TSTP Solution File: KRS080+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : KRS080+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n016.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 06:07:23 EDT 2022

% Result   : Unsatisfiable 0.19s 0.38s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KRS080+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri Jul 22 10:53:44 EDT 2022
% 0.19/0.34  % CPUTime  : 
% 0.19/0.38  GeoParameters:
% 0.19/0.38  
% 0.19/0.38  tptp_input =     1
% 0.19/0.38  tptp_output =    0
% 0.19/0.38  nonempty =       1
% 0.19/0.38  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.38  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.38  
% 0.19/0.38  
% 0.19/0.38  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.38  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.38  
% 0.19/0.38  RuleSystem INPUT:
% 0.19/0.38  
% 0.19/0.38  Initial Rules:
% 0.19/0.38  #0: input, references = 3, size of lhs = 1:
% 0.19/0.38     #-{F} V0 | cowlThing-{T}(V0)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #1: input, references = 3, size of lhs = 1:
% 0.19/0.38     cowlNothing-{F}(V0) | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #2: input, references = 3, size of lhs = 2:
% 0.19/0.38     xsd_string-{F}(V0), xsd_integer-{F}(V0) | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #3: input, references = 3, size of lhs = 1:
% 0.19/0.38     #-{F} V0 | xsd_string-{T}(V0), xsd_integer-{T}(V0)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #4: input, references = 4, size of lhs = 1:
% 0.19/0.38     cUnsatisfiable-{F}(V0) | pppp0-{T}(V0)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #5: input, references = 3, size of lhs = 1:
% 0.19/0.38     pppp0-{F}(V0) | cUnsatisfiable-{T}(V0)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #6: input, references = 4, size of lhs = 1:
% 0.19/0.38     pppp0-{F}(V0) | pppp8-{T}(V0)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #7: input, references = 3, size of lhs = 17:
% 0.19/0.38     rr-{F}(V0,V1), cp-{F}(V1), cp1-{F}(V1), rr-{F}(V0,V2), cp1-{F}(V2), rr-{F}(V0,V3), cp4-{F}(V3), rr-{F}(V0,V4), cp2-{F}(V4), rr-{F}(V0,V5), cp3-{F}(V5), rr-{F}(V0,V6), cp-{F}(V6), cp3-{F}(V6), rr-{F}(V0,V7), cp2-{F}(V7), cp-{F}(V7) | pppp0-{T}(V0), pppp13-{T}(V0)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #8: input, references = 3, size of lhs = 1:
% 0.19/0.38     pppp13-{F}(V0) | EXISTS V1: pppp12-{T}(V0,V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #9: input, references = 3, size of lhs = 1:
% 0.19/0.38     pppp12-{F}(V0,V1) | EXISTS V2: pppp11-{T}(V0,V2,V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #10: input, references = 3, size of lhs = 1:
% 0.19/0.38     pppp12-{F}(V0,V1) | rr-{T}(V0,V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #11: input, references = 3, size of lhs = 1:
% 0.19/0.38     pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V0,V3,V1,V2)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #12: input, references = 3, size of lhs = 1:
% 0.19/0.38     pppp11-{F}(V0,V2,V2) | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #13: input, references = 3, size of lhs = 1:
% 0.19/0.38     pppp11-{F}(V0,V1,V2) | rr-{T}(V0,V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #14: input, references = 3, size of lhs = 1:
% 0.19/0.38     pppp10-{F}(V0,V1,V2,V3) | EXISTS V4: pppp9-{T}(V0,V4,V1,V2,V3)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #15: input, references = 3, size of lhs = 1:
% 0.19/0.38     pppp10-{F}(V0,V3,V2,V3) | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #16: input, references = 3, size of lhs = 1:
% 0.19/0.38     pppp10-{F}(V0,V2,V2,V3) | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #17: input, references = 3, size of lhs = 1:
% 0.19/0.38     pppp10-{F}(V0,V1,V2,V3) | rr-{T}(V0,V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #18: input, references = 3, size of lhs = 1:
% 0.19/0.38     pppp9-{F}(V0,V4,V2,V3,V4) | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #19: input, references = 3, size of lhs = 1:
% 0.19/0.38     pppp9-{F}(V0,V3,V2,V3,V4) | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #20: input, references = 3, size of lhs = 1:
% 0.19/0.38     pppp9-{F}(V0,V2,V2,V3,V4) | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #21: input, references = 3, size of lhs = 1:
% 0.19/0.38     pppp9-{F}(V0,V1,V2,V3,V4) | rr-{T}(V0,V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #22: input, references = 4, size of lhs = 1:
% 0.19/0.38     pppp8-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #23: input, references = 4, size of lhs = 1:
% 0.19/0.38     pppp8-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #24: input, references = 3, size of lhs = 1:
% 0.19/0.38     pppp8-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #25: input, references = 3, size of lhs = 1:
% 0.19/0.38     pppp8-{F}(V0) | EXISTS V1: pppp4-{T}(V0,V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #26: input, references = 4, size of lhs = 11:
% 0.19/0.38     pppp8-{F}(V0), rr-{F}(V0,V1), rr-{F}(V0,V2), rr-{F}(V0,V3), rr-{F}(V0,V4), V2 == V1, V3 == V2, V3 == V1, V4 == V3, V4 == V2, V4 == V1 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #27: input, references = 4, size of lhs = 1:
% 0.19/0.38     pppp8-{F}(V0) | EXISTS V1: pppp3-{T}(V0,V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #28: input, references = 4, size of lhs = 1:
% 0.19/0.38     pppp8-{F}(V0) | EXISTS V1: pppp2-{T}(V0,V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #29: input, references = 3, size of lhs = 1:
% 0.19/0.38     pppp8-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #30: input, references = 3, size of lhs = 1:
% 0.19/0.38     pppp7-{F}(V0,V1) | cp-{T}(V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #31: input, references = 4, size of lhs = 1:
% 0.19/0.38     pppp7-{F}(V0,V1) | cp2-{T}(V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #32: input, references = 4, size of lhs = 1:
% 0.19/0.38     pppp7-{F}(V0,V1) | rr-{T}(V0,V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #33: input, references = 5, size of lhs = 1:
% 0.19/0.38     pppp6-{F}(V0,V1) | cp3-{T}(V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #34: input, references = 3, size of lhs = 1:
% 0.19/0.38     pppp6-{F}(V0,V1) | cp-{T}(V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #35: input, references = 4, size of lhs = 1:
% 0.19/0.38     pppp6-{F}(V0,V1) | rr-{T}(V0,V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #36: input, references = 3, size of lhs = 1:
% 0.19/0.38     pppp5-{F}(V0,V1) | cp3-{T}(V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #37: input, references = 3, size of lhs = 1:
% 0.19/0.38     pppp5-{F}(V0,V1) | rr-{T}(V0,V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #38: input, references = 3, size of lhs = 1:
% 0.19/0.38     pppp4-{F}(V0,V1) | cp2-{T}(V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #39: input, references = 3, size of lhs = 1:
% 0.19/0.38     pppp4-{F}(V0,V1) | rr-{T}(V0,V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #40: input, references = 6, size of lhs = 1:
% 0.19/0.38     pppp3-{F}(V0,V1) | cp4-{T}(V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #41: input, references = 4, size of lhs = 1:
% 0.19/0.38     pppp3-{F}(V0,V1) | rr-{T}(V0,V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #42: input, references = 6, size of lhs = 1:
% 0.19/0.38     pppp2-{F}(V0,V1) | cp1-{T}(V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #43: input, references = 4, size of lhs = 1:
% 0.19/0.38     pppp2-{F}(V0,V1) | rr-{T}(V0,V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #44: input, references = 3, size of lhs = 1:
% 0.19/0.38     pppp1-{F}(V0,V1) | cp1-{T}(V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #45: input, references = 3, size of lhs = 1:
% 0.19/0.38     pppp1-{F}(V0,V1) | cp-{T}(V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #46: input, references = 3, size of lhs = 1:
% 0.19/0.38     pppp1-{F}(V0,V1) | rr-{T}(V0,V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #47: input, references = 4, size of lhs = 2:
% 0.19/0.38     cp1-{F}(V0), cp2-{F}(V0) | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #48: input, references = 4, size of lhs = 2:
% 0.19/0.38     cp1-{F}(V0), cp4-{F}(V0) | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #49: input, references = 3, size of lhs = 2:
% 0.19/0.38     cp1-{F}(V0), cp5-{F}(V0) | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #50: input, references = 4, size of lhs = 2:
% 0.19/0.38     cp1-{F}(V0), cp3-{F}(V0) | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #51: input, references = 4, size of lhs = 2:
% 0.19/0.38     cp2-{F}(V0), cp4-{F}(V0) | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #52: input, references = 3, size of lhs = 2:
% 0.19/0.38     cp2-{F}(V0), cp5-{F}(V0) | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #53: input, references = 4, size of lhs = 2:
% 0.19/0.38     cp2-{F}(V0), cp3-{F}(V0) | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #54: input, references = 4, size of lhs = 2:
% 0.19/0.38     cp3-{F}(V0), cp4-{F}(V0) | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #55: input, references = 3, size of lhs = 2:
% 0.19/0.38     cp3-{F}(V0), cp5-{F}(V0) | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #56: input, references = 3, size of lhs = 2:
% 0.19/0.38     cp4-{F}(V0), cp5-{F}(V0) | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #57: input, references = 4, size of lhs = 1:
% 0.19/0.38     P_i2003_11_14_17_19_21224-{F}(V0) | cUnsatisfiable-{T}(V0)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #58: input, references = 4, size of lhs = 0:
% 0.19/0.38     FALSE | EXISTS V0: P_i2003_11_14_17_19_21224-{T}(V0)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  number of initial rules = 59
% 0.19/0.38  
% 0.19/0.38  Simplifiers:
% 0.19/0.38  #59: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     cUnsatisfiable-{F}(V0), cUnsatisfiable-{F}(V1), V0 == V1 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #60: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     rr-{F}(V0,V1), rr-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #61: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #62: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     P_i2003_11_14_17_19_21224-{F}(V0), P_i2003_11_14_17_19_21224-{F}(V1), V0 == V1 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #63: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #64: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #65: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #66: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     pppp2-{F}(V0,V1), pppp2-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #67: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #68: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     pppp3-{F}(V0,V1), pppp3-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #69: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #70: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     pppp4-{F}(V0,V1), pppp4-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #71: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #72: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #73: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #74: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     pppp6-{F}(V0,V1), pppp6-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #75: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #76: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     pppp7-{F}(V0,V1), pppp7-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #77: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #78: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     pppp9-{F}(V0,V1,V2,V3,V4), pppp9-{F}(V0,V6,V2,V3,V4), V1 == V6 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #79: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     pppp9-{F}(V0,V1,V2,V3,V4), pppp9-{F}(V0,V6,V7,V3,V4), V2 == V7 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #80: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     pppp9-{F}(V0,V1,V2,V3,V4), pppp9-{F}(V0,V6,V7,V8,V4), V3 == V8 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #81: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     pppp9-{F}(V0,V1,V2,V3,V4), pppp9-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #82: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     pppp9-{F}(V0,V1,V2,V3,V4), pppp9-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #83: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #84: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #85: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #86: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #87: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #88: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #89: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     pppp11-{F}(V0,V1,V2), pppp11-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #90: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     pppp12-{F}(V0,V1), pppp12-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #91: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     pppp12-{F}(V0,V1), pppp12-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #92: unsound, references = 3, size of lhs = 3:
% 0.19/0.38     pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  number of simplifiers = 34
% 0.19/0.38  
% 0.19/0.38  Learnt:
% 0.19/0.38  #98: exists( #28, #96 ), references = 1, size of lhs = 7:
% 0.19/0.38     pppp8-{F}(V0), rr-{F}(V0,V1), rr-{F}(V0,V2), V2 == V1, rr-{F}(V0,V3), V3 == V2, V3 == V1 | pppp2-{T}(V0,V1), pppp2-{T}(V0,V2), pppp2-{T}(V0,V3)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #102: disj( #97, #42+#48, #42+#50 ), references = 1, size of lhs = 9:
% 0.19/0.38     pppp8-{F}(V0), rr-{F}(V0,V1), rr-{F}(V0,V2), V2 == V1, cp4-{F}(V2), rr-{F}(V0,V3), V3 == V2, V3 == V1, cp3-{F}(V3) | pppp2-{T}(V0,V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #108: exists( #27, #106 ), references = 1, size of lhs = 6:
% 0.19/0.38     pppp8-{F}(V0), rr-{F}(V0,V1), cp2-{F}(V1), rr-{F}(V0,V2), V2 == V1, cp3-{F}(V2) | pppp3-{T}(V0,V1), pppp3-{T}(V0,V2)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #111: disj( #107, #40+#54 ), references = 1, size of lhs = 6:
% 0.19/0.38     pppp8-{F}(V0), rr-{F}(V0,V1), cp2-{F}(V1), rr-{F}(V0,V2), V2 == V1, cp3-{F}(V2) | pppp3-{T}(V0,V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #117: exists( #23, #115 ), references = 1, size of lhs = 3:
% 0.19/0.38     pppp8-{F}(V0), rr-{F}(V0,V1), cp2-{F}(V1) | pppp6-{T}(V0,V1)
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #123: exists( #22, #121 ), references = 1, size of lhs = 1:
% 0.19/0.38     pppp8-{F}(V0) | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  #128: exists( #58, #126 ), references = 1, size of lhs = 0:
% 0.19/0.38     FALSE | FALSE
% 0.19/0.38        (used 0 times, uses = {})
% 0.19/0.38  
% 0.19/0.38  number of learnt formulas = 7
% 0.19/0.38  
% 0.19/0.38  
% 0.19/0.38  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.38  
% 0.19/0.38  randbase = 1
%------------------------------------------------------------------------------