TSTP Solution File: KRS081+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : KRS081+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n026.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 06:07:24 EDT 2022

% Result   : Unsatisfiable 0.19s 0.44s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : KRS081+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n026.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 10:37:35 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  GeoParameters:
% 0.19/0.44  
% 0.19/0.44  tptp_input =     1
% 0.19/0.44  tptp_output =    0
% 0.19/0.44  nonempty =       1
% 0.19/0.44  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44  
% 0.19/0.44  RuleSystem INPUT:
% 0.19/0.44  
% 0.19/0.44  Initial Rules:
% 0.19/0.44  #0: input, references = 3, size of lhs = 1:
% 0.19/0.44     #-{F} V0 | cowlThing-{T}(V0)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #1: input, references = 3, size of lhs = 1:
% 0.19/0.44     cowlNothing-{F}(V0) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #2: input, references = 3, size of lhs = 2:
% 0.19/0.44     xsd_string-{F}(V0), xsd_integer-{F}(V0) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #3: input, references = 3, size of lhs = 1:
% 0.19/0.44     #-{F} V0 | xsd_string-{T}(V0), xsd_integer-{T}(V0)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #4: input, references = 4, size of lhs = 1:
% 0.19/0.44     cUnsatisfiable-{F}(V0) | pppp0-{T}(V0)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #5: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp0-{F}(V0) | cUnsatisfiable-{T}(V0)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #6: input, references = 4, size of lhs = 1:
% 0.19/0.44     pppp0-{F}(V0) | pppp10-{T}(V0)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #7: input, references = 3, size of lhs = 22:
% 0.19/0.44     rr-{F}(V0,V1), cp3-{F}(V1), rr-{F}(V0,V2), cp4-{F}(V2), cp-{F}(V2), rr-{F}(V0,V3), cp4-{F}(V3), rr-{F}(V0,V4), cp2-{F}(V4), cp-{F}(V4), rr-{F}(V0,V5), cp5-{F}(V5), rr-{F}(V0,V6), cp-{F}(V6), cp3-{F}(V6), rr-{F}(V0,V7), cp1-{F}(V7), rr-{F}(V0,V8), cp1-{F}(V8), cp-{F}(V8), rr-{F}(V0,V9), cp2-{F}(V9) | pppp0-{T}(V0), pppp18-{T}(V0)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #8: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp18-{F}(V0) | EXISTS V1: pppp17-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #9: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp17-{F}(V0,V1) | EXISTS V2: pppp16-{T}(V0,V2,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #10: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp17-{F}(V0,V1) | rr-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #11: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp16-{F}(V0,V1,V2) | EXISTS V3: pppp15-{T}(V0,V3,V1,V2)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #12: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp16-{F}(V0,V2,V2) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #13: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp16-{F}(V0,V1,V2) | rr-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #14: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp15-{F}(V0,V1,V2,V3) | EXISTS V4: pppp14-{T}(V0,V1,V2,V3,V4)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #15: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp15-{F}(V0,V3,V2,V3) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #16: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp15-{F}(V0,V2,V2,V3) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #17: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp15-{F}(V0,V1,V2,V3) | rr-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #18: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp14-{F}(V0,V1,V2,V3,V4) | pppp13-{T}(V0,V4,V1,V2,V3)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #19: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp13-{F}(V0,V1,V2,V3,V4) | EXISTS V5: pppp12-{T}(V0,V1,V2,V3,V4,V5)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #20: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp13-{F}(V0,V4,V2,V3,V4) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #21: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp13-{F}(V0,V3,V2,V3,V4) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #22: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp13-{F}(V0,V2,V2,V3,V4) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #23: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp13-{F}(V0,V1,V2,V3,V4) | rr-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #24: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp12-{F}(V0,V1,V2,V3,V4,V5) | pppp11-{T}(V0,V5,V1,V2,V3,V4)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #25: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp11-{F}(V0,V5,V2,V3,V4,V5) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #26: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp11-{F}(V0,V4,V2,V3,V4,V5) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #27: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp11-{F}(V0,V3,V2,V3,V4,V5) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #28: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp11-{F}(V0,V2,V2,V3,V4,V5) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #29: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp11-{F}(V0,V1,V2,V3,V4,V5) | rr-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #30: input, references = 4, size of lhs = 1:
% 0.19/0.44     pppp10-{F}(V0) | EXISTS V1: pppp9-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #31: input, references = 4, size of lhs = 1:
% 0.19/0.44     pppp10-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #32: input, references = 4, size of lhs = 16:
% 0.19/0.44     pppp10-{F}(V0), rr-{F}(V0,V1), rr-{F}(V0,V2), rr-{F}(V0,V3), rr-{F}(V0,V4), rr-{F}(V0,V5), V2 == V1, V3 == V2, V3 == V1, V4 == V3, V4 == V2, V4 == V1, V5 == V4, V5 == V3, V5 == V2, V5 == V1 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #33: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp10-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #34: input, references = 4, size of lhs = 1:
% 0.19/0.44     pppp10-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #35: input, references = 4, size of lhs = 1:
% 0.19/0.44     pppp10-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #36: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp10-{F}(V0) | EXISTS V1: pppp4-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #37: input, references = 4, size of lhs = 1:
% 0.19/0.44     pppp10-{F}(V0) | EXISTS V1: pppp3-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #38: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp10-{F}(V0) | EXISTS V1: pppp2-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #39: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp10-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #40: input, references = 4, size of lhs = 1:
% 0.19/0.44     pppp9-{F}(V0,V1) | cp2-{T}(V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #41: input, references = 4, size of lhs = 1:
% 0.19/0.44     pppp9-{F}(V0,V1) | rr-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #42: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp8-{F}(V0,V1) | cp-{T}(V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #43: input, references = 5, size of lhs = 1:
% 0.19/0.44     pppp8-{F}(V0,V1) | cp1-{T}(V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #44: input, references = 4, size of lhs = 1:
% 0.19/0.44     pppp8-{F}(V0,V1) | rr-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #45: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp7-{F}(V0,V1) | cp1-{T}(V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #46: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp7-{F}(V0,V1) | rr-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #47: input, references = 6, size of lhs = 1:
% 0.19/0.44     pppp6-{F}(V0,V1) | cp3-{T}(V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #48: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp6-{F}(V0,V1) | cp-{T}(V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #49: input, references = 4, size of lhs = 1:
% 0.19/0.44     pppp6-{F}(V0,V1) | rr-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #50: input, references = 7, size of lhs = 1:
% 0.19/0.44     pppp5-{F}(V0,V1) | cp5-{T}(V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #51: input, references = 4, size of lhs = 1:
% 0.19/0.44     pppp5-{F}(V0,V1) | rr-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #52: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp4-{F}(V0,V1) | cp-{T}(V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #53: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp4-{F}(V0,V1) | cp2-{T}(V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #54: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp4-{F}(V0,V1) | rr-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #55: input, references = 7, size of lhs = 1:
% 0.19/0.44     pppp3-{F}(V0,V1) | cp4-{T}(V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #56: input, references = 4, size of lhs = 1:
% 0.19/0.44     pppp3-{F}(V0,V1) | rr-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #57: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp2-{F}(V0,V1) | cp-{T}(V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #58: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp2-{F}(V0,V1) | cp4-{T}(V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #59: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp2-{F}(V0,V1) | rr-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #60: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp1-{F}(V0,V1) | cp3-{T}(V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #61: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp1-{F}(V0,V1) | rr-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #62: input, references = 4, size of lhs = 2:
% 0.19/0.44     cp1-{F}(V0), cp2-{F}(V0) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #63: input, references = 4, size of lhs = 2:
% 0.19/0.44     cp1-{F}(V0), cp4-{F}(V0) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #64: input, references = 4, size of lhs = 2:
% 0.19/0.44     cp1-{F}(V0), cp5-{F}(V0) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #65: input, references = 4, size of lhs = 2:
% 0.19/0.44     cp1-{F}(V0), cp3-{F}(V0) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #66: input, references = 4, size of lhs = 2:
% 0.19/0.44     cp2-{F}(V0), cp4-{F}(V0) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #67: input, references = 4, size of lhs = 2:
% 0.19/0.44     cp2-{F}(V0), cp5-{F}(V0) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #68: input, references = 4, size of lhs = 2:
% 0.19/0.44     cp2-{F}(V0), cp3-{F}(V0) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #69: input, references = 4, size of lhs = 2:
% 0.19/0.44     cp3-{F}(V0), cp4-{F}(V0) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #70: input, references = 4, size of lhs = 2:
% 0.19/0.44     cp3-{F}(V0), cp5-{F}(V0) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #71: input, references = 4, size of lhs = 2:
% 0.19/0.44     cp4-{F}(V0), cp5-{F}(V0) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #72: input, references = 4, size of lhs = 1:
% 0.19/0.44     P_i2003_11_14_17_19_24236-{F}(V0) | cUnsatisfiable-{T}(V0)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #73: input, references = 4, size of lhs = 0:
% 0.19/0.44     FALSE | EXISTS V0: P_i2003_11_14_17_19_24236-{T}(V0)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  number of initial rules = 74
% 0.19/0.44  
% 0.19/0.44  Simplifiers:
% 0.19/0.44  #74: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     cUnsatisfiable-{F}(V0), cUnsatisfiable-{F}(V1), V0 == V1 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #75: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     rr-{F}(V0,V1), rr-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #76: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #77: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     P_i2003_11_14_17_19_24236-{F}(V0), P_i2003_11_14_17_19_24236-{F}(V1), V0 == V1 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #78: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #79: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #80: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #81: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp2-{F}(V0,V1), pppp2-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #82: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #83: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp3-{F}(V0,V1), pppp3-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #84: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #85: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp4-{F}(V0,V1), pppp4-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #86: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #87: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #88: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #89: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp6-{F}(V0,V1), pppp6-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #90: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #91: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp7-{F}(V0,V1), pppp7-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #92: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #93: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp8-{F}(V0,V1), pppp8-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #94: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #95: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp9-{F}(V0,V1), pppp9-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #96: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #97: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp11-{F}(V0,V1,V2,V3,V4,V5), pppp11-{F}(V0,V7,V2,V3,V4,V5), V1 == V7 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #98: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp11-{F}(V0,V1,V2,V3,V4,V5), pppp11-{F}(V0,V7,V8,V3,V4,V5), V2 == V8 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #99: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp11-{F}(V0,V1,V2,V3,V4,V5), pppp11-{F}(V0,V7,V8,V9,V4,V5), V3 == V9 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #100: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp11-{F}(V0,V1,V2,V3,V4,V5), pppp11-{F}(V0,V7,V8,V9,V10,V5), V4 == V10 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #101: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp11-{F}(V0,V1,V2,V3,V4,V5), pppp11-{F}(V0,V7,V8,V9,V10,V11), V5 == V11 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #102: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp11-{F}(V0,V1,V2,V3,V4,V5), pppp11-{F}(V6,V7,V8,V9,V10,V11), V0 == V6 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #103: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp12-{F}(V0,V1,V2,V3,V4,V5), pppp12-{F}(V0,V1,V2,V3,V4,V11), V5 == V11 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #104: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp12-{F}(V0,V1,V2,V3,V4,V5), pppp12-{F}(V0,V7,V2,V3,V4,V11), V1 == V7 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #105: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp12-{F}(V0,V1,V2,V3,V4,V5), pppp12-{F}(V0,V7,V8,V3,V4,V11), V2 == V8 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #106: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp12-{F}(V0,V1,V2,V3,V4,V5), pppp12-{F}(V0,V7,V8,V9,V4,V11), V3 == V9 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #107: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp12-{F}(V0,V1,V2,V3,V4,V5), pppp12-{F}(V0,V7,V8,V9,V10,V11), V4 == V10 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #108: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp12-{F}(V0,V1,V2,V3,V4,V5), pppp12-{F}(V6,V7,V8,V9,V10,V11), V0 == V6 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #109: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp13-{F}(V0,V1,V2,V3,V4), pppp13-{F}(V0,V6,V2,V3,V4), V1 == V6 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #110: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp13-{F}(V0,V1,V2,V3,V4), pppp13-{F}(V0,V6,V7,V3,V4), V2 == V7 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #111: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp13-{F}(V0,V1,V2,V3,V4), pppp13-{F}(V0,V6,V7,V8,V4), V3 == V8 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #112: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp13-{F}(V0,V1,V2,V3,V4), pppp13-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #113: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp13-{F}(V0,V1,V2,V3,V4), pppp13-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #114: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp14-{F}(V0,V1,V2,V3,V4), pppp14-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #115: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp14-{F}(V0,V1,V2,V3,V4), pppp14-{F}(V0,V6,V2,V3,V9), V1 == V6 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #116: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp14-{F}(V0,V1,V2,V3,V4), pppp14-{F}(V0,V6,V7,V3,V9), V2 == V7 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #117: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp14-{F}(V0,V1,V2,V3,V4), pppp14-{F}(V0,V6,V7,V8,V9), V3 == V8 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #118: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp14-{F}(V0,V1,V2,V3,V4), pppp14-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #119: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp15-{F}(V0,V1,V2,V3), pppp15-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #120: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp15-{F}(V0,V1,V2,V3), pppp15-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #121: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp15-{F}(V0,V1,V2,V3), pppp15-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #122: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp15-{F}(V0,V1,V2,V3), pppp15-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #123: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp16-{F}(V0,V1,V2), pppp16-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #124: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp16-{F}(V0,V1,V2), pppp16-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #125: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp16-{F}(V0,V1,V2), pppp16-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #126: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp17-{F}(V0,V1), pppp17-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #127: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp17-{F}(V0,V1), pppp17-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #128: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  number of simplifiers = 55
% 0.19/0.44  
% 0.19/0.44  Learnt:
% 0.19/0.44  #138: exists( #37, #136 ), references = 1, size of lhs = 11:
% 0.19/0.44     pppp10-{F}(V0), rr-{F}(V0,V1), rr-{F}(V0,V2), V2 == V1, rr-{F}(V0,V3), V3 == V2, V3 == V1, rr-{F}(V0,V4), V4 == V3, V4 == V2, V4 == V1 | pppp3-{T}(V0,V1), pppp3-{T}(V0,V2), pppp3-{T}(V0,V3), pppp3-{T}(V0,V4)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #142: disj( #137, #55+#66, #55+#63 ), references = 1, size of lhs = 13:
% 0.19/0.44     pppp10-{F}(V0), rr-{F}(V0,V1), cp2-{F}(V1), rr-{F}(V0,V2), V2 == V1, rr-{F}(V0,V3), V3 == V2, V3 == V1, rr-{F}(V0,V4), V4 == V3, V4 == V2, V4 == V1, cp1-{F}(V4) | pppp3-{T}(V0,V2), pppp3-{T}(V0,V3)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #145: disj( #141, #55+#69 ), references = 1, size of lhs = 14:
% 0.19/0.44     pppp10-{F}(V0), rr-{F}(V0,V1), cp2-{F}(V1), rr-{F}(V0,V2), V2 == V1, rr-{F}(V0,V3), V3 == V2, V3 == V1, cp3-{F}(V3), rr-{F}(V0,V4), V4 == V3, V4 == V2, V4 == V1, cp1-{F}(V4) | pppp3-{T}(V0,V2)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #151: exists( #35, #149 ), references = 1, size of lhs = 10:
% 0.19/0.44     pppp10-{F}(V0), rr-{F}(V0,V1), cp2-{F}(V1), rr-{F}(V0,V2), V2 == V1, cp3-{F}(V2), rr-{F}(V0,V3), V3 == V2, V3 == V1, cp1-{F}(V3) | pppp5-{T}(V0,V1), pppp5-{T}(V0,V2), pppp5-{T}(V0,V3)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #155: disj( #150, #50+#67, #50+#70 ), references = 1, size of lhs = 10:
% 0.19/0.44     pppp10-{F}(V0), rr-{F}(V0,V1), cp2-{F}(V1), rr-{F}(V0,V2), V2 == V1, cp3-{F}(V2), rr-{F}(V0,V3), V3 == V2, V3 == V1, cp1-{F}(V3) | pppp5-{T}(V0,V3)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #161: exists( #34, #159 ), references = 1, size of lhs = 6:
% 0.19/0.44     pppp10-{F}(V0), rr-{F}(V0,V1), cp2-{F}(V1), rr-{F}(V0,V2), V2 == V1, cp1-{F}(V2) | pppp6-{T}(V0,V1), pppp6-{T}(V0,V2)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #164: disj( #160, #47+#65 ), references = 1, size of lhs = 6:
% 0.19/0.44     pppp10-{F}(V0), rr-{F}(V0,V1), cp2-{F}(V1), rr-{F}(V0,V2), V2 == V1, cp1-{F}(V2) | pppp6-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #170: exists( #31, #168 ), references = 1, size of lhs = 3:
% 0.19/0.44     pppp10-{F}(V0), rr-{F}(V0,V1), cp2-{F}(V1) | pppp8-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #176: exists( #30, #174 ), references = 1, size of lhs = 1:
% 0.19/0.44     pppp10-{F}(V0) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #181: exists( #73, #179 ), references = 1, size of lhs = 0:
% 0.19/0.44     FALSE | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  number of learnt formulas = 10
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44  
% 0.19/0.44  randbase = 1
%------------------------------------------------------------------------------