TSTP Solution File: SWV490+3 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SWV490+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n007.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 06:21:46 EDT 2022

% Result   : Theorem 27.36s 27.58s
% Output   : Refutation 27.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV490+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri Jul 22 16:07:12 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 27.36/27.58  GeoParameters:
% 27.36/27.58  
% 27.36/27.58  tptp_input =     1
% 27.36/27.58  tptp_output =    0
% 27.36/27.58  nonempty =       1
% 27.36/27.58  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.36/27.58  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 27.36/27.58  
% 27.36/27.58  
% 27.36/27.58  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.36/27.58  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.36/27.58  
% 27.36/27.58  RuleSystem INPUT:
% 27.36/27.58  
% 27.36/27.58  Initial Rules:
% 27.36/27.58  #0: input, references = 44, size of lhs = 1:
% 27.36/27.58     int_leq-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1: input, references = 16, size of lhs = 1:
% 27.36/27.58     pppp0-{F}(V0,V1) | int_leq-{T}(V0,V1)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #2: input, references = 44, size of lhs = 2:
% 27.36/27.58     pppp0-{F}(V0,V1), V0 == V1 | int_less-{T}(V0,V1)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #3: input, references = 8, size of lhs = 1:
% 27.36/27.58     int_less-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #4: input, references = 11, size of lhs = 1:
% 27.36/27.58     #-{F} V1 | pppp0-{T}(V1,V1)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #5: input, references = 29, size of lhs = 2:
% 27.36/27.58     int_less-{F}(V0,V1), int_less-{F}(V2,V0) | int_less-{T}(V2,V1)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #6: input, references = 12, size of lhs = 1:
% 27.36/27.58     int_less-{F}(V1,V1) | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #7: input, references = 11, size of lhs = 2:
% 27.36/27.58     #-{F} V0, #-{F} V1 | int_less-{T}(V0,V1), int_leq-{T}(V1,V0)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #8: input, references = 4, size of lhs = 2:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1) | int_less-{T}(V0,V1)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #9: input, references = 6, size of lhs = 5:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_plus-{F}(V2,V3,V4), P_plus-{F}(V3,V2,V5), V4 == V5 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #10: input, references = 4, size of lhs = 4:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_plus-{F}(V2,V0,V3), V3 == V2 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #11: input, references = 8, size of lhs = 6:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), int_leq-{F}(V2,V3), P_plus-{F}(V5,V2,V6), P_plus-{F}(V4,V3,V7), int_less-{F}(V5,V4) | int_leq-{T}(V6,V7)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #12: input, references = 12, size of lhs = 3:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), int_less-{F}(V2,V3) | pppp1-{T}(V2,V3)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #13: input, references = 7, size of lhs = 3:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), pppp1-{F}(V2,V3) | int_less-{T}(V2,V3)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #14: input, references = 11, size of lhs = 3:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), pppp1-{F}(V2,V3) | EXISTS V4: pppp2-{T}(V2,V3,V4,V0)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #15: input, references = 7, size of lhs = 4:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_plus-{F}(V2,V4,V3), int_less-{F}(V0,V4) | pppp1-{T}(V2,V3)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #16: input, references = 11, size of lhs = 2:
% 27.36/27.58     pppp2-{F}(V0,V1,V2,V3), P_plus-{F}(V0,V2,V4) | int_less-{T}(V3,V2)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #17: input, references = 13, size of lhs = 3:
% 27.36/27.58     pppp2-{F}(V0,V1,V2,V3), P_plus-{F}(V0,V2,V4), V4 == V1 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #18: input, references = 16, size of lhs = 3:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), int_less-{F}(V0,V2) | int_leq-{T}(V1,V2)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #19: input, references = 17, size of lhs = 3:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), int_leq-{F}(V1,V2) | int_less-{T}(V0,V2)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #20: input, references = 4, size of lhs = 4:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V3), P_real_one-{F}(V3) | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #21: input, references = 15, size of lhs = 16:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V8), int_leq-{F}(V8,V4), P_plus-{F}(V5,V7,V8), int_less-{F}(V0,V7), P_plus-{F}(V9,V7,V10), P_a-{F}(V10,V9,V11), int_leq-{F}(V1,V9), int_leq-{F}(V9,V5), V11 == V2 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #22: input, references = 8, size of lhs = 13:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), P_a-{F}(V7,V7,V8), int_leq-{F}(V1,V7), int_leq-{F}(V7,V5), V8 == V3 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #23: input, references = 15, size of lhs = 16:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V8), int_leq-{F}(V8,V4), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), P_plus-{F}(V6,V7,V8), int_less-{F}(V0,V7), P_plus-{F}(V9,V7,V10), P_a-{F}(V9,V10,V11), int_leq-{F}(V1,V9), int_leq-{F}(V9,V6), V11 == V2 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #24: input, references = 8, size of lhs = 5:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4) | EXISTS V5: pppp5-{T}(V5,V1,V2,V4)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #25: input, references = 7, size of lhs = 1:
% 27.36/27.58     pppp5-{F}(V0,V1,V2,V3) | EXISTS V4: pppp4-{T}(V0,V1,V2,V3,V4)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #26: input, references = 18, size of lhs = 1:
% 27.36/27.58     pppp5-{F}(V0,V1,V2,V3) | int_leq-{T}(V0,V3)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #27: input, references = 17, size of lhs = 1:
% 27.36/27.58     pppp5-{F}(V0,V1,V2,V3) | int_leq-{T}(V1,V0)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #28: input, references = 19, size of lhs = 2:
% 27.36/27.58     pppp4-{F}(V0,V1,V2,V3,V4), P_a-{F}(V4,V0,V5) | pppp3-{T}(V4,V0,V1,V2,V3,V5)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #29: input, references = 6, size of lhs = 2:
% 27.36/27.58     pppp3-{F}(V0,V1,V2,V3,V4,V3), V0 == V1 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #30: input, references = 6, size of lhs = 2:
% 27.36/27.58     pppp3-{F}(V1,V1,V2,V3,V4,V5), V5 == V3 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #31: input, references = 5, size of lhs = 1:
% 27.36/27.58     pppp3-{F}(V0,V1,V2,V3,V4,V5) | int_leq-{T}(V0,V4)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #32: input, references = 11, size of lhs = 1:
% 27.36/27.58     pppp3-{F}(V0,V1,V2,V3,V4,V5) | int_leq-{T}(V2,V0)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #33: input, references = 4, size of lhs = 0:
% 27.36/27.58     FALSE | EXISTS V0: P_int_zero-{T}(V0)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #34: input, references = 4, size of lhs = 0:
% 27.36/27.58     FALSE | EXISTS V0: P_int_one-{T}(V0)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #35: input, references = 7, size of lhs = 2:
% 27.36/27.58     #-{F} V0, #-{F} V1 | EXISTS V2: P_plus-{T}(V0,V1,V2)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #36: input, references = 4, size of lhs = 0:
% 27.36/27.58     FALSE | EXISTS V0: P_real_zero-{T}(V0)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #37: input, references = 4, size of lhs = 0:
% 27.36/27.58     FALSE | EXISTS V0: P_real_one-{T}(V0)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #38: input, references = 4, size of lhs = 0:
% 27.36/27.58     FALSE | EXISTS V0: P_n-{T}(V0)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #39: input, references = 18, size of lhs = 2:
% 27.36/27.58     #-{F} V0, #-{F} V1 | EXISTS V2: P_a-{T}(V0,V1,V2)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  number of initial rules = 40
% 27.36/27.58  
% 27.36/27.58  Simplifiers:
% 27.36/27.58  #40: unsound, references = 3, size of lhs = 3:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_zero-{F}(V1), V0 == V1 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #41: unsound, references = 3, size of lhs = 3:
% 27.36/27.58     P_int_one-{F}(V0), P_int_one-{F}(V1), V0 == V1 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #42: unsound, references = 3, size of lhs = 3:
% 27.36/27.58     P_plus-{F}(V0,V1,V2), P_plus-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #43: unsound, references = 3, size of lhs = 3:
% 27.36/27.58     P_real_zero-{F}(V0), P_real_zero-{F}(V1), V0 == V1 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #44: unsound, references = 3, size of lhs = 3:
% 27.36/27.58     P_real_one-{F}(V0), P_real_one-{F}(V1), V0 == V1 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #45: unsound, references = 3, size of lhs = 3:
% 27.36/27.58     P_n-{F}(V0), P_n-{F}(V1), V0 == V1 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #46: unsound, references = 3, size of lhs = 3:
% 27.36/27.58     P_a-{F}(V0,V1,V2), P_a-{F}(V0,V1,V5), V2 == V5 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #47: unsound, references = 3, size of lhs = 3:
% 27.36/27.58     pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #48: unsound, references = 3, size of lhs = 3:
% 27.36/27.58     pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #49: unsound, references = 3, size of lhs = 3:
% 27.36/27.58     pppp3-{F}(V0,V1,V2,V3,V4,V5), pppp3-{F}(V6,V1,V2,V3,V4,V11), V0 == V6 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #50: unsound, references = 3, size of lhs = 3:
% 27.36/27.58     pppp3-{F}(V0,V1,V2,V3,V4,V5), pppp3-{F}(V6,V7,V2,V3,V4,V11), V1 == V7 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #51: unsound, references = 3, size of lhs = 3:
% 27.36/27.58     pppp3-{F}(V0,V1,V2,V3,V4,V5), pppp3-{F}(V6,V7,V8,V9,V10,V11), V2 == V8 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #52: unsound, references = 3, size of lhs = 3:
% 27.36/27.58     pppp3-{F}(V0,V1,V2,V3,V4,V5), pppp3-{F}(V6,V7,V8,V9,V10,V11), V3 == V9 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #53: unsound, references = 3, size of lhs = 3:
% 27.36/27.58     pppp3-{F}(V0,V1,V2,V3,V4,V5), pppp3-{F}(V6,V7,V8,V9,V10,V11), V4 == V10 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #54: unsound, references = 3, size of lhs = 3:
% 27.36/27.58     pppp3-{F}(V0,V1,V2,V3,V4,V5), pppp3-{F}(V0,V1,V8,V9,V10,V11), V5 == V11 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #55: unsound, references = 3, size of lhs = 3:
% 27.36/27.58     pppp4-{F}(V0,V1,V2,V3,V4), pppp4-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #56: unsound, references = 3, size of lhs = 3:
% 27.36/27.58     pppp4-{F}(V0,V1,V2,V3,V4), pppp4-{F}(V5,V1,V2,V3,V9), V0 == V5 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #57: unsound, references = 3, size of lhs = 3:
% 27.36/27.58     pppp4-{F}(V0,V1,V2,V3,V4), pppp4-{F}(V5,V6,V7,V8,V9), V1 == V6 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #58: unsound, references = 3, size of lhs = 3:
% 27.36/27.58     pppp4-{F}(V0,V1,V2,V3,V4), pppp4-{F}(V5,V6,V7,V8,V9), V2 == V7 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #59: unsound, references = 3, size of lhs = 3:
% 27.36/27.58     pppp4-{F}(V0,V1,V2,V3,V4), pppp4-{F}(V5,V6,V7,V8,V9), V3 == V8 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #60: unsound, references = 3, size of lhs = 3:
% 27.36/27.58     pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #61: unsound, references = 3, size of lhs = 3:
% 27.36/27.58     pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #62: unsound, references = 3, size of lhs = 3:
% 27.36/27.58     pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #63: unsound, references = 3, size of lhs = 3:
% 27.36/27.58     pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  number of simplifiers = 24
% 27.36/27.58  
% 27.36/27.58  Learnt:
% 27.36/27.58  #66: exists( #35, #10 ), references = 7, size of lhs = 3:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), #-{F} V2 | P_plus-{T}(V2,V0,V2)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #81: exists( #35, #9 ), references = 10, size of lhs = 3:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_plus-{F}(V2,V3,V4) | P_plus-{T}(V3,V2,V4)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #144: mergings( V0 == V6, V2 == V7, V3 == V8, V4 == V9; #137 ), references = 1, size of lhs = 8:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V4,V4), P_a-{F}(V4,V4,V5), V5 == V3 | pppp5-{T}(V1,V1,V2,V4), pppp5-{T}(V4,V1,V2,V4)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #150: mergings( V0 == V6, V4 == V10, V2 == V7, V3 == V8, V10 == V9; #138 ), references = 1, size of lhs = 10:
% 27.36/27.58     P_int_zero-{F}(V0), int_less-{F}(V0,V1), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V4,V4), P_plus-{F}(V4,V4,V4), P_a-{F}(V4,V4,V5), V5 == V2 | pppp5-{T}(V1,V1,V2,V4), pppp5-{T}(V4,V1,V2,V4)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #156: mergings( V0 == V6, V4 == V10, V2 == V7, V3 == V8, V10 == V9; #139 ), references = 1, size of lhs = 10:
% 27.36/27.58     P_int_zero-{F}(V0), int_less-{F}(V0,V1), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V4,V4), P_plus-{F}(V4,V4,V4), P_a-{F}(V4,V4,V5), V5 == V2 | pppp5-{T}(V1,V1,V2,V4), pppp5-{T}(V4,V1,V2,V4)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #168: mergings( V0 == V4, V4 == V10, V1 == V6, V6 == V11, V2 == V7, V7 == V12, V3 == V8, V8 == V13, V9 == V14; #158 ), references = 1, size of lhs = 8:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V4,V4), P_a-{F}(V4,V4,V5), V5 == V3 | pppp5-{T}(V4,V1,V2,V4)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #184: mergings( V2 == V5, V5 == V9, V9 == V13, V3 == V6, V6 == V10, V10 == V15, V4 == V7, V7 == V11, V11 == V16, V0 == V8, V8 == V12, V12 == V17; #171 ), references = 4, size of lhs = 6:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V4,V4) | P_a-{T}(V4,V4,V3)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #194: mergings( V0 == V6; #191 ), references = 1, size of lhs = 11:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V5,V5), V0 == V5, int_leq-{F}(V5,V4), P_plus-{F}(V5,V5,V5), P_a-{F}(V5,V5,V6), V6 == V2 | int_less-{T}(V5,V0)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #196: mergings( V0 == V6; #192 ), references = 1, size of lhs = 11:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V5,V5), V0 == V5, int_leq-{F}(V5,V4), P_plus-{F}(V5,V5,V5), P_a-{F}(V5,V5,V6), V6 == V2 | int_less-{T}(V5,V0)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #250: mergings( V0 == V6, V4 == V10, V2 == V7, V3 == V8, V10 == V9; #243 ), references = 1, size of lhs = 10:
% 27.36/27.58     P_int_zero-{F}(V0), int_less-{F}(V0,V1), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V4,V4), P_plus-{F}(V4,V4,V4), P_a-{F}(V4,V4,V5), V5 == V2 | pppp5-{T}(V1,V1,V2,V4), pppp5-{T}(V4,V1,V2,V4)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #256: mergings( V0 == V6, V4 == V10, V2 == V7, V3 == V8, V10 == V9; #244 ), references = 1, size of lhs = 10:
% 27.36/27.58     P_int_zero-{F}(V0), int_less-{F}(V0,V1), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V4,V4), P_plus-{F}(V4,V4,V4), P_a-{F}(V4,V4,V5), V5 == V2 | pppp5-{T}(V1,V1,V2,V4), pppp5-{T}(V4,V1,V2,V4)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #274: mergings( V0 == V4, V4 == V11, V3 == V9, V9 == V15, V1 == V6, V6 == V12, V2 == V7, V7 == V13, V15 == V8, V8 == V14, V10 == V16; #261 ), references = 1, size of lhs = 10:
% 27.36/27.58     P_int_one-{F}(V0), P_int_zero-{F}(V1), int_less-{F}(V1,V0), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V4,V4), P_plus-{F}(V4,V4,V4), P_a-{F}(V4,V4,V5), V5 == V2 | pppp5-{T}(V4,V0,V2,V4)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #286: mergings( V0 == V4, V4 == V11, V3 == V9, V9 == V15, V1 == V6, V6 == V12, V2 == V7, V7 == V13, V15 == V8, V8 == V14, V10 == V16; #262 ), references = 1, size of lhs = 10:
% 27.36/27.58     P_int_one-{F}(V0), P_int_zero-{F}(V1), int_less-{F}(V1,V0), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V4,V4), P_plus-{F}(V4,V4,V4), P_a-{F}(V4,V4,V5), V5 == V2 | pppp5-{T}(V4,V0,V2,V4)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #305: mergings( V1 == V4, V2 == V3, V3 == V5; #301 ), references = 1, size of lhs = 5:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_plus-{F}(V2,V2,V1), V0 == V2, V1 == V2 | int_less-{T}(V2,V0)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #328: exists( #39, #21 ), references = 1, size of lhs = 14:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), int_less-{F}(V0,V7), P_plus-{F}(V5,V7,V6), int_leq-{F}(V1,V8), int_leq-{F}(V8,V5), P_plus-{F}(V8,V7,V9) | P_a-{T}(V9,V8,V2)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #336: mergings( V0 == V2, V2 == V6, V1 == V5, V5 == V7; #331 ), references = 1, size of lhs = 3:
% 27.36/27.58     P_int_zero-{F}(V0), pppp1-{F}(V0,V1), P_int_one-{F}(V2) | pppp2-{T}(V0,V1,V1,V0)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #345: mergings( V1 == V3, V2 == V4; #342 ), references = 1, size of lhs = 4:
% 27.36/27.58     P_int_zero-{F}(V0), P_plus-{F}(V1,V1,V0), V0 == V1, P_int_one-{F}(V2) | int_less-{T}(V1,V0)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #384: exists( #39, #23 ), references = 2, size of lhs = 14:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), int_less-{F}(V0,V7), P_plus-{F}(V6,V7,V5), int_leq-{F}(V1,V8), int_leq-{F}(V8,V6), P_plus-{F}(V8,V7,V9) | P_a-{T}(V8,V9,V2)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #420: exists( #35, #17 ), references = 11, size of lhs = 1:
% 27.36/27.58     pppp2-{F}(V0,V1,V2,V3) | P_plus-{T}(V0,V2,V1)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #522: mergings( V0 == V6, V6 == V8, V8 == V10, V1 == V5, V5 == V7, V7 == V9, V9 == V11; #512 ), references = 1, size of lhs = 18:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), int_less-{F}(V0,V7), P_plus-{F}(V6,V7,V5), int_leq-{F}(V1,V8), P_plus-{F}(V8,V7,V9), P_a-{F}(V8,V9,V10), V10 == V2, P_plus-{F}(V1,V11,V8), int_leq-{F}(V11,V12), pppp1-{F}(V12,V6) | pppp2-{T}(V12,V6,V1,V0)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #532: mergings( V4 == V6, V6 == V8, V8 == V10, V3 == V5, V5 == V7, V7 == V9, V9 == V11; #524 ), references = 1, size of lhs = 18:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), int_less-{F}(V0,V7), P_plus-{F}(V6,V7,V5), int_leq-{F}(V1,V8), P_plus-{F}(V8,V7,V9), P_plus-{F}(V1,V10,V8), int_leq-{F}(V10,V11), pppp1-{F}(V11,V6), P_plus-{F}(V11,V1,V12), V12 == V6 | P_a-{T}(V8,V9,V2)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #558: exists( #39, #553 ), references = 1, size of lhs = 13:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), int_leq-{F}(V1,V7), int_leq-{F}(V7,V5), P_a-{F}(V7,V7,V8), V8 == V3, pppp4-{F}(V9,V10,V11,V4,V5) | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #624: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #619 ), references = 8, size of lhs = 8:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), int_leq-{F}(V2,V3), int_leq-{F}(V3,V4), P_plus-{F}(V5,V2,V6), int_less-{F}(V5,V7), int_less-{F}(V7,V8), P_plus-{F}(V8,V4,V6) | P_plus-{T}(V3,V7,V6)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #678: mergings( V0 == V6, V6 == V8, V8 == V10, V1 == V5, V5 == V7, V7 == V9, V9 == V11; #670 ), references = 1, size of lhs = 18:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), int_less-{F}(V0,V7), P_plus-{F}(V5,V7,V6), int_leq-{F}(V1,V8), P_plus-{F}(V8,V7,V9), P_a-{F}(V9,V8,V10), V10 == V2, P_plus-{F}(V1,V11,V8), int_leq-{F}(V11,V12), pppp1-{F}(V12,V5) | pppp2-{T}(V12,V5,V1,V0)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #688: mergings( V4 == V6, V6 == V8, V8 == V10, V3 == V5, V5 == V7, V7 == V9, V9 == V11; #680 ), references = 1, size of lhs = 18:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), int_less-{F}(V0,V7), P_plus-{F}(V5,V7,V6), int_leq-{F}(V1,V8), P_plus-{F}(V8,V7,V9), P_plus-{F}(V1,V10,V8), int_leq-{F}(V10,V11), pppp1-{F}(V11,V5), P_plus-{F}(V11,V1,V12), V12 == V5 | P_a-{T}(V9,V8,V2)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #802: mergings( V0 == V6, V6 == V8, V8 == V10, V10 == V12, V1 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #791 ), references = 4, size of lhs = 9:
% 27.36/27.58     P_int_zero-{F}(V0), int_less-{F}(V0,V1), pppp1-{F}(V1,V2), P_int_one-{F}(V3), int_leq-{F}(V4,V1), int_leq-{F}(V1,V5), P_plus-{F}(V3,V4,V6), V6 == V2, P_plus-{F}(V2,V5,V6) | pppp2-{T}(V1,V2,V3,V0)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #814: mergings( V0 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V1 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15; #792 ), references = 1, size of lhs = 9:
% 27.36/27.58     P_int_zero-{F}(V0), int_less-{F}(V0,V1), pppp1-{F}(V1,V2), P_int_one-{F}(V3), int_leq-{F}(V4,V1), int_leq-{F}(V1,V5), P_plus-{F}(V3,V4,V6), V2 == V6, P_plus-{F}(V2,V5,V6) | pppp2-{T}(V1,V2,V3,V0)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #840: mergings( V0 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V1 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20; #823 ), references = 1, size of lhs = 8:
% 27.36/27.58     P_int_zero-{F}(V0), int_less-{F}(V0,V1), P_int_one-{F}(V1), int_leq-{F}(V2,V1), int_leq-{F}(V1,V3), pppp1-{F}(V3,V4), P_plus-{F}(V1,V2,V4), P_plus-{F}(V1,V1,V5) | pppp2-{T}(V3,V4,V1,V0), pppp2-{T}(V3,V4,V4,V0), pppp2-{T}(V3,V4,V5,V0)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #858: mergings( V1 == V3, V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V0 == V2, V2 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17; #841 ), references = 3, size of lhs = 12:
% 27.36/27.58     P_int_zero-{F}(V0), int_less-{F}(V0,V1), P_int_one-{F}(V1), int_leq-{F}(V2,V1), int_leq-{F}(V1,V3), pppp1-{F}(V3,V4), P_plus-{F}(V1,V2,V4), P_plus-{F}(V1,V1,V5), P_plus-{F}(V3,V4,V6), V6 == V4, P_plus-{F}(V3,V5,V7), V7 == V4 | pppp2-{T}(V3,V4,V1,V0)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #872: exists( #39, #22 ), references = 5, size of lhs = 11:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), int_leq-{F}(V1,V7), int_leq-{F}(V7,V5) | P_a-{T}(V7,V7,V3)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #914: mergings( V1 == V5; #911 ), references = 3, size of lhs = 13:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), pppp1-{F}(V6,V5), int_leq-{F}(V6,V4), int_leq-{F}(V6,V6), P_a-{F}(V5,V6,V7), V7 == V2 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #917: mergings( V3 == V5; #915 ), references = 1, size of lhs = 11:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), pppp1-{F}(V6,V5), int_leq-{F}(V6,V4), int_leq-{F}(V6,V6) | P_a-{T}(V5,V6,V2)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #982: mergings( V2 == V4, V3 == V5; #978 ), references = 1, size of lhs = 10:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), int_less-{F}(V2,V3), int_leq-{F}(V4,V5), int_leq-{F}(V5,V6), P_plus-{F}(V3,V6,V7), P_plus-{F}(V8,V4,V7), V8 == V2, P_plus-{F}(V2,V5,V9), V9 == V7 | int_less-{T}(V2,V8)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #983: disj( #7, #0+#2+#624+#17 ), references = 1, size of lhs = 10:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), int_less-{F}(V2,V3), int_leq-{F}(V4,V5), int_leq-{F}(V5,V6), P_plus-{F}(V3,V6,V7), P_plus-{F}(V8,V4,V7), V8 == V2, pppp2-{F}(V5,V9,V2,V10), V7 == V9 | int_less-{T}(V2,V8)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1002: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V9; #996 ), references = 1, size of lhs = 15:
% 27.36/27.58     P_int_zero-{F}(V0), int_less-{F}(V0,V1), int_leq-{F}(V1,V1), P_int_one-{F}(V2), int_leq-{F}(V3,V1), int_less-{F}(V4,V1), P_plus-{F}(V2,V3,V5), P_plus-{F}(V4,V6,V5), int_leq-{F}(V6,V7), V1 == V7, V5 == V7, int_leq-{F}(V7,V8), P_plus-{F}(V7,V8,V5), P_plus-{F}(V1,V2,V9), V9 == V7 | int_less-{T}(V7,V1)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1053: exists( #39, #1051 ), references = 2, size of lhs = 11:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V1,V6), pppp1-{F}(V6,V5), int_leq-{F}(V6,V4), int_leq-{F}(V6,V6), pppp4-{F}(V6,V7,V8,V4,V5) | P_a-{T}(V5,V6,V2)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1071: mergings( V2 == V4, V3 == V5, V9 == V11, V10 == V6, V8 == V12; #1065 ), references = 5, size of lhs = 11:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V1,V6), V5 == V6, int_leq-{F}(V6,V4), int_leq-{F}(V6,V6), pppp4-{F}(V6,V7,V2,V4,V5) | int_leq-{T}(V5,V6)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1135: exists( #39, #1129 ), references = 1, size of lhs = 15:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), int_leq-{F}(V1,V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_less-{F}(V0,V6), P_plus-{F}(V1,V6,V7), P_a-{F}(V1,V7,V8), V8 == V2, int_leq-{F}(V9,V4), P_plus-{F}(V9,V6,V5), pppp4-{F}(V10,V1,V11,V12,V9) | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1136: exists( #39, #1130 ), references = 1, size of lhs = 15:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), int_leq-{F}(V1,V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_less-{F}(V0,V6), P_plus-{F}(V1,V6,V7), P_a-{F}(V7,V1,V8), V8 == V2, int_leq-{F}(V9,V4), P_plus-{F}(V9,V6,V5), pppp4-{F}(V10,V1,V11,V12,V9) | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1169: exists( #39, #1165 ), references = 1, size of lhs = 13:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V6,V6), pppp1-{F}(V6,V5), int_leq-{F}(V6,V4), P_a-{F}(V5,V6,V7), V7 == V2, pppp4-{F}(V8,V1,V9,V10,V6) | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1171: exists( #39, #1167 ), references = 1, size of lhs = 11:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V6,V6), pppp1-{F}(V6,V5), int_leq-{F}(V6,V4), pppp4-{F}(V7,V1,V8,V9,V6) | P_a-{T}(V5,V6,V2)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1214: mergings( V3 == V7, V4 == V9, V5 == V10, V6 == V11; #1208 ), references = 2, size of lhs = 10:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), V3 == V2, P_n-{F}(V4), int_leq-{F}(V5,V5), int_leq-{F}(V5,V4), P_plus-{F}(V5,V5,V5), pppp4-{F}(V6,V1,V7,V8,V5) | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1219: mergings( V3 == V7, V4 == V9, V5 == V10, V6 == V11; #1209 ), references = 2, size of lhs = 10:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), V3 == V2, P_n-{F}(V4), int_leq-{F}(V5,V5), int_leq-{F}(V5,V4), P_plus-{F}(V5,V5,V5), pppp4-{F}(V6,V1,V7,V8,V5) | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1251: exists( #39, #1245 ), references = 1, size of lhs = 4:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), int_less-{F}(V2,V0), pppp4-{F}(V3,V1,V4,V5,V2) | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1253: mergings( V3 == V5; #1249 ), references = 1, size of lhs = 17:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), int_leq-{F}(V1,V7), int_leq-{F}(V7,V5), P_plus-{F}(V5,V8,V6), P_plus-{F}(V7,V8,V9), P_a-{F}(V9,V7,V10), V10 == V2, int_less-{F}(V11,V8), pppp4-{F}(V12,V1,V13,V14,V11) | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1255: mergings( V3 == V5; #1250 ), references = 1, size of lhs = 17:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), int_leq-{F}(V1,V7), int_leq-{F}(V7,V6), P_plus-{F}(V6,V8,V5), P_plus-{F}(V7,V8,V9), P_a-{F}(V7,V9,V10), V10 == V2, int_less-{F}(V11,V8), pppp4-{F}(V12,V1,V13,V14,V11) | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1265: disj( #7, #0+#2+#1248 ), references = 4, size of lhs = 4:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), pppp4-{F}(V2,V1,V3,V4,V5), V5 == V0 | int_less-{T}(V0,V5)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1267: mergings( V2 == V4; #1263 ), references = 1, size of lhs = 17:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), int_leq-{F}(V1,V7), int_leq-{F}(V7,V5), P_plus-{F}(V5,V8,V6), P_plus-{F}(V7,V8,V9), P_a-{F}(V9,V7,V10), V10 == V2, pppp4-{F}(V11,V1,V12,V13,V14), V14 == V8 | int_less-{T}(V8,V14)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1269: mergings( V2 == V4; #1264 ), references = 1, size of lhs = 17:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), int_leq-{F}(V6,V4), int_leq-{F}(V1,V7), int_leq-{F}(V7,V6), P_plus-{F}(V6,V8,V5), P_plus-{F}(V7,V8,V9), P_a-{F}(V7,V9,V10), V10 == V2, pppp4-{F}(V11,V1,V12,V13,V14), V14 == V8 | int_less-{T}(V8,V14)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1299: mergings( V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V22, V1 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V23, V0 == V25; #1284 ), references = 1, size of lhs = 21:
% 27.36/27.58     P_real_zero-{F}(V0), P_real_one-{F}(V1), P_n-{F}(V2), P_int_zero-{F}(V3), int_less-{F}(V3,V4), int_leq-{F}(V4,V4), P_int_one-{F}(V4), int_leq-{F}(V4,V5), pppp5-{F}(V5,V4,V0,V2), int_leq-{F}(V5,V2), int_leq-{F}(V5,V5), P_plus-{F}(V4,V4,V5), int_leq-{F}(V6,V4), P_plus-{F}(V4,V6,V5), int_leq-{F}(V7,V5), int_leq-{F}(V5,V8), P_plus-{F}(V5,V8,V9), V9 == V5, P_plus-{F}(V4,V7,V9), int_leq-{F}(V10,V4), P_plus-{F}(V4,V10,V5) | pppp4-{T}(V5,V4,V0,V2,V3), pppp4-{T}(V5,V4,V0,V2,V4), pppp4-{T}(V5,V4,V0,V2,V5)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1322: mergings( V1 == V2, V2 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V21, V21 == V24, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V22, V22 == V0, V3 == V25, V4 == V26, V5 == V27, V28 == V29; #1301 ), references = 2, size of lhs = 27:
% 27.36/27.58     P_int_zero-{F}(V0), int_leq-{F}(V0,V0), P_plus-{F}(V0,V0,V0), int_less-{F}(V0,V1), int_leq-{F}(V1,V1), P_int_one-{F}(V1), int_leq-{F}(V1,V2), int_leq-{F}(V2,V2), P_plus-{F}(V1,V1,V2), int_leq-{F}(V2,V3), P_n-{F}(V3), int_leq-{F}(V0,V3), int_leq-{F}(V4,V1), P_plus-{F}(V1,V4,V2), int_leq-{F}(V5,V2), int_leq-{F}(V2,V6), P_plus-{F}(V2,V6,V7), V7 == V2, P_plus-{F}(V1,V5,V7), int_leq-{F}(V8,V1), P_plus-{F}(V1,V8,V2), P_real_zero-{F}(V9), pppp5-{F}(V2,V1,V9,V3), P_real_one-{F}(V10), V10 == V9, P_a-{F}(V2,V2,V11), V11 == V9 | pppp4-{T}(V2,V1,V9,V3,V1)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1341: mergings( V1 == V2, V2 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V21, V21 == V24, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V22, V22 == V0, V3 == V25, V4 == V26, V5 == V27, V28 == V29; #1302 ), references = 1, size of lhs = 27:
% 27.36/27.58     P_int_zero-{F}(V0), int_leq-{F}(V0,V0), P_plus-{F}(V0,V0,V0), int_less-{F}(V0,V1), int_leq-{F}(V1,V1), P_int_one-{F}(V1), int_leq-{F}(V1,V2), int_leq-{F}(V2,V2), P_plus-{F}(V1,V1,V2), int_leq-{F}(V2,V3), P_n-{F}(V3), int_leq-{F}(V0,V3), int_leq-{F}(V4,V1), P_plus-{F}(V1,V4,V2), int_leq-{F}(V5,V2), int_leq-{F}(V2,V6), P_plus-{F}(V2,V6,V7), V7 == V2, P_plus-{F}(V1,V5,V7), int_leq-{F}(V8,V1), P_plus-{F}(V1,V8,V2), P_real_zero-{F}(V9), pppp5-{F}(V2,V1,V9,V3), P_real_one-{F}(V10), V10 == V9, P_a-{F}(V2,V2,V11), V11 == V9 | pppp4-{T}(V2,V1,V9,V3,V1)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1360: mergings( V1 == V2, V2 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V21, V21 == V24, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V22, V22 == V0, V3 == V25, V4 == V26, V5 == V27, V30 == V31; #1303 ), references = 1, size of lhs = 30:
% 27.36/27.58     P_int_zero-{F}(V0), int_leq-{F}(V0,V0), int_less-{F}(V0,V1), int_leq-{F}(V1,V1), P_int_one-{F}(V1), int_leq-{F}(V1,V2), int_leq-{F}(V2,V2), P_plus-{F}(V1,V1,V2), int_leq-{F}(V2,V3), P_n-{F}(V3), int_leq-{F}(V0,V3), int_leq-{F}(V4,V1), P_plus-{F}(V1,V4,V2), int_leq-{F}(V5,V2), int_leq-{F}(V2,V6), P_plus-{F}(V2,V6,V7), V7 == V2, P_plus-{F}(V1,V5,V7), int_leq-{F}(V8,V1), P_plus-{F}(V1,V8,V2), P_real_zero-{F}(V9), pppp5-{F}(V2,V1,V9,V3), P_real_one-{F}(V10), int_leq-{F}(V1,V11), int_leq-{F}(V11,V3), pppp1-{F}(V0,V11), P_a-{F}(V11,V0,V12), V12 == V9, P_a-{F}(V2,V2,V13), V13 == V9 | pppp4-{T}(V2,V1,V9,V3,V1)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1395: mergings( V0 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V19, V7 == V9, V9 == V11, V11 == V13, V13 == V1, V1 == V20, V4 == V22; #1382 ), references = 1, size of lhs = 17:
% 27.36/27.58     P_real_zero-{F}(V0), P_real_one-{F}(V1), P_n-{F}(V2), int_leq-{F}(V3,V2), int_leq-{F}(V2,V4), P_plus-{F}(V2,V4,V5), V5 == V2, P_int_zero-{F}(V6), int_less-{F}(V6,V7), int_leq-{F}(V7,V7), P_plus-{F}(V7,V3,V5), P_int_one-{F}(V7), P_plus-{F}(V7,V7,V2), int_leq-{F}(V8,V7), P_plus-{F}(V7,V8,V2), int_leq-{F}(V9,V7), P_plus-{F}(V7,V9,V2) | pppp5-{T}(V2,V7,V0,V2), pppp5-{T}(V7,V7,V0,V2)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1416: mergings( V0 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V18, V18 == V22, V22 == V30, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V19, V3 == V21, V2 == V28, V28 == V36, V29 == V37; #1398 ), references = 1, size of lhs = 45:
% 27.36/27.58     P_n-{F}(V0), int_leq-{F}(V0,V0), int_leq-{F}(V1,V0), int_leq-{F}(V0,V2), P_plus-{F}(V0,V2,V3), V3 == V0, P_int_one-{F}(V4), V4 == V0, int_leq-{F}(V4,V4), P_plus-{F}(V4,V1,V3), int_leq-{F}(V4,V0), P_plus-{F}(V4,V4,V0), int_leq-{F}(V5,V4), P_plus-{F}(V4,V5,V0), int_leq-{F}(V6,V4), P_plus-{F}(V4,V6,V0), int_leq-{F}(V7,V4), P_plus-{F}(V4,V7,V0), int_leq-{F}(V8,V0), int_leq-{F}(V0,V9), P_plus-{F}(V0,V9,V10), V10 == V0, P_plus-{F}(V4,V8,V10), int_leq-{F}(V11,V4), P_plus-{F}(V4,V11,V0), P_real_zero-{F}(V12), P_a-{F}(V4,V0,V12), P_int_zero-{F}(V13), int_leq-{F}(V13,V13), P_plus-{F}(V13,V13,V13), int_less-{F}(V13,V4), int_leq-{F}(V13,V0), int_leq-{F}(V14,V4), P_plus-{F}(V4,V14,V0), int_leq-{F}(V15,V0), int_leq-{F}(V0,V16), P_plus-{F}(V0,V16,V17), V17 == V0, P_plus-{F}(V4,V15,V17), int_leq-{F}(V18,V4), P_plus-{F}(V4,V18,V0), P_real_one-{F}(V19), V19 == V12, P_a-{F}(V0,V0,V20), V20 == V12 | pppp5-{T}(V4,V4,V12,V0)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1453: mergings( V5 == V6, V1 == V0; #1450 ), references = 1, size of lhs = 8:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), int_leq-{F}(V1,V1), P_real_zero-{F}(V2), pppp5-{F}(V1,V1,V2,V3), P_n-{F}(V3), int_leq-{F}(V1,V3), P_real_one-{F}(V4) | pppp4-{T}(V1,V1,V2,V3,V0), pppp4-{T}(V1,V1,V2,V3,V1)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1463: mergings( V1 == V2, V2 == V7, V3 == V0, V4 == V8, V6 == V9, V5 == V10; #1454 ), references = 1, size of lhs = 12:
% 27.36/27.58     P_int_zero-{F}(V0), int_leq-{F}(V0,V0), P_plus-{F}(V0,V0,V0), P_int_one-{F}(V1), int_leq-{F}(V1,V1), int_leq-{F}(V1,V2), P_n-{F}(V2), int_leq-{F}(V0,V2), P_real_zero-{F}(V3), pppp5-{F}(V1,V1,V3,V2), P_real_one-{F}(V4), V4 == V3 | pppp4-{T}(V1,V1,V3,V2,V1)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1470: mergings( V1 == V2, V2 == V7, V3 == V0, V4 == V8, V6 == V9, V5 == V10; #1455 ), references = 1, size of lhs = 12:
% 27.36/27.58     P_int_zero-{F}(V0), int_leq-{F}(V0,V0), P_plus-{F}(V0,V0,V0), P_int_one-{F}(V1), int_leq-{F}(V1,V1), int_leq-{F}(V1,V2), P_n-{F}(V2), int_leq-{F}(V0,V2), P_real_zero-{F}(V3), pppp5-{F}(V1,V1,V3,V2), P_real_one-{F}(V4), V4 == V3 | pppp4-{T}(V1,V1,V3,V2,V1)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1477: mergings( V1 == V2, V2 == V7, V3 == V0, V4 == V8, V6 == V9, V5 == V10; #1456 ), references = 1, size of lhs = 15:
% 27.36/27.58     P_int_zero-{F}(V0), int_leq-{F}(V0,V0), P_int_one-{F}(V1), int_leq-{F}(V1,V1), int_leq-{F}(V1,V2), P_n-{F}(V2), int_leq-{F}(V0,V2), P_real_zero-{F}(V3), pppp5-{F}(V1,V1,V3,V2), P_real_one-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V2), pppp1-{F}(V0,V5), P_a-{F}(V5,V0,V6), V6 == V3 | pppp4-{T}(V1,V1,V3,V2,V1)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1606: mergings( V1 == V5; #1604 ), references = 2, size of lhs = 13:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), V6 == V5, pppp1-{F}(V6,V5), int_leq-{F}(V6,V4), int_leq-{F}(V6,V6), pppp4-{F}(V5,V7,V2,V8,V6) | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1624: mergings( V5 == V6, V6 == V8, V8 == V11, V1 == V9, V9 == V10, V10 == V12, V7 == V13, V3 == V0; #1615 ), references = 1, size of lhs = 8:
% 27.36/27.58     P_n-{F}(V0), int_leq-{F}(V0,V0), P_int_zero-{F}(V1), P_int_one-{F}(V2), int_leq-{F}(V2,V0), P_real_zero-{F}(V3), pppp5-{F}(V0,V2,V3,V0), P_real_one-{F}(V4) | pppp4-{T}(V0,V2,V3,V0,V1), pppp4-{T}(V0,V2,V3,V0,V0)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1640: mergings( V1 == V2, V2 == V6, V6 == V9, V9 == V13, V7 == V8, V8 == V10, V10 == V0, V11 == V14, V3 == V12, V12 == V15, V4 == V5, V5 == V16; #1625 ), references = 2, size of lhs = 12:
% 27.36/27.58     P_int_zero-{F}(V0), int_leq-{F}(V0,V0), P_plus-{F}(V0,V0,V0), P_int_one-{F}(V1), int_leq-{F}(V1,V2), int_leq-{F}(V2,V2), P_n-{F}(V2), int_leq-{F}(V0,V2), P_real_zero-{F}(V3), pppp5-{F}(V2,V1,V3,V2), P_real_one-{F}(V4), V4 == V3 | pppp4-{T}(V2,V1,V3,V2,V2)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1653: mergings( V1 == V2, V2 == V6, V6 == V9, V9 == V13, V7 == V8, V8 == V10, V10 == V0, V11 == V14, V3 == V12, V12 == V15, V4 == V5, V5 == V16; #1626 ), references = 1, size of lhs = 12:
% 27.36/27.58     P_int_zero-{F}(V0), int_leq-{F}(V0,V0), P_plus-{F}(V0,V0,V0), P_int_one-{F}(V1), int_leq-{F}(V1,V2), int_leq-{F}(V2,V2), P_n-{F}(V2), int_leq-{F}(V0,V2), P_real_zero-{F}(V3), pppp5-{F}(V2,V1,V3,V2), P_real_one-{F}(V4), V4 == V3 | pppp4-{T}(V2,V1,V3,V2,V2)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1666: mergings( V1 == V2, V2 == V6, V6 == V9, V9 == V13, V7 == V8, V8 == V10, V10 == V0, V11 == V14, V3 == V12, V12 == V15, V4 == V5, V5 == V16; #1627 ), references = 1, size of lhs = 15:
% 27.36/27.58     P_int_zero-{F}(V0), int_leq-{F}(V0,V0), P_int_one-{F}(V1), int_leq-{F}(V1,V2), int_leq-{F}(V2,V2), P_n-{F}(V2), int_leq-{F}(V0,V2), P_real_zero-{F}(V3), pppp5-{F}(V2,V1,V3,V2), P_real_one-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V2), pppp1-{F}(V0,V5), P_a-{F}(V5,V0,V6), V6 == V3 | pppp4-{T}(V2,V1,V3,V2,V2)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1678: mergings( V1 == V5; #1676 ), references = 1, size of lhs = 13:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), pppp1-{F}(V6,V5), int_leq-{F}(V6,V4), int_leq-{F}(V6,V6), P_a-{F}(V6,V5,V7), V7 == V2 | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1681: mergings( V3 == V5; #1679 ), references = 1, size of lhs = 11:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V1,V5), int_leq-{F}(V5,V4), int_leq-{F}(V1,V6), pppp1-{F}(V6,V5), int_leq-{F}(V6,V4), int_leq-{F}(V6,V6) | P_a-{T}(V6,V5,V2)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1750: mergings( V5 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V6 == V1, V1 == V11, V11 == V13, V13 == V15, V9 == V16, V3 == V17; #1738 ), references = 1, size of lhs = 12:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), int_leq-{F}(V1,V2), int_leq-{F}(V2,V2), P_real_zero-{F}(V3), pppp5-{F}(V2,V1,V3,V4), P_n-{F}(V4), int_leq-{F}(V2,V4), P_real_one-{F}(V5), int_less-{F}(V2,V6), int_leq-{F}(V0,V7), P_plus-{F}(V6,V7,V4) | pppp4-{T}(V2,V1,V3,V4,V0), pppp4-{T}(V2,V1,V3,V4,V2)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1764: mergings( V0 == V3, V3 == V4, V4 == V7, V7 == V9, V9 == V11, V1 == V2, V2 == V8, V8 == V10, V10 == V12, V5 == V15, V6 == V16; #1752 ), references = 3, size of lhs = 14:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), int_leq-{F}(V1,V2), int_leq-{F}(V2,V2), P_real_zero-{F}(V3), pppp5-{F}(V2,V1,V3,V4), P_n-{F}(V4), int_leq-{F}(V2,V4), P_real_one-{F}(V5), int_less-{F}(V2,V6), int_leq-{F}(V0,V7), P_plus-{F}(V6,V7,V4), P_a-{F}(V2,V2,V8), V8 == V3 | pppp4-{T}(V2,V1,V3,V4,V0)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1816: mergings( V0 == V6, V6 == V9, V9 == V12, V7 == V2, V2 == V13, V3 == V8, V8 == V10, V10 == V14, V4 == V15; #1804 ), references = 2, size of lhs = 11:
% 27.36/27.58     P_int_zero-{F}(V0), int_leq-{F}(V0,V0), P_plus-{F}(V0,V0,V0), int_leq-{F}(V0,V1), P_int_one-{F}(V2), P_real_zero-{F}(V3), P_real_one-{F}(V4), V4 == V3, P_n-{F}(V5), P_plus-{F}(V5,V1,V5), int_leq-{F}(V0,V5) | pppp5-{T}(V5,V2,V3,V5)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1826: mergings( V0 == V6, V6 == V9, V9 == V12, V7 == V2, V2 == V13, V3 == V8, V8 == V10, V10 == V14, V4 == V15; #1805 ), references = 1, size of lhs = 11:
% 27.36/27.58     P_int_zero-{F}(V0), int_leq-{F}(V0,V0), P_plus-{F}(V0,V0,V0), int_leq-{F}(V0,V1), P_int_one-{F}(V2), P_real_zero-{F}(V3), P_real_one-{F}(V4), V4 == V3, P_n-{F}(V5), P_plus-{F}(V5,V1,V5), int_leq-{F}(V0,V5) | pppp5-{T}(V5,V2,V3,V5)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1843: mergings( V2 == V4, V4 == V9, V9 == V1, V5 == V10, V10 == V13, V3 == V6, V6 == V7, V7 == V11, V11 == V14; #1833 ), references = 4, size of lhs = 14:
% 27.36/27.58     P_n-{F}(V0), int_leq-{F}(V0,V0), P_int_zero-{F}(V1), V1 == V0, int_leq-{F}(V1,V1), P_plus-{F}(V1,V1,V1), int_leq-{F}(V1,V2), P_plus-{F}(V0,V2,V0), P_int_one-{F}(V3), P_real_zero-{F}(V4), P_real_one-{F}(V5), V5 == V4, P_a-{F}(V0,V0,V6), V6 == V4 | int_less-{T}(V0,V1)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1905: exists( #24, #1903 ), references = 1, size of lhs = 7:
% 27.36/27.58     P_int_zero-{F}(V0), P_int_one-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_less-{F}(V4,V5), int_less-{F}(V5,V1) | pppp5-{T}(V4,V1,V2,V4), pppp5-{T}(V1,V1,V2,V4)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1919: mergings( V0 == V6; #1915 ), references = 4, size of lhs = 8:
% 27.36/27.58     P_real_zero-{F}(V0), P_real_one-{F}(V1), P_n-{F}(V2), int_less-{F}(V2,V3), int_less-{F}(V3,V4), P_int_one-{F}(V4), P_int_zero-{F}(V5), int_less-{F}(V2,V5) | pppp5-{T}(V2,V4,V0,V2)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1925: mergings( V0 == V6, V4 == V11, V2 == V7, V3 == V8, V11 == V9; #1916 ), references = 1, size of lhs = 12:
% 27.36/27.58     P_int_one-{F}(V0), P_int_zero-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V4,V4), int_less-{F}(V4,V5), int_less-{F}(V5,V0), int_less-{F}(V4,V6), P_plus-{F}(V4,V6,V4), P_a-{F}(V4,V4,V7), V7 == V2 | pppp5-{T}(V4,V0,V2,V4)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1931: mergings( V0 == V6, V4 == V11, V2 == V7, V3 == V8, V11 == V9; #1917 ), references = 1, size of lhs = 12:
% 27.36/27.58     P_int_one-{F}(V0), P_int_zero-{F}(V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), P_n-{F}(V4), int_leq-{F}(V4,V4), int_less-{F}(V4,V5), int_less-{F}(V5,V0), int_less-{F}(V4,V6), P_plus-{F}(V4,V6,V4), P_a-{F}(V4,V4,V7), V7 == V2 | pppp5-{T}(V4,V0,V2,V4)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #1989: mergings( V1 == V3, V3 == V13, V2 == V4, V4 == V7, V7 == V12, V5 == V8, V8 == V10, V6 == V9, V9 == V11; #1977 ), references = 1, size of lhs = 8:
% 27.36/27.58     P_real_zero-{F}(V0), P_real_one-{F}(V1), V1 == V0, P_int_one-{F}(V2), P_int_zero-{F}(V3), P_plus-{F}(V3,V3,V3), int_less-{F}(V3,V2), int_leq-{F}(V3,V3) | P_n-{T}(V3)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #2001: mergings( V2 == V12, V12 == V13, V1 == V3, V3 == V6, V6 == V11, V4 == V7, V7 == V9, V9 == V14, V5 == V8, V8 == V10, V10 == V15; #1978 ), references = 1, size of lhs = 8:
% 27.36/27.58     P_int_one-{F}(V0), P_int_zero-{F}(V1), P_plus-{F}(V1,V1,V1), int_less-{F}(V1,V0), int_leq-{F}(V1,V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), V3 == V2 | P_n-{T}(V1)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #2013: mergings( V2 == V12, V12 == V13, V1 == V3, V3 == V6, V6 == V11, V4 == V7, V7 == V9, V9 == V14, V5 == V8, V8 == V10, V10 == V15; #1979 ), references = 1, size of lhs = 8:
% 27.36/27.58     P_int_one-{F}(V0), P_int_zero-{F}(V1), P_plus-{F}(V1,V1,V1), int_less-{F}(V1,V0), int_leq-{F}(V1,V1), P_real_zero-{F}(V2), P_real_one-{F}(V3), V3 == V2 | P_n-{T}(V1)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #2041: mergings( V1 == V3, V3 == V10, V10 == V13, V2 == V4, V4 == V6, V6 == V9, V9 == V14, V5 == V7, V7 == V8, V8 == V12; #2028 ), references = 1, size of lhs = 8:
% 27.36/27.58     P_real_zero-{F}(V0), P_int_zero-{F}(V1), P_plus-{F}(V1,V1,V1), int_leq-{F}(V1,V1), int_leq-{F}(V1,V2), P_plus-{F}(V1,V2,V1), int_less-{F}(V1,V3), P_int_one-{F}(V3) | P_real_one-{T}(V0)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #2055: mergings( V0 == V2, V2 == V9, V9 == V12, V12 == V14, V1 == V3, V3 == V5, V5 == V8, V8 == V13, V13 == V15, V4 == V7, V7 == V11, V11 == V6; #2042 ), references = 1, size of lhs = 8:
% 27.36/27.58     P_int_zero-{F}(V0), P_plus-{F}(V0,V0,V0), int_leq-{F}(V0,V0), int_leq-{F}(V0,V1), P_plus-{F}(V0,V1,V0), int_less-{F}(V0,V2), P_int_one-{F}(V2), P_real_zero-{F}(V3) | P_real_one-{T}(V3)
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #2069: mergings( V1 == V3, V3 == V7, V7 == V9, V9 == V11, V11 == V13, V2 == V4, V4 == V5, V5 == V6, V6 == V10, V10 == V12, V12 == V14; #2057 ), references = 1, size of lhs = 7:
% 27.36/27.58     P_int_zero-{F}(V0), P_plus-{F}(V0,V0,V0), int_leq-{F}(V0,V0), int_leq-{F}(V0,V1), P_plus-{F}(V0,V1,V0), int_less-{F}(V0,V2), P_int_one-{F}(V2) | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #2077: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #2072 ), references = 1, size of lhs = 2:
% 27.36/27.58     P_int_zero-{F}(V0), int_leq-{F}(V0,V0) | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  #2081: exists( #33, #2079 ), references = 1, size of lhs = 0:
% 27.36/27.58     FALSE | FALSE
% 27.36/27.58        (used 0 times, uses = {})
% 27.36/27.58  
% 27.36/27.58  number of learnt formulas = 83
% 27.36/27.58  
% 27.36/27.58  
% 27.36/27.58  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.36/27.58  
% 27.36/27.58  randbase = 1
%------------------------------------------------------------------------------