TSTP Solution File: KLE027+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : KLE027+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n017.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 06:06:58 EDT 2022

% Result   : Theorem 4.72s 4.90s
% Output   : Refutation 4.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KLE027+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n017.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 16:09:14 EDT 2022
% 0.18/0.33  % CPUTime  : 
% 4.72/4.90  GeoParameters:
% 4.72/4.90  
% 4.72/4.90  tptp_input =     1
% 4.72/4.90  tptp_output =    0
% 4.72/4.90  nonempty =       1
% 4.72/4.90  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.72/4.90  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 4.72/4.90  
% 4.72/4.90  
% 4.72/4.90  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.72/4.90  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.72/4.90  
% 4.72/4.90  RuleSystem INPUT:
% 4.72/4.90  
% 4.72/4.90  Initial Rules:
% 4.72/4.90  #0: input, references = 4, size of lhs = 3:
% 4.72/4.90     P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #1: input, references = 4, size of lhs = 5:
% 4.72/4.90     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
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #2: input, references = 4, size of lhs = 3:
% 4.72/4.90     P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #3: input, references = 4, size of lhs = 3:
% 4.72/4.90     P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #4: input, references = 4, size of lhs = 6:
% 4.72/4.90     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
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #5: input, references = 4, size of lhs = 4:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #6: input, references = 4, size of lhs = 4:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #7: input, references = 6, size of lhs = 8:
% 4.72/4.90     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
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #8: input, references = 6, size of lhs = 8:
% 4.72/4.90     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
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #9: input, references = 4, size of lhs = 4:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #10: input, references = 4, size of lhs = 4:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #11: input, references = 3, size of lhs = 5:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #12: input, references = 3, size of lhs = 3:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #13: input, references = 4, size of lhs = 3:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2) | pppp0-{T}(V2)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #14: input, references = 3, size of lhs = 3:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | test-{T}(V2)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #15: input, references = 6, size of lhs = 3:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | EXISTS V3: pppp2-{T}(V2,V3)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #16: input, references = 3, size of lhs = 3:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp0-{T}(V2)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #17: input, references = 7, size of lhs = 1:
% 4.72/4.90     pppp2-{F}(V0,V1) | complement-{T}(V1,V0)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #18: input, references = 8, size of lhs = 3:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp1-{T}(V2,V3)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #19: input, references = 4, size of lhs = 3:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | complement-{T}(V3,V2)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #20: input, references = 5, size of lhs = 7:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V3,V2,V5), P_addition-{F}(V2,V3,V6), pppp1-{F}(V2,V3), V4 == V0 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #21: input, references = 4, size of lhs = 7:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V3,V2,V5), P_addition-{F}(V2,V3,V6), pppp1-{F}(V2,V3), V5 == V0 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #22: input, references = 7, size of lhs = 7:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V3,V2,V5), P_addition-{F}(V2,V3,V6), pppp1-{F}(V2,V3), V6 == V1 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #23: input, references = 4, size of lhs = 5:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_multiplication-{F}(V3,V2,V0), P_addition-{F}(V2,V3,V1) | pppp1-{T}(V2,V3)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #24: input, references = 4, size of lhs = 4:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V4), test-{F}(V2) | complement-{T}(V2,V4)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #25: input, references = 5, size of lhs = 6:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), test-{F}(V2), complement-{F}(V2,V4), V3 == V4 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #26: input, references = 3, size of lhs = 4:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), V3 == V0 | test-{T}(V2)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #27: input, references = 3, size of lhs = 2:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp3-{T}(V2)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #28: input, references = 4, size of lhs = 2:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp7-{T}(V2)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #29: input, references = 6, size of lhs = 2:
% 4.72/4.90     pppp7-{F}(V0), P_c-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #30: input, references = 4, size of lhs = 2:
% 4.72/4.90     pppp7-{F}(V0), P_c-{F}(V0,V1) | test-{T}(V0)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #31: input, references = 6, size of lhs = 1:
% 4.72/4.90     pppp6-{F}(V0,V1,V2) | EXISTS V3: pppp5-{T}(V0,V2,V1,V3)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #32: input, references = 7, size of lhs = 1:
% 4.72/4.90     pppp5-{F}(V0,V1,V2,V3) | EXISTS V4: pppp4-{T}(V3,V0,V1,V2,V4)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #33: input, references = 7, size of lhs = 8:
% 4.72/4.90     pppp4-{F}(V0,V1,V2,V3,V4), P_multiplication-{F}(V1,V4,V5), P_multiplication-{F}(V3,V0,V6), P_addition-{F}(V5,V6,V7), P_multiplication-{F}(V1,V7,V8), P_multiplication-{F}(V3,V2,V9), P_addition-{F}(V8,V9,V11), P_addition-{F}(V5,V9,V11) | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #34: input, references = 3, size of lhs = 1:
% 4.72/4.90     pppp3-{F}(V0) | test-{T}(V0)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #35: input, references = 11, size of lhs = 2:
% 4.72/4.90     #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #36: input, references = 4, size of lhs = 0:
% 4.72/4.90     FALSE | EXISTS V0: P_zero-{T}(V0)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #37: input, references = 17, size of lhs = 2:
% 4.72/4.90     #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #38: input, references = 4, size of lhs = 0:
% 4.72/4.90     FALSE | EXISTS V0: P_one-{T}(V0)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #39: input, references = 5, size of lhs = 1:
% 4.72/4.90     #-{F} V0 | EXISTS V1: P_c-{T}(V0,V1)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  number of initial rules = 40
% 4.72/4.90  
% 4.72/4.90  Simplifiers:
% 4.72/4.90  #40: unsound, references = 3, size of lhs = 3:
% 4.72/4.90     P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #41: unsound, references = 3, size of lhs = 3:
% 4.72/4.90     P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #42: unsound, references = 3, size of lhs = 3:
% 4.72/4.90     P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #43: unsound, references = 3, size of lhs = 3:
% 4.72/4.90     P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #44: unsound, references = 3, size of lhs = 3:
% 4.72/4.90     P_c-{F}(V0,V1), P_c-{F}(V0,V3), V1 == V3 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #45: unsound, references = 3, size of lhs = 3:
% 4.72/4.90     pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #46: unsound, references = 3, size of lhs = 3:
% 4.72/4.90     pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #47: unsound, references = 3, size of lhs = 3:
% 4.72/4.90     pppp4-{F}(V0,V1,V2,V3,V4), pppp4-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #48: unsound, references = 3, size of lhs = 3:
% 4.72/4.90     pppp4-{F}(V0,V1,V2,V3,V4), pppp4-{F}(V5,V1,V2,V3,V9), V0 == V5 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #49: unsound, references = 3, size of lhs = 3:
% 4.72/4.90     pppp4-{F}(V0,V1,V2,V3,V4), pppp4-{F}(V5,V1,V7,V3,V9), V2 == V7 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #50: unsound, references = 3, size of lhs = 3:
% 4.72/4.90     pppp4-{F}(V0,V1,V2,V3,V4), pppp4-{F}(V5,V6,V7,V8,V9), V1 == V6 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #51: unsound, references = 3, size of lhs = 3:
% 4.72/4.90     pppp4-{F}(V0,V1,V2,V3,V4), pppp4-{F}(V5,V1,V7,V8,V9), V3 == V8 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #52: unsound, references = 3, size of lhs = 3:
% 4.72/4.90     pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #53: unsound, references = 3, size of lhs = 3:
% 4.72/4.90     pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V5,V2,V7), V1 == V5 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #54: unsound, references = 3, size of lhs = 3:
% 4.72/4.90     pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #55: unsound, references = 3, size of lhs = 3:
% 4.72/4.90     pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V5,V6,V7), V2 == V6 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #56: unsound, references = 3, size of lhs = 3:
% 4.72/4.90     pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #57: unsound, references = 3, size of lhs = 3:
% 4.72/4.90     pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V4,V5), V0 == V3 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #58: unsound, references = 3, size of lhs = 3:
% 4.72/4.90     pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V4,V5), V1 == V4 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #59: unsound, references = 3, size of lhs = 3:
% 4.72/4.90     pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  number of simplifiers = 20
% 4.72/4.90  
% 4.72/4.90  Learnt:
% 4.72/4.90  #61: exists( #35, #3 ), references = 1, size of lhs = 2:
% 4.72/4.90     P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #64: exists( #37, #5 ), references = 3, size of lhs = 3:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #65: exists( #37, #6 ), references = 6, size of lhs = 3:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #68: exists( #37, #9 ), references = 2, size of lhs = 3:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #69: exists( #37, #10 ), references = 7, size of lhs = 3:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #71: exists( #35, #2 ), references = 11, size of lhs = 2:
% 4.72/4.90     P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #77: exists( #37, #22 ), references = 1, size of lhs = 5:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V3), V3 == V1 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #79: mergings( V4 == V3; #74 ), references = 1, size of lhs = 4:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V1) | P_multiplication-{T}(V2,V2,V0)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #85: exists( #35, #0 ), references = 13, size of lhs = 1:
% 4.72/4.90     P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #89: exists( #39, #25 ), references = 1, size of lhs = 4:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), complement-{F}(V2,V3) | P_c-{T}(V2,V3)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #99: exists( #35, #93 ), references = 3, size of lhs = 6:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), V4 == V0, P_multiplication-{F}(V3,V2,V5) | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #101: mergings( V5 == V3; #97 ), references = 2, size of lhs = 6:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V2,V3,V0), P_multiplication-{F}(V3,V2,V4), V4 == V0 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #104: mergings( V5 == V3, V6 == V3; #98 ), references = 3, size of lhs = 5:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V2,V3,V0), P_multiplication-{F}(V3,V2,V0) | P_addition-{T}(V3,V2,V1)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #128: mergings( V0 == V2, V2 == V4, V4 == V8, V1 == V5, V5 == V6, V6 == V7, V7 == V9; #120 ), references = 1, size of lhs = 3:
% 4.72/4.90     pppp0-{F}(V0), P_zero-{F}(V0), P_one-{F}(V1) | pppp2-{T}(V0,V1)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #137: exists( #35, #1 ), references = 1, size of lhs = 3:
% 4.72/4.90     P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V0,V4), P_addition-{F}(V4,V1,V5) | P_addition-{T}(V3,V2,V5)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #156: mergings( V0 == V4, V4 == V6, V6 == V7, V7 == V8, V1 == V2, V2 == V5, V5 == V9; #148 ), references = 1, size of lhs = 3:
% 4.72/4.90     pppp0-{F}(V0), P_one-{F}(V0), P_zero-{F}(V1) | pppp2-{T}(V0,V1)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #174: exists( #37, #7 ), references = 3, size of lhs = 6:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V5,V2,V6), P_multiplication-{F}(V5,V3,V7), P_addition-{F}(V6,V7,V8) | P_multiplication-{T}(V5,V4,V8)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #178: exists( #37, #8 ), references = 1, size of lhs = 6:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V2,V5,V6), P_multiplication-{F}(V3,V5,V7), P_addition-{F}(V6,V7,V8) | P_multiplication-{T}(V4,V5,V8)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #200: exists( #37, #99 ), references = 3, size of lhs = 4:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4) | P_multiplication-{T}(V2,V3,V0)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #208: mergings( V3 == V5; #204 ), references = 3, size of lhs = 3:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | P_multiplication-{T}(V3,V2,V0)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #211: mergings( V3 == V5, V4 == V6; #206 ), references = 1, size of lhs = 5:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_addition-{F}(V2,V3,V4), V4 == V1 | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #218: mergings( V5 == V6; #216 ), references = 2, size of lhs = 5:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), pppp5-{F}(V1,V3,V2,V4), P_multiplication-{F}(V2,V4,V0) | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #222: mergings( V4 == V0; #220 ), references = 2, size of lhs = 4:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), pppp6-{F}(V1,V0,V2), P_multiplication-{F}(V0,V2,V0) | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #226: mergings( V0 == V3; #224 ), references = 1, size of lhs = 4:
% 4.72/4.90     pppp7-{F}(V0), P_one-{F}(V0), P_c-{F}(V0,V1), P_zero-{F}(V1) | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #230: exists( #32, #228 ), references = 2, size of lhs = 9:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V2,V3), P_multiplication-{F}(V0,V3,V4), P_multiplication-{F}(V5,V6,V2), pppp5-{F}(V0,V7,V5,V6), P_multiplication-{F}(V5,V7,V8), P_addition-{F}(V4,V8,V9), P_addition-{F}(V0,V8,V9) | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #239: mergings( V4 == V0, V1 == V5, V5 == V6; #235 ), references = 2, size of lhs = 5:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), pppp6-{F}(V0,V1,V2), P_multiplication-{F}(V1,V2,V3), P_addition-{F}(V0,V3,V4) | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #245: mergings( V0 == V3; #243 ), references = 1, size of lhs = 4:
% 4.72/4.90     pppp7-{F}(V0), P_zero-{F}(V0), P_c-{F}(V0,V1), P_one-{F}(V1) | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #265: mergings( V0 == V4, V4 == V8, V8 == V10, V10 == V12, V1 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13; #254 ), references = 2, size of lhs = 5:
% 4.72/4.90     pppp0-{F}(V0), test-{F}(V0), P_zero-{F}(V1), P_one-{F}(V2), P_c-{F}(V0,V3) | pppp2-{T}(V0,V3)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #271: mergings( V3 == V4; #268 ), references = 3, size of lhs = 5:
% 4.72/4.90     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)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #273: mergings( V3 == V4; #269 ), references = 2, size of lhs = 5:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_addition-{F}(V4,V2,V5), P_multiplication-{F}(V5,V3,V6) | P_multiplication-{T}(V4,V3,V6)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #276: exists( #35, #274 ), references = 5, size of lhs = 6:
% 4.72/4.90     P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V3,V4), pppp4-{F}(V1,V5,V3,V0,V6), P_multiplication-{F}(V5,V6,V7), P_addition-{F}(V7,V2,V8), P_multiplication-{F}(V5,V8,V7) | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #282: exists( #35, #7 ), references = 2, size of lhs = 6:
% 4.72/4.90     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)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #283: exists( #35, #8 ), references = 1, size of lhs = 6:
% 4.72/4.90     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)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #297: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V5 == V7, V7 == V9, V9 == V11; #289 ), references = 1, size of lhs = 11:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V1), P_multiplication-{F}(V3,V4,V0), P_multiplication-{F}(V2,V5,V4), P_multiplication-{F}(V3,V6,V0), P_multiplication-{F}(V2,V7,V6), P_addition-{F}(V8,V5,V7), P_multiplication-{F}(V9,V10,V0), pppp4-{F}(V10,V2,V11,V9,V8), P_multiplication-{F}(V9,V11,V12) | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #301: exists( #37, #4 ), references = 4, size of lhs = 4:
% 4.72/4.90     P_zero-{F}(V0), P_multiplication-{F}(V1,V2,V3), P_multiplication-{F}(V4,V1,V5), P_multiplication-{F}(V5,V2,V6) | P_multiplication-{T}(V4,V3,V6)
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #306: mergings( V3 == V4; #304 ), references = 1, size of lhs = 5:
% 4.72/4.90     P_zero-{F}(V0), P_multiplication-{F}(V1,V1,V1), P_multiplication-{F}(V2,V3,V0), P_multiplication-{F}(V2,V4,V5), pppp4-{F}(V3,V1,V4,V2,V6) | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #309: mergings( V5 == V6; #307 ), references = 1, size of lhs = 5:
% 4.72/4.90     P_zero-{F}(V0), P_multiplication-{F}(V1,V1,V1), P_multiplication-{F}(V2,V3,V0), pppp5-{F}(V1,V4,V2,V3), P_multiplication-{F}(V2,V4,V5) | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #322: exists( #35, #318 ), references = 2, size of lhs = 9:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V5,V4,V6), pppp4-{F}(V3,V5,V7,V2,V8), P_multiplication-{F}(V5,V8,V9), P_multiplication-{F}(V5,V9,V10), P_addition-{F}(V6,V10,V9), P_multiplication-{F}(V2,V7,V11) | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #323: exists( #35, #319 ), references = 1, size of lhs = 9:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V2,V5,V4), P_multiplication-{F}(V6,V4,V7), pppp4-{F}(V3,V6,V5,V2,V8), P_multiplication-{F}(V6,V8,V9), P_multiplication-{F}(V6,V9,V10), P_addition-{F}(V7,V10,V9) | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #340: mergings( V3 == V4, V4 == V5; #336 ), references = 1, size of lhs = 7:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V2,V2), P_multiplication-{F}(V2,V3,V0), P_multiplication-{F}(V4,V5,V3), pppp4-{F}(V5,V2,V6,V4,V7), P_multiplication-{F}(V4,V6,V8) | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #345: mergings( V5 == V6, V6 == V7; #341 ), references = 3, size of lhs = 7:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V2,V2), P_multiplication-{F}(V2,V3,V0), P_multiplication-{F}(V4,V5,V3), pppp5-{F}(V2,V6,V4,V5), P_multiplication-{F}(V4,V6,V7) | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #367: mergings( V3 == V4; #363 ), references = 2, size of lhs = 7:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V2,V2), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V4,V5,V0), pppp5-{F}(V2,V6,V3,V5), P_multiplication-{F}(V3,V6,V7) | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #369: mergings( V3 == V4; #364 ), references = 1, size of lhs = 6:
% 4.72/4.90     P_zero-{F}(V0), P_multiplication-{F}(V1,V2,V0), P_multiplication-{F}(V3,V4,V1), P_multiplication-{F}(V3,V5,V0), pppp4-{F}(V2,V3,V6,V4,V5), P_multiplication-{F}(V4,V6,V7) | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #374: mergings( V5 == V6, V4 == V7; #371 ), references = 2, size of lhs = 6:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V2,V2), P_multiplication-{F}(V2,V3,V0), pppp6-{F}(V2,V3,V4), P_multiplication-{F}(V3,V4,V5) | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #393: exists( #37, #374 ), references = 1, size of lhs = 5:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V2,V2), P_multiplication-{F}(V2,V3,V0), pppp6-{F}(V2,V3,V4) | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #394: exists( #37, #345 ), references = 1, size of lhs = 6:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V2,V2), P_multiplication-{F}(V2,V3,V0), P_multiplication-{F}(V4,V5,V3), pppp5-{F}(V2,V6,V4,V5) | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #395: exists( #37, #367 ), references = 1, size of lhs = 6:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V2,V2), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V4,V5,V0), pppp5-{F}(V2,V6,V3,V5) | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #397: exists( #29, #390 ), references = 2, size of lhs = 6:
% 4.72/4.90     pppp7-{F}(V0), P_multiplication-{F}(V0,V0,V0), P_c-{F}(V0,V1), P_zero-{F}(V2), P_multiplication-{F}(V0,V1,V2), P_one-{F}(V3) | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #435: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V16, V3 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V17; #420 ), references = 1, size of lhs = 4:
% 4.72/4.90     pppp7-{F}(V0), P_zero-{F}(V1), P_one-{F}(V2), P_multiplication-{F}(V0,V2,V0) | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #455: mergings( V0 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V18, V1 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V19; #437 ), references = 1, size of lhs = 2:
% 4.72/4.90     P_zero-{F}(V0), P_one-{F}(V1) | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #464: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #456 ), references = 1, size of lhs = 1:
% 4.72/4.90     P_zero-{F}(V0) | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  #466: exists( #36, #456 ), references = 1, size of lhs = 0:
% 4.72/4.90     FALSE | FALSE
% 4.72/4.90        (used 0 times, uses = {})
% 4.72/4.90  
% 4.72/4.90  number of learnt formulas = 52
% 4.72/4.90  
% 4.72/4.90  
% 4.72/4.90  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.72/4.90  
% 4.72/4.90  randbase = 1
%------------------------------------------------------------------------------