TSTP Solution File: NUN080+2 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : NUN080+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat Jul 23 06:13:44 EDT 2022

% Result   : Theorem 0.54s 0.71s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : NUN080+2 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri Jul 22 08:30:42 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.54/0.71  GeoParameters:
% 0.54/0.71  
% 0.54/0.71  tptp_input =     1
% 0.54/0.71  tptp_output =    0
% 0.54/0.71  nonempty =       1
% 0.54/0.71  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.71  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.54/0.71  
% 0.54/0.71  
% 0.54/0.71  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.71  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.71  
% 0.54/0.71  RuleSystem INPUT:
% 0.54/0.71  
% 0.54/0.71  Initial Rules:
% 0.54/0.71  #0: input, references = 4, size of lhs = 0:
% 0.54/0.71     FALSE | EXISTS V0: pppp0-{T}(V0)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #1: input, references = 4, size of lhs = 1:
% 0.54/0.71     pppp0-{F}(V0) | r1-{T}(V0)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #2: input, references = 7, size of lhs = 3:
% 0.54/0.71     pppp0-{F}(V0), r1-{F}(V1), V1 == V0 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #3: input, references = 4, size of lhs = 1:
% 0.54/0.71     #-{F} V0 | EXISTS V1: pppp1-{T}(V0,V1)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #4: input, references = 3, size of lhs = 1:
% 0.54/0.71     pppp1-{F}(V0,V1) | r2-{T}(V0,V1)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #5: input, references = 5, size of lhs = 3:
% 0.54/0.71     pppp1-{F}(V0,V1), r2-{F}(V0,V2), V2 == V1 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #6: input, references = 7, size of lhs = 2:
% 0.54/0.71     #-{F} V0, #-{F} V1 | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #7: input, references = 4, size of lhs = 1:
% 0.54/0.71     pppp2-{F}(V0,V1,V2) | r3-{T}(V0,V1,V2)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #8: input, references = 5, size of lhs = 3:
% 0.54/0.71     pppp2-{F}(V0,V1,V2), r3-{F}(V0,V1,V3), V3 == V2 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #9: input, references = 4, size of lhs = 2:
% 0.54/0.71     #-{F} V0, #-{F} V1 | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #10: input, references = 3, size of lhs = 1:
% 0.54/0.71     pppp3-{F}(V0,V1,V2) | r4-{T}(V0,V1,V2)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #11: input, references = 4, size of lhs = 3:
% 0.54/0.71     pppp3-{F}(V0,V1,V2), r4-{F}(V0,V1,V3), V3 == V2 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #12: input, references = 6, size of lhs = 2:
% 0.54/0.71     #-{F} V0, #-{F} V1 | EXISTS V2: pppp7-{T}(V1,V0,V2)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #13: input, references = 4, size of lhs = 1:
% 0.54/0.71     pppp7-{F}(V0,V1,V2) | EXISTS V3: pppp6-{T}(V0,V1,V2,V3)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #14: input, references = 4, size of lhs = 1:
% 0.54/0.71     pppp7-{F}(V0,V1,V2) | EXISTS V3: pppp5-{T}(V0,V1,V3,V2)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #15: input, references = 4, size of lhs = 1:
% 0.54/0.71     pppp6-{F}(V0,V1,V2,V3) | r3-{T}(V1,V0,V3)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #16: input, references = 7, size of lhs = 1:
% 0.54/0.71     pppp6-{F}(V0,V1,V2,V3) | r2-{T}(V3,V2)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #17: input, references = 4, size of lhs = 2:
% 0.54/0.71     pppp5-{F}(V0,V1,V2,V3), V2 == V3 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #18: input, references = 3, size of lhs = 1:
% 0.54/0.71     pppp5-{F}(V0,V1,V2,V3) | EXISTS V4: pppp4-{T}(V0,V4,V1,V2)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #19: input, references = 3, size of lhs = 1:
% 0.54/0.71     pppp4-{F}(V0,V1,V2,V3) | r3-{T}(V2,V1,V3)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #20: input, references = 3, size of lhs = 1:
% 0.54/0.71     pppp4-{F}(V0,V1,V2,V3) | r2-{T}(V0,V1)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #21: input, references = 3, size of lhs = 2:
% 0.54/0.71     #-{F} V0, #-{F} V1 | EXISTS V2: pppp11-{T}(V1,V0,V2)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #22: input, references = 3, size of lhs = 1:
% 0.54/0.71     pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V0,V1,V2,V3)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #23: input, references = 3, size of lhs = 1:
% 0.54/0.71     pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp9-{T}(V0,V1,V3,V2)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #24: input, references = 3, size of lhs = 1:
% 0.54/0.71     pppp10-{F}(V0,V1,V2,V3) | r4-{T}(V1,V0,V3)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #25: input, references = 3, size of lhs = 1:
% 0.54/0.71     pppp10-{F}(V0,V1,V2,V3) | r3-{T}(V3,V1,V2)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #26: input, references = 3, size of lhs = 2:
% 0.54/0.71     pppp9-{F}(V0,V1,V2,V3), V2 == V3 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #27: input, references = 3, size of lhs = 1:
% 0.54/0.71     pppp9-{F}(V0,V1,V2,V3) | EXISTS V4: pppp8-{T}(V0,V4,V1,V2)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #28: input, references = 3, size of lhs = 1:
% 0.54/0.71     pppp8-{F}(V0,V1,V2,V3) | r4-{T}(V2,V1,V3)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #29: input, references = 3, size of lhs = 1:
% 0.54/0.71     pppp8-{F}(V0,V1,V2,V3) | r2-{T}(V0,V1)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #30: input, references = 5, size of lhs = 3:
% 0.54/0.71     r2-{F}(V0,V2), r2-{F}(V1,V2), V0 == V1 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #31: input, references = 4, size of lhs = 1:
% 0.54/0.71     #-{F} V0 | EXISTS V1: pppp13-{T}(V0,V1)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #32: input, references = 4, size of lhs = 2:
% 0.54/0.71     pppp13-{F}(V0,V1), V1 == V0 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #33: input, references = 4, size of lhs = 1:
% 0.54/0.71     pppp13-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V2,V0,V1)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #34: input, references = 5, size of lhs = 1:
% 0.54/0.71     pppp12-{F}(V0,V1,V2) | r3-{T}(V1,V0,V2)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #35: input, references = 4, size of lhs = 1:
% 0.54/0.71     pppp12-{F}(V0,V1,V2) | r1-{T}(V0)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #36: input, references = 4, size of lhs = 1:
% 0.54/0.71     #-{F} V0 | EXISTS V1: pppp16-{T}(V0,V1)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #37: input, references = 4, size of lhs = 1:
% 0.54/0.71     pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V1,V2)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #38: input, references = 4, size of lhs = 1:
% 0.54/0.71     pppp16-{F}(V0,V1) | EXISTS V2: pppp14-{T}(V2,V0,V1)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #39: input, references = 4, size of lhs = 2:
% 0.54/0.71     pppp15-{F}(V0,V1), V0 == V1 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #40: input, references = 4, size of lhs = 1:
% 0.54/0.71     pppp15-{F}(V0,V1) | r1-{T}(V1)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #41: input, references = 3, size of lhs = 1:
% 0.54/0.71     pppp14-{F}(V0,V1,V2) | r4-{T}(V1,V0,V2)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #42: input, references = 4, size of lhs = 1:
% 0.54/0.71     pppp14-{F}(V0,V1,V2) | r1-{T}(V0)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #43: input, references = 4, size of lhs = 1:
% 0.54/0.71     #-{F} V0 | pppp20-{T}(V0), pppp21-{T}(V0)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #44: input, references = 4, size of lhs = 1:
% 0.54/0.71     pppp20-{F}(V0) | EXISTS V1: pppp17-{T}(V1,V0)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #45: input, references = 4, size of lhs = 1:
% 0.54/0.71     pppp21-{F}(V0) | EXISTS V1: pppp19-{T}(V0,V1)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #46: input, references = 4, size of lhs = 1:
% 0.54/0.71     pppp19-{F}(V0,V1) | EXISTS V2: pppp18-{T}(V1,V2)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #47: input, references = 4, size of lhs = 2:
% 0.54/0.71     pppp19-{F}(V0,V1), V0 == V1 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #48: input, references = 4, size of lhs = 1:
% 0.54/0.71     pppp18-{F}(V0,V1) | r2-{T}(V1,V0)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #49: input, references = 4, size of lhs = 2:
% 0.54/0.71     pppp17-{F}(V0,V1), V1 == V0 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #50: input, references = 4, size of lhs = 1:
% 0.54/0.71     pppp17-{F}(V0,V1) | r1-{T}(V0)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #51: input, references = 3, size of lhs = 2:
% 0.54/0.71     r1-{F}(V0), r2-{F}(V2,V0) | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #52: input, references = 4, size of lhs = 4:
% 0.54/0.71     r2-{F}(V2,V1), r1-{F}(V3), r2-{F}(V3,V2), r3-{F}(V4,V1,V5) | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  number of initial rules = 53
% 0.54/0.71  
% 0.54/0.71  Simplifiers:
% 0.54/0.71  #53: unsound, references = 3, size of lhs = 3:
% 0.54/0.71     pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #54: unsound, references = 3, size of lhs = 3:
% 0.54/0.71     pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #55: unsound, references = 3, size of lhs = 3:
% 0.54/0.71     pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #56: unsound, references = 3, size of lhs = 3:
% 0.54/0.71     pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #57: unsound, references = 3, size of lhs = 3:
% 0.54/0.71     pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #58: unsound, references = 3, size of lhs = 3:
% 0.54/0.71     pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #59: unsound, references = 3, size of lhs = 3:
% 0.54/0.71     pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #60: unsound, references = 3, size of lhs = 3:
% 0.54/0.71     pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #61: unsound, references = 3, size of lhs = 3:
% 0.54/0.71     pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V6,V7), V2 == V6 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #62: unsound, references = 3, size of lhs = 3:
% 0.54/0.71     pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #63: unsound, references = 3, size of lhs = 3:
% 0.54/0.71     pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #64: unsound, references = 3, size of lhs = 3:
% 0.54/0.71     pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #65: unsound, references = 3, size of lhs = 3:
% 0.54/0.71     pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #66: unsound, references = 3, size of lhs = 3:
% 0.54/0.71     pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #67: unsound, references = 3, size of lhs = 3:
% 0.54/0.71     pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V6,V7), V2 == V6 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #68: unsound, references = 3, size of lhs = 3:
% 0.54/0.71     pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #69: unsound, references = 3, size of lhs = 3:
% 0.54/0.71     pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #70: unsound, references = 3, size of lhs = 3:
% 0.54/0.71     pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V5), V2 == V5 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #71: unsound, references = 3, size of lhs = 3:
% 0.54/0.71     pppp13-{F}(V0,V1), pppp13-{F}(V0,V3), V1 == V3 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #72: unsound, references = 3, size of lhs = 3:
% 0.54/0.71     pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #73: unsound, references = 3, size of lhs = 3:
% 0.54/0.71     pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V1,V5), V2 == V5 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #74: unsound, references = 3, size of lhs = 3:
% 0.54/0.71     pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #75: unsound, references = 3, size of lhs = 3:
% 0.54/0.71     pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #76: unsound, references = 3, size of lhs = 3:
% 0.54/0.71     pppp17-{F}(V0,V1), pppp17-{F}(V2,V1), V0 == V2 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #77: unsound, references = 3, size of lhs = 3:
% 0.54/0.71     pppp18-{F}(V0,V1), pppp18-{F}(V0,V3), V1 == V3 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #78: unsound, references = 3, size of lhs = 3:
% 0.54/0.71     pppp19-{F}(V0,V1), pppp19-{F}(V0,V3), V1 == V3 | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  number of simplifiers = 26
% 0.54/0.71  
% 0.54/0.71  Learnt:
% 0.54/0.71  #80: exists( #31, #32 ), references = 3, size of lhs = 1:
% 0.54/0.71     #-{F} V0 | pppp13-{T}(V0,V0)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #86: exists( #33, #81 ), references = 3, size of lhs = 2:
% 0.54/0.71     pppp0-{F}(V0), pppp13-{F}(V1,V2) | pppp12-{T}(V0,V1,V2)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #89: exists( #6, #8 ), references = 3, size of lhs = 1:
% 0.54/0.71     r3-{F}(V0,V1,V2) | pppp2-{T}(V0,V1,V2)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #94: exists( #45, #47 ), references = 1, size of lhs = 1:
% 0.54/0.71     pppp21-{F}(V0) | pppp19-{T}(V0,V0)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #100: exists( #46, #97 ), references = 1, size of lhs = 2:
% 0.54/0.71     pppp19-{F}(V0,V1), r2-{F}(V2,V1) | pppp18-{T}(V1,V2)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #104: exists( #37, #39 ), references = 2, size of lhs = 1:
% 0.54/0.71     pppp16-{F}(V0,V1) | pppp15-{T}(V1,V1)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #111: exists( #38, #107 ), references = 1, size of lhs = 2:
% 0.54/0.71     pppp0-{F}(V0), pppp16-{F}(V1,V2) | pppp14-{T}(V0,V1,V2)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #115: exists( #9, #11 ), references = 1, size of lhs = 1:
% 0.54/0.71     r4-{F}(V0,V1,V2) | pppp3-{T}(V0,V1,V2)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #125: exists( #36, #121 ), references = 1, size of lhs = 2:
% 0.54/0.71     pppp0-{F}(V0), #-{F} V1 | pppp16-{T}(V1,V0)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #129: exists( #44, #49 ), references = 1, size of lhs = 1:
% 0.54/0.71     pppp20-{F}(V0) | pppp17-{T}(V0,V0)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #133: disj( #43, #128+#50+#2 ), references = 1, size of lhs = 3:
% 0.54/0.71     pppp0-{F}(V0), #-{F} V1, V1 == V0 | pppp21-{T}(V1)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #138: exists( #6, #136 ), references = 2, size of lhs = 3:
% 0.54/0.71     r1-{F}(V0), r2-{F}(V0,V1), r2-{F}(V1,V2) | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #148: exists( #13, #144 ), references = 1, size of lhs = 2:
% 0.54/0.71     r2-{F}(V0,V1), pppp7-{F}(V2,V3,V1) | pppp6-{T}(V2,V3,V1,V0)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #149: exists( #13, #145 ), references = 4, size of lhs = 2:
% 0.54/0.71     pppp7-{F}(V0,V1,V2), pppp2-{F}(V1,V0,V3) | pppp6-{T}(V0,V1,V2,V3)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #161: exists( #3, #5 ), references = 1, size of lhs = 1:
% 0.54/0.71     r2-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #169: exists( #12, #167 ), references = 1, size of lhs = 2:
% 0.54/0.71     pppp1-{F}(V0,V1), pppp2-{F}(V2,V3,V0) | pppp7-{T}(V3,V2,V1)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #183: exists( #14, #17 ), references = 1, size of lhs = 1:
% 0.54/0.71     pppp7-{F}(V0,V1,V2) | pppp5-{T}(V0,V1,V2,V2)
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #200: exists( #12, #197 ), references = 1, size of lhs = 3:
% 0.54/0.71     r1-{F}(V0), r2-{F}(V0,V1), pppp2-{F}(V2,V3,V1) | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #209: exists( #12, #207 ), references = 1, size of lhs = 3:
% 0.54/0.71     pppp0-{F}(V0), r1-{F}(V1), pppp2-{F}(V2,V3,V1) | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  #217: exists( #0, #215 ), references = 1, size of lhs = 0:
% 0.54/0.71     FALSE | FALSE
% 0.54/0.71        (used 0 times, uses = {})
% 0.54/0.71  
% 0.54/0.71  number of learnt formulas = 20
% 0.54/0.71  
% 0.54/0.71  
% 0.54/0.71  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.71  
% 0.54/0.71  randbase = 1
%------------------------------------------------------------------------------