TSTP Solution File: GEO086+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : GEO086+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n019.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 06:01:40 EDT 2022

% Result   : Theorem 0.18s 0.39s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO086+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n019.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 18:18:07 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.39  GeoParameters:
% 0.18/0.39  
% 0.18/0.39  tptp_input =     1
% 0.18/0.39  tptp_output =    0
% 0.18/0.39  nonempty =       1
% 0.18/0.39  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.39  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.39  
% 0.18/0.39  
% 0.18/0.39  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.39  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.39  
% 0.18/0.39  RuleSystem INPUT:
% 0.18/0.39  
% 0.18/0.39  Initial Rules:
% 0.18/0.39  #0: input, references = 3, size of lhs = 1:
% 0.18/0.39     part_of-{F}(V1,V0) | pppp0-{T}(V1,V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #1: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp0-{F}(V1,V0) | part_of-{T}(V1,V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #2: input, references = 3, size of lhs = 2:
% 0.18/0.39     pppp0-{F}(V0,V1), incident_c-{F}(V2,V0) | incident_c-{T}(V2,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #3: input, references = 3, size of lhs = 2:
% 0.18/0.39     #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp24-{T}(V0,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #4: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp24-{F}(V0,V1) | EXISTS V2: pppp8-{T}(V0,V1,V2)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #5: input, references = 3, size of lhs = 2:
% 0.18/0.39     pppp8-{F}(V0,V1,V2), incident_c-{F}(V2,V1) | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #6: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp8-{F}(V0,V1,V2) | incident_c-{T}(V2,V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #7: input, references = 3, size of lhs = 1:
% 0.18/0.39     P_sum-{F}(V1,V2,V3) | pppp2-{T}(V1,V3,V2)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #8: input, references = 3, size of lhs = 3:
% 0.18/0.39     P_sum-{F}(V1,V2,V3), pppp2-{F}(V1,V0,V2), V0 == V3 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #9: input, references = 3, size of lhs = 2:
% 0.18/0.39     pppp2-{F}(V0,V1,V2), incident_c-{F}(V3,V1) | pppp1-{T}(V0,V2,V3)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #10: input, references = 3, size of lhs = 2:
% 0.18/0.39     pppp2-{F}(V0,V1,V2), pppp1-{F}(V0,V2,V3) | incident_c-{T}(V3,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #11: input, references = 3, size of lhs = 3:
% 0.18/0.39     #-{F} V0, #-{F} V1, #-{F} V2 | pppp2-{T}(V0,V1,V2), pppp25-{T}(V0,V1,V2)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #12: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp25-{F}(V0,V1,V2) | EXISTS V3: pppp9-{T}(V0,V1,V2,V3)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #13: input, references = 3, size of lhs = 3:
% 0.18/0.39     pppp9-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V2,V3), incident_c-{F}(V3,V1) | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #14: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp9-{F}(V0,V1,V2,V3) | incident_c-{T}(V3,V1), pppp1-{T}(V0,V2,V3)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #15: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp1-{F}(V0,V1,V2) | incident_c-{T}(V2,V0), incident_c-{T}(V2,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #16: input, references = 3, size of lhs = 2:
% 0.18/0.39     #-{F} V1, incident_c-{F}(V2,V0) | pppp1-{T}(V0,V1,V2)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #17: input, references = 3, size of lhs = 2:
% 0.18/0.39     #-{F} V0, incident_c-{F}(V2,V1) | pppp1-{T}(V0,V1,V2)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #18: input, references = 3, size of lhs = 1:
% 0.18/0.39     end_point-{F}(V0,V1) | pppp3-{T}(V1,V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #19: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp3-{F}(V1,V0) | end_point-{T}(V0,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #20: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp3-{F}(V0,V1) | incident_c-{T}(V1,V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #21: input, references = 3, size of lhs = 5:
% 0.18/0.39     pppp3-{F}(V0,V1), part_of-{F}(V2,V0), incident_c-{F}(V1,V2), part_of-{F}(V3,V0), incident_c-{F}(V1,V3) | part_of-{T}(V3,V2), part_of-{T}(V2,V3)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #22: input, references = 3, size of lhs = 1:
% 0.18/0.39     incident_c-{F}(V1,V0) | pppp3-{T}(V0,V1), pppp26-{T}(V0,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #23: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp26-{F}(V0,V1) | EXISTS V2: pppp11-{T}(V0,V1,V2)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #24: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V3,V0,V1,V2)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #25: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp11-{F}(V0,V1,V2) | incident_c-{T}(V1,V2)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #26: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp11-{F}(V0,V1,V2) | part_of-{T}(V2,V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #27: input, references = 3, size of lhs = 2:
% 0.18/0.39     pppp10-{F}(V0,V1,V2,V3), part_of-{F}(V3,V0) | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #28: input, references = 3, size of lhs = 2:
% 0.18/0.39     pppp10-{F}(V0,V1,V2,V3), part_of-{F}(V0,V3) | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #29: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp10-{F}(V0,V1,V2,V3) | incident_c-{T}(V2,V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #30: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp10-{F}(V0,V1,V2,V3) | part_of-{T}(V0,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #31: input, references = 3, size of lhs = 1:
% 0.18/0.39     inner_point-{F}(V0,V1) | pppp4-{T}(V1,V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #32: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp4-{F}(V1,V0) | inner_point-{T}(V0,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #33: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp4-{F}(V0,V1) | incident_c-{T}(V1,V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #34: input, references = 3, size of lhs = 2:
% 0.18/0.39     pppp4-{F}(V0,V1), end_point-{F}(V1,V0) | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #35: input, references = 3, size of lhs = 1:
% 0.18/0.39     incident_c-{F}(V1,V0) | pppp4-{T}(V0,V1), end_point-{T}(V1,V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #36: input, references = 3, size of lhs = 1:
% 0.18/0.39     meet-{F}(V0,V1,V2) | pppp5-{T}(V2,V1,V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #37: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp5-{F}(V2,V1,V0) | meet-{T}(V0,V1,V2)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #38: input, references = 3, size of lhs = 3:
% 0.18/0.39     #-{F} V0, #-{F} V1, #-{F} V2 | pppp13-{T}(V0,V1,V2)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #39: input, references = 3, size of lhs = 3:
% 0.18/0.39     pppp13-{F}(V0,V1,V2), incident_c-{F}(V2,V1), incident_c-{F}(V2,V0) | pppp5-{T}(V0,V1,V2), pppp27-{T}(V0,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #40: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp27-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V0,V1,V2)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #41: input, references = 3, size of lhs = 4:
% 0.18/0.39     pppp13-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V2), incident_c-{F}(V3,V1), incident_c-{F}(V3,V0) | end_point-{T}(V3,V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #42: input, references = 3, size of lhs = 4:
% 0.18/0.39     pppp13-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V2), incident_c-{F}(V3,V1), incident_c-{F}(V3,V0) | end_point-{T}(V3,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #43: input, references = 3, size of lhs = 2:
% 0.18/0.39     pppp13-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V2) | incident_c-{T}(V2,V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #44: input, references = 3, size of lhs = 2:
% 0.18/0.39     pppp13-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V2) | incident_c-{T}(V2,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #45: input, references = 3, size of lhs = 3:
% 0.18/0.39     pppp12-{F}(V0,V1,V2), end_point-{F}(V2,V1), end_point-{F}(V2,V0) | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #46: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp12-{F}(V0,V1,V2) | incident_c-{T}(V2,V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #47: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp12-{F}(V0,V1,V2) | incident_c-{T}(V2,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #48: input, references = 3, size of lhs = 1:
% 0.18/0.39     closed-{F}(V0) | pppp6-{T}(V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #49: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp6-{F}(V0) | closed-{T}(V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #50: input, references = 3, size of lhs = 2:
% 0.18/0.39     pppp6-{F}(V0), end_point-{F}(V1,V0) | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #51: input, references = 3, size of lhs = 1:
% 0.18/0.39     #-{F} V0 | pppp6-{T}(V0), pppp28-{T}(V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #52: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp28-{F}(V0) | EXISTS V1: pppp14-{T}(V0,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #53: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp14-{F}(V0,V1) | end_point-{T}(V1,V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #54: input, references = 3, size of lhs = 1:
% 0.18/0.39     open-{F}(V0) | pppp7-{T}(V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #55: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp7-{F}(V0) | open-{T}(V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #56: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp7-{F}(V0) | EXISTS V1: pppp15-{T}(V0,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #57: input, references = 3, size of lhs = 1:
% 0.18/0.39     end_point-{F}(V1,V0) | pppp7-{T}(V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #58: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp15-{F}(V0,V1) | end_point-{T}(V1,V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #59: input, references = 4, size of lhs = 2:
% 0.18/0.39     part_of-{F}(V0,V1), V0 == V1 | open-{T}(V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #60: input, references = 3, size of lhs = 6:
% 0.18/0.39     end_point-{F}(V3,V2), end_point-{F}(V3,V0), end_point-{F}(V3,V1), part_of-{F}(V2,V4), part_of-{F}(V0,V4), part_of-{F}(V1,V4) | part_of-{T}(V0,V1), part_of-{T}(V1,V0), part_of-{T}(V2,V0), part_of-{T}(V0,V2), part_of-{T}(V2,V1), part_of-{T}(V1,V2)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #61: input, references = 3, size of lhs = 1:
% 0.18/0.39     #-{F} V0 | EXISTS V1: pppp16-{T}(V0,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #62: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp16-{F}(V0,V1) | inner_point-{T}(V1,V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #63: input, references = 3, size of lhs = 1:
% 0.18/0.39     inner_point-{F}(V1,V0) | EXISTS V2: pppp18-{T}(V0,V1,V2)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #64: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp18-{F}(V0,V1,V2) | EXISTS V3: pppp17-{T}(V2,V0,V1,V3)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #65: input, references = 3, size of lhs = 3:
% 0.18/0.39     pppp17-{F}(V0,V1,V2,V3), P_sum-{F}(V0,V3,V4), V1 == V4 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #66: input, references = 3, size of lhs = 2:
% 0.18/0.39     pppp17-{F}(V0,V1,V2,V3), P_sum-{F}(V0,V3,V4) | meet-{T}(V2,V0,V3)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #67: input, references = 3, size of lhs = 6:
% 0.18/0.39     end_point-{F}(V2,V3), end_point-{F}(V0,V3), end_point-{F}(V1,V3), V0 == V1, V2 == V0, V2 == V1 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #68: input, references = 3, size of lhs = 1:
% 0.18/0.39     end_point-{F}(V1,V0) | EXISTS V2: pppp19-{T}(V0,V1,V2)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #69: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp19-{F}(V0,V2,V2) | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #70: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp19-{F}(V0,V1,V2) | end_point-{T}(V2,V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #71: input, references = 3, size of lhs = 4:
% 0.18/0.39     P_sum-{F}(V0,V1,V2), end_point-{F}(V3,V0), meet-{F}(V4,V0,V1), closed-{F}(V2) | meet-{T}(V3,V0,V1)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #72: input, references = 3, size of lhs = 2:
% 0.18/0.39     P_sum-{F}(V0,V1,V2), meet-{F}(V3,V0,V1) | EXISTS V4: pppp20-{T}(V2,V4)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #73: input, references = 3, size of lhs = 2:
% 0.18/0.39     pppp20-{F}(V0,V1), V1 == V0 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #74: input, references = 3, size of lhs = 3:
% 0.18/0.39     #-{F} V0, #-{F} V1, V0 == V1 | EXISTS V2: pppp21-{T}(V1,V0,V2)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #75: input, references = 3, size of lhs = 3:
% 0.18/0.39     pppp21-{F}(V0,V1,V2), incident_c-{F}(V2,V0), incident_c-{F}(V2,V1) | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #76: input, references = 3, size of lhs = 1:
% 0.18/0.39     pppp21-{F}(V0,V1,V2) | incident_c-{T}(V2,V1), incident_c-{T}(V2,V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #77: input, references = 4, size of lhs = 0:
% 0.18/0.39     FALSE | EXISTS V0: pppp23-{T}(V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #78: input, references = 4, size of lhs = 1:
% 0.18/0.39     pppp23-{F}(V0) | EXISTS V1: pppp22-{T}(V1,V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #79: input, references = 5, size of lhs = 2:
% 0.18/0.39     pppp23-{F}(V0), open-{F}(V0) | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #80: input, references = 4, size of lhs = 1:
% 0.18/0.39     pppp22-{F}(V0,V1) | part_of-{T}(V1,V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #81: input, references = 4, size of lhs = 1:
% 0.18/0.39     pppp22-{F}(V0,V1) | open-{T}(V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #82: input, references = 3, size of lhs = 2:
% 0.18/0.39     #-{F} V0, #-{F} V1 | EXISTS V2: P_sum-{T}(V0,V1,V2)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  number of initial rules = 83
% 0.18/0.39  
% 0.18/0.39  Simplifiers:
% 0.18/0.39  #83: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     P_sum-{F}(V0,V1,V2), P_sum-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #84: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #85: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #86: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #87: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V4,V1,V2,V7), V3 == V7 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #88: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #89: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp12-{F}(V0,V1,V2), pppp12-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #90: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #91: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #92: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #93: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp17-{F}(V0,V1,V2,V3), pppp17-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #94: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp17-{F}(V0,V1,V2,V3), pppp17-{F}(V4,V1,V2,V7), V0 == V4 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #95: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #96: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp19-{F}(V0,V1,V2), pppp19-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #97: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp20-{F}(V0,V1), pppp20-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #98: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp21-{F}(V0,V1,V2), pppp21-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #99: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp22-{F}(V0,V1), pppp22-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #100: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp22-{F}(V0,V1), pppp22-{F}(V2,V3), V1 == V3 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #101: unsound, references = 3, size of lhs = 3:
% 0.18/0.39     pppp23-{F}(V0), pppp23-{F}(V1), V0 == V1 | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  number of simplifiers = 19
% 0.18/0.39  
% 0.18/0.39  Learnt:
% 0.18/0.39  #106: exists( #78, #104 ), references = 1, size of lhs = 1:
% 0.18/0.39     pppp23-{F}(V0) | pppp22-{T}(V0,V0)
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  #110: exists( #77, #108 ), references = 1, size of lhs = 0:
% 0.18/0.39     FALSE | FALSE
% 0.18/0.39        (used 0 times, uses = {})
% 0.18/0.39  
% 0.18/0.39  number of learnt formulas = 2
% 0.18/0.39  
% 0.18/0.39  
% 0.18/0.39  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.39  
% 0.18/0.39  randbase = 1
%------------------------------------------------------------------------------