TSTP Solution File: KLE081+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : KLE081+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n020.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 06:07:05 EDT 2022

% Result   : Theorem 18.73s 18.90s
% Output   : Refutation 18.73s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : KLE081+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33  % Computer : n020.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Fri Jul 22 16:58:09 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 18.73/18.90  GeoParameters:
% 18.73/18.90  
% 18.73/18.90  tptp_input =     1
% 18.73/18.90  tptp_output =    0
% 18.73/18.90  nonempty =       1
% 18.73/18.90  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.73/18.90  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 18.73/18.90  
% 18.73/18.90  
% 18.73/18.90  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.73/18.90  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.73/18.90  
% 18.73/18.90  RuleSystem INPUT:
% 18.73/18.90  
% 18.73/18.90  Initial Rules:
% 18.73/18.90  #0: input, references = 4, size of lhs = 3:
% 18.73/18.90     P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #1: input, references = 4, size of lhs = 5:
% 18.73/18.90     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
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #2: input, references = 4, size of lhs = 3:
% 18.73/18.90     P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #3: input, references = 4, size of lhs = 3:
% 18.73/18.90     P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #4: input, references = 5, size of lhs = 6:
% 18.73/18.90     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
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #5: input, references = 4, size of lhs = 4:
% 18.73/18.90     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #6: input, references = 4, size of lhs = 4:
% 18.73/18.90     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #7: input, references = 9, size of lhs = 8:
% 18.73/18.90     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
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #8: input, references = 7, size of lhs = 8:
% 18.73/18.90     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
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #9: input, references = 4, size of lhs = 4:
% 18.73/18.90     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #10: input, references = 4, size of lhs = 4:
% 18.73/18.90     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #11: input, references = 3, size of lhs = 5:
% 18.73/18.90     P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #12: input, references = 3, size of lhs = 3:
% 18.73/18.90     P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #13: input, references = 7, size of lhs = 6:
% 18.73/18.90     P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4), P_addition-{F}(V2,V4,V5), V5 == V4 | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #14: input, references = 5, size of lhs = 8:
% 18.73/18.90     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_domain-{F}(V4,V5), P_domain-{F}(V3,V6), P_multiplication-{F}(V2,V6,V7), P_domain-{F}(V7,V8), V5 == V8 | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #15: input, references = 4, size of lhs = 5:
% 18.73/18.90     P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_addition-{F}(V3,V1,V4), V4 == V1 | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #16: input, references = 4, size of lhs = 4:
% 18.73/18.90     P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), V2 == V0 | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #17: input, references = 4, size of lhs = 9:
% 18.73/18.90     P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_addition-{F}(V3,V4,V5), P_domain-{F}(V5,V6), P_domain-{F}(V3,V7), P_domain-{F}(V4,V8), P_addition-{F}(V7,V8,V9), V6 == V9 | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #18: input, references = 4, size of lhs = 8:
% 18.73/18.90     P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V4), P_antidomain-{F}(V3,V5), P_addition-{F}(V4,V5,V6), P_multiplication-{F}(V4,V5,V7), V6 == V1 | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #19: input, references = 4, size of lhs = 8:
% 18.73/18.90     P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V4), P_antidomain-{F}(V3,V5), P_addition-{F}(V4,V5,V6), P_multiplication-{F}(V4,V5,V7), V7 == V0 | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #20: input, references = 4, size of lhs = 3:
% 18.73/18.90     P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2) | EXISTS V3: pppp0-{T}(V0,V3)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #21: input, references = 5, size of lhs = 3:
% 18.73/18.90     pppp0-{F}(V0,V1), P_antidomain-{F}(V1,V2), P_multiplication-{F}(V2,V1,V0) | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #22: input, references = 11, size of lhs = 2:
% 18.73/18.90     #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #23: input, references = 4, size of lhs = 0:
% 18.73/18.90     FALSE | EXISTS V0: P_zero-{T}(V0)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #24: input, references = 15, size of lhs = 2:
% 18.73/18.90     #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #25: input, references = 4, size of lhs = 0:
% 18.73/18.90     FALSE | EXISTS V0: P_one-{T}(V0)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #26: input, references = 10, size of lhs = 1:
% 18.73/18.90     #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #27: input, references = 10, size of lhs = 1:
% 18.73/18.90     #-{F} V0 | EXISTS V1: P_antidomain-{T}(V0,V1)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  number of initial rules = 28
% 18.73/18.90  
% 18.73/18.90  Simplifiers:
% 18.73/18.90  #28: unsound, references = 3, size of lhs = 3:
% 18.73/18.90     P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #29: unsound, references = 3, size of lhs = 3:
% 18.73/18.90     P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #30: unsound, references = 3, size of lhs = 3:
% 18.73/18.90     P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #31: unsound, references = 3, size of lhs = 3:
% 18.73/18.90     P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #32: unsound, references = 3, size of lhs = 3:
% 18.73/18.90     P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #33: unsound, references = 3, size of lhs = 3:
% 18.73/18.90     P_antidomain-{F}(V0,V1), P_antidomain-{F}(V0,V3), V1 == V3 | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #34: unsound, references = 3, size of lhs = 3:
% 18.73/18.90     pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #35: unsound, references = 3, size of lhs = 3:
% 18.73/18.90     pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  number of simplifiers = 8
% 18.73/18.90  
% 18.73/18.90  Learnt:
% 18.73/18.90  #37: exists( #26, #16 ), references = 2, size of lhs = 2:
% 18.73/18.90     P_zero-{F}(V0), P_one-{F}(V1) | P_domain-{T}(V0,V0)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #39: exists( #24, #5 ), references = 9, size of lhs = 3:
% 18.73/18.90     P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #42: exists( #22, #3 ), references = 3, size of lhs = 2:
% 18.73/18.90     P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #45: exists( #24, #9 ), references = 1, size of lhs = 3:
% 18.73/18.90     P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #47: exists( #24, #10 ), references = 3, size of lhs = 3:
% 18.73/18.90     P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #49: exists( #24, #18 ), references = 3, size of lhs = 7:
% 18.73/18.90     P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V4), P_antidomain-{F}(V3,V5), P_addition-{F}(V4,V5,V6), V6 == V1 | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #51: exists( #22, #2 ), references = 7, size of lhs = 2:
% 18.73/18.90     P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #54: exists( #22, #0 ), references = 15, size of lhs = 1:
% 18.73/18.90     P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #60: mergings( V2 == V3; #58 ), references = 1, size of lhs = 4:
% 18.73/18.90     P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V0) | P_antidomain-{T}(V3,V1)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #62: exists( #22, #15 ), references = 4, size of lhs = 3:
% 18.73/18.90     P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3) | P_addition-{T}(V3,V1,V1)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #65: exists( #24, #6 ), references = 10, size of lhs = 3:
% 18.73/18.90     P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #67: mergings( V7 == V4; #64 ), references = 10, size of lhs = 6:
% 18.73/18.90     P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V4), P_antidomain-{F}(V3,V5), P_addition-{F}(V4,V5,V1) | P_multiplication-{T}(V4,V5,V0)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #69: exists( #22, #1 ), references = 3, size of lhs = 3:
% 18.73/18.90     P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V2,V4), P_addition-{F}(V3,V0,V5) | P_addition-{T}(V5,V1,V4)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #72: exists( #22, #7 ), references = 5, size of lhs = 6:
% 18.73/18.90     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)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #73: exists( #22, #8 ), references = 4, size of lhs = 6:
% 18.73/18.90     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)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #83: mergings( V3 == V5, V4 == V6; #80 ), references = 2, size of lhs = 6:
% 18.73/18.90     P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V3,V4,V2), P_addition-{F}(V2,V4,V5), P_multiplication-{F}(V3,V5,V6) | P_multiplication-{T}(V3,V2,V6)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #89: exists( #22, #49 ), references = 8, size of lhs = 5:
% 18.73/18.90     P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V4), P_antidomain-{F}(V3,V5) | P_addition-{T}(V4,V5,V1)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #95: exists( #26, #14 ), references = 1, size of lhs = 6:
% 18.73/18.90     P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V4,V2,V5), P_multiplication-{F}(V4,V3,V6), P_domain-{F}(V6,V7) | P_domain-{T}(V5,V7)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #104: mergings( V3 == V4; #101 ), references = 3, size of lhs = 5:
% 18.73/18.90     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)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #106: mergings( V3 == V4; #102 ), references = 8, size of lhs = 5:
% 18.73/18.90     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)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #137: mergings( V2 == V3, V3 == V5, V5 == V8, V8 == V10, V10 == V12, V4 == V7, V7 == V11, V11 == V13, V6 == V9; #125 ), references = 2, size of lhs = 7:
% 18.73/18.90     P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), P_addition-{F}(V5,V4,V2), P_multiplication-{F}(V5,V4,V0), P_multiplication-{F}(V5,V2,V6) | P_antidomain-{T}(V3,V6)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #147: mergings( V2 == V4, V4 == V6, V6 == V9, V9 == V10, V10 == V12, V3 == V7, V7 == V11, V11 == V13, V5 == V8; #126 ), references = 1, size of lhs = 8:
% 18.73/18.90     P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), P_multiplication-{F}(V5,V4,V0), P_addition-{F}(V5,V4,V2), P_multiplication-{F}(V5,V2,V6), P_addition-{F}(V6,V0,V7) | P_antidomain-{T}(V3,V7)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #160: mergings( V2 == V4, V4 == V6, V6 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V3 == V5, V5 == V8, V8 == V11, V11 == V15, V7 == V13; #127 ), references = 1, size of lhs = 8:
% 18.73/18.90     P_one-{F}(V0), P_zero-{F}(V1), P_domain-{F}(V1,V2), P_domain-{F}(V3,V4), P_multiplication-{F}(V5,V4,V1), P_addition-{F}(V5,V4,V0), P_multiplication-{F}(V5,V0,V6), P_multiplication-{F}(V6,V0,V7) | P_antidomain-{T}(V3,V7)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #171: exists( #26, #14 ), references = 4, size of lhs = 6:
% 18.73/18.90     P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V4,V2,V5), P_domain-{F}(V5,V6), P_multiplication-{F}(V4,V3,V7) | P_domain-{T}(V7,V6)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #185: exists( #22, #17 ), references = 3, size of lhs = 7:
% 18.73/18.90     P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V4), P_addition-{F}(V3,V5,V6), P_domain-{F}(V6,V7), P_domain-{F}(V5,V8) | P_addition-{T}(V4,V8,V7)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #213: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20; #196 ), references = 2, size of lhs = 15:
% 18.73/18.90     P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V0), P_domain-{F}(V3,V4), P_addition-{F}(V4,V5,V1), P_multiplication-{F}(V6,V3,V0), P_multiplication-{F}(V7,V3,V2), P_multiplication-{F}(V8,V5,V0), P_multiplication-{F}(V9,V5,V0), P_multiplication-{F}(V10,V11,V6), P_multiplication-{F}(V12,V11,V7), P_addition-{F}(V13,V10,V12), P_multiplication-{F}(V13,V14,V8), P_addition-{F}(V11,V14,V15), P_multiplication-{F}(V13,V15,V9) | P_multiplication-{T}(V13,V11,V0)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #239: mergings( V2 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V20, V20 == V22, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V16, V16 == V19, V19 == V21, V21 == V23, V3 == V18; #219 ), references = 1, size of lhs = 17:
% 18.73/18.90     P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), pppp0-{F}(V0,V3), P_antidomain-{F}(V3,V4), P_multiplication-{F}(V4,V2,V4), P_domain-{F}(V5,V0), P_multiplication-{F}(V4,V6,V4), P_addition-{F}(V4,V7,V7), P_addition-{F}(V3,V7,V6), P_domain-{F}(V8,V7), P_domain-{F}(V9,V7), P_multiplication-{F}(V10,V9,V0), P_multiplication-{F}(V11,V3,V10), P_addition-{F}(V4,V11,V12), P_multiplication-{F}(V12,V3,V13), P_multiplication-{F}(V13,V9,V5) | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #274: mergings( V2 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V26, V26 == V29, V29 == V31, V3 == V5, V5 == V8, V8 == V10, V10 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V25, V25 == V28, V28 == V30, V30 == V32, V6 == V12, V12 == V27; #245 ), references = 1, size of lhs = 19:
% 18.73/18.90     P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), pppp0-{F}(V0,V3), P_domain-{F}(V4,V3), P_antidomain-{F}(V3,V5), P_multiplication-{F}(V5,V2,V5), P_multiplication-{F}(V3,V6,V0), P_addition-{F}(V6,V2,V2), P_domain-{F}(V7,V0), P_multiplication-{F}(V5,V8,V5), P_multiplication-{F}(V8,V6,V5), P_domain-{F}(V9,V8), P_addition-{F}(V4,V10,V9), P_multiplication-{F}(V11,V10,V0), P_multiplication-{F}(V12,V3,V11), P_addition-{F}(V5,V12,V13), P_multiplication-{F}(V13,V3,V14), P_multiplication-{F}(V14,V10,V7) | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #318: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V10, V10 == V14, V14 == V16, V16 == V20, V20 == V21, V21 == V23, V23 == V25, V25 == V28, V28 == V31, V31 == V34, V34 == V36, V8 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V19, V19 == V22, V22 == V24, V24 == V27, V27 == V29, V29 == V30, V30 == V33, V33 == V35, V35 == V37, V6 == V12, V12 == V17, V17 == V36, V36 == V26, V26 == V32; #283 ), references = 1, size of lhs = 8:
% 18.73/18.90     P_zero-{F}(V0), P_domain-{F}(V0,V0), P_one-{F}(V1), P_domain-{F}(V1,V1), pppp0-{F}(V0,V2), P_multiplication-{F}(V2,V2,V2), P_multiplication-{F}(V1,V2,V2), P_domain-{F}(V2,V2) | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #353: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V10, V10 == V13, V13 == V15, V15 == V17, V20 == V22, V4 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V8 == V11; #337 ), references = 1, size of lhs = 9:
% 18.73/18.90     P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_addition-{F}(V2,V3,V2), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V5,V2,V4), P_multiplication-{F}(V6,V3,V0), P_addition-{F}(V5,V6,V2), P_domain-{F}(V7,V6) | P_antidomain-{T}(V7,V4)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #356: exists( #24, #7 ), references = 1, size of lhs = 6:
% 18.73/18.90     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)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #361: mergings( V3 == V5, V4 == V6; #358 ), references = 1, size of lhs = 7:
% 18.73/18.90     P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3), P_addition-{F}(V4,V3,V5), P_multiplication-{F}(V5,V6,V7), P_multiplication-{F}(V4,V6,V8), P_multiplication-{F}(V2,V6,V8) | P_multiplication-{T}(V3,V6,V7)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #363: exists( #24, #4 ), references = 2, size of lhs = 4:
% 18.73/18.90     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)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #376: mergings( V2 == V4, V4 == V7, V6 == V8, V3 == V5; #371 ), references = 1, size of lhs = 19:
% 18.73/18.90     P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V0), P_domain-{F}(V4,V5), P_domain-{F}(V6,V5), P_multiplication-{F}(V7,V6,V0), P_multiplication-{F}(V8,V6,V3), P_multiplication-{F}(V9,V10,V7), P_multiplication-{F}(V11,V10,V8), P_addition-{F}(V12,V9,V11), P_multiplication-{F}(V12,V13,V5), P_addition-{F}(V10,V13,V14), P_multiplication-{F}(V12,V14,V5), P_addition-{F}(V10,V15,V16), P_multiplication-{F}(V12,V16,V17), P_multiplication-{F}(V12,V15,V18), P_addition-{F}(V0,V18,V19), V17 == V19 | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #410: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V21, V21 == V24, V30 == V31, V24 == V26, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V18, V18 == V23, V23 == V25, V11 == V16, V16 == V20, V20 == V22, V22 == V26; #385 ), references = 2, size of lhs = 16:
% 18.73/18.90     P_zero-{F}(V0), P_domain-{F}(V0,V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V2), P_domain-{F}(V3,V1), P_addition-{F}(V4,V2,V3), P_domain-{F}(V4,V5), P_multiplication-{F}(V1,V5,V6), P_multiplication-{F}(V6,V2,V0), P_addition-{F}(V5,V7,V1), P_multiplication-{F}(V8,V7,V0), P_domain-{F}(V9,V8), P_addition-{F}(V2,V9,V10), P_domain-{F}(V10,V11), P_multiplication-{F}(V11,V7,V12), P_addition-{F}(V0,V12,V13) | P_domain-{T}(V2,V13)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #421: mergings( V3 == V5, V4 == V6; #418 ), references = 1, size of lhs = 6:
% 18.73/18.90     P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V3), P_domain-{F}(V3,V4), P_addition-{F}(V4,V2,V5), P_multiplication-{F}(V5,V3,V6) | P_multiplication-{T}(V4,V3,V6)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #441: mergings( V2 == V3, V3 == V5, V5 == V8, V8 == V11, V4 == V11, V11 == V6, V6 == V7, V7 == V10; #432 ), references = 1, size of lhs = 11:
% 18.73/18.90     P_one-{F}(V0), P_domain-{F}(V0,V0), P_zero-{F}(V1), P_domain-{F}(V1,V1), P_multiplication-{F}(V0,V2,V2), P_multiplication-{F}(V2,V0,V2), P_domain-{F}(V2,V2), P_domain-{F}(V3,V2), P_multiplication-{F}(V2,V4,V3), P_multiplication-{F}(V1,V4,V5), pppp0-{F}(V5,V3) | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #466: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V13, V13 == V15, V15 == V18, V18 == V21, V4 == V7, V7 == V9, V9 == V11, V11 == V19, V14 == V21, V21 == V16, V16 == V17, V17 == V20; #447 ), references = 1, size of lhs = 7:
% 18.73/18.90     P_one-{F}(V0), P_domain-{F}(V0,V0), P_zero-{F}(V1), P_domain-{F}(V1,V1), P_multiplication-{F}(V0,V2,V2), P_multiplication-{F}(V1,V2,V3), pppp0-{F}(V3,V2) | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #491: mergings( V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V0, V0 == V23, V1 == V4, V4 == V10, V10 == V12, V12 == V14, V14 == V21, V17 == V23, V23 == V19, V19 == V20, V20 == V2, V2 == V22; #469 ), references = 2, size of lhs = 4:
% 18.73/18.90     P_one-{F}(V0), P_domain-{F}(V0,V0), P_zero-{F}(V1), P_domain-{F}(V1,V1) | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #501: mergings( V2 == V3, V3 == V4, V0 == V5; #497 ), references = 1, size of lhs = 2:
% 18.73/18.90     P_zero-{F}(V0), P_one-{F}(V1) | P_domain-{T}(V1,V1)
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #508: mergings( V1 == V2, V2 == V3, V3 == V4; #504 ), references = 1, size of lhs = 1:
% 18.73/18.90     P_zero-{F}(V0) | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  #510: exists( #23, #504 ), references = 1, size of lhs = 0:
% 18.73/18.90     FALSE | FALSE
% 18.73/18.90        (used 0 times, uses = {})
% 18.73/18.90  
% 18.73/18.90  number of learnt formulas = 42
% 18.73/18.90  
% 18.73/18.90  
% 18.73/18.90  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.73/18.90  
% 18.73/18.90  randbase = 1
%------------------------------------------------------------------------------