TSTP Solution File: SEU272+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SEU272+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n012.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 06:17:40 EDT 2022

% Result   : Theorem 0.36s 0.61s
% Output   : Refutation 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU272+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n012.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 19:25:07 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.36/0.61  GeoParameters:
% 0.36/0.61  
% 0.36/0.61  tptp_input =     1
% 0.36/0.61  tptp_output =    0
% 0.36/0.61  nonempty =       1
% 0.36/0.61  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.61  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.36/0.61  
% 0.36/0.61  
% 0.36/0.61  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.61  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.61  
% 0.36/0.61  RuleSystem INPUT:
% 0.36/0.61  
% 0.36/0.61  Initial Rules:
% 0.36/0.61  #0: input, references = 4, size of lhs = 0:
% 0.36/0.61     FALSE | EXISTS V0: pppp4-{T}(V0)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #1: input, references = 4, size of lhs = 1:
% 0.36/0.61     pppp4-{F}(V0) | EXISTS V1: pppp3-{T}(V0,V1)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #2: input, references = 4, size of lhs = 1:
% 0.36/0.61     pppp4-{F}(V0) | ordinal-{T}(V0)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #3: input, references = 4, size of lhs = 2:
% 0.36/0.61     pppp3-{F}(V0,V1), #-{F} V2 | EXISTS V3: pppp2-{T}(V0,V3,V2,V1)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #4: input, references = 7, size of lhs = 3:
% 0.36/0.61     pppp2-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V1,V3), in-{F}(V1,V2) | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #5: input, references = 7, size of lhs = 1:
% 0.36/0.61     pppp2-{F}(V0,V1,V2,V3) | in-{T}(V1,V2), pppp0-{T}(V0,V1,V3)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #6: input, references = 8, size of lhs = 2:
% 0.36/0.61     P_succ-{F}(V0,V3), pppp0-{F}(V0,V1,V2) | in-{T}(V1,V3)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #7: input, references = 4, size of lhs = 2:
% 0.36/0.61     P_succ-{F}(V0,V3), pppp0-{F}(V0,V1,V2) | EXISTS V4: pppp5-{T}(V1,V4,V2)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #8: input, references = 4, size of lhs = 4:
% 0.36/0.61     P_succ-{F}(V0,V3), in-{F}(V4,V3), ordinal-{F}(V4), in-{F}(V4,V2) | pppp0-{T}(V0,V4,V2)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #9: input, references = 4, size of lhs = 1:
% 0.36/0.61     pppp5-{F}(V0,V1,V2) | in-{T}(V1,V2)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #10: input, references = 4, size of lhs = 2:
% 0.36/0.61     pppp5-{F}(V0,V1,V2), V0 == V1 | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #11: input, references = 4, size of lhs = 1:
% 0.36/0.61     pppp5-{F}(V0,V1,V2) | ordinal-{T}(V1)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #12: input, references = 3, size of lhs = 1:
% 0.36/0.61     empty-{F}(V0) | function-{T}(V0)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #13: input, references = 3, size of lhs = 2:
% 0.36/0.61     epsilon_transitive-{F}(V0), epsilon_connected-{F}(V0) | ordinal-{T}(V0)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #14: input, references = 3, size of lhs = 0:
% 0.36/0.61     FALSE | EXISTS V0: pppp6-{T}(V0)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #15: input, references = 3, size of lhs = 1:
% 0.36/0.61     pppp6-{F}(V0) | ordinal-{T}(V0)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #16: input, references = 3, size of lhs = 1:
% 0.36/0.61     pppp6-{F}(V0) | epsilon_connected-{T}(V0)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #17: input, references = 3, size of lhs = 1:
% 0.36/0.61     pppp6-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #18: input, references = 3, size of lhs = 1:
% 0.36/0.61     empty-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #19: input, references = 3, size of lhs = 1:
% 0.36/0.61     empty-{F}(V0) | epsilon_connected-{T}(V0)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #20: input, references = 3, size of lhs = 1:
% 0.36/0.61     empty-{F}(V0) | ordinal-{T}(V0)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #21: input, references = 3, size of lhs = 0:
% 0.36/0.61     FALSE | EXISTS V0: pppp7-{T}(V0)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #22: input, references = 3, size of lhs = 1:
% 0.36/0.61     pppp7-{F}(V0) | ordinal-{T}(V0)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #23: input, references = 3, size of lhs = 1:
% 0.36/0.61     pppp7-{F}(V0) | epsilon_connected-{T}(V0)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #24: input, references = 3, size of lhs = 1:
% 0.36/0.61     pppp7-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #25: input, references = 3, size of lhs = 2:
% 0.36/0.61     pppp7-{F}(V0), empty-{F}(V0) | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #26: input, references = 3, size of lhs = 0:
% 0.36/0.61     FALSE | EXISTS V0: pppp8-{T}(V0)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #27: input, references = 3, size of lhs = 1:
% 0.36/0.61     pppp8-{F}(V0) | empty-{T}(V0)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #28: input, references = 3, size of lhs = 0:
% 0.36/0.61     FALSE | EXISTS V0: pppp9-{T}(V0)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #29: input, references = 3, size of lhs = 2:
% 0.36/0.61     pppp9-{F}(V0), empty-{F}(V0) | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #30: input, references = 5, size of lhs = 2:
% 0.36/0.61     in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #31: input, references = 3, size of lhs = 2:
% 0.36/0.61     P_succ-{F}(V0,V1), empty-{F}(V1) | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #32: input, references = 3, size of lhs = 1:
% 0.36/0.61     ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #33: input, references = 3, size of lhs = 1:
% 0.36/0.61     ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #34: input, references = 3, size of lhs = 3:
% 0.36/0.61     P_succ-{F}(V0,V1), ordinal-{F}(V0), empty-{F}(V1) | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #35: input, references = 3, size of lhs = 2:
% 0.36/0.61     P_succ-{F}(V0,V1), ordinal-{F}(V0) | epsilon_transitive-{T}(V1)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #36: input, references = 3, size of lhs = 2:
% 0.36/0.61     P_succ-{F}(V0,V1), ordinal-{F}(V0) | epsilon_connected-{T}(V1)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #37: input, references = 3, size of lhs = 2:
% 0.36/0.61     P_succ-{F}(V0,V1), ordinal-{F}(V0) | ordinal-{T}(V1)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #38: input, references = 4, size of lhs = 2:
% 0.36/0.61     ordinal-{F}(V0), #-{F} V1 | pppp18-{T}(V1), pppp19-{T}(V0,V1)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #39: input, references = 4, size of lhs = 1:
% 0.36/0.61     pppp18-{F}(V0) | EXISTS V1: pppp14-{T}(V1,V0)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #40: input, references = 4, size of lhs = 1:
% 0.36/0.61     pppp19-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V2,V1)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #41: input, references = 4, size of lhs = 2:
% 0.36/0.61     pppp15-{F}(V0,V1,V2), pppp1-{F}(V0,V3,V2) | in-{T}(V3,V1)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #42: input, references = 6, size of lhs = 2:
% 0.36/0.61     pppp15-{F}(V0,V1,V2), in-{F}(V3,V1) | pppp1-{T}(V0,V3,V2)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #43: input, references = 4, size of lhs = 1:
% 0.36/0.61     pppp14-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V2,V0,V1)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #44: input, references = 4, size of lhs = 1:
% 0.36/0.61     pppp14-{F}(V0,V1) | EXISTS V2: pppp10-{T}(V0,V1,V2)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #45: input, references = 4, size of lhs = 1:
% 0.36/0.61     pppp13-{F}(V0,V1,V2) | EXISTS V3: pppp12-{T}(V0,V3,V1)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #46: input, references = 4, size of lhs = 1:
% 0.36/0.61     pppp13-{F}(V1,V1,V2) | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #47: input, references = 3, size of lhs = 1:
% 0.36/0.61     pppp13-{F}(V0,V1,V2) | EXISTS V3: pppp11-{T}(V0,V2,V3)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #48: input, references = 5, size of lhs = 2:
% 0.36/0.61     pppp12-{F}(V0,V1,V2), V1 == V2 | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #49: input, references = 4, size of lhs = 2:
% 0.36/0.61     pppp12-{F}(V0,V1,V2), V1 == V0 | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #50: input, references = 3, size of lhs = 1:
% 0.36/0.61     pppp11-{F}(V0,V1,V2) | in-{T}(V2,V1)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #51: input, references = 3, size of lhs = 2:
% 0.36/0.61     pppp11-{F}(V0,V1,V2), V0 == V2 | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #52: input, references = 3, size of lhs = 1:
% 0.36/0.61     pppp11-{F}(V0,V1,V2) | ordinal-{T}(V2)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #53: input, references = 3, size of lhs = 1:
% 0.36/0.61     pppp10-{F}(V0,V1,V2) | in-{T}(V2,V1)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #54: input, references = 4, size of lhs = 2:
% 0.36/0.61     pppp10-{F}(V0,V1,V2), V0 == V2 | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #55: input, references = 3, size of lhs = 1:
% 0.36/0.61     pppp10-{F}(V0,V1,V2) | ordinal-{T}(V2)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #56: input, references = 4, size of lhs = 2:
% 0.36/0.61     P_succ-{F}(V0,V3), pppp1-{F}(V0,V1,V2) | EXISTS V4: pppp16-{T}(V1,V2,V4)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #57: input, references = 4, size of lhs = 2:
% 0.36/0.61     P_succ-{F}(V0,V3), pppp1-{F}(V0,V1,V2) | EXISTS V4: pppp17-{T}(V1,V4,V3)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #58: input, references = 4, size of lhs = 4:
% 0.36/0.61     P_succ-{F}(V0,V3), ordinal-{F}(V4), in-{F}(V4,V2), in-{F}(V4,V3) | pppp1-{T}(V0,V4,V2)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #59: input, references = 4, size of lhs = 2:
% 0.36/0.61     pppp17-{F}(V0,V1,V2), V1 == V0 | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #60: input, references = 4, size of lhs = 1:
% 0.36/0.61     pppp17-{F}(V0,V1,V2) | in-{T}(V1,V2)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #61: input, references = 6, size of lhs = 1:
% 0.36/0.61     pppp16-{F}(V0,V1,V2) | in-{T}(V2,V1)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #62: input, references = 4, size of lhs = 2:
% 0.36/0.61     pppp16-{F}(V0,V1,V2), V0 == V2 | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #63: input, references = 4, size of lhs = 1:
% 0.36/0.61     pppp16-{F}(V0,V1,V2) | ordinal-{T}(V2)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #64: input, references = 4, size of lhs = 1:
% 0.36/0.61     #-{F} V0 | EXISTS V1: P_succ-{T}(V0,V1)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  number of initial rules = 65
% 0.36/0.61  
% 0.36/0.61  Simplifiers:
% 0.36/0.61  #65: unsound, references = 3, size of lhs = 3:
% 0.36/0.61     empty-{F}(V0), empty-{F}(V1), V0 == V1 | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #66: unsound, references = 3, size of lhs = 3:
% 0.36/0.61     function-{F}(V0), function-{F}(V1), V0 == V1 | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #67: unsound, references = 3, size of lhs = 3:
% 0.36/0.61     P_succ-{F}(V0,V1), P_succ-{F}(V0,V3), V1 == V3 | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #68: unsound, references = 3, size of lhs = 3:
% 0.36/0.61     pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #69: unsound, references = 3, size of lhs = 3:
% 0.36/0.61     pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #70: unsound, references = 3, size of lhs = 3:
% 0.36/0.61     pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #71: unsound, references = 3, size of lhs = 3:
% 0.36/0.61     pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #72: unsound, references = 3, size of lhs = 3:
% 0.36/0.61     pppp3-{F}(V0,V1), pppp3-{F}(V2,V3), V0 == V2 | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #73: unsound, references = 3, size of lhs = 3:
% 0.36/0.61     pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #74: unsound, references = 3, size of lhs = 3:
% 0.36/0.61     pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #75: unsound, references = 3, size of lhs = 3:
% 0.36/0.61     pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #76: unsound, references = 3, size of lhs = 3:
% 0.36/0.61     pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #77: unsound, references = 3, size of lhs = 3:
% 0.36/0.61     pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #78: unsound, references = 3, size of lhs = 3:
% 0.36/0.61     pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #79: unsound, references = 3, size of lhs = 3:
% 0.36/0.61     pppp10-{F}(V0,V1,V2), pppp10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #80: unsound, references = 3, size of lhs = 3:
% 0.36/0.61     pppp10-{F}(V0,V1,V2), pppp10-{F}(V3,V1,V5), V0 == V3 | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #81: unsound, references = 3, size of lhs = 3:
% 0.36/0.61     pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #82: unsound, references = 3, size of lhs = 3:
% 0.36/0.61     pppp12-{F}(V0,V1,V2), pppp12-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #83: unsound, references = 3, size of lhs = 3:
% 0.36/0.61     pppp13-{F}(V0,V1,V2), pppp13-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #84: unsound, references = 3, size of lhs = 3:
% 0.36/0.61     pppp13-{F}(V0,V1,V2), pppp13-{F}(V3,V4,V2), V1 == V4 | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #85: unsound, references = 3, size of lhs = 3:
% 0.36/0.61     pppp14-{F}(V0,V1), pppp14-{F}(V2,V1), V0 == V2 | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #86: unsound, references = 3, size of lhs = 3:
% 0.36/0.61     pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #87: unsound, references = 3, size of lhs = 3:
% 0.36/0.61     pppp16-{F}(V0,V1,V2), pppp16-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #88: unsound, references = 3, size of lhs = 3:
% 0.36/0.61     pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  number of simplifiers = 24
% 0.36/0.61  
% 0.36/0.61  Learnt:
% 0.36/0.61  #94: disj( #5, #6+#30 ), references = 1, size of lhs = 2:
% 0.36/0.61     P_succ-{F}(V0,V1), pppp2-{F}(V0,V1,V2,V3) | in-{T}(V1,V2)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #95: disj( #5, #6+#4 ), references = 1, size of lhs = 3:
% 0.36/0.61     P_succ-{F}(V0,V1), pppp2-{F}(V0,V2,V1,V3), pppp2-{F}(V0,V2,V4,V3) | in-{T}(V2,V4)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #99: exists( #7, #10 ), references = 2, size of lhs = 2:
% 0.36/0.61     P_succ-{F}(V0,V1), pppp0-{F}(V0,V2,V3) | pppp5-{T}(V2,V2,V3)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #101: exists( #56, #62 ), references = 4, size of lhs = 2:
% 0.36/0.61     P_succ-{F}(V0,V1), pppp1-{F}(V0,V2,V3) | pppp16-{T}(V2,V3,V2)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #105: exists( #57, #59 ), references = 2, size of lhs = 2:
% 0.36/0.61     P_succ-{F}(V0,V1), pppp1-{F}(V0,V2,V3) | pppp17-{T}(V2,V2,V1)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #130: mergings( V6 == V8, V7 == V0, V5 == V3; #126 ), references = 2, size of lhs = 4:
% 0.36/0.61     P_succ-{F}(V0,V1), P_succ-{F}(V2,V1), pppp15-{F}(V0,V3,V4), pppp2-{F}(V2,V5,V3,V4) | pppp0-{T}(V2,V5,V4)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #155: mergings( V5 == V6, V6 == V8; #152 ), references = 1, size of lhs = 6:
% 0.36/0.61     pppp3-{F}(V0,V1), P_succ-{F}(V0,V2), P_succ-{F}(V3,V2), P_succ-{F}(V4,V2), pppp15-{F}(V3,V5,V1), pppp15-{F}(V4,V5,V1) | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #159: mergings( V4 == V5, V5 == V6; #156 ), references = 1, size of lhs = 4:
% 0.36/0.61     pppp19-{F}(V0,V1), pppp3-{F}(V2,V1), P_succ-{F}(V0,V3), P_succ-{F}(V2,V3) | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #163: mergings( V3 == V4, V4 == V5; #160 ), references = 1, size of lhs = 4:
% 0.36/0.61     ordinal-{F}(V0), P_succ-{F}(V0,V1), P_succ-{F}(V2,V1), pppp3-{F}(V2,V3) | pppp18-{T}(V3)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #177: disj( #5, #6+#42+#101+#61+#30 ), references = 1, size of lhs = 4:
% 0.36/0.61     P_succ-{F}(V0,V1), P_succ-{F}(V2,V3), pppp15-{F}(V2,V1,V4), pppp2-{F}(V0,V4,V5,V6) | in-{T}(V4,V5)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #178: disj( #5, #6+#42+#101+#61+#4 ), references = 1, size of lhs = 5:
% 0.36/0.61     P_succ-{F}(V0,V1), pppp15-{F}(V2,V1,V3), P_succ-{F}(V2,V4), pppp2-{F}(V0,V5,V3,V6), pppp2-{F}(V0,V5,V7,V6) | in-{T}(V5,V7)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #185: disj( #5, input ), references = 1, size of lhs = 1:
% 0.36/0.61     pppp2-{F}(V0,V1,V1,V2) | pppp0-{T}(V0,V1,V2)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #195: exists( #44, #54 ), references = 1, size of lhs = 1:
% 0.36/0.61     pppp14-{F}(V0,V1) | pppp10-{T}(V0,V1,V0)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #213: exists( #45, #49 ), references = 1, size of lhs = 1:
% 0.36/0.61     pppp13-{F}(V0,V1,V2) | pppp12-{T}(V0,V0,V1)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #214: exists( #45, #48 ), references = 1, size of lhs = 1:
% 0.36/0.61     pppp13-{F}(V0,V1,V2) | pppp12-{T}(V0,V1,V1)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #219: exists( #43, #216 ), references = 1, size of lhs = 1:
% 0.36/0.61     pppp14-{F}(V0,V1) | pppp13-{T}(V0,V0,V1)
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #222: exists( #39, #220 ), references = 1, size of lhs = 1:
% 0.36/0.61     pppp18-{F}(V0) | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #225: exists( #64, #223 ), references = 1, size of lhs = 2:
% 0.36/0.61     ordinal-{F}(V0), pppp3-{F}(V0,V1) | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #227: exists( #1, #224 ), references = 1, size of lhs = 2:
% 0.36/0.61     pppp4-{F}(V0), ordinal-{F}(V0) | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  #230: exists( #0, #228 ), references = 1, size of lhs = 0:
% 0.36/0.61     FALSE | FALSE
% 0.36/0.61        (used 0 times, uses = {})
% 0.36/0.61  
% 0.36/0.61  number of learnt formulas = 20
% 0.36/0.61  
% 0.36/0.61  
% 0.36/0.61  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.61  
% 0.36/0.61  randbase = 1
%------------------------------------------------------------------------------