TSTP Solution File: KLE089+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : KLE089+1 : TPTP v7.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n152.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32218.625MB
% OS       : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Fri Jul  6 10:19:55 EDT 2018

% Result   : Theorem 56.53s
% Output   : Refutation 56.53s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : KLE089+1 : TPTP v7.1.0. Released v4.0.0.
% 0.00/0.04  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.03/0.26  % Computer : n152.star.cs.uiowa.edu
% 0.03/0.26  % Model    : x86_64 x86_64
% 0.03/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.26  % Memory   : 32218.625MB
% 0.03/0.26  % OS       : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.26  % CPULimit : 300
% 0.03/0.26  % DateTime : Thu Jul  5 19:57:25 CDT 2018
% 0.03/0.26  % CPUTime  : 
% 56.53/56.79  GeoParameters:
% 56.53/56.79  
% 56.53/56.79  tptp_input =     1
% 56.53/56.79  tptp_output =    0
% 56.53/56.79  nonempty =       1
% 56.53/56.79  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 56.53/56.79  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 56.53/56.79  
% 56.53/56.79  
% 56.53/56.79  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 56.53/56.79  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 56.53/56.79  
% 56.53/56.79  RuleSystem INPUT:
% 56.53/56.79  
% 56.53/56.79  Initial Rules:
% 56.53/56.79  #0: input, references = 4, size of lhs = 3:
% 56.53/56.79     P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #1: input, references = 5, size of lhs = 5:
% 56.53/56.79     P_addition-{F}(V1,V0,V3), P_addition-{F}(V2,V3,V4), P_addition-{F}(V2,V1,V5), P_addition-{F}(V5,V0,V6), V4 == V6 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #2: input, references = 5, size of lhs = 3:
% 56.53/56.79     P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #3: input, references = 4, size of lhs = 3:
% 56.53/56.79     P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #4: input, references = 4, size of lhs = 6:
% 56.53/56.79     P_zero-{F}(V0), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V1,V4,V5), P_multiplication-{F}(V1,V2,V6), P_multiplication-{F}(V6,V3,V7), V5 == V7 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #5: input, references = 4, size of lhs = 4:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #6: input, references = 4, size of lhs = 4:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #7: input, references = 6, size of lhs = 8:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V3,V4,V5), P_multiplication-{F}(V2,V5,V6), P_multiplication-{F}(V2,V3,V7), P_multiplication-{F}(V2,V4,V8), P_addition-{F}(V7,V8,V9), V6 == V9 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #8: input, references = 8, size of lhs = 8:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V5), P_multiplication-{F}(V5,V4,V6), P_multiplication-{F}(V2,V4,V7), P_multiplication-{F}(V3,V4,V8), P_addition-{F}(V7,V8,V9), V6 == V9 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #9: input, references = 4, size of lhs = 4:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #10: input, references = 4, size of lhs = 4:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #11: input, references = 3, size of lhs = 5:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #12: input, references = 3, size of lhs = 3:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #13: input, references = 6, size of lhs = 5:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4), V4 == V0 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #14: input, references = 4, size of lhs = 10:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_antidomain-{F}(V4,V5), P_antidomain-{F}(V3,V6), P_antidomain-{F}(V6,V7), P_multiplication-{F}(V2,V7,V8), P_antidomain-{F}(V8,V9), P_addition-{F}(V5,V9,V10), V10 == V9 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #15: input, references = 6, size of lhs = 6:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_antidomain-{F}(V3,V4), P_addition-{F}(V4,V3,V5), V5 == V1 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #16: input, references = 5, size of lhs = 6:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_antidomain-{F}(V2,V4), P_antidomain-{F}(V4,V5), V3 == V5 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #17: input, references = 5, size of lhs = 5:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), V4 == V0 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #18: input, references = 4, size of lhs = 10:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_coantidomain-{F}(V4,V5), P_coantidomain-{F}(V2,V6), P_coantidomain-{F}(V6,V7), P_multiplication-{F}(V7,V3,V8), P_coantidomain-{F}(V8,V9), P_addition-{F}(V5,V9,V10), V10 == V9 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #19: input, references = 4, size of lhs = 6:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_coantidomain-{F}(V3,V4), P_addition-{F}(V4,V3,V5), V5 == V1 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #20: input, references = 5, size of lhs = 6:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_codomain-{F}(V2,V3), P_coantidomain-{F}(V2,V4), P_coantidomain-{F}(V4,V5), V3 == V5 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #21: input, references = 4, size of lhs = 2:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp1-{T}(V0,V2)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #22: input, references = 6, size of lhs = 1:
% 56.53/56.79     pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V1,V2,V0)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #23: input, references = 6, size of lhs = 5:
% 56.53/56.79     pppp0-{F}(V0,V1,V2), P_domain-{F}(V0,V3), P_antidomain-{F}(V1,V4), P_addition-{F}(V3,V4,V5), P_multiplication-{F}(V3,V1,V2) | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #24: input, references = 5, size of lhs = 6:
% 56.53/56.79     pppp0-{F}(V0,V1,V2), P_domain-{F}(V0,V3), P_antidomain-{F}(V1,V4), P_addition-{F}(V3,V4,V5), P_multiplication-{F}(V3,V1,V6), V5 == V4 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #25: input, references = 11, size of lhs = 2:
% 56.53/56.79     #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #26: input, references = 4, size of lhs = 0:
% 56.53/56.79     FALSE | EXISTS V0: P_zero-{T}(V0)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #27: input, references = 15, size of lhs = 2:
% 56.53/56.79     #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #28: input, references = 4, size of lhs = 0:
% 56.53/56.79     FALSE | EXISTS V0: P_one-{T}(V0)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #29: input, references = 10, size of lhs = 1:
% 56.53/56.79     #-{F} V0 | EXISTS V1: P_antidomain-{T}(V0,V1)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #30: input, references = 9, size of lhs = 1:
% 56.53/56.79     #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #31: input, references = 5, size of lhs = 1:
% 56.53/56.79     #-{F} V0 | EXISTS V1: P_coantidomain-{T}(V0,V1)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #32: input, references = 9, size of lhs = 1:
% 56.53/56.79     #-{F} V0 | EXISTS V1: P_codomain-{T}(V0,V1)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  number of initial rules = 33
% 56.53/56.79  
% 56.53/56.79  Simplifiers:
% 56.53/56.79  #33: unsound, references = 3, size of lhs = 3:
% 56.53/56.79     P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #34: unsound, references = 3, size of lhs = 3:
% 56.53/56.79     P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #35: unsound, references = 3, size of lhs = 3:
% 56.53/56.79     P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #36: unsound, references = 3, size of lhs = 3:
% 56.53/56.79     P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #37: unsound, references = 3, size of lhs = 3:
% 56.53/56.79     P_antidomain-{F}(V0,V1), P_antidomain-{F}(V0,V3), V1 == V3 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #38: unsound, references = 3, size of lhs = 3:
% 56.53/56.79     P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #39: unsound, references = 3, size of lhs = 3:
% 56.53/56.79     P_coantidomain-{F}(V0,V1), P_coantidomain-{F}(V0,V3), V1 == V3 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #40: unsound, references = 3, size of lhs = 3:
% 56.53/56.79     P_codomain-{F}(V0,V1), P_codomain-{F}(V0,V3), V1 == V3 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #41: unsound, references = 3, size of lhs = 3:
% 56.53/56.79     pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V4,V2), V1 == V4 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #42: unsound, references = 3, size of lhs = 3:
% 56.53/56.79     pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V2), V0 == V3 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #43: unsound, references = 3, size of lhs = 3:
% 56.53/56.79     pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V2 == V5 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #44: unsound, references = 3, size of lhs = 3:
% 56.53/56.79     pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #45: unsound, references = 3, size of lhs = 3:
% 56.53/56.79     pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  number of simplifiers = 13
% 56.53/56.79  
% 56.53/56.79  Learnt:
% 56.53/56.79  #47: exists( #25, #19 ), references = 6, size of lhs = 4:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_coantidomain-{F}(V3,V4) | P_addition-{T}(V4,V3,V1)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #50: exists( #25, #3 ), references = 5, size of lhs = 2:
% 56.53/56.79     P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #52: exists( #29, #16 ), references = 4, size of lhs = 4:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_antidomain-{F}(V2,V4) | P_antidomain-{T}(V4,V3)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #54: exists( #31, #20 ), references = 7, size of lhs = 4:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_codomain-{F}(V2,V3), P_coantidomain-{F}(V2,V4) | P_coantidomain-{T}(V4,V3)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #56: exists( #30, #16 ), references = 1, size of lhs = 4:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_antidomain-{F}(V3,V4) | P_domain-{T}(V2,V4)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #58: exists( #25, #0 ), references = 9, size of lhs = 1:
% 56.53/56.79     P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #60: exists( #27, #5 ), references = 3, size of lhs = 3:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #63: exists( #32, #20 ), references = 1, size of lhs = 4:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_coantidomain-{F}(V3,V4) | P_codomain-{T}(V2,V4)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #72: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #67 ), references = 1, size of lhs = 3:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V1) | P_domain-{T}(V2,V0)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #78: exists( #27, #9 ), references = 1, size of lhs = 3:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #86: mergings( V2 == V4, V4 == V6, V3 == V5; #82 ), references = 1, size of lhs = 4:
% 56.53/56.79     P_one-{F}(V0), P_zero-{F}(V1), P_coantidomain-{F}(V2,V1), P_coantidomain-{F}(V3,V1) | P_codomain-{T}(V2,V0)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #89: exists( #25, #2 ), references = 8, size of lhs = 2:
% 56.53/56.79     P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #90: exists( #25, #7 ), references = 1, size of lhs = 6:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V5,V4,V6), P_multiplication-{F}(V5,V2,V7), P_multiplication-{F}(V5,V3,V8) | P_addition-{T}(V7,V8,V6)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #96: exists( #27, #10 ), references = 2, size of lhs = 3:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #101: mergings( V0 == V2; #99 ), references = 1, size of lhs = 3:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V0) | P_antidomain-{T}(V0,V1)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #105: exists( #27, #13 ), references = 3, size of lhs = 3:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3) | P_multiplication-{T}(V3,V2,V0)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #114: mergings( V3 == V4; #112 ), references = 1, size of lhs = 5:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_addition-{F}(V4,V3,V5), P_multiplication-{F}(V2,V5,V6) | P_multiplication-{T}(V2,V4,V6)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #116: exists( #25, #1 ), references = 12, size of lhs = 3:
% 56.53/56.79     P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V0,V4), P_addition-{F}(V4,V1,V5) | P_addition-{T}(V3,V2,V5)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #121: mergings( V2 == V3, V0 == V4; #118 ), references = 1, size of lhs = 2:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1) | P_antidomain-{T}(V1,V0)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #131: exists( #27, #6 ), references = 3, size of lhs = 3:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #132: exists( #27, #4 ), references = 3, size of lhs = 4:
% 56.53/56.79     P_zero-{F}(V0), P_multiplication-{F}(V1,V2,V3), P_multiplication-{F}(V4,V3,V5), P_multiplication-{F}(V4,V1,V6) | P_multiplication-{T}(V6,V2,V5)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #140: mergings( V2 == V3, V0 == V4; #137 ), references = 1, size of lhs = 2:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1) | P_coantidomain-{T}(V1,V0)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #145: exists( #29, #143 ), references = 1, size of lhs = 4:
% 56.53/56.79     P_zero-{F}(V0), P_domain-{F}(V1,V0), pppp0-{F}(V1,V2,V3), P_multiplication-{F}(V0,V2,V3) | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #148: exists( #22, #146 ), references = 1, size of lhs = 4:
% 56.53/56.79     P_one-{F}(V0), P_zero-{F}(V1), pppp1-{F}(V1,V2), P_domain-{F}(V2,V1) | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #164: mergings( V2 == V3, V3 == V5, V4 == V6; #160 ), references = 1, size of lhs = 8:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V0), P_coantidomain-{F}(V3,V4), P_multiplication-{F}(V5,V6,V4), P_coantidomain-{F}(V5,V7), P_coantidomain-{F}(V7,V8), P_multiplication-{F}(V8,V6,V2) | P_codomain-{T}(V3,V0)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #188: exists( #25, #24 ), references = 3, size of lhs = 4:
% 56.53/56.79     P_domain-{F}(V0,V1), pppp0-{F}(V0,V2,V3), P_antidomain-{F}(V2,V4), P_multiplication-{F}(V1,V2,V5) | P_addition-{T}(V1,V4,V4)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #195: mergings( V2 == V4, V9 == V10, V3 == V5; #191 ), references = 2, size of lhs = 7:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), pppp0-{F}(V2,V4,V5), P_multiplication-{F}(V3,V4,V6), P_addition-{F}(V6,V0,V7), V0 == V7 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #203: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #198 ), references = 1, size of lhs = 4:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V1), pppp1-{F}(V3,V2) | pppp0-{T}(V2,V0,V3)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #232: mergings( V2 == V4, V3 == V5; #229 ), references = 1, size of lhs = 7:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_coantidomain-{F}(V4,V3), P_addition-{F}(V3,V5,V3), P_addition-{F}(V1,V5,V6), V1 == V6 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #236: mergings( V3 == V4; #234 ), references = 5, size of lhs = 8:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V5,V2,V6), P_addition-{F}(V7,V8,V6), P_multiplication-{F}(V7,V3,V9), P_multiplication-{F}(V8,V3,V10), P_addition-{F}(V9,V10,V11) | P_multiplication-{T}(V5,V4,V11)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #310: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #299 ), references = 1, size of lhs = 23:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V2), P_coantidomain-{F}(V3,V4), P_coantidomain-{F}(V5,V4), P_addition-{F}(V1,V6,V7), P_addition-{F}(V2,V6,V8), P_addition-{F}(V7,V9,V10), P_addition-{F}(V8,V9,V11), P_multiplication-{F}(V12,V13,V10), P_multiplication-{F}(V14,V13,V4), P_addition-{F}(V14,V12,V15), P_multiplication-{F}(V16,V13,V17), P_multiplication-{F}(V18,V16,V15), P_multiplication-{F}(V19,V17,V4), P_multiplication-{F}(V20,V19,V21), P_addition-{F}(V22,V18,V21), P_multiplication-{F}(V22,V17,V23), P_addition-{F}(V23,V11,V24), P_multiplication-{F}(V20,V2,V25), P_multiplication-{F}(V20,V1,V26), P_addition-{F}(V26,V24,V27), V25 == V27 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #321: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12, V4 == V6, V6 == V8, V8 == V10, V10 == V13; #300 ), references = 1, size of lhs = 24:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V2), P_coantidomain-{F}(V3,V4), P_coantidomain-{F}(V5,V4), P_multiplication-{F}(V6,V7,V4), P_multiplication-{F}(V8,V7,V9), P_multiplication-{F}(V9,V9,V10), P_multiplication-{F}(V10,V11,V12), P_multiplication-{F}(V13,V11,V14), P_addition-{F}(V15,V13,V15), P_multiplication-{F}(V16,V8,V17), P_multiplication-{F}(V16,V12,V18), P_addition-{F}(V18,V14,V19), V18 == V19, P_addition-{F}(V6,V20,V17), P_multiplication-{F}(V20,V7,V21), P_addition-{F}(V1,V22,V23), P_addition-{F}(V2,V22,V24), P_addition-{F}(V23,V25,V21), P_addition-{F}(V24,V25,V26), P_addition-{F}(V27,V16,V26), P_multiplication-{F}(V27,V9,V28), P_addition-{F}(V28,V26,V15) | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #373: exists( #27, #17 ), references = 1, size of lhs = 3:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3) | P_multiplication-{T}(V2,V3,V0)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #383: exists( #25, #8 ), references = 3, size of lhs = 6:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V4,V5,V6), P_multiplication-{F}(V2,V5,V7), P_multiplication-{F}(V3,V5,V8) | P_addition-{T}(V7,V8,V6)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #391: exists( #27, #24 ), references = 1, size of lhs = 5:
% 56.53/56.79     P_domain-{F}(V0,V1), pppp0-{F}(V0,V2,V3), P_antidomain-{F}(V2,V4), P_addition-{F}(V1,V4,V5), V5 == V4 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #394: exists( #30, #392 ), references = 1, size of lhs = 3:
% 56.53/56.79     P_zero-{F}(V0), P_antidomain-{F}(V1,V0), pppp0-{F}(V2,V1,V3) | P_domain-{T}(V2,V0)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #418: exists( #27, #414 ), references = 1, size of lhs = 8:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_antidomain-{F}(V4,V3), V4 == V1, P_antidomain-{F}(V5,V4), pppp0-{F}(V2,V5,V6), P_antidomain-{F}(V7,V4) | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #423: mergings( V2 == V4, V3 == V5; #420 ), references = 1, size of lhs = 7:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), V3 == V1, P_antidomain-{F}(V4,V3), pppp0-{F}(V2,V4,V5), P_antidomain-{F}(V6,V3) | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #427: mergings( V2 == V4, V3 == V5; #424 ), references = 1, size of lhs = 3:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2,V2,V3) | P_antidomain-{T}(V2,V1)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #441: mergings( V2 == V3, V3 == V5, V4 == V6; #437 ), references = 1, size of lhs = 4:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), pppp0-{F}(V2,V3,V0) | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #483: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #475 ), references = 1, size of lhs = 15:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V2), P_coantidomain-{F}(V3,V4), P_coantidomain-{F}(V5,V4), P_antidomain-{F}(V6,V7), P_antidomain-{F}(V7,V8), P_multiplication-{F}(V9,V6,V10), P_antidomain-{F}(V10,V11), P_multiplication-{F}(V9,V8,V12), P_antidomain-{F}(V12,V13), P_multiplication-{F}(V4,V14,V13), P_multiplication-{F}(V1,V14,V11), P_multiplication-{F}(V2,V14,V15), V15 == V13 | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #489: exists( #25, #487 ), references = 1, size of lhs = 6:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_antidomain-{F}(V3,V4), P_addition-{F}(V5,V6,V4), P_addition-{F}(V3,V5,V7) | P_addition-{T}(V7,V6,V1)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #501: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #496 ), references = 1, size of lhs = 13:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_antidomain-{F}(V3,V4), P_multiplication-{F}(V1,V5,V6), V6 == V4, P_multiplication-{F}(V7,V5,V7), P_multiplication-{F}(V8,V9,V7), P_multiplication-{F}(V10,V9,V4), P_addition-{F}(V8,V11,V10), P_multiplication-{F}(V11,V9,V12), P_addition-{F}(V3,V12,V13), P_multiplication-{F}(V13,V5,V12) | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #564: exists( #27, #562 ), references = 1, size of lhs = 4:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), pppp0-{F}(V2,V4,V5) | P_multiplication-{T}(V3,V4,V0)
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #572: mergings( V6 == V7, V5 == V7, V2 == V4; #568 ), references = 1, size of lhs = 3:
% 56.53/56.79     P_domain-{F}(V0,V1), pppp0-{F}(V0,V2,V3), P_multiplication-{F}(V1,V2,V3) | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #577: mergings( V2 == V5, V5 == V6; #574 ), references = 1, size of lhs = 3:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2,V3,V0) | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #579: exists( #22, #574 ), references = 1, size of lhs = 3:
% 56.53/56.79     P_zero-{F}(V0), pppp1-{F}(V0,V1), P_one-{F}(V2) | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #582: mergings( V1 == V3; #580 ), references = 1, size of lhs = 2:
% 56.53/56.79     P_zero-{F}(V0), P_one-{F}(V1) | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #584: exists( #28, #580 ), references = 1, size of lhs = 1:
% 56.53/56.79     P_zero-{F}(V0) | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  #586: exists( #26, #583 ), references = 1, size of lhs = 0:
% 56.53/56.79     FALSE | FALSE
% 56.53/56.79        (used 0 times, uses = {})
% 56.53/56.79  
% 56.53/56.79  number of learnt formulas = 50
% 56.53/56.79  
% 56.53/56.79  
% 56.53/56.79  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 56.53/56.79  
% 56.53/56.79  randbase = 1
%------------------------------------------------------------------------------