2, size of lhs = 10:
% 27.05/27.23     P_false2-{F}(V0), P_false-{F}(V1), P_true-{F}(V2), P_err-{F}(V3), P_false1-{F}(V4), P_phi-{F}(V2,V5), V0 == V5, P_f7-{F}(V1,V6), P_phi-{F}(V6,V7), V0 == V7 | pppp13-{T}(V2,V0)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #707: mergings( V1 == V8, V8 == V10, V2 == V5, V5 == V9, V9 == V11, V3 == V6, V6 == V7, V7 == V12, V4 == V13; #697 ), references = 1, size of lhs = 11:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_false1-{F}(V3), P_phi-{F}(V1,V4), P_f7-{F}(V0,V5), P_phi-{F}(V5,V6), P_f7-{F}(V1,V7), P_phi-{F}(V7,V8), forallprefers-{F}(V9,V7), P_f7-{F}(V10,V9) | P_false2-{T}(V4), P_false2-{T}(V6)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #709: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #711: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #713: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #715: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #717: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #719: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #721: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #723: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #725: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #727: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #729: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #731: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #733: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #735: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #737: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #739: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #741: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #743: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #745: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #749: disj( #29, input ), references = 1, size of lhs = 5:
% 27.05/27.23     d-{F}(V0), d-{F}(V1), bool-{F}(V1), pppp3-{F}(V0,V2), pppp6-{F}(V0,V1,V3,V4) | pppp2-{T}(V0,V1)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #750: disj( #29, input ), references = 1, size of lhs = 8:
% 27.05/27.23     d-{F}(V0), d-{F}(V1), bool-{F}(V1), P_false-{F}(V2), P_prop-{F}(V0,V2), P_true-{F}(V3), P_err-{F}(V4), pppp6-{F}(V0,V1,V5,V6) | pppp2-{T}(V0,V1)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #751: disj( #29, input ), references = 1, size of lhs = 9:
% 27.05/27.23     d-{F}(V0), d-{F}(V1), bool-{F}(V1), P_false-{F}(V2), P_true-{F}(V3), P_err-{F}(V4), P_prop-{F}(V0,V5), V5 == V3, pppp6-{F}(V0,V1,V6,V7) | pppp2-{T}(V0,V1)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #756: exists( #121, #753 ), references = 1, size of lhs = 11:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_false1-{F}(V3), P_phi-{F}(V1,V4), P_f7-{F}(V0,V5), P_phi-{F}(V5,V6), P_f7-{F}(V1,V7), P_phi-{F}(V7,V8), forallprefers-{F}(V9,V7), P_f7-{F}(V10,V9) | P_false2-{T}(V4), P_false2-{T}(V6)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #758: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #760: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #762: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #764: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #766: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #768: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #770: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #772: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #774: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #776: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #778: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #780: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #782: exists( #117, #83 ), references = 1, size of lhs = 7:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_prop-{F}(V3,V4), P_f5-{F}(V5,V3,V6), P_impl-{F}(V6,V3,V7), P_lazy_impl-{F}(V4,V7,V8) | P_f6-{T}(V5,V3,V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #796: mergings( V0 == V9, V9 == V11, V1 == V6, V6 == V10, V10 == V12, V2 == V7, V7 == V8, V8 == V13, V3 == V14; #786 ), references = 1, size of lhs = 8:
% 27.05/27.23     P_false2-{F}(V0), P_false-{F}(V1), P_true-{F}(V2), P_err-{F}(V3), P_false1-{F}(V4), P_phi-{F}(V2,V5), forallprefers-{F}(V6,V2), P_f7-{F}(V7,V6) | pppp13-{T}(V1,V0), pppp13-{T}(V2,V0)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #807: mergings( V0 == V8, V8 == V10, V1 == V5, V5 == V9, V9 == V11, V2 == V6, V6 == V7, V7 == V12, V3 == V13; #797 ), references = 1, size of lhs = 12:
% 27.05/27.23     P_false2-{F}(V0), P_false-{F}(V1), P_true-{F}(V2), P_err-{F}(V3), P_false1-{F}(V4), P_phi-{F}(V2,V5), P_f7-{F}(V2,V6), P_phi-{F}(V6,V7), forallprefers-{F}(V8,V2), P_f7-{F}(V9,V8), forallprefers-{F}(V10,V6), P_f7-{F}(V11,V10) | pppp13-{T}(V1,V0)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #828: mergings( V0 == V11, V11 == V18, V18 == V20, V1 == V12, V12 == V15, V15 == V19, V19 == V21, V2 == V13, V13 == V16, V16 == V17, V17 == V22, V4 == V24, V3 == V14, V14 == V23, V5 == V27, V6 == V28, V7 == V25, V8 == V26; #809 ), references = 1, size of lhs = 16:
% 27.05/27.23     P_false-{F}(V0), P_true-{F}(V1), P_err-{F}(V2), P_false1-{F}(V3), P_phi-{F}(V1,V4), P_f7-{F}(V1,V5), P_phi-{F}(V5,V6), P_f7-{F}(V0,V7), P_phi-{F}(V7,V8), V4 == V8, forallprefers-{F}(V9,V5), P_f7-{F}(V10,V9), forallprefers-{F}(V11,V1), P_f7-{F}(V12,V11), forallprefers-{F}(V13,V5), P_f7-{F}(V14,V13) | P_false2-{T}(V8)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #872: mergings( V1 == V3, V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V27, V2 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V26, V26 == V28; #845 ), references = 1, size of lhs = 5:
% 27.05/27.23     bool-{F}(V0), P_false-{F}(V0), bool-{F}(V1), V1 == V0, P_true-{F}(V1) | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #892: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15; #877 ), references = 1, size of lhs = 1:
% 27.05/27.23     P_false-{F}(V0) | P_true-{T}(V0)
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  #895: exists( #97, #893 ), references = 1, size of lhs = 0:
% 27.05/27.23     FALSE | FALSE
% 27.05/27.23        (used 0 times, uses = {})
% 27.05/27.23  
% 27.05/27.23  number of learnt formulas = 213
% 27.05/27.23  
% 27.05/27.23  
% 27.05/27.23  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.05/27.23  
% 27.05/27.23  randbase = 1
%------------------------------------------------------------------------------